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ArbitrLikvidat [17]
3 years ago
14

Label each fifth on the number line. )

Mathematics
1 answer:
Tcecarenko [31]3 years ago
6 0

Step-by-step explanation:

1 for 0/5

2 for 1/5

4 for 2\5

4 for 3\5

4 for 4\5

12 for 5\5

1 for 6\5

1 for 7\5

1 for 8\5

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Ray has found that his new car gets 31 miles per gallon on the highwayand 26 miles per gallon in the city. He recently drove 285
Mkey [24]

Answer:

Highway = 155\ miles

City = 130\ miles

Step-by-step explanation:

Given

Highway = 31mi/gallon

City = 26mi/gallon

Total\ Miles = 285

Total\ Gallons = 10

Required

Determine the number of miles driven on the highway and on the city

Represent the gallons used on highway with h and on city with c.

So, we have:

c + h = 10 ---- gallons used

and

31h + 26c = 285 --- distance travelled

In the first equation, make c the subject

c = 10 - h

Substitute 10 - h for c in the second equation

31h + 26c = 285

31h + 26(10 - h) = 285

Open bracket

31h + 260 - 26h = 285

Collect like terms

31h - 26h = 285 - 260

5h = 25

Make h the subject

h = \frac{25}{5}

h = 5

Substitute 5 for h in c = 10 - h

c = 10 - 5

c = 5

If on the highway, he travels 31 miles per gallon, then his distance on the highway is:

Highway = 31 * 5

Highway = 155\ miles

If in the highway, he travels 26 miles per gallon, then his distance on the highway is:

City = 26 * 5

City = 130\ miles

8 0
3 years ago
Multiply the sum of 7/8 and 3/4 by the differences of 5/36 from 11/13
Anni [7]

Answer:

=-\frac{331}{288}=-1.14930\dots

Step-by-step explanation:

(\frac{7}{8} + \frac{3}{4} )\times (\frac{5}{36} - \frac{11}{13} )\\\\\mathrm{Join}\:\frac{7}{8}+\frac{3}{4}:\quad \frac{13}{8}\\\\=\frac{13}{8}\left(\frac{5}{36}-\frac{11}{13}\right)\\\\\mathrm{Join}\:\frac{5}{36}-\frac{11}{13}:\quad -\frac{331}{468}\\\\=\frac{13}{8}\left(-\frac{331}{468}\right)\\\\=-\frac{13}{8}\times\frac{331}{468}\\\\\mathrm{Cross-cancel\:common\:factor:}\:13\\=\frac{1}{8}\times\frac{331}{36}\\\\=-\frac{1\cdot \:331}{8\times\:36}\\\\=-\frac{331}{288}

4 0
3 years ago
Each time Sarah went to the Candy Shoppe, she bought b bags of M&Ms. Write an expression for how many bags she will buy if s
andrey2020 [161]

Answer:

b  \times 2

Step-by-step explanation:

The reason is because you don't know the Inital amount she bought and because she visits two days in a row you would multiply

6 0
1 year ago
-6y^2 + 9y^2 - y - 9 - 7y^2 + 1 + 10y + 3y
taurus [48]

Answer: -4y^(2)+12y-8

Step-by-step explanation: Combine like terms

6 0
3 years ago
Read 2 more answers
6w^3 - 13 the GCF ? or is this a prime?
svetoff [14.1K]
It is a prime because the only other factor of 6w^3-13 is 1.
7 0
4 years ago
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