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lukranit [14]
3 years ago
8

Solve the following system of equations. Express your answer as an ordered pair in the format(a,b), with no spaces between the n

umbers or symbols.
3x+4y=17
-4x-3y=-18
Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0
3x + 4y = 17....multiply by 4
-4x - 3y = - 18 ....multiply by 3
-------------------
12x + 16y = 68 (result of multiplying by 4)
-12x - 9y = - 54 (result of multiplying by 3)
------------------add
7y = 14
y = 14/7
y = 2

3x + 4y = 17
3x + 4(2) = 17
3x + 8 = 17
3x = 17 - 8
3x = 9
x = 9/3
x = 3

solution is (3,2)
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the table shows the heights of 40 students in a class calculate an estimate for the mean height of the students
nexus9112 [7]

Answer:

For mean

To show the mean of height measures for 40 students, you need to write-out exactly 40 heights into a calculator and add them up.

Then divide that total number by 40.

Step-by-step explanation:

Eg for 4 students

5 , 5.1, 5.2, 5.7 = 21ft

21/4 = 5.25ft.

Apply the same method but use 40 measures in addition for calulator or long addition. Then divide by 40.

5 0
4 years ago
The reciprocal of 2/3 is 3/2. If the reciprocal of 4x/5 is 1/20, what is x?
Black_prince [1.1K]

Since 4x/5 is the reciprocal of 1/20, that means that 4x/5 = 20/1, or 20. Using this info, we can form the equation \frac{4x}{5}=20 . From there we can solve for x.

Firstly, multiply both sides by 5: 4x=100

Next, divide both sides by 4 and your answer will be x=25

6 0
3 years ago
Sydney described a ruler as a length of plastic that starts at 0 and continues on to 12 inches. The geometric term that best des
musickatia [10]

Answer:

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4 0
4 years ago
How do i change the area using a scale factor
SCORPION-xisa [38]
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7 0
3 years ago
Suppose that you are traveling straight from Los Angeles, California to Denver, Colorado, stopping overnight in Page, Arizona. T
defon
The answer is
LA to Page: 611 mi
Page to Denver: 406 mi

Total distance from LA to Denver is T.
The distance LA to Page is x
The distance Page to Denver is y.

T = x + y
T = 1017
______
x + y = 1017

<span>The distance from L.A. to Page (x) is 205 miles greater than the distance from Page to Denver (y):
x = y + 205

The system of two equations:
</span>x + y = 1017
x = y + 205

Substitute x from the second equation into the first one:
y + 205 + y = 1017
2y + 205 = 1017
2y = 1017 - 205
2y = 812
y = 812 / 2
y = 406 mi (Page to Denver)

x = y + 205 = 406 + 205 = 611 mi (LA to Page)
7 0
4 years ago
Read 2 more answers
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