At a day care center for toddles there is one
teacher for every 7 toddlers. Determine
whether there is a direct variation between
the number of toddlers, y, and the number of
teachers, x. If so, find the equation of direct
variation.

Answers

Answer 1

Answer: x = 7y.

Step-by-step explanation: There is direct variation between the number of toddlers and the number of teachers. We know this because when one increases, the other would as well. We can write the equation of direct variation as x = 7y.

Answer 2
Yes there is a direct variation between the number of toddlers and the number of teachers.

If there is one teacher(x) for every 7 students(y)

The equation would be,

x = 7y

Related Questions

Madison is starting her own sewing business. Madison thinks she will do a better job than her competitors, so she thinks she can charge $13.63 per hour. If she knows she will only be able to work 50 hours per week, how much money will she earn each week?

Answers

Answer:

$681.50

Step-by-step explanation:

$13.63 x 50 = $ 681.50

What is the answer to this? Please send help

Answers

Step-by-step explanation:

steps are in the picture.

Note:if you need to ask any question please let me know.

combine like terms and simplify. 7(3y-5)-2(10+4y)

Answers

Answer: 13y - 55

Step-by-step explanation:

Given

7 (3y - 5) - 2 (10 + 4y)

Expand parentheses and apply the distributive property

=7 · 3y - 7 · 5 - 2 · 10 - 2 · 4y

=21 y - 35 - 20 - 8y

Move like terms together

=21y - 8y - 35 - 20

Combine like terms

=13y - 55

Hope this helps!! :)

Please let me know if you have any questions

Prove that √(3*5^-3) ÷ 3√(3^-1*5) * 6√(3*5^5) = 3÷5​

Answers

Answer:

it dose

Step-by-step explanation:

i use my brain to the problem

Find the H.C.F of 32, 48 and 64​

Answers

Answer:

Step-by-step explanation:

Factor into primes

32: 2*2*2*2*2

48: 2*2*2*2*3

64: 2*2*2*2*2*2

The highest common factor is 2*2*2*2 = 16

helpppppp me please i need help

Answers

I think it is the 2 one hopefully it helps

Answer:

2nd one?

Step-by-step explanation:

Have a good day

-Bradi

2. The cost of a badger is b pence. A raccoon is 5 pence more expensive than a badger and a beaver three times as expensive as a badger.

a) What is the cost of a raccoon?
b) What is the cost of the beaver?
c) What is the total cost of a raccoon and 8 beavers?

Answers

Answer:

A. b+5

B.3(b+5)

C.b+5+8b=9b+5

Step-by-step explanation:

A rectangle has an area of 48cm^2 & a perimeter of 38cm. What are the dimensions of the rectangle?
(If you can answer this, I'll give u Brainliest :])

Answers

C............... .......

Answer:

10 is your answer

Step-by-step explanation:

I would love brainliest, thanks!

What is the value of the product (3-2i)(3+2i)?

Answers

Answer:

13

Step-by-step explanation:

9-(4i)^2 is the answer

Can somebody give me the answer?

Answers

Answer:

200

Step-by-step explanation:

1inch=50miles

Now the distance between two places are 4 inches:

1 *4 inches = 50*4 miles

4inches= 200miles

Need awnsers please

Answers

Answer:

<C+83=90 [ sum of complementary angles ]

<C=90-83

<C=7

Now,

<C+83=180 [ sum of supplementary angles ]

<C=180-83

<C=97

solve this problem I am not able to solve this please help me

Answers

Answer:

4/5

Step-by-step explanation:

What a unique handwriting you have there. Anyways for this types of questions you just have to imagine a right-angled triangle and write down the values and an angle (2A).

First, to find height of the triangle, you can try using Pythagorean theorem, √(5²-3²) and you'll get the value 4.

Remember the formula,

sin a = opposite/hypothenuse.

Substitute the values in,

sin 2A = 4/5

multiply (2x+5) (2x-3)

(x-4) (3x²+5x+2)​

Answers

Answer:

[tex]thank \: you[/tex]

Rationalize the denominator 2/root 3 - 1​

Answers

Answer:

Step-by-step explanation:

[tex] \frac{2}{ \sqrt{3} - 1 } \\ \frac{2}{ \sqrt{3 } - 1} \times \frac{ \sqrt{3} + 1}{ \sqrt{3} + 1} \\ \frac{2 \times ( \sqrt{3} + 1)}{( \sqrt{3} - 1)( \sqrt{3 } + 1) } = \frac{2 \sqrt{3} + 2}{( \sqrt{3} )^{2} - {1}^{2} } \\ \frac{2 \sqrt{3} + 2 }{3 - 1} = \frac{2 \sqrt{3} + 2 }{2} = \frac{2( \sqrt{3} + 1)}{2} \\ \sqrt{3 } + 1 = 1.732 +1 = 2.732[/tex]

Or

[tex] \frac{2}{ \sqrt{3 - 1} } \\ \frac{2}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } = \frac{2 \sqrt{2} }{( \sqrt{2} ) ^{2} } = \frac{2 \sqrt{2} }{2} \\ \sqrt{2} = 1.4142[/tex]

I hope I helped you^_^

Find an equation of the line that passes through the given point and has the indicated slope m. Point Slope (- 5, - 7); m = 1/3

Answers

Answer:

y + 7 = 1/3 (x + 5)

Step-by-step explanation:

The format for writing a point-slope equation is:  y - y1 = m(x - x1).

Step-by-step explanation:

[tex]y - y1 = m(x - x1)[/tex]

where, m = 1/3, x1 = -5 and y1 = -7

[tex]y -( - 7) = \frac{1}{3} (x - ( - 5))[/tex]

[tex]y + 7 = \frac{1}{3} (x + 5)[/tex]

[tex]y = \frac{1}{3} x + \frac{5}{3} + 7[/tex]

[tex]y = \frac{1}{3} x + \frac{26}{3} [/tex]

[tex]y = \frac{1}{3} (x + 26)[/tex]

In a survey, 250 people were asked if they smoke…..

Answers

Answer:

90%

Step-by-step explanation:

22%

Given the equation 5x + 23 = - 2x - 12, which order of operations completely solves for x? (1 point)
O Add 2x, then subtrost 23, lastly divide by - 7
Subtract 2x, then add -23, lastly divide by 7
O
Subtract 5x, then add 12, lastly divide by 7
Subtract 5x, then add 12, lastly divide by - 7
4.(01.02)

Answers

Answer:

-5

Step-by-step explanation:

5x+23= -2x-12

Add 2x to the other side

7x+23= -12

Subtract 23 from the other side

7x= -35

Divide 7 from the other side

x= -5

A truck can be rented from Company A for ​$140 a day plus ​$0.80 per mile. Company B charges ​$80 a day plus ​$0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

600 miles in a day.

Step-by-step explanation:

Variable x = number of miles

Company A: 140 + 0.80x

Company B: 80 + 0.90x

Set up an equation:

140 + 0.80x = 80 + 0.90x

Isolate variable x:

60 + 0.80x = 0.90x

60 = 0.10x

600 = x

Check your work:

140 + 0.80(600) = 80 + 0.90(600)

140 + 480 = 80 + 540

620 = 620

Correct!

x^2-2x/2x^2+8 - 2x^2/8-4x+2x^2-x^3

Answers

Answer:

[tex]-2x^3+\frac{11}{4} x^2 - 4x +8[/tex]

The common ratio of the geometric sequence -14,-84,-504

Answers

A common ratio is basically a ratio of next sequence and the sequence you want

To find a common ratio of geometric sequence, we usually define 'r' as common ratio.

[tex] \displaystyle \large \tt{r = \frac{next \: \: sequence}{the \: \: sequence \: \: you \: \: want} }[/tex]

For example, I want to focus on -14 and the next sequence would be -84.

Hence,

[tex] \displaystyle \large{r = \frac{ - 84}{ - 14} }[/tex]

Thus, r is 6 because both numerator and denominator are negative. negative divides negative = positive.

Or you want to choose -84, then the next sequence would be -504.

[tex] \displaystyle \large{r = \frac{ - 504}{ - 84} }[/tex]

Then r would still be 6. Since both ways have r as 6 and this proves that the sequence is geometric.

Hence, the common ratio is 6.

f(4) =

If g(x) = 2, x =

Answers

Answer:

f(4)=-10

x=0 if g(x)=2

i hope you will understand it

Cathy are in $16 per day how much will she have at the end of 64 days

Answers

Answer:

1024

Step-by-step explanation:

multiply 16 by 64

how are 1/4 of 12 and 12 divided by 4 related????

Answers

Both expressions are related because 12 divided by 4 equals to 3, and 1/4 of 12 equals to 3 too.

Answer:

they are related because both of the equation equal to 3

I WILL MARK YOU BRAINLIEST PLEASE !!!!
find the coordinates M after a dilation about the origin of 2 write your answer in the form (a,b)​

Answers

Answer:

B

Step-by-step explanation:

Answer: Choice B.  (0,4)

Explanation:

Point M is at (0,2). We multiply each coordinate by the scale factor 2 to get (0,4) which is the location of M'

This trick only works if the center of dilation is the origin.

What are the names of three collinear points?

A parallelogram is shown with point upper J at its center. Ray upper J upper K is drawn horizontally to the right. Ray upper J upper L is drawn horizontally to the left. Points upper A and upper D are located inside the parallelogram above point J. Point upper B is located inside the parallelogram below point J. (1 point)
Points D, J, and K are collinear.
Points A, J, and B are collinear.
Points D, J, and B are collinear.
Points L, J, and K are collinear.

Answers

Answer:

L,J, and K are collinear

Step-by-step explanation:

409 into binary number​

Answers

Answer:

110011001 is the binary equivalent of the number 409

Which statements are true about trapezoid ABCD and its translated image, A'B'C'D'? Select two options.

The rule for the translation can be written as T–3, 1(x, y).
The rule for the translation can be written as T–1, 3(x, y).
The rule for the translation can be written as
(x, y) → (x + 1, y – 3).
The rule for the translation can be written as
(x, y) → (x – 3, y + 1).
Trapezoid ABCD has been translated 3 units to the right and 1 unit up.

Answers

Answer:

The rule for the translation can be written as T–3, 1(x, y).

The rule for the translation can be written as

(x, y) → (x – 3, y + 1).

Step-by-step explanation:

Got it right on Edge

what is -5x-x?
thank you!

Answers

Answer:

-5x-x=-6x

hope this helps you

Answer:

-6x

Step-by-step explanation:

-5x-x

add like terms

-6x

2 1/3 + 6 3/5



Adding the fraction

Answers

The answer is 8 14/15

please help easy maths

Answers

Answer:

option D

Step-by-step explanation:

y-intercept=-8

point(0,-8)

m=4

Using point slope form:

y-y1=m(x-x1)

y-(-8)=4(x-0)

y+8=4x

y=4x-8

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