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3 years ago

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Suppose you took eight math tests this semester. If your average score on your first six tests was 84 and your average score on

all eight tests was 86, then what was the average of your last two test scores? avamarie Apr 27, 2020

1 answer:

iris [78.8K]3 years ago

8 0

Answer: 92

Step-by-step explanation:

Formula : Sum of first n numbers = Average x n

Given: Average score on first 6 tests= 84

A score on all 8 tests = 86

Then, Sum of first 6 numbers = 84 x 6 = 504

Sum of first 8 numbers = 86 x 8 = 688

Sum of two last numbers = (Sum of first 8 numbers) - (Sum of first 6 numbers)

= 688-504

=184

Average of last two numbers = (Sum of two last numbers )÷2

= 184÷2

= 92

Hence, the average of your last two test scores = 92.

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) Tara earns twice as much per hour as Kayte.

Cerrena [4.2K]

Answer:

Austin's hourly wage is $8.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

Tara's hourly wage is x.

Kayte's hourly wage is y.

Austin's hourly wage is z.

Tara earns twice as much per hour as Kayte.

This means that $x = 2y$

Kayte earns $3 more per hour than Austin.

This means that $y = z + 3$

As a group, they earn $41 per hour.

This means that $x + y + z = 41$

What is Austin's hourly wage?

This is z.

$x + y + z = 41$

$y = z + 3$ and $x = 2y$ , so $x = 2(z + 3) = 2z + 6$

$x + y + z = 41$

$2z + 6 + z + 3 + z = 41$

$4z + 9 = 41$

$4z = 32$

$z = \frac{32}{4}$

$z = 8$

Austin's hourly wage is $8.

5 0

3 years ago

Read 2 more answers

Which of the following functions are an example of exponential decay???

Yanka [14]

Answer:

C. II only

Step-by-step explanation:

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7 0

3 years ago

Jamar to the local snack shop near his school He bought 3 hotdogs and 2 bags of chips for $Kenny went to the same snack shop and

lilavasa [31]

Answer:

Marcy paid $4.15

Step-by-step explanation:

Given

Represent hotdogs with x and chips with y.

So, we have:

<u>Jamal</u>

$3x + 2y = 4.85$

<u>Kenny</u>

$5x + 6y = 9.55$

<em>See attachment for complete question</em>

Required

Determine the amount for 2x and 3y

From Jamal's and Kenny's orders we have:

$3x + 2y = 4.85$ --- (1)

$5x + 6y = 9.55$ --- (2)

Multiply (1) by 3

$3 * [3x + 2y = 4.85]$

$9x + 6y = 14.55$ --- (3)

Subtract (2) and (3)

$9x - 5x + 6y - 6y = 14.55 - 9.55$

$9x - 5x = 5$

$4x = 5$

Solve for x

$x = \frac{5}{4}$

$x = 1.25$

Substitute $x = 1.25$ in $3x + 2y = 4.85$

$3 * 1.25 + 2y = 4.85$

$3.75 + 2y = 4.85$

Solve for y

$y = \frac{4.85 - 3.75}{2}$

$y = \frac{1.10}{2}$

$y = 0.55$

So, the cost of 2x and 3y is:

$Cost = 2x + 3y$

$Cost = 2*1.25 + 3*0.55$

$Cost = \$4.15$

7 0

3 years ago

A number between 1 and 20 that has five factors

Fynjy0 [20]

I think its four
because 5x1=5
5x2=10
5x3=15
5x4=20

4 0

3 years ago

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How many times larger is the 7 in the number 7042 than the 7 in the number 427?

e-lub [12.9K]

Answer:

1000

Step-by-step explanation:

To find the value of a digit in a number, set all the other digits to zero.

The value of 7 in 7042 is 7000.

The value of 7 in 427 is 007 = 7.

Then the question is "how many times larger is 7000 than 7?" That result is found by dividing 7000 by 7:

7000/7 = 1000

The 7 in 7042 is 1000 times larger than the 7 in 427.

_____

<em>Another way to consider this</em>

The 7 in 7042 is in the "thousands" place. The 7 in 427 is in the "ones" place. The thousands place is 3 places to the left of the ones place. Each place moved to the left increases the value by a factor of 10, so the value of a digit in the thousands place is 10×10×10 = 1000 times that of the same digit in the ones place.

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3 years ago