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3 years ago

Solve the equation for x: 3x+5=20

Mathematics

1 answer:

Lyrx [107]3 years ago

8 0

Answer:

x = 5

Step-by-step explanation:

3x+5=20

Subtract 5 from both sides.

3x=20−5

Subtract 5 from 20 to get 15.

3x=15

Divide both sides by 3.

x= 15/3

Divide 15 by 3 to get 5.

x=5

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3 years ago

What is the slope-intercept form of linear equations?

lara31 [8.8K]

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$\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{8}) \\\\\\ y-3=\cfrac{1}{2}x-4\implies y=\cfrac{1}{2}x-1$

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2 years ago

The ration of two supplementary angles are 1:3 what is the measure of the smaller angle?

Nastasia [14]

Answer:

45°

Step-by-step explanation:

Let :-

The ratio be 1x : 3x

We know :-

The sum of supplementary angles is 180° .

On adding :-

→ x + 3x = 180°

→ 4x = 180°

→ x = 180°/4

→ x = 45°

<h3>Hence the smaller angle is 45° .</h3>

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3 years ago

One day a store sold 36 sweatshirts. White ones cost $10.95 and yellow ones cost $11.50. In all, $404.65 worth of sweatshirts

Hatshy [7]

Answer:

17 white sweatshirts were sold and 19 yellow sweatshirts were sold.

Step-by-step explanation:

Let w represent the number of white sweatshirts sold and y represent the number of yellow sweatshirts sold.

We can write a system of equations to represent the situation.

Since the store sold a total of 36 sweatshirts, the sum of the white and yellow sweatshirts must total 36. So:

$y+w=36$

And since each white sweatshirt cost $10.95 and each yellow sweatshirt cost $11.50 and the total profit was $404.65:

$10.95w+11.5y=404.65$

Solve the system. I'll use substitution this time (though elimination will work just as perfect). From the first equation, subtract w from both sides:

$y=36-w$