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2 years ago

13

Atlanta received 3 inches of snow in a 12-hour period. How many inches were falling per hour?

1 answer:

Romashka-Z-Leto [24]2 years ago

7 0

I believe the answer is 1/4 inches per hour!

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The sum of two numbers is equal to 11 and the difference is 19. What are the two numbers?

charle [14.2K]

$\bold{\huge{\pink{\underline{ Solution }}}}$

<u>We </u><u>have </u><u>given </u><u>in </u><u>the </u><u>question </u><u>that</u><u>, </u>

<u>The </u><u>sum </u><u>of </u><u>2</u><u> </u><u>numbers </u><u>is </u><u>equal </u><u>to </u><u>1</u><u>1</u><u> </u>
<u>The </u><u>difference </u><u>between </u><u>two </u><u>numbers </u><u>is </u><u>1</u><u>9</u><u> </u><u>.</u>

$\bold{\underline{ To \: Find }}$

<u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>x </u><u>and </u><u>y</u><u>. </u>

$\bold{\underline{ Let's \: Begin }}$

Let the two numbers be x and y

<u>According </u><u>to </u><u>the </u><u>question</u><u>, </u>

$\sf{ x + y = 11......eq(1) }$

$\sf{ x - y = 19......eq(2) }$

<u>Solving </u><u>eq(</u><u> </u><u>1</u><u> </u><u>)</u><u> </u><u>we </u><u>get </u><u>:</u><u>-</u><u> </u>

$\sf{ x + y = 11 }$

$\sf{ x = 11 - y ......eq(3 ) }$

<u>Subsituting </u><u>eq(</u><u>3</u><u> </u><u>)</u><u> </u><u>in </u><u>eq</u><u>(</u><u>2</u><u>)</u><u> </u><u>:</u><u>-</u>

$\sf{ x - y = 19 }$

$\sf{ ( 11 - y) - y = 19 }$

$\sf{ 11 - y - y = 19 }$

$\sf{ 11 - 2y = 19 }$

$\sf{ - 2y = 19 - 11 }$

$\sf{ - 2y = 8}$

$\sf{ y = 8/(-2) }$

$\sf{ y = - 4 }$

$\sf{\red{Thus ,\: the\: value\: of \: y = -4}}$

<u>Now</u><u>, </u><u> </u><u>Subsitute </u><u>the </u><u>value </u><u>of </u><u>y </u><u>in </u><u>eq(</u><u> </u><u>3</u><u> </u><u>)</u><u> </u><u>:</u><u>-</u>

$\sf{ x = 11 - y }$

$\sf{ x = 11 - (-4 ) }$

$\sf{ x = 11 + 4 }$

$\sf{ x = 15 }$

Hence, The value of x and y are 15 and (-4) .

5 0

1 year ago

Help me please with this

Reptile [31]

The shape has no right angles

4 0

2 years ago

Read 2 more answers

Consider △LNM. Triangle L M N is shown. Angle N M L is a right angle. Which statements are true for triangle LNM? Check all that

horsena [70]

Answer:

The side opposite ∠L is NM.
The side opposite ∠N is ML.
The hypotenuse is LN.

Step-by-step explanation:

Even a crude drawing can be helpful as you sort this out. (See attached.)

In general, the side opposite an angle <u>will not</u> have the letter of the angle in its name. Similarly, a side adjacent to the angle <u>will</u> have the angle letter in its name.

The statements that apply are ...

The side opposite ∠L is NM.
The side opposite ∠N is ML.
The hypotenuse is LN. (opposite right angle M)

3 0

2 years ago

Read 2 more answers

Solve for the missing side length.

suter [353]

C=100.I used the Pythagorean theorem just in case next time you run into this problem.

3 0

2 years ago

Read 2 more answers

Ali’s wage was increased from 120$ to 132$ per week. find the increase as fraction on its simplest form, as a percentage of the

Anettt [7]

Well the increase is 132/120. Simplify by dividing 12 from the numerator and the denominator, you should get 11/10.
11/10 is also 110%

7 0

2 years ago