On a​ team, 6 girls and 5 boys scored a total of 57 points. The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.

Answers

Answer 1

Answer:

The number of points scored by girls = x = 7 points

The number of points scored by boys = y = 3 points

Step-by-step explanation:

The number of points scored by girls = x

The number of points scored by boys = y

On a​ team, 6 girls and 5 boys scored a total of 57 points.

6 × x + 5 × y = 57

6x + 5y = 57....... Equation 1

The difference between the number of points scored by the 6 girls and the number of points scored by the 5 boys is 27.

6x - 5y = 27.......... Equation 2

6x + 5y = 57....... Equation 1

6x - 5y = 27.......... Equation 2

We Add the Equations together

12x = 84

x = 84/12

x = 7 points

6x + 5y = 57....... Equation 1

6(7) + 5y = 57

42 + 5y = 57

5y = 57 - 42

5y = 15

y = 15/5

y = 3 points

Hence:

The number of points scored by girls = x = 7 points

The number of points scored by boys = y = 3 points


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Step-by-step explanation:

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Answer:

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Step-by-step explain

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The angle measures of a triangle are shown in the diagram



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Answer: Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Step-by-step explanation: To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

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72 is what percent of 480? Write and solve an equation to solve the problem.

Answers

Answer:

Step-by-step explanation:

480 = 100%

72  =   ?       you can find it doing  (72(100))/480

72(100)= 7200      

7200/480= 15    

the answer is 15%

have a nice day :)

Please help its timed​

Answers

Answer:

give us the equation u donut

Answer:

c

Step-by-step explanation:

the conclusion ccxtryufrhhicycddtriv

Dana surveyed students in her class. She found that 8 earned an A, 6 earned a B, 4 earned a
C, and 2 earned a D on the last science test. If she randomly surveys one more student from
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My Progress >

Answers

Answer:

2/5

Step-by-step explanation:

In order to find the probabability, you first need to find your total. So:

A, B, C, D,

8+ 6 + 4 + 2 =

20

Since, 20 is out toal it goes in our denominator

Now since we artrying to find the probability of A then we count the number of students who an A and place that in our denominator

8/20

We simplify

2/5

Answer:

2/5

Step-by-step explanation:

Jill bought a lamp at a garage sale for $12. She fixed the lamp and solid it in her furniture shop for $40. What was the approximate percent markup

Answers

Answer:

233.333%

Step-by-step explanation:

yeah that's it

Answer:

233.333 %

Step-by-step explanation:

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AC/DF= BC/EF is the correct answer! :)

Answer:the forth answer is correct

Step-by-step explanation:

Max's desk is 34 inches tall. There are approximately 2.54 centimeters in 1 inch.
Which of the following best represents the height of Max's desk in centimeters?

Answers

86.36cm(centimeters) in height, hope this helps :)

if the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth term?​

Answers

Answer:

a₄ = 2

Step-by-step explanation:

Each term in an arithmetic sequence is obtained by adding the common difference to the previous term, then

a₃ = 7 , so

a₄ = a₃ + 5 = 7 - 5 = 2

Answer:

t4=a+(n-1)d

t4=7+(4-1)-5

t4=7+(-15)

t4=-8

A common factor for two numbers is one that is a divisor of each of
the two numbers. What is the greatest common factor of 24 and 36?

Answers

Answer:

The answer is 12.

Step-by-step explanation:

Please mark as Brainliest, this is the right answer

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Answers

Ok, to prove the two triangles, we need reasoning:

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2) angle DCA is equal to angle BAC (this is due to alternate angles)

3) angle BCA is equal to angle DA (again, this is due to alternate angles)

Determine if each ratios or rates are equivalent.

$12 for 3 paperback books, $28 for 7 paperback books.

Answers

Answer:

no these are not equivalent

Step-by-step explanation:

these aunt equivalent because 12+12 =24 and 3+3=6 not 7 or 28 so no ccx these are not equivalent

^^^ this one alsoooooo

Answers

Answer:

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Step-by-step explanation:

BED = 180°-65°

= 115°

Answer:

115°

Step-by-step explanation:

Since CE is perpendicular to AD , then ∠ AEC = 90° and

∠ BEC = 90° - 65° = 25° , then

∠ BED = ∠ BEC + ∠ DEC = 25° + 90° = 115°

answer this please !!!!!

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The second one is correct!! Answer number b
The correct answer is b

Question 1
Find the highest common factor of 70
and 126​

Answers

Answer:

The highest common factor of 70 and 126 is 14.

Step-by-step explanation:

The highest factor is 14

will mark brainliest

Answers

Answer:

1.

31, 37, 43, 49, 55

2.

for nth number the value is 31+6(n-1)

3.

24th number, 169-31=138 and 138/6=23

1. 31, 37, 43, 49, 55
2. The value of the nth number 31 + 6(n - 1)
3. The 24th row, 169 - 31 = 138 and 138 / 6 = 23 and 31 + 6(24 - 1) = 169

elmo has 5 donuts, he cuts them into halves. then he cuts those halves into thirds, then he cuts those thirds in halves. how much does he have?

Answers

Answer:

60

Step-by-step explanation:

1. 5 donuts cut in halves:

5 : 1/2 = 10

2. Then he cuts those halves into thirds:

10 : 1/3 = 30

3. Then he cuts those thirds in halves:

30 : 1/2 = 60

Final number of pieces is 60

Is this proportional???

Answers

Answer:

yes

Step-by-step explanation:

What is a good reasoner this help plz.

SO I copied an answer for my school and I accidentally copied "hope this helped" and she is wondering why I put that... PLZ HELP :/

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Answer: I pushed the wrong button on my computer I apologize.

Step-by-step explanation: That's the best I got.

Answer:

say that you meant to say "hope this is correct" but accidentally put that

Step-by-step explanation:

HELP ME PLEASE!!Dominic invested $19,000 in an account paying an interest rate of 6.1% compounded monthly. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 16 years?

Answers

Answer:

A≈50298

Step-by-step explanation:

The money to the nearest dollar would be in the account after 16 years is to be considered as the $50,298.

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Since

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The present value = $1,9000

The PMT is = $0

Now the following formula is used;

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= -FV(RATE,NPER,PMT,PV,TYPE)

After applying it, the future value should be $50,298.

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Solve for y.
y- 1.47 = 8.77​

Answers

Answer:

10.24

Step-by-step explanation:

8.77 plus 1.47 = 10.24

Answer:

y = 10.24

Step-by-step explanation:

y - 1.47 = 8.77

=> y = 8.77 + 1.47

=> y = 10.24

what is 7 + 7 +7+7+7+7 x 0

XD

Answers

Answer:

35

~

Just simplify the expression and you'll get:  

35

~

You might be wondering why isn't the answer 0, since anything multiplied by 0 is 0.

~

It's because to answer this question, you will need to use PEMDAS.

P, Parenthesis.

E, Exponents.

M, Multiply.

D, Divide.

A, Addition.

S, Subtraction.

~

Since we don't have parenthesis, exponents, a division sign, or subtraction sign.

All we need to do is Mutiply, and Add.

~

First we multiply, because of the PEMDAS order.

7 * 0 = 0

~

Then, since we used one of the 7's to multiply. (The one next to the 0)

We add the rest of them, not including the last seven.

There are six, sevens.

But we already used one.

So we will add only the other five.

7 + 7 + 7 + 7 + 7 = 35.

7 * 5 = 35

~

And that's it.

You got your answer, 35.

Find the x-intercept and y-intercept of the line.
2x+y=8
y-intercept:
x-intercept:

Answers

Answer:

The x intercept is 4 (by substituting y as zero we get x intercept)

And the y intercept is 8 (by substituting x as zero we get y intercept)

Take (4, 0) and take (8, 0) to graph the line

You're welcome!

Answer:

x = 4 y = 8 graph (4,0) and (8,0)

What is the following quotient?

StartFraction StartRoot 96 EndRoot Over StartRoot 8 EndRoot
2 StartRoot 3 EndRoot
4
2 StartRoot 22 EndRoot
12

Answers

9514 1404 393

Answer:

  2√3

Step-by-step explanation:

Maybe you want the quotient ...

  [tex]\dfrac{\sqrt{96}}{\sqrt{8}}=\sqrt{\dfrac{96}{8}}=\sqrt{12}=\sqrt{4\cdot3}=\boxed{2\sqrt{3}}[/tex]

Answer:

the anwser is 2suareroot3 aka A

Step-by-step explanation:

i just got it right on edge! :)

Solve 0.2(4x+10)−0.9x=0.2(x−6)+12.2 . Justify each step.

Answers

Answer:

x = -30

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

0.2(4x + 10) - 0.9x = 0.2(x - 6) + 12.2

Step 2: Solve for x

Distribute 0.2:                         0.8x + 2 - 0.9x = 0.2x - 1.2 + 12.2Combine like terms:                -0.1x + 2 = 0.2x + 11Add 0.1x on both sides:          2 = 0.3x + 11Isolate x term:                          -9 = 0.3xIsolate x:                                  -30 = xRewrite:                                   x = -30

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    0.2(4(-30) + 10) - 0.9(-30) = 0.2(-30 - 6) + 12.2Multiply:                               0.2(-120 + 10) + 27 = 0.2(-30 - 6) + 12.2Add/Subtract:                      0.2(-110) + 27 = 0.2(-36) + 12.2Multiply:                               -22 + 27 = -7.2 + 12.2Add:                                     5 = 5

Here we see that 5 does indeed equal 5.

∴ x = -30 is the solution to the equation.

Write the equation of a line parallel to y=2x+2 that passes through the point (-1, -7)

Answers

Answer: y=2x-5

Step-by-step explanation:

To find the line that is parallel to y=2x+2, we know the slope must be 2. Parallel lines NEVER touch. That tells us that the slope must be 2. Now, all we have to do is to plug in the point to find the y-intercept.

-7=2(-1)+b            [multiply]

-7=-2+b                [add both sides by 2]

b=-5

With the y-intercept, we can find the parallel line.

y=2x-5

Triangle JKL is rotated 45 degrees counterclockwise using the origin as the center of rotation

Answers

Answer:it is a my lad

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

$1,250 at 5% simple interst for 2 years

Answers

Answer:

2625

Step-by-step explanation:

Simple Interest Formula

P*R*T

1250*1.05*2=2625

Answer:

After two years, there will be a total of $1,375 paid and $125 paid in interest.

Step-by-step explanation:

Since, 5 x 2 = 10, first we should find 10% of $1,250.

1,250 x 0.10 = 125

$1,250 + $125 = $1375

Therefore, after two years, there will be a total of $1,375 paid and $125 paid in interest.

Hope this helps! :D

I can’t solve or bring myself to understand it :/ I’m having difficulties

Answers

Answer:

x = 50

Step-by-step explanation:

Since the output is 0, x^2 is 2500 but written differently.

Just take the square root of 2500, which is 50.

50^2 = 2500

2500 - 2500 = 0

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