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2 years ago

Try to find the answer without using calculator....

Mathematics

1 answer:

Stels [109]2 years ago

6 0

Answer:

a) 1350 minutes

b) 790 minutes

Step-by-step explanation:

a) Firstly, we know that:

1 hour = 60 minutes

So take 10 hours out of 22,

10 hours = (60 x 10) minutes

10 hours = 600 minutes

Thus, you have another 12 hours remaining so take another 10 hours which is another 600 minutes. Finally you have 2 hours remaining.

2 hours = (60 x 2) minutes

2 hours = 120 minutes

To get the total answer, add everything and don't forget the other 30 minutes.

600 + 600 + 120 + 30 = 1350 minutes

b) Like we did before, take out 10 hours

10 hours = 600 minutes

Now we have 3 hours remaining so:

3 hours = (60 x 3) minutes

3 hours = 180 minutes

Add everything together, without forgetting the other 10 minutes.

600 + 180 + 10 = 790 minutes

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If line KM bisects angle JKL, angle JKL = 92 degrees, and angle MKL = (5x+1) degrees, find the value of

kherson [118]

The value of the variable x is found to be x = 9.

<h3>What is termed as angle bisector?</h3>

In geometry, an angle bisector is a line that divides an angle into two equal angles.
A bisector is something that divides a shape or thing into two equal portions.
An angle bisector is a ray that divides an angle into two equal components of the same measurement.

A bisected angle divides the two sides in equals.

JKM = LKM

As, both are equal.

Then, each of these angles are 1/2 the angle JKL.

1/2 JKL = MKL

1/2 ×( 92) = 5x + 1

Further simplifying;

46 = 5x+1

Subtract 1 from each side

46-1 = 5x

45 = 5x

Divide each side by 5

45/5 = 5x/5

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Thus, the value of the unknown variable is found to be x = 9 units.

To know more about the angle bisector, here

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10 months ago

Rice weighing 33/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?

QveST [7]

Answer:

The answer is 15 ounces

Step-by-step explanation:

33/4 ÷ 4 pounds.

(4 × 3 + 3)/4 ÷ 4 pounds.

15/4 ÷ 4 pounds.

15/4 × 1/4 pounds.

15/16 pounds.

Now we know that, 1 pound = 16 ounces.

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3 years ago

Expand quadratic equation (2x-3)(x+4) = 0

OleMash [197]

Answer:

Step-by-step explanation:

Simplifying

(2x + -3)(x + -4) = 0

Reorder the terms:

(-3 + 2x)(x + -4) = 0

Reorder the terms:

(-3 + 2x)(-4 + x) = 0

Multiply (-3 + 2x) * (-4 + x)

(-3(-4 + x) + 2x * (-4 + x)) = 0

((-4 * -3 + x * -3) + 2x * (-4 + x)) = 0

((12 + -3x) + 2x * (-4 + x)) = 0

(12 + -3x + (-4 * 2x + x * 2x)) = 0

(12 + -3x + (-8x + 2x2)) = 0

Combine like terms: -3x + -8x = -11x

(12 + -11x + 2x2) = 0

Solving

12 + -11x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(3 + -2x)(4 + -1x) = 0

Subproblem 1

Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying

3 + -2x = 0

Solving

3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0

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Combine like terms: 0 + -3 = -3

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Divide each side by '-2'.

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Simplifying

x = 1.5

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying

4 + -1x = 0

Solving

4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 0 + -4

-1x = 0 + -4

Combine like terms: 0 + -4 = -4

-1x = -4

Divide each side by '-1'.

x = 4

Simplifying

x = 4

Solution

x = {1.5, 4}

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tankabanditka [31]

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