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dlinn [17]
3 years ago
9

Drag each equation to show if it could be a correct first step to solving the equation 3(x+8)=42.

Mathematics
1 answer:
jeyben [28]3 years ago
8 0

Answer:

3*x + 3*8 = 42 simplified as 3x + 24 = 42

Step-by-step explanation:

The correct first step in solving the equation is to apply the distributive property. Order of operations states to perform operations in this order, PEMDAS, left to right. Some operations can be applied at the same time left to right through the equation such as multiplication and division as well as addition and subtraction. Since 3 is being multiplied into parenthesis, this needs to be applied first using the distributive property.

3(x+8)=42

3*x + 3*8 = 42

3x + 24 = 42

You can continue to solve using inverse operations.

3x = 18

x = 6

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4 years ago
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Tom and his friend Huck were painting a fence. After 1.25 hours, they noticed that they had only painted 3/4 of the fence. What
Georgia [21]
1.25 divided by 3/4, convert to decimals. 1.25/0.75 ≈ 0.66
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3 years ago
BRAINLIESTTT ASAP! PLEASE HELP ME :)
Galina-37 [17]

Answer: \frac{2x}{15}

This is the fraction 2x/15 which can be read as 2x over 15

=====================================================

Work Shown:

Divide \frac{14x^2}{15}over 7x to get

\frac{14x^2}{15} \div 7x = \frac{14x^2}{15} \div \frac{7x}{1}\\\\\frac{14x^2}{15} \div 7x = \frac{14x^2}{15} \times \frac{1}{7x}\\\\\frac{14x^2}{15} \div 7x = \frac{14x^2*1}{15*7x}\\\\\frac{14x^2}{15} \div 7x = \frac{7x*2x*1}{15*7x}\\\\\frac{14x^2}{15} \div 7x = \frac{2x}{15}\\\\

You can think of it as dividing 14x^2 over 7x and that results in 2x. Then you place that result (2x) over 15 to end up with 2x/15

4 0
4 years ago
From Tony's seat in the classroom, his eyes are 1.0 m above ground. On the wall 4.2 m away, he can see the top of a blackboard t
Semmy [17]

Answer:

15 degrees

Step-by-step explanation:

Draw a horizontal segment approximately 4 inches long. Label the right endpoint A and the left endpoint C. Label the length of AC 4.2 meters. That is the horizontal distance between the eye and the blackboard.

At the right endpoint, A, draw a vertical segment going up, approximately 1 inch tall. Label the upper point E, for eye. Label segment EA 1 meter since the eye is 1 meter above ground.

At the left endpoint of the horizontal segment, point C, draw a vertical segment going up approximately 2 inches. Label the upper point B for blackboard. Connect points E and B. Draw one more segment. From point E, draw a horizontal segment to the left until it intersects the vertical segment BC. Label the point of intersection D.

The angle of elevation you want is angle BED.

The length of segment BC is 2.1 meters. The length of segment CD is 1 meter. That means that the length of segment BD is 1.1 meters.

To find the measure of angle BED, we can use the opposite leg and the adjacent leg and the inverse tangent function.

BD = 1.1 m

DE = 4.2 m

tan <BED = opp/adj

tan <BED = 1.1/4.2

m<BED = tan^-1 (1.1/4.2)

m<BED = 15

Answer: 15 degrees

7 0
3 years ago
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