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Alexandra [31]
2 years ago
11

Translate the sentence into an inequality.

Mathematics
1 answer:
nataly862011 [7]2 years ago
5 0

The sentence "Four times the sum of a number and 17 is at least −26" translated to an inequality is 4(x+17) ≥ -26

<h3>Translating sentences into inequality </h3>

From the question, we are to translate the given sentence into an equality.

The given sentence is

Four times the sum of a number and 17 is at least −26

Let the unknown number be x

Then,

The sum of a number and 17 will be

x + 17

Then,

Four times the sum of a number and 17 can be written as  

4(x+17)

Now,

"At least -26" means it is greater than or equal to -26

Thus,

Four times the sum of a number and 17 is at least −26 becomes

4(x+17) ≥ -26

Hence, the sentence "Four times the sum of a number and 17 is at least −26" translated to an inequality is 4(x+17) ≥ -26.

Learn more on Translating a sentence here: brainly.com/question/12307434

#SPJ1

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Answer:

The distance the Bensons had traveled from their home 3\frac{1}{2} hours after picking up their grand parents  292.5 miles

Step-by-step explanation:

The given equation for the distance the Benson family traveled from their home can be presented as follows;

d = 55·t + 100

Where;

d = The total distance that the Benson family has traveled from their home after traveling 100 miles to pick up their grandparents

t = The time duration the Benson family have been traveled from their grandparents home on the way to their vacation

To find how far from their home the Bensons will be after 3 1/2 hours of driving with their grand parents, we substitute t with 3 1/2 hours or 3.5 hours as follows;

d = 55·t + 100

When t = 3\frac{1}{2} hours, we get;

d = 55 \times 3\frac{1}{2} + 100 = 292.5  \ miles

Therefore, the distance the Bensons had traveled from their home 3\frac{1}{2} hours after picking up their grand parents = 292.5 miles.

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