Equivalent ratio for 5:9

Todd’s average score for six tests was 92. If the sum of the scores of two of her tests was 188, then what was her average score

natita [175]

Answer:

91

Step-by-step explanation:

Todd’s average score for six tests = 92.

The sum of two of her test = 188

First, we need to find the total score for the six test. This given below:

Average = sum of all test / number of test

sum of all the test = average x number of test

average score for six tests = 92.

Number of test = 6

Sum of all the Tests = 92 x 6 = 552

Sum of four test = sum of all the test — sum of two test

Sum of four test = 552 — 188 = 364

Now we can solve for the average of the other four test as shown below:

Average of four test = 364/4= 91

3 0

3 years ago

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A boat crew rowed 10.5 miles downstream, with the current, in 1.5 hours. the return trip upstream , against the current , covere

alukav5142 [94]

Answer:

The speed of the boat is 5 miles per hours

The speed of the current is 2 miles per hours .

Step-by-step explanation:

Given as :

The distance cover by boat downstream = D = 10.5 miles

The time taken by boat to cover D distance = T = 1.5 hours

The distance cover by boat Upstream = d = 10.5 miles

The time taken by boat to cover d distance = t = 3.5 hours

Let The speed of boat = x mph

Let The speed of current = mph

Now, According to question

∵ Speed = $\dfrac{Distance}{Time}$

For Downstream

x + y = $\dfrac{D}{T}$

Or, x + y = $\dfrac{10.5}{1.5}$

Or, x + y = 7 .......A

For Upstream

x - y = $\dfrac{d}{t}$

Or, x - y = $\dfrac{10.5}{3.5}$

Or, x - y = 3 .......B

Now, Solving eq A and eq B

So, (x + y) + (x - y) = 7 + 3

Or, (x + x) + (y - y) = 10

Or, 2 x + 0 = 10

∴ x = $\dfrac{10}{2}$

i.e x = 5 mph

So, The speed of the boat = x = 5 miles per hours

Put the value of x into eq A

∵ x + y = 7

Or, 5 + y = 7

∴ y = 7 - 5

i.e y = 2 mph

So, The speed of the current = y = 2 miles per hours

Hence, The speed of the boat is 5 miles per hours and The speed of the current is 2 miles per hours . Answer

7 0

3 years ago

What is the value of a yearly compensation package that includes a $54,000 salary, the full cost of a $250-per-month health insu

Ivahew [28]

$250 \times 12 = 3000$
$40 \times 12 = 480$
$54000 + 3000 + 480 = 57480$
the answer is C

5 0

3 years ago

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Solve the following system of equations. Enter the x-coordinate of the solution. Round your answer to the nearest tenth.

Sergeu [11.5K]

Answer: 3.7

Step-by-step explanation: 3.706, but since you need it rounded to the nearest tenth its 3.7. If you put both equations on a graph, they intercept. We use the x coordinate in this intersection as the answer.

3 0

3 years ago

Find the diameter and circumference of a circle with the radius of 13.1 km.

Alexandra [31]

R = 13.1
so
diameter = 13.1 x 2 = 26.2 km
circumference = 2 pi r = 26.2 pi km
or
circumference = 26.2 x 3.14 = 82.27 km

4 0

3 years ago