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PilotLPTM [1.2K]

4 years ago

13

Juan uses 0.1 pound of flour to make a batch of cookies. Exactly how many batches of cookies can he make with 3.75 pounds of flo

ur?

1 answer:

faust18 [17]4 years ago

3 0

Answer:

37.5

Step-by-step explanation:

0.1 pound for one batch of cookies

3.75 pound for x batches of cookies

3.75/0.1=x

he can make 37.5 batches of cookies

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A square plywood platform has a perimeter which is 8 times the length of a side, decreased by 12. Find the length of a side.

Nina [5.8K]

Answer: The length of a side equals 3 units.

Step-by-step explanation: The given figure is a square, and a square is a shape with all four sides having equal measurement. This means if the length is given as L, then the width would also measure as L.

Also we are given a clue as to the measurement of the perimeter of the square. Normally, the perimeter of a square would be computed as

Perimeter = 4L (that is, add up all four sides). But since we have been told that the perimeter is equal to eight times the length of a side {8 x L, or 8L} decreased by 12 {8L - 12} we can conveniently express the perimeter as

Perimeter = 8L - 12.

However, remember that the formula for a perimeter is Perimeter = 4L. Therefore what we have come up with is,

8L - 12 = 4L

(Remember that both sides of the equation represents the perimeter)

By collecting like terms we now have

8L - 4L = 12

(Remember that when a negative value crosses from one side of the equation to the other, it becomes positive, and vice versa)

8L - 4L = 12

4L = 12

Divide both sides of the equation by 4

L = 3

Therefore, one side of the square measures 3 units

7 0

3 years ago

How to find z scores

AURORKA [14]

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation

You can refer to this link for an example:

brainly.com/question/10334874?referrer=searchResults

8 0

2 years ago

Which unit rate is the lowest price per ounce? 22 ounces of potato chips for 3.49

8_murik_8 [283]

Unit rate = 3.49/22 = $0.16

3 0

4 years ago

What is the length of NM?

MA_775_DIABLO [31]

Answer:

See below :)

Step-by-step explanation:

We know that these traingles are all similar. We can see the angle NMK is 60 degrees so we also know that JNK is 60 degrees. Now we know that all of the triangles are 30-60-90 triangles. JN is 3, so from the "leg opposite to 30 degree theorem", we know that NK is two times JN which is 6. Then from the same theorem, we know that NM is NK divided by the square root of 3

$\frac{6}{\sqrt3}$

We can't have fractions that have irrational numbers in the denominator of a fraction so we multiply it by root3 over root3

$\frac{6}{\sqrt3}$ * $\frac{\sqrt3}{\sqrt3}$

This then makes it 6 times root 3 over 3

$\frac{6\sqrt3}{3}$

We then get $2\sqrt{3}$

8 0

4 years ago

Suppose f(x)=x^2 +1. Find the graph of 4 f(x). <br> Graph 1<br> Graph 2

umka21 [38]

Answer:

Graph 1.

Step-by-step explanation:

The graph of f(x) will be compressed by a factor 4 and the vertex will be 4 units up from the origin.

6 0

3 years ago