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Find the value of 8/15×2/13 Although these numbers aren't quite as nice as the ones from the example, the procedure is the same,

xz_007 [3.2K]

Answer:

$\frac{16}{195}$

Step-by-step explanation:

To obtain the result of a fractions multiplication we need to multiply both numerators and the divide by the multiplication of the denomitators. In general, given a,b,c,d real numbers with b and d not zero, we have that

$\frac{a}{b}*\frac{c}{d}=\frac{a*c}{b*d}$

Substituting a,b,c and d for 8,15,2 and 13 we obtain that

$\frac{8}{15}* \frac{2}{13} =\frac{16}{195}$

3 0

4 years ago

Expand form 16(2x - 1)

Margarita [4]

Answer:

32x - 16

Step-by-step explanation:

16(2x - 1)

16 • 2x - 16

32x - 16

7 0

3 years ago

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Each grade level at Hooperville Schools has 298 students.

madreJ [45]

Answer:

(a) 3,874 students.

(b) 46,488 students.

Step-by-step explanation:

We have been given the each grade level at Hooperville Schools has 298 students.

(a) To find the number of students that attend Hooperville Schools, we will multiply the number of grades by 298.

$\text{Students that attend Hooperville Schools}=13\times 298$

$\text{Students that attend Hooperville Schools}=3,874$

Therefore, 3,874 students attend Hooperville Schools.

(b) We have been given that nearby district, Willington, is much larger. They have 12 times as many students.

To find the number of students that attend schools in Willington, we will multiply number of students at Hooperville schools by 12.

$\text{Students that attend Willington Schools}=12\times 3,874$

$\text{Students that attend Willington Schools}=46,488$

Therefore, 46,488 students attend schools in Willington.

4 0

3 years ago

Mary drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Mary drove h

ELEN [110]

There are two separate equations for this question that use the same variable.

Mary took 7 hours to complete a trip with traffic. This would use the following expression:

$7x$

Mary took 4 hours to complete the same trip without traffic. The average rate of speed was 27 mph faster than the trip with traffic. This uses the following expression:

$4(x+27)$

Both trips had the same distance. From the information provided, we can set up the following equation:

$7x = 4(x+27)$

x represents the average rate of speed on both trips.

Distribute 4 to each term in parentheses:

$4 \times x = 4x$
$4 \times 27 = 108$

$7x = 4x + 108$

Subtract 4x from both sides:

$3x = 108$

Divide both sides by 3 to get x by itself:

$x = 36$

The average speed for the slower trip is 36 mph.

We can plug this value into the first equation:

$7(36) = 7 \times 36 = 252$

Mary lives 252 miles away from the mountains.

7 0

3 years ago

What transformation takes the graph of f(x)=2x+3 to the graph of g(x)=2x+4 ?

sineoko [7]

Correct me if i am wrong. But It has to be 1 unit right, it also be 1 unit up as well...Answer: 1 unit up / right.

Step-by-step explanation:

4 0

3 years ago

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