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geniusboy [140]
3 years ago
8

Find the slope of the line that passes through the points (-8, 3) and (7, 3)

Mathematics
1 answer:
taurus [48]3 years ago
4 0

Answer:

slope : 1/15

Step-by-step explanation:

slope = change in y / change in x

change in y = 1 / change in x = 15

therefore, 1/15 = slope

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Pentagon OPQRS is shown on the coordinate plane below:
sertanlavr [38]

Answer:

Multiply the coordinates of point P by the scale factor 7/4  to get the coordinates of P'.

Given : P(-5,3)

P' (x,y) = P (-5 x 7/4 , 3 x 7/4)

           = P(-8.75, 5.25)

Step-by-step explanation:

8 0
3 years ago
How many pounds of a 15% copper alloy must be mixed with 700lb of a 30% copper alloy to maybe a 25.5% copper alloy
lisov135 [29]

Answer:

300\; \rm lb.

Step-by-step explanation:

Let x represent the mass (in pounds) of that 15\% copper alloy required, such that the final mixture would contain 25.5\% copper by mass.

Consider: if x pounds of that 15\% copper alloy is mixed with 700 pounds that 30\% copper alloy, what would be the mass of copper in the mixture?

  • Mass of copper in x pounds of that 15\% copper alloy: (0.15\, x)\; \rm lb.
  • Mass of copper in 700 pounds of that 30\% copper alloy: 700 \times 0.30 = 210\; \rm lb.

Therefore, the mixture would contain (210 + 0.15\, x) \; \rm lb of copper.

The mass of that mixture would be (700 + x)\; \rm lb. The mass fraction of copper in that mixture would be:

\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\%.

This ratio is supposed to be equal to 25.5\%. These two pieces of equations combine to give an equation about x:

\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\% = 25.5\%.

\displaystyle \frac{210 + 0.15\, x}{700 + x} = 0.255.

Simplify and solve for x:

210 + 0.15\, x= 0.255\, (700 + x).

(0.255 - 0.15)\, x= 210 - 0.255 \times 700.

\displaystyle x = \frac{210 - 0.255 \times 700}{0.255 - 0.15} = 300.

Therefore, 300\; \rm lb of that 15\% alloy would be required.

4 0
3 years ago
Help
qaws [65]

Answer:

this algrebraic expression

4 0
2 years ago
Read 2 more answers
HELP ME PLEASE THIS IS CUNFUSING! <br><br> I will favorite and give you 5 stars
S_A_V [24]

Answer:

it's esay so it's that u subtract 15 and 4 u get 11 u just leave the 10 there and 15- 4 is 11

4 0
3 years ago
Factorise completely 4ab+6ac-6bd-9cd​
Naily [24]

Answer:

(2b+3c) × (2a-3d)

Step-by-step explanation:

plz mark as brainliest

6 0
3 years ago
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