sara nick and robin were collecting cans for a recycling project . sara collected 5 times as many cans as robin . nick collected 6 times as many cans as robin . the 3 children collected a total 216 cans . how many cans did they each collect?

Answers

Answer 1
r = robins cans
s = sara's cans
n = nick's cans
T = total cans

s = 5r
n = 6r
T = 216 = s + r + n

we sub in the first two equations into the first

216 = 5r + 6r + r
216 = 12r
r = 18
sub this back into equations 1 and 2

thus

r = 18
s = 90
n = 108

Related Questions

ms nickel has a jar of candy on her desk.jessica thinks there are 3,498 piece of candy in the jar there are actually 4,182 pieces.what is the difference between jessica's guess and the actual number of pieces of candy?

Answers

This is quite easy. So we know that difference is a key word to subtract. So this means we need to subtract 3,498 from 4,182. 4,182 - 3,498 is 684. Let's put it like this:
The difference between Jessica's guess and the actual amount of candy in the jar is 684 pieces off from the actual amount.
Hope this helped! :)

your grandmother gave you $10 with which to buy a present. this coverd 2/5 of the cost. how much did the present cost?

Answers

The present costs $25.
10 is the part but you are looking for the whole so set up a ratio

10/x=2/5 

10 part x is whole 
2 is part 5 is whole
now cross multiply the numerator 10 by the denominator 5 10x5=50 now divide 50/2 (the 50 you got by the numerator)

25 is the present's cost 

Find the negative square root of 49. (4 points)
Select one:
a. ±7
b. 7
c. −7
d. 24.5

Answers

the answer is c. -7 because when you multiply two negatives together you get a positive answer

The negative square root of 49 is -7.

Option C is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

2² + 4 i s an expression.

3² + 4³ + 3³ is an expression.

3 + 4 x 5 + 4³ is an expression.

We have,

-√49

7 x 7 = 49

Make an exponent of base 7.

7² = 49

So,

-√49

= -√7²

Square root and exponent 2 get canceled.

= -7

Thus,

The negative square root of 49 is -7.

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The ratio of the angle measures of the acute angles in a right angle is 2:3. Find the measures of the acute angles.

Answers

right angle = 90
2 acute angles in right triangle, sum = 90

ration 2:3 
so 2+3 = 5

90 / 5 = 18

2 x 18 = 36
3 x 18 = 54

so 2:3 = 36:54

answer
 the measures of the acute angles are 36 and 54


Write 2 subtraction equations to show how to find 15-7

Answers

Answer:

15-7=8

Step-by-step explanation:

just take away 7 from 15.

The price of a gallon of unleaded gas has dropped to $2.83 today. Yesterday's price was $2.90 . Find the percentage decrease. Round your answer to the nearest tenth of a percent.

Answers

0.9%
round up to 1.0%

Answer:

The answer is 2.4%

Step-by-step explanation:

Between 20 and 28 students signed up for the chess club.

The students could not be divided exactly into groups of 2,3,4 or 5. How many

students signed up for the chess club?

Show your work.

Answers

First, we find the possible candidates. Since the # can not be divisible by 2, there are no even # possibilities. This leaves 21. 23. 25. and 27. Since the # is not divisible by 3, that leaves the possibilities 23. and 25. 25 is divisible by 5, leaving the answer 23. To add on, 23 is not divisible by 4, assuring that it is correct.
23 people signed up for the chess club.
Hope this Helped

Is 70 thousand written in standard form or word form ? Explain

Answers

It's kind of both because word form would be Seventy thousand and standard form would be 70,000.
Standard Form. This is the answer because if you know what word form is, it is basically a number that is written in letters. Standard Form is like saying the actual number. Thanks! Brainly Team 

you want to buy a bouquet of yellow roses and baby's breath for $16.the baby's breath costs $3.50 per bunch,and the roses cost $2.50 each.you want one bunch of baby's breath and some roses for your bouquet.how many roses can you buy?

Answers

After subtracting the cost of one bunch of baby's breath ($3.50) from the total budget ($16), you have $12.50 left for the roses. Since each rose costs $2.50, you can buy 5 roses to complete your bouquet within the budget.

To calculate the number of roses that can be bought, first, we need to subtract the cost of one bunch of baby's breath from the total budget for the bouquet. The cost of one bunch of baby's breath is $3.50. With a total budget of $16, we subtract the cost of baby's breath to see how much is left for the roses:

$16.00 - $3.50 = $12.50

Since each rose costs $2.50, we will divide the remaining budget by the cost of each rose to find out the number of roses that can be purchased:

$12.50 / $2.50 = 5 roses

Therefore, you can buy 5 roses along with one bunch of baby's breath to make up your $16 bouquet.

If there are 3 1/2 pies for 16 people, how many pies will there be for 64 people?

Answers

I believe 14 because 16x4=64 so 3 1/2x4=14

Express each decimal as a fraction or a mixed number in simplest form. 0.2727272727

Answers

The answer for this one is 3/11.

*If you need an explanation, leave a comment down below, and I will give you the explanation.

3(x-y+5) ??????????!?????

Answers

Hi there!

[tex]#3(x - y + 5) Distribute =(3)(x) + (3)(-y) + (3)(5) = 3x - 3y + 15 I hope my answer helps! [/tex]

The expression below shows the population of squirrels in a forest after 3x years: f(x) = 30(1.03)3x Which of the following is an equivalent function?

Answers

the population of squirrels in a forest after 3x years: f(x) = 30(1.03)3x
By multiplying 1.03 with 3 will make it 3.0900.This will not effect the parent function and thus the equivalent expression for the given function will be f(x) = 30(3.0900)x
f(x) = 30(1.03)3x ====> f(x) = 30(3.0900)x

Given a = -3, b = 5, and c = -8, then a 2 b + c is _____.

I thought it was -53 after doing PEMDAS, but I got it wrong. Any help would be appreciated!

Answers

(-3)^2=9
9(5)=45
45-8= 37

Answer:

the answer is 22

Step-by-step explanation:

because -3 is squared and that equals 6 and 6 times 5 equal 30 minus-8 equal 22

what is 9=4t+(-7t)
how would I find the value of t

Answers

4t+(-7t) is the same as you saying 4t-7t, so 4t-7t= -3t. 9=-3t, divide each side by -3 and t is equal to -3
9=4t-7t
9=-3t
-3=t
the value of t is -3.

Different rose bushes are grown in a g reenhouse for two months. The number of flowers on each bush is counted at the end of the experiment
. 1. Independent Variable ________________________________________________________________________________
2. Dependent Variable ________________________________ ________________________________________________
3. Control Variable ________________________________________________________________________________

Answers

1. Rose bushes
2. Number of flowers on each bush
3. None, unless there is an original rose bush they used before the experiment

9,513 rounded to the nearest thousand

Answers

9513 rounded to the nearest thousandth is 10,000.

I hope that helped! :>
Final answer:

To round 9,513 to the nearest thousand, we look at the digit in the hundreds place (1) and determine if it is closer to 0 or 1,000. Since it is closer to 0, we round down. Therefore, 9,513 rounded to the nearest thousand is 9,000.

Explanation:

To round 9,513 to the nearest thousand, we look at the digit in the hundreds place (1) and determine if it is closer to 0 or 1,000. Since it is closer to 0, we round down. Therefore, 9,513 rounded to the nearest thousand is 9,000.

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Help please, i dont know i tried.

Answers

2/3 = 0.6666..... I hope it helps
It's 2/3, it repeats -0.66666666666666 and so on.
3/5 doesn't repeat, it stops at 0.6
3/10 doesn't repeat, it stops at 0.3
11/20 doesn't repeat, it stops at 0.55.

ritz can eat 8 apples in 15 minutes . how long can it take him to eat 16 apples at the same rate

Answers

8 apples/15 minutes
16 apples/x minutes
8/16=1/2
2*15=30
30 minutes

I don't get this question #3

Answers

Answer: 90

Step-by-step explanation: Since there are 10 teams any given team will play all the other 9 teams resulting in 9 x 10 = 90.

Simplify the expression

Answers

I hope this helps you! Let me know if you need further explanation.

I need to know all 13 & 14

Answers

13a
4 11/12

13b
5 9/14

13c
3 19/24

13d
4 18/35


14a
4 1/12

14b
1/8

14c

given that one root is twice the other for the quadratic equation px-3x^2=24 . Find the values of p

Answers

Alright, so we can write this as -3x^2+px-24=0 (by subtracting 24 from both sides)

3*-24=-72, so 2 numbers have to add to 72 but multiply to a number p. If a number is y and the other is 2y, that means that y*2y=-72 and 2y^2=72. Therefore, y^2=36 by dividing both sides by 2 and y is either 6 or -6. If y is 6, then 2y is 12 and 6+12=18=p
If y is -6, then 2y=-12 and -6-12=-18=p

The quotient of two consecutive positive integers is 1.02. What is the sum of these two integers?

Answers

Let these two integers be called x and y.

We are told:

x = y + 1 (consecutive integers) EQN (1)

and

[tex] \frac{x}{y} =1.02[/tex] EQN (2)

Solving this system of equations gives

[tex] \frac{y+1}{y} = 1.02[/tex]

Solving yields

y = 50 and x = 51

If quotient of two consecutive positive integers is 1.02 then the sum of the two integers is 101.

What is Number system?

A number system is defined as a system of writing to express numbers.

Let x be the smaller of the two consecutive positive integers. Then, the next consecutive integer is x + 1.

According to the problem, the quotient of these two consecutive integers is 1.02. In other words:

(x + 1) / x = 1.02

Multiplying both sides by x, we get:

x + 1 = 1.02x

Subtracting x from both sides, we get:

1 = 0.02x

Dividing both sides by 0.02, we get:

x = 50

Therefore, the two consecutive positive integers are 50 and 51, and their sum is:

50 + 51 = 101

Therefore, if quotient of two consecutive positive integers is 1.02 then the sum of the two integers is 101.

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12 bars of soap for $10.00 or 5 bars of soap for $4.00

Answers

Final answer:

To determine which package is a better deal, we need to compare the price per bar of soap for each package. The second package is the better deal as it has a lower price per bar of soap.

Explanation:

The question is asking about the comparison of two different packages of soap based on their price and quantity. To determine which package is a better deal, we need to calculate the price per bar of soap for each package.

For the first package, we have 12 bars of soap for $10.00. To find the price per bar, we divide the total cost by the number of bars: $10.00 ÷ 12 = $0.83 per bar.

For the second package, we have 5 bars of soap for $4.00. Again, we divide the total cost by the number of bars: $4.00 ÷ 5 = $0.80 per bar.

Comparing the prices per bar, we can see that the second package is cheaper, so it is the better deal.

What is the prime factorization ?? What is the number and explain ??

Answers

The number is already in prime factored form. The prime factors are 2, 3, 5, and 7. If we multiply everything out then we end up with 2100

If a = 3, what is the value of the expression 36 ÷ a · 4 + 2?
5
48
50
72

Answers

50. Plug in 3 for a and divide that by 36
36/3= 12
12x4= 48
48+4= 50

Homework Help: All of the following expressions are equivalent except _____.
a) 2 - x
b) x - 2
c)-2 + x
d)x + (-2)

Answers

all equivalents except 

a) 2 - x 
cause this will equal (-x +2) or 2 + (-x)

The expressions which are equivalent are x - 2, -2 + x, and x + (-2) so, option A is correct.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Given:

The expressions are equivalent,

Expressions that function identically despite having distinct appearances are called equivalent expressions. If two algebraic expressions are equivalent, then when we enter the same value(s) for the variable, the two expressions have the same value (s).

As you can see in the options 2 - x because this will equal (-x +2) or 2 + (-x)

Thus, the expression which is not equivalent is 2 - x.

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Macy wants to find the sum of 61,043 and 23,948 your answer is 37,095 find and correct her mistake

Answers

She subtracted instead of adding so your answer will be 84,991 instead of 37,095.
She subtracted the answer is 84,991

what is 1/7+ x = 2/3x

Answers

1/7 + x = 2/3x
1/7 = 2/3x-x
1/7 = 2/3x - 1x
1/7 = -1/3x
-3/7 = x
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