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4 years ago

A javelin thrower threw a javelin 148/3 yards. Write this length as a mixed number.

Mathematics

1 answer:

ElenaW [278]4 years ago

6 0

148/3 = 49 1/3 yards

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What is the average rate of change of g over the interval -8≤t≤2? Give an exact number.

soldi70 [24.7K]

Per the plot, looks like g(-8) = 1 and g(2) = -4. Then the average rate of change of g over [-8, 2] is

(g(2) - g(-8)) / (2 - (-8)) = (-3 - 1)/10 = -2/5

3 0

3 years ago

Pete, Chris, and Dina realized that the number of A’s they each received on their report cards were in a ratio of 4:2:5. If Pete

Fiesta28 [93]

Answer:

A's received by Dina is 35.

Step-by-step explanation:

Given

number of A’s received by Pete, Chris, and Dina on their report cards were in a ratio of 4:2:5.

Let the

A's received by Pete = 4x

A's received by Chris = 2x

A's received by Dina = 5x

This, is done so that ratio of 4:2:5 remains intact.

Now, given Pete got 14 more A’s than Chris got

Thus, writing it mathematically

A's got by Pete = A's got be Chris + 14

we will be using A's got Pete and Chris in term of x as defined above

4x = 2x+ 14

=> 4x - 2x = 14

=> 2x = 14

=> x = 14/2 = 7

A's received by Dina = 5x = 5*7 = 35( Answer).

6 0

3 years ago

Mr. Hamilton has 60,000 to invest in a tax-free fund and in a money market fund. The tax-free fund pays 7.5%, and the money mark

Valentin [98]

Answer:

He should invest $31,000 in tax-free to get a return of $4,790

Step-by-step explanation:

Let the amount he will invest in tax-free be $x while the amount in money market be $y

Adding both we have the total;

x + y = 60,000 ••••••••(i)

Then let’s work with the percentages;

7.5% of x + 8.5% of y = 4,790

7.5/100 * x + 8.5/100 * y = 4,790

7.5x/100 + 8.5y/100 = 4790

multiply through by 100

7.5x + 8.5y = 479000 ••••••(ii)

From i, y = 60,000 - x

Put this into ii

7.5x + 8.5(60,000-x) = 479000

7.5x + 510,000 -8.5x = 479000

8.5x - 7.5x = 510,000 - 479,000

x = $31,000

6 0

3 years ago

WILL MARK BRAINLIEST IF YOU GET IT RIGHT.

german

Answer:abd

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Which graph represents a reflection of f(x) = 1/10 (10)x across the y-axis?

choli [55]

F(x) =1/10 (10)x = x
Its reflection across the y-axis gives g(x)= -x
The attached graph represents the given function and its reflection

4 0

3 years ago