A movie theater has a seating capacity of 275. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 1986, How many children, students, and adults attended? CHILDREN ATTENDED= ? STUDENTS ATTENDED= ? ADULTS ATTENDED=?

Answers

Answer 1

Answer:

Adults = 61

Students = 92

Children = 122

Step-by-step explanation:

a adults

x students

c children

a + c + x = 275

c / a = 2

5c + 7x + 12a = 1986

Simplify and solve the system.

a + 2a + x = 275

3a +x = 275

x = 275 - 3a. and c= 2a

The revenue equation can be written in terms of just one variable, a.

5(2a) + 7(275-3a) + 12a = 1986

Solve for a

a = 61

use it to find x and c.

c = 2a = 2 x 61 = 122

x = 275-a-c

x = 275 - 61-122

x = 92


Related Questions

a fruit drink is made by mixing 60ml of orange juice with 180ml of pineapple juice. what is the ratio of orange juice to pineapple juice in its simplest form?

Answers

Answer:

1:3

Step-by-step explanation:

both divide by 60 so do 60 divided by 60 which is one

then 180 divided by 60 which is three

this gives you the answer

Answer:

1:3

Step-by-step explanation:

a ratio is basically the same as a fraction just in a different form. so it would be 60/180 simplified. both 60 and 180 can be divided by 60. so you would divide both numbers by 60 to get 1/3. this cannot be simplified any further. then to put it as a ratio it would just be 1:3

Which of the following compositions of transformations will always produce the same image, regardless of the order in which the transformations are performed?

Answers

Answer:

All compositions are affected by the order in which they are performed

Step-by-step explanation:

We have the following transformations:

-translation

-reflection

-rotation

Each of them are affected by the order in which they are performed, for example:

If we rotate we have:

(x, y) -> (y, -x).

After the reflection:

(y, -x) -> (-y, -x).

If we translated by <2, 5> and reflected through the y-axis:

After the translation, (x, y) -> (x + 2, y + 5)

In other words, all compositions are affected by the order in which they are performed

Please help :(( A candy company has hired you as their new production manager. Your job is to choose the form of packaging for a new product from the five choices below. The candy is animal gummies. The package must hold between 45 and 50 cubic inches (roughly 3 cups of space). The cost of the plastic for the packaging is $0.002 per square inch. Solid 1: Solid 2: Solid 3: Solid 4: Solid 5:

Answers

Answer:

sorry please....what is the end of the question ....no task to do

The radius of circle C is 6 units and the measure of central angle ACB is StartFraction pi Over 2 EndFraction radians. What is the approximate area of the entire circle? square units What is the approximate area of the entire sector created by central angle ACB? square units What is the approximate area of the shaded region only? square units

Answers

Answer:

Step-by-step explanation:

We khow that the radius of our circle is 6

Let A be the area of our cercle :

A= 6^2*Pi = 36 Pi = 113.09 sq.units

We khow that the mesure of our angle ABC is Pi over 2 wich is 90 degree

So this triangle ABC is a right one .

So I think that we must khow the area of this triangle to be able to khow the area of the sector .

We have a hint : ABC is 90 degree so it is the quarter of our cercle

We need to divide the area of the circle by 4

113.09 ÷4 = 28.27

Answer:

113

28

22

Step-by-step explanation:

3x^2 Type of expression coefficients and constant

Answers

Answer & Step-by-step explanation:

3x²

This term represents a monomial expression. Mono- means one. This term is by itself. It has no other term added or subtracted to it.

The coefficient of this term is 3 because it is the number that the variable is connected to.

There are no constants because this is a monomial expression.

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 290 people over the age of 55, 68 dream in black and white and among 288 people under the age of 25, 19 dream in black and white. Use a 0.05 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion of those underIdentify the test statistic?Identify the p value?Test the claim by constructing an appropriate confidence level?What is the conclusion base on the hypothesis test?What is the conclusion base on the confidence level?

Answers

Answer:

he proportion of people over 55 who dream in black and white is greater than the proportion of those under.

The proportion of people over 55 who dream in black and white lies in the range (0.112, 0.226).

Step-by-step explanation:

In this case we need to determine if the proportion of people over 55 who dream in black and white is greater than the proportion of those under.

The hypothesis can be defined as follows:  

H₀: The proportion of people over 55 who dream in black and white is not greater than the proportion of those under, i.e. p₁ - p₂ ≤ 0.  

Hₐ: The proportion of people over 55 who dream in black and white is greater than the proportion of those under, i.e. p₁ - p₂ > 0.  

The information provided is:

n₁ = 290

n₂ = 288

X₁ = 68

X₂ = 19

Compute the sample proportions and total proportions as follows:

 [tex]\hat p_{1}=\frac{X_{1}}{n_{1}}=\frac{68}{290}=0.235\\\\\hat p_{2}=\frac{X_{2}}{n_{1}}=\frac{19}{288}=0.066\\\\\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{68+19}{290+288}=0.151[/tex]

Compute the test statistic value as follows:

 [tex]z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]

    [tex]=\frac{0.235-0.066}{\sqrt{0.151(1-0.151)[\frac{1}{290}+\frac{1}{288}]}}\\\\=5.67[/tex]

The test statistic value is 5.67.

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

 [tex]p-value=P(Z>5.67)\\=1-P(Z<5.67)\\=1-\approx1\\=0[/tex]

The p-value of the test is quite small.

The null hypothesis will be rejected at 5% significance level.

Thus, the proportion of people over 55 who dream in black and white is greater than the proportion of those under.

The significance level of the test is 5%.

Then the confidence level will be:

Confidence level = 100% - Significance level

                             = 100% - 5%

                             = 95%

Compute the 95% confidence interval for the difference between proportions as follows:

[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p{2})}{n_{2}}}[/tex]

The critical value of z for 95% confidence level is z = 1.96.

[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p{2})}{n_{2}}}[/tex]

      [tex]=(0.235-0.066)\pm1.96\cdot\sqrt{\frac{0.235(1-0.235)}{290}+\frac{0.066(1-0.066)}{288}}\\\\=0.169\pm 0.057\\\\=(0.112, 0.226)[/tex]

The null hypothesis would be rejected if the null value, i.e. (p₁ - p₂) ≤ 0 is not contained in the interval.

The 95% confidence interval consist of values greater than 0.

Thus, the null hypothesis will be rejected.

Concluding that the proportion of people over 55 who dream in black and white lies in the range (0.112, 0.226).


Good morning
Pls I will like you all to pls put full explanation.
I am preparing for my Exam
Thank you


6/5=3/d
d=?​

Answers

Answer:

5/2 or 2.5

Step-by-step explanation:

6/5=3/d

6*d=3*5

d=3*5/6

d= 5/2 or 2.5

Answer:

D=2.5

Solution,

[tex] \frac{6}{5} = \frac{3}{d} \\ or \: 6 \times d = 5 \times 3(cross \: multiplication) \\ or \: 6d = 15 \\ or \: d = \frac{15}{6} \\ d = 2.5[/tex]

hope this helps...

Good luck..

which equation describes this line? A. y-3=2(x-2) B. y-9=2(x-1) C. y-1=2(x-9) D. y-2=2(x-3)

Answers

Answer:

y = 2x + 7

Step-by-step explanation:

Step 1: Find slope

m = (9 - 3)/(1 + 2)

m = 2

y = 2x + b

Step 2: Find b

9 = 2(1) + b

9 = 2 + b

7 = b

Step 3: Rewrite equation

y = 2x + 7

Answer:

B) y - 9 = 2(x - 1)

Step-by-step explanation:

(-2, 3) ;(1,9)

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{9-3}{1-[-2]}\\\\=\frac{6}{1+2}\\\\=\frac{6}{3}\\\\=2[/tex]

(1, 9 ) ;  m = 2

Equation: [tex]y - y_{1}=m(x - x_{1})\\\\[/tex]

y - 9 = 2(x - 1)

y - 9 = 2x -2

      y = 2x - 2 + 9

      y = 2x + 7

find the gradient of the curve y=x^2 + 5x-3 at the point x= 2.
please help.

Answers

Answer:

gradient = 9

Step-by-step explanation:

Note that [tex]\frac{dy}{dx}[/tex] is a measure of the gradient.

Differentiate y using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex]) = na[tex]x^{n-1}[/tex]

Given

y = x² + 5x - 3, then

[tex]\frac{dy}{dx}[/tex] = 2x + 5

x = 2 : [tex]\frac{dy}{dx}[/tex] = 2(2) + 5 = 4 + 5 = 9 ← gradient

A cylindrical tank has a diameter of 2.5 feet and a height of 4.8 feet. what is the lateral surface area of the tank to the nearest hundredth square foot?

Answers

Answer:

This is approximately [tex]37.7 ft^{2}[/tex] to the nearest hundredth

Step-by-step explanation:

First of all, we will need to understand that to find the lateral surface area of the cylinder, we simply need to multiply the circumference of the circular base by the height of the cylinder.

In this case, the circumference of the circular base can be obtained by the formula

[tex]2 \pi r[/tex]

Hence we will have the circumference as [tex]2 \times \pi \times \frac{2.5}{2}=7.85 feet[/tex]

Tp get the Lateral area, we will simply have to multiply this value (7.85 feet )

by the height (4.8 feet)

7.85 X 4.8 =[tex]37.68 feet ^{2}[/tex]

This is approximately [tex]37.7 ft^{2}[/tex] to the nearest hundredth

if x=4 and y=-2, the value of 1/2xy^2 is

a. 32
b. 8
c. -4
d. -8​

Answers

Answer:

b. 8

Step-by-step explanation:

To solve, we need to plug in the x and y values since we already have the values given to us

1/2(4)(2^2)

We should do the exponents first, 2^2 is 4

Now we are left with 1/2(4)(4)

4 times 4 is 16

16 times 1/2 is the same as 16/2

16/2=8

b. 8

I think the answer is 8 bc 0.5 x 4 is 2 and -2 x -2 is 4 and 4x2 is 8

Classify each situation as exponential growth or exponential decay.

Answers

Answer:

Step-by-step explanation:

Exponential Growth:

1). The value of a home in a growing community every year.

2). The amount of money in a saving account that earns interest annually.

Exponential decay:

1). The monthly sale of albums of a band whose popularity is declining.

2). The amount of radioactive element remaining in a sample every decade.

3). The temperature of a hot cup of coffee left on the counter every minute.

Someone help me do this? For math

Answers

Answer:

1, 4, 5, 7, 8

Step-by-step explanation:

once you plot the points you will see that these coordinates are inside the star

Hera are 4 fractions labelled A,B,C and D 3/4 5/6 16/25 9/15 A B C D Write them in order starting from the smallest

Answers

Answer: 9/15, 16/25, 3/4 and 5/6.

Step-by-step explanation:

From the question, we have been given four fractions which are 3/4, 5/6, 16/25 and 9/15. We are told to write them in order starting from the smallest. For this to be done, we will have to change the fractions to percentages. This will be:

3/4 = 3/4 × 100 = 75%

5/6 = 5/6 × 100 = 83.3%

16/25 = 16/25 × 100 = 64%

9/15 = 9/15 × 100 = 60%

From the above percentages, arranging the fractions from the smallest will be:

9/15, 16/25, 3/4 and 5/6.

URGENT HELP PLEASE!
Solve the following equations on the interval 0<=x<=2pi

a) square root2 sin 2x=1
b) csc^2x-cscx-2=0

Answers

Answer:

(a) [tex]x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}[/tex]

(b) [tex]x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}[/tex]

Step-by-step explanation:

It is given that [tex]0\leq x\leq 2\pi[/tex].

(a)

[tex]\sqrt{2}\sin 2x=1[/tex]

[tex]\sin 2x=\dfrac{1}{\sqrt{2}}[/tex]

[tex]\sin 2x=\dfrac{\pi}{4}[/tex]

[tex]2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}[/tex]     [tex][\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny][/tex]

[tex]x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}[/tex]

(b)

[tex]\csc^2 x-\csc x-2=0[/tex]

[tex]\csc^2 x-2\csc x+\csc x-2=0[/tex]

[tex]\csc x(\csc x-2)+1(\csc x-2)=0[/tex]

[tex](\csc x+1)(\csc x-2)=0[/tex]

[tex]\csc x=-1\text{ or }\csc x=2[/tex]

[tex]\sin x=-1\text{ or }\sin x=\dfrac{1}{2}[/tex]         [tex][\because \sin x=\dfrac{1}{\csc x}][/tex]

[tex]x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}[/tex]

Therefore, [tex]x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}[/tex].

Pick all that apply the option answer in two minutes

Answers

Answer: PQT and TUV

Step-by-step explanation:

If f(x) = x + 8 and g(x) = x3, what is (gºf)(-5)?

Answers

Answer:

Step-by-step explanation:

f(-5) = -5 + 8 = 3

g(3) = 3^3 = 27

Erin gets her exercise by running. The graph shows the distances she covers in a given amount of time. How many hours does it take for Erin to run 25 miles?

Answers

Answer:

2½ h  

Step-by-step explanation:

Assume the graph is like the one below.

The graph shows how Erin's distance varies with time.

To find out how long it takes Erin to cover 25 mi, find 25 mi on the vertical axis.

From there, draw a horizontal line until it hits the graph.

Then drop a vertical line to the horizontal axis.

It hits half-way between 2 and 3.

It takes Erin 2½ h to run 25 mi.

Answer:

2½ h

Step-by-step explanation:

What is an equation of the line that is perpendicular to y=−34x+6 and passes through the point (3, 9)?

Answers

Answer:

y = 4/3x + 5

Step-by-step explanation:

if the slope is -3/4 then the perpendicular slope is 4/3

y = mx + b

9 = 4/3(3) + b

9 = 4 + b

5 = b

y = 4/3x + 5

Examine the diagram, and answer the question. The points A(2,7) and B(−4,−3) are located in the coordinate plane as shown. Points A and B are shown in the coordinate plane at the locations indicated. What is the approximate distance between the two points?

Answers

Answer:

Option (2)

Step-by-step explanation:

Formula to get the distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

The given points are A(2, 7) and B(-4, -3)

Distance between these points will be,

AB = [tex]\sqrt{(2+4)^2+(7+3)^2[/tex]

     = [tex]\sqrt{6^2+10^2}[/tex]

     = [tex]\sqrt{136}[/tex]

     = 11.66

     ≈ 11.7 units

Therefore, distance between the points A and B is 11.7 units.

Option (2) will be the answer.

Answer:

For those with the square root answer its 2\sqrt(34)

Step-by-step explanation:

Please help! For all values of x, F(x)= x-1 And G(x)=2x^2+3 Solve fg(x)= gf(x)

Answers

Answer:

[tex]\boxed{\sf \ \ \ x=\dfrac{3}{4} \ \ \ }[/tex]

Step-by-step explanation:

hello,

f(x)=x-1

[tex]g(x)=2x^2+3[/tex]

so

[tex]fog(x)=f(g(x))=f(2x^2+3)=2x^2+3-1=2x^2+2 \ and \\gof(x)=g(f(x))=g(x-1)=2(x-1)^2+3=2x^2-4x+2+3=2x^2-4x+5 \ \ So\\\fog(x)=gof(x) <=>2x^2+2=2x^2-4x+5\\<=>4x=5-2=3\\<=>x=\dfrac{3}{4}[/tex]

hope this helps

[tex]\frac{3}{4}[/tex]

The composition of a function is a process in which two functions [tex]f,g[/tex], are combined to produce a new function, [tex]h[/tex], with the formula [tex]h(x)=g(f(x))[/tex]. It means that the [tex]g[/tex] function is being applied to the [tex]x[/tex] function.

[tex]f(x)=x-1\\g(x)=2x^2+3[/tex]

[tex]f(g(x))=f(2x^2+3)[/tex]

            [tex]=2x^2+3-1\\=2x^2+2[/tex]

[tex]g(f(x))=g(x-1)[/tex]

           [tex]=2(x-1)^2+3\\=2x^2+2-4x+3\\=2x^2-4x+5[/tex]

[tex]f(g(x))=g(f(x))[/tex]

[tex]2x^2+2=2x^2-4x+5[/tex]

       [tex]4x=3[/tex]

        [tex]x=\frac{3}{4}[/tex]

For more information:

https://brainly.com/question/12431044?referrer=searchResults

The state tax rate on 1973 incomes was 2% on the first $1000 of income subject to tax and 3% on the next $2000 or any part thereof. By special law, the State allowed a deduction of 1/4 of the tax computed on the above schedule. In 1973, $1800 of Mr. Brown's income was subject to tax. What was the amount of his tax? A) $11 B) $27 C) $33 D) $9

Answers

Answer: C) $33

Step-by-step explanation:

1973 tax rate :

2% on the first $1000 income

3% on next $2000 or any part thereof ;

Brown's total income of $1800

2% of $1000

0.02 × $1000 = $20

3% of $800

0.03 × 800 = $24

Total tax = $(20 + 24) = $44

1/4 tax deduction:

(1/4) of total tax

(1/4) × $44

0.25 × $44

= $11

Total tax - tax deduction

$44 - $11 = $33

Tax amount = $33

What is the length of XQY?

Answers

Answer:

88

Step-by-step explanation:

First you must find the circumference of the entire circle and to do this you use 2πr. The radius in this case is PX=15. This means that the circumference is 30π. Now to find the arc length, we know that the measure of arc XY is 23 degrees, and since there are 360 total degrees in a circle, we must subtract 23 from 360 to get 337° as the measure of arc XQY. Now we have to find what portion of the circumference of the circle is in this arc, and to do this you divide the arc length (337°) by 360° and multiply by the circumference of the circle. Doing this would get you [tex]\frac{337}{360} *30\pi[/tex] which equals ~28. Finally, you have to multiply this by the value of pi and get approximately 88, which is your answer.

Find the mid points of the line joining the pairs of points a.(3,4) and (5,2) b.(0,6) and (4,0) c.(4,2) and (4,-4) d.(-1,-5) and (-3,4) e.(-3,2) and (8,-2)

Answers

Answer:

a(4,3).  b( 2,3). c(4,-1). d(-2,-1/2).  e(5/2, 0).

Step-by-step explanation:

Hello , I can help you with that

the mid point is given by

Let

Point 1

[tex](x_{1},y_{1})[/tex]

Point 2

[tex](x_{2},y_{2})[/tex]

the midpoint is(m)

[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )[/tex]

all you have to do is to put those values into the equation

Step 1

P1(3,4)  and P2(5,2)

[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{3+5}{2},\frac{4+2}{2} )\\m=(\frac{8}{2},\frac{6}{2} )\\m=(4,3)[/tex]

Step 2

P1(0,6) and P2(4,0)

[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{0+4}{2},\frac{6+0}{2} )\\m=(\frac{4}{2},\frac{6}{2} )\\m=(2,3)[/tex]

Step 3

P1(4,2) and P2(4,-4)

[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{4+4}{2},\frac{2-4}{2} )\\m=(\frac{8}{2},\frac{-2}{2} )\\m=(4,-1)[/tex]

Step 4

P1(-1,-5) and P2(-3,4)

[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{-1-3}{2},\frac{-5+4}{2} )\\m=(\frac{-4}{2},\frac{-1}{2} )\\m=(-2,\frac{-1}{2} )[/tex]

Step 5

P1(-3,2) and P2(8,-2)

[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{-3+8}{2},\frac{2-2}{2} )\\m=(\frac{5}{2},\frac{0}{2} )\\m=(\frac{5}{2} ,0)[/tex]

I really hope it helps you, have a nice day

in a survey of 9000 people, 4000 likes tea,4500 like coffee. among them 2500 dont like tea and coffee. find number of people who like tea and coffee both​

Answers

Step-by-step explanation:

No of people likes tea = 4000

No of people like coffee = 4500

Total = 8500

No of people don't like tea and coffee = 2500

No of people like tea and coffee = 8500 - 2500 = 6000

Answer:

500

Step-by-step explanation:

n(t)=4000

n(c)=4500

n(tea only )= 4000-x

n(coffee only )= 4500-x

n(coffee and tea )= x

note...using Venn diagram ..all together must add up to 9000

(4000-x)+(4500-x) +x = 9000

..............

...........collect like terms

9500-9000 = x

x = 500

Please help me with this question.​

Answers

Answer:  a) 110√2 meters

                b) 2.42 hectares

Step-by-step explanation:

a) Since it is a square, the diagonal cuts the square into two 45-45-90 triangles where the diagonal is the hypotenuse.  Therefore, the sides are length x and the diagonal is length x√2.

[tex]x\sqrt2=220\\\\\\x=\dfrac{220}{\sqrt2}\\\\\\x=\dfrac{220}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\x=\large\boxed{110\sqrt2}[/tex]

b) Area of a square is side squared.    10,000 meters² = 1 hectare

   [tex]A=(110\sqrt2)^2\\\\.\quad =(110)^2(\sqrt2)^2\\\\.\quad =12100(2)\\\\.\quad =24200\ \text{meters}^2\\\\.\quad =\large\boxed{2.42\ \text{hectares}}[/tex]

***BRAINLIEST IF ANSWERED*******
Which trigonometric ratio is correct for triangle DEF? (Hint: Use Pythagorean Theorem first) *
Sin(D)= 24/7

Tan(D)= 24/25

Cos(E)= 24/25

Sin(E)= 7/24

Answers

Answer:

First find line DE using Pythagoras theorem

That's

DE² = 7² + 24²

DE = √ 49 + 576

DE = 25

The correct trigonometric ratio for triangle DEF is

Cos(E) = 24/25

Hope this helps

Answer:

Cos(E) = 24/25

Step-by-step explanation:

Which statements about the figure must be true? Select three options. A- Line segment A B is bisected by Line segment C D . B- Line segment C D is bisected by Line segment A B . C- AE = One-halfAB D- EF = One-halfED E- CE + EF = FD

Answers

Answer:

C and E

Step-by-step explanation:

Midpoint, as the word suggests, means the point which lies in the middle of something. The statements that are correct are 1, 3, and 5.

What does a midpoint mean?

Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point which lies in the mid of the given line segment.

The statements which are correct about the given figure are:

AB is bisected by CD. Since CD bisect the line AB at point E, into two equal parts, therefore, the given statement is true.AE = 1/2 AB. Since CD bisect the line AB at point E, into two equal parts, therefore, the given statement is true.CE + EF = FD. Since F is the midpoint of CD, the length of CF and FD will be equal but also CF is divided into two parts, therefore, AE and Eb.

Hence, the statements that are correct are 1, 3, and 5.

Learn more about Midpoint:

https://brainly.com/question/5127660

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Marlon earns 1500 dollars each month he pays rent of 525 dollars each month Find the amount he pays in rent as a percentage of his earnings.

Answers

Answer:

35%

Step-by-step explanation:

He pays 525 out of 1500 dollars.

525/1500 = 7/20

= 0.35

Marlon pays in rent 35% of his earnings.

Anyone help me pls,find the area of each figure(All lines meet at right angles.)​

Answers

Answer:

The Area of the required figure is  [tex]315\:cm^2[/tex]

Step-by-step explanation:

[tex]Area = (21\times 7)+(14\times 7) + (7\times 10)\\\\=147+98+70\\\\=315[/tex]

Best Regards!

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