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2 years ago

8

Gerald mixes 2/3 cup whole wheat flour and 1/2 cup buckwheat flour to make 4 pancakes. How much of each type of flourbis needed

to make 1 pancake

1 answer:

yulyashka [42]2 years ago

7 0

Answer:

Whole Wheat = 1/6

Buckwheat = 1/8

W = whole wheat flour

B = buckwheat flour

⅔W + ½B = 4

Divide everything by 4

⅔W/4 + ½B/4 = 4/4

2/12W + 1/8B = 4/4

1/6W + ⅛B = 1

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Jayson bought 4.8 gallons of gas at 2.95 per gallon how much did he spend

rosijanka [135]

Answer:

$14.16

Step-by-step explanation:

4.8 × 2.95. =14.16

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2 years ago

Given AD || GJ. Refer to the figure and provide an appropriate name for BCF and GHF.

kherson [118]

Answer:

C. Corresponding angles

Step-by-step explanation:

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2 years ago

which of the following is equivalent to 3 sqrt 32x^3y^6 / 3 sqrt 2x^9y^2 where x is greater than or equal to 0 and y is greater

Nutka1998 [239]

Answer:

$\frac{\sqrt[3]{16y^4}}{x^2}$

Step-by-step explanation:

The options are missing; However, I'll simplify the given expression.

Given

$\frac{\sqrt[3]{32x^3y^6}}{\sqrt[3]{2x^9y^2} }$

Required

Write Equivalent Expression

To solve this expression, we'll make use of laws of indices throughout.

From laws of indices $\sqrt[n]{a} = a^{\frac{1}{n}}$

So,

$\frac{\sqrt[3]{32x^3y^6}}{\sqrt[3]{2x^9y^2} }$ gives

$\frac{(32x^3y^6)^{\frac{1}{3}}}{(2x^9y^2)^\frac{1}{3}}$

Also from laws of indices

$(ab)^n = a^nb^n$

So, the above expression can be further simplified to

$\frac{(32^\frac{1}{3}x^{3*\frac{1}{3}}y^{6*\frac{1}{3}})}{(2^\frac{1}{3}x^{9*\frac{1}{3}}y^{2*\frac{1}{3}})}$

Multiply the exponents gives

$\frac{(32^\frac{1}{3}x*y^{2})}{(2^\frac{1}{3}x^{3}*y^{\frac{2}{3}})}$

Substitute $2^5$ for 32

$\frac{(2^{5*\frac{1}{3}}x*y^{2})}{(2^\frac{1}{3}x^{3}*y^{\frac{2}{3}})}$

$\frac{(2^{\frac{5}{3}}x*y^{2})}{(2^\frac{1}{3}x^{3}*y^{\frac{2}{3}})}$

From laws of indices

$\frac{a^m}{a^n} = a^{m-n}$

This law can be applied to the expression above;

$\frac{(2^{\frac{5}{3}}x*y^{2})}{(2^\frac{1}{3}x^{3}*y^{\frac{2}{3}})}$ becomes

$2^{\frac{5}{3}-\frac{1}{3}}x^{1-3}*y^{2-\frac{2}{3}}$

Solve exponents

$2^{\frac{5-1}{3}}*x^{-2}*y^{\frac{6-2}{3}}$

$2^{\frac{4}{3}}*x^{-2}*y^{\frac{4}{3}}$

From laws of indices,

$a^{-n} = \frac{1}{a^n}$ ; So,

$2^{\frac{4}{3}}*x^{-2}*y^{\frac{4}{3}}$ gives

$\frac{2^{\frac{4}{3}}*y^{\frac{4}{3}}}{x^2}$

The expression at the numerator can be combined to give

$\frac{(2y)^{\frac{4}{3}}}{x^2}$

Lastly, From laws of indices,

$a^{\frac{m}{n} = \sqrt[n]{a^m}$ ; So,

$\frac{(2y)^{\frac{4}{3}}}{x^2}$ becomes

$\frac{\sqrt[3]{(2y)}^{4}}{x^2}$

$\frac{\sqrt[3]{16y^4}}{x^2}$

Hence,

$\frac{\sqrt[3]{32x^3y^6}}{\sqrt[3]{2x^9y^2} }$ is equivalent to $\frac{\sqrt[3]{16y^4}}{x^2}$

8 0

2 years ago

This is the countiue question to the last one I posted. so please help

Vedmedyk [2.9K]

Answer:

4.5 i think

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Fernando purchased a new motorhome for $180,000, but the motorhome will depreciate

Dmitry_Shevchenko [17]

Your answer would be 122,400.

<em>To solve, follow these steps!! </em>First let's start with the price of the motorhome, 180,000. If it <em>depreciates, </em>that means it's going to lose value ever year.

It will depreciate 4% every year, so we need to find 4% of 180,000. You can just plug this into a calculator and get 7,200.

Next, it will depreciate for 8 years, so we multiply 7,200 x 8 and get 57,600. Lastly, we will subtract this from 180,000 and get 122,400.

3 0

2 years ago