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Anna35 [415]
3 years ago
12

George needs blueberries for a certain recipe calls for 4/5 cup blueberries.However, George wants to make a recipe that is 3 1/2

times larger.How much blueberries will he need?
Mathematics
1 answer:
lesya [120]3 years ago
6 0

Answer:

Step-by-step explanation:

4/5 × 3 1/2

= 4/5 × 7/2

= 28/10

= 2 8/10

=2 4/5 cups of blueberries

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QUICK What is the solution to this system of equations? 3.2 x + 0.5 y = 4.2. Negative 1.6 x minus 0.5 y = 3.4.
8_murik_8 [283]

Answer:

The solution is x=4.75  and   y = -22

Step-by-step explanation:

To find the solution to the system of equations, we will follow the steps below:

3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)

-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)

add equation (1) and equation (2)

1.6x =7.6

Divide both-side of the equation by 1.6 to get the value of x

1.6x /1.6 =7.6/1.6

x =4.75

substitute x = 4.75 into equation (1) and solve for y

3.2(4.75) + 0.5y = 4.2

15.2 + 0.5y = 4.2

subtract 15.2 from both-side of the equation

15.2 - 15.2 + 0.5y = 4.2-15.2

0.5y = -11

Divide both-side of the equation by 0.5

0.5y/0.5 = -11/0.5

y = -22

The solution is x=4.75  and   y = -22

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Suppose that documentation lists the average sales price of a single-family home in the metropolitan Dallas/Ft. Worth/Irving, Te
Julli [10]

Answer:

"0.0373" seems to be the appropriate solution.

Step-by-step explanation:

The given values are:

n₁ = 43

n₂ = 35

\bar{x_1}=217800

\bar{x_2}=204700

\sigma_1=30300

\sigma_2=33800

Now,

The test statistic will be:

⇒  Z=\frac{\bar{x_1}-\bar{x_2}}\sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2} }

On substituting the given values in the above formula, we get

⇒      =\frac{217800-204400}{\sqrt{\frac{(30300)^2}{43} +\frac{(33800)^2}{35} } }

⇒      =\frac{217800-204400}{\sqrt{\frac{918090000}{43} +\frac{1142440000}{35} } }

⇒      =\frac{13400}{7347.93}

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then,

P-value will be:

=  P(Z>1.7828)

=  0.0373

8 0
3 years ago
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