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sergejj [24]
3 years ago
7

Solve the System of Equations:-10x-3y=-18

Mathematics
1 answer:
AlladinOne [14]3 years ago
7 0

-10x - 3y = -18 (1)

-7x - 8y = 11 (2)

Multiply equation (1) by 8 and equation (2) by -3

-80x - 24y = -144 (1)

21x + 24y = -33 (2)

-------------------------------Add

-59x = -177

x = 3

Plug in x = 3 into -10x-3y=-18

-10(3) -3y =-18

-30 - 3y = -18

3y = -12

y = -4

Answer

(3, - 4)

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The following data points represent the number of attendees at each of the dance events hosted by Cloy
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Put the numbers in order.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 2: Find the median.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 3: Place parentheses around the numbers above and below the median.
Not necessary statistically, but it makes Q1 and Q3 easier to spot.
(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).
Step 4: Find Q1 and Q3
Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.
(1, 2, 5, 6, 7),  9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.
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5 0
3 years ago
A straight line has the same gradient as y=3x+5 and it passes through the point (0,12).
Leokris [45]

Answer:

y = 3x + 12

Step-by-step explanation:

y = 3x + 5 has slope 5.

We need the equation of a line with slope 5 that passes through point (0, 12).

y - y1 = m(x - x1)

y - 12 = 3(x - 0)

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5 0
2 years ago
Find the value of x........
raketka [301]

Answer:

x=23

Step-by-step explanation:

Hello There!

Remember the exterior angle of a triangle is equal to the opposite interior angles of a triangle

so

137-x=2x+3x-1

now we can solve for x

step 1 combine like terms

2x+3x=5x

now we have

137-x=5x-1

step 2 add 1 to each side

-1+1 cancels out

137+1=138

138-x=5x

step 2 add x to each side

-x+x cancels out

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now we have

138=6x

step 3 divide each side by 6

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138/6=23

we´re left with x=23

7 0
2 years ago
What fraction of 3 2/5 is 9 7/8
yanalaym [24]

Answer:

  395/136

Step-by-step explanation:

(9 7/8)/(3 2/5) = (79/8)/(17/5) = (79/8)(5/17) = 395/136

Since 9 7/8 is larger than 3 2/5, it is an improper fraction.

5 0
3 years ago
How many radians are in one degree, accurate to three decimal places?
qaws [65]
Now, if you recall, there are 180° in π radians, now, so how many radians in 1°?

\bf \begin{array}{ccll}
de grees&radians\\
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3 0
3 years ago
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