what is The ratio of boys to girls at the dance was 9 to 5. How many girls were at the dance if there were 85 girls at the dance?

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a )

[tex]angle \: 4 = 62°[/tex]

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b )

[tex]8x + 6 = 62[/tex]

Subtract sides 6

[tex]8x + 6 - 6 = 62 - 6[/tex]

[tex]8x = 56[/tex]

Divide sides by 8

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

[tex]x = 7[/tex]

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Answer:

4 = 15.5 degrees

Explanation:

180 degrees - 118 degrees = 62 degrees

62/4= 15.5 degrees

Answer:

x = 7 degrees

Explanation:

8x+6=62  

62-6=56

8x=56

x=7

Answer:

y = - 4

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (0, - 4) with y- coordinate - 4, thus

y = - 4 ← equation of horizontal line

Answer:

A. 160 Out of 40 is 400%./// B. The answer is 25/// C.  The answer is 3905%

Step-by-step explanation:

( A )  One step solution:

You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.

So, 160 is 40% of =  160 X 100     = 400

                                        40

( B ) The same thing as A but the numbers are switched

       One step solution:

You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.

So, 40 is 160% of = 40 × 100      = 25

                                          160

( C ) Working out a percentage increase or decrease between two numbers is pretty simple. The resulting number (the second input) is 1602 and what we need to do first is subtract the old number, 40, from it:

1602 - 40 = 1562

Once we've done that we need to divide the result, 1562, by the original number, 40. We do this because we need to compare the difference between the new number and the original:

1562      = 39.05          

40

We now have our answer in decimal format. How do we get this into percentage format? Multiply 39.05 by 100?

39.05 x 100 = 3905%

160 is percentage of 40,  40 is 160% , number is 40% of 1602​ are 64 , 64 and 640.8 respectively.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Problem A,

40% of 160 = 160 x 40 / 100

                  = 64

Problem B,

160% of 40 = 160 x 40 / 100

                  = 64

Problem C,

40% of 1602 = 1602 x 40 / 100

                     = 640.8

Therefore, 160 is percentage of 40,  40 is 160% , number is 40% of 1602​ are 64 , 64 and 640.8 respectively.

To learn more about the percentage;

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Answer: 1,200 dollars

Step-by-step explanation:

We know that the cost before the discount is 6,000.

The discount price is 80% off.

So, subtract 4,800 by 6,000 because 80% of 6,000 is 4,800.

Now, we have to add the two zeros. We get 1200.

It is the answer to the question.

Answer:

R=50 degrees

Step-by-step explanation:

All of the angle measures together are 180 degrees. You need to make an equation in order to solve this problem:

180= (3x+5) + (11x-1) + (5x+5)

You then combine like terms:

180= (3x+11x+5x) + (5-1+5)

180= 19x+9

Then, subtract 9 from 180:

171= 19x

Then, divide 171 by 19:

9= x

Finally, you plug the value of x into the equation representing angle R:

5 x 9 + 5

45 + 5

50

Answer:

80%

Step-by-step explanation:

Divide 24 by 30

Answer: 80%

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) y = 5x

x      y

2     10

3      15

7       5 * 7 = 35

1       5 * 1  =  5

2) a = 4b

a               b

12             3

20            5

4*10=40   10

1                 1/4

3) m = n + 2

m                n

5                  3

10                 8

20                18

1                    -1

Answer:

UNDEFINED

Step-by-step explanation:

change in y over the change in x is how you'd find slope, however, x is the same in both of these, making this a limitation not an equation, therefore the slope is undefined 18-18 = 0 -> Anything divided by zero as a slope is undefined.

Answer:

what?

Step-by-step explanation:

x + y = 16

y = -3x

x=-8

y=24

-8+24=16

16=16

-3(-8)=24

24=24

Answer:

Option A: Madison, (1.2,-1.6) is the correct answer.

Step-by-step explanation:

Observing Madison's solution it can be seen that he has used elimination method to solve the system. If elimination method has to be used the first equation has to be multiplied by 4

[tex]4(2x-y) = 4(4)\\8x-4y = 16[/tex]

While Madison has made mistake with sign of one term in equation 1 (he has written -8x instead of 8x)

So Madison's solution is wrong.

Tyler has used the substitution method to solve the system of equations and has done it correctly (Calculated value of y in terms of x from equation 1 and substituted in equation 2)

The value of x=1.2 is correct, we have to find the value of y

So,

Putting the value of x=1.2 we get,

[tex]y=2x-4\\y = 2(1.2)-4\\y = 2.4-4\\y= -1.6[/tex]

The solution of given system of equations is (1.2,-1.6)

Hence,

Option A: Madison, (1.2,-1.6) is the correct answer.

Answer:

[tex]Change = \$10.25[/tex]

Step-by-step explanation:

Given

[tex]Individuals = 4[/tex] (You and 3 friends)

[tex]Total = \$20.00[/tex]

[tex]Movie = \$6.25[/tex] per individual

[tex]Popcorn = \$3.50[/tex]

Required

Determine the change

First, we need to determine the total amount spent on movie ticket.

The question does not state whether I pay for my friend's ticket.

So, we'll work on what is obvious.

i.e

[tex]Amount\ Spent\ on\ Ticket = \$6.25[/tex]

Add this amount to the amount spent on popcorn

[tex]Amount\ Spent =\$6.25 + \$3.50[/tex]

[tex]Amount\ Spent =\$9.75[/tex]

To get the Change, we have to deduct the total amount spent from the amount given by mom

[tex]Change = \$20 - \$9.75[/tex]

[tex]Change = \$10.25[/tex]

Hence:

The change is $10.25

Answer:

(2, 3)

Step-by-step explanation:

lines with undefined slopes are vertical lines

Answer:

6 to the power of 10

Step-by-step explanation:

Since there are parenthesis, you multiply the exponents instead of adding. 5*2=10

Answer:

57 + j = A

Step-by-step explanation:

So, the word TOTAL comes up in this question, therefore we know we are adding. So the answer would be ~

57 + j = A

Were A is the answer.

Have a Great Day!!

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Answer:

7.692

Step-by-step explanation:

Divide 84 by 10.92 to get 7.69230769231

Round 7.69230769231 to the nearest thousandth to get 7.692.

Answer: 7.69 rounded

Step-by-step explanation: The numbers go on further but I just rounded it to the hundredths. The full number if you want is 7.69230769231.

Now, Change the divisor 10.92 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.

We then have the equations:

8400 ÷ 1092 = 7.69

and therefore:

84 ÷ 10.92 = 7.69

Both calculated to 2 decimal places.  

                               0 0 0 7. 6 9

1 0. 9 2 |8 4. 0 0 0 0

                                − 0          

                                       8 4        

                                 −   0        

                                       8 4. 0      

                               −     0      

                                        8 4. 0 0    

                                − 7 6. 4 4     

                                       7. 5 6 0  

                                − 6. 5 5 2    

                                       1. 0 0 8 0

                                −        .9      8  2 8  

                                          .0 2 5 2

Remember that it can keep going on for more decimal places, but this is to 2 decimal places so the answer to 2 decimal places is 7.69.

Hope this helps!

Answer:

C)  y = 10/3x - 5

Step-by-step explanation:

Slope intercept equation is y = mx + b:

    m is the slope

    b is y-intercept

When you read slope you can also read it as rise over run. Rise is move up or down on the y axis depending if number is negative or positive. Run is move left or right on x axis depending if number is negative or positive.

Example: y = [tex]\frac{10}{3} x - 5[/tex]

Start at the y-intercept which is -5. On graph you can see the line crosses the y axis at (0, -5). From this point rise 10 then run 3 you'll end up at point (3, 5). Connect the dots of the two points and you'll see a line like the one in the problem.

Answer: (5p+12)(5p-12)

Step-by-step explanation:

Factor 25p2−144

25p2−144

=(5p+12)(5p−12)

Answer:

(5p+12)(5p−12)

To check:

(5p+12)(5p−12)

=(5p+12)(5p+−12)

=(5p)(5p) +(5p)(−12)+(12)(5p)+(12)(−12)

=25p2−60p+60p−144

=25p2−144

Answer:

Step-by-step explanation:

As per give we have

The equation to consider all is

So correct option is the second one

Answer:

310=20m+35g

Step-by-step explanation:

i just took the test and got it right.

Answer:

2+2=4

Step-by-step explanation:

Answer: infinite solutions

Step-by-step explanation:

(−3) (4) + (−3) (−3x) = 9x + −12

−12 + 9x = 9x + −12

9x − 12 = 9x − 12

9x − 12 − 9x = 9x − 12 − 9x

−12 = −12

−12 + 12 = −12 + 12

0 = 0

Answer:

C.) translation, then reflection

Step-by-step explanation:

It just is...I already know someone is about to see my answer and come up with this super logical explanation but dude this is just the simple terms of geometry at least in the topic I'm learning.....plus I got it correct on my quiz on edge lol

The triangle MNP is translated and then reflected. Then the correct option is C.

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position. Picture, after translation, refers to the object's ultimate organization and placement. From just before the refers to the material's initial condition.

The translation does not change the shape and size of the geometry. But changes the location.

The reflection does not change the shape and size of the geometry. But flipped the image.

The triangle MNP is translated and then reflected. Then the correct option is C.

The diagram is given below.

More about the transformation of the shape link is given below.

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Answer: -3 is greater than -7 and the absolute value of -3 is less than the absolute value of -7.

Step-by-step explanation:

For NEGATIVE numbers, the closer the value is to 0, the greater it is. -3 is closer to 0 than -7 is, so -3 is greater than -7. For POSITIVE numbers, the further away the number is from 0, the greater it is. The absolute value of -3 is 3 and the absolute value of -7 is 7, and 7 is farther away from 0 than 3 is. So, the absolute value of -3 is less than the absolute value of -7. Hope this helps!

Answer:

y=30

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

25

Step-by-step explanation: