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3 years ago

Alyssa has 25$. She spends 4/5 of her allowance on a new shirt . How much did she spend on the shirt

Mathematics

1 answer:

pickupchik [31]3 years ago

7 0

Answer:

20$

Step-by-step explanation:

Alyssa has 25$.

Allowance of her new shirt = 4/5 of her allowance on a new shirt .

The amount she spent on her new shirt is calculated as:

25$ × 4/5

= 20$

Therefore, Alyssa spent $20 on her new shirt

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A line passes through the point (6,-2) and has a slope of -3/2

natita [175]

Answer:

-1.5x - y + 7 = 0

Step-by-step explanation:

The formula for point slope form is y-yA = m(x - xA).

y - (-2) = -1.5(x + 6)

y + 2 = -1.5x + 9

y = -1.5x + 9 - 2

y = -1.5x + 7

-1.5x - y + 7 = 0 is the point slope form.

8 0

3 years ago

Read 2 more answers

The cost of dinner for 5 friends was $75, plus a $15 tip. If the cost of the meal and tip was split eqaully among the friends, h

stiv31 [10]

They each paid $18. 75+15= 90 and 90/5=18

3 0

3 years ago

Can anyone help me with this problem?

Mrac [35]

Answer: The number of tomatoes went up relative to the increase of fertilizer used. the slope is positive.

Step-by-step explanation:

6 0

4 years ago

Which two tables represent the same function?

topjm [15]

Answer:

The 1st and the 5th tables represent the same function

Step-by-step explanation:

* Lets explain how to solve the problem

- There are five tables of functions, two of them are equal

- To find the two equal function lets find their equations

- The form of the equation of a line whose endpoints are (x1 , y1) and

(x2 , y2) is $\frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

* Lets make the equation of each table

# (x1 , y1) = (4 , 8) and (x2 , y2) = (6 , 7)

∵ x1 = 4 , x2 = 6 and y1 = 8 , y2 = 7

∴ $\frac{y-8}{x-4}=\frac{7-8}{6-4}$

∴ $\frac{y-8}{x-4}=\frac{-1}{2}$

- By using cross multiplication

∴ 2(y - 8) = -1(x - 4) ⇒ simplify

∴ 2y - 16 = -x + 4 ⇒ add x and 16 for two sides

∴ x + 2y = 20 ⇒ (1)

# (x1 , y1) = (4 , 5) and (x2 , y2) = (6 , 4)

∵ x1 = 4 , x2 = 6 and y1 = 5 , y2 = 4

∴ $\frac{y-5}{x-4}=\frac{4-5}{6-4}$

∴ $\frac{y-5}{x-4}=\frac{-1}{2}$

- By using cross multiplication

∴ 2(y - 5) = -1(x - 4) ⇒ simplify

∴ 2y - 10 = -x + 4 ⇒ add x and 10 for two sides

∴ x + 2y = 14 ⇒ (2)

# (x1 , y1) = (2 , 8) and (x2 , y2) = (8 , 5)

∵ x1 = 2 , x2 = 8 and y1 = 8 , y2 = 5

∴ $\frac{y-8}{x-2}=\frac{5-8}{8-2}$

∴ $\frac{y-8}{x-2}=\frac{-3}{6}=====\frac{y-8}{x-2}=\frac{-1}{2}$

- By using cross multiplication

∴ 2(y - 8) = -1(x - 2) ⇒ simplify

∴ 2y - 16 = -x + 2 ⇒ add x and 16 for two sides

∴ x + 2y = 18 ⇒ (3)

# (x1 , y1) = (2 , 10) and (x2 , y2) = (6 , 14)

∵ x1 = 2 , x2 = 6 and y1 = 10 , y2 = 14

∴ $\frac{y-10}{x-2}=\frac{14-10}{6-2}$

∴ $\frac{y-10}{x-2}=\frac{4}{4}======\frac{y-10}{x-2}=1$

- By using cross multiplication

∴ (y - 10) = (x - 2)

∴ y - 10 = x - 2 ⇒ add 2 and subtract y in the two sides

∴ -8 = x - y ⇒ switch the two sides

∴ x - y = -8 ⇒ (4)

# (x1 , y1) = (2 , 9) and (x2 , y2) = (8 , 6)

∵ x1 = 2 , x2 = 8 and y1 = 9 , y2 = 6

∴ $\frac{y-9}{x-2}=\frac{6-9}{8-2}$

∴ $\frac{y-9}{x-2}=\frac{-3}{6}======\frac{y-9}{x-2}=\frac{-1}{2}$

- By using cross multiplication

∴ 2(y - 9) = -1(x - 2) ⇒ simplify

∴ 2y - 18 = -x + 2 ⇒ add x and 18 for two sides

∴ x + 2y = 20 ⇒ (5)

- Equations (1) and (5) are the same

∴ The 1st and the 5th tables represent the same function

3 0

4 years ago

How do you solve -2(x + 3y) = 18

sergiy2304 [10]

solving equation in terms of x we get $x=-9-3y$

solving equation in terms of y we get $y=-3-1/3x$

Step-by-step explanation:

We need to solve the equation: $-2(x + 3y) = 18$

Solving the equation:

$-2(x + 3y) = 18\\-2x-6y=18$

Simplifying and finding value of x:

$-2x-6y=18\\-2x=18+6y\\-2x/-2=18/-2+6y/-2\\x=-9-3y$

We can simplify and find value of y as well:

$-2x-6y=18\\-6y=18+2x\\-6y/-6=18/-6+2x/-6\\y=-3-1/3x$

So, solving equation in terms of x we get $x=-9-3y$

solving equation in terms of y we get $y=-3-1/3x$

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

5 0

3 years ago