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2 years ago

What is the slope of a line that passes through points (-1, 4) and (4, 9)?

Mathematics

1 answer:

Elena L [17]2 years ago

3 0

1 the slope is 5/5 which is equal to 1

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How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution

anyanavicka [17]

Let q be the number of quarts of pure antifreeze that needs to be added to get the desired solution.

8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.

The new solution would have a total volume of 8 + q quarts, and it would contain a total amount of 3.2 + q quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means

(3.2 + q) / (8 + q) = 0.60

Solve for q :

3.2 + q = 0.60 (8 + q)

3.2 + q = 4.8 + 0.6q

0.4q = 1.6

q = 4

4 0

2 years ago

Identify which of the following is not equivalent to 2 3/4.

mezya [45]

The figure that is not equivalent to 2¾ is 2¼ × 2½. That is option B.

<h3>Simplification of equivalent fractions</h3>

Simplification is a process that is used to make a fraction appear in its simplest forms.

The fraction given is = 2¾

The simplification of the fraction= 2^3/4 = 2

But simplification of 2¼ × 2½ is equal to;

2¼= 0.5

2½= 1

Therefore 2¾ is not equivalent to 2¼ × 2½ when simplified.

Learn more about fraction here:

brainly.com/question/78672

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6 0

2 years ago

Rick bought 3 shirts for $18 each, 2 pairs of socks for $3.99 a pair, and a pair of pants for $45.00. The sales tax

Andrews [41]

Answer:

Step-by-step explanation:

(3(18)+2(3.99)+45)(1.08)=(106.98)(1.08)=$115.54 (rounded to nearest cent)

7 0

2 years ago

Slope-intercept form of the equation for the line?

vaieri [72.5K]

Answer:

$\large\boxed{y=-\dfrac{3}{10}x+\dfrac{1}{2}}$

Step-by-step explanation:

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

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

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

We have the points from the graph (-5, 2) and (5, -1).

Substitute:

$m=\dfrac{-1-2}{5-(-5)}=\dfrac{-3}{10}=-\dfrac{3}{10}$

We have the equation in form:

$y=-\dfrac{3}{10}x+b$

Put the coordinates of the point (5, -1) to the equation:

$-1=-\dfrac{3}{10}(5)+b$

$-1=-\dfrac{3}{2}+b$

$-\dfrac{2}{2}=-\dfrac{3}{2}+b$ add 3/2 to both sides

$\dfrac{1}{2}=b\to b=\dfrac{1}{2}$

4 0

3 years ago

Adolfo spends $48 on school supplies.The sales tax is 7%.What is the total cost of the supplies?

Ganezh [65]

The answer would be $51.36

48.00 x 7% = 3.36

48.00 + 3.36 = $51.36

7 0

3 years ago