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2 years ago

If the price of pineapple juice was $4.50 a gallon and it is now $5.75 a gallon, what is the percentage change in price

Mathematics

1 answer:

Kitty [74]2 years ago

5 0

Answer:

1 doller and 25 cents so easy

Step-by-step explanation:

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PLEASE HELP MEE<br> I will give brainliest :)<br> Question in the picture

Anni [7]

Answer:

I got -11/15

Step-by-step explanation:

I did 3 (1)/(2)*(2)/(5)-5 (1)/(3)*(2)/(5)

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3 years ago

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What two rational expressions sum to 2x+3/x^2-5x+4

Anni [7]

Answer:

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

Step-by-step explanation:

Given the rational expression: $\frac{2x + 3}{x^2 - 5x + 4}$ , to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

$x^2 - 5x + 4$

$x^2 - 4x - x + 4$

$(x^2 - 4x) - (x + 4)$

$x(x - 4) - 1(x - 4)$

$(x- 1)(x - 4)$

Thus, we now have: $\frac{2x + 3}{(x- 1)(x - 4)}$

Step 2: Apply the concept of Partial Fraction

Let,

$\frac{2x + 3}{(x- 1)(x - 4)}$ = $\frac{A}{x- 1} + \frac{B}{x - 4}$

Multiply both sides by (x - 1)(x - 4)

$\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4)$ = $(\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)$

$2x + 3 = A(x - 4) + B(x - 1)$

Step 3:

Substituting x = 4 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(4) + 3 = A(4 - 4) + B(4 - 1)$

$8 + 3 = A(0) + B(3)$

$11 = 3B$

$\frac{11}{3} = B$

$B = \frac{11}{3}$

Substituting x = 1 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(1) + 3 = A(1 - 4) + B(1 - 1)$

$2 + 3 = A(-3) + B(0)$

$5 = -3A$

$\frac{5}{-3} = \frac{-3A}{-3}$

$A = -\frac{5}{3}$

Step 4: Plug in the values of A and B into the original equation in step 2

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}$

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

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3 years ago

How do you use units to solve problems

Serga [27]

Answer:

Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.

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3 years ago

A landscaper is constructing a rectangular garden with an area of 108 square feet. He draws the garden on paper and represents t

Roman55 [17]

Answer:

7, 4ft

Step-by-step explanation:

Given data

area = 108 square feet

length = (x-1)

width = (x-4)

Area=L*W

$108=(x-1)*(x-4)$

open bracket

$108= x^2-4x-x+4\\\\108=x^2-5x+4\\\\x^2-5x-104=0\\\\$

a= 1

b=-5

c=-104

Applying the quadratic formula

x=-13

x=8

since x cannot be negative

x= 8

length = (x-1)= 8-1= 7ft

width = (x-4)= 8-4= 4ft

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3 years ago

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Vika [28.1K]

Answer is 1704 and to explain just put that you added to get your final answer

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3 years ago

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