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Oliga [24]
4 years ago
15

Malcolm is trying a very low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels s

hown in the following compound inequality:
50 < 2x + 10 and 2x + 10 < 110

Solve for x in this inequality, and explain what the answer represents.​
Mathematics
1 answer:
Ludmilka [50]4 years ago
3 0

Answer:

20 < x < 50:

Malcolm should consume between 20 and 50 grams of carbs, exclusively.

Step-by-step explanation:

In the first inequality:

50

In the second:

2x+10

So, 20.

This means that Malcolm should consume between 20 and 50 grams of carbs, excluding 20 and 50.

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The sum of x and 16 is less than 32
OleMash [197]
I'm unsure of the question but this expression can be written as:
16 + x < 32.
This can be simplified to:
x < 16
5 0
3 years ago
A group of 40 children attend a baseball game. Each child received either a hotdog or a bag of popcorn. Hotdogs were $2.25 and p
lions [1.4K]

Answer:

  • 27 hot dogs
  • 13 bags of popcorn

Step-by-step explanation:

Had all received popcorn, the bill would have been 40×$1.75 = $70. The bill was $13.50 more than that. Each hot dog purchased in place of popcorn adds $0.50 to the bill, so the number of hot dogs must be ...

  $13.50/$0.50 = 27

Of course, the remainder of the 40 items were popcorn, so 13 bags of popcorn.

27 hot dogs and 13 bags of popcorn were purchased.

8 0
3 years ago
Kendall's sister had 25 hair clips. 7 of them were blue and the rest were purple.What percent of Kendall's sister hair clips wer
Ludmilka [50]
The answer is 18/25 = .72 or 72%
3 0
3 years ago
If f(a)=(a•a•a)-(a•a) + a-1 what is the value of f(-3)?
Elena L [17]

Answer:

-40

Step-by-step explanation:

f(a) = a³ - a² + a - 1

f(-3) = (-3)³ - (-3)² + (-3) - 1

f(-3) = (-27) - (9) + (-3) -1

f(-3) = -27 - 9 -3 - 1

f(-3) = -40

3 0
3 years ago
Given f(x)=-x+7 and g(x)=f(x+4) write a function for function g
finlep [7]

\begin{array}{llrlll}f(x) = -x +7&~\hspace{10em} &f\left( \boxed{x+4} \right) &=& \boxed{-x+4}+7\\\\&&g(x) &=& -x+11\end{array}

6 0
3 years ago
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