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2 years ago

What are the domain and range of x= -2?

Mathematics

1 answer:

nikdorinn [45]2 years ago

3 0

Answer:

The range is all real numbers, because it's a vertical line, and the domain is -2 because it's a vertical line with -2 as it's only x.

Step-by-step explanation:

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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

What’s the answer for the problems 11-15 in the picture

snow_lady [41]

Answer:

11.

A) EZ Pay Plan=0.15x

B) 40 to Go Plan=0.05x+40

12.

0.15x=0.05x+40

13.

x=400 minutes

14. The solution is the amount of minutes that it takes for both plans to cost the same amount. X has one solution, so it accounts for both equations.

15. EZ Pay Plan

Step-by-step explanation:

For 11, what you need to know is that the slope (coefficient of x) is the price per minute. 0.15 per minute and 0.05 per minute are charged, and therefore are the slope for those equations. The 40 on B is because it is the y intercept. No matter how long you use the object, you will always pay at least 40 dollars.

For 12, you have to find x for the minutes used.

For 13, if you do the process algebraically,

0.15x=0.05x+40

0.10x=40 (subtracted 0.05x from both sides)

x=400 (divided 0.10x and 40 by 0.10)

For 14, (no explanation)

For 15, if you substitute 200 as x, you would see that the EZ Pay Plan would make you pay 30 dollars while the 40 To Go Plan would make you pay 10+40 dollars, which 30<50.

(sorry for late response)

7 0

3 years ago

1.) x 5 y 3• x 3 y 4<br> 2.) 3x 2 y • 6xy 4

aksik [14]

Answer:

( 5x+3y=7. < 3x - 5y = -23 you can use many ..

Step-by-step explanation:

hopefully its right

5 0

3 years ago

the scale on a map is 1:240000. What is the actual distance represented by 1 centimetre. Give your answer in kilometres

allsm [11]

Answer:

0.24 kilometres

Step-by-step explanation:

1cm represents 240000cm on actual map

therefore to get the actual representation

1km=1000000cm

? =240000cm

Do cross multiplication;

(240000cm x 1km)/1000000cm

=0.24km

5 0

2 years ago

Nate operates an orange juice stand. On Monday he used 1 3/4 bags of oranges. On Tuesday he used 1/2 as many oranges as on Monda

GREYUIT [131]

Answer:

3.5/4 bags of oranges

Step-by-step explanation:

1 3/4 on Monday (1 3/4= 7/4) and half 7/4 is 3.5/4 so on tuesday it was 3.5/4 bags of oranges

5 0

3 years ago