When Derek planted a tree it was 36 inches tall. The tree grew 1 1/4 inches per year. The tree is now 44 3/4 inches tall. How many years ago did Derek plant the tree?

Answers

Answer 1

Answer: Original Height = 36 inches.

Change in height:

$44(3)/(4) - 36 = 8(3)/(4)$

Number of years :

$8(3)/(4) / 1(1)/(4)$

$=(35)/(4) / (5)/(4)$

$=(35)/(4) * (4)/(5)$

$=7$

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Answer; Derek has planted the tree for 7 years.
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Taylor wants to make 2 1/2 times the quantity given in a recipe. The recipe calls for 1 3/4 cups of flour. How much flour will Taylor need?

Answers

$2(1)/(2)=2.5$

$1(3)/(4)=1.75$

Let's start...

a recipe say that we have to use 1.75 cups of flour, then 2.5 recipe we have to use $1.75*2.5$ cups of flour, it's iqual 4.375 cup of flour.

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Which values of p and q would make the value of the following expression equal to 58i? (3 – 7i)(p + qi)i

Answers

we are given

$(3-7i)(p+qi)i=58i$

firstly, we will simplify left side

and then we can compare it with right side

so, we can distribute

$(3p+3qi-7pi-7qi^2)i=58i$

$(3p+3qi-7pi+7q)i=58i$

we have i on both sides

so,i will get cancelled

$(3p+3qi-7pi+7q)=58$

$(3p+7q+(3q-7p)i)=58$

we can also write as

$(3p+7q)+(3q-7p)i=58+0*i$

now, we can compare

and we get

$3p+7q=58$

$3q-7p=0$

now, we can solve for p and q

we get

$q=7,\:p=3$ .............Answer

Answer:

For short the answer is A. p = 3 , q = 7

What adds to -9, and multiplies to -70?

Answers

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Answers

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To make 6 glasses of lemonade, Karla uses 1/2 cup of sugar, 1/2 cup of lemon juice, and 51/2 cup of water. If Karla wants to make 10 glasses of lemonade, which proportion can she use to determine how many cups of water, w, she will need?

Answers

lemonade sugar. lemon juice water

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10 glasses.........x.....................y...................z

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x=10/2/6
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y=x=5/6 lemon juice

z=(51/2*10)/6
z=(510/2)/6
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There were 6 oranges in the refrigerator and Joey and his friends ate 3 2/3 oranges. How many oranges were left/

Answers

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