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patriot [66]
3 years ago
15

Carson's wheelbarrow can hold 345 pounds. If he has 121 pound of rock in the wheelbarrow what number of pounds p can he pull wit

hout going over the weight limit
Mathematics
1 answer:
dangina [55]3 years ago
7 0

Answer:

p\leq 224\ lb

The maximum number of pounds p is 224

Step-by-step explanation:

Let

p ----> the maximum number of pounds he can pull without going over the weight limit

we know that

121 pound of rock in the wheelbarrow plus p pounds must be at most 345 pounds

In this problem the word "at most" means "less than or equal to"

so

The inequality that represent this situation is

p+121\leq 345

solve for p

subtract 121 both sides

p\leq 345-121

p\leq 224\ lb

therefore

The maximum number of pounds is 224

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They are the same
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2 years ago
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Construct 3 linear equation starting with qiven solution z = 1/3
Andreyy89

Answer:

(a)9z+2=5

(b)21z-11=-4

(c)4z=2-2z

Step-by-step explanation:

We are required to construct 3 linear equations starting with the given solution z = 1/3.

<u>Equation 1</u>

<u />z=\frac{1}{3}<u />

Multiply both sides by 9

9z=\frac{1}{3}\times 9\\9z=3

Rewrite 3 as 5-2

9z=5-2

Add 2 to both sides

Our first equation is: 9z+2=5

<u>Equation 2</u>

<u />z=\frac{1}{3}<u />

Multiply both sides by 21

21z=\frac{1}{3}\times 21\\21z=7

Rewrite 7 as 11-4

21z=11-4

Subtract 11 from both sides

Our second equation is: 21z-11=-4

<u>Equation 3</u>

<u />z=\frac{1}{3}<u />

Multiply both sides by 6

6z=\frac{1}{3}\times 6\\6z=2

Rewrite 6z as 4z+2z

4z+2z=2

Subtract 2z from both sides

Our third equation is: 4z=2-2z

4 0
3 years ago
Mr. &amp; Mrs. Thompson drove 300 miles in October. They drove 2 times as many miles in December as they did in October. They dr
Marina86 [1]

Answer:1200 miles

Step-by-step explanation:

Given

Mr. and Mrs. Thompson drove 300\ miles in October

They drove 2  times as many miles in December

so they drove 2\times 300=600\ miles in December

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So they drive 1200 miles in November

7 0
3 years ago
Mr. Rivera is making a healthy dessert for his nephew who has diabetes. He wants
kvasek [131]

Answer:

Apple crisp has 10 grams of sugar per serving.  

Greek frozen yogurt has 5grams of sugar per serving.

The recipe with the least amount of sugar per serving is the Greek frozen yogurt.

Step-by-step explanation:

Hi, to answer this question we have to divide the amount of grams of sugar by the number of servings for each case.

Apple crisp: 80 grams ÷8 servings =80 /8 = 10 grams of sugar per serving.

Greek frozen yogurt: 60 grams ÷12 servings =60 /12 = 5 grams of sugar per serving.

So, in conclusion:

Apple crisp has 10 grams of sugar per serving.  

Greek frozen yogurt has 5grams of sugar per serving.

The recipe with the least amount of sugar per serving is the Greek frozen yogurt, because 5<10.

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