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Nana76 [90]
3 years ago
5

?

Mathematics
1 answer:
Snezhnost [94]3 years ago
8 0
Each girl will get 4 tangerines
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Scott bought a pen and received change of $4.75 in 25 coins, all dimes and quarters. How many of each kind did he receive?
dangina [55]

Answer:

He received 10 dimes and 15 quarters.

Step-by-step explanation:

Dimes = $0.10

Quarters = $0.25

Variable x = dimes

Variable y = quarters

Create a pair of linear equations:

0.10x + 0.25y = 4.75

x + y = 25

Isolate any variable, using an equation of your choice:

x + y = 25

x = 25 - y

Plug in this new value of x into the other equation:

0.10(25 - y) + 0.25y = 4.75

Use the distributive property:

2.5 - 0.10y + 0.25y = 4.75

Combine like terms:

2.5 + 0.15y = 4.75

Isolate variable y:

0.15y = 2.25

y = 15

Plug in the value of y into any equation:

x + y = 25

x + 15 = 25

Isolate variable x:

x = 10

7 0
2 years ago
Which of the following equations is equivalent to the equation 6x-y=1
kondaur [170]
A. 6x-y=1 can go to 6x-y-1=0 and then 6x-1 = y 
3 0
3 years ago
Read 2 more answers
Which of the following statements demonstrates the associative property of multiplication? 4 ∙ (3 ∙ 6) = (4 ∙ 3) ∙ 6 6 ∙ 4 = 4 ∙
torisob [31]

Answer:

4 ∙ (3 ∙ 6) = (4 ∙ 3) ∙ 6

Step-by-step explanation:

The associative property of multiplication states that rearranging the parentheses in an expression will not change the result, as shown.

6 0
2 years ago
A researcher claims that the average annual salary of part-time community college instructors is at least $45,000. To test this
Doss [256]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- The researcher claims :

" the average annual salary of part-time community college instructors is at least $45,000 "

- We will extract the claim made by the researcher to be the Null hypothesis:

                     Null Hypothesis : μ ≥ $45,000

- Any statement otherwise, or point of rejection criteria will denote the Alternate hypothesis that disbands the claim that:

" the average annual salary of part-time community college instructors is less than $45,000 " :

                    Alternate Hypothesis : μ < $45,000

- This type of test with a sample size of n = 25 < 30 and population standard deviation is also not given hints the use t-test statistics and t-critical value reject the claim.

                     Lower tail - one sample - T-test.

6 0
2 years ago
F(x) = xWhat is g(x)?
Tatiana [17]

Answer:

D.

Step-by-step explanation:

I don't really know how to explain this over a computer, but it is correct.

Hope that this helps!

6 0
3 years ago
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