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Nadya [2.5K]
3 years ago
8

- 8th Grade Math - Solve the system of equations: 2x - 4y = 10, x = 2y + 5

Mathematics
1 answer:
4vir4ik [10]3 years ago
4 0

Answer:

All real numbers

Step-by-step explanation:

Since x=2y+5, and 2x-4y=10, substitute 2y+5 for x into 2x-4y=10

2(2y+5)-4y=10

Use distributive prop.

4y+10-4y=10

10=10

Since both sides of the equation are always equivalent,

All real numbers work, since the two equations are the same line.

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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
4 years ago
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erma4kov [3.2K]
Independent is the x dependent is the y
independent- time
dependent- total number of knee bends
5 0
3 years ago
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Nadya [2.5K]

Answer:

width = 18 cm

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4 0
3 years ago
Dorian buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for $26.25. Which is less expensive per pound? How muc
ozzi

Answer:

The apricots are less expensive per pound.

Step-by-step explanation:

Cost of 1 pound of almonds = 21.98/2

Cost of 2 pounds of almonds = $21.98

So then you have to do 21.98 - 21.98/2. Which equals $10.99

Cost of 1 pound of dried apricots = 26.25/3

Cost of 3 pounds of dried apricots = $26.25

So then you have to do $26.25 - 26.25/3 which = $17.5 then divide that by 2 which equals $8.75.

To find out how much less expensive you have to find the difference, so to do that you have to do $10.99 - $8.75 = $2.24 per pound less expensive.

4 0
3 years ago
A publisher sells 10⁶ copies of a new book. Each book sells 10² pages. How many pages total are there in all of the books sold?
KatRina [158]

Answer:

10^12.

Step-by-step explanation:

You need to solve 10^6 * 10^2 without using standard notation. As with variables, if you had x^6 * x^2 you would add the exponents. Replace x with 10. Your answer is 10^8. As a sidenote, only multiply exponents when raising a power to another power, e.g. (10^6)^2 = 10^12.

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3 years ago
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