A preschool has a student to teacher ratio of 5:2 The total number of students and teachers was 56 last year and is 70 this year How many students and teachers were there for each of the two years

Answers

Answer 1

Answer:

Step-by-step explanation:

Student : teacher = 5 : 2

Number of students = 5x

Number of teachers = 2x

Last year:

Last year Total  = 56

5x+  2x = 56

       7x = 56

        x = 56/7

x = 8

Number of students = 5*8 = 40

Number of teachers = 2*8 = 16

This year:Total = 70

5x + 2x = 70

       7x = 70

        x = 70/7

x = 10

Number of students = 5*10 = 50

Number of teachers = 2*10 = 20


Related Questions

Is 5 a solution to 4 + x = 6 ? Why or why not?

Answers

Answer:

no

Step-by-step explanation:

x has to be 2 because 4+2=6

Answer:

no, because 4 + 5 = 9 not 6.

Step-by-step explanation:

the only way for this equation to be true is if x = 2.

Simplify: 4 [ 2+ 1 ( 47 - 5 ) ÷ 7 ]
pls help asap ! ty !

Answers

32 and it would be useful to use pemdas

need answer. pls help ​

Answers

Answer: 28 degrees

Step-by-step explanation:

Since angle KJL = LJM then that means angle 7x=3x+16

First we need to solve for x

7x=3x+16

4x=16

x=4

now we can input it into either equation to solve for the angle KJL

7(4)= 28 so the angle is 28 degrees

A student is solving the equation
4
(
x

5
)
=

6
x

7
+
2
. Which describes a first step the student could use to solve the equation correctly?

Answers

first option.

you should usually distribute first. 4 times x would be 4x, and 4 times -5 is -20.

Answer:

4(x−5)=−6x−7+2

first step open bracket and add or subtract no.

4x-20=-6x-5

put common in each side

4x+6x=-5+20

10x=15

x=15/10=3/2

first one is your answer

A new Playstation game system costs $380. The tax on the system is 4%. What is the total cost of the system including tax? *

Answers

Answer:

395.2

Step-by-step explanation:

380 x 0.04 = 15.2

380 + 15.2 = 395.2

Answer:

The cost of the system including the tax is $395.20.

Step-by-step explanation:

If the tax is 4% that means that the total price will equal...

380 + (380)(0.04) = $395.20

Therefore the cost of the system including the tax will be $395.20.

please answer this, I really need help​

Answers

Answer:

????? I am only in first grade

Step-by-step explanation:

???????

Carol sliced a lemon into circular pieces to put in a bowl of punch. The piece above has a radius of 2.5cm.


I’ll get you a lot of points if you answer this!!

Answers

Answer:π(2.5)

Step-by-step explanation:

π(2.5)

find the height of the triangle
8in 6in
h=

Answers

Answer:

[tex]\sqrt{55}[/tex]in.

Step-by-step explanation:

8²=3²+h²(BY P.T)

h=[tex]\sqrt{8^{2}-3^{2} }[/tex]

h=[tex]\sqrt{55}[/tex]

I need help plz this is hard​

Answers

Answer:

99 inches

Step-by-step explanation:

9*11 =99

99 inches cause you multiply 9 and 11 which is the area of the base

GIVING BRAINLIEST Find the surface area of the net below

Answers

Answer:

119

Step-by-step explanation:

1/2x5x7x4+7x7

can I have the brainliest ?

Answer:

119 m

Step-by-step explanation:

First find the square 7x7 = 49m

Now the triangle [tex]\frac{5 * 7}{2}[/tex] = 17 .5

17.5 * 4 = 70m

70m + 49m = 119m

PLEASE HELP NOW!!!!!!!

Answers

Answer: BC

Step-by-step explanation:

I know this because i did this one before your welcome

HELPP Which equation is related to Vx+10-1-x?
O
x + 10 = x2 + x + 1
O x + 10 = x2 + 2x + 1
O x + 10 = x2 + 1
O x + 10 = x2-1

Answers

Answer:x + 10 = x2 + 2x + 1 x + 10 = x2 + 1 x + 10 = x2 – 1.

Step-by-step explanation:

The solution is, x+10 = x^2 + 2x + 1 is the equation is related to

√x+10  - 1 = x.

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

the equation is,

√x+10  - 1 = x

or, √x+10 = x+1

now, taking square on both side, we get,

x+10 = (x+1)^2

we have,

(a+b)^2 = a^2 + 2ab + b^2

so, applying that, we get,

x+10 = x^2 + 2x + 1

Hence, The solution is, x+10 = x^2 + 2x + 1 is the equation is related to √x+10  - 1 = x.

To learn more on simplification click:

brainly.com/question/28996879

#SPJ7

I need help with this question ​

Answers

what question?????????????????

bae what’s the question


8. Is the discriminant positive, negative, or zero?

Answers

I think the answer would be negative. I’m sorry if I’m wrong

Answer: its positive !!!

Step-by-step explanation: got it wrong at first:(

In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=84°, and OP = 2.9 feet. Find the length of PQ to the nearest tenth of a foot.

Answers

Answer:

x=2.8841≈2.9 feet

Step-by-step explanation:

What is the inverse of the function

Answers

Answer:

second option

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = x - 9 ( add 9 to both sides

y + 9 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = x + 9

What is the GCF?
6x² + 24x

Answers

Answer:

6x

6x(x + 4)

Step-by-step explanation:

Both 6x^2 and 24x are divisible by 6x

If my radius is 10ft, what is my diameter?

Answers

Answer:

31.42 ft.

I dont know if this answer is fully correct because i hate doing circles so sorry if im wrong

Step-by-step explanation:

Answer:

20 is your diameter

Step-by-step explanation:

radius is half of a diameter

my question is in the image

Answers

Answer:

13.2 miles

Step-by-step explanation:

To solve this, we will need to first solve for the base of the triangle and then use the information we find to solve for the shortest route.

(5.5 + 3.5)² + b² = 15²

9² + b² = 15²

81 + b² = 225

b² = 144

b = 12

Now that we know that the base is 12 miles, we can use that and the 5.5 miles in between Adamsburg and Chenoa to find the shortest route (hypotenuse).

5.5² + 12² = c²

30.25 + 144 = c²

174.25 = c²

13.2 ≈ c

Therefore, the shortest route from Chenoa to Robertsville is about 13.2 miles.

find l of the following cone ​

Answers

Answer and Step-by-step explanation:

Pythagorean theorem

Half of 4 is 2.

2^2 + 9^2 = l^2

4 + 81 = l^2

Square root of 85 = l

#teamtrees #PAW (Plant And Water)

So uh- here we are again

Answers

the correct answer is 1/6

Answer:

1/6

Step-by-step explanation:

When subtracting or adding fractions, you always want the denominator (aka the bottom number of the fraction) to be the same number. Since both of your denominators are both the same, we can subtract!

                                                 2/6 - 1/6 = 1/6

Remember that you don't subtract the bottom, just the top. Hope this helped :)

Evaluate the expression when m = 5n = -2 and p= 10 p/m-n​

Answers

Answer:

10/7

Step-by-step explanation:

plug in the numbers to get 10/5--2 or 10/5+2

Rapid Rental Car charges a $55 rental fee, $20 for gas, and $0.65 per mile driven. For the same car, Capital Cars charges $55 for rental and gas and $0.75 per mile.

Answers

Answer:

200 miles

Step-by-step explanation:

Given data

Rapid Rental Car

charges a $55 rental fee

$20 for gas, and

$0.65 per mile driven

let the number of miles be x, the total charges y

y=55+20+0.65x

y= 75+0.65x----------1

Capital Cars

charges $55 for rental and gas and

$0.75 per mile.

let the number of miles be x, the total charges y

y=55+0.75x

y= 55+0.75x----------2

Required

The number of miles driven before the two Rental companies charge the same amount

equate 1 and 2

75+0.65x= 55+0.75x

collect like terms

75-55= 0.75x-0.65x

20= 0.1x

x= 20/0.1

x= 200miles

Hence the distance will be 200 miles for the charges to be the same

A popular smartphone costs about $357.50 to
make. The company sells the phone at a 64%
markup. What is the sale price for this phone?

Answers

Step-by-step explanation:

first you find 60% of 357.50 which is $214.50. Next you would add $357.50+214.50=572

so the awnser is

the sale price of a popular smart phone is $572.

Hope this helps!!

Which functions are linear Select all that applies A) s=4r - 2 B) s=r + 10 C) s= 9r - 7 D) s=6r + 6

Answers

Step-by-step explanation:

The graph of  linear function is a straight line.

General form of the linear function is -

y = a + bx

where a is the y -intercept and b is the slope.

Both  a and b are constants.

Here,

x is independent variable whereas y is dependent variable.

For example -

y = 2x + 15

The diagram shows triangle ABC. Calculate the length of AC

Answers

Given:

In triangle ABC, AB=8.2 cm, C=13.5 cm and angle A= 81 degrees.

To find:

The length of AC.

Solution:

According to the Law of Sines:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

Using Law of Sines, we get

[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c}[/tex]

[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin C}{8.2}[/tex]

[tex]\dfrac{\sin (81^\circ)\times 8.2}{13.50}=\sin C[/tex]

[tex]\sin^{-1}\dfrac{\sin (81^\circ)\times 8.2}{13.50}= C[/tex]

[tex]C\approx 36.86^\circ[/tex]

Using angle sum property, we get

[tex]\angle A+\angle B+\angle C=180^\circ[/tex]

[tex]81^\circ+\angle B+36.86^\circ=180^\circ[/tex]

[tex] \angle B =180^\circ-81^\circ-36.86^\circ [/tex]

[tex] \angle B =62.14^\circ [/tex]

Now,

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]

[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin (62.14^\circ)}{b}[/tex]

[tex]b=\dfrac{13.50\times \sin (62.14^\circ)}{\sin (81^\circ)}[/tex]

[tex]b\approx 12.08[/tex]

Therefore, the length of AC is 12.08 cm.

Evaluate
expression 4+5.23 + 3 =​

Answers

Answer:

12.23

Step-by-step explanation:

4+5.23 = 9.23

9.23 + 3 = 12.23

Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a weird website.​

Answers

Casually puts a link to a weird website..

https://theuselessweb.com

*whistles*

Answer:

there is no solution-

Step-by-step explanation:

there's no solution because its impossible for a to have 2 different values; you see that 0.1 and 0.01 are not equal, therefore a can not be equal,, otherwise the equation would be false

PLEASE HELP PRE ALGEBRA EASY 10 POINTS

Answers

What I’m support to fine it in the graph or find the slop, solve for x or y???? Put the whole question so I can help you

Solve. A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 6 mugs with coffee, how many total quarts of coffee does she need?

Answers

Answer: 3 quarts of coffee.

Step-by-step explanation:

A coffee mug can take 16 fluid ounces.

Annie needs to fill up 6 mugs so the total ounces needed for 6 mugs would be:

= 16 * 6

= 96 fluid ounces

As the answer needs to be in quarts, convert the above.

1 quart = 32 fluid ounces

96 fluid ounces = 96/32

= 3 quarts

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