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GREYUIT [131]
2 years ago
12

Solve the equation -x/6greaterthanequalto3

Mathematics
1 answer:
enot [183]2 years ago
3 0

Answer (depending if the fraction is positive or negative):

  1. x ≥ 18
  2. x ≤ -18

Step-by-step explanation:

If the fraction is positive:

  1. Write it out: \frac{x}{6} \geq 3  
  2. Multiply each side by 6 to cancel out the 6 under x. It should now look like this: x ≥ 18

If the fraction is negative:

  1. Write it out: -\frac{x}{6} \geq 3  
  2. Multiply each side by -6 to cancel out the -6 under x. It should now look like this: x ≤ -18

I hope this helps!

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Katie is twice as old as her sister Mara. The sum of their ages is 24. Find their ages.
Alenkasestr [34]
So k=katie's' age
m=mara's age

k is 2 times as old as m
k=2m

sum is 24
add means sum
k+m=24

so we have
k+m=24 and
k=2m
subsitute
2m+m=24
add
3m=24
divide both sides by 3
m=8
subsitute again
k=2m
k=2(8)
k=16

katie=16
mara=8
4 0
3 years ago
Write the standard form of the line that has a slope of -3/4 and y-intercept of -2. Include your work in your final answer. Type
Nataliya [291]

3x + 4y = - 8

The equation of a line in standard form is Ax + By = C

where A is a positive integer and B, C are integers

Express the line in ' slope- intercept form '

y = mx + c → (m is the slope and c is the y-intercept)

here m = - \frac{3}{4} and c = - 2

hence y = - \frac{3}{4} x - 2 → equation in slope- intercept form

multiply all terms by 4

4y = - 3x - 8

add 3x to both sides

3x + 4y = - 8 → in standard form


7 0
2 years ago
Read 2 more answers
Ella's grandmother sewed her a change purse. When she gifted it to her, Ella counted 23 coins already in it. Ella noticed there
juin [17]
The answer to this problem is 17dimes
5 0
3 years ago
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HELP I AM IN A TEST AND SOMEONE DELETED MY OTHER QUESTION BEFORE! AND I STILL NEED HELP PLZ I WILL GIVE BRAINLIEST AND THANKS AN
saw5 [17]

Answer:

2.

30-7x4 = 2

3.

80

Step-by-step explanation:

2.

First, do 7x4, which equals 28. Then subtract that from 30, and you get 2.

3.

Do the parentheses first, 21-6=15. Then 15 divided by 0.2 = 75. 75+5=80.

Sorry I couldn't help on any of the other ones, I don't have much time.

5 0
2 years ago
How do I do this?<br>*Look at the directions in the photo*​
lora16 [44]

Answer:

Area\ of\ material\ required\ for\ the\ first\ box=384\ inches^2\\Area\ of\ material\ required\ for\ the\ second\ box=486\ inches^2\\Area\ of\ material\ required\ for\ the\ first\ box=600\ inches^2\\Total\ Area\ of\ material\ required=1470\ inches^2

Step-by-step explanation:

We\ are\ given:\\Diameter\ of\ the\ first\ volleyball=8\ inches \\Diameter\ of\ the\ second\ volleyball=9\ inches\\Diameter\ of\ the\ third\ volleyball= 10\ inches.\\Hence,\\We\ know\ that,\\If\ the\ side\ of\ the\ cube\ box\ is\ s, it's\ Total\ Surface\ Area\ =No.\ of\\ faces\ in\ a\ regular\ polyhedron\ *Area\ of\ each\ face\ of\ the\ polyhedron=6*s^2=6s^2\\Hence,\\Lets\ apply\ this\ equation\ in\ finding\ the\ area\ of\ material\ required\ for\ the\\ three\ cases.\\

As\ the\ volleyball\ should\ wholly\ fit\ into\ the\ box,\ the\ diameter\ of\ the\\ volleyballs\ would\ be\ the\ side\ of\ the\ cube\ box.\\Hence,\\For\ the\ first\ volleyball,\\Diameter\ of\ the\ first\ volleyball=8\ inches\\Hence,\\Side\ of\ the\ cubical\ box\ for\ the\ first\ volleyball=8\ inches.\\Hence,\\The\ Total\ Surface\ Area\ of\ the\ first\ box=6s^2=6*8*8=384\ inches^2

For\ the\ second\ volleyball,\\Diameter\ of\ the\ second\ volleyball=9\ inches\\Hence,\\Side\ of\ the\ cubical\ box\ for\ the\ second\ volleyball=9\ inches.\\Hence,\\The\ Total\ Surface\ Area\ of\ the\ second\ box=6s^2=6*9*9=486\ inches^2

For\ the\ third\ volleyball,\\Diameter\ of\ the\ third\ volleyball=8\ inches\\Hence,\\Side\ of\ the\ cubical\ box\ for\ the\ third\ volleyball=10\ inches.\\Hence,\\The\ Total\ Surface\ Area\ of\ the\ third\ box=6s^2=6*10*10=600\ inches^2

Hence,\\If\ you\ are\ asked\ the\ Total\ Area\ to\ make\ all\ the\ boxes,\\ you\ just\ add\ them\ together.\\Hence,\\Total\ Area\ of\ Material\ required\ to\ make\ the\ three\ boxes=384+486+600=1470\ inches^2

7 0
2 years ago
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