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Sloan [31]
2 years ago
11

A cookie factory uses 1 1/5 bags of flour in each batch of cookies. the factory used 7 1/5 bags of flour yesterday. how many bat

ches of cookies did the factory make?
Mathematics
1 answer:
shtirl [24]2 years ago
4 0

Hello!

To find how much batches of cookies the factory made, we need to divide the total number of bags of flour used by how many bags of flour are needed for one batch of cookies.

Before dividing, we need to convert the complex fraction into an improper fraction.

1 1/5 → 5 × 1 + 1 = 6/5

7 1/5 → 5 × 7 + 1 = 36/5

For every batch of cookies, the factory uses 6/5 bags of flour. Yesterday, the factory used 36/5 bags of flour.

Remember when dividing by a fraction, it is like multiplying its reciprocal. This means that the second fraction is flipped, then which it can be multiplied together.

\frac{36}{5} / \frac{6}{5} → \frac{36}{5} * \frac{5}{6} = \frac{180}{30} = 6

Therefore, the cookie factory made 6 batches of cookies yesterday.

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Car X weighs 136 pounds more than car Z. Car Y weighs 117 pounds more than car Z. The total weight of all three cars is 9439 pou
Aleksandr [31]

Let x, y and z denote the weighs of car X, car Y and car Z, respectively.

We know that car X weighs 136 more than car Z, this can be express by the equation:

x=z+136

We also know that Y weighs 117 pounds more than car Z, this can be express as:

y=z+117

Finally, we know that the total weight of all the cars is 9439, then we have:

x+y+z=9439

Hence, we have the system of the equations:

\begin{gathered} x=z+136 \\ y=z+117 \\ z+y+z=9439 \end{gathered}

To solve the system we can plug the values of x and y, given in the first two equations, in the last equation; then we have:

\begin{gathered} z+136+z+117+z=9439 \\ 3z=9439-136-117 \\ 3z=9186 \\ z=\frac{9186}{3} \\ z=3062 \end{gathered}

Now that we have the value of z we plug it in the first two equations to find x and y:

\begin{gathered} x=3062+136=3198 \\ y=3062+117=3179 \end{gathered}

Therefore, car X weighs 3198 pound, car Y weighs 3179 pounds and car Z weighs 3062 pounds.

4 0
1 year ago
If x=am-an then a equals​
Iteru [2.4K]
ANSWER: a=x/(m-n)

x=a(m-n)
a=x/(m-n)
6 0
3 years ago
The quotient of a and b
S_A_V [24]
Answer: take the first digit of a and divide it by b

Step-by-step explanation: and that should give you your answer and if not please feel free to mesage me.
8 0
2 years ago
Verify that (a+b)+c = a+ (b+c) by taking a = -8 , b = (-8/11) , c = (-8/12)
gogolik [260]

Answer:

Step-by-step explanation:

(-8+-\frac{8}{11} ) + (-\frac{8}{12}) = -\frac{96}{11} + (-\frac{2}{3}) = -\frac{288 + 22}{33}) = -\frac{310}{33}\\ (-8) + (-\frac{8}{11} + (-\frac{2}{3})) = (-8) + (-\frac{46}{33})= -\frac{310}{33}

6 0
3 years ago
Read 2 more answers
find two positive even consecutive integers such that a square of the smaller integer is 10 more than the larger integer
nalin [4]

Answer:

the two positive consecutive integers are 4 and 6.

Step-by-step explanation:

Let the smaller integer be s; then s^2 = (s + 2) + 10.

Simplifying, s^2 - s - 2 - 10 = 0, or

s^2 - s - 12 = 0.

Solve this by factoring:  (s - 4)(s + 3) = 0.

Then s = 4 and s = -3.

If the first even integer is 4, the next is 6.  We omit s = -3 because it's not even.

The smaller integer is 4.  Does this satisfy the equation s^2 = (s + 2) + 10?

4^2 = (4 + 2) + 10  True or False?

16 = 6 + 10 = 16.

True.

So the two positive consecutive integers are 4 and 6.

6 0
3 years ago
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