Answer:
<h2>170</h2>
Step-by-step explanation:
given:
Ann, Ben, and Cindy were eating strawberries.
The ratio of the numbers of berries they ate is 5:5:7.
If Cindy ate 30 strawberries less than Ann and Ben together,
find:
what is the total number of strawberries the three of them ate?
solution:
add the ratios 5 +5+7 = 17
since Cindy ate 30, less than Ann and Ben together so, the factor is
7x = 5x + 5x - 30
7x - 10x = -30
x = 30/3
x = 10
ann 5 x 10 = 50
ben 5 x 10 = 50
cindy 7 x 10 =<u> 70 </u>
total = 170
Answer:
D) 13.9 in
Step-by-step explanation:
The diagonal of a rectangle is longer than the longest side. It will never be more than 42% of the shortest side longer than the longest side.
Here, the longest side is 11 inches. 42% of the shortest side is about 3.6 inches, so the diagonal length will be between 11 and 14.6 inches. Only one answer choice is in that range: 13.9 in.
Of course, the length of the diagonal can be figured to any desired accuracy using the Pythagorean theorem.
... √(8.5² +11²) = √193.25 ≈ 13.9014 . . . . inches
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<em>Comment on the solution</em>
For this multiple-choice problem, it is sufficient to estimate the length of the diagonal. The estimate we suggested was to add 0.42 times the short side to the long side.
An even closer estimate can be had by multiplying that value (.42×short side) by the ratio of the short to long sides prior to adding it to the long side. This will get you within 1.5% of the correct value without the need for a square root.
Answer:
B and C option is the answer to this question
Step-by-step explanation:
If we see the protractor, we ill see that there is a horizontal line and a slant line. We have to see where the slant line touches the protractor. And as we see that the slant line touches the protractor at two angles which are 150 degree and 30 degree. But since the angle is acute , so 150 degree is not possible . So the correct option is 30 degree.
<u>Answer:</u>
x = -8
<u>Step-by-step explanation:</u>
We are given the following expression which we are to solve for 
:
For this expression, we will make the bases same on both sides of the equation and then equate the exponents equal to each other.
Multiplying the exponents and equating them to get:
x = -8
