If RS = 12 and ST = 7, find RT. U

Ratio of boys who liked soccer to boys who liked basketball = 3:5

Given :-

Number of boys who enjoyed soccer :-

[tex]\color{hotpink} = \color{hotpink}90 \: \: \color{hotpink}boys[/tex]

Total number of boys who were surveyed were equal to the total number of girls who were surveyed .

Which means :-

Let the total number of boys who were surveyed be x .

Total number of boys =

[tex] = \frac{3}{8} \times x = 90[/tex]

[tex] = x = 90 \div \frac{3}{8} [/tex]

[tex] = x = 90 \times \frac{8}{3} [/tex]

[tex] = x = \frac{720}{3} [/tex]

[tex]\color{hotpink}x =\color{hotpink} 240[/tex]

Which means a total of 240 boys were surveyed .

Number of boys who liked basketball :-

[tex] = \frac{5}{8} \times 240[/tex]

[tex] = \frac{1200}{8} [/tex]

[tex]\color{hotpink} = 150 \: \: boys[/tex]

Which means a total of 150 boys liked basketball .

Number of girls who liked soccer :-

[tex] = \frac{7}{8} \times 240[/tex]

[tex] = \frac{1680}{8} [/tex]

[tex]\color{hotpink} = 210 \: \: girls[/tex]

A total of 210 girls enjoyed soccer .

Number of girls who enjoyed basketball :-

[tex] = \frac{1}{8} \times 240[/tex]

[tex] = \frac{240}{8} [/tex]

[tex]\color{hotpink} = 30 \: \: girls[/tex]

A total of 30 girls like basketball .

Therefore , 210 girls enjoyed soccer and 30 girls enjoyed basketball .

Answer:

$81

Step-by-step explanation:

27+27+27=$81

30/24= 1.25m per min

= 1.25×36= 45 minutes

Answer:

-4

Step-by-step explanation:

ig i was right the first time

Answer:

Step 2 was the first mistake and the second option is the answer.

Step-by-step explanation:

Julia incorrectly factored the -1 from the second group of terms.

The correct option is (B)

An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

Given:

2x^4 + 2x³ -x²-x

While solving the above expression in the third step

x(2x²(x+1)) - 1(x-1)

should be

x(2x²(x+1)) - 1(x + 1)

Hence, Julia incorrectly factored the -1 from the second group of terms.

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Answer:

12cm

Step-by-step explanation:

Since it is an equilateral triangle, meaning that all sides are equal the height is 12 cm.

Answer:

$637.50

step by step explanation :

P = $3000

t= 5years

r = 4.25% per annum

Interest = (p×r×t)/100

= (3000×4.25×5)/100

= $637.50

Answer:

uhhhhhhh anywun know ze answer?

Step-by-step explanation:

Answer:

At least 6 but are there answer choices or at least a picture of the mixture

~ Zachary

Answer:

Its 18,24,30

Step-by-step explanation:

I had the same question and this was the answer.Plus if you do the math this is the only one that equals c^2

Answer:

whats the question?

Answer:

140!

Step-by-step explanation:

200 - 60 = 140

Answer:

Length= 7 Width=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

              Statements                                     Reasons

1). 17 - 3(w + 5) = 6(w + 5) - 2w            1). Given

2). 17 - 3w - 15 = 6w + 30 - 2w            2). Distributive property

3). -3w + 2 = 4w + 30                           3). Addition property of equality

4). -7w + 2 = 30                                    4). Subtraction property of equality

5). -7w = 28                                          5). Subtraction property of equality

6). w = -4                                              6). Division property of equality

Answer: x = -144

Step-by-step explanation:

x/9 = -16

9*(x/9) = (-16)*9

x = -144

Answer:

3%

Step-by-step explanation:

2 meter = 200cm

6cm/200cm = 3/100

3/100 x 100 = 3%

Hope this helps...

Answer:

Step-by-step explanation:

we are going to assume a diameter of the hole has 6in

the radius of the ball is 3in

we looking at a range of the hole greater by (3<4)

we know that the circumference of a circle is given as

the circumference of the ball is

C=2πr

C=2*3.142*3

C=18.85in

The circumference of the hole is ( 1 inch greater )

C=2πr

say the diameter is 6in plus 1in = 7in

the radius =3.5in

C=2*3.142*3.5

C=21.99

compare with the ball the difference is 21.99-18.85

=3.14 which is in the range

The circumference of the hole is ( 2inches greater. )

C=2πr

say the diameter is 6in plus 2in = 8in

the radius =4in

C=2*3.142*4

C=25.13in

compare with the ball the difference is 25.13-18.85

=6.28 which is out of  the range

Step-by-step explanation:

4(2x-7)+4>-88

4(2x-7)>-92    Subtract 4 from both sides

8x-27>-92     Distributive property

8x>-65      Add 4 to both sides

-8x<65    I call this the negative switch, but it is called something else

x<-8.125

Answer:

4

Step-by-step explanation:

Answer:

(-2,0) and (0,-5) on the graph for the interprets x and y.

Note: I need points lol, pls put thanks and vote your stars for me! Thx!

The required x and y-intercept of the given equation is x = -2 and y = -5.

Given that,
An equation of the linear function is given 10x + 4y =-20, x and y-intercept of the function are to be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given a linear function,
10x + 4y = -20
In order to get the values of the intercept we have to put x and y to zero individually,

First, for x-intercept y = 0
10x + 4(0) = -20
10x=-20
x = -2

Second for y-intercept x = 0
10(0) + 4y = -20
y = -5

Thus, the required x and y-intercept of the given equation is x = -2 and y = -5.

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Answer:

-20 & -1

Step-by-step explanation:

-20+-1=-21

-20*-1=20

Answer: 18 OB. 8 x + -10 oc. 11 x + 12.45 8 OD= 8​

Step-by-step explanation: It is simple math-

Answer:

the answer is x= 10/3 sooo C!!!

hope this helps!!

Step-by-step explanation:

Answer:

Your answer is correct

Answer:

no solutions because you would get an outcome of a not real world problem

Answer:

68%

Step-by-step explanation:

Answer:

Sally's soccer team won 68% of the games they played.