Answer:
Total amount of saving = $212.5
Step-by-step explanation:
Let x be the amount of saving to begin with.
Given:
Maya spent = 40%
Bicycle cost = $85
We need to find the amount of savings Maya began with.
Solution:
From the statement, Maya spent 40% of her savings to pay for a bicycle that costs $85.
So, 40% of total amount = $85
[tex]40\%\times Total\ amount = \$85[/tex]
Substitute [tex]40\% = \frac{40}{100}[/tex] and total amount = x in above equation.
[tex]\frac{40}{100}\ties x = 85[/tex]
Using cross multiplication rule.
[tex]x=\frac{85\times 100}{40}[/tex]
[tex]x=\frac{8500}{40}[/tex]
x = $212.5
Therefore, amount of savings Maya began with (x) = $212.5
Factor each expression (6s + 18t + 3w)
Answer:
3(2s + 6t + w)
Step-by-step explanation:
Since the highest GCF is 3, I divided 6s, 18t, and 3w. This equals to 3(2s + 6t + w)
Answer:
3(2s+6t+w)
Step-by-step explanation:
Can someone help me please
Answer:
43.7 ft
Step-by-step explanation:
Radius of the semicircular garden is 8.5 ft .
Diameter = 8.5 × 2 = 17 ft
Circumference of the garden = [tex]\frac{1}{2}[/tex] × π × diameter = [tex]\frac{1}{2}[/tex] × π × 17 = 26.7 ft (rounded up to the nearest tenth of a foot)
Distance around the gardent = Circumference + diameter = 26.7 ft + 17 ft = 43.7 ft
160 students attended Music Night on Thursday night. The attendance on Friday was 120% of the attendance on Thursday night. The attendance on Saturday night was 75% of the attendance on Friday night. How many people attended Music Night on Friday night? How many people attended on Saturday night? What was the total attendance for the 3 nights?
Answer:
160+192+144=496
Step-by-step explanation:
120% of 160=Friday
75% of (1.2*160)=Sat
160=Thursday
Answer:
160+192+144=496
Step-by-step explanation:
120% of 160=Friday
75% of (1.2*160)=Sat
160=Thursday
Step-by-step explanation:
Select True or false for each statement
Answer:
False
True
False
False
Step-by-step explanation:
1. We have to get the sum as follows :
[tex]3\frac{4}{9} + 4\frac{6}{9}[/tex]
= [tex]\frac{31}{9} + \frac{42}{9}[/tex]
= [tex]\frac{31 + 42}{9}[/tex]
= [tex]\frac{73}{9}[/tex]
= [tex]8\frac{1}{9} \neq 7\frac{1}{9}[/tex]
So, this is false.
2. We have to get the sum as follows :
[tex]4\frac{5}{6} + 1\frac{3}{6}[/tex]
= [tex]\frac{29}{6} + \frac{9}{6}[/tex]
= [tex]\frac{29 + 9}{6}[/tex]
= [tex]\frac{38}{6}[/tex]
= [tex]6\frac{2}{6}[/tex]
So, this is true.
3. We have to get the difference as follows :
[tex]4\frac{5}{8} - 2\frac{4}{8}[/tex]
= [tex]\frac{37}{8} - \frac{20}{8}[/tex]
= [tex]\frac{37 - 20}{8}[/tex]
= [tex]\frac{17}{8}[/tex]
= [tex]2\frac{1}{8} \neq 2\frac{3}{8}[/tex]
So, this is false.
4. We have to get the difference as follows :
[tex]7\frac{5}{8} - 4\frac{2}{8}[/tex]
= [tex]\frac{61}{8} - \frac{34}{8}[/tex]
= [tex]\frac{61 - 34}{8}[/tex]
= [tex]\frac{27}{8}[/tex]
= [tex]3\frac{3}{8} \neq 3[/tex]
So, this is also false. (Answer)
Use the grouping method to factor x3 + x2 + 5x + 5.
A. (x + 1)(x2 + 5)
B. (x2 + 1)(x+5)
C. (x+ 1)(x + 5)
D. x(x + 5)(x + 1)
Answer:
answer is a
Step-by-step explanation:
look at picture
About how many cubic feet greater is the volume
of the Mega Moving Truck than the 2-bedroom
moving truck?
Mega Moving truck is 632.102 cubic feet greater than 2-bedroom moving truck.
Solution:
Volume of the mega moving truck = length × width × height
[tex]$=22 \frac{1}{4}\times7 \frac{7}{12}\times 8 \frac{5}{12}[/tex]
Convert mixed fraction into improper fraction.
[tex]$= \frac{22\times4+1}{4}\times \frac{7\times12+7}{12}\times \frac{8\times12+5}{12}[/tex]
[tex]$= \frac{89}{4}\times \frac{91}{12}\times \frac{101}{12}[/tex]
Volume of the mega moving truck = 1420.137 cubic ft
Volume of the 2-bedroom moving truck = length × width × height
[tex]$=14 \frac{1}{2}\times7 \frac{7}{12}\times 7\frac{1}{6}[/tex]
Convert mixed fraction into improper fraction.
[tex]$= \frac{14\times2+1}{2}\times \frac{7\times12+7}{12}\times \frac{7\times6+1}{6}[/tex]
[tex]$= \frac{29}{2}\times \frac{91}{12}\times \frac{43}{6}[/tex]
Volume of the 2-bedroom moving truck = 788.035 cubic ft
Difference between them = 1420.137 – 788.035
= 632.102 cubic ft
Hence Mega Moving truck is 632.102 cubic feet greater than 2-bedroom moving truck.
Which expression has the same GCF as 15x2 - 21x?
Answer:
12x^2-15x
Step-by-step explanation:
PLATO
The expression 12x²-15x has the same GCF as 15x² - 21x.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 15x²-21x
Let us find GCF of the given expression.
The GCF for a polynomial is the largest monomial that divides (is a factor of) each term of the polynomial
15x²-21x
3x(5x-7)
The GCF of 15x²-21x is 3x.
Now GCF of 18x²-24x, 6x(3x-4) is 6x
GCF of 12x²-15x, 3x(4x-4) is 3x
GCF of 15x²-21, 3(5x²-7) is 3
GCF of 12x²-18x, 6x(2x-3) is 6x
Hence, the expression 12x²-15x has the same GCF as 15x² - 21x.
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5x-3=21-x please someone answer
Answer:
X=4 Hope it helps Lol
Step-by-step explanation:
5*x-3-(21-x)=0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
6x - 24 = 6 • (x - 4)
Equation at the end of step 1 :
Step 2 :
Equations which are never true :
2.1 Solve : 6 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : x-4 = 0
Add 4 to both sides of the equation :
x = 4
One solution was found :
x = 4
Answer:
X=4
Step-by-step explanation:
The first thing you would do is to make it so there is only x's on one side. To do this add the x on both sidesThis would make it so you have 6x-3=21Plus the 3 on both sides This would give you 6x=24Do 24÷6 giving you 4X=4Which of the following expressions is equal to - x^2 - 4 ?
A. (-x-2i)(x+2i)
B. (-x - 2i)(x - 2i)
C. (x+2i)(x-2i)
D. (-x+2i)(x-2i)
Final answer:
The expression equal to [tex]-x^2[/tex] - 4 is formed by multiplying two complex conjugates. Option C: (x+2i)(x-2i) correctly expands to [tex]-x^2[/tex] - 4, since the product of the imaginary parts (2i × -2i) equals -4. The correct option is C: (x+2i)(x-2i).
Explanation:
The expression [tex]-x^2[/tex] - 4 can be created by multiplying two complex numbers that, when multiplied, give a negative real part and a positive imaginary part squared. Using the fact that (i)(i) = -1, we can deduce that the product of complex conjugates will give us the desired expression because the imaginary parts will cancel each other out leaving us with a purely real number.
When we multiply two complex conjugates, the general form is (a+bi)(a-bi) = [tex]a^2 - (bi)^2 = a^2 + b^2[/tex], since [tex](bi)^2[/tex] equates to [tex]-b^2[/tex] because [tex]i^2[/tex] = -1. Applying this to our problem, we are looking for 2 numbers whose square equals 4. Since 2i × -2i = -4, we can construct the two factors as (x+2i) and (x-2i), which corresponds to option C: (x+2i)(x-2i).
what type of function y<3x+5
Answer:
linear inequality (not a function)
Step-by-step explanation:
The given inequality is linear in the variables x and y. It maps x to an infinite number of possible values for y, so the relation is not a function.
H E L P ME OUT
According to the figure above the atmospheric pressure at an altitude of 22 kilometers is about:
Answer:
300mb
Step-by-step explanation:
We can read the atmospheric pressure at an altitude of 22 kilometers can be read by tracing directly from the graph.
22 kilometers is half way between 20 kilometers and 24 kilometers on the vertical axis.
The reading is shown in the attachment.
From the reading the atmospheric pressure is about 300mb
The correct answer is A
How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?
Answer:
The sign of [tex]x[/tex] in [tex]g(x)[/tex] is opposite or negated. This is the only difference between [tex]f(x)[/tex] and [tex]g(x)[/tex], meaning it is a reflection through the y-axis.
Therefore, [tex]g(x)[/tex] will be the reflection of [tex]f(x)[/tex] through the y-axis.
Step-by-step explanation:
Considering the functions
f(x) = 0.7(6)xg(x) = 0.7(6)–xWe know that when we reflect a function through the y-axis, the x-coordinate gets opposite - negated.
Here, the sign of [tex]x[/tex] in [tex]g(x)[/tex] is opposite or negated. This is the only difference between [tex]f(x)[/tex] and [tex]g(x)[/tex], meaning it is a reflection through the y-axis.
Therefore, [tex]g(x)[/tex] will be the reflection of [tex]f(x)[/tex] through the y-axis.
Answer:
The sign of in is opposite or negated. This is the only difference between and , meaning it is a reflection through the y-axis.
Therefore, will be the reflection of through the y-axis.
Step-by-step explanation:
Considering the functions
f(x) = 0.7(6)x
g(x) = 0.7(6)–x
We know that when we reflect a function through the y-axis, the x-coordinate gets opposite - negated.
Here, the sign of in is opposite or negated. This is the only difference between and , meaning it is a reflection through the y-axis.
Therefore, will be the reflection of through the y-axis.
if 1/5 of the remaining blueberries is used to make muffins, how many pounds of blueberries are left in the container
To calculate the remaining blueberries after using 1/5 for muffins, subtract 1/5 from the total, leaving you with 4/5 of the original amount in pounds.
Explanation:To determine how many pounds of blueberries are left after using 1/5 of them to make muffins, we need to perform a subtraction based on the fraction used. Let's assume we start with a certain quantity 'X' pounds of blueberries. After using 1/5 of them, we have 4/5 of 'X' pounds left because we subtract the 1/5 that was used for muffins from the original amount. It's important to convert any measurement units if they are not consistent, as seen when comparing pounds and ounces for other items like yogurt or apples.
The remaining amount of blueberries in the container is [tex]\( \frac{4}{5} \)[/tex] of the initial amount.
To determine how many pounds of blueberries are left in the container, we need to set up the problem and solve it step-by-step.
Let's denote the initial amount of blueberries as [tex]\( x \)[/tex] pounds.
1. Define the amount used for muffins:
If [tex]\( \frac{1}{5} \)[/tex] of the remaining blueberries is used to make muffins, it means that [tex]\( \frac{1}{5} \)[/tex] of the total blueberries is used.
Therefore, the amount of blueberries used for muffins is [tex]\( \frac{1}{5} x \)[/tex].
2. Calculate the remaining blueberries:
The remaining blueberries will be the total amount minus the amount used for muffins.
Thus, the remaining blueberries are:
[tex]\[ x - \frac{1}{5} x \][/tex]
3. Simplify the expression:
[tex]\[ x - \frac{1}{5} x = \frac{5}{5} x - \frac{1}{5} x = \frac{4}{5} x \][/tex]
Elena wrote the equation 5x=25. She wants to multiply 25 by 5 to solve it does this make sense
Answer:
It certainly doesn't make sense. Her equation means
5 times some number is 25.
hope it helps!
What are the vertex and x-intercepts of the graph of y = (x + 4)(x + 2)? Select
one answer for the vertex and one for the x-intercepts.
O
A. x-intercepts: (4,0), (-2, 0)
O
B. Vertex: (1,3)
O
c. x-intercepts: (-4,0), (-2,0)
O
D. Vertex: (-3,1)
E. Vertex: (-3,-1)
O
F. xintercepts: (-4,0), (2, 0)
Answer:
C. x-intercepts: (-4,0), (-2,0)
E. Vertex: (-3,-1)
Step-by-step explanation:
Part 1) Find the x-intercepts
we have
[tex]y=(x+4)(x+2)[/tex]
This is a vertical parabola written in factored form
[tex]y=(x-x_1)(x-x_2)[/tex]
where
x_1 and X_2 are the roots or x-intercepts
so
[tex]x_1=-4\\x_2=-2[/tex]
Remember that the x-intercepts are the values of x when the value of y is equal to zero
therefore
The x-intercepts are
(-4,0) and (-2,0)
Part 2) Find the vertex
we have
[tex]y=(x+4)(x+2)[/tex]
This is a vertical parabola open upward (the leading coefficient is positive)
The vertex is a minimum
Applying distributive property
[tex]y=x^2+2x+4x+8\\y=x^2+6x+8[/tex]
Convert to vertex form
Complete the square. Remember to balance the equation by adding the same constants to each side.
[tex]y=(x^2+6x+3^2)+8-3^2[/tex]
[tex]y=(x^2+6x+9)-1[/tex]
Rewrite as perfect squares
[tex]y=(x+3)^2-1[/tex] ----> equation in vertex form
[tex]y=(x-h))^2+k[/tex]
where
(h,k) is the vertex
therefore
The vertex is the point (-3,-1)
Answer:
Vertex: (-3,-1) X intercepts: (-4,0), (-2,0)
Step-by-step explanation:
A P E X ;)
Pls help!!
y = x + 2
2x - y = -4
Solve the system of equations using substitution.
A) (-2,-4)
B) (-2,0)
C) (-6,-4)
D) (-6,8)
E) (0,-2)
Answer:
B (-2, 0)
Step-by-step explanation:
put the first equation in for y in the second equation - watch the negative
2x - (x +2) = -4
2x - x -2 = -4
x = -2
plug this x back in to find y
y = -2 + 2 = 0
Answer:
B
Step-by-step explanation:
plug in the answers given into both equations to see if the statements true
y=x+2
0=(-2)+2
0=0
2x-y=-4
y=2x+4
0=2(-2)+4
0=0
Rewrite 5a-(a-3b) in standard form.
Answer:
NOTE: Standard form is Ax+By=C
Distribute -1
5a -a +3b
Rewrite
5a +3b = -a
Multiply every term by -1 so -a will be positive
-5a -3b = a
PLEASE HELP ASAP Which equation BEST models the data shown in the scatterplot below?
A. y=3x+10
B. y=3x+60
C. y=4x+5
D. y=4x+35
Answer:
Option D. y=4x+35
Step-by-step explanation:
From the graph take the points (5,50) and (50,250)
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values
[tex]m=\frac{250-50}{50-5}[/tex]
[tex]m=\frac{200}{45}=4.4[/tex]
Find the equation of the line in slope intercept form
[tex]y=mx+b[/tex]
we have
[tex]m=4.4\\point\ (5,50)[/tex]
substitute
[tex]50=4.4(5)+b[/tex]
solve for b
[tex]b=50-22\\b=28[/tex]
substitute
[tex]y=4.4x+28[/tex]
therefore
The equation that BEST models the data is
[tex]y=4x+35[/tex]
Solve the equation . 3(x+4.5)=36
How would you graph the solution set of {x}{6}≤ -18?
closed circle on -3 and shaded to the right
closed circle on -3 and shaded to the left
closed circle on -108 and shaded to the right
closed circle on -108 and shaded to the left
Answer:
Step-by-step explanation:
6x ≤ -18.....divide both sides by 6
x ≤ -18 / 6
x ≤ -3
ok...so ur gonna have a closed circle because the inequality contains an equal sign......ur gonna put that closed circle on -3 and shading will go to the left because it is less then
closed circle on -3, shaded to the left <==
Answer:
closed circle on -3 and shaded to the left
Hope it Helped <3
Select the correct answer.
What is the justification for step 3 in the solution process?
10d − 5 = 4d − 15 − 3d
Step 1: 10d − 5 = d − 15
Step 2: 9d − 5 = -15
Step 3: 9d = -10
A.
the subtraction property of equality
B.
the multiplication property of equality
C.
the division property of equality
D.
the addition property of equality
Answer:
D.
the addition property of equality
Step-by-step explanation:
Given the expression in
Step 2: 9d - 5 = -15
The addition property of equality was used to get step 3.
That is
9d - 5 = -15
Move -5 over the equality sign and it becomes +5
9d = -15 + 5
9d = -10
OR add 5 to both sides of the equation as shown below
9d - 5 +5 = -15 + 5
9d = -10 which we have in step 3
The justification for step 3 is the subtraction property of equality, which allows us to subtract the same number from both sides of an equation to maintain its balance.
Explanation:The correct answer is A: the subtraction property of equality.
Here is why: In the step before (step 2), we have 9d - 5 = -15. When we move to step 3, we're solving 9d = -10 which means we added 5 to both sides of the equation. By doing so, we subtract 5 from the left side to get 9d and add 5 to -15 on the right side to get -10. This action is consistent with the subtraction property of equality, which states that you can subtract the same number from both sides of an equation and the equation will still hold true.
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A box has dimensions of 17inches long , 1.3 feet wide , and 8 inches high . What is the volume of the box?
Answer:
2121.6 cubic inch
Step-by-step explanation:
Length of the box = 17 inches
Width of the box = 1.3 feet = 1.3 * 12 inches = 15.6 inches
Height of the box = 8 inches
Volume of the box is given by the product of its length , width and height.
Hence, Volume = {tex]\[length * width * height\][/tex]
= [tex]\[17 * 15.6 * 8\][/tex]
= 2121.6
Hence the volume of the box is 2121.6 cubic inch
This can also be expressed in cubic feet by dividing it by 1728.
In cubic feet the volume will be 1.23 cubic ft.
What is the graph for the above relationship?
A. 1st Graph
B. 2nd Graph
C. 3rd Graph
D. 4th Graph
Solve:
(12 − 4) − (6 ÷ 2) − (2 x 2) =
Answer:
1
Step-by-step explanation:
(12 - 4) - (6 / 2) - (2 * 2)
(8) - (3) - (4)
1
Answer:
1
Step-by-step explanation:
go to google calculator
7. Bobby buys 10 pounds seafood for $30. It
contains shrimp that sells for $5 per pound and
crawfish that sells $1 a pound. How many of each
kind were purchased in the mixture?
Answer:
5 pounds of shrimp and 5 pounds of crawfish were purchased in the mixture.
Step-by-step explanation:
We are given the following in the question:
Bobby buys 10 pounds seafood for $30.
Let x pounds of shrimp be purchased and y pounds of crawfish.
Thus, we can write,
[tex]x + y =10[/tex]
Cost of shrimp = $5 per pound
Cost of crawfish = $1 per pound
Total money spent = $30
Thus, we can write the equation,
[tex]5x + y = 30[/tex]
Solving the two equation by elimination method,
[tex]5x + y-(x+y) = 30-10\\4x = 20\\x = 5\\y = 10 - x = 10 - 5 = 5[/tex]
Thus, 5 pounds of shrimp and 5 pounds of crawfish were purchased in the mixture.
What is the C of a circle that has a radius of 4.5
Step-by-step explanation:
[tex]C = 2\pi \: r \\ = 2 \times 3.14 \times 4.5 \\ = 3.14 \times 9 \\ =28.26 \: units[/tex]
please solve 1/4w+5=w/3+10
Answer:
-60
Step-by-step explanation:
1/4w + 5 = w/3 + 10
Collect like terms
1/4 w - 1/3 w = 10 - 5
Find lcm of 4 &3 = 12 and subtract
-1/12 w = 5
Multiply both sides by 12
-w = 5 x 12
-.w = 60
Divide both sides by -1
w = -60
I hope this was helpful, Please mark as brainliest
What is the equation of a circle with center (-7, -3) and radius 2?
Answer:
B = (x + 7)^2 + (y +3)^2 = 4
Step-by-step explanation:
The equation of a circle with center (-7, -3) and radius 2 is (x + 7)² + (y + 3)² = 4.
Explanation:The equation of a circle with a center at point (-7, -3) and a radius of 2 can be written based on the standard form of the circle equation (x - h)² + (y - k)² = r², where (h,k) is the center of the circle and r is the radius.
Plugging in the values given in the question, the equation simplifies to: (x + 7)² + (y + 3)² = 4.
maggie weighs 105 lbs for her height and weight it is recommended that she be at least 120 lbs. and no more than 160 lbs. if she wanted to be in the middle of the healthy range how much weight should she gain?
Answer:
35 lbs
Step-by-step explanation:
because 160-120=40-5=35. sorry if wrong
Maggie wants to the middle of the healthy range weight 130lbs should she gain.
Given that,
Maggie weighs for her height = 105lbs
Recommended weight = 120lbs
Limit for weighs not more than = 160lbs
We have to find ;
If she wanted to be in the middle of the healthy range how much weight should she gain.
According to the question,
If she wanted to be in the middle of the healthy range = Limit for weighs not more than - Recommended weight
= 160lbs - 120lbs
= 40lbs
Then,
Recommended weight - limit for weighs not more than
= 120lbs - 105lbs
= 15lbs
Difference between the weight = 40-15 = 25lbs
Therefore ,
Maggie weighs for her height + Difference between the weight = 105lbs + 25lbs = 130lbs
Hence , Maggie wants to the middle of the healthy range weight 130lbs should she gain.
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Find the first four terms of the arithmetic sequence when a1 =3 and d=2
A. 2,5,8,11
B. 3,5,7,9
C.1,3,5,7
D.3,6,12,24
Answer:
b.
Step-by-step explanation: