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4 years ago

Find the least common factor denominator for these two rational 7/x^2 and 7/5x

Mathematics

1 answer:

MAVERICK [17]4 years ago

4 0

X^2 and 5x both have x in common to factor out. To add or subtract them, 5x^2 is the least common denominator .

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If bcd~gef find value of x

ddd [48]

Answer:

$x = 13$

Step-by-step explanation:

Given

See attachment

Required

Find x

From the attachment, we have:

$BC = x + 4$

$BD = 2x - 7$

$GE = 51$

$GF = 57$

Because both triangles are similar, we use the following equivalent ratios:

$BC : BD = GE : GF$

Substitute values for each parameter

$x + 4 : 2x- 7 = 51 : 57$

Convert to fractions

$\frac{x + 4}{2x- 7} = \frac{51 }{ 57}$

Simplify the right-hand side

$\frac{x + 4}{2x- 7} = \frac{17}{19}$

Cross Multiply

$19(x + 4) = 17(2x - 7)$

$19x + 76 = 34x - 119$

Collect Like Terms

$19x - 34x = -76 - 119$

$-15x = -195$

Solve for x

$x = \frac{-195}{-15}$

$x = 13$

3 0

4 years ago

It takes three identical water pumps 8 hours to fill a pool, What is the constant of variation?

BaLLatris [955]

Answer:

Constant of variation is 24.

Step-by-step explanation:

Inverse variation states that a relationship between two variables in which the product is remain constant.

If one variable increases then, the other one decreases in proportion so that the product is unchanged,

if y is inversely proportional to x i.e $y \propto\frac{1}{x}$ or

$y =\frac{k}{x}$ ;where k is the constant of variation.

It is given that 3 identical water pumps takes 8 hours to fill a pool,

since, it will take less time with more pumps, so it is an inverse variation.

By definition of inverse variation;

$time = \frac{k}{pump}$

Substitute the values to solve for k;

$8 = \frac{k}{3}$

Multiply by 3 to both sides we get;

$8 \times 3 = \frac{k}{3} \times 3$

Simplify:

k = 24

Therefore, the constant of variation is, 24

3 0

3 years ago

A music producer is making a list of vocalists needed to record an album. For each day of recording, a different number of vocal

Angelina_Jolie [31]

Answer:

8184 vocalists sang in total

Step-by-step explanation:

The number needed is ...

8 + 16 + 32 + 64 + 128 + 256 + 512 + 1024 + 2048 + 4096

You can add these up to get a total of 8184, or you can use the formula for the sum of a geometric series:

Sn = a1(r^n -1)/(r -1) . . . . where a1 is the first term and r is the common ratio

S10 = 8(2^10 -1)/(2 -1) = 8(1024 -1)/1 = 8184

3 0

3 years ago

What’s the value for Y

FinnZ [79.3K]

Answer:28

Step-by-step explanation:

6 0

4 years ago

Help asap for brainiest!

Kryger [21]

Answer:

j is (0,3) k is (-2,3) and l is (-2,0) hope this helps

5 0

2 years ago

Read 2 more answers