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Butoxors [25]
3 years ago
5

Use the substitution method to solve.

Mathematics
1 answer:
lord [1]3 years ago
4 0

Answer:

x = 7, y = 6

Step-by-step explanation:

solve for y for the first equation

2x + y = 20

-2x         -2x , eliminate 2x

y = 20-2x

now that we have found y, substitute the y in for the second equation

-5y = -6x + 12

-5(20-2x) = -6x + 12, we just changed y into 20-2x. remember that we are multiplying all of 20 - 2x by -5

-100+10x = -6x + 12, we multiplied everything from the parathesis  by -5

+100                 + 100, eliminate -100

10x = -6x + 112

+6x    +6x , eliminate 6x

16x = 112 , solve for x

x = 7

then y = 20 - 2x = 20 - 2*7 = 6

check:

2 * 7 + 6 = 20

20 = 20

-5 * 6 = -6 * 7 + 12

-30 = -42 + 12

-30 = -30

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On an architects blueprint, 1 inch corresponds to 9 feet. If an exterior wall is 60 feet long, find how long the blueprint measu
andre [41]

Answer:

x = 6.67 inches

Step-by-step explanation:

Set upa s a proportion

x/60 = 1/9

x = 1/9 * 60

x = 6.67 inches

6 0
3 years ago
The fastest speed at table tennis ball has been hit is 21.12 faster than the speed for the fastest swimmer. What is the speed fo
Juli2301 [7.4K]

Remark

You cannot give an answer to this unless you are give the fastest speed of a swimmer. That stat is not an easy one to decide upon. At what distance for example or do you eliminate distance? Since this is a college level question, I don't think it unreasonable that you have to research raw distance over fastest time.

The fastest speed I can find is 100 meters in 46.91 seconds.  That means that the actual speed of the swimmer is 100 meters / 46.91 = 2.132 meters / second.

Givens

Set up a proportion with the numbers found and given

Speed of ball / speed of swimmer = 21.12 / 1

Speed of ball = x

Solution

Speed of swimmer = 2.132 m/s

x / 2.132 = 21.12 / 1          Multiply Both sides by 2.132

x = 21.12 * 2.132 / 1

x = 45.02 m/s

Answer

45.02 m/s

8 0
3 years ago
Read 2 more answers
Find the distance between the line 1.2x − 0.5y + 1.1=0 and the origin.
denpristay [2]

Answer:

The answer to your question is: d = 0.85 units

Step-by-step explanation:

Data

Line equation:  1.2 x − 0.5 y + 1.1 = 0        A = 1.2; B = -0.5; C = 1.1

Point (0, 0)                                                  x = 0; y = 0

Formula

d = | Ax + By + C | / √(A² + B²)

Process

d = |(1.2)(0) + (-0.5)(0) + 1.1 | / √ (1.2)² + (0.5)²

d = | 1.1 | / √ 1.44 + 0.25

d = 1.1 / √ 1.69

d = 1.1 / 1.3

d = 0.85 units

7 0
3 years ago
The curve with equation y = f ( x ) is stretched so that the point (-3,-5) moves to the point (-3,-10). State in terms of f ( x
Leviafan [203]

Answer:

The transformed function is g(x) = 2\cdot f(x), \forall\,x \in \mathbb{R}.

Step-by-step explanation:

Let be f(x) and g(x) continuous functions in x. In this case, the stretch factor consist on multiplying f(x) by a scalar factor, so that:

g(x) = k \cdot f(x), \forall\, k\in \mathbb{R}, k \neq 0

The stretch factor is:

k = \frac{g(x)}{f(x)}, \forall\, x \in \mathbb{R}

If f(-3) = -5 and g(-3) = -10, then:

k = \frac{g(-3)}{f(-3)}

k = \frac{-10}{-5}

k = 2

The transformed function is g(x) = 2\cdot f(x), \forall\,x \in \mathbb{R}.

5 0
3 years ago
Stefan spent half of his weekly allowance on clothes to earn more money his parents let him wash the car for $5 what is his week
Bad White [126]
$30 I think not to sure thought
6 0
3 years ago
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