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WARRIOR [948]
3 years ago
14

Determine if the point (-6,8) is a solution to the following system of equations y=1/2x-5 and x+3y=-30

Mathematics
1 answer:
Slav-nsk [51]3 years ago
3 0
To do this you would plug in the x values and the y value into both equations. So 8=-3 -5 and -6+24=-30, bothof which are incorrect.
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HELP ASAP!!!!!!!!!!!!!! ITS AN EMERGENCY!!!!!!!!
laila [671]

Answer

Step-by-step explanation:

4 0
2 years ago
PLEASE HELP ASAP I DON'T UNDERSTAND
Ira Lisetskai [31]
The slope of a linear equation will tell you the price of each ticket. The y-intercept tells you the convenience fee.
We can find the slope by choosing two points and finding the slope.
m = (y2 - y1)/(x2 - x1)
m = (887.40 - 231.15)/(20 - 5)
m = 656.25/15
m = 43.75
Each ticket will cost $43.75
4 0
3 years ago
Jay is hanging 160 feet of Christmas garland on the three sides (two on the width and one on the length) of fencing that enclose
Setler [38]

The length of the fencing is 62.4 feet.

The width of the fencing is 17.6 feet.

Given,

The measurement of the Christmas garland = 160 feet

The width of the fencing = w

The length of the fencing, l = 4w - 8

We have to find the length and width of the fencing.

Here,

Perimeter can be taken as 160. Because garland will cover the entire fencing.

Perimeter = 2(l + w)

160 = 2(4w - 8 + w)

160 = 2(5w - 8)

160/2 = 5w - 8

80 + 8 = 5w

88/5 = w

width = 17.6 feet

Now,

l = 4w - 8

l = 4 × 17.6 - 8

l = 70.4 - 8

length = 62.4 feet

That is,

The length of the fencing is 62.4 feet.

The width of the fencing is 17.6 feet.

Learn more about perimeter here:

brainly.com/question/13023749

#SPJ1

3 0
1 year ago
A game of chance involves rolling an unevenly balanced 4-sided die. The probability that a roll comes up 1 is 0.22, the probabil
GuDViN [60]

Answer:

Expected Winnings = 2.6

Step-by-step explanation:

Since the probability of rolling a 1 is 0.22 and the probability of rolling either a 1 or a 2 is 0.42, the probability of rolling only a 2 can be determined as:

P_{1,2} = P_{1}+P_{2}\\P_{2} = 0.42 - 0.22 = 0.20

The same logic can be applied to find the probability of rolling a 3

P_{2,3} = P_{2}+P_{3}\\P_{3} = 0.54 - 0.20 = 0.34

The sum of all probabilities must equal 1.00, so the probability of rolling a 4 is:

P_{4} =1- P_{1}+P_{2}+P_{3} = 1-0.22+0.20+0.34\\P_{4}=0.24

The expected winnings (EW) is found by adding the product of each value by its likelihood:

EW=1*P_{1}+2*P_{2}+ 3*P_{3}+ 4*P_{4} \\EW=1*0.22+2*0.20+ 3*0.34+ 4*0.24\\EW=2.6

Expected Winnings = 2.6

8 0
3 years ago
The quadrilaterals ABCD and PQRS are similar. Find the length X of SP.
BaLLatris [955]

Answer:

x = 3.6

Step-by-step explanation:

Since Quadrilateral ABCD ~ PQRS, therefore:

\frac{AB}{PQ} = \frac{BC}{QR} = \frac{CD}{RS} = \frac{DA}{SP}

Let's find the value of x by using the ratio of two corresponding sides of both quadrilaterals. Let's use:

\frac{CD}{RS} = \frac{DA}{SP}

CD = 5

RS = 4.5

DA = 4

SP = x

\frac{5}{4.5} = \frac{4}{x}

Cross multiply

5*x = 4.5*4

5x = 18

Divide both sides by 5

x = \frac{18}{5}

x = 3.6

6 0
3 years ago
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