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3 years ago

15

Find the slope that passes through the two points. (9,3) and (6,7)

1 answer:

JulijaS [17]3 years ago

7 0

Answer:

m=4/-3

Step-by-step explanation:

the equation for slope (m) when given two points is (y2-y1)/(x2-x1)

we are given the points (9,3) and (6,7)

we can label the points:

x1=9

y1=3

x2=6

y2=7

now substitute into the equation

m=(7-3)/(6-9)

subtract

m=4/-3

the slope is 4/-3

hope this helps!

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Sedaia [141]

Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

How much money left after spending $8, $7 and $13, then received $10 and spent $15. now $12 is left. how much money did one have

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3 years ago

A cash box contains $74 made up of quarters, half-dollars, and one-dollar

Strike441 [17]

Answer:

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

$0.25q+0.50h+1.00d=74$

$\displaystyle{h=\frac{3}{5}d+1}$

$q=4(d+h)$

Then, substitute <em>q</em> in the first equation with the expression from the third equation:

$0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74$

Next, substitute <em>h</em> in that equation with the expression from the second equation:

$\displaystyle{2d+1.5(\frac{3}{5}d+1)=74}$

$2d+0.9d+1.5=74\\2.9d+1.5=74$

Solve for <em>d</em>, the number of one-dollar coins:

$2.9d+1.5=74\\2.9d=72.5\\d=25$

Substitute 25 for <em>d</em> in the second equation to find <em>h</em>, the number of half-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{h=\frac{3}{5}(25)+1}$

$h=15+1\\h=16$

Substitute 25 for <em>d</em> and 16 for <em>h</em> in the third equation to find <em>q</em>, the number of quarters:

$q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164$

Then, verify that the coins total $74:

$0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}$

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{16=\frac{3}{5}(25)+1}$

$16 = 15 + 1\\16 = 16\\\text{Check.}$

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

$q=4(d+h)\\164=4(25+16)\\164=4(41)\\164=164\\\text{Check.}$

6 0

3 years ago

a baker mixes 8 3/4 cups of white flour with 2 1/2 cups of rye flour for a bread recipe. how many cups of white flour does the b

mr_godi [17]

Answer: 3.5 or 3 2/4 a cup of white flower for each cup of rye flower

Step-by-step explanation:

8 3/4 divided by 2 2/4

that's it

5 0

2 years ago

Read 2 more answers