MATHEMATICS HIGH SCHOOL

64 is 4 times the difference between Sarah's age, a, and 44. Assume Sarah is older than 44

Answers

Answer 1

Answer: 4(a-44)=64
a-44=16
a=60
Sarah is 60 years old.
Hope this helps.

Answer 2

Answer:

Answer:

4(a-44)=64

Step-by-step explanation:

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How do i convert 35/6 to a mixed number

Answers

The mixed number for 35/6 is 5 5/6

What is a mixed number?

A mixed number is a number consisting of a whole number and a proper fraction.

Given that, what is 35/6 as a mixed number,

When we divide 35 by 6 we get 5 as remainder as 5 will be the quotient,

The mixed number has three parts : a whole number numerator and denominator,

Here, the quotient part is the whole number, the numerator is the remainder and the divisor is in denominator,

Therefore,

The mixed number = 5 5/6

Hence, the mixed number for 35/6 is 5 5/6

Learn more about mixed number, click;

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35/6

= how many times can (6) go into (35)? 5 TIMES.

Remainder (5)

So as a mixed number would be 5 whole number, 5/6.

(5 5/6)

The measurement of one angle of a right triangle is 42°. What is the measurement of the missing angle?

Answers

All triangles have 3 angles that add up to 180 degrees.
All right angle triangles have a 90 degree angle.
You have two angles, 90 and 42.
To find the last one, add 90 and 42. Then subtract that from 180 degrees.

90+42=132
180-132=48

Therefore, the missing angle is 48 degrees.

Answer:

48°

Explanation:

42 + 90 = 132

because all triangle angles add up to 180°, then:

180 - 132 = 48°

Sofia needs to order some new supplies for the restaurant where she works. The restaurant needs at least 566 glasses. There are currently 371 glasses. If each set on sale contains 18 glasses, which inequality can be used to determine xx, the minimum number of sets of glasses Sofia should buy?

Answers

Answer:

371 + 18x ≥ 566

Step-by-step explanation:

We know:

current # of glasses= 371

glasses per set= 18

glasses needed= 566

# of sets= x

At least means she can also have more than 566 glasses, so we will use the ≥ ("greater than or equal to") symbol:

glasses per set⋅# of sets+current # of glasses≥glasses needed

18x+371 ≥ 566

or, by the commutative property of addition,

371+18x ≥ 566

Inequality #2

We could also switch the two sides of the inequality, but we have to be careful which symbol we use. At least means the number of glasses needed should always be less than or equal to the glasses the restaurant has, including the glasses they already had, plus the sets Sofia bought.

Inequality #3

566 ≤ 18x+371

566≤ 371+18x

Inequality #4

Final answer:

To determine the minimum number of sets of glasses Sofia should buy, an inequality can be used. Subtract the current number of glasses from the desired number of glasses and divide by the number of glasses in each set to find the minimum number of sets needed.

Explanation:

To determine the minimum number of sets of glasses Sofia should buy, we need to find the difference between the desired number of glasses and the current number of glasses. The desired number of glasses is given as at least 566 and the current number of glasses is 371. So the inequality we can use is: 566 - 371 ≥ 18x, where x is the number of sets of glasses Sofia should buy.

We subtract 371 from 566 to get 195 and then divide by 18 to find the minimum number of sets of glasses Sofia should buy. Therefore, the minimum number of sets of glasses = 195 ÷ 18 = 10.83. Since we can't have a fraction of a set, Sofia should buy at least 11 sets of glasses.