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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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If triangle ABC is similar to triangle PQR, find the value of x and y.
tester [92]

Answer:

x = 9

y = 6

Step-by-step explanation:

ΔABC ~ ΔPQR

Therefore, corresponding sides of these similar triangles will be in the proportional.

\frac{AB}{PQ}=\frac{BC}{QR}= \frac{AC}{PR}

\frac{6}{x}= \frac{4}{y}= \frac{8}{12}

\frac{6}{x}= \frac{8}{12}

x = \frac{12\times 6}{8}

x = 9

Similarly, \frac{4}{y}= \frac{8}{12}

y = \frac{12\times 4}{8}

y = 6

6 0
3 years ago
What is true of the function g(x)=-2x^2+5?
mart [117]

Answer:

C) The variable x represents the independent variable.

Step-by-step explanation:

The given function is g(x)=-2x^2+5.

g(x) is NOT the multiplication of g and x because g is a function of x.

x is the input of the function.

-2x^2+5 is the output of the function.

The variable x is called the independent variable because we plug in values of x to find g.

The variable g represents the output of the function NOT the input.

The correct choice is C

8 0
3 years ago
Draw two different shapes that each have an area of 4 square units
Alekssandra [29.7K]

Answer:

You can have a cube with sides that mesure 2cmx2cm or a rectangle 1cmx4cm.

Step-by-step explanation:

8 0
2 years ago
1) Gena’s new outfit originally cost $75. She received 20% off. How much did Gena’s outfit cost?
Paha777 [63]

Answer:

1. $60

2. 600 Calories were burned

3. D

Step-by-step explanation:

1. $75 x .20=$15

75-15=$60

2. What I started with is 200/40=5 calories burned per min

60 plus 60=120

5x120=600

3. It's the only option that has something decreasing. and there is a -5 which means it's getting subtracted or its decreasing.  

6 0
3 years ago
Read 2 more answers
Please help and thank you
mamaluj [8]

Answer:

C

Step-by-step explanation:

a is defined first as 5. So a = 5.

b is defined after the circle b = -2

a^2 = 5^2 = 25

B^4 =(- 2)^4 = 16

Therefore sqrt(a^2 * b^4) = sqrt(25 * 16) = sqrt(400) = 20

The answer is C

5 0
3 years ago
Read 2 more answers
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