Find the sum of 5m + 3n + p, -5p + 3n, and 2n - m.-4m + 8n - 4p

4m + 8n + 4p

4m - 8n - 4p

4m + 8n - 4p

Answers

Answer 1

Answer: After grouping our like pairs we are left with this: 4m, 8n, -4p

The answer is D) 4m+8n-4p

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Roger wraps presents at a local gift shop. If it takes 1.4 meters of ribbon to wrap a present, how many can he wrap if he has 40 meters of ribbon?

Answers

40/1.4= 28.57 Reasonably, he can wrap 28 gifts before running out of ribbon.

33 1/3 percent of 600

Answers

$33(1)/(3)$ × $(1)/(100)$ = $(1)/(3)$
To change percent to fraction/decimal
$(1)/(3)$ ×600=200
Answer: 200

331/3 of 600 331/3×600 100/3×1/600. 1/12×100 =81/3%

Volume of triangles prism 8.9 cm 8cm 14cm

Answers

Answer:

A. 1 1/5

Step-by-step explanation:

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

What a^2-2a-3=0 by solving equations by completing the square

Answers

$a^2-2a-3=0\na^2-2a+1-4=0\n(a-1)^2=4\na-1=-2 \vee a-1=2\na=-1 \vee a=3$

Suppose a varies directly as b, and a=7 when b=2 find b when a =21

Answers

because α varies directley to β
$\alpha = k \beta$
(k = constant)

α=7 when β=2
7= 2k
k= $(7)/(2)$

so when α=21
21= $(7)/(2)$ b
b= 6

Final answer:

To solve for 'b' when 'a' = 21 in a direct variation relationship where 'a' = 7 when 'b' = 2, first determine the constant of proportionality. Then, insert 'a' into the formula and solve for 'b'. The solution of 'b' would be 6.

Explanation:

In this scenario, we are given that a varies directly as b, which means we can state this relationship as a = kb, where k is a constant of proportionality. Initially, we're given that a = 7 when b = 2. From this, we can find that k = a / b, so k = 7 / 2 = 3.5. Therefore, our direct variation equation is a = 3.5b.

When a = 21, we can substitute this into the direct variation equation and solve for b. Thus, 21 = 3.5b, and by dividing both sides by 3.5, we can find that b = 6.

Learn more about Direct Variation here:

brainly.com/question/34355670

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A regular polygon has a perimeter of 14 inches. If the side lengths are a whole number, what polygon could it be? Select All That Applytriangle
square
heptagon
14-gon