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Pani-rosa [81]
3 years ago
6

-8(2r - 8)+ 6 = -3(r + 7)

Mathematics
1 answer:
nordsb [41]3 years ago
4 0

Answer:

r = 7

Step-by-step explanation:

Use the distributive property by multipling the -8 to the 2r and the -8, do the same thing on the other side with the -3.

Afterwards, combine like terms by adding 64 and 6.

Next, add 3r to the left side, I usually choose the number with the variable (the letter) that looks like it will be easier to subtract. This leaves only 21 on the right side.

Next subtract 70 from both sides

Divide -13 by both sides

You should get the answer of r=7

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The ratio of dogs to cats at an animal shelter is 33 to 22. How many dogs are at the shelter if there is a total of 3030 animals
Elena-2011 [213]
D : c = 33 : 22
where d is the number of dogs and c is the number of cats;
and: d + c = 3030
33 c = 22 d  / : 11
3 c = 2 d
From the other equation: c = 3030 - d
3 * ( 3030 - d ) = 2 d
9090 - 3 d = 2 d
5 d = 9090
d = 9090 : 5
d = 1818
Answer: There are 1818 dogs in the shelter.
 
4 0
3 years ago
Jason decided to look at new trucks. Jason found a used truck for 34,000 dollars. A new truck is 40,000 dollars so what percent
nexus9112 [7]

Answer:

Percent of rise of a new truck on a used truck  = 15%

Step-by-step explanation:

Let x be the percentage of saved money if Jason buying a used truck.

Given:

Price of the used truck = $34,000

Price of the new truck = $40,000

We need to find the percent of rise Jason saves on a used truck rather than buying a new truck

Solution:

Using a percentage formula.

percentage\ cost = \frac{(100-x)}{100}\times Original\ cost

Substitute Percentage cost = 34,000 and Original cost = 40,000 in above formula.

34000 = \frac{(100-x)}{100}\times 40000

34000 = (100-x)\times 400                    (\frac{40000}{100}=400)

Using cross multiplication rule.

(100-x)=\frac{34000}{400}

85=100-x

x = 100-85

x = 15%

Therefore, Jason used 15% rise of a new truck for a used truck.

6 0
4 years ago
Please help with these math questions I really need it ! Don't just do it for points pls
steposvetlana [31]

Answer:

wouldn't that be 81 but i dont know

3 0
3 years ago
Read 2 more answers
7 over 14 in its simplest form
eduard

Answer:

1/2

Step-by-step explanation:

Half of 14 is 7 therefore it is 1/2

3 0
4 years ago
A 24 inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece
Anastaziya [24]

F=length of first piece=x; S=length of second piece=2x

T=length of third piece=3x

.

F+S+T=24 inches

x+2x+3x=24 inches

6x=24in

F=x=4in

ANSWER 1: The length of the first piece is 4 inches.

.

S=2x=2(4in)=8in

ANSWER 2: The length of the second piece is 8 inches.

.

T=3x=3(4in)=12 inches.

ANSWER 3: The length of the third piece is 12 inches.

.

CHECK:

F+S+T=24in

4in+8in+12in=24in

24in=24in

7 0
3 years ago
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