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Delvig [45]
3 years ago
9

Help please!!! Solve the inequality. Show your work.

Mathematics
2 answers:
Rashid [163]3 years ago
7 0
| r + 3 | > 7

r + 3 > 7       r + 3 < -7
r > 7 - 3        r < -7 - 3
r > 4             r < -10

so, r > 4 and r < -10
==========================
what percent of 60 is 12
percent formula : is/of = %/100
percent = x
is = 12
of = 60
now sub
12/60 = x/100
cross multiply
60x = 12 * 100
60x = 1200
x = 1200/60
x = 20%


ArbitrLikvidat [17]3 years ago
4 0
Hey there, 

Lets solve this equation together , 

<span>Break down the problem into these 2 equations 
</span>
r+3\ \textgreater \ 7&#10;

-(r+3)\ \textgreater \ 7 

Solve the 1st equation: <span>r+3><span>7
</span></span>
--------------<span>Subtract </span>3<span> from both sides</span>

r\ \textgreater \ 7-3 

-------------- Simplify <span>7−3 </span><span>to </span><span>4 

</span>r\ \textgreater \ 4 

Solve the 2nd equation: <span>−(r+3)≥<span>7 
</span></span><span>
----</span><span>Simplify brackets
</span>
-r-3\ \textgreater \ 7 

---- Add 3<span> to both sides 
</span>
-r\ \textgreater \ 7+3 

 ----- Simplify <span>7+3</span> to <span>10 

</span>-r\ \textgreater \ 10 

---- Multiply both sides by <span>−1 

</span>r\ \textless \ -10  

<span>Collect all solutions 
</span>r\ \textgreater \ 4&#10; 

r\ \textless \ -10


≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
<span>
Question # 2 

</span>12/60 = x/100 

cross multiply

60x = 12 * 100&#10;&#10;60x = 1200&#10;&#10;x = 1200/60&#10;&#10;x = 20%

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monkeys at the zoo eat 4 cups of food everyday. Elephants eat 76 times as much. Which equation and solution represent the number
Lerok [7]

Answer:

Equation: 4(76) = Cups of food elephants eat per day

Solution: Elephants eat 304 cups of food per day.

Step-by-step explanation:

Monkeys eat 4 cups.

Elephants eat 76 times as much.

The phrase “times as much” means to multiply.

4 multiplied by 76 = Cups of food elephants eat per day.

4 (76) = 304

Elephants eat 304 cups of food per day.

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4 years ago
Which equation correctly represents the distance between −15.1 and −3.9 on a number line?
Korvikt [17]

Here what we observe

  • -3.9>-15.1

So as we know about subtracting lowest number is subtracted from highest no

So here

\\ \tt\longmapsto -3.9-(-15.1)=|-11.2|=11.2

Distance must be positive

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3 years ago
A farmer's land is separated into sections of size 3 3/4 acres. Suppose there are 2 1/5 such sections. How many acres of land do
Nadusha1986 [10]

Answer:

This is simple multiplication of fractions, not too bad!

we have 2 7/9 sections of farmland, each 2 1/5 acres large. To find the total acreage, multiply 2 1/5 by 2 7/9. The first step here is to convert to improper fractions.

To convert to improper fractions, multiply the denominator of the mixed number by the "whole number" portion of it. Then, add the numerator of the mixed number. For example, for 2 1/5, I would multiply 5 * 2 to get 10, then add 1 to get 11. Then, I keep the original denominator, so 11/5.

Let's do the same for 2 7/9. 9 * 2 = 18, then add 7 to get 25. The improper fraction is 25/9.

Now, we multiply the two fractions. This is just multiplying both numerators and both denominators, straight across.

(11*25)/(9*5) = 275/45 => 55/9, so that's the total acreage, or in decimal form, about 6.11 acres.

4 0
3 years ago
Read 2 more answers
Solve the proportional equation below: m+9/4=m+6/5
castortr0y [4]

Answer:

0=−21/20

0Step-by-step explanation:

8 0
3 years ago
Solve the system of equations by using substitution.
Flauer [41]

Answer:

x = -3 , y = 2 thus D) is your answer

Step-by-step explanation by substitution:

Solve the following system:

{-9 = x - 3 y

6 - 2 x = 6 y

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for x:

{-9 = x - 3 y

6 - 2 x = 6 y

Hint: | Reverse the equality in -9 = x - 3 y in order to isolate x to the left hand side.

-9 = x - 3 y is equivalent to x - 3 y = -9:

{x - 3 y = -9

6 - 2 x = 6 y

Hint: | Solve for x.

Add 3 y to both sides:

{x = 3 y - 9

6 - 2 x = 6 y

Hint: | Perform a substitution.

Substitute x = 3 y - 9 into the second equation:

{x = 3 y - 9

6 - 2 (3 y - 9) = 6 y

Hint: | Expand the left hand side of the equation 6 - 2 (3 y - 9) = 6 y.

6 - 2 (3 y - 9) = (18 - 6 y) + 6 = 24 - 6 y:

{x = 3 y - 9

24 - 6 y = 6 y

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for y:

{x = 3 y - 9

24 - 6 y = 6 y

Hint: | Isolate y to the left hand side.

Subtract 6 y + 24 from both sides:

{x = 3 y - 9

-12 y = -24

Hint: | Solve for y.

Divide both sides by -12:

{x = 3 y - 9

y = 2

Hint: | Perform a back substitution.

Substitute y = 2 into the first equation:

Answer:  {x = -3 , y = 2

5 0
3 years ago
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