ABCD is a parallelogram. What are the measures of angles B and C? b=(3n+20) D= (6n-25)

Answers

Answer 1

Answer:

B = 65

C = 115

Step-by-step explanation:

Givens

ABCD is a parallelogram

It is lettered in such a way that B is opposite D

B = 3n+20

D = 6n-25

Solution

<B = <D                      Property of Parallelogram

3n + 20 = 6n - 25      Add 25 to both sides

3n + 20 + 25 = 6n      Combine

3n +45 = 6n                Subtract 3n from both sides

3n +45 = 6n-3n           Combine

45 = 3n                        Divide by 3

45/3=3n/3                    

n = 15                            Value of n    

B = 3n + 20                  Find B. Let n = 15

B= 3*15+20                   Combine

B = 45 + 20                 Combine

B = 65                                

==================

B and C are supplementary. They add up to 180

B + C = 180

65 + C = 180

C = 180-65

C = 115


Related Questions

Please help
WILL MARK BRAINLYIST

Answers

Answer:   (4,-5) is the answer

Look at the first image below for the known points...

Since this is a rectangle the missing point must align underneath the point (4, -3). This means that the missing point will need to have an x value of 4

The missing point must also align to the right to the point (-2, -5). This means that the missing point will need to have a y value of -5

This makes the missing point...

(4, -5)

Hope this helped!

~Just a girl in love with Shawn Mendes

What is 8a-16=40
I can’t figure it out and I’m in 9th grade

Answers

Hello!

Answer:

[tex]\boxed{A=7}\checkmark[/tex]

The answer should have a positive sign.

Step-by-step explanation:

First, you add by 16 from both sides of an equation.

[tex]8a-16+16=40+16[/tex]

Then, simplify.

[tex]40+16=56[/tex]

[tex]8a=56[/tex]

Therefore, divide by 8 from both sides of an equation.

[tex]\frac{8a}{8}=\frac{56}{8}[/tex]

Finally, you simplify and solve to find the answer.

[tex]56\div 8 =7[/tex]

[tex]\boxed{x=7}[/tex], which is our correct answer.

I hope this helps you!

Have a great day! :)

-Charlie

To solve for a you must isolate it, meaning that a must be the only thing on the left side of the equation.

To do this first add 16 to both sides (what you do on one side you must do to the other). Since 16 is being subtracted, addition (the opposite of subtraction) will cancel it out (make it zero) from the left side and bring it over to the right side.

8a + (- 16 + 16) = 40 + 16

8a + 0 = 56

8a = 56

Next divide 8 to both sides to finish isolating a. Since 8 is being multiplied by a, division (the opposite of multiplication) will cancel 8 out (in this case it will make 8 one) from the left side and bring it over to the right side.

8a/8 = 56/8

1a = 7

a = 7

Check:

8(7) - 16 = 40

56 - 16 = 40

40 = 40

Hope this helped!

~Just a girl in love with Shawn Mendes

Please answer now!! (Math)

Answers

Answer:

2nd option

Step-by-step explanation:

Simplify first what is in the parenthesis before distributing the exponent outside would help.

Remember that negative exponents simply means that their on the wrong side of the fraction. So if you find a variable with a negative exponent as a numerator, you bring them down and when it is found as a denominator, you bring them up.

Also when you distribute your exponents, you always multiply it to each exponent inside the parenthesis.

Look at the attached picture for the solution

Answer:

[tex] \frac { 1 } { x ^ 2 1 y ^ { 1 2 } }[/tex]

Step-by-step explanation:

We are given the following expression and we are to simplify it:

[tex] [ \frac { ( x ^ { - 3 } ) ( y ^ 2 ) } { ( x ^ 4 ) ( y ^ 6 ) } ] ^ 3[/tex]

[tex]\frac{x^{-3\times 3}.y^{2\times 3}}{x^{4\times 3}.y^{6\times3} }[/tex]

[tex]\frac{x^{-9}y^6}{x^{12}y^{18}}[/tex]

[tex]x^{-9-12}.y^{6-12}[/tex]

[tex]x^-21.y^{-12}[/tex]

This can also be written as:

[tex]\frac{1}{x^21y^{12}}[/tex]

Find the equation in slope-intercept form of a line with slope –2 and y-intercept 4.

Answers

[tex]\bf y=\stackrel{\stackrel{m}{\downarrow }}{-2}x+\stackrel{\stackrel{y}{\downarrow }}{4}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

The equation of the line in slope-intercept form of a line with slope –2 and y-intercept 4 is y = -2x + 4.

What is the slope?

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}m=(y₂-y₁) / (x₂-x₁)[/tex]

It is given that:

A line with slope –2 and y-intercept 4.

The linear equation in one variable can be made:

As we know,

The standard equation of the line is:

y = mx + c

Here m is the slope and c is the y-intercept.

m = -2

c = 4

y = -2x + 4

Thus, the equation of the line in slope-intercept form of a line with slope –2 and y-intercept 4 is y = -2x + 4.

Learn more about the slope here:

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The bedroom is 17 feet long by 18 feet wide, and the ceiling is 9 feet high.
The inside of the bedroom door will be painted the same color as the walls. Two coats of paint will be applied to all of the painted surfaces.
The room has one window, measuring 3 feet, 9 inches by 4 feet, which will not be painted.

List the facts that you know. First, find the room dimensions in feet that make a good model for this situation. One strategy would be to sketch the room as follows. Please use this model to complete the following table below.

Answers

Answer: 615 ft²

Step-by-step explanation:

There are 4 walls - assume that the floor and ceiling are not being painted.

2 walls are 17 ft by 9 ft ⇒ 2(17)(9) = 306 ft²

The other 2 walls are 18 ft by 9 ft ⇒ 2(18)(9) = 324 ft²

1 window is 3.75 ft by 4 ft ⇒ 1(3.75)(4) = 15 ft²

2 walls + other 2 walls - 1 window ⇒ 306 + 324 - 15 = 615 ft²

Answer:

The total area that must be paintedis 615ft^2

Step-by-step explanation:

Here we need to calculate the total surface of the room that will be painted, this would be:

The 4 inner walls.

Minus the area of the window, that will not be painted.

I also assume that the floor and the ceiling will not be painted.

the dimensions of the room are:

17 feet long.

18 feet wide.

9 feet high.

So we will have:

two walls of 17 feet by 9 feet.

two walls of 18 feet by 9 feet.

Then the total surface of the walls is:

S = 2*(17ft*9ft) + 2*(18ft*9ft) = 630 ft^2

And the window is 3 feet 9 inches bt 4 feet.

first, we have that 1 feet = 12 inches.

then 9 inches is equivalent to:

9/12 feet = 0.75 feet.

So the area of the window is:

W = 3.75ft*4ft = 15ft^2

the difference is:

A = 630ft^2 - 15ft^2 = 615ft^2

Find the roots of (x+2)(x-7)=0

Answers

Answer:

x = -2 or x = 7

Step-by-step explanation:

x - 7 = 0 or x + 2 = 0

x = 7 or x = - 2

Answer:

  the roots are x = -2, +7

Step-by-step explanation:

The roots are the values of x that make one of the factors be zero. Whenever a factor is zero, the product is zero.

To make x+2 = 0, x = -2.

To make x-7 = 0, x = 7.

In the figure angle ZYX is measured in degrees The area of the shaded sector can be determined using formula m

Answers

Answer:

A sector is a portion of a circle, it is the area between to radii and the connecting arc. Imagining a circle as a cake, a sector would be equivalent to a slice of cake. Therefore the formula for the area of a sector is equivalent to the total area of the circle multiplied by the angle proportion of the sector. Where, angle proportion of the sector = angle of sector / total angle of circle (360 degree) With this, the correct answer is: "The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector."

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer: Option A

The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

Find the value of Z.
A)7
B)9
C)11
D)12

Answers

As per the isosceles triangle theorem, if the two base angles are congruent then the legs are also congruent, so we must set the two legs equal to each other:

2z - 15 = 9

Add 15 to both sides:

15 - 15 = 0
15 + 9 = 24

Divide 2 from each side:

2z = 24

2z/2 = z

24/2 = 12

z = 12

Hence, the answer would be D: z = 12

[tex]2z-15=9\\2z=24\\z=12[/tex]

the graph of f(x)=|x| is transformed to g(x)=|x+1|-7 on which interval is the function decreasing​

Answers

Answer:

(-infinity, -1)

Step-by-step explanation:

If you draw it, it should be easy to see. The vertex is (-1,-7).

There has been no reflection meaning the absolute function is open like the parent is.  

So the absolute value function is decreasing on (-inf,-1)

And increasing on (-1,inf)

The interval in which the funciton g(x) = |x + 1| - 7 decreasing is (-∞,-1).

What is the transformation of a graph?

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

Reflection is a mirror image of a graph about any axis.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given function,

f(x) = |x|

The plot of this has been graphed below,

Now,g(x) |x + 1| - 7

Since x → x + 1 thus the function has shifted left -1 and 7 units down.

So, the interval at which it is decreasing is (-∞,-1).

Hence "The interval in which the funciton g(x) = |x + 1| - 7 decreasing is (-∞,-1)".

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What is the slope of the line that contains the point(-1,-2) and(4,3

Answers

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, - 2) and (x₂, y₂ ) = (4, 3)

m = [tex]\frac{3+2}{4+1}[/tex] = [tex]\frac{5}{5}[/tex] = 1

the slope of the line containing (-1,-2) and (4,3) would be 1/1 with a y-intercept of -1

Given that the f(y) = y - 1 and g(y) = y^3 - 2y - 1, find (gof) (y)I and hence, (gof) (-6).

Answers

[tex](g \circ f)(y)=(y-1)^3-2(y-1)-1\\(g \circ f)(y)=y^3 - 3 y^2 + 3 y - 1-2y+2-1\\(g \circ f)(y)=y^3 - 3 y^2 +y\\\\(g \circ f)(-6)=(-6)^3-3\cdot(-6)^2+(-6)\\(g \circ f)(-6)=-216-108-6\\(g \circ f)(-6)=-330[/tex]

the park is 6 miles due west of your house, and the library is 11 miles north of your house. How far is the shortest distance from the park to the library? Round to the nearest half mile.

Answers

Answer:

Step-by-step explanation:

Given that the park is 6 miles due west of your house, and the library is 11 miles north of your house.

Thus the park and library forms the legs of a right triangle with shortest distance being the hypotenuse (provided there are no buildings in between)

We can use pythagoren theorem to find the shortest distance i.e. hypotenuse.

Shortest distance^2 =[tex]\sqrt{6^2+11^2} =\sqrt{197}[/tex]

We find that square root is 14.03

Thus shortest distance is 14 miles.

The shortest distance from the park to the library is 12.53 miles.

Distance

It is the measure of the length between the two points. It is a scalar quantity.

Right-angle triangle

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given

The park is 6 miles due west from your house.

And the library is 11 miles north of your house.

To find

The shortest distance from the park to the library.

How to get the shortest distance from the park to the library?

Perpendicular P = 11

Bas B = 6

We know the Pythagoras theorem.

H² = P² + B²

H² = 11² + 6²

H² = 121 + 36

H² = 157

H = 12.53

Thus, The shortest distance from the park to the library is 12.53 miles.

More about the distance link is given below.

https://brainly.com/question/989117

what is the equation of a line that contains the points (2,-2) and (0,-2)
A. y=0
B. x=-2
C. y=-2
D.x=O​

Answers

Answer:

C

Step-by-step explanation:

By observation, and inspecting the 2 given points closely, we can immediately see that both points have  y = -2 as common y-ordinates .

This means that the horizontal  line y =-2 joins these 2 points.

Answer C is correct.

Answer:

C

Step-by-step explanation:

use slope formula and slope-intercept form Y=mx=b

Type the correct answer in the box. Round your answer to the nearest hundredth. A class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an A on the test, and 35% of the class are girls and scored an A on the test. If a student is chosen at random and is found to be a girl, the probability that the student scored an A is .

Answers

the probability is 7/9

The probability that a student is a girl given that they scored an A on the test is 0.54.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

We can use Bayes' theorem to find the probability that a randomly chosen girl scored an A on the test.

Let's define the following events:

A = student scored an A on the test

G = student is a girl

We want to find P(A|G), the probability that a randomly chosen girl scored an A on the test.

First, we can use the law of total probability to find the probability that a randomly chosen student scored an A:

P(A) = P(A|B) x P(B) + P(A|G) x P(G)

where B represents the event that a student is a boy.

From the problem statement, we know that 55% of the class are boys and 45% are girls, so:

P(B) = 0.55

P(G) = 0.45

We also know that 25% of the boys and 35% of the girls scored an A on the test, so:

P(A|B) = 0.25

P(A|G) = 0.35

Plugging in these values, we get:

P(A) = (0.25)(0.55) + (0.35)(0.45) = 0.29

Next, we can use Bayes' theorem to find P(A|G):

P(A|G) = P(G|A) x P(A) / P(G)

where P(G|A) is the probability that a student is a girl given that they scored an A on the test. This is what we want to find.

To find P(G|A), we can use the formula:

P(G|A) = P(A|G) x P(G) / P(A)

Plugging in the values we know, we get:

P(G|A) = (0.35)(0.45) / 0.29 = 0.54

Rounding to the nearest hundredth, we get:

P(A|G) ≈ 0.54.

Thus,

The probability that a student is a girl given that they scored an A on the test is 0.54.

Learn more about probability here:

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Answer this question thanks

Answers

for this question, it ask you to draw out.

j + 6 ≥ 7

j ≥ 7 - 6

j ≥ 1

How to draw it:

1. draw a Solid point on the number"1".

2. draw a small vertical line on the top of the point.

3. draw a long horizontal line to number "1" 's right side, and add an arrow in the end of the line.

First bring 6 to the right side by subtracting 6 to both sides (what you do on one side you must do to the other). Since 6 is being added on the left side, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.

j + 6  ≥  7

j + 6 - 6  ≥  7 - 6

j + 0  ≥  1

j  ≥  1

For the graph will you have a empty or colored in circle?

If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.

If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.

Which direction will the ray go?

If the variable is LESS then the number then the arrow will go to the left of the circle.

If the variable is MORE then the number then the arrow will go to the right of the circle.

In this case your inequality is:

j  ≥ 1  

aka j is greater then or equal to one

This means that the graph will have an colored circle and the arrow will go to the right of 1. (look at the image below)

Hope this helped!

~Just a girl in love with Shawn Mendes

Is 1 half equal to 0.50

Answers

yes, when you have four quarters it’s one dollar and if you have two of them which makes up half of a dollar it’s 50

Sorry I’m really behind

Answers

The answer will be 238,900 miles.

If you round off 238, 854 to the nearest hundreds, you get

238,900 in miles.

Hope this helps!!!

Mark Brainliest!!!

Find one value of x that is a solution to the equation:
(3x - 1)2 + 12x – 4= 0

Answers

Answer:

⅓, -1⃣ = x

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Find g(1) if g(x) = x2 +1.
A.2
B.3
C.4
لا​

Answers

Answer:

A

Step-by-step explanation:

To evaluate g(1) substitute x = 1 into g(x), that is

g(1) = 1² + 1 = 1 + 1 = 2 → A

how to graph 3 ordered pairs

Answers

Answer: I'm assuming you just need to graph each ordered pair without doing anything else to them. The first number in the ordered pair is called the x-intercept, the second number is the y-intercept. To graph an ordered pair you need to count the x-intercept number and go to that number on the x-axis (horizontal), do the same for the y-intercept on the y-axis (vertical) and make a point/dot. Repeat this for the other two ordered pairs.

Answer,

Determine the x-intercept and y-intercept and plot on the graph.

Explanation,

If you already have your three ordered pairs simply start off by determining the x and y intercepts. After you have done this you can plot the x intercept on the x-axis and the y intercept on the y-axis. Repeat for the other two as well.

Here is an example, (5,7)

Our x intercept is (5) and our y intercept is (7).  

You should have a graph that looks somewhat like the first picture.

Then you will find where the (5) goes which is on the x-axis. (The x-axis is the horizontal line)

Then you will find where the (7) goes which is on the y-axis. (The y-axis is the vertical line.)

The second picture shows the plotted graph.

Which of the following is the rule for the geometric
sequence 1, 3, 9, 27, ...?

Answers

Answer:

Multiply by three for every number 1*3 =3 3*3=9 9*3=27

Step-by-step explanation:

Common ratio of the geometric sequence is 3.

What is a geometric sequence?

A geometric sequence is a sequence in which the ratio of two consecutive terms is a fixed ratio.

Given,

Geometric sequence: 1, 3, 9, 27

The ratio of second and first term = 3/1

                                                        = 3

Similarly, the ratio of third and second term = 9/3

                                                                         = 3

Hence, the common ratio of the geometric sequence is 3.

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PLEASE HELP: Choose the function whose graph is given by:

Answers

Answer:

The function of the graph is y = 3 cos (4x) ⇒ answer A

Step-by-step explanation:

- If the equation is y = A cos (B x)  

* A is the amplitude  

- The amplitude is the height from highest to lowest points and  

  divide the answer by 2  

* The period is 2π/B  

- The period is the distance from one peak to the next peak

* Lets look to the graph

- The maximum value is 3 and the minimum value is -3

∵ The height from the maximum point to the minimum point is

   3 - (-3) = 3 + 3 = 6

∴ The amplitude is 6/2 = 3

∵ A is the amplitude

∴ A = 3

- The distance between two consecutive peaks is π/2

∵ The period is the distance from one peak to the next peak

∴ The period = π/2

∵ The period = 2π/B

∴ 2π/B = π/2 ⇒ divide both sides by π

∴ 2/B = 1/2 ⇒ by using cross multiplication

∴ B = 4

- Lets write the form of the function

∵ y = A cos (Bx)

∵ A = 3 and B = 4

∴ y = 3 cos (4x)

* The function of the graph is y = 3 cos (4x)

Is the expression 2f + 4f + 2 – 3 equivalent to 6f – 1?



6f – 1 evaluated at f = 9 is 53.

2f + 4f + 2 – 3 evaluated at f = 9 is also 53.



6f – 1 evaluated at f = 3 is 17.

What is 2f + 4f + 2 – 3 evaluated at f = 3?

iv been stuck for 10 min now

Answers

6f-1 and 2f+ 4f +2-3 are equal. 2f +4f+2-3 is 17 at f=3 because

(2•3)+(4•3)+(2-3) =

(6+12)+(-1) =

(18)+(-1)=

17
Plug in what f equals for f in the equation and evaluate
I hope this helps.

Answer:

Yes it is equivalent.

Step-by-step explanation:

In this case the only thing that you have to do to know if the two expressions are equivalent are put them on opposite sides of the equation like this:

6f-1= 2f+4f+2-3

When you simplify this you´ll end up with the next equation:

6f-1= 6f -1

In this case you can see that both expressions are equivalent because they are the same once you put them on opposite sides of the equation.

What is 8 percent of 33.52

Answers

8 percent of 33.52 is 2.6816 or just 2.7

Answer:

W =2.6816

Step-by-step explanation:

Is means equals and of means multiply

W = 8% * 33.52

Change to decimal form

W = .08 * 33.52

W =2.6816

The price of a share of one stock fell from $8.75 to $8.54. Find the percent decrease. Round your answer to the nearest tenth of a percent.

Answers

8.54 / 8.75 =0.975

1 - 0.975 = 0.025

0.025 x 100% ( and nearest thenth)

=2.5%

Answer:

2.4%.

Step-by-step explanation:

Consider the formula for percentage change (Mathisfun)

[tex]\displaystyle \rm \text{Percentage Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}}\times 100\%[/tex].

Note that the old value shall be the one on the denominator.

For this question:

[tex]\displaystyle \rm \begin{aligned}\text{Percentage Change} &= \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}}\times 100\%\\ &= \frac{8.75 - 8.54}{8.75}\times 100\%\\&= -2.4\%\end{aligned}[/tex].

The value here is negative, but don't be alerted. A positive value of change indicates an increase, while a negative value of change indicates a decrease. In other words, the stock price dropped by 2.4%.

The school band sold T-shirts to raise money for an upcoming trip. The band sold 400 T-shirts on Saturday. On Sunday, it will sell 30 percent of that amount. Which statements are true about the number of T-shirts that the band will sell on Sunday?
Check all that apply.
A)The answer will be less than 400 because 30 is less than 100.
B)The answer will be greater than 400 because 30 percent is greater than 100.
C)(100)(4) = 400, so 30(4) is the number of T-shirts the band will sell on Sunday.
D)400 + 30 is the number of T-shirts the band will sell on Sunday.
E)The band will sell 430 T-shirts on Sunday.
F)The band will sell 120 T-shirts on Sunday.

multi choice question plz help

Answers

hello!

Answer:
A. The answer will be less than 400 because 30 is less than 100.
C. (100)(4) = 400, so 30(4) is the number of T-shirts the band will sell on Sunday.
F. The band will sell 120 T-shirts on Sunday.
Step-by-step explanation:
A. Its true that if 30 is less than 100 then the shirts will be lesser than 400 because suppose it was 100 instead of 30 then 100/100 * 400 = 400 and as we know 400 is not lesser than 400 so the statement is true that answer will be lesser than 40 as 30 is lesser than 100
C. This statement is also true because 30(4) is the number of thirts
F.If the band is going to sell 30% of the tshirts of the amount of tshirts sold on saturday then they sold 30% of 400
30/100*400 = 30*4
                    = 120

Answer:

The answer is A. C, and F i took a test and i got it right on edgnuity sis  hope this helps

The table shows the number of pools sold by the Allied Pool company over a six month period.
Allied Pool Sales
Month
Number of
Pools Sold
Feb.
11
Mar.
10
Apr.
12
May
16
June
15
July
18


According to the above table, what was the average number of pools sold per month during this period? Round to the nearest tenth if necessary.

14.6 pools

13.5 pools

13.7 pools

8 pools

Answers

13.7 pools I believe

Answer

Average/Mean: 13.7 pools

Step-by-step explanation:

When asked to find the average number of anything, you are trying to find the mean.

The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers.  

To calculate it:  

• add up all the numbers,  

• then divide by how many numbers there are.

Add -3/x + 7y/x .

please

Answers

Answer:

7y - 3 / x  

Step-by-step explanation:

So , first you have to Simplify y/x

 ( 0 -  3/x ) +  ( 7   •    y/x )

Then simplify 3/x

 ( 0 -  3/x )  +  7y/x

Then add the fractions which have a common denominator

(Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible)

-3 + 7y/x  =  7y - 3/x  

you'll get your answer as : 7y-3 / x                        

Answer:

[tex]\frac{7y-3}{x}[/tex]

Step-by-step explanation:

Since the fractions have a common denominator of x, combine them by adding the numerators and leaving the denominator, that is

[tex]\frac{-3+7y}{x}[/tex] = [tex]\frac{7y-3}{x}[/tex]

Manny worked as a produce manager for
Harris Teeter. If 32 out of 50 customers
purchased bananas, what percent of customers
purchased bananas?​

Answers

Answer: 64%

Step-by-step explanation:

You would divide 50 by 32 (32/50), and get the decimal 0.64. Multiply 0.64 by 100 and you will get 64, your percent.

You deposit $3000 in an account earning 8% interest compounded monthly. How much will you have in the account in 10 years?

Answers

Answer:

You will have approximately  

4 , 049.58   in your account in 10 years

Step-by-step explanation:

To calculate the future value of $3000 deposited in an account with an 8% annual interest rate compounded monthly over 10 years, use the compound interest formula [tex]A = P(1 + r/n)^{(nt)}[/tex], resulting in approximately $6,658.93.

You want to find out how much money you will have in an account after 10 years when you deposit $3000 with an annual interest rate of 8% compounded monthly. To solve this, you can use the compound interest formula:

[tex]A = P(1 + r/n)^{nt}[/tex]

Where:

A = the future value of the investment/loan, including interest

P = the principal investment amount (initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per year

t = the time the money is invested or borrowed for, in years

Given the data:

P = $3000

r = 0.08 (since 8% = 0.08 when converted to a decimal)

n = 12 (monthly compounding)

t = 10 years

You can now calculate:

A = 3000(1 + 0.08/12)¹²⁰

Then:

A ≈ 3000(1 + 0.0066667)¹²⁰

A ≈ 3000(1.0066667)¹²⁰

A ≈ 3000(2.21964)

A ≈ $6,658.93

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