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Bumek [7]
3 years ago
10

You use a gift card to buy a pair of shorts for $8. There is $32 left on the gift card after your purchase. What was the origina

l amount of your gift card?
Mathematics
1 answer:
LenKa [72]3 years ago
6 0
40 Dollars Was the original ammount

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In triangle ABC the measure of A is 33° and the measure of C is 90° . what is the measure of B​
Masteriza [31]

Answer:

57°

Step-by-step explanation:

ALL angles in a triangle add up to 180°

SO, if we know the sum of two angles which is 123° (why: 33+90=123), all we have to do is subtract this number from 180 to get the measure of the 3rd angle. Which in this case is 57°

6 0
2 years ago
This table represents a proportional relationship. Find the constant of proportionality.
Pavel [41]

Answer:

1. 4

2. y = 4x

Step-by-step explanation:

1.

Divide any y value by its corresponding x value to find the constant of proportionality.

8/2 = 4

Constant of proportionality: 4

2.

Equation of proportional relation:

y = kx, where k is the constant of proportionality.

y = 4x

7 0
3 years ago
Read 2 more answers
Which of the following describes a similarity between a solid and a gas
lyudmila [28]

Answer:

  • they are both states of matter
  • they are both made up of atoms, molecules and ions
  • they both have volume
4 0
3 years ago
What is the equation of the line with a y-intercept of 4 and a point (8,8)? ​
Nookie1986 [14]

Answer:

The equation of the line with a y-intercept of 4 and a point (8,8) is y=\frac{1}{2} *x+4

Step-by-step explanation:

A linear equation can be expressed in the form

y = m * x + b

where x and y are coordinates of a point, m is the slope and b is the y-intercept. Since this equation describes a line in terms of its slope and its y-intercept, this equation is said to be in its slope-intercept form.

Graphically this equation represents a line.

In this case, you know:

  • The point (x,y)=(8,8)
  • Y-intercept= 4

Replacing:

8=m*8 +4

Solving:

8-4=m*8

4=m*8

4÷8= m

m=\frac{1}{2}

Then, <u><em>the equation of the line with a y-intercept of 4 and a point (8,8) is </em></u>y=\frac{1}{2} *x+4<u><em></em></u>

7 0
3 years ago
Solve each equation x+2y=1 and -x+y=2
Rudiy27

Answer:

x = -1, y = 1

Step-by-step explanation:

x + 2y = 1

Subtract 2y from both sides

x + 2y - 2y = 1 - 2y (simplify) -> x= 1 - 2y

----

-x + y = 2

Subtract y from both sides

-x + y - y + 2 - y (simplify) -> -x = 2 - y

Divide both sides by -1

\frac{-x}{-1} = \frac{2}{-1} - \frac{y}{-1} (simplify) -> x = -2 + y

6 0
2 years ago
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