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3 years ago

Help please I need help

Mathematics

2 answers:

Nataly_w [17]3 years ago

7 0

Answer:

q(m+n-p)

Step-by-step explanation:

q is the common factor in all three terms, so take that to go outside the brackets.

What goes inside the brackets depends on the quotient you get upon dividing each term by q.

Here,

qm becomes m

qn becomes n

-qp becomes -p.

Arrange the. Back in the way mentioned.

Hope this helps

Sindrei [870]3 years ago

5 0

Answer:

q(m+n-p)

Step-by-step explanation:

qm+qn-qp

Since, q is the highest common factor, so we'll take q as common

=> q(m+n-p)

This is the required factorized form.

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Sydney bought a 4-pound bag of brown rice at the grocery store. The nutritional information showed that the bag

FromTheMoon [43]

Answer:

1.72973 oz/serving. Perhaps round to 1.73 oz, although there is only 1 sig fig in "4-pound bag." But the problem states "exactly."

Step-by-step explanation:

We want oz/serving, so let's convert the pounds of rice to total ounces of rice:

We are told that 16 oz = 1 pound. Make that a conversion factor: (16 oz/1 pound)

(4 pounds)*((16 oz/1 pound) = 64 ounces

We are told that 4 pounds (64 ounces) makes 37 servings. So:

(64 ounces)/(37 servings) = 1.72973 oz/serving

5 0

1 year ago

How would I set up question one?

Darina [25.2K]

A straight line is 180 degrees:

25x + 8 + 9x + 2 = 180

Combine like terms:

34x + 10 = 180

Subtract 10 from both sides:

34x = 170

Divide both sides by 34:

X = 5

Now solve the smaller angle:

9x + 2 = 9(5) + 2 = 45 + 2 = 47

They angle with the y is a vertical angle to 47 so needs to also equal 47:

7y + 5 = 47

Subtract 5 from both sides:

7y = 42

Divide both sides by 7:

Y = 6

Answer: x = 5, y = 6

8 0

2 years ago

Vasko was renting a high performance bicycle for his Olympic training. Bicycle A is $25 per month and requires a down payment of

Agata [3.3K]

You need an equation system.

First, translate the text into equations :

y = total price for the bike
x = number of months

first bike :
y = 25x + 500

second bike :
y = 50x + 200

Then you have to solve the system by placing the two equations side by side and comparing them.

25x + 500 = 50x + 200

Solve to find the value of x

7 0

2 years ago

What is the image of (−3,−9) after a dilation by a scale factor of 1/3 centered at the origin.

denis-greek [22]

Answer:

(-1,-3)

Step-by-step explanation:

Multiply both x and y values by 1/3 or divide both by 3.

4 0

3 years ago

A 24-centimeter by 119-centimeter piece of cardboard is used to make an open-top box by removing a square from each corner of th

satela [25.4K]

Answer:

The size square removed from each corner = 32.15 cm²

Step-by-step explanation:

The volume of the box = Length * Breadth * Height

Let r be the size removed from each corner

Note that at maximum volume, $\frac{dV}{dr} = 0$

The original length of the cardboard is 119 cm, if you remove a size of r (This typically will be the height of the box) from the corner, since there are two corners corresponding to the length of the box, the length of the box will be:

Length, L = 119 - 2r

Similarly for the breadth, B = 24 - 2r

And the height as stated earlier, H = r

Volume, V = L*B*H

V = (119-2r)(24-2r)r

V = r(2856 - 238r - 48r + 4r²)

V = 4r³ - 286r² + 2856r

At maximum volume dV/dr = 0

dV/dr = 12r² - 572r + 2856

12r² - 572r + 2856 = 0

By solving the quadratic equation above for the value of r:

r = 5.67 or 42

r cannot be 42 because the size removed from the corner of the cardboard cannot be more than the width of the cardboard.

Note that the area of a square is r²

Therefore, the size square removed from each corner = 5.67² = 32.15 cm²

5 0

3 years ago