Last year there were 221 students and 12 teachers at Hilliard School. This year there are 272 students. The principal wants to keep the same student to teacher ratio as last year. Which proportion can the principal use to find x, the number of teacher needed this year?

Answer:

-2,456,000

Step-by-step explanation:

-2.456 x  [tex]10^{6}[/tex] = -2,456,000

Answer:

34.4

Step-by-step explanation:

Using Triangle Sum Theory, you see that the triangles are similar. They have the same angle measurements. That means their corresponding sides are proportional.

[tex]\frac{MN}{NO}[/tex] = [tex]\frac{PQ}{QR}[/tex]

[tex]\frac{14}{11}[/tex] = [tex]\frac{PQ}{27}[/tex]

Cross multiply

14(27) = 11(PQ)

378 = 11(PQ)

[tex]\frac{378}{11}[/tex] = PQ

PQ = 34.4

Answer:

c) x=126

Step-by-step explanation:

tell me if I get it right

Answer:

C

Step-by-step explanation:

Let m represent Mark's age and j represent Jeffrey's age.

Mark is five years older than Jeffrey. Hence:

[tex]m=j+5[/tex]

The sum of Mark's age and triple Jeffrey's age is 73. In other words:

[tex]m+3j=73[/tex]

We can substitute:

[tex](j+5)+3j=73[/tex]

Therefore, our answer is C.

Answer:

<16 should be 70 degrees. Correct me if I'm wrong.

Answer:

70°

Step-by-step explanation:

[tex]m \angle \: 1 + m \angle \: 2 = 110 \degree...(given) \\ \\ m \angle \: 11 + m \angle \:1 2 = m \angle \: 1 + m \angle \: 2 \\ (corresponding \: \angle s) \\ \implies \: m \angle \: 11 + m \angle \:1 2 = 110 \degree \\ \\ now \: \\ m \angle \: 14 + m \angle \:1 5 = m \angle \: 1 1+ m \angle \: 12 \\ (vertical \: \angle s) \\ \implies \: m \angle \: 14 + m \angle \:1 5 = 110 \degree \\ \\ m \angle \: 13 = m \angle \: 16 \: \\ (vertical \: \angle s) \\ \\next \\ m \angle \: 1 1+ m \angle \: 12 + m \angle \: 1 3+ \\ m \angle \: 14 + m \angle \: 1 5+ m \angle \: 16 = 360 \degree \\ \therefore \: (m \angle \: 1 1+ m \angle \: 12 ) + (m \angle \: 1 4+ \\ m \angle \: 15) + m \angle \: 1 3+ m \angle \: 16 = 360 \degree \\ \therefore \:110\degree + 110 \degree + m \angle \: 1 6+ m \angle \: 16 = 360 \degree \\ 220 \degree + 2m \angle \: 16 = 360 \degree \\ 2m \angle \: 16 = 360 \degree - 220 \degree \\ 2m \angle \: 16 = 140 \degree \\ \therefore \: m \angle \: 16 = \frac{140 \degree}{2} \\ \\ \huge \red{ \therefore \: m \angle \: 16 =70 \degree}[/tex]

Answer:

Ok

Thank you for

your time

Answer:  90,  and 1600 degrees.2500

Step-by-step explanation:

If the angles are proportional to 3, 4, 5,Then the angle measures are 3x, 4X and 5X

Step-by-step explanation:

Answer:

45  60  75

Step-by-step explanation:

Let's call the angles 3 x , 4 x and 5 x

They must add up to 180 o in a triangle, so:

3 x + 4 x + 5 x = 12 x = 180 → x = 180 / 12 = 15 So the angles are:

3 ⋅ 15 = 45 o 4 ⋅ 15 = 60 o 5 ⋅ 15 = 75 o Check answer:

45 + 60 + 75 = 180

Answer:

61 pounds

Step-by-step explanation:

you rearrange the equation to make p the subject:

p-8=53

p = 8+53

p = 61

Answer:

7/25 or .28

Step-by-step explanation:

sin=opp/hyp

7/25

Complete question is;

Which of these is an exponential parent function?

A. f(x) = x

B. f(x) = 2^(x)

C. f(x) = x²

D. f(x) = |x|

Answer:

B. f(x) = 2^(x)

Step-by-step explanation:

> In option A, f(x) = x

This function depicts a straight line with intercept as 0 and slope as 1.

> In option C, f(x) = x²

This function depicts a parabola open up since the leading coefficient is greater than 0.

> In option D: f(x) = |x|

This function depicts a straight line y = x for x > 0 and y = -x for x < 0

In option B f(x) = 2^(x)

This function depicts an exponential function because the x is in the exponent form with a base of 2.

Answer:

Below.

Step-by-step explanation:

15+10+8=33.

Answer:

13 meters

Step-by-step explanation:

It went 15 meters, but then it went back 10 meters.

[tex]15-10=5[/tex]

Then it went 8 more meters.

[tex]5+8=13[/tex]

Hope this helped! Please mark brainliest :)

Answer:

[tex]y - 2 = - \frac{6}{5} (x - 0)[/tex]

Step-by-step explanation:

The Point Slope formula is a algebraic formula used for

The formula is

[tex]{y - y _1} = m(x - x_1)[/tex]

We are given its slope and we know a pair of points

Note a y intercept is (0,b). Where b is any real number so our points are (0,2).

Plug it in the expression

[tex]y - 2 = - \frac{6}{5} (x - 0)[/tex]

Answer:

ok

What do you want me to answer ?

An antiderivative of a function is also known as integral of function. We are being ask to integrate the following function.

[tex]\int f(x)dx=\int 10x+3dx[/tex]

This function is relatively easy to integrate because its just a sum of terms with various exponents.

[tex]\int 10x+3dx=5x^2+3x+C[/tex]

To check, you can perform derivative on the function you got from antideriving. If it equals to the original function, then antiderivation procedure was done correctly.

[tex]\frac{d}{dx}5x^2+3x+C=10x+3=f(x)[/tex].

Et voilà.

Hope this helps.

Step-by-step explanation:

here's your answer hope it helps you

Answer:

She should have included an exponent of 2 on the 3

Step-by-step explanation:

The factor tree can be presented as follows;

                [tex]{}[/tex]                                90

[tex]{}[/tex]                                                  ↓

[tex]{}[/tex]                                     9          ↔            10

[tex]{}[/tex]                                     ↓                           ↓

[tex]{}[/tex]                                3  ↔  3                  2  ↔  5

Therefore, the prime factorization of 90 is equal to 90 = 3 × 3 × 2 × 5

She should have wrote, 90 = 3² × 2 × 5

Therefore, the error is that she should have included an exponent of 2 on the 3.

Answer:

B

✔ She should have included an exponent of 2 on the 3.

Step-by-step explanation:

E2021

Answer:

plotting x = 2

see the x- axis look for the point x = 2(on right side of the origin ). Mark that point and draw a straight line parallel to the y- axis.

This is the graph of x = 2

plotting y = -4

see the y- axis and then look for the point y= -4 (that must be 4 units below the origin). Mark that point and draw a straight line parallel to the x- axis.

This is the graph of y = -4

we see that, the graph x = 2 is parallel to the y-axis whereas the graph y = -4 is parallel to the x- axis.

Answer:

i guess it is "not enough information"

Answer:

1/4, 1/2 and 1/3

Step-by-step explanation:

Rational numbers are numbers that can be expressed in the form a/b

So for ease of answering, we can just select values closer to the extremes given

so we can have 1/4, 1/2 and 1/3

These three numbers are all greater than the minimum extreme (-2/3) and less than the maximum extreme

Answer:

C

Step-by-step explanation:

Cause C met the rules of scientific notation which is:

Answer:

total 66$

Step-by-step explanation:

let price of bro s be x and pencil be y

according to Qn

at 1 cond

3x+4=30____(1)

2x+5y=27____(2)

solve botth and get value of each bros and pencil and then at last add,30$,27$,6$,3$

Answer:

57

Step-by-step explanation:

Step-by-step explanation:

I don't know what your teacher wants to hear here.

can you use and construct certain angles (particularly 90 degrees), can you use compasses ?

for me the best way would be to draw one side as given. then use compasses and draw a half-circle from each end point of the line above the line. both circles have the radius = the given diameter.

then draw the next 2 sides of the square up from the end points of the first line towards the half-circle that was drawn from the other point, so that the end point is exactly on the circle bow. and then connect the engaging endpoints of these 2 sides.

similar for the rectangle.

the only difference is that now for the two sides (which we don't know the length) we need to go up exactly 90 degrees until the lines hit the half-circles.

Answer:

25151/100000

Step-by-step explanation:

Answer:

y = -x -2

Step-by-step explanation:

Slope = -1

y intercept is -2

Slope = [tex]\frac{-4-1}{2-(-3) }[/tex] = [tex]\frac{-5}{5}[/tex] = -1

[tex]x = 5 \: and \: y = 1.[/tex]

Step-by-step explanation:

[tex]7x + 4y = 39 \: - {eq}^{n} (1)[/tex]

[tex]2x + 4y = 14 \: \: - {eq}^{n} (2)[/tex]

Multiply Equation no (1) with 2 and Equation no (2) with 7.

[tex]14 x + 8y = 78.[/tex]

[tex]14x + 28y = 98.[/tex]

[tex]( - ) \: \: \: ( - ) \: \: \: ( - )[/tex]

[tex]0x + -20y = - 20[/tex]

[tex] - 20y = - 20[/tex]

[tex]y = \frac{ - 20}{ - 20} [/tex]

[tex]y = 1[/tex]

Substitute the value of "y" in Equation no (1)

[tex]7x + 4y = 39.[/tex]

[tex]7x + 4(1) = 39.[/tex]

[tex]7x + 4 = 39.[/tex]

[tex]7x = 39 - 4[/tex]

[tex]7x = 35.[/tex]

[tex]x = \frac{35}{7} [/tex]

[tex]x = 5.[/tex]

Answer:

[tex] \:   7x+4y=39 2x+4y=14 A. 5,4 B. 3,2 C. 5,1 D.[/tex]

Hope it helps

GCF=4

4(4x^2/4+-28x/4+-32f/4)

=4(x^2-7x-8f)

Hello,

[tex]4x^2-28x-32\\\\=4(x^2-7x-8)\\\\=4(x^2-8x+x-8)\\\\=4[x(x-8)+1(x-8)]\\\\=4(x-8)(x+1)\\[/tex]

[tex]\displaystyle\bf 2x=84\\\\x=84:2=42\\\\\boxed{x=42}[/tex]