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Ronch [10]
4 years ago
7

Mrs. Davis bought 6 pounds of grades for $18. At this rate, how much would 72 ounces of grapes have cost?

Mathematics
1 answer:
saveliy_v [14]4 years ago
4 0
This the problem we are looking at: 6 pounds/18 = 72 ounces /?
To solve this, we have to make the unit of measurement the same. There are 16 ounces in 1 pound. So, there are 72 ounces in 4.5. To find that you just do 72 divided by 16. This is the new problem we are looking at: 6 pounds/18 = 4.5 pounds/?
To find ?, you must divided 6 divided by 4.5 to find the difference between the two to keep the same rate. That equals 1.33333333. 
What is done to the numerator, you must do to the denominator to keep the same rate so now you divide 18 divided by 1.33333333 which equals 13.5

So for 72 ounces (4.5 pounds) it will cost $13.50

I hope this helps:)
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The longest side of a triangle similar XYZ is 39 units long. Find the other side lengths of the triangle.
Neporo4naja [7]

Answer:

The side lengths are 30, 36 and 39.

Step-by-step explanation:

To find the missing side, write a proportion using side lengths from each similar shape. A proportion is an equation that sets equal two ratios.

\frac{13}{39}=\frac{12}{y}

Find y by cross multiplying numerator and denominator of each fraction.

13y = 39(12)

13y = 468

y = 36

Find the other missing side by repeating the process.

\frac{13}{39}=\frac{10}{y}

Find y by cross multiplying numerator and denominator of each fraction.

13y = 39(10)

13y = 390

y = 30

The side lengths are 30, 36 and 39.

3 0
3 years ago
If I had $2million to pay for 20 million meals, how much does each meal cost?
natita [175]

Answer:

$0.10

Step-by-step explanation:

Divide 2 million by 20 million:

2,000,000/20,000,000

= 0.1

So, each meal costs $0.10

4 0
3 years ago
A(7x+3)=14x+b<br> What are the values of A and B?
Likurg_2 [28]

Answer:

24

Step-by-step explanation:

I think there the same for each but I hope I helped

5 0
3 years ago
The graph shows the distance a car traveled, y, in x hours:
meriva

Answer:

The correct answer is 30

Step-by-step explanation:

Given: The x-axis represents the time in hours and the y-axis represents the distance in miles.

The line passes through the points (2,60) and (4,120)

To find: The rise-over-run value for the relationship in the graph.

\begin{aligned}m &=\frac{R i s e}{R u n} \\&=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\&=\frac{120-60}{4-2} \\&=\frac{60}{2} \\&=30\end{aligned}

Thus, the rise-over-run value for the relationship represented in the graph is 30.

4 0
3 years ago
Read 2 more answers
An agronomist hopes that a new fertilizer she has developed will enable grape growers to increase the yield of each grapevine by
Phoenix [80]

Answer:

Yes. Fertilization increases grape yields by more than 5 pounds.

Step-by-step explanation:

Let f-fertilized and o-old(unfertilized)

#First, we use our data to calculate the standard error:

SE(\bar y_f-\bar y_o)=\sqrt{\frac{s_f^2}{n_f}+\frac{s_o^2}{n_o}}\\\\=\sqrt{\frac{3.7^2}{44}+\frac{3.4^2}{47}}\\\\=0.7464

#State both null and alternative hypothesis:

H_o:\mu_f-\mu_o=0\\\\H_A=\mu_f-\mu_o>0

#We determine our degrees of freedom as 87.02(using R), we now compute the t-value as:

t=\frac{\bar y_f-\bar y_o}{\sqrt{\frac{s_f^2}{n_f}+\frac{s_o^2}{n_o}}}\\\\\\t=\frac{53.4-52.1}{\sqrt{\frac{s_f^2}{n_f}+\frac{s_o^2}{n_o}}}\\\\\\t=\frac{1.3}{0.7464}\\\\t=1.7417\\\\P=P(t_{87.0>1.7417}=1-0.9575=0.0.0425

Since, the p-value is low, we Reject the null hypothesis. The is enough evidence suggesting that grape yields increase by more than 5 pounds than mean yields of  unfertilized grapes.

8 0
4 years ago
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