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3 years ago

NEED THE ANSWER ASAP PLEASE

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

8 0

Answer:

X = -2

Step-by-step explanation:

Vertical lines go up and down. That means the x value is constant and the y value changes. We have an x value of -2

X = -2

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Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will

Oksanka [162]

Answer:

Ella should add $32\dfrac{5}{6}$ lbs of water.

Total weight of syrup $33\dfrac{1}{3}$ lbs

Step-by-step explanation:

Weight:

Weight of sugar = 0.5 lbs.

Weight of water added = x lbs

Total weight = 0.5 + x lbs

Percentage:

0.5 + x -- 100%

0.5 -- 1.5%

Write a proportion:

$\dfrac{0.5+x}{0.5}=\dfrac{100}{1.5}$

Cross multiply:

$1.5(0.5+x)=0.5\cdot 100\\ \\0.75+1.5x=50\\ \\1.5x=50-0.75\\ \\1.5x=49.25\\ \\x=\dfrac{49.25}{1.5}=\dfrac{4,925}{150}=\dfrac{197}{6}=32 \dfrac{5}{6}\ lbs$

Ella should add $32\dfrac{5}{6}$ lbs of water.

Total weight of syrup

$32\dfrac{5}{6}+\dfrac{1}{2}=32\dfrac{5}{6}+\dfrac{3}{6}=33\dfrac{1}{3}\ lbs$

3 0

3 years ago

What is the solution to (x + 8) > (2x + 10)?<br> (–∞, –4)<br> (–4, ∞)<br> (–∞, 4)<br> (4, ∞)

Citrus2011 [14]

Answer:

(–∞, -4)

Step-by-step explanation:

5 0

2 years ago

The volume of the triangular prism is 12.5 m³. The length is 2.5 m and the base is 2 m. What is the width?

Fantom [35]

Answer:

(4) 5 m

Step-by-step explanation:

You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.

<h3>Volume</h3>

The volume of the prism is given by the formula ...

V = Bh

where B is the area of the base:

B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle

Using these formulas together, we have ...

V = 1/2(2.5 m)(2 m)x

12.5 m³ = 2.5x m²

Dividing by 2.5 m², we find x to be ...

(12.5 m³)/(2.5 m²) = x = 5 m

The dimension labeled x has length 5 meters.

6 0

1 year ago

A survey found that 89% of a random sample of 1024 American adults approved of cloning endangered animals. Find the margin of er

Kobotan [32]

Answer:

The margin of error for the survey is 0.016

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1024

Sample proportion:

$\hat{p} = 89\% = 0.89$

We have to find the margin of error associated with a 90% Confidence interval.

Formula for margin of error:

$z_{stat}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.10} = 1.64$

Putting the values, we get:

$M.E = 1.64\times (\sqrt{\dfrac{0.89(1-0.89)}{1024}})\\\\M.E=0.016$

Thus, the margin of error for the survey is 0.016

3 0

3 years ago

juan needs to measure 6 cups of flour for a recipe.he only has a 1/4 cup measuring cup.how many times must he fill the measuring

Luba_88 [7]

Answer:

Juan would need to fill up the 1/4 measuring cup 24 times.

Step-by-step explanation:

So to measure one cup of flour with a 1/4 measuring cup, you would need to fill up the 1/4 measuring cup 4 times. Since we want 6 cups, you would need to fill up the 1/4 measuring cup 24 times. 6 times 4 = 24. Hope this helps!

7 0

3 years ago