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4 years ago

Is 4(x-3) equivalent to 12x-4-8(8x+1)

Mathematics

1 answer:

zvonat [6]4 years ago

8 0

4x - 12 = 12x - 4 - 64x -8 simplify

4x - 12 = -52x -12 add 12 to both sides

4x= -52x divide by 4

x = -13x

It can be equivalent, but only if x=0

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You have $25 to spend on picking 21 pounds of three different types of apples in an orchard. The Empire apples cost $1.40 a

Semmy [17]

Answer:

5 pounds of the Empire apples, 14 pounds of the Red Delicious apples, and 2 pounds of the Golden Delicious apples.

Step-by-step explanation:

Let's call the Empire apples weight at E, the Red Delicious at R, and the Golden Delicious at G. We know that the total weight must be 21 pounds so:

R + E + G = 21 (equation 1)

The total amount of spent must be $25, and the price given is per pound, so the priced paid is the cost multiplied by the weight:

1.40*E + 1.10*R + 1.30*G = 25 (equation 2)

And the weight of the Red Delicious must be equal to twice of the combined weight of the others:

R = 2*(E + G)

E + G = R/2 (equation 3)

Let's substitute equation 3 in equation 1

R + R/2 = 21

(2R + R)/2 = 21

3R = 42

R = 14 pounds.

So, E + G = 7

G = 7 - E (equation 4)

Let's substitute the result of R and the equation 4 in the equation 2:

1.40*E + 1.10*14 + 1.30*(7 - E) = 25

1.40E + 15.40 + 9.10 - 1.30E = 25

0.10E = 25 - 24.50

0.10E = 0.50

E = 5 pounds

G = 7 - E

G = 7 - 5

G = 2 pounds.

3 0

3 years ago

HELP PLS! A boat is heading towards a lighthouse, whose beacon-light is 102 feet above the water. From point AA, the boat’s crew

KatRina [158]

Answer:

Distance from point AA to point BB = 189.3 feet

Step-by-step explanation:

Let the distance from point AA to the base of the lighthouse be represented by x, and the distance from point BB to the base of the lighthouse be represented by y. So that;

distance from point AA to point BB = x - y

To determine the value of x, applying the required trigonometric function;

Tan θ = $\frac{opposite}{sdjacent}$

Tan 13 = $\frac{102}{x}$

x = $\frac{102}{Tan 13}$

= 441.81 feet

x = 441.8 feet

To determine the value of y;

Tan 22 = $\frac{102}{y}$

y = $\frac{102}{Tan 22}$

= 252.46

y = 252.5 feet

Thus,

distance from point AA to point BB = 441.8 - 252.5

= 189.3 feet

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3 years ago

How to simplify 38/4 as a mixed number in simplest form

EleoNora [17]

Divide by 4 to get 9 and a R of 2, then just put the remainder as the numerator, and you have 9 1/2 (simplified)

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4 years ago

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The formula for the area of a triangle is A= hb/2

grin007 [14]

H = 2A/b
h = 2(24/12)
h = 4 units

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3 years ago

The is 1and 3/4 pounds of candy to be shared in bags that hold 1/4 pounds of candy. How many bags will be able to be made

Ira Lisetskai [31]

Answer:

343

Step-by-step explanation:

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