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Svetllana [295]
3 years ago
12

You have $30 to buy baseball cards. each pack of cards costs $5. write and solve an inequality that represents the number of pac

ks of baseball cards you can buy and still have at least $10 left.
Mathematics
1 answer:
Ne4ueva [31]3 years ago
4 0
Your initial inequality is 5x \leq 30

If you want to have at least $10 left, you have to subtract $10 from your total $30. This gives you the inequality, 5x \leq 20. Solve this like it's an equation to get that x \leq 4

:)
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Can someone plz help me no links plz I beg u I’m confused I would really appreciate it
Ghella [55]

Answer: A

Step-by-step explanation:

The maximum amount of weight the truck can carry is 1600lbs. You do not want to exceed 1600lbs, but you can reach 1600lbs. This makes the inequality symbol ≤. This symbol says that the weight load has to be less than 1600lbs, but It can equal 1600lbs. You know that the piano is 400lbs and each box is 50lbs. Since you want to figure out how many boxes you can put on the truck alongside the piano, you can use the inequality: 50x + 400 ≤ 1600.

50 represents pounds per/box

x represents the number of boxes you can hold

400 represents the weight of the piano

1600 represents the max weight.

8 0
2 years ago
Amanda bought new shoes and she received a 25% off discount. If the discount was $17, what was the original price of the shoes?
Ede4ka [16]

Answer:

68

Step-by-step explanation:

6 0
2 years ago
What is the minimum value for the function shown in the graph?<br><br> Enter your answer in the box.
Fudgin [204]

The minimum value is the lowest point of a graphed line. The would be the bottom of the "U" shape.

Looking at the graph you can see that the bottom of the U is touching the horizontal line at x = -5.5, so this would be the minimum value.

The lowest part of the line is at -5.5

5 0
3 years ago
Read 2 more answers
Is (x+7) a factor of f(x) x3-3x2+ 2x-8?
Snowcat [4.5K]

Answer:

(x+7) is not a factor

Step-by-step explanation:

we know that

If (x+7) is a factor of f(x)

then

For x=-7, f(-7)=0

Verify

we have

f(x)=x^{3}-3x^{2} +2x-8

Substitute x=-7

f(-7)=(-7)^{3}-3(-7)^{2} +2(-7)-8

f(-7)=-343-147 -14-8

f(-7)=--512

-512\neq 0

therefore

(x+7) is not a factor

3 0
3 years ago
Mr. Blue drove from Allston to Brockton, a distance of 105 miles. On his way back, he increased his speed by 10 mph. If the jour
andrew-mc [135]

Answer:

His original speed was 60 mph.

Step-by-step explanation:

The average speed formula is shown below:

speed = distance / time

For the first leg of the trip Mr. Blue drove at a speed of "x" mph, for a distance of 105 miles, therefore the time that took to complete the trip is:

time 1 = distance / speed

time 1 = 105 / x h

On the second leg of the trip Mr. Blue drove faster at a speed of "x + 10" mph, so the time it took him to complete the trip was 15 minutes less, therfore:

time 2 = time1 - (15/60) = (105/x) - 0.25 = (105 - 0.25*x)/x h

Applyint the time and speed from the second leg to the average speed formula we have:

x + 10 = {105/[(105 - 0.25*x)/x]}

x + 10 = 105*x/(105 - 0.25*x)

(x + 10)*(105 - 0.25*x) = 105*x

105*x + 1050 -0.25*x² - 2.5*x = 105*x

-0.25*x² -2.5*x + 1050 = 0 /(-0.25)

x² + 10*x - 4200 = 0

x1 = [-(10) + sqrt((10)² - 4*(1)*(-4200))]/2 = 60

x2 = [-(10) - sqrt((10)² - 4*(1)*(-4200))]/2 = -70

Since his speed couldn't be negative the only possible value was 60 mph.

5 0
3 years ago
Read 2 more answers
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