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 1

Answer:

Answer:

371 + 18x ≥ 566

Step-by-step explanation:

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?

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

Answer 2

Answer:

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.

Learn more about Inequality here:

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PLEASE HELP!!!!

Consider the relationship between the place values of the 4s in this number. 444.44 Choose all answers that are correct.

A.

The 4 in the hundredths place is 10 times the value of the 4 in the tenths place.

B.

The 4 in the tens place is 10 times the value of the 4 in the ones place.

C.

The 4 in the hundredths place is times the value of the 4 in the tenths place.

D.

The 4 in the hundreds place is times the value of the 4 in the tens place.

Answers

Let's review all the answers that it could be.
A. The hundredths place is 10 times smaller than the tenths place, so the answer cannot be A.

B. This one makes sense, 10 is 10 times greater than 1 so the answer should be B, but let's just check the others to be sure.

C. This is the same as answer A. Hundredths is actually smaller than tenths, so the answer cannot be C.

D. This one does not give adequate information.

I believe the answer is B.The 4 in the tens place is 10 times the value of the 4 in the ones place.

What's the square root of 119?

Answers

10.90871211463571 is the square root of 119

What is the average rate of change from x=-1 to x=-2

Answers

the average rate of change from x=-1 to x=-2 is +3

Help please!!! Anything would be appreciated :3

Answers

Assuming it’s a regular polygon :225

Which equation can be used to represent six added to twice the sum of a number and four is equal to one-half of the difference of three and the number?

Answers

six added to twice the sum of a number and four is equal to one-half of the difference of thee and the number.

Let x be the number.

6 + 2(x + 4) = 1/2 * (3-x)

Find the value of x.

6 + 2x + 8 = 3/2 - x/2
2x + x/2 = 3/2 - 8 - 6
2x + x/2 = 3/2 - 14
2(2x + x/2) = 2(3/2 - 14)
4x + x = 3 - 28
5x = -25
x = -25/5
x = -5

To check: x = -5

6 + 2(x + 4) = 1/2 * (3-x)

6 + 2(-5+4) = 1/2 * (3 - (-5))
6 + 2 (-1) = 1/2 * (3 + 5)
6 - 2 = 1/2 (8)
4 = 4

Answer: Opion A

(A) 6 + 2(X + 4)= 1/2(3-X) <=========+ 100 %

Step-by-step explanation:

Hey! Im counting on you guys!Ken drove 174 miles in 3 hours. The equation y = 57x represents the distance in miles, y, Brenda drove in x hours. Determine who had the faster driving speed and by how much.

Please form your answers like so:
Of the two drivers, (...) had the faster driving speed by (...) mile(s) per hour.