Mathematics High School

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

Help plssssss it due today

Answers

Answer:

Step-by-step explanation:

If I am correct the answer is c

**** i'll give brainliest to whoever answers this correctly ! ****

TRIGONOMETRY, USE SINE LAW, SHOW WORK !! PLEASE HELP i've been trying to finish this assignment all day.

Answers

See attached photo. Hope this helps!

What value of x will make the equation below true?
х/6=15

Answers

Answer:

x+90

90/6=15

15=15

Step-by-step explanation:

x= 90 because you have to multiply both sides by 6. (x/6 times (6) = (15) times (6) hope this helps!! <3

When Javier is 2, Arianna is 5. When Javier is 3, Arianna is 6.
When Javier is 8, Arianna will be 11. When Javier is 20, Arianna is 23.
Complete the table. Circle the letter of the equation that relates the age
of Arianna, y, to the age of Javier, x.

Answers

Answer:

Step-by-step explanation:

Arianna will always be 3 years older than Javier no matter how old he gets.

The table is given below.

The equation that relates the age of Arianna y to the age of Javier x is

y = x + 3

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

We can use the given information to complete the table as follows:

Javier(x) Arianna (y)

2 5

3 6

8 11

20 23

Now,

The equation that relates the age of Arianna, y, to the age of Javier, x.

We have,

y = mx + b, where m is the slope and b is the y-intercept.

We can use the first two points (2, 5) and (3, 6) to find the slope.

m = (6 - 5)/(3 - 2)

m = 1

Now,

The y-intercept,

(2, 5) = (x, y)

y = mx + b

5 = 1(2) + b

b = 3

Therefore,

The equation that relates the age of Arianna y to the age of Javier x is

y = x + 3

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

Carter has a pool that can hold a maximum of 450 gallons of water. The pool already contains 150 gallons of water. Carter begins to add water at a rate of 8 gallons per minute. He wants to know how many minutes he needs to reach its maximum capacity. Let m represent the number of minutes. almost forgot:
Write an inequality that represents this problem.

Answers

450-150=300
300 divided by 8= m
M= 37.5 minutes

The coordinates of L and M are (3, 6) and (9, 8) respectively. X is the mid-point of LM, determine the coordinate of the point X. *

Answers

The formula is (x1+x2)/2 will give you the x of the mid point.

(y1+y2)/2 will give you the y of the mid point.

So, (3+9)/2= 6
And (6+8)/2=7

The mid point is (6:7)

HELPPPPPPPPPPPPPPPPPP

Answers

Answer:

I think it's 72

Step-by-step explanation:

I hade add them

Da Baby has $45,000 and earns $2,500 each hour
from streams. JoJo Siwa has $62,000, earns $2,000
each hour from streams.
How
SI
Each equation represents the amount in the bank after
t hours.

Da Baby: s= 2,500t + 45,000
JoJo Siwa: s= = 2,000t + 62.000
How many hours, will it take for Da Baby and JoJo
Siwa to have the same amount in the bank?

Answers

Answer:

Step-by-step explanation:

maybe 30 vtfyubf6tyubtfcgnfgghghnvb ngvbhfhgbfvgn

A square fits exactly inside a circle with each of its vertices being on the circumference of the circle

Answers

Draw or sketch out any problems like this, otherwise they appear abstract.

A circle’s area can be calculated by (pi d^2)/4 We have an area of 56 cm (^2?), so

pi d^2 = 56 x 4 (or 224) d^2 = 224/pi, d = √(224/pi)

A circle circumscribed around a square has a diameter equivalent to the length of the square’s diagonal, so the square’s diagonal is √(224/pi) (same as the circle diameter…)

A square’s side can be calculated, knowing its diagonal length, by use of Pythagoras’ theorem… The diagonal √(224/pi) is squared, divided by two, since the square’s sides are all equal, and the resulting number’s square root is calculated.

Squaring √(224/pi), we get 224/pi, and dividing by two, we get 112/pi, which is 35.6507 (cm^2), and the square root is 5.9708 cm, the side of the square.

I cannot emphasize enough that a drawing or sketch is an invaluable tool for these tasks, it saves having to retain a “picture” in your head. Note that a calculator was not required up until the last moment, dividing 112 by pi, and finding the square root of that answer. Picking up the calculator too early obliges you to transcribe numbers from the calculator to paper, and that can lead to issues. Try to enjoy maths, see it as a challenge not a chore. (and use correct units!)
2.3K views
Related Questions (More Answers Below)

4= –6 + v

Help please

Answers

Answer:

to find V in this equation

4 = -6 + V

V = 10

hope it helps

Answer:

V would have to be equal to 10

Step-by-step explanation:

this is because you need something greater than 6 to get back to zero and then you need something to give you four more, so six plus four is equal to ten

how far is 18 from -14 on a number line

Answers

Answer:

Step-by-step explanation:

add the absolute value of -14 and 18

Alistair and Jason both deposited $500 into their bank accounts. Alistair earned 2.5% simple interest per year. Jason earned 4.5% simple interest per year. How much more did Jason receive in interest than Alistair after 4 years?

Answers

Answer:

$40

Step-by-step explanation:

The difference in interest amount is:

$500*4*(4.5 - 2.5)/100 = $40

Jason received $40 more than Alistair

What’s the first step in solving this equation?

2x+10=-8

Answers

Answer:

Pulling out the like terms

Step-by-step explanation:

Please help! I don't understand. view photo.

Answers

Answer:

Step-by-step explanation:

they are asking about the exponential

b/c it has a 3 in the exponent, it's a cubic and because it has two terms you can call it a binomial

Someone help ill give brainliest to the person with an right answer!!!!!

Answers

Answer:

Step-by-step explanation:

As it is said that they spent more than $15 then its inequality is

m > 15

DE is a midsegment of AABC. Find the value of x.
A
х
D
B
E
6
-
X=
please HELP 30 points

Answers

14 i believe, if it’s a mid segment then 7 is half of x.

Determine if the triangles are congruent. If they are, state why.

(look at the picture)

Answers

AAS should be the correct one, as the angles where they meet are the same, so it goes angle, angle, and then side for congruency.

chords!
please please please help me solve for x

Answers

Answer:

x = 3

Step-by-step explanation:

arc KP = 50 degrees

arc KRQ = 2(110) = 220 degrees

arc 30x = 360 - 220 - 50 = 90 degrees

30x = 90

x = 3

find the square root of 2.2 correct to two place of decimal

Answers

Answer:

1.48

Step-by-step explanation:

my calculator said sqrt(2.2)=1.48

Help with this question
Solve 5x/2 > 7

Answers

Answer:

x > [tex]\frac{14}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{5x}{2}[/tex] > 7 ( multiply both sides by 2 to clear the fraction )

5x > 14 ( divide both sides by 5 )

x > [tex]\frac{14}{5}[/tex]

Which is the better value? 12 bottles of juice for $15.00, or 18 bottles of juice for $23.04?

Answers

Second option sound way better!

Answer: it’s 1.25 for the first and 1.28 for the second so the first of 12 bottles 15$ Is the better value

Step-by-step explanation:

a square tablecloth is 160cm along each side. it hangs over the table edge 30cm on each side.
a) what is the area of the tablecloth?
b) what is the area of the table?

Answers

a) of those are the only 2 answers you can choose from

Find the area of the figure. (Sides meet at right angles.)

Answers

Answer: 37ft^2

Step-by-step explanation:

Create two separate figures. A full square 3x3 and a rectangle 7x4.

The 7ft line on the right minus 3 ft (because we are cutting out that section of the figure) = 4ft

Area of 3x3 square = 3^2 = 9ft^2

Area of 7x4 rectangle = 7x4 = 28ft^2

28+9= 37ft^2

a caterer charges a flat delivery fee and cost per sandwich ordered.the expression 5-+4.75x represent the equation.

Answers

Answer:

of a slope on a graph? if so I have the solution

Step-by-step explanation:

A. Ana bought a table having an area of
(x2 + 10x + 25)square meters. If the
table is a square, what is the measure
of its side?

Answers

Answer:

The side length of the table is x + 5

Step-by-step explanation:

To solve this, you need only take the square root of the area:

[tex]\sqrt{x^2 + 10x + 25}\\= \sqrt{(x + 5)^2}\\= x + 5[/tex]

So the side length of the table is x + 5

solve for x
solve for x

Answers

Answer:

x = 18

Step-by-step explanation:

Total interior angle of pentagon: 540 degrees

(3x + 23) + (9x - 6) + 95 + 90 + (7x - 4) = 540

19x + 23 - 6 + 95 + 90 - 4 = 540

19x + 17 + 95 + 90 - 4 = 540

19x + 13 + 185 = 540

19x + 198 = 540

19x = 342

x = 18

Answer:

its 18

Step-by-step explanation:

Lin had $20. She earned $14 babysitting, then she spent $7 on food, then spent
$22 on a concert ticket. How much money does she have now?

Answers

Answer:

Step-by-step explanation:

20+14-7-22 that is how i got 5 .

write an expression thats is equivalent to 8(a+5)

Answers

Answer:

8a+40

Step-by-step explanation:

8(a+5)

Distribute the (8) by multiplying it by the (a) and the (5).

Answer the photo below
Answer in detail
TY

Answers

To find the area of said parallelogram you use the equation A=b*h then you plug in the numbers A=24*8 which ultimately gives you A=192cm^2

The sum of two nonnegative numbers is 50. What is the maximum value of the product of these two numbers ?

Answers

Answer:

625

Step-by-step explanation:

Let two number be x and (50-x).

The product of numbers be x(50-x).

P = 50x-x²

For maximizing the product,

[tex]\dfrac{dP}{dx}=0\\\\\dfrac{d}{dx}(50x-x^2)=0\\\\50-2x=0\\\\50=2x\\\\x=25[/tex]

So, the maximum product, P = 50(25)-(25)²

P = 625

Hence, the maximum value of the product of these two numbers is 625.

Other Questions

which cell organelle is the site of cellular respiration in most types of living things? Can someone please help me graph y= -2x+7 Use similar triangles EFG and IHG to find the missing distance d the powers of the united states federal government are given to them by the____________ConstitutionBill of rights Electoral college Charter of rights and freedoms Last month,Marco's neighbors paid him to take care of their fish when they went on vacation. He spent $5 on his earnings on an after snack and $16 on a new book. Afterward,he had no more then $9 left. How can you beat describe how much Marco's neighbors paid him? What type of pathogen is salmonella NEED BEFORE MONDAY!!!!!!!!!!Midsummer Night Dream: Act 21. The fairies speak very poetically. Which image or images presented by the fairies do you remember the best? What about it was significant?2. Why does Oberon want Titania to wake and fall in love with some vile thing? What does this say about his character?3. Explain Hermias dream and why it might be significant later in the play.4. Describe the character of Puck. What was one thing you liked that he did? What was one thing you didnt like? Does he take responsibility for his actions? Explain. What was an important cause of the "Era of Good Feeling"? help with both please Carlos walked 10 miles at an angle of 20 north of due east. To the nearest hundredth of a mile, how Far East, X, is Carlos from his starting point? PLZZZZZ HELP MEH!!!!!Which structure mainly functions in intracellular transport?a. Centrioleb. Endoplasmic reticulumc. Vacuoled. Lysosome Write this in order: (greatest to least:)112 , 100.789 , 101.89 , 101.9 , 190. 1 What are some of the difficulties John Adams faced as president?a.territory disputes with England and "inventing" the presidencyb.problems with Spain and trade disputes with Russia c.possible war with England and fighting between political partiesd.conducting a census and problems with selecting a new capital Sharon was born in Georgia and is 20 years old. She currently lives in Alabama, but plans on moving back to Georgia soon. She has never committed a crime. If she tries to register to vote for an upcoming election in Georgia, what will be the outcome? choose the correct answer 1 1/12 - 7/10 greater than half or less than half Why would sole proprietors organize their businesses as LLC? A Group of answer choicesB To hire better managersC To reduce their financial liabilityD To increase the risk their business facesE To avoid double taxation Calculate the number of moles of gas that occupy a 16L container at a pressure of 3 atm and a temperature of 48oC Given arectangle of area 18x2 - 42x, the length is 6x, determine the width. HELP Please as soon as possible. This is due in twenty Mins!At the restaurant where you are a manager, the corporate partners have ordered that all tabletops be resurfaced with new laminate tops. The restaurant has 24 tables, each with triangular-shaped tops. The base of each triangle is 2.5 feet, and the height is 4.8 feet. What is the total area, in square feet, of laminate needed for the 24 tables? How many moles of gas are contained in a 50.0 L cylinder at a pressure of 100.0 atm and a temperature of 35.0C?