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3 years ago

Write a situation that could be represented by the equation y=15x-3

1 answer:

8 0

A tree grows at a rate of 15 inches per year. However, three inches were chewed off by quasi-sadistic bunnies the first year it was planted. Fortunately, the bunnies were frightened off by the garden gnomes, and did not return. As a result the tree was able to grow unencumbered for the rest of its life.

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Honey's blueberry muffin recipe calls for 3 1/4 pounds of blueberries and 2 1/2 cups of muffin mix. How many cups of muffin mix

astra-53 [7]

For this case we convert the mixed numbers to improper fractions: $3 \frac {1} {4} = \frac {4 * 3 + 1} {4} = \frac {12 + 1} {4} = \frac {13} {4}\\2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {4 + 1} {2} = \frac {5} {2}$

Now, we propose a rule of three:

$\frac {13} {4}$ pounds of blueberries -------------> $\frac {5} {2}$ cups of muffin mix

7 pounds of blueberries -----------------------------> x

Where the variable "x" represents the number of cups of muffin mix that Honey should use.

$x = \frac {7 * \frac {5} {2}} {\frac {13} {4}}\\x = \frac {\frac {35} {2}} {\frac {13} {4}}\\x = \frac {35 * 4} {2 * 13}\\x = \frac {140} {26}\\x = \frac {70} {13}\\x = 5.38$

So approximately Honey should use $5 \frac {5} {13}$ cups of muffin mix

Answer:

Approximately Honey should use $5 \frac {5} {13}$ cups of muffin mix

7 0

2 years ago

Owen solves the equation below and his steps are shown. When he plugged his solution back into the original equation, he did not

Usimov [2.4K]

Answer:

THE FIRST STEP in which he made an error is step 4, instead of subtracting 2x from either side of the equation, he is to add 2x to either side of the equation.

The correct value of x is 3.6

Step-by-step explanation:

To solve the given equation, we will follow the steps below;

3 (x-4) = -4 - 2 (x-5)

step 1 : open the parentheses

That is, 3x - 12 = -4 - 2x + 10

Step 2 : simplify, that is, yo can add the or subtract like terms

hence

3x - 12 = -2x -4 + 10

step 3 :

3x - 12 = -2x + 6

step 4 : Add 2x to both-side of the equations in order to nullify the 2x on the right-hand side of the equation

3x + 2x - 12 = -2x + 2x + 6

step 5:

5x - 12 = 6

step 6: Add 12 to both-side of the equation

5x - 12 + 12 = 6 + 12

step 7

5x = 18

Step 8: divide both-side of the equation by 5

5x/5 = 18/5

step 9:

x =3.6

THE FIRST STEP in which he made an error is step 4, instead of subtracting 2x from either side of the equation, he is to add 2x to either side of the equation.

That is why he got the wrong answer.

4 0

3 years ago

José has 3 brown socks, 5 blue socks, and 6 black socks

lukranit [14]

Answer:

independent

Step-by-step explanation:

, it has no effect on the number of red socks so thewhen he draws out a sock the event is not affected by the draw a blue sock or the bla ck sock or the brown sock

8 0

2 years ago

Find the value of x. Round your answer to the nearest tenth

snow_tiger [21]

Answer:

64.01

Step-by-step explanation:

tan∅= p/b

tan58= x/40

or, x= 40×tan58

x = 64.01

6 0

2 years ago

If x = y, find the value of 8 + 5(x - y)

uranmaximum [27]

Answer:

Step-by-step explanation:

Evaluate for x=y,y=x

8+5(x−x)

3 0

3 years ago