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3 years ago

Enter the expression that is equivalent to −34(24−12x).

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

6 0

Answer:

The given expression is simplified as : −34 (24 − 12 x) = -816 + 408 x

Step-by-step explanation:

The given expression is given as:

−34 (24 − 12 x)

Now, by <u>DISTRIBUTIVE PROPERTY:</u>

A( B -C) = AB - AC

Applying the same distributive property in the given expression ,we get

−34 (24 − 12 x) = (-34) (24) - (-34)(12 x)

= -816 + 408 x

or, −34 (24 − 12 x) = -816 + 408 x

Hence, the given expression is simplified as

−34 (24 − 12 x) = -816 + 408 x

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3 years ago

A company produces and sells widgets and gizmos. In January the company sold 350 items for a total of $9,000. If each widget sol

iren [92.7K]

Answer:

The company sold 100 widgets and 250 gizmos.

Step-by-step explanation:

Let $x_1$ be the number of widgets sold and $x_2$ be the number of gizmos sold.

We are told that the company sold 350 items. We can represent this information in an equation as:

$x_1+x_2=350...(1)$

We have been given that a each widget sold for $35 and each gizmo sold for $22. The company sold 350 items for a total of $9,000.

We can represent this information in an equation as:

$35x_1+22x_2=9,000...(2)$

From equation (1), we will get:

$x_2=350-x_1$

Substitute this value in equation (2):

$35x_1+22(350-x_1)=9,000$

$35x_1+7,700-22x_1=9,000$

$13x_1+7,700=9,000$

$13x_1+7,700-7,700=9,000-7,700$

$13x_1=1,300$

$\frac{13x_1}{13}=\frac{1,300}{13}$

$x_1=100$

Therefore, the company sold 100 widgets.

Substitute $x_1=100$ in equation (1):

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$x_2=250$

Therefore, the company sold 250 gizmos.

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3 years ago

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