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4 years ago

2 pounds of grapes cost $6.36. At that price, how much will Kayden spend on 3 1/2 pounds of grapes.

Mathematics

1 answer:

aliya0001 [1]4 years ago

8 0

Answer:

11.13

Step-by-step explanation:

Let's find the cost of 1 pound of grape. So 6.36 is 2 pounds, so 1 pound must be 6.36/2.

6.36/2 = 3.18

We want 3 and a half pounds of grapes so

3.18 x 3 + 3.18/2 = 9.54 + 1.59 = 11.13

We solved it!

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Express as a trinomial.<br> (2x – 4)(x + 8)

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$(2x - 4)(x + 8) \\ 2x - 4(x + 8) \\ 2x - 4x + 32 \\ 2x + 32$

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3 years ago

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I am in need of assistance.

Alex_Xolod [135]

Answer:

A. x = 6.08, x = -0.58

Step-by-step explanation:

$\displaystyle \frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24}=\frac{-3}{x-6}$

1. Factor the denominator.

$\displaystyle \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}$

2. Multiply the leftmost fraction by (x-6)/(x-6) to get common denominators.

$\displaystyle \Big ( \frac{x-6}{x-6} \Big ) \frac{2x}{x-4}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}$

3. Simplify.

$\displaystyle \frac{2x^2-12x}{(x-4)(x-6)}-\frac{2x-5}{(x-6)(x-4)}=\frac{-3}{x-6}$

4. Combine like terms.

$\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6}$

5. Multiply the right side of the equation by (x-4)/(x-4).

$\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3}{x-6} \Big ( \frac{x-4}{x-4} \Big )$

6. Simplify.

$\displaystyle \frac{2x^2-14x+5}{(x-4)(x-6)}=\frac{-3x+12}{(x-6)(x-4)}$

7. "Cancel" out the denominators because they are equivalent.

$2x^2-14x+5=-3x+12$

8. Set the equation equal to 0.

$2x^2-11x-7=0$

Quadratic formula:

$\displaystyle x = \frac{-b\pm \sqrt{b^2-4ac} }{2a}$

9. Factor using the quadratic formula.

$\displaystyle x = \frac{-(-11)\pm \sqrt{(-11)^2-4(2)(-7)} }{2(2)}$

10. Multiply and simplify.

$\displaystyle x = \frac{11 \pm \sqrt{177} }{4}$

11. Plug this into your calculator and solve for x.

$x=6.07603367 \approx 6.08$
$x=-0.57603367 \approx -0.58$

The correct answer is A. x = 6.08, x = -0.58.

8 0

3 years ago

The length of a yearbook is 10 inches. The top margin is 1/2 inches and the bottom margin is 3/4 inch. What is the length of the

Lyrx [107]

Answer:

The length of the page inside the margins=8 3/4 inches

Step-by-step explanation:

The total length of the year book can be expressed as;

L=l1+l2+l3

where;

L=Total length of yearbook

l1=top margin length

l2=inside margin length

l3=bottom margin length

In our case;

L=10 inches

l1=1/2 inches

l2=unknown

l3=3/4 inches

replacing;

10=(1/2)+l2+(3/4)

(1/2)+(3/4)+l2=10

(5/4)+l2=10

l2=(10)-(5/4)

l2=8 3/4 inches

The length of the page inside the margins=8 3/4 inches

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4 years ago