Diane serves breakfast to two groups of children at a daycare center. One box of Oaties contains 12 cups of cereal. She needs 1/3 cup for each younger child and 3/4 for each older child. Today’s group includes 11 younger children and 10 older children. Is one box of oaties enough for everyone

Answers

Answer 1

no. It's over 12 by 1/6

Answer 2

Answer:

Yes, one box of Oaties is enough for everyone.

Explanation:

To find out if one box of Oaties is enough for everyone, let's calculate the total amount of cereal needed for each group and then sum them up.

For the younger children:

Number of younger children = 11

Amount of cereal needed for each younger child = 1/3 cup

Total cereal needed for younger children = Number of younger children × Amount of cereal needed for each younger child

Total cereal needed for younger children = 11 × 1/3 = 11/3 cups

For the older children:

Number of older children = 10

Amount of cereal needed for each older child = 3/4 cup

Total cereal needed for older children = Number of older children × Amount of cereal needed for each older child

Total cereal needed for older children = 10 × 3/4 = 30/4 = 7.5 cups

Now, let's sum up the total cereal needed for both groups:

Total cereal needed = Total cereal needed for younger children + Total cereal needed for older children

Total cereal needed = 11/3 + 7.5

To add fractions, we need a common denominator, which is 3 in this case:

Total cereal needed = (11/3) + (7.5 × 3/3)

Total cereal needed = (11/3) + (22.5/3)

Total cereal needed = (11 + 22.5) / 3

Total cereal needed = 33.5/3

Now, 33.5/3 cups of cereal are needed for everyone.

Since one box of Oaties contains 12 cups of cereal, let's check if it's enough:

1 box = 12 cups

So, 12 cups > 33.5/3 cups

Yes, one box of Oaties is enough for everyone.

Related Questions

Explain part a and b

Answers

As i can see there is a table a bove so the x is the first number which going up the graph and the y is across the line

40 POINTS!!!!

I HAVE NOO IDEA WHAT THIS IS
PLEEAAASSEEE HELP ME!!!!!!!!!!!!!!!!!!!!
PLEASE DO THIS SMALL PAGE

IF U CANNOT SEE THE VOCABULARY CLEARLY I ADDED A PICTURE!

Answers

Hey You!

1. A number that is formed by repeated multiplication is called: power.

2. I cannot see the vocabulary clearly so it's hard to understand this one, but I believe it's order of operations.

3. The base is a number that is multiplied. The number that indicates how many times this number is used as a factor is the exponent.

What is 3 5/2 in simplified radical form?
sqrt(3)

\sqrt{3^5}

^3\sqrt{5}

Answers

A radical exponent means the denominator is the index of the root, and the numerator is an exponent.

[tex] 3^{\frac{5}{2} } = \sqrt[2]{3^5} = \sqrt{3^5} [/tex]

To simplify 3 5/2 in radical form, convert the mixed number to an improper fraction and express it as √(13/2).

To express 3 5/2 in simplified radical form, we need to convert the mixed number to an improper fraction. 3 5/2 is equivalent to 13/2. Therefore, the expression can be written as √(13/2).

What does CPCTC mean in Geometry AND when it is used?

Answers

Answer:

Corresponding parts of congruent triangles are congruent.

Step-by-step explanation:

With SSS, SAS, ASA, and AAS, you know how to use three congruent parts of two triangles to show that the triangles are congruent. Once you know that two triangles are congruent, you can make conclusions about their other corresponding parts because, by definition, corresponding parts of congruent triangles are congruent.

CPCTC is an acronym for corresponding parts of congruent triangles are congruent.

The usage

CPCTC is often used to determine the similarities and congruence of two or more triangles.

Take for instance, the SSS congruence theorem means that the triangles are similar or congruent by Side-Side-Side.

Using CPCTC, it helps to know when the corresponding sides and/or the corresponding angles of the triangles that are being com pared are congruent.

Answers

For 5 and 6 : 5 would be 144 when you put 3 in the position of the t . And 6 would be 1,024 when you put 8 where the t is .

the larger of two numbers is 12 more than the smaller number. if the sum of the two numbers is 74, find the two numbers

Answers

x = smaller, y = larger
larger (y) is (=) 12 more than (+) smaller (x)
y = 12 + x
x + y = 74
plug one equation into the other:
x + y = 74
x + (12+x) = 74
2x + 12 = 74
2x = 74-12 = 62
2x/2 = 62/2
x = 31
y = 12 + x = 12 + 31 = 43
So smaller number = 31
and larger number = 43

You use a gift card to buy a pair of shorts for $8. There is $32 left on the gift card after your purchase. What was the original amount of your gift card?

Answers

40 Dollars Was the original ammount

How many ants does it take to have the same mass as an elephant

Answers

First we observe that the mass of the ant is in grams, where the mass of the elephant is in metric tons. We cannot compare the two masses as is, so we first convert them into the same units. We can do this with ratios, using the conversion chart above to convert metric tons into kilograms and then kilograms into grams.

(8 metric tons)(1000 kg1 metric ton)(1000 grams1 kg)=8,000,000 grams=8×106 grams
Notice that both metric tons and kg appear once on both the top and the bottom, enabling them to be canceled out, leaving only grams. Also note that we could have converted .003 grams into metric tons, and though this would have given an answer with a large number of decimal places, we would end up with the same final result.

Now that both quantities are in grams, we want to find how many ants, n, are required to have the same mass as the elephant. As each ant has a mass of 4×10−3 grams, we multiply 4×10−3 by n to get the total mass of the ants
total mass of n ants=4×10−3n
and then we set this equal to the mass of the elephant:
4×10−3n=8×106
We find that n=2×109 ants.

Thus, it takes approximately 2×109 ants to have the same mass as an elephant.
Each ant is 10−1 cm long, and we have 2×109 ants total. If we put all these ants in a line (front to back), we can find the length of the line by multiplying the length of one ant by how many ants we have:
2×109×10−1 cm=2×108 cm
As is, this answer is difficult to illustrate because it is such a large number. To find two objects that are this distance apart, we first want to convert centimeters into more useful units. We do this by using ratios from the above chart, converting centimeters to meters and meters to kilometers.
(2×108 cm)(1 m102 cm)(1 km103 m)=2×103 km=2000 km
This amount is much easier to visualize, and it turns out that 2000 km is approximately the driving distance from San Francisco, California to Denver, Colorado.

Final answer:

To equal the mass of an elephant weighing 8 metric tons, it takes approximately 2 billion ants, each weighing 4×10^-3 grams.

Explanation:

The question asks how many ants would equal the mass of an elephant when the mass of an ant is approximately 4×10^-3 grams and the mass of an elephant is about 8 metric tons. First, we need to convert the mass of the ant into the same units as the elephant's mass. Since there are 1,000 grams in a kilogram and 1,000 kilograms in a metric ton, we can calculate the mass of the ant in metric tons as 4×10^-3 grams × (1 kilogram / 1,000 grams) × (1 metric ton / 1,000 kilograms), which simplifies to 4×10^-9 metric tons. To find the number of ants needed to equal the mass of an elephant, we divide the elephant's mass by the mass of one ant: 8 metric tons / 4×10^-9 metric tons per ant = 2×10^9 ants. Therefore, it takes approximately 2 billion ants to have the same mass as an 8 metric ton elephant.

(1/8)⁴ as a fraction

Answers

If you do that math, 1/8

(1/8)^4 = (1/8)*(1/8)*(1/8)*(1/8) =

(1*1*1*1)/(8*8*8*8)

= 1/4096

Easy peasy.

Two workers can make two chairs in two days. How many chairs can 8 workers working at the same rate make in 20 days?

Answers

The answer is 4 chairs in 20 days

Two workers can make two chairs in two days. 8 workers working at the same rate can make 80 chairs in 20 days.

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Two workers can make two chairs in two days.

Hence:

one worker make one chair in two days, hence:

8 workers would make 8 chairs in 2 days. In 20 days, number of chairs made = 8 * (20/2) = 80 chairs

Two workers can make two chairs in two days. 8 workers working at the same rate can make 80 chairs in 20 days.

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Is 593÷6 is a little less than 10 a little more than 10 a little less than 100 a little more than 100 explain

Answers

Since 600 ÷ 6 = 100 and 593 is less than 6, 593 ÷ 6 is a little less than 100.

Hope this helps!

-4y+7+9y-3 identify the terms and like terms in expressions

Answers

Combine like terms
5y + 4

combine like term -4y +9y 5y and +7 -3 = 4, 5y + 4

Part B : What would the math be to show how I did the math? HELP ME PLZ!!

Answers

The equation would be 55h+40=c
h-hours
40-Initial value-Price paid at start
c-total cost
so if you plug the numbers in, 55h+40=190
Subtract 40 from both sides, 55h=150
Divide both sides by 55, h=150/55
150/55=2.72727272727
and that rounds to 2.73

What is 33/40 as a decimal? Please explain how you got it.

Answers

33/40 as a decimal is 0.825

To write 33/40 as a decimal you have to divide numerator by the denominator of the fraction. divide now 33 by 40 what we write down as 33/40 and we get 0.825

33/40 / 2 = 16.5/20
16.5/20 * 5 = 82.5/100 = 0.825

Please make this answer the brainliest!

If a 40-m rope is cut into two pieces in the ratio 3:5 how long is each piece

Answers

Final answer:

The 40-m rope cut in a 3:5 ratio gives a 15 m piece and a 25 m piece. Doubling the rope length to 80 m with the same ratio yields a 30 m piece and a 50 m piece.

Explanation:

To find the length of each piece of a 40-m rope cut in the ratio 3:5, we need to work out the parts of the rope that each ratio value represents. First, we add the parts of the ratio together: 3 + 5 = 8 parts in total. Then, we find the length of each part by dividing the total length of the rope by the total number of parts: 40 m ÷ 8 = 5 m per part. Furthermore, to find the length of the smaller piece, we multiply the size of one part by 3, and for the longer piece, we multiply by 5.

Length of smaller piece = 3 parts × 5 m/part = 15 mLength of larger piece = 5 parts × 5 m/part = 25 m

PLEASE HELP I CANNOT DO THIS!!
40 POINTS (IM OUT OF POINTS D:)

Use parentheses to make the statement true: 8 x 4 - 2 x 3 + 8 divided by 2 = 25

(Order of operations)

Answers

8x4-(2x3+8) divided by 2=25.

Arjun ran 19 miles less than Brenda last week .Arjun ran 14 miles . How many miles did Brenda run

Answers

Brenda ran 33 miles as it is 14 +19 which equals 33

He ran 33 miles, you would do 14+19=33

alexia charges 15 dollars an hour to repair air conditioners. organize the data for the coat of reparing air conditioners. write a graph an equation representing the function . graph the finction

Answers

1) Data

x: number of hours of repair

f(x) = cost

    x          f(x) = 15x
hours            $
    0          0

    1              15

    2              30

    3               45

    4               60

    5               75

     a              15a

2) Equation: y = 15x

3) Graph: it is a continuous straight line that starts at (0,0) and passes through all the points ordanized in the table.

Which equation demonstrates the distributive property?
A) 14 + 77 = 91
B)14 x 77 = 77 x 14
C)14 + 77 = 7(2 + 11)
D)(2 + 11)7 = 7(2 + 11)

Answers

the answer you are looking for is C

what percent of 50 is 18?

Answers

18÷50×100%=36%
Ans : 36%
If you don't understand feel free to message me

18-50x100=36%

Answer=36%

Hope this helps text me if you don't understand

How would you regroup 4 tens to find the difference between 341 and 228

Answers

Easy! First just subtract it like you would! Then, when you get to the 4 tens of the number, explain how you subtracted that!

Find p+q, given that (q+4)(p+3)-(q+2)(p+1)=44.

Answers

We find that p+q = 17.

To find p+q, we need to solve the given equation step by step:

(q+4)(p+3) - (q+2)(p+1) = 44

Expanding both products, we get:

qp + 3q + 4p + 12 - qp - q - 2p - 2 = 44

We notice here that the 'qp' terms cancel each other out. Simplifying, we are left with:

2q + 2p + 10 = 44

Subtracting 10 from both sides gives:

2q + 2p = 34

Divide by 2:

q + p = 17

Therefore, p+q = 17.

PLZ HELP DUE IN 5
MIN

Which statements are correct steps in finding the linear equation of a line that passes through the points (−1, 7) and (2, 4) using the point-slope form method? Select all that apply.

A: y = x + 6
B: 7 = –1(–1) + b
C: y – 4 = –1 (x – 2)
D: y – 7 = –1 (x – (–1))
E: y – 2 = x – 4
F: y = –x + 6

Answers

y – 4 = –1 (x – 2) y – 7 = –1 (x – (–1))y = –x + 6

The linear equation of the line will be y = -x + 6.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. A2 nd the third parameter is the slope of the line which represents the elevation of the line.

Given that a line passes through the points (−1, 7) and (2, 4). The equation of the line will be calculated by finding the slope of the line.

y = mx + c

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 2 - ( -1 ) / ( 4 - 7)

m = ( 3 / -3 )

m = -1

y = mx + c

( 7 ) = ( -1 )( -1 ) + x

c = 6

The equation will be written as:-

y = mx + c

y = -x + 6

Therefore, the linear equation of the line will be y = -x + 6.

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Sandra runs at a rate of 8 miles in 45 minutes how does her unit rate compared to terrance's in Jessie's

Answers

Final answer:

Sandra's unit rate is 0.178 miles per minute, which is lower than Terrance's rate of 0.2 miles per minute and higher than Jessie's rate of 0.133 miles per minute.

Explanation:

To compare the unit rates of Sandra, Terrance, and Jessie, we need to determine how many miles they can run in one minute.

For Sandra, the unit rate is 8 miles in 45 minutes. To find the unit rate per minute, we divide 8 by 45, which is approximately 0.178 miles per minute.For Terrance, the unit rate is 6 miles in 30 minutes. Dividing 6 by 30 gives us a unit rate of 0.2 miles per minute.For Jessie, the unit rate is 2 miles in 15 minutes. Dividing 2 by 15 gives us a unit rate of 0.133 miles per minute.

Comparing the unit rates, Terrance has the highest rate at 0.2 miles per minute, followed by Sandra at 0.178 miles per minute, and Jessie at 0.133 miles per minute.

Complete question:

Sandra Runs at a rate of 8 miles in 45 minutes. how does her unit rate compare to Terrance and Jessie (Terrance 6 miles per half an hour jesse 2 miles every 15 minutes).

How to simplify the expression
10h+6-5h+3

Answers

5h+9 is the correct answer

If we want to simplify this expression:

10h+6-5h+3

We have to join each term with h and each term with no variable (no h) :

10h-5h+6+3

Sum each h-term and each variable:

5h+9 This the simplified result

Becky has one piece of paper. She cuts the paper in half and then has two pieces. She cuts these in half to get four pieces. The process continues. Which describes how many pieces she has at each step? (a) p(1) = 1; p(n) = 2p(n-1), for n is greater than or equal to 2 (b) p(1) = 1; p(n) = 1/2p(n-1), for n is greater than or equal to 2 (c) p(1) = 1; p(n) = p (n-1) +1, for n is greater than or equal to 2

Answers

C.) p(1) = 1; p(n) = p(n-1) + 1

1 piece cuts into 2, 2 pieces cuts into 4, 4 pieces get cut into 8, so there is a multiple of 2 involved so the equation needs a multiple of 2 in it.

The correct answer is a) p(1) = 1; p(n) = 2p(n-1), for n is greater than or equal to 2

Add. (5y - 1) + (-2y + 4) A) 3y - 5 B) 3y + 3 C) 7y + 3 D) 7y - 3

Answers

(5y - 1) + (-2y + 4) = 5y - 1 - 2y + 4
= 5y - 2y - 1 + 4
= 3y + 3 [OPTION B]

a sofa is on sale for $259, which is 26% less than the regular price. what is the regular price?

Answers

259 / (1 - 0.26) = 350

Regular price of sofa is $ 350.

What is Selling price?

Selling price is defined as the price that a customer pays to purchase a product.

Selling price of Sofa is $259

Let the regular price is x

So, sale price is 26% lower than regular price =

x * (100 - 26)/100 = 0.74x

So, 0.74x = 259

Or, x = 259/0.74 = $ 350

Hence, regular price of sofa is $ 350.

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-6(x-5)>42 and plz show how you got it

Answers

-6(x - 5) > 42

Simplify.

-6x + 30 > 42

We are simply just trying to get x by itself.

So, subtract 30 from both sides.

-6x > 42 - 30

Simplify.

-6x > 12

Then, divide both sides by -6.

Remember! : When dividing by a negative number, you must switch the signs. So, > → < and < → > :))

-6x ÷ -6 > 12 ÷ -6

Simplify.

x < -2

~Hope I helped!~

the width of a rectangle is 4 inches less than the length ,the perimeter is 48,what is the dimensions?

Answers

Answer: 10 inches × 14 inches

Work:

length = x inches
width = x - 4 inches
perimeter = 2(l+w)

48 = 2[(x)+(x - 4)]
48 = 2(2x - 4)
24 = 2x - 4
28 = 2x
14 = x

length = x inches = 14 inches
width = x - 4 inches = 14 - 4 = 10 inches

Length is 14 inches, width is 10 inches.
If you need area, it's 140 inches.

2L + 2w = 48

L = w + 4

2(w+4) + 2w = 48
2w + 8 + 2w = 48
4w + 8 = 48
4w = 40
w = 10

L = w + 4
L = 10 + 4
L = 14

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