"Mitchael owes $8 to his bank, so he decides to add $60 in April at a rate of $2 per day. How many days Mitchael needs in order to get $28 in his account?"
Explanation:Hello! Remember you have to write clear questions in order to get good and exact answers. The given equation doesn't make any sense so I'll assume the correct one is:
[tex]-8+60x=28[/tex]
So let's write a real world problem you could answer by solving the equation:
"Mitchael owes $8 to his bank, so he decides to add $60 in April at a rate of $2 per day. How many days Mitchael needs in order to get $28 in his account?"
So by isolating x (number of months):
[tex]x=\frac{28+8}{60} \\ \\ x=0.6 \ month \\ \\ \\ Since \ we \ need \ the \ number \ of \ days: \\ \\ April \ has \ 30 \ days, \ so: \\ \\ x-day=0.6\times 30=18 \ days[/tex]
So Mitchael would need 18 days in order to get $28 in his account
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To solve the equation -8+60=28, we follow basic arithmetic by adding the positive payment to the negative debt which gives us 52. This answer indicates an error in the original problem statement, as the expected balance does not match with the calculated one.
A real-world problem that could be answered by solving the equation -8+60=28 might involve a scenario where someone is tracking their financial transactions. Suppose you start with a debt of \(-8 dollars and then receive 60 dollars as a payment of some sort. The question could be to determine how much money you have after receiving the payment. To find out, you would solve the equation to see if your final balance is 28 dollars as expected.
Let's solve this step-by-step:
Add the amount received to the initial debt: \( -8 + 60 \).
Calculate the sum which gives us \( 52 \).
Therefore, after receiving the payment, you have 52 dollars.
To answer the original equation, the final balance should be 28 dollars; however, the solution we found is 52 dollars, indicating there might be a mistake in the original problem statement or the transactions recorded.
Compare and contrast the methods used by African and Asian nations to achieve independence.
Answer: Decolonization as a result of World War II.
Step-by-step explanation:
With the end of World War II, the process of decolonization of the African and Asian continents began. It is the result of the destruction brought with it by World War II, but also by the liberalization that took place in Europe after World War II. In this context, it isn't effortless to point out the particular methods used by nations on these two continents. Decolonization is, however, an independent will and intervention of European countries.Yet the colonization of nations was not entirely passive in terms of resistance to the European invaders. There were several uprisings against the colonists. However, what characterizes both fights for independence is the emergence of nationalism. This is the pattern that African and Asian countries have taken over from Europeans. The form of resistance also consisted in the fact that there was a specific political will on the part of certain domestic elites, as in the case of the West African National Congress or the South African National Congress.A particular form of struggle for independence existed in India. This Asian country led its effort by methods of civil disobedience, non-payment of taxes, and refusal to work. The creator of this form of struggle was the leader of the Indian independence movement Mahatma Gandhi. An example of diminishing "third country" influence was an international intervention. Such an example is evident in Korea, where the United States and the Soviet Union eliminated Japanese colonial pretensions by their impact.Jack has a square garden in front of his house. The garden has an area of 66 square yards. Find the length of each side of the garden. Round your answer to the nearest tenth of a yard.
1. 8.2 yards
2. 8.1 yards
3. 8.3 yards
4. 8.4 yards
What is the slope intercept form of this equation? 8x +6y=12
Answer:
y=-4/3x+2
Step-by-step explanation:
In x-5=9 the correct way to isolate the variable is to The number On both sides.
Answer:
x=14
Step-by-step explanation:
not sure what your asking for???
x-5=9
x=14
4/5 divided by 3/4 which equals something
Answer:
1.067
Step-by-step explanation:
A bakery sells 5 apple muffins for every 2 bran muffins.
Answer:
[tex]Apple\ muffin\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Bran\ muffin\\10\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 4\\15\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6\\20\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 8\\35\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 14[/tex]
Step-by-step explanation:
[tex]For\ 5\ apple\ muffins, bran\ muffin=2\\\\Ratio\ of\ bran\ muffin\ to\ apple\ muffin=\frac{number\ of\ bran\ muffin}{number\ of\ apple\ muffin}\\\\Ratio\ of\ bran\ muffin\ to\ apple\ muffin=\frac{2}{5}\\\\Bran\ muffin=\frac{2}{5}\times apple\ muffin\\\\When\ apple\ muffin=10\\\\Bran\ muffin=\frac{2}{5}\times 10=4\\\\When\ apple\ muffin=15\\\\Bran\ muffin=\frac{2}{5}\times 15=6\\\\When\ apple\ muffin=20\\\\Bran\ muffin=\frac{2}{5}\times 20=8[/tex]
[tex]When\ apple\ muffin=35\\\\Bran\ muffin=\frac{2}{5}\times 35=14[/tex]
What is the answer to -8(-8x-6)=-6x-22
Answer:
THE ANSWER IS 1.2068965517
Step-by-step explanation:
The length of a rectangle is five feet less than
its width. If the area of the rectangle is 84
square feet, find its dimensions.
Answer:
Length is w-5
Area = length x width
84 = (w-5)w
84 = w^2 - 5w
0 = w^2 - 5w - 84
0 = ( w - 12 )( w + 7 )
w + 7 = 0 leads to negative measures.
w-12=0 ---> w = 12
width is 12, length is 5 less, or 7
The dimensions of the rectangle are 12 feet by 7 feet, determined by solving the quadratic equation derived from the relationship between the length and width and the given area of the rectangle.
To find the dimensions of a rectangle where the length is five feet less than its width and the area is 84 square feet, we can set up an equation. Let's define the width of the rectangle as w feet. Then, the length would be w - 5 feet. Since the area of a rectangle is defined as the product of its length and width, we get the following equation:
w times (w - 5) = 84
Expanding the left side gives us:
w^2 - 5w = 84
To solve this quadratic equation, move all terms to one side to set the equation to zero:
w^2 - 5w - 84 = 0
Factoring the quadratic equation, we look for two numbers that multiply to give -84 and add to give -5. These numbers are -12 and +7. So the equation factors as follows:
(w - 12)(w + 7) = 0
The solutions to the equation are w = 12 and w = -7. However, width cannot be negative in this context, so we discard w = -7. Thus, the width is 12 feet and the length is 12 - 5 = 7 feet.
Therefore, the dimensions of the rectangle are 12 feet by 7 feet.
WILL MARK BRAINLIEST AND THANK YOU!!! PLEASE HELP!!
Find the area of the shaded region.
540 sq km
113.1 sq km
426.9 sq km
320 sq km
Answer:
426.9 Km²
Step-by-step explanation:
The shaded area is the area of the triangle subtract the area of the circle.
Area of triangle = 0.5 bh ( b is the base and h the perpendicular height )
Here b = 40 and h = 27, thus
Area = 0.5 × 40 × 27 = 20 × 27 = 540 Km²
Area of circle = πr² ← r is the radius
Here the diameter is 12, thus radius = 12 ÷ 2 = 6
Area = π × 6² = 36π ≈ 113.1 Km²
Shaded area = 540 - 113.1 = 426.9 Km²
Martin has a 7/23 balloon mortgage on his $195,000 home. He has been
making payments of $965 each month and will have a balloon payment due
for the amount of $170,143. If he decides to make the balloon payment, what
will be the total financed price he paid for his home?
Answer: 251,203
Step-by-step explanation:
Martin pays 965 every month for seven years. Therefore,
965×12×7= 81,060
Then, he has a balloon payment of 170,143 to make. Therefore, totaal financed price he paid for his home is 81,060+170,143= 251,203.
Answer: 251,203
Step-by-step explanation:
Martin pays 965 every month for seven years. Therefore,
965×12×7= 81,060
Then, he has a balloon payment of 170,143 to make. Therefore, totaal financed price he paid for his home is 81,060+170,143= 251,203.
Workers in an office of 60 staff were asked their favourite type of take-away.
The results are summarised in the table.
Take-away Frequency Angle
Pizza 7
a
Curry 19
b
Fish & chips 4
c
Kebab 5
d
Other 25
e
Work out the size of each angle to draw a pie chart.
Answer:
Angles: 42°, 114°, 24°, 30°, 150°.
Step-by-step explanation:
Pie Charts
They represent the comparative values of a given variable subject to study. The whole pie is cut in angular sections where all the angles must sum 360°. If the sum of all the values is S and one particular value is x, then the angle of its circular section is given by
[tex]\displaystyle angle=\frac{x}{S}\ 360^o[/tex]
We have the staff of an office is S=60. When asked about their favorite type of takeaway we get:
Pizza: 7. Its corresponding angle is
[tex]\displaystyle angle=\frac{7}{60}\ 360^o=42^o[/tex]
Curry 19.
[tex]\displaystyle angle=\frac{19}{60}\ 360^o=114^o[/tex]
Fish & chips 4
[tex]\displaystyle angle=\frac{4}{60}\ 360^o=24^o[/tex]
Kebab 5
[tex]\displaystyle angle=\frac{5}{60}\ 360^o=30^o[/tex]
Other 25
[tex]\displaystyle angle=\frac{25}{60}\ 360^o=150^o[/tex]
We can see the sum of all angles is 360°
The angles for the pie chart are as follows:
- Pizza: 42 degrees
- Curry: 114 degrees
- Fish & chips: 24 degrees
- Kebab: 30 degrees
- Other: 150 degrees
These angles can be used to create a pie chart that accurately represents the favorite take-away choices of the office staff.
To calculate the size of each angle for the pie chart representing the favorite take-away choices of the 60 office staff, we need to determine the percentage each category represents in the total.
First, add up the frequencies:
Pizza + Curry + Fish & chips + Kebab + Other = 7 + 19 + 4 + 5 + 25 = 60
Now, calculate the percentage for each category:
- Pizza: (7/60) * 100% = 11.67%
- Curry: (19/60) * 100% = 31.67%
- Fish & chips: (4/60) * 100% = 6.67%
- Kebab: (5/60) * 100% = 8.33%
- Other: (25/60) * 100% = 41.67%
Now that we have the percentages, we can calculate the corresponding angles for the pie chart.
Each percentage corresponds to a fraction of the total 360 degrees in a circle.
So, for example, Pizza would be (11.67/100) * 360 = 42 degrees, Curry would be (31.67/100) * 360 = 114 degrees, and so on.
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Write a quadratic equation and solve it by completing the square. Show your work.
Answer:
Let the quadratic equation be [tex]2x^2 +12x+ 6[/tex]
Step 1: Take the coefficients of the [tex]x^2[/tex] term and divide the entire equation
Here the coefficient of [tex]x^2[/tex] is 2
So dividing the entire equation by 2, we get
[tex]x^2 +6x+ 3[/tex]
Step 2: Move the constant term to the right side of the equation
[tex]x^2 +6x = - 3[/tex]
Step 3: Complete the square on the left side of the equation and balance this by adding the same number to the right side of the equation
[tex](\frac{b}{2})^2[/tex] = [tex](\frac{6}{2})^2[/tex] = [tex](3)^2[/tex] = 9
[tex]x^2 +6x + 9 = - 3 +9[/tex]
[tex](x+3)^2 = 6[/tex]
Step 4: Take the square root on both sides of the equation
[tex](x+3) = \sqrt{6}[/tex]
[tex]x+3 = \pm 2.45[/tex]
Step 5 Subtract 3 from both sides:
[tex]x+3 - 3 = \pm 2.45 -3[/tex]
[tex]x = \pm 2.45 -3[/tex]
x = 2.45 - 3 or x = -2.45 - 3
x = - 0.55 or x = -5.45
Jane construct a four sided wall to wall to surround their castle . The wall has a perimeter of 100 feet. One side measures 16 feet. A different side side measures 22 feet. A third side measures 34 feet. What is the unknown side length
Answer:
34+22=56+16=72 100-72=28 feet
Step-by-step explanation:
PLEASE HELP ME :(
The base of a square pyramid has side lengths that are 14 inches. The distance from the top of the pyramid to the middle of the side of the base is 15 inches. What is the height of the pyramid? Round to the nearest tenth, if necessary.
Answer:
The height of the pyramid is 13.3 inches
Step-by-step explanation:
Let
h ----> the height of the pyramid
b ---> the base of the square pyramid
we know that
Applying the Pythagorean Theorem
[tex]15^2=h^2+(\frac{b}{2})^2[/tex]
see the attached figure to better understand the problem
we have
[tex]b=14\ in[/tex]
substitute
[tex]15^2=h^2+(\frac{14}{2})^2[/tex]
Solve for h
[tex]225=h^2+49\\h^2=225-49\\h^2=176\\h=\sqrt{176}\ in\\h=13.3\ in[/tex]
1. I think of a positive number, multiply it by 4, add six, and then divide the answer by
2, and square the result. Then I subtract 9, and divide the result by the number I first
thought of. My answer is 20. What number did I think of?
Answer: 2
Step-by-step explanation:
2 times 4 = 8
8 plus 6 = 14
14 divided by 2 = 7
7 squared = 49
49 minus 9 = 40
40 divided by 2 = 20
In this problem we convert the operations into an equation and solve it step by step until we get two possible answers. We pick the one that fits the conditions of the problem, which gives us 9 as the positive number the student had originally thought of.
Explanation:Let's denote the number you are thinking of as x. Following your sequence of operations we can translate this into an equation:
(((4x + 6) / 2)² - 9) / x = 20
Solving this equation can be done step by step:
Multiply through by 2x to remove the denominator: ((4x + 6)² - 9x) = 40x.Expand the square on the left side: 16x² + 24x + 36 - 9x = 40x.Simplify by combining like terms: 16x² + 15x + 36 = 40x.Subtract 40x from both sides to form a quadratic equation: 16x² -25x + 36 = 0.This quadratic equation can be factored as (4x -1)(4x -36) = 0.Setting each set of parentheses equal to zero gives us two solutions for x: x = 0.25 or x = 9.Since you mentioned that the number you thought of was positive, we disregard 0.25 (since the squared result after the first operations would be too small to subtract 9 and still divide by the original number to get 20). Therefore, the number you thought of was 9.
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Justify each step in the solution of the equation 5(x+2)=24-2x
Final answer:
To solve the equation 5(x+2)=24-2x, distribute, combine like terms, solve for x, and check the solution. The solution x = 2 satisfies the equation, so it is valid.
Explanation:
To solve the equation 5(x+2)=24-2x, we can justify each step as follows:
Distribute the 5 to the terms inside the parentheses: 5x + 10 = 24 - 2x
Combine like terms on both sides of the equation: 5x + 2x = 24 - 10
Combine the x terms: 7x = 14
Divide both sides of the equation by 7 to solve for x: x = 2
Check the solution by substituting it back into the original equation: 5(2+2) = 24 - 2(2)
Simplify the left side: 5(4) = 24 - 4
Multiply: 20 = 20
The solution x = 2 satisfies the equation, so it is valid.
What term can you add to StartFraction 5 over 6 EndFraction x minus 4 to make it equivalent to One-half x minus 4?
Answer:
The term to add is
[tex]-\frac{1}{3} x[/tex]
Step-by-step explanation:
Let
b ----> the term to add
we have
[tex]\frac{5}{6}x-4+b=\frac{1}{2} x-4[/tex]
Solve for b
Adds 4 both sides
[tex]\frac{5}{6}x+b=\frac{1}{2} x[/tex]
subtract 5/6x both sides
[tex]b=\frac{1}{2} x-\frac{5}{6}x[/tex]
Remember that
[tex]\frac{1}{2}=\frac{3}{6}[/tex]
substitute
[tex]b=\frac{3}{6} x-\frac{5}{6}x[/tex]
[tex]b=-\frac{2}{6} x[/tex]
Simplify
[tex]b=-\frac{1}{3} x[/tex]
therefore
The term to add is
[tex]-\frac{1}{3} x[/tex]
Answer:
A
Step-by-step explanation:
48) Amily wrote the riddle below.
I am a quadrilateral.
All my sides are parallel.
I have 4 angles, but they are not all equal.
What shape could I be?
What shape does Amily's riddle best describe?
A) Pentagon B) Rectangle C) Rhombus D) Trapezoid
Answer:
C)Rhomus
Step-by-step explanation:
a rhombus is parallel
The correct answer is option C. The shape Amily's riddle best describes is Rhombus.
Let's analyze the riddle step by step to determine which shape Amily is describing.
1. Quadrilateral: The shape has four sides.
2. All sides are parallel: This indicates that opposite sides are parallel to each other, which means the shape is a type of parallelogram.
3. 4 angles, but they are not all equal: This means that although the shape has four angles, they are not all the same measure.
Given these clues, let's evaluate each option:
A) Pentagon: This is a five-sided shape, not a quadrilateral. So, this option is incorrect.
B) Rectangle: A rectangle has four sides and opposite sides are parallel. However, all the angles in a rectangle are equal (each angle is 90 degrees). So, this option is also incorrect.
C) Rhombus: A rhombus has four sides and opposite sides are parallel. Additionally, all sides are of equal length. However, a rhombus can have angles that are not all equal (typically, it has two pairs of equal angles). Given the description, this could be a potential answer, but let’s also consider the last option.
D) Trapezoid: A trapezoid has one pair of parallel sides. However, the riddle specifies that all sides are parallel, which does not match the definition of a trapezoid.
Given that the shape described has all sides parallel and the angles are not all equal, the best match is C) Rhombus.
729.46 what digit is in the tenths place ?
Answer:
4
Step-by-step explanation:
The first digit after the decimal point is the tenths place. in this case, it would be 4
Answer:
4 Is in the tenths place
Step-by-step explanation:
7 in the hundreds
2 in the tens
9 in the ones
4 in the tenths
6 in the hundredths
What is x in this equation 2-3/4x=11
Answer:
x=-12
Step-by-step explanation:
2-3/4x=11
3/4x=2-11
3/4x=-9
x=-9/(3/4)
x=(-9/1)(4/3)
x=-36/3
x=-12
What is the product? [4 2] x [-2 5 7 -1]
Answer:
The answer is [6 18}
Step-by-step explanation:
I just took the test :)
The product of the matrices [4 2] and [-2 5 7 -1] is a 1x4 matrix. The resulting matrix is [-8 -4 20 10].
In order to find the product of two matrices, we need to ensure that the number of columns in the first matrix matches the number of rows in the second matrix. The first matrix, [4 2], has 1 row and 2 columns (1x2), while the second matrix, [-2 5 7 -1], has 2 rows and 4 columns (2x4). Since the number of columns in the first matrix matches the number of rows in the second matrix, we can proceed with matrix multiplication.
To compute the product, we perform the following steps:
Step 1: Take the first row of the first matrix and multiply each element by the corresponding element in the first column of the second matrix.
- First element: 4 * (-2) = -8
- Second element: 2 * (-2) = -4
Step 2: Take the first row of the first matrix and multiply each element by the corresponding element in the second column of the second matrix.
- Third element: 4 * 5 = 20
- Fourth element: 2 * 5 = 10
Step 3: Now, we have the elements for the first row of the resulting matrix: [-8 -4 20 10].
Step 4: Repeat the above steps for the second row of the first matrix.
Step 5: Combine the results to form the final product matrix: [-8 -4 20 10].
So, the product of the matrices [4 2] and [-2 5 7 -1] is the 1x4 matrix
[-8 -4 20 10].
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Calculate for pressure (P=F/A)
Force = 2,000 N
Area = 80 cm2
Answer:
25Ncm^2
Step-by-step explanation:
Pressure = force/area
Force = 2000N
Area = 80cm^2
Therefore,
Pressure = 2000/80
= 25Ncm^2
What are the coordinates of the image of vertex R after a reflection across the y-axis? (–4, 3) (4, –3) (–3, –4) (3, 4)
(–4, 3) (4, –3) (–3, –4) (3, 4)
this is a rather simple yet complex concept the easiest way to solve these is to do the exact opposite.
so in this instance it is refrcted across the y-axiss so we swap ONLY the x value NOT the Y ie (-4,3) would switch to (4,3)
same thing would apply if it reflected across x-axis ex (-4,-3)
If it reflect across orgin you change both signs. ex (4,-3)
ie.
(–4, 3) (4, –3) (–3, –4) (3, 4)
changes to
(4, 3) (-4, –3) (3, –4) (-3, 4)
hope it helps
The coordinates of the image of vertex R after a reflection across the y-axis is (3, 4).
What is reflection?A reflection is an involution: when applied twice in succession, every point returns to its original location, and every geometrical object is restored to its original state.
Given is a point R = (-3, 4) we need to find the coordinates of the point R after it being reflected over y-axis,
So, we know that,
When dealing with reflection of a line or shape or a figure in the coordinate plane, especially if it is reflected across the y-axis, you just have to give the opposite of the given (original) x- coordinate in order to give a symmetric figure.
The rule of reflection over y-axis is =
(x, y) = (-x, y)
So,
R = (-3, 4), after it being reflected over y-axis =
R' = (3, 4)
Hence the coordinates of the image of vertex R after a reflection across the y-axis is (3, 4).
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A building is 3 ft from an 8-ft fence that surrounds the property. A worker wants to wash a window in the building 13 ft from the ground. He plans to place a ladder over the fence so it rests against the building. (See the figure.) He decides he should place the ladder 8 ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need?
Answer:
Length of the ladder used by worker = 17 feet
Step-by-step explanation:
Given:
Height of the window from the ground = 13 ft
Distance of fence from the building = 3 ft
Distance of ladder from the building = (3+8) = 11 ft
We have to find the length of the ladder.
Let the length of the ladder be 'x'
From the diagram we can also say that 'x' is the hypotenuse of the right angled triangle.
Using Pythagoras formula:
⇒ [tex]hypotenuse\ 'x' =\sqrt{(perpendicular)^2+(base)^2}[/tex]
Here base length = 11 ft
Perpendicular = 13 ft
Plugging the values:
⇒ [tex]x=\sqrt{(13)^2+(11)^2}[/tex]
⇒ [tex]x=\sqrt{(169+121)}[/tex]
⇒ [tex]x= \sqrt{290}[/tex]
⇒ [tex]x=17.02[/tex] feet
The length of the ladder = 17 feet to its nearest tenth.
The worker will need a ladder that is approximately 8.5 feet long. This calculation is based on the Pythagorean theorem, considering the ladder's placement 8 feet from the fence and the need to reach a window 13 feet above the ground.
To find the length of the ladder the worker needs, we can use the Pythagorean theorem, as the ladder, the distance from the building, and the distance from the fence form a right triangle.
Let:
L be the length of the ladder.
D be the distance from the building to where the ladder rests (8 ft).
F be the distance from the fence to where the ladder rests (3 ft).
According to the Pythagorean theorem, we have:
[tex]L^2 = D^2 + F^2[/tex]
Substitute the known values:
[tex]L^2 = 8^2 + 3^2[/tex]
[tex]L^2 = 64 + 9[/tex]
[tex]L^2 = 73[/tex]
Now, take the square root of both sides:
L ≈ √73 ≈ 8.54 ft (rounded to the nearest tenth)
So, the worker will need a ladder that is approximately 8.5 feet long to safely reach the window 13 feet above the ground when placed 8 feet from the fence for stability.
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Find the missing number:
QUICKLY PLEASE
Missing value is Decreased by 20%
Step-by-step explanation:
We need to find the missing term.
As we can see from the figure we go from Decreased 10% and then decreased 10% to reach the final goal.
If we directly go from starting point to end point the total will be decreased by 20% as (10%+10%= 20%)
So, Missing value is Decreased by 20%
Tony was Challenged to a half-court shooting competition. For every half-court shot that he makes, he will earn 20 points. For each half-court shot he misses, he will lose 5 points. After 20 half- court shots, Tony has zero points. How many half-court shots he make? How many half-court shots did he miss?
Answer:
Tony make 4 half-court shots and misses 16 half-court shots.
Step-by-step explanation:
Given:
Points earned for every successful, half-court shots = [tex]20[/tex]
Points deducted for missing the shots = [tex]5[/tex] or [tex]-5[/tex]
Total number of shots in the game = [tex]20[/tex]
Final points earned by Tony = [tex]0[/tex]
According to the question:
Let the number of successful half-court shot be [tex]x[/tex]
And the number of shots missed be [tex]20-x[/tex]
So,
In terms of points we can re-write it as:
⇒ [tex]20(x)-5(20-x) =0[/tex]
⇒ [tex]20x-100+5x=0[/tex]
⇒ [tex]25x-100=0[/tex]
⇒ [tex]25x-100+100=100[/tex]
⇒ [tex]25x=100[/tex]
⇒ [tex]\frac{25x}{25} =\frac{100}{25}[/tex]
⇒ [tex]x=\frac{100}{25}[/tex]
⇒ [tex]x=4[/tex]
Tony make 'x' shots that is 4 and the number of shot he missed is (20-x) =(20-4)=16
Find the value of x. Enter a decimal rounded to the nearest tenth.
Answer:
x = 3.6
Step-by-step explanation:
The 2 chords intersect inside the circle, thus
The product of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord, that is
5x = 6 × 3 = 18 ( divide both sides by 5 )
x = 3.6
NEED HELP ASAP RIGHT NOW
John sells ice cream bars at the beach. In addition to a fixed salary, he earns a commission for each ice cream bar he sells. The table shows John's total earnings, y, from selling x bars of ice cream:
Ice Cream Sales and Earnings
Number of Bars Sold (x) Total Earnings (dollars) (y)
0 40
1 44
2 48
3 52
Which equation best shows the relationship between x and y?
y = x + 44
y = 4x + 44
y = x + 40
y = 4x + 40
Answer:
y=4x+40
Step-by-step explanation:
The equation best shows the relationship between x and y is y = 4x + 40.
The equation is as follows:Given that,
John's total earnings, y, from selling x bars of ice cream
So based on this, the following equation should be considered
y = 4x + 40
Therefore, the last option is correct.
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calculate the length of the line segment. round your answer to the nearest tenth.
a) 4.6
b) 6.9
c) 8.6
d) 9.3
Answer:
c) 8.6
Step-by-step explanation:
Take the coordinates of the two points.
(0,8) and (7,3)
Formula:
√(x₁ - x₂)² + (y₁ - y₂)²
Substitute:
√(0 - 7)² + (8 - 3)²
√(-7)² + (5)²
√(49) + (25)
√(74) ≈ 8.6
The question appears to be incomplete as it doesn't provide the necessary coordinates for calculating the length of a line segment. The distance formula or Pythagorean theorem would generally be used to calculate this in Mathematics.
Explanation:Given the format of the question, it seems that it's incomplete or missing the relevant coordinates we need to calculate the length of a line segment. Normally in mathematics, we would use the distance formula, or Pythagorean theorem, to compute the length of a line segment between two points in a plane. The formula is √[(x₂-x₁)² + (y₂-y₁)²], where (x₁,y₁) and (x₂, y₂) are the coordinates of the two points. In this scenario, without information about the coordinates, we can't compute the length of a line segment. However, if you provided me with the coordinates, I can guide you in computing the length of the line segment.
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f(x) = x + 2 g(x) = x – 4
(f g)(x) =
Answer:
x-2
Step-by-step explanation:
x-4+2 = x-2
Answer:
x^2 - 2x - 8
Step-by-step explanation: