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Anon25 [30]
3 years ago
5

Olivia spent $20.00 on pencils and pens. Each pencil cost $2.00, and each pen cost $2.50. Which equation represents the number o

f pencils, x, and the number of pens, y, Olivia could have bought?
Mathematics
1 answer:
Solnce55 [7]3 years ago
5 0

Answer: $2.00x + $2.50y = $20.00

Step-by-step explanation:

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Write the equation of the line that passes through the points (2, 3) and (3, -7). Put
FrozenT [24]

Answer:

y - 3 = -10 (x-2)

Step-by-step explanation:

The point-slope formula is y-y_1 = m (x-x_1). When knowing the slope of a line and a point it intersects, we can write its equation with that formula. Substitute m, x_1, and y_1 for real values.

1) First, find m, or the slope. Use the slope formula m = \frac{y_2-y_1}{x_2-x_1} and substitute the x and y values of the given points. Then, solve:

m = \frac{(-7)-(3)}{(3)-(2)} \\m = \frac{-7-3}{3-2} \\m = \frac{-10}{1} \\m = -10

Therefore, the slope of the line is -10.

2) Now, substitute the needed real values into the point-slope formula, y-y_1 = m (x-x_1). Since m represents the slope, substitute -10 in its place. Since x_1 and y_1 represent the x and y values of a point the line crosses, choose any of the points given and substitute its values into the formula. (Either one is fine, they both equal the same thing. I chose (2,3).) This will give the following answer and equation:

y - 3 = -10 (x-2)

7 0
3 years ago
I’m confused on this
dexar [7]

\huge\boxed{x=25}

The mistake is in Step 1. The solver should have also squared 9 when squaring the other side of the equation.

<h3>Correctly solving</h3>

\begin{aligned}\sqrt{3x+6}&=9\\(\sqrt{3x+6})^2&=9^2\\3x+6&=81\\3x+6-6&=81-6\\3x&=75\\\frac{3x}{3}&=\frac{75}{3}\\x&=25\end{aligned}

4 0
2 years ago
Read 2 more answers
Two cubes have their surface areas in the ratio 1:4 , what is the ratio of their volumes ?
yKpoI14uk [10]

Answer:

1 : 8

Step-by-step explanation:

For similar figures with ratio of sides = a : b

Then ratio of areas = a² : b² and

ratio of volumes = a³ : b³

Given ratio of areas = 1 : 4

linear ratio = \sqrt{1} : \sqrt{4} = 1 : 2

ratio of volumes = 1³ : 2³ = 1 : 8


8 0
3 years ago
How many solutions does the pair of equations y = 0 and y = -5 have?
Crank

Answer: None

Step-by-step explanation:

y=0 and y=-5 don't have any solutions. When you ask if a pair of equations have a solution, that means there is an intersection of the equations. The 2 equations will meet somewhere, and that is the solution. To find the solution, you set the equations equal to each other.

0≠-5

It is obvious that 0 and -5 are not equal to each other. Therefore, there is no solution. Also, y=0 and y=-5 are horizontal lines that are parallel to each other. They will never meet, which means there will be no intersection. No intersection means no solutions.

8 0
3 years ago
Help please I will give you the brainliest
ioda

Answer:2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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