MATHEMATICS MIDDLE SCHOOL

The Mulraney's home has 2,550 square feet of living space. A contractor is building an addition to their home that will increase the square footage by 8%. What will be the square footage of their home with the addition?

Answers

Answer 1

Answer:

Answer:

The square footage will be 2754 square feet.

Step-by-step explanation:

Given,

The original living space in the home = 2,550 square feet,

Total added space = 8 % of the original space

$=8\%\text{ of } 2550$

$=(8* 2550)/(100)$

$=(20400)/(100)=204\text{ square ft}$

Thus, the living space in the home or square footage of their home, after addition = The original living space + Total added space

= 2,550 + 204

= 2,754 square feet.

Answer 2

Answer: you equation will be
2550 + (2550 X 8%)
2550 + (2550 X 0.08)
2550 + 204
= 2754

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What's a number greater than 543000 but less than 544000

Answers

Well, basically, the question is pretty simple. One of the numbers could be 543,001 all the way up to 543,999. I'd choose right in the middle, which would be 543,500. Good luck!

The number 543001 is greater than 54300 but less than 544000

The points (0, 10) and (–3, –5) fall on a particular line. What is its equation in slope-intercept form?

Answers

The answer would be : y = 5x + 10

A 5-foot ladder is leaning against a 4-foot wall. How far must the bottom of the ladder be from the base of the wall so that the top of the ladder rests on the top of the wall.

Answers

This is a classic example of a right angled triangle where the ladder is the hypotenuse and the wall and the base of the wall are the other 2 sides of the triangle.

Since it is a right angled triangle, Pythagorean theorem will be applied to it.

So, we use the formula -
hypotenuse^2 = side1^2 + side2^2

Here, hypotenuse (ladder) = 5 feet, side1 (wall) = 4 feet, side2 (base of the wall) = unknown.

So, we have, 5^2 = 4 ^2 + side2^2
==> side2^2 = 5^2 - 4^2
==> side2^2 = 25 - 16
==> side2^2 = 9
==> side2 = square root (9)
==> side2 = 3

So, the final answer is --> the bottom of the ladder is 3 foot away from the base of the wall.

A right angled triangle is formed here.
By Pythagoras theorem,
H² = B² + L²
where L is the altitude (wall), B is the base (ground) and H is the hypotenuse (ladder).
⇒ 5² = B² + 4²
⇒ 25 = B² + 16
⇒ B² = 25 - 16 = 9
⇒ B = 3
The bottom of the ladder must be 3 feet away from the base of the wall.

What is 30% of x is 60

Answers

30% × = 60

30% = $(30)/(`00)$ = 0.3

0.3x = 60

Divide by 0.3 on either sides to isolate x

$(0.3x)/(0.3)$ = $(60)/(0.3)$
x = 200

30% of 200 is 60

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