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Jobisdone [24]
2 years ago
8

Solve the equation.

Mathematics
1 answer:
V125BC [204]2 years ago
4 0

Answer:

a =  \frac{3}{5}  +  \frac{1}{2}  \\ a =  \frac{11}{10}

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The length of a rectangle is 8 inches longer than half of its width.The area of the rectangle is 18 square inches.How many inche
SOVA2 [1]

Answer:

The correct answer is 2 inches.

Step-by-step explanation:

Let l inches and w inches be the length and width of a rectangle respectively.

According to the given problem, l - 8 = \frac{w}{2}.

Area of the rectangle is given to be, according to the question, 18 square inches.

Thus l × w = 18

⇒ l × (2l - 16) = 18

⇒ 2 l^{2} - 16l - 18 = 0

⇒  l^{2} - 8l - 9 = 0

⇒ ( l - 9) ( l + 1) = 0

The possible values of l are 9 and -1. As the length cannot be equal to -1, thus the value of the length is 9 inches.

Width of the rectangle is 2 inches.

5 0
3 years ago
Brian compared the absolute values of the numbers−12,34,and−14.Arrange the numbers from least to greatest.
solniwko [45]

Answer:

-12, -14, 34

Step-by-step explanation:

3 0
3 years ago
If f(x) = 2x - 1 and g(x)=x²-3x-2, find (f+ g)(x).
Ira Lisetskai [31]

\text{Given that,}~ f(x) = 2x -1~ \text{and}~ g(x) = x^2- 3x -2 \\\\\text{Now,}\\\\~~~(f+g)(x)\\\\=f(x) + g(x)\\\\=2x-1 +x^2 -3x -2\\\\=x^2 -x -3

4 0
2 years ago
Read 2 more answers
Use the given information to write the equation of each line
Pachacha [2.7K]

Answer:

<h2>y = -3x - 1</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (1, -4) and (-2, 5).

Substitute:

m=\dfrac{5-(-4)}{-2-1}=\dfrac{5+4}{-3}=\dfrac{9}{-3}=-3

Substitute the value of a slope and the coordinates of the point (1, -4) to the equation of a line:

-4=-3(1)+b

-4=-3+b            <em>add 3 to both sides</em>

-4+3=-3+3+b

-1=b\to b=-1

Finally:

y=-3x-1

5 0
2 years ago
A restaurant chef made 1 1/4 pints of mushroom soup. Each bowl of soup holds 5/8 of a pint.
LenaWriter [7]

Answer:

2 bowls of soup

Step-by-step explanation:

<u>1. Make 1 1/4 an improper fraction</u>

1 1/4 = 5/4

<u>2. Then divide 5/4 by 5/8 (KCF - </u><u>Keep</u><u> the 5/4 - </u><u>Change</u><u> the division sign to multiplication - '</u><u>Flip' </u><u>5/8 to 8/5)</u>

5/4 x 8/5 = 40/20

<u>3. Simplify the fraction (divide the numerator and denominator by 20)</u>

40/20 = 2

<u>4. Final answer:</u>

2 (bowls of soup)

6 0
2 years ago
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