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svetlana [45]
3 years ago
11

X is greater than y by 12 and Z is less than y by 8. If the ratio of x:z is 9:4. What is the ratio of value of Z?

Mathematics
1 answer:
kakasveta [241]3 years ago
5 0

Answer:

B) 16 . . . . the value of Z

Step-by-step explanation:

The problem statement tells us that ...

... x = y +12

... z = y - 8

Then x - z = (y +12) -(y -8) = 20.

In ratio units, we have ...

... x:z = 9:4

The difference of these in ratio units is 9-4 = 5, so each ratio unit must stand for 20/5 = 4 units of X, Y, or Z. Hence ...

... Z = 4·4

... Z = 16

_____

<em>Check by finding the other values</em>

... X = 9·4 = 36

... Y = X -12 = 24 = Z +8 . . . . yes

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Draw a diagram for (x+2)(x+4)
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4 0
4 years ago
The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight-ounce s
Gekata [30.6K]

Answer:

The test results support the claim

Step-by-step explanation:

The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight ounce servings (Coca-Cola Company website, February 3, 2009).

Suppose you are curious whether the consumption of Coca-Cola beverages is higher in Atlanta, Georgia, the location of Coca-Cola’s corporate headquarters.

A sample of 36 individuals from the Atlanta area showed a sample mean annual consumption of 460.4 eight ounce servings with a standard deviation of s = 101.9 ounces. Using α = .05, do the sample results support the conclusion that mean annual consumption of Coca-Cola beverage products is higher in Atlanta?

Hx: u <= 423 oz

Ha: u > 423 oz (claim)

z(460.4) = (460.4-423)/[101.9/sqrt(36)] = 2.2022

p-value = P(z > 2.2022) = 0.0138

Conclusion: Since the p-value is less than 5%

reject Hx at the 5% significance level.

The test results support the claim.

7 0
3 years ago
Simplify (2x2 - 5) - (3x2 + 4).
statuscvo [17]

Answer:

-x² - 9 is your simplified form

Step-by-step explanation:

Combine terms with the same amount of variables.

(2x² - 5) - (3x² + 4)

First, distribute the negative sign to all terms within the second parenthesis

(2x² - 5) - 3x² - 4

Combine like terms

2x² - 3x² = -x²

-5 - 4 = -9

-x² - 9 is your simplified form

~

6 0
3 years ago
Read 2 more answers
(у-4) (3x+5y-2) How do I multiply the following expression?<br>​
muminat

Answer:

3xy + 5y^{2}  - 12x - 22y + 8

Step-by-step explanation:

You will use the FOIL method, which is very similar to the distributive property.

In order to do multiply correctly, multiply the y by 3x, 5y, and -2. You should get:

3xy + 5y^{2}  - 2y

Then multiply the -4 by 3x, 5y, and -2 where you should get:

- 12x - 20y + 8

By using the foil method, you got rid of the parentheses. Now you can simply combine like terms and get your final answer:

3xy + 5y^{2} - 12x - 22y + 8

I hope this helps you!

3 0
3 years ago
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