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2 years ago

The graph is a two-dimensional representation of the

Mathematics

1 answer:

Mila [183]2 years ago

8 0

Answer: D. 12 ft

Step-by-step explanation:

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Paul can install a 300 hundred square foot hardwood floor in 18 hours. Matt can install the same floor in 22 hours. How long wou

Vadim26 [7]

ANSWER

Paul and Matt will take
$9.9 \: \: hours$
to install the floor working together.

EXPLANATION

First, calculate Paul's rate, which is

$= \frac{1}{18}$

Next, calculate Matt's rate, which is,
$= \frac{1}{22}$

Let us assume that, Paul and Matt took
$x \: hours$
to do the work together.

Then, the rate of working together is,

$= \frac{1}{x}$

Now, add the individual rates and equate to the rate of working together to form an equation that will help us solve for x.

$\frac{1}{18} + \frac{1}{22} = \frac{1}{x}$

Simplify the left hand side

$\frac{11 + 9}{198} = \frac{1}{x}$

$\frac{20}{198} = \frac{1}{x}$

We reciprocate both sides to get (You could have also done cross multiplication).

$\frac{198}{20} = \frac{x}{1}$

$x = 9.9 \: hours$

7 0

3 years ago

Is (0, 2) a solution to the equation y = 7x?

jeka94

Answer:

Step-by-step explanation:

x = 0

y = 2

y = 7x

2 = 7(0)

2 ≠ 0

4 0

2 years ago

Read 2 more answers

1. Grace was given the equation 2x + 20 = 15. She decides to add 10 to both sides of the equation. a.) Is that an acceptable mov

vlada-n [284]

9514 1404 393

Answer:

yes
2x +30 = 25

Step-by-step explanation:

Adding the same number to both sides of the equation is an acceptable move. The addition property of equality tells Grace that the value of the variable will remain unchanged by such a move.

Her new equation would be ...

2x +20 +10 = 15 +10

2x +30 = 25 . . . . the result of Grace's move

_____

<em>Additional comment</em>

There may be very good reasons why Grace would want to do that. If solving the equation is Grace's intent, that move would be counterproductive. For the purpose of solving the equation, it would be more productive to either subtract 20 from both sides, or divide both sides by 2. These steps would give, respectively, ...

2x = -5

x +10 = 7.5

6 0

3 years ago

What is an equation of the line that passes through the point (-4,3) and has a slope of -1?

vlabodo [156]

Y=mx+b
plug in the point
3=-1*-4+b
3=4+b
b=-1
y=-1x-1

8 0

3 years ago

Algebra identify the pattern. Then write the next three terms in each sequence. 63,58,53,48.....

vovikov84 [41]

Answer:43, 38, 33

Step-by-step explanation:

The pattern is subtracting 5

63 -5 = 58

58 - 5 = 53

53 - 5 = 48

48 - 5 = 43

43 - 5 = 38

38 - 5 = 33

8 0

3 years ago