Answer:
x = -75
Step-by-step explanation:
x/-5=15
x = 15 x -5
x = -75
Answer:
-75
Step-by-step explanation:
Step by step solution :
Step 1 :
x
Simplify ——
-5
Equation at the end of step 1 :
x
—— - 15 = 0
-5
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using -5 as the denominator :
15 15 • -5
15 = —— = ———————
1 -5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • -1 - (15 • 5) -x - 75
————————————————— = ———————
5 5
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
-x - 75 = -1 • (x + 75)
Equation at the end of step 3 :
-x - 75
——————— = 0
5
Step 4 :
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
-x-75
————— • 5 = 0 • 5
5
Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-x-75 = 0
Solving a Single Variable Equation :
4.2 Solve : -x-75 = 0
Add 75 to both sides of the equation :
-x = 75
Multiply both sides of the equation by (-1) : x = -75
One solution was found :
x = -75
brainlest please
The ellipse x^2/4 + y^2/16 = 1
Has a vertical axis of??
8
16
4
3
The vertical axis of the given ellipse x^2/4 + y^2/16 = 1 is 8 units long, and each semimajor axis for an ellipse with a major axis of 16 cm would be 8 cm. An ellipse with an eccentricity of 0.8 would be considered elongated.
Explanation:The ellipse given by the equation x^2/4 + y^2/16 = 1 has a vertical major axis. This can be deduced because the larger denominator is under the y^2 term, meaning the ellipse stretches further in the y-direction. In this case, the length of the major axis is 2 times the square root of 16, which is 2 times 4, equaling 8. Therefore, the major axis is 8 units long, and since each semimajor axis is half of the major axis, the semimajor axis would be 4 units long. Consequently, for the given options, the vertical axis of the ellipse is 8.
Considering a different ellipse with a major axis of 16 cm, the semimajor axis would be half of this length, resulting in 8 cm. If such an ellipse has an eccentricity of 0.8, it is more elongated than circular. Typically, ellipses with lower eccentricities (closer to 0) appear more circular, while those with higher eccentricities (closer to 1) appear more elongated.
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What is the equation of the line that has a slope of 4 and passes through the point (3,-10)
Answer:
y=4x-22
Step-by-step explanation:
y-y1=m(x-x1)
y-(-10)=4(x-3)
y+10=4x-12
y=4x-12-10
y=4x-22
How to solve for m in -2/9m + 12 = -8
Final answer:
To solve the equation -2/9m + 12 = -8 for m, subtract 12 from both sides, then multiply by -9/2. The solution is m = 90.
Explanation:
To solve the equation -2/9m + 12 = -8 for m, start by isolating the term involving m. Subtract 12 from both sides of the equation to get:
-2/9m = -8 - 12
-2/9m = -20
Next, multiply both sides by -9/2 to solve for m:
m = (-20) * (-9/2)
m = 180/2
m = 90
Therefore, the solution to the equation is m = 90.
How do I solve for n in this equation:
-6n-20=-2n+4(1-3n)
Answer:
-6n-20=-2n+4(1-3n)
Solution
The bracket should be expanded
-6n-20=-2n+4-12n
Then we collect the like terms
-6n + 2n+12n = 20+4
8n=24
Now divide both sides by 8
8n/8 =24/8
n = 3
You can now insert 3 into anywhere you see n and see how it goes
-6n-20= -2n + 4(1-3n)
-6(3) - 20 = -2(3) + 4[ 1-3(3)]
-18 -20= -6 + 4(1-9)
-38= -6 -32
-38= - 38
That's all
Step-by-step explanation:
What could be the scale factor of the following similar figures?
A. 2/3
B. 3/4
C. 1
D. 3/2
E. 4/3
There are two correct answers.
Answer:
2/3 and 3/2
Step-by-step explanation:
I got a problem like that in class today and I got it right lol
The scale factor of the following similar figures is 2/3 or 3/2.
Similar FiguresTwo figures are said to be similar if they have the same shape and proportional sides.
Therefore the ratio of their corresponding sides are constant. The scale factor is the same as the ratio of their corresponding sides.
From the question:
Scale factor = 6/9 or 9/6 = 2/3 or 3/2Hence the scale factor of the following similar figures is 2/3 or 3/2.
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The sum of two numbers is 90. The larger number 14 more than 3 times the smaller number. Find the numbers.
The numbers are 71 and 19
Solution:
Let "x" be the larger number
Let "y" be the smaller number
Given that,
Sum of two numbers is 90
Therefore,
x + y = 90 ------ eqn 1
The larger number 14 more than 3 times the smaller number
Larger number = 14 + 3(smaller number)
x = 14 + 3y ------ eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
14 + 3y + y = 90
14 + 4y = 90
4y = 90 - 14
4y = 76
Divide both sides by 4
y = 19
Substitute y = 19 in eqn 2
x = 14 + 3(19)
x = 14 + 57
x = 71
Thus the numbers are 71 and 19
Laurie buys four bags of candy with ten pieces of candy in each bag then her father gives her five more pieces of candy Laurie wants to give as much of her candy as she can to each of her six friends and she wants to make sure they get a equal number of pieces how many pieces will be left over if any after Laurie gives her friends the candy
Answer:
The answer is 7 candies for each friend with a remainder of 3. If you are taking or have taken decimals i suggest you write 7.5 because candy can be split in half.
Step-by-step explanation:
First, multiply 4 by 10. The product is 40. Then, add 5. The sum is 45. Divide 45 by 6. The quotient is 7 with a remainder of 3.
o
A teacher wrote the equation 3y + 12 = 6x on the board. For what value of b would the additional equation 2y = 4x +
b form a system of linear equations with infinitely many solutions?
Ob= -8
Ob=-4
Ob=2
O b = 6
Intro
Done
Answer:
b= -8
Step-by-step explanation:
we have: 3y +12 = 6x <=> y + 4 = 2x <=> y= 2x - 4
=> 2y=4x + b
<=> 2(2x-4) = 4x +b
<=> 4x - 8= 4x +b
<=> b = -8
28 and 65 thousands as a decimal help asap Iready question 2 does anybody have a answer key for all the iready questions plz help
Answer:
28.065
Step-by-step explanation:
express each fraction as the sum of two or three equal fractional parts. rewite each as a multiplication equation. show part a on a number line.
See the explanation
Explanation:Hello! remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any fraction so I'll give you a fraction in order to illustrate this problem such that the fraction can be rewritten as the sum of two equal fractional parts and that that fraction can also be rewritten as a multiplication equation:
CHOSEN FRACTION:
[tex]\frac{16}{15}[/tex]
1. Written as the sum of two equal fractional parts:
[tex]Let's \ divide \ this \ fraction \ by \ 2: \\ \\ \frac{16}{15}\div 2=\frac{8}{15} \\ \\ \\ So: \\ \\ \frac{16}{15}=\frac{8}{15}+\frac{8}{15}[/tex]
2. Written as a multiplication equation:
[tex]We \ can \ write: \\ \\ 16=4\times 4 \\ \\ 15=3\times 5 \\ \\ \\ So: \\ \\ \frac{16}{15}=\frac{4}{3}\times \frac{4}{5}[/tex]
The addition problem is shown below in the number line.
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A biking track has a length of 0.8 miles mi. How long is this in feet ft?
imagine a warehouse that has a rectangular floor and that contains all of the boxes of breakfast cereal bought in the united states in one year if the warehouse 10 feet tall what could the side lengths of the floor be
Answer:
see the explanation
Step-by-step explanation:
The complete question in the attached figure
step 1
Find the volume of a typical cereal box
[tex]V=LWH[/tex]
substitute the given values
[tex]V=(2.5)(7.75)(11.75)=227.65625\ in^3[/tex]
Convert to cubic feet
Remember that
[tex]1\ ft=12\ in[/tex]
so
[tex]1\ ft^3=1,728\ in^3[/tex]
so
[tex]227.65625\ in^3=(227.65625/1,728)\ ft^3[/tex]
step 2
Find the volume of all of the boxes of breakfast cereal bought in the united states in one year
Multiply the volume of one box by 2.7 billion boxes
[tex](227.65625/1,728)(2,700,000,000)=355,712,890.625\ ft^3[/tex]
step 3
If the warehouse is 10 feet tall what could the side lengths of the floor be?
Divide the volume by the height to obtain the area of the rectangular base
[tex]A=(355,712,890.625)/10=35,571,289\ ft^2[/tex]
If the floor were a square, the dimensions would be
5,964 ft by 5,694 ft approximate
The area of the warehouse's floor can be calculated by dividing the total volume of cereal boxes by the height of the warehouse, which is given to be 10 feet. The exact dimensions of the floor (length and width) cannot be determined from the information given. Many combinations of length and width can yield the same area.
Explanation:Given the problem, it is implied we must estimate the size of the warehouse able to contain the volume of all the cereal boxes purchased in the United States in one year. The shape mentioned is a rectangular prism (a box), with known height 10 feet. The area of the warehouse floor (base) would be the total volume divided by the height of the warehouse.
However, the information needed to calculate the exact dimensions of the warehouse's base (length and width) is not provided in the question. Essentially, many combinations of length and width could yield the same area. For example, if the area was 200 sq ft, it could be 20 ft by 10 ft, or 40 ft by 5 ft, and so on.
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Decide which variable to isolate. Then substitute for this variable, and solve the system x=y+4, 3x +y=16
x = y + 4 is already done so we will substitute that into the other equation!
3(y + 4) + y = 16
Distribute.
3y + 12 + y = 16
Add the terms.
4y + 12 = 16
Give y its own side.
4y = 4
Divide by 4.
y = 1
Substitute this back into one of the equations.
x = 1 + 4
x = 5
The point for these 2 equations is (5, 1)
⭐ Answered by Hyperrspace (Ace) ⭐
⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐
⭐ If you have questions, leave a comment, I'm happy to help! ⭐
To solve the equation, isolate and substitute variable 'y' in the first equation with 'x - 4'. This leads us to find 'x = 5'. Substituting 'x' in the first equation gives us 'y = 1'. Therefore the solution is 'x = 5, y = 1'.
Explanation:The subject at hand is an algebra problem involving a system of two equations. First, we can select which variable to isolate. In our case, isolating 'y' in the first equation would be easier than it might seem. That would leave us with 'x = y + 4'.
Next, we can substitute 'y' with 'x - 4' in the second equation, giving us '3x + (x - 4) = 16'. We simplify this equation to '4x = 20'. Solving this gives us 'x = 5'. Lastly, we replace 'x' in the first equation with '5', which gives us the value of 'y = 5 - 4', so 'y = 1'.
The solution to the system of equations 'x = y + 4 and 3x + y = 16' therefore is 'x = 5, y = 1'.
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Marrero is in a hot-air balloon that is 600 feet above the ground, where he can see two people.
b. If the angle of depression from his line of sight to the person at C is 20˚, how far is the person from the point on the ground below the hot-air balloon?
Round your answer to the nearest feet (whole number).
Answer: The distance from the person on the ground to the bottom of the hotair balloon is 1,649 ft
Step-by-step explanation: Please refer to the attached diagram
From the diagram, the hotair balloon is labelled B. If Marero looks down and forms an angle of depression of 20°, that means he is forming an angle of 70° to point C where one of the two persons are standing. Point B is an angle of 70° (point A cuts point B at a perpendicular, that is, 90°)
With these we can now use the trigonometrical ratio of tangent to calculate the distance marked x on the diagram.
Tan B = opposite/adjacent
Tan 70 = x/600
When we cross multiply, we now have
Tan 70 × 600 = x
2.7475 × 600 = x
1648.5 = x
Rounded to the nearest feet
x = 1,649 feet
Final answer:
To determine the distance of the person from the ground point below the hot-air balloon, we use the angle of depression and the tangent trigonometric ratio. The calculation yields approximately 1648 feet when rounded to the nearest whole number.
Explanation:
To solve for the distance of the person at point C from the point on the ground directly below the hot-air balloon, we need to use trigonometric ratios. To find this distance, which we'll call 'd', we'll use the tangent of the angle of depression. The angle of elevation from the person looking up to the hot-air balloon would also be 20° because alternate interior angles created by a transversal intersecting two parallel lines are congruent. The relationship we use is:
tangent of angle = opposite/adjacent
In this case:
tan(20°) = 600/d
To isolate 'd', we take:
d = 600 / tan(20°)
Using a calculator, we find:
d ≈ 600 / 0.3640 ≈ 1648.35 feet
Rounded to the nearest whole number, the person at C is approximately 1648 feet from the point on the ground below the hot-air balloon.
what do i multiply 5/6 by to get 10/12
Answer:
2
Step-by-step explanation:
you get 2 because 5 times 2 equals 10 and 6 times 2 equal 12. so you get 10/12
Step-by-step explanation:
[tex]\frac{5}{6} = \frac{5\times 2}{6\times 2} = \frac{10}{12} \\ \\
[/tex]
Therefore, answer is 2.
Tyler plans to snowboard for 7 days. A daily ticket costs $50, but there is a
discount of $40 off the total if you ski for 7 or more days. If Tyler goes to the
ticket counter with $340, how much change does he get back?
Which of the following sets of equations correctly represents this situation?
Answer:
Step-by-step explanation:
$8.75
Tyler gets $30 in change after buying a 7-day snowboarding ticket with a discount, having gone to the ticket counter with $340.
To calculate the change Tyler gets back, we must first determine the total cost of his 7-day snowboarding trip with the discount.
Tyler plans to snowboard for 7 days. A daily ticket costs $50. Since he is going to snowboard for 7 or more days, he gets a discount of $40 off the total.
Without the discount, the cost for 7 days would be 7 days * $50/day = $350.Applying the discount, the total cost becomes $350 - $40 = $310.Tyler goes to the ticket counter with $340. To find out how much change he gets back, we subtract the total cost from the amount he has:
$340 - $310 = $30
Therefore, Tyler will receive $30 in change.
John, Mark, and Michael completed a total of 25 laps during track practice on Thursday. If John completed a laps,mark completed b laps, and Michael completed c laps, which equation BEST describes the number of laps Michael ran?
Answer:
25-a-b=c or also c=25-a-b
Step-by-step explanation:
We need to get "c" by itself.
The equation for the total amount of laps is a+b+c=25
To get c by itself, we subtract a and b from both sides
Thus, we get c=25-a-b
Hope this helped!
Staci has 90 to buy clothes . She spends 78 at a department store and wants to buy socks that cost 4 per pair. how many pairs of socks can Staci buy?
Answer:
3 pairs
Step-by-step explanation:
After spending 78 out of 90, Staci has 12 left.
12/4 = 3
Answer:
3
Step-by-step explanation:
90-78=12
4x3= 12
12-12= 0
do you times diameter by two to get the radius
No. In fact, you divide it into two.
So let's say the diameter is 10 cm.
To get the radius, you halve it or divide by two.
10 ÷ 2 = 5 cm
The radius of a circle with a 10 cm diameter is 5 cm.
Answer: No
Step-by-step explanation: You have to divide it by two to to have the radius.
1. A line joining the two sides of a circle is called diameter.
2. This line actually divide the circle into halves.
3. The radius of a circle is the length of the circle from the centre position.
5. The radius is half the dimension of diameter.
6. Now we can prove that radius(r) is equal to diameter/2
r=d/2.
what is 4/3 times 3.14 times 8 cubed divided by 2
Answer:
1071.8 to 1 decimal point
Step-by-step explanation:
The first thing you would do is multiply the 4/3, 3.14 and the 8^3
So we know that 8^3 is 8X8X8 which is 512
So the first thing you do I 4/3 X 3.14 X 512 = 160768/75 (2143.6 1DP)
Then you would divide this by 2
2143.6/2 = 1071.8
Helena said that 12 ÷ 1/3 is 4. Draw a model and use words to explain why halina statement is not reasonable.
A submarine lies 3 kilometers from the path of a target ship. The sub’s torpedoes have a range of 5 kilometers. For what distance along its path will the target ship be within range of the torpedoes?
The distance along the path of the ship be within the range of the torpedoes is 4 kilometers.
Explanation:
The submarine lies 3 km from the target ship.
Let B denotes the target ship and C denotes the submarine.
Let AC denotes the the target ship would be within the range of the torpedoes.
The image attached below illustrates that the distance between submarine and the target ship and the range of the torpedoes.
Let BC denotes the distance between the target ship and the submarine. Let AC denotes the range of the torpedoes.
To determine the length of AB, let us use Pythagorean theorem,
[tex]AC^{2} =AB^{2} +BC^{2}[/tex]
Substituting the values of BC = 3 and AC = 5, we have,
[tex]5^{2} =AB^{2} +3^{2}[/tex]
Squaring the terms, we get,
[tex]25 =AB^{2} +9[/tex]
Subtracting both sides by 9, we have,
[tex]16 =AB^{2}[/tex]
Taking square root on both sides,
[tex]AB = 4[/tex]
Thus, the distance along the path of the ship be within the range of the torpedoes is 4 kilometers.
A rectangle has a perimeter of 48 feet the length and width are scale by a factor of 1.5 what is the perimeter of the resulting rectangle
Answer: I believe it is 6
Step-by-step explanation:
The formula of perimeter is
P=2(l+w)
so plug in 1.5 for length and width
P=2(1.5+1.5)
your answer should be 6.
Divide 645 by 3 to get your answer
Answer:
645/3 = 215
Step-by-step explanation:
You can use long division to find the answer.
4.5+16.02 work and answer
Answer: 20.52
Step-by-step explanation:
Answer:20.52
Step-by-step explanation:
A line the decimals on top of each other then add the whole numbers and the numbers outside of the decimal
A local hamburger shop sold a combined total of 402 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold?
Answer:
134
Step-by-step explanation:
They sold 134 hamburgers. The shop sold 268 cheeseburgers. 268 is 2x as much as 134. Divide 402 by 3, and you can find the amount of hamburgers. Times it by 2, and you find the amount of cheeseburgers.
a server brings 9 bread sticks to a table with 4 people. How many bread sticks each persons gets ?
Answer:
2 1/4
Step-by-step explanation:
Each person gets 2 1/4 bread sticks.
9÷4= 2 1/4
Answer:
each person gets
2 1/4 (= 2.25) bread sticks
Step-by-step explanation:
total number of breadsticks = 9
total number of people = 4
assuming everyone gets the same amount of breadsticks
dividing 9 bread sticks by 4 people
= 9/4
= 2 1/4 (= 2.25) bread sticks
A given line has the equation 2x+12y= -1
What is the equation in slope intercept form of the line that is perpendicular to the given line and passes through the point (0,9)
Step-by-step explanation:
Equation of the given line is :
[tex] 2x +12y= - 1\\
\therefore 12y = - 2x - 1\\
\therefore y = \frac {- 2}{12}x - \frac {1}{12}\\
\therefore y = - \frac {1}{6}x - \frac {1}{12}\\[/tex]
Equating above equation with [tex] y= m_1x + c
[/tex] we find:
[tex] m_1 = - \frac{1}{6}[/tex]
Where [tex] m_1[/tex] is the slope of given line:
Let the slope of required line be [tex] m_2.[/tex]
Since lines are perpendicular
[tex] \therefore m_1 \times m_2= - 1\\
\\\therefore - \frac{1}{6} \times m_2= - 1\therefore m_2= 6\\[/tex]
Equation of required line in slope point form is given as:
[tex] y-y_1 =m_2(x-x_1) \\
\therefore y-9 =6(x-0)\\
\therefore y-9 =6x\\
\huge\orange {\boxed {\therefore y =6x+9}} \\[/tex]
Answer: A. Y= -6x+9
Step-by-step explanation:
Write a function (f) that determines the value of the house (in thousands of dollars) in terms of the number of years (t) since Kyle purchased the house
To determine the house's value over time, a function can be created using the initial value and an annual growth rate. Specific details about the growth rate are needed for an accurate function, but a generic formula with a constant rate can still be provided.
Explanation:Creating a Function for House Value Over Time
To write a function that determines the value of a house in thousands of dollars based on the number of years since purchase, we would need additional information about how the house's value appreciates or depreciates over time. This could involve a fixed annual appreciation rate, market trends, renovations, or depreciation.
Without specific data, a generic function can still be proposed, assuming a constant annual percentage increase. Let's call the annual growth rate 'r' (in decimal form) and the original value of the house 'V'. The function would then be:
f(t) = V × (1 + r)^t
For example, if Kyle bought the house at a value of $100,000 (or 100 in thousands of dollars) and the annual growth rate is 3% (or 0.03), the function defining the future value of the house would be:
f(t) = 100 × (1 + 0.03)^t
Using this formula, we can calculate the future value of Kyle's house after any number of years 't'.
The number of potato chips in a bad is normally distributed with a mean of 75 and a standard deviation of 5 approximately what precent of bags contain between 65 and 85 potato chips
Answer:
95%
Step-by-step explanation:
We have that:
The number of potato chips in a bad is normally distributed with a mean of 75 and a standard deviation of 5.
We want to use the empirical rule to solve this:
We know that:
65=75-2(5)
That means
[tex]65 = 75 - 2 \sigma[/tex]
Also, 85=75+2(5)
[tex]85 = 75 + 2 \sigma[/tex]
According to the the empirical rule approximately 95% of the distribution is within 2 standard deviation of the mean