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Andrej [43]
3 years ago
10

4 pounds of tomatoes cost $8. How many pounds of tomatoes can you get with $14?

Mathematics
1 answer:
faust18 [17]3 years ago
4 0

Answer:

7 pounds

Step-by-step explanation:

8 divided by 4 is 2 so $2 per pound

14 divided by 2 is 7 so therefore it would be 7 pounds

I had the wrong answer before sry haha

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What is 3√243 expressed in simplest radical form?
Volgvan

Answer:

H is correct

Step-by-step explanation:

(243)^1/3

(3^3 × 3^2)^(1/3)

(3^3)^1/3 × (3^2)^1/3

3×(9)^1/3

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A parabola can be drawn given a focus of (-5, -4)(−5,−4) and a directrix of y=-6y=−6. Write the equation of the parabola in any
lord [1]

Answer:

\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}

Step-by-step explanation:

Given:

  • Focus = (-5,-4)
  • Directrix = -6

To find:

  • Parabola Equation

Locus of Parabola (Upward/Downward)

\displaystyle \large{\sqrt{(x-a)^2+(y-b)^2} = |y-c|}

Where:

  • (a,b) = focus
  • c = directrix

Hence:

\displaystyle \large{\sqrt{(x+5)^2+(y+4)^2}=|y+6|}

Cancel square root by squaring both sides as we get:

\displaystyle \large{(x+5)^2+(y+4)^2=(y+6)^2}

Solve for y-term:

\displaystyle \large{(x+5)^2=(y+6)^2-(y+4)^2}\\\displaystyle \large{x^2+10x+25=y^2+12y+36-y^2-8y-16}\\\displaystyle \large{x^2+10x+25=4y+20}\\\displaystyle \large{x^2+10x+5=4y}\\\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}

4 0
2 years ago
Last year Peter spent a total of 8 1/6 hours on community service. Visits to old folks' homes made up 4/7 of the total time. How
zhannawk [14.2K]

Answer:

A. 4 2/3 hours

B. (i) 9 4/5 hours

(ii) 1 19/30

Step-by-step explanation:

Firstly, to find the number of hours he used in visiting old folks, what we have to do is to multiply the fraction of hours he used by the total number of hours.

Mathematically, that would be;

4/7 * 8 1/6

8 1/6 is same as 49/6

So the number of hours he spent visiting old folks would be ;

49/6 * 4/7 = 14/3 = 4 2/3 hours

B. What we do here is simply multiply the fraction now by what he spent last year.

That would be 1 1/5 * 8 1/6 hours

= 6/5 * 49/6 = 49/5 = 9 4/5 hours

ii) Now we want to know how much more time will be spent this year than last year.

What to do here simply is to subtract the time taken last year from what we have this year

That would be;

49/5 - 49/6 = 49/30 = 1 19/30

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Put the following equations into slope intercept form
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