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4 years ago

What quantity of apples would you need to make a triple recipe?

1 answer:

8 0

If 2 1/4 cups of apples are needed for a single recipe, then a triple recipe would call for 3 times as many....

3 * 2 1/4 =
3 * 9/4 =
27/4 or 6 3/4 cups are needed for a triple recipe

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The length of a rectangle is two more than four times the width if the perimeter is 54 inches what are the length and width?

telo118 [61]

Answer:

Length = 22 inches, Width = 5 inches

Step-by-step explanation:

Let P represent the Perimeter, L , the length and W, the width

Perimeter of a rectangle, P = 2 (L + W) ....eq 1

from the question;

L = 2 + 4W .....eq 2

Slotting in the respective values of P and L in eq 1

54 = 2{(2 + 4W) + W}

Expanding the bracket

54 = 2(2 + 5W)

54 = 4 + 10W

Subtracting 4 from both sides of the equation

54 - 4 = 10 W

50 = 10W

Dividing both sides by the coefficient of W which is 10

5 = W

Therefore, W = 5 inches

Slotting in the value of W in eq 2

L = 2 + 4(5)

L = 2 + 20

L = 22 inches

Now lets check our answers by slotting in the values of P, L and W in eq 1

54 = 2 (22 + 5)

54 = 2 (27)

54 = 54

Since both sides of the equation are equal, the values of L and W are correct

Hence Length = 22 inches, Width = 5 inches

7 0

4 years ago

Write the equation of a line<br> that passes through: (0, 2) and (-1, 1)

Fittoniya [83]

Answer:

y = x + 2

Step-by-step explanation:

slope = Δy / Δx = (1-2) / (-1 - 0) = 1

pass (0,2): y intercept = 2 b=2

y = mx + b

equation: y = x + 2

8 0

3 years ago

Simplify x+4 -5x-2?<br> plz i am dying help me

Inga [223]

$\\ \sf\longmapsto x+4-5x-2$

$\\ \sf\longmapsto x-5x+4-2$

$\\ \sf\longmapsto -4x+2$

$\\ \sf\longmapsto -2(2x+1)$

8 0

3 years ago

Read 2 more answers

Statins are used to keep cholesterol in check and are a top-selling drug in the U.S. The equation: S= 1.3x + 4.9 estimates the a

Yakvenalex [24]

Sales of statin on January 1, 2007 was 16.6 billion dollars.

Statin sales reached 20 billion dollars in the year 2009

Explanation :

The equation: S= 1.3x + 4.9 estimates the amount of sales, S, of statin (in billions of dollars) x years after January 1, 1998.

In 1998, the value of x=0

We need to find the sales in 2007.

2007 - 1998= 9 years

x=9 for the year 2007.

Substitute x=9 in the given equation S to find out sales

$S= 1.3x + 4.9\\S= 1.3(9) + 4.9\\S=16.6$

Sales of statin on January 1, 2007 was 16.6 billion dollars.

Now we find out the year when sales reached 20 billion dollars

S is the amount of sales in billion dollars .

Substitute 20 for S and solve for x

$S= 1.3x + 4.9\\20=1.3x+4.9\\20-4.9=1.3x\\\\15.1=1.3x\\Divide \; by \; 1.3\\x=11.61538$

So , 11 years.

To find out the year , we add 11 with 1998

1998+11=2009

Statin sales reached 20 billion dollars in the year 2009

Learn more : brainly.com/question/13700383

6 0

3 years ago

What is the value of x?

ahrayia [7]

Answer:

Its literally 45,

Step-by-step explanation: the lines are parallel meaning that the angles will be the same. basically 45 + 135 = 180 so line N will have the same angles.

4 0

3 years ago