Which of the following number line graphs shows the solution set of 3|x| + 1 > 7?

Answer:

x = 28

Step-by-step explanation:

2x - 28 = x

-2x         -2x

- 28 = - x

/-x       /-x

28 = x

x = 28

Answer:

SOH CAH TOA

Little triangle first - hypotenuse is 4, now we used this info help us find the opposite.

Opposite & Hypotenuse - Sin

Sin(45) = O/H

Sin(45) = O/4

x 4 both sides, to get Opposite

Opposite = 4 x Sin(45)

= 2 root 2

= 2.8284.......

Big Triangle next,

Opposite is 2.8284......

Y is the adjacent

Opposite & Adjacent - Tan

Tan (30) = O/A

Tan(30) = 2.8/A

x A

A x Tan(30) = 2.8

÷Tan(30)

A = 2.8 ÷ Tan(30)

A= 2 root 6

A= 4.8989...

So, y is 5 to 1 significant figure

Or

Y = 4.9 to 1d.p

(Haven't rounded anything in my calculation, even though it's shown that way, in my workings. So, you can follow along)

Hope this helps!

Answer:

5. the other angle has to be 2x because of the other lines being equals so

2x+2x+x-15=180

5x-15=180

5x=195

x=19

6. the other two angle is ajacent to the other two so

3x+17+3x+17+x-9+x-9=360

8x+16=360

8x=344

x=43

7. this ones pretty simple

2x-4+3x+5+2x+11=180

7x+12=180

7x=168

x=24

8. this one to

x+x+4+3x-9=90

5x+5=90

5x=85

x=17

Hope This Helps!!!

Answer:

yards: 14080

miles: 8

that's basically it

Answer:

14080 yards

Step-by-step explanation:

A yard is 1/1760 mile, meaning 1 mile = 1760 yards.

5 miles + 3 miles = 8 miles

8 miles to yards = ?

8 x 1760 = 14080.

The Sims family drove 14.08k yds or 14080 yards.

Answer:

1.7543859649. . . . . . . .. .

Answer:

$0.57

Step-by-step explanation:

$4.56/8 = 0.57

so the cost to ship one ounce is $0.57

Answer:

[tex]y = -\frac54x -7[/tex]

Step-by-step explanation:

Slope:

Y-intercept:

y = -5/4x -7

-Chetan K

Answer: Look at explanation

Step-by-step explanation:

32 = 2 x 2 x 2 x 2 x 2

27 = 3 x 3 x 3

16 = 2 x 2 x 2 x 2

No as 32 can be broken down to 8 and 4 and not just pime and not prime

Answer:

B, C, E

100 - (3x+12)

(100 - 12) - 3x

100 - (x+x+x) - 12

Step-by-step explanation:

they are all saying the same thing, just rearranged and the last one is 3x expanded

Answer: I think it’s 647.96

Step-by-step explanation:

warning: this is not the exact value (it’s rounded)

First you find the height of the traingle

To do that, do pythagoras theorem

square root 36 squared minus 25.5 squared

then use formula for area of a triangle

Answer:

Answer is 5

Step-by-step explanation:

You say 3 divided by 3 /5 = 5

Hope answer helps you

Answer:

2 rhombus

3 parallelogram

Answer:

45cm^2

Step-by-step explanation:

we have two shapes in the diagram a square and a triangle so we find the area of each of them and add them together

finding the area of a square

we have area= s×s

area = 7×5

area = 35cm^2

finding the area of a triangle

1/2 ×b×h

1/2×4×5

area = 10cm^2

so we add together

total area = 35+ 10

area = 45cm^2

Answer:

that would be:::

2(p+q)

Solution:

Given:

Let's substitute the values of Length, Breadth, and Height to obtain the volume of the tank.

Now, let's convert meters into liters.

Hoped this helped!

Answer:

see explanation

Step-by-step explanation:

Using the identity

cos²Θ = 1 - sin²Θ

Consider the left side

sin²Θ - cos²Θ

= sin²Θ - (1 - sin²Θ ) ← distribute parenthesis by - 1

= sin²Θ - 1 + sin²Θ

= 2sin²Θ - 1

= right side , thus verified

Answer: 62.8

Step-by-step explanation:

2 x 3.14 x 10

Answer:

62.83

Step-by-step explanation:

2 x 3.14 is approx 62.83185 or 62.83

if im wrong let me know please.

Chad's house is 3/8 units farther away than Kelly's house.

By reading the number line, we can see that:

These fractions are the positions of each location. We want to find how much farther is Chad's house than Kelli's house from the library, this is given by:

(Chad's house position - library position) - (Kelli's house position - library position)

Writting the fractions, we get:

(7/8 - 0) - (4/8 - 0)  = 3/8

So Chad's house is 3/8 units farther away than Kelly's house.

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149

Answer: 3/8

Step-by-step explanation: 7/8 -4/8 equals 3/8

Answer:

-x/8 - x

Step-by-step explanation:

Answer:

n = -(9/8)x

Step-by-step explanation:

Solve for n:

-Chetan K

Answer: 8 spools

Step-by-step explanation:

There are 12 apartments, and each apartment will need 60 meters of cable, so 12×60= 720 meters of cable needed.

If each spool only has 100 meters and he needs 720 meters, then 720÷100= 7.2. So he would need to purchase at least 8 spools, and will have 80 meters left over.

Answer:

They can stay 16 days.

Step-by-step explanation:

3500 - 987 = 2,513

2,513 divided by 150 = 16.7

*They can't stay 16.7 days, so you have to round down. Rounding up will go out of their budget.*

Checking answer:

16 x 150 = 2,400

2,400 + 987 = $3,387

- I'm sure this isn't how your teacher wants you to solve it but this is just how I solved it, I hope this helps!

Step-by-step explanation:

Equation: 987 + 150x = 3500

x represents the number of days the family is staying at the park.

Solve.

Subtract 987 from both sides:

[tex]150x = 2513[/tex]

Divide each side by 150:

[tex]x= 16.75[/tex]

16.75 is decreased to 16, it's impossible to stay for 16.75 days.

The family can stay in the park for 16 days.

Answer: The first four terms are 33/4, 63/8, 15/2, and 57/8.

Step-by-step explanation: To make it easier, turn 8 1/4 into an improper fraction: 33/4. 33/4=66/8. Because the denominator is the same, it’s easier to subtract.

66/8 - 3/8 = 63/8

63/8 - 3/8 = 60/8

60/8 - 3/8 = 57/8

The first 4 terms in the sequence are 66/8, 63/8, 60/8, and 57/8. But we’re not done b/c we need to simplify. That means the first four terms are 33/4, 63/8, 15/2, and 57/8.

Linear functions are functions that change at a constant rate

The linear function that models the data is [tex]P(x) = 0.025x -49.695[/tex]

From the question, we have the following ordered pairs

(x,P(x)) = (2005,43%) and (2011,58%)

Start by calculating the slope (m)

[tex]m = \frac{P(x2) - P(x1)}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{58\% - 43\%}{2011 - 2005}[/tex]

Evaluate the differences

[tex]m = \frac{15\%}{6}[/tex]

Evaluate the quotient

[tex]m = 2.5\%[/tex]

The linear function is then calculated as:

[tex]P(x) = m(x - x_1)+ P(x_1)[/tex]

So, we have:

[tex]P(x) = 2.5\%(x - 2005) + 43\%[/tex]

Rewrite as:

[tex]P(x) = 0.025(x - 2005) + 0.43[/tex]

This gives

[tex]P(x) = 0.025x -50.125 + 0.43[/tex]

[tex]P(x) = 0.025x -49.695[/tex]

Hence, the linear function that models the data is [tex]P(x) = 0.025x -49.695[/tex]

Read more about linear functions at:

https://brainly.com/question/15602982

Answer:

9, 30, 27

Step-by-step explanation:

To find the perimeter, you must add up each side. In this scenario, we know that the perimeter is 66 feet. We also know the sides, which are n, 3n+3 and 4n-9.

So, we must add the sides to get 66 feet.

n+3n+3+4n-9=66

Combine like terms, and solve:

(n+3n+4n)+(3+-9)=66

8n+-6=66

8n-6=66

n=9

So if n=9, we can easily find the value of the other sides.

3(9)+3=30 feet.

4(9)-9=27 feet

So, the sides are 9, 30, and 27 feet (in order).

Answer:

1:2

Step-by-step explanation:

this would be the answer as 1 2/3: 2 2/3 are the same as 1:2 if you cancel out the 2/3 from both sides.

Answer:

5 : 8

Step-by-step explanation:

1 [tex]\frac{2}{3}[/tex] : 2 [tex]\frac{2}{3}[/tex] ( change both mixed numbers to improper fractions )

= [tex]\frac{5}{3}[/tex] : [tex]\frac{8}{3}[/tex] ( multiply both parts by 3 to eliminate the fractions )

= 5 : 8

Answer:

230

Step-by-step explanation:

multiply 12 by 15 and add it onto the 50 to get your answer!

Have a good day!