Mathematics High School

(repost) Please help! It involves inequalities! Also please include a number line.

Answers

Answer 1

Answer:

-5 ≤ x

Step-by-step explanation:

2(x -3) -5x ≤ 9 . . . . . given

2x -6 -5x ≤ 9 . . . . . . eliminate parentheses

-3x -6 ≤ 9 . . . . . . . . combine like terms

-6 ≤ 9 +3x . . . . . . . add 3x

-15 ≤ 3x . . . . . . . . subtract 9

-5 ≤ x . . . . . . . . . divide by 3

The point x=-5 is included in the solution set, so there is a sold dot at that point. The rest of the solution set is values of x that are greater than that value, so the number line is shaded to the right of that point. Your number line should show an arrow at the right end of the graph to indicate it extends that direction indefinitely. (My graphing program doesn't draw arrows easily.)

_____

Additional comment

Perhaps the most straightforward way to solve this would have been to add 6 instead of 3x. That would give ...

-3x ≤ 15

Then dividing by -3 would give x. That operation would reverse the inequality symbol (because the divisor is negative). Then you would have ...

x ≥ -5

Either way works. We judge it to be less confusing when we don't have to change the direction of the inequality symbol.

Related Questions

Someone please help me with this

Answers

Answer:

0.55=c

Step-by-step explanation:

0.55(2)=c

1.10=c

The total cost is $1.10

What is the best approximation for the circumference of a circle with a radius of 45 cm?

Use 3.14 to approximate pi.

70.65 cm

141.3 cm

282.6 cm

6358.5 cm

Answers

Answer:

282.6 cm

Hope it helps:)

How do the values compare? Order the values from least to greatest.

-1/2
| -2 |
| 1/2 |
| -2 1/2 |
- 2 1/2
1 1/2

Answers

Im pretty sure it would be ordered: -2 1/2, -1/2, |1/2|, 1 1/2, |-2|, |-2 1/2|

This is because
-1/2 stays as -1/2
the absolute value of |-2| is 2
the absolute value of |1/2| is 1/2
the absolute value of |-2 1/2| is 2 1/2
-2 1/2 stays as -2 1/2
and 1 1/2 stays the same as well.
If you take all these numbers (-1/2, 2, 1/2, 2 1/2, -2 1/2, and 1 1/2) and order them from least to greatest, you would get:
-2 1/2, -1/2, 1/2, 1 1/2, 2, 2 1/2
which is -2 1/2, -1/2, |1/2|, 1 1/2, |-2|, |-2 1/2|

Im not exactly sure if it is all correct, but i hope this helps! :)

Jack rode his bike 30 miles 5 hours. At this rate, how long would it take jack to ride one mile?

Answers

Answer:

36 seconds

Step-by-step explanation:

30 / (5 x 60) = 0.01

0.01 hours = 0.6 minutes

0.6 minutes = 36 seconds

Answer:

10 minutes

Step-by-step explanation:

First, we need to convert hours to minutes. 5 x 60 = 300.

300 minutes for 30 miles.

Next, divide both numbers by something to equal 1. (Divide it by 30, because we are trying to get 30 to 1.)

300 divided by 30 = 10

30 divided by 30 = 1

So, it would take Jack 10 minutes to ride 1 mile.

You have a cylindrical pond that has a diameter of 24 feet and has a depth of 6 feet. If you need to fill the pond three-quarters of the way up with water and water costs $2.50 per cubic foot, how much will you need to spend to fill the pond?

Answers

Answer:

$5089.38

Step-by-step explanation:

Given cylinder with:

d = 24 ft, h = 6 ft

We need to fill it up to:

h = 6 ft * 3/4 = 4.5 ft

The volume is:

V = πr²h = π(d/2)²h = π*(24/2)²*(4.5) = 2035.75 ft³ (rounded)

You need to spend:

2035.75 * $2.50 = $5089.38 (rounded)

Please helppp me I need it now

Answers

Answer:

You can either choose B or D.

The answer is A. B & D will make one of the factors equal 0, which will make the statement equal to 0, not greater than. C will make the statements negative, which is less than 0. Your answer is A

How do i find the answer

Answers

Answer:

count them: 12

Step-by-step explanation:

All of the edges are shown in the figure. 9 are visible, and 3 are hidden, as indicated by their being a lighter gray (dotted). You can answer this question by counting the edges.

The total number of edges that a cuboid has is 12.

There are 24 hours in a day. James sleeps 8 hours each night what fraction of the day does James sleep?

Answers

Answer:

1/3 of the day

Step-by-step explanation:

8/24 simplifies to 1/3

8/24 (hours slept by james) = 1/3 (simplified)

graph y= -4/3 x+2 using the slope and y-intercept

Answers

Answer:

i hope this helps or some-what helps

Step-by-step explanation:

I’m very confused! Please help me (I’ll mark brainliest if you explain!)

Answers

Answer:4 **rounds

Step-by-step explanation:

It’s dividing by 2 each time.

Answer:

4 more rounds

Step-by-step explanation:

you will see there is a pattern which is dividing by 2

16/2=8

8/2=4

4/2=2

2/2=1

but since thats not an option i think it would be 8 dont ask its would be eight if not 4

Answer the following for 10 points

Answers

Answer:

Regional metamorphism

Step-by-step explanation:

(all definitions below are NOT my own definitions, but burrowed from trustworthy informational sites)

It is not Sediment Layering because Sediment Layering is sedimentary rocks layers are piled one on top of the other.

It is not Cooling of Magman because Cooling of Magman is elements within the magma combine and crystalize into minerals that form an igneous rock.

It is not Contact Metamorphism because Contact Metamorphism is metamorphism due to contact with or proximity to an igneous intrusion.

It IS regional metamorphism because it is metamorphism affecting rocks over an extensive area as a result of the large-scale action of heat and pressure.

HELP!!! PLEAAASSEEEE

Answers

Answer:

Step-by-step explanation:

please mark brainliest

a company can model the profit it makes on selling an item at price x by using the expression 2000x - 10,500. a second item sold at the same price brings in a profit og 1850x - 11,600. write and simplify an expression that reflects the total profit from the sale of both items

Answers

Profits are simply the difference between the selling price and the cost price of an item.

The expression that represents the total profit is 3850x - 22100

The profit (p1) on the first item is given as:

[tex]p_1 = 2000x - 10500[/tex]

The profit (p2) on the second item is given as:

[tex]p_2 = 1850x - 11600[/tex]

So, the total profit (p) on the sales of both items is:

[tex]p = p_1 + p_2[/tex]

Substitute known values

[tex]p = 2000x - 10500 + 1850x - 11600[/tex]

Collect like terms

[tex]p = 2000x + 1850x- 10500 - 11600[/tex]

[tex]p = 3850x-22100[/tex]

Hence, the expression that represents the total profit is 3850x - 22100

Answers

We can use the formula y2-y1/x2-x1 to find the slope.

1. 2-(-15)/12-5 gives us 17/7. The slope is 17/7.

2. -5-(-20)/6-(-18) gives us 15/24. We can simplify this to 5/8. The slope is 5/8.

3. -19-(-19)/-17-(-18) is 0/1. The slope is 0.

4. -17-3/-11-(-1) is -20/-10. The slope is 2.

PLZZZZZ HELP ME. How many solutions does 2x - 1 = 2x + 3 have? One? Zero? Or Infinite? PLZ HELP ME ITS DUE IN 10 MINSS!!!!!!!!!!!!!!!!!!

Answers

Answer:

No Solution

Step-by-step explanation:

2x - 1 = 2x + 3 Combine the like terms.

0 = 4 Sine this mathematical statement is false (i.e. 0 is not equal to 4), no value of x would satisfy the equation. So there is no solution.

330 is what percent of 750?

Answers

[tex] \frac{330}{750} \times 100 \\ = 44\%[/tex]

4/5=x/100 solve please

Answers

Answer:

x = 80

Step-by-step explanation:

4/5 = x/100

100 · 4/5 = 100 · x/100

100 · 4/5= x

80 = x

x = 80

Hence, The Answer is 80.

7. (6 points) Sam can paint a house in 3 hours. When Sam and Jordan work together, they can paint
2 houses in 5 hours. If Jordan works alone, how long will it take for Jordan to paint one house? Show
all work, and write your final answer as a fraction with units.

Answers

Answer:

1/3 +1/5 per hour

Step-by-step explanation:

hope i helped sorry if i didn't

Jason and Krystal are selling pecan pies and strawberry cheesecakes for a school fundraiserJason sold 9 pecan pies and 8 strawberry cheesecakes for a total of $153. Krystal sold 2 pecan pies and 6 strawberry cheesecakes for a total of $72. If it is possible to find them, what is the cost of each pecan pie and strawberry cheesecake ? If not possible , explain why

Answers

From the equation that was gotten, the value of the pecan pies and the cheesecake will be $9 each.

Based on the information given, the equations to solve the question will be:

9p + 8s = 153 ..... i

2p + 6s = 72 ..... ii

Multiply equation i by 2

Multiply equation ii by 9.

18p + 16s = 306

18p + 54s = 648

Subtract the equations

38s = 342

s = 9

Since 2p + 6s = 72

2p + 6(9) = 72

2p + 54 = 72

2p = 72 - 54.

2p = 18

p = 18/2 = 9

They're both $9 each

Learn more about equations on:

https://brainly.com/question/25678139

Please help me I'm literally gonna cry
How many

How many 3/5 -pound bags of apples are in 3 pounds of apples?

___ bags ( btw the answer is not 0.2)

Answers

Answer:

5 bags, each containing 3/5 pounds of apples

Step-by-step explanation:

3 ÷ 3/5 = 3 x 5/3 = 5

how many 4/5 are in 2

Answers

2 I think I actually don't know but the best guess would be 2

Answer:

1/10

Step-by-step explanation:

Let f(x) = x − 2 and g(x) = x2 − 7x − 9. Find f(g(−1))

Answers

It’s telling you to plug in -1 into the g(x) equation and then ones you get the answer, you plug it into the f(x) equation

(-1)2-7(-1)-9=-4

(-4)-2=-6

it’s -6

PLEASE I AM IN DESPERATE NEED OF HELP

Answers

Answer:

C: H > 60

Step-by-step explanation:

H is 60 in or taller, underlined indicates that it's also 60 in, not just above it.

ANSWER THIS SECOND On a typical night at a restaurant, the patio lights use 210.28 kilowatt-hours of electricity and the courtyard lights use h kilowatt-hours of electricity.

Which of the following expressions represents the total number of kilowatt-hours of electricity the patio and courtyard lights use?
A.
210.28 ÷ h
B.
210.28 - h
C.
210.28 × h
D.
210.28 + h

Answers

Answer: choose the one that is addition... trust me

Step-by-step explanation:

Write 32 as a product of primes. Use index notation when giving your answer.

Answers

Using the LCM method, you divide 32 with smaller prime numbers like 2 until you end up with a number 1

Answer:

[tex]2^{5}[/tex]

Step-by-step explanation:

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1

Then

32 = 2 × 2 × 2 × 2 × 2 = [tex]2^{5}[/tex]

HELPPP my winter break packet is confusing

Answers

true false false true

Answer:

Step-by-step explanation:

318 / 40 = 7.95

each store got 7 boxes of milk

40 x 7 = 280

318 - 280 = 38

38 boxes got stored

true

false

true

Greg is looking for the best deal on a tablet that regularly cost $789 help and compare the price of the tablet at a store with the price on the store website by completing the following. The stores website is offering the tablet 80% discount off the regular price ignoring tax and shipping how much would he pay for the tablet on the stores website

Answers

Answer:

157.8

Step-by-step explanation:

so since its on a 80% discount we want to see how much 80% is on $790 which was its initial price. To find out the percentage of $790 we need to multiply $790 by 0.80 which will equal to 631.2.

the answer is 157.8

you have to subtract 790 with 631.2

LeRoy cut a length of string into 30
pieces, all the same length. If each
piece of string was 13 inches long, how long was the string before he cut it?

Answers

Answer:

390 inches long

Step-by-step explanation:

The string = x

[tex]\frac{x}{30} = 13[/tex]

[tex]30 (\frac{x}{30} ) = 30(13)[/tex]

x = 390 inches

HELPP PLEASEE! pleaseeeeee

Answers

Answer:

a = 14 km

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the base and h is the height

112.7 = 1/2 ( a) 16.1

112.7 = 8.05a

Divide each side by 8.05

112.7/8.05 = a

14 =a

a = 14 km

jonathan sells clothes and makes a 4% commission. On sunday, jonathan sold $768 worth of clothes. How much was his commission on his sunday?

Answers

Answer:

768x4%= 30.72

His commission was $30.72

Step-by-step explanation:

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Weight problems are epidemics in the United States, as is the equally pressing problem of undernourishment. For example, people today eat far too much salt. This salt addiction has been proven to increase the risk for heart disease and stroke, as well as other costly and life-threatening illnesses. The new guidelines give specific recommendations regarding how much daily salt is healthy. However, it's doubtful whether Americans will heed the advice. They'd rather watch cable TV and eat French fries than make changes that would likely prolong their lives. Thankfully, the USDA has become proactive in changing the way we Americans eat. Most people are familiar with the famous food pyramid the agency developed years ago, showing the food groups and servings of each group. However, the agency's guidelines go far beyond the colorful posters hanging in schools across the nation. 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