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2 years ago

Algebra hcf10xyz and 15y²z²

Mathematics

1 answer:

boyakko [2]2 years ago

3 0

Answer:

5yz

Step-by-step explanation:

1st expression=10xyz

=5*2*x*y*z

2nd expression=15(y)2 (z)2

=5*3*y*y*z*z

therefore H.C.F=5yz

underlines are taking common.

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The sum of two complementary angles is 90° Angle A is represented by 3x - 10, and Angle B is represented by x. Solve for x Hint:

Nataly [62]

Angle A = 3x - 10

Angle B = x

Their angle sum = 90° ( complementary angles form 90° )

This can be written in an equation as =

= 3x - 10 + x = 90

= 3x + × + ( -10 ) = 90

= 4x + (-10) = 90

= 4x = 90 + 10 ( transposing-10 from LHS to RHS changes-10 to +10 )

= 4x = 100

= x = 100 ÷ 4 ( transposing ×4 from LHS to RHS changes ×4 to ÷4 )

= x = 25

Angle A = 3x - 10

= 3 × 25 - 10

= 75 - 10

= Angle A = 65°

Angle B = x = 25°

Their sum = 65 + 25 = 90°

Therefore , the complementary angles , Angle A = 65° and Angle B = 25° .

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2 years ago

52.) Five times a number is 45

Rom4ik [11]

52). 5x=45 Divide each side of the equation by 5.

53). -3x = 12 Divide each side by -3.

54). x/4 = 10    Multiply each side by 4 .

55). x/3 = -8    Multiply each side by 3 .

1). x -10 = 12 . Add 10 to each side.

3). x + 8 = 16    Subtract 8 from each side.

5). 5 + x = 6 Subtract 5 from each side.

7). x - 4 = 9    Add 4 to each side.

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2 years ago

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each

Nataly_w [17]

Answer:

12 small boxes

8 large boxes

Step-by-step explanation:

let x be the number of small boxes shipped

let y be the number of large boxes shipped

This means:

the total number of boxes is 20, so

x + y = 20

the number of 50 pound boxes is x and the number of 100 pound boxes is y and together there are 1400 pounds, so

50x + 100y = 1400

Then, solve

First, simplify the equation 50x + 100y = 1400 by dividing both sides by 50

x + 2y = 28

Now, subtract the two equations:

x + 2y = 28

- (x + y = 20)

y = 8

Now plug this into the equation x + y = 20

x + 8 = 20

x = 12

So the number of small boxes is 12 and the number of large boxes is 8.

Here's a graph:

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2 years ago

The test statistic of z=2.08 is obtained when testing the claim that p≠0.611. a. Identify the hypothesis test as being two-tail

krek1111 [17]

Answer:

Following are the solution to the given points:

Step-by-step explanation:

When the two-tailed were testing then:

Null and alternative hypothesis:

$H_0 : p = 0.611\\\\H_a : p \neq 0.611$

Testing the statistics:

$\to z = 2.08\\\\P-value = 0.0375\\\\\alpha = 0.01\\\\0.0375> 0.01\\\\P-value < \alpha\\\\$

therefore, it fails to reject the null hypothesis.

8 0

2 years ago

HELP !!!! picture is shown GEOMETRY

kenny6666 [7]

The right triangle is also Isosceles. It has two equal angles of 45°.

(hypotenuse)² = 2S²

4 = 2S² => S = √2

Therefore B is the correct answer.

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2 years ago

Algebra hcf10xyz and 15y²z²​

Algebra hcf10xyz and 15y²z²