Please help I do not understand this and I would like some help to understand this.

What is the solution set? −9.5x−1.5>−30<br> x= ?

Alborosie

Hi there!

x > 0.073171.
Why?

First to solve we need to add 30x to both sides of the inequality.

-9.5x - 1.5 + 30x > -30x + 30x
20.5x - 1.5 > 0

Next we need to add 1.5 to both sides.

20.5x - 1.5 + 1.5 > 0 + 1.5
20.5x > 1.5

Finally, divide both sides by 20.5.

20.5x/20.5 > 1.5/20.5

x > 0.073171

So our answer is x > 0.073171.

Hope this helps!

7 0

4 years ago

Read 2 more answers

4 glue sticks cost $7.76<br><br> Which equation would help determine the cost of 13 glue sticks?

Elza [17]

Answer:

$y=1.94x$

13 glue sticks cost $25.22.

Step-by-step explanation:

4 blue sticks cost $7.76, this means that one glue stick costs

$7.76/4 = $1.94.

Let $y$ be the cost of the glue sticks, and $x$ be the number of glue sticks; then

$\boxed{y=1.94x}$

We can use this equation to find the cost of 13 glue sticks; we just put $x=13\$ into our equation and it gives:

$y=1.94(13)=25.22$

So 13 glue sticks cost $25.22.

4 0

3 years ago

Read 2 more answers

Use the position equation given below, where s represents the height of the object (in feet), v0 represents the initial velocity

iris [78.8K]

Answer:

(a) 7.5 seconds

(b) The horizontal distance the package travel during its descent is 1737.8 ft

Step-by-step explanation:

(a) The given function for the height of the object is s = -16·t² + v₀·t + s₀

The initial height of the object s₀ = 900 feet

The initial vertical velocity of the object v₀ $_y$ = 0 m/s

The time it takes the package to strike the ground is found as follows;

0 = -16·t² + 0×t + 900

900 = 16·t²

t² = 900/16 = 62.25

t = √62.25 = 7.5 seconds

(b) Given that the horizontal velocity of the package is given as 158 miles/hour, we have

158 miles/hour = 231.7126 ft/s

The horizontal distance the package covers in the 7.5 second of vertical flight = 231.7126 ft/s × 7.5 s = 1737.8445 feet = 1737.8 ft to one decimal place

The horizontal distance the package travel during its descent = 1737.8 ft.

4 0

3 years ago

A stadium has seating accommodation for 3800 people. At a cricket match all seats were taken. If there were 5609 people attendin

umka2103 [35]

Answer:

Step-by-step explanation:

Those standing is the same thing as people who didn't have seats.

Those standing = the total number of people attending - those seated.

Those standing = 5609 - 3800

Those standing = 1809

6 0

3 years ago

You have decided to cash in all of the coins you have been saving for the summer. In total you have $7.20. You only have dimes a

muminat

Answer:

The number of quarters in total = 16 quarters

The number dimes = 32 dimes

Step-by-step explanation:

The given information are;

The total amount of money in held = $7.20

The denomination of the money held = Dimes and quarters

The number dimes = 2 × The number of quarters

Given that a dime = 10 cents = $0.1

A dollar = 25 cents = $0.25

Let the number of quarters in the sum of money = X

Therefore, we have;

X × $0.25 + 2 × X × $0.1 = $7.20

X × $0.25 + X × $0.2 = $7.20

X × $0.45 = $7.20

X = $7.20/$0.45 = 16

Therefore, the number of quarters = 16

The number of quarters in total = 16 quarters

The number dimes = 2 × The number of quarters = 2 × 16 = 32 dimes

The number dimes = 32 dimes.

8 0

3 years ago