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max2010maxim [7]
2 years ago
6

Translate the sentence into an inequality.

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

5b + 29 ≤ -25 is the translation of the phrase "the sum of a number times 5 and 29 is at most -25"

<h3>How to translate an English phrase into an algebraic equation?</h3>

Given the phrase in the question;

The sum of a number times 5 and 29 is at most -25.

First, we translate;

Let the unknown number represented by b.

  • A number times 5 ⇒ b × 5 ⇒ 5b
  • Sum ⇒ 5b + 29
  • Inequality sign for at most -25 ⇒ less than or equal to ⇒ ≤ -25

Now we combine the terms;

5b + 29 ≤ -25

We can go and solve for the unknown number.

5b + 29 ≤ -25

Subtract 29 from both sides

5b + 29 - 29 ≤ -25 - 29

5b ≤ -25 - 29

5b ≤ -54

b ≤ -54/5

Therefore, the translation of the phrase is 5b + 29 ≤ -25.

Learn more about inequality here: brainly.com/question/20383699

#SPJ1

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3 years ago
Find the area of a circle that has a diameter of 11 inches. Approximate r as 3.14. Round your answer to the nearest
mylen [45]

Answer:

94.985in^2

Step-by-step explanation:

Given data

Diameter= 11inches

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Substitute

Area= 3.14*5.5^2

Area= 3.14*30.25

Area= 94.985 in^2

Hence the area is 94.985in^2

5 0
3 years ago
Factor the trinomial:<br> -3y^2 + 7y + 20
Sever21 [200]

Answer:

here you goes hope it helps you

Step-by-step explanation:

1

Common factor

−

3

2

+

7

+

2

0

-3y^{2}+7y+20

−3y2+7y+20

−

1

(

3

2

−

7

−

2

0

)

-1(3y^{2}-7y-20)

−1(3y2−7y−20)

2

Use the sum-product pattern

−

1

(

3

2

−

7

−

2

0

)

-1(3y^{2}{\color{#c92786}{-7y}}-20)

−1(3y2−7y−20)

−

1

(

3

2

+

5

−

1

2

−

2

0

)

-1(3y^{2}+{\color{#c92786}{5y}}{\color{#c92786}{-12y}}-20)

−1(3y2+5y−12y−20)

3

Common factor from the two pairs

−

1

(

3

2

+

5

−

1

2

−

2

0

)

-1(3y^{2}+5y-12y-20)

−1(3y2+5y−12y−20)

−

1

(

(

3

+

5

)

−

4

(

3

+

5

)

)

-1(y(3y+5)-4(3y+5))

−1(y(3y+5)−4(3y+5))

4

Rewrite in factored form

Solution

−

1

(

−

4

)

(

3

+

5

)

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4 years ago
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valina [46]

Answer:

Yes.

Step-by-step explanation:

By adding like terms, -x - 2x = -3x. Therefore, they are equivalent.

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