All categories

1 year ago

-3x-8>19?I have to solve for x

Mathematics

1 answer:

SOVA2 [1]1 year ago

5 0

Solution

For this case we have the following inequality:

-3x-8 >19

We can add 8 in both sides and we got:

-3x > 19 +8

-3x > 27

And then we can divide both sides by -3 and that changes the sign of the inequality and we got:

x < -27/3

x < -9

You might be interested in

Smallest to biggest 0.43,3/7,43.8%,7/16

Snezhnost [94]

First, we need to convert all the givens to decimal numbers. This will ease the arrangement process.
0.43 is already given as a decimal
3/7 is equal to 0.428
43.8% is equal to 0.438
7/16 is equal to 0.4375

Now, it has become easy to arrange the givens from smallest to biggest as follows:
0.428 , 0.43 , 0.4375 , 0.438

Changing the decimals back to the given form, we will find that the arrangement from the smallest to the biggest is as follows:
3/7 , 0.43 , 7/16 , 43.8%

8 0

3 years ago

1.Jon travels 1/2 mile in 1/4 hour. Find the unit rate in miles per hour.

Evgen [1.6K]

So far I got

1 is 2 mph

2 is a 1/2 chance to draw a vowl

5 0

3 years ago

Read 2 more answers

The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

Ber [7]

Answer:

Part 1) The volume of the object is $32\pi\ cm^{3}$ or $100.48\ cm^{3}$

Part 2) see the procedure

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1) What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=3\ cm$

substitute the values

$V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=(10-3)=7\ cm$

substitute the values

$V=\pi (2^{2})(7)=28\pi\ cm^{3}$

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

$4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3}$ ------> exact value

Find the approximate value of the volume

assume

$\pi=3.14$

$32(3.14)=100.48\ cm^{3}$

7 0

3 years ago

Read 2 more answers

Nina's net income was $423.65,and her gross income was $558.What was the total amount of deductions?

kompoz [17]

Gross=amount earned not minusing tax
net=amount earned minus tax

gross=558
net=423.65

deduction=gross-net
deduction=558-423.65=134.35

deduction=$134.35

4 0

3 years ago

Hillary buys 3 pounds of Gala apples and some Granny Smith apples. Both kinds of apples cost $4.50 per pound. The total cost is

Elodia [21]

Answer:

24.75 = 3*4.50 + x*4.50

x= 2.5 pounds of Granny Smith apples

Step-by-step explanation:

Gala apples = 3 lbs

Granny apples = x lbs

They cost 4.50 a pound

Total cost = 24.75

Total cost = gala apples * cost per pound + granny apples * cost per pound

Substitute in what we know

24.75 = 3*4.50 + x*4.50

24.75 = 13.50 + 4.5x

Subtract 13.50 from each side

24.75-13.50 = 13.50-13.50 + 4.5x

11.25 = 4.5x

Divide by 4.50 on each side

11.25/4.5 = 4.5x/4.5

2.5 =x

6 0

3 years ago

Read 2 more answers