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Olegator [25]
3 years ago
5

Christina is packing different books into boxes. The paperback books weigh 0.8 pounds each. The hardcover books weigh 1.3 pounds

each. Christina needs to pack the boxes so that there are at least 20 books in each box, but the boxes cannot weigh more than 30 pounds. Identify Christina's set of constraints. Check all that apply.

Mathematics
1 answer:
Daniel [21]3 years ago
6 0

Answer:

x\geq0, y\geq0, x+y\geq20, and 8x+13y\leq300.

Step-by-step explanation:

Let x and y be the numbers of the paperback book and the hardcover book respectively.

as x and y are the counting numbers, so it will be always positive. So,

x\geq0\;\dots(i) and

y\geq0\;\cdots(ii)

Given that the weight of 1 paperback book=0.8 pounds and

the weight of 1 paperback book=1.3 pounds.

There are at least 20 books in each box, so

x+y\geq20\;\cdots(iii)

As one box cannot weigh more than 30 pounds, so

0.8x+1.3y\leq30

\Rightarrow 8x+13y\leq300\;\cdots(iv)

Now, from the equations (i),(ii),(iii), and (iv), all the sets of constraints as

x\geq0, y\geq0, x+y\geq20, and 8x+13y\leq300.

Moreover, the sets of all the integral values of (x,y) in the shaded region are the feasible numbers of the paperback book and hardcover book.

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Three times x is less then -6 and greater then -21
Alecsey [184]

Answer:

-21 < 3x < -6

OR -6 > 3x > -21

Step-by-step explanation:

Take a part each section of the word form. Translate each section into algebraic form (numbers and symbols) and put the sections back together.

"Three times x": 3x        A number and variable together multiply

"is less than -6": < -6

"and greater than -21": > -21

When writing that a number is > or <, you can also write the number on the other side, change the symbol, and it will mean the same thing.

< -6 is the same as -6 >

> -21  is the same as -21 <

<u>The number remains on the same open or closed side of the symbol.</u>

The problem tells use that "3x" is between -21 and -6. Put the sections back together, but write 3x in the middle.

-21 < 3x < -6

You can also write:

-6 > 3x > -21

You can write them either way, but some teachers prefer smaller number to bigger number from left to right.

5 0
4 years ago
A recipe calls for 5 pounds of flour to make 8 loaves of bread. how much flour is needed to make 1 loaf?
stellarik [79]
5 pounds  ----- 8 loaves
x pounds ------1 loaf

x=5*1/8= 0.625 pounds of flour per loaf
6 0
4 years ago
Write a short story about an event since the quarantine explain how Newton’s 3 law played a role
julia-pushkina [17]

Answer:

Step-by-step explanation:

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Quarantine: hmmm

1# Because of the corona viris, we have to stay at home

8 0
3 years ago
Pls help!! (pic above)
Vlad [161]

Step-by-step explanation:

8(7 - 1) = 8 \times 6 = 48 \\ 8 \times 7 - 8 \times 1 = 56 - 8 = 48 \\ thank \: you

6 0
3 years ago
A baseball player hit 65 home runs in a season. Of the 65 home​ runs, 19 went to right​ field, 23 went to right-center​ field, 9
olchik [2.2K]

Answer:

a) 29.23% probability that a randomly selected home run was hit to right field

b) 29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes. It is said to be unusual if it is lower than 5% or higher than 95%.

(a) What is the probability that a randomly selected home run was hit to right field?

Desired outcomes:

19 home runs hit to right field

Total outcomes:

65 home runs

19/65 = 0.2923

29.23% probability that a randomly selected home run was hit to right field

(b) Was it unusual for this player to hit a home run to right field?

29.23% probability that a randomly selected home run was hit to right field, which is not lower than 5% nor it is higher than 95%. So it was not unusual for this player to hit a home run to right field.

8 0
4 years ago
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