The table shows that the ratio of boys to girls at Midtown Middle School is 3 to 4. Which classes have an equivalent ratio of boys to girls? Check all that apply. A math class with 12 boys and 16 girls.
An English class with 14 boys and 14 girls.
A science class with 15 boys and 20 girls.
A Spanish class with 20 boys and 15 girls.
A band class with 75 boys and 100 girls.

Answer:

21

Step-by-step explanation:

First, we have to find g(2)

Plug in 2 in the g(x) equation

g(2) = 5(2) = 10

Now, we have f(10)

Pug in 10 in the f(x) equation

f(10) = 2(10) + 1

f(10) = 20 + 1 = 21

Answer:

x = - 1/2 or -0.5

Step-by-step explanation:

Steps on the pic above

Answer:

8

Step-by-step explanation:

Answer:

x² + y² = 17

Step-by-step explanation:

The standard  equation of a circle is :

(x -h)² + ( y -k) ²= r², where (h, k) are the a coordinate of the center of the circle and r is the radius of the circle

If the end point of diameter has the coordinates (-4,-1) and  (4,1)​ then the center is at the origin so we have (h= 0, k= 0)

The radius is half of the diameter so is the distance form (0,0) to (4, 1).

We can use Pythagorean Theorem to find r²

r ² = 4²+1² =  17

(x -h)² + ( y -k) ²= r², substitute what we found out

(x -0)² + ( y -0) ²= 17

x² + y² = 17

This is the equation of the circle given characteristics end point of diameter (-4,-1) , (4,1)​

Answer:

hmmmm can you show your grapg

The employee who did not have the same dollar amount in sales for the month of February as the other two employees is (a) Employee 1.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Earnings of three employees in the month of February are :

Employee 1 = 4.7 = $4700

Employee 2 = 4.9 = $4900

Employee 3 = 4.4 = $4400

Earnings of employee 1 = $2,000 + 3% on all sales

Let the amount of all sales be x.

2000 + (3% x ) = 4700

2000 + 0.03x = 4700

0.03x = 2700

x = 90,000

Earnings of employee 2 = 7% on all sales

Let the amount of all sales be x.

0.07x = 4900

x = $70,000

Earnings of employee 3 = 5% on the first $40,000 + 8% on anything over $40,000

Let the amount of sales be 40,000 + x.

(0.05 × 40,000) + (0.08 x) = 4400

2000 + 0.08x = 4400

0.08x = 2400

x = $30,000

Amount of sales = $40,000 + $30,000 = $70,000

Hence employee 1 did not have the same amount as the other 2 in February.

Learn more about Percentage here :

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Answer:

I think it's -4/5

Step-by-step explanation:

3 + -7 = -4

--------------

5

=

-4/5

Answer:

cross-section

Step-by-step explanation:

prism is a type of three-dimensional (3D) shape with flat sides.

It has the same cross-section all along the shape from end to end; that means if you cut through it you would see the same 2D shape as on either end.

Answer:

2x ×2y=15. then solve for equation x and y

Answer:

A) 17 m  B) 20.8 m

Step-by-step explanation:

I cannot mark on the image but you can find the length of A to the bottom of the shape by subtracting 26-11

26-11 = 15

I will label the triangle as ABC (AB the length we trying to find, BC is 15 *it is angle B to the intercept of A and the bottom of the shape, AC is 8 because it is parallel to the given length 8)

AB is the hypotenuse

We can use the pythagorean theorem  to find length AB (a^2 + b^2 = c^2)

a and b is the legs which is 8 and 15

8^2 + 15^2 = AB^2

64 + 225 = AB^2

289 = AB^2

√289 = AB (to undo a square, you use square roots)

√289 = 17

AB = 17 m

Now we need to find the hypotenuse of AC

the same thing, we did for problem A, use the pythagorean theorem

17^2 + 12^2 = AC^2

289 + 144 = AC^2

433 = AC^2

√433 = AC

√433 is about 20.808...

round to the tenth as stated in the directions

AC = 20.8 m

Parameterize C by the two vector functions,

r(t) = (1 - t) (0, 0) + t (6, 0) = (6t, 0)

with 0 ≤ t ≤ 1, and

s(t) = (6 cos(t), 6 sin(t))

with 0 ≤ t ≤ π/2.

Then the line integral over C is equal to the sum of the line integrals over each path:

[tex]\displaystyle \int_C dS = \int_0^1 \|r'(t)\| \, dt + \int_0^{\frac{\pi}2} \|s'(t)\| \, dt[/tex]

[tex]\displaystyle \int_C dS = \int_0^1 \sqrt{6^2 + 0^2} \, dt + \int_0^{\frac{\pi}2} \sqrt{(-6\sin(t))^2 + (6\cos(t))^2} \, dt[/tex]

[tex]\displaystyle \int_C dS = 6 \int_0^1 dt + 6 \int_0^{\frac{\pi}2} dt[/tex]

[tex]\displaystyle \int_C dS = 6 + \frac{6\pi}2 = \boxed{6+3\pi}[/tex]

Answer:

B. P′ (−4, 0)

Step-by-step explanation:

You can look at the graph. The X-axis always goes first. SO -4 is first because it's on the x-axis. ANSWER= (-4, 0)

Answer:

did u mean 7 minutes & 30 seconds or

do you need seperate percentage for each ???

Answer:

420 i think

Step-by-step explanation:

7 mins

7×60

=420

plus the 30sec

450 sec

450/3600×100

45000/3600

450/36

12.5

Answer:

It is 5/6

Step-by-step explanation:

For questions like these use caculator soup you can use it for fractions and much more it shows u how to work the problem out also.

Answer: There are 22 players in a football team, 9 play defense, 10 play midfield and 11 play back, 5 play defense only, 4 play midfield only and 6 ...

Step-by-step explanation:Represent the information on Venn diagram. 2.how many players play all the three positions.

Answer:

AFC

Step-by-step explanation:

You can tell by the angles

Answer:

5.72

Step-by-step explanation:

(-16.75 + 16.75) = 0

0 + 5.72= 5.72

Therefore, the answer is 5.72

Answer:

10

Step-by-step explanation:

deoends how many pieces each pizza has. if it has 8 pieces each it would be 8×5=40

Answer:

Step-by-step explanation:

(-2-i)(4+I)

= (-8-2i-4i-l)

thats it basically since there are two unknowns so it cant be simplified further

Answer:

log(A^8)

Step-by-step explanation:

because i learned it a bit early as a teen

Answer:

3 minutes

Step-by-step explanation:

Answer:

[tex](x-1)^2(x+3)[/tex]

Step-by-step explanation:

For factorization the given expression you can use the Ruffini's rule.

First find the divisors of the independent term (these are the possible rational roots), in the given polynomial the independent term is [tex]3[/tex].

[tex]3 = \{\pm1,\pm3\}[/tex]

Now replace each number in the polynomial

[tex]P(1) = 1^3 + 1^2 - 5(1) + 3 = 0[/tex]

If the result is equal to 0 that's meaning that is a possible root of the polynomial. Then for know if is a root you have to divide the polynomial by [tex](x - \text{possible root})[/tex].

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

In the first row are the coefficients of the given polynomial.

In the second row are the product between the coefficients and the independent term of the [tex]x-1[/tex].

The third row are the coefficients of the quotient polynomial (except the last that is the remainder).

[tex]\qquad 1\qquad 1\qquad-5\qquad \quad3\\1\qquad\qquad1\qquad \quad 2\qquad-3\\-------------\\ 0 \ \ \quad1 \qquad 2 \qquad -3 \qquad \quad 0[/tex]

Because the last term is the remainder and it's 0 you can factorizate [tex](x-1)[/tex] and the quotient polynomial is equal to

[tex]x^2 + 2x -3[/tex]

So our current expression is [tex](x-1)(x^2 + 2x -3)[/tex], however you can factorizate the quotient polynomial in:

[tex]x^2 +sx +rx +rs = x^2 + 3x -x + 3(-1) = (x + 3)(x -1)[/tex]

So the last expression is:

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

This expression 40=4+(n-1)3 represents the correct arithmetic progression.

What is an arithmetic progression?

Every term following the first is derived by adding a constant value, known as the common difference, in an arithmetic progression.

We have,

4 + 7 + 10 + 13 + 16 + 19 + 22 + 25 + 28 +31 + 34 + 37 + 40

Arithmetic progression formula:

                             [tex]a_{n}=a_{1}+(n-1)d[/tex]

where

[tex]a_{n}[/tex] = the nᵗʰ term in the sequence

[tex]a_{1}[/tex] = the first term in the sequence

[tex]d[/tex] = the common difference between terms

By using arithmetic progression formula we can find last term of an Arithmetic series.

                    [tex]a_{n}=a_{1}+(n-1)d[/tex]

                    [tex]a_{n}[/tex]= 4 + (n-1)3

                    [tex]a_{n}[/tex] = 4 + (13-1)3

                     [tex]a_{n}[/tex]  = 40.

we have calculated the last term by using arithmetic progression formula which is 40.

Hence, This expression 40=4+(n-1)3 represents the correct arithmetic progression.

To learn more about arithmetic progression from the given link,

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Size of final payment is $6392.43

Given that formula for compound interest is P(1+r/n[tex])^{nt}[/tex]

where P is initial principal

r is interest rate

n is compound times per period

t is time in years

We find all the variables in the formula in order to get our answer.

Initial principal = 96000 less 25%= 72000

interest rate = 9%

number of compound times= 12

time in years =4.25 years (whole period is 4.5 years since number of payments to complete balance will take 54 months)

Hence principal and CI after 4 years and 3 months(the second to last payment)

72000(1+0.09/12)^12x4.25=$105,393.6

We use $105,393.6 as our principal to calculate the whole interest and principal for the period in order to find last payment

105393.6(1+0.09/12)^12x0.25=$107,786.03

interest for the final month = $107786.03-$105,393.6=$2392.43

To get our final payment, we add the principal payment of $4000 to final compounded interest =$6392.43

8V+3=105

clt

8v=105-3

=102

divide both sides by 8v

8v=102/8v

V=12.75

Answer:

1 : 2000000

Step-by-step explanation:

we have to convert 20km into cm so

20km×100000

=2000000

So ratio is 1:2000000

Answer:

1:2000000.

Step-by-step explanation:

1 km = 1000m = 100*1000

= 100,000 cm

20 km = 2,000,000 cm.