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swat32
2 years ago
15

Find the GCF from the two numbers, and rewrite the sum using the distributive property. 18-12=.

Mathematics
1 answer:
natulia [17]2 years ago
3 0

Answer:

ab+ac=a(b+c)

where a is the greatest common factor

find gcf of each

factor each

18=2*3*3

12=2*2*3

GCF=2*3=6

so

18+12=6(3)+6(2)=6(3+2)

Step-by-step explanation:

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Please help with #12
ExtremeBDS [4]

Answer:

a. 1 1/8 b. 8/9

Step-by-step explanation:

You can set this up as a proportion to solve.  For part a. we know that 2/3 of the road is 3/4 mile long.  2/3 + 1/3 = the whole road, so we need how many miles of the road is 1/3 its length.  Set up the proportion like this:

\frac{\frac{2}{3} }{\frac{3}{4} } =\frac{\frac{1}{3} }{x}

Cross multiplying gives you:

\frac{2}{3}x=\frac{1}{3}*\frac{3}{4}

The 3's on the right cancel out nicely, leaving you with

\frac{2}{3}x=\frac{1}{4}

To solve for x, multiply both sides by 3/2:

\frac{3}{2}*\frac{2}{3}x=\frac{1}{4}*\frac{3}{2} gives you

x=\frac{3}{8}

That means that the road is still missing 3/8 of a mile til it's finished.  The length of the road is found by adding the 3/4 to the 3/8:

\frac{3}{4}+\frac{3}{8}=\frac{6}{8}+\frac{3}{8}=\frac{9}{8}

So the road is a total of 1 1/8 miles long.

For b. we need to find out how much of 1 1/8 is 1 mile:

1 mile = x * 9/8 and

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8 0
3 years ago
HELP PLZZZ!!!
mafiozo [28]
The length of the arc
5 0
2 years ago
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Julie and Eric row their boat (at a constant speed) downstream for 40 miles in 4 hours, helped by the current. Rowing at the sam
Liula [17]

Answer: 3 miles per hour

<u>Step-by-step explanation:</u>

Use the formula "distance (d) = rate (r) x time (t)" to create a system of equations.

Let "r" represent the rate they are rowing

Let "c" represent the current

                            time          rate      distance        <u>EQUATION</u>

Downstream:     4 hours     r + c       40 miles         4(r + c) = 40

Upstream:         10 hours    r - c        40 miles         10(r - c) = 40


Distribute, then eliminate r to solve for c:

Down: 4r + 4c = 40  →   5(4r + 4c = 40)  →   20r + 20c = 200

  Up: 10r - 10c = 40  → -2(10r - 10c = 40) → <u>-20r + 20c</u> =<u>  -80</u>

                                                                                40c = 120

                                                                              <u> ÷40  </u>  <u>÷40 </u>

                                                                                    c =   3

4 0
3 years ago
Given: x + 5 ≥ 10. Choose the graph of the solution set.
gizmo_the_mogwai [7]
Let's solve the inequality.  Subtract 5 from both sides.  The result will be 

<span>x  ≥ 5.  This states, "x is equal to or greater than 5."
</span>
Plot 5 on the number line, using a dark solid dot.  Then draw an arrow from that point to the right.
3 0
3 years ago
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Melissa graphed the equation y = x2 and Dave
DIA [1.3K]

Answer:

Dave's graph has been reflectes across the x-axis and has a horizontal stretch compared to Melissa's graph.

Step-by-step explanation:

5 0
3 years ago
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