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seraphim [82]
3 years ago
8

Solve each system by elimination x + 2y = 20 3x +2y = -12

Mathematics
1 answer:
neonofarm [45]3 years ago
3 0
The answer is (2,-9). Hope i can help.
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A turtle can walk 1/12 of a kilometer in an hour the turtle is 1/5 of a kilometer away from a pond
34kurt

Answer:

2\frac{2}{5}\ h

Step-by-step explanation:

we know that

A turtle can walk 1/12 of a kilometer in an hour

so

by proportion

Find how long will it take the turtle to reach the pond (1/5 km)

\frac{1}{(1/12)}\frac{h}{km}=\frac{x}{(1/5)}\frac{h}{km} \\ \\x=\frac{(1/5)}{(1/12)} \\ \\x=\frac{12}{5}\ h

Convert to mixed number

\frac{12}{5}\ h=\frac{10}{5}+\frac{2}{5}=2\frac{2}{5}\ h

5 0
3 years ago
Read 2 more answers
Use the relative frequency approach to estimate the probability of the event. In a certain class of students, there are 8 boys f
In-s [12.5K]

Answer:

P\text{Student will be from Kenilworth}\approx 0.256

Step-by-step explanation:

We have been given that that there are 8 boys from Wilmette, 5 girls from Kenilworth, 9 girls from Wilmette, 5 boys from Glencoe, 5 boys from Kenilworth and 7 girls from Glenoce.

The total number of students from Kenilworth is 5 boys plus 5 girls that is 10 students.

The total number of students in the class would be 8+5+9+5+5+7=39

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}

P\text{Student will be from Kenilworth}=\frac{\text{Number of student from Kenilworth}}{\text{Total number of students}}

P\text{Student will be from Kenilworth}=\frac{10}{39}

P\text{Student will be from Kenilworth}=0.2564102564

P\text{Student will be from Kenilworth}\approx 0.256

Therefore, the probability, that the student will be from Kenilworth, is approximately 0.256.

7 0
3 years ago
Find the equation of a line parallel to y=x-20 that passes through (1,4)
inessss [21]

Hey!

So the first thing we can notice is that we are given the equation of the line parallel to the one we need to find. Two parallel lines always have the same slope. We can tell by looking at the equation that the slope of the line that we have been given is 1 and since the lines are parallel the slope of the line we need to find is also 1.

Knowing this and a point that the line passes through, we can find the y-intercept or b:

y = mx + b

4 = 1(1) + b

4 = 1 + b

3 = b

Since we know that the y-intercept is 3, we can plug this back into the slope intercept form equation along with the slope to get our equation:

y = x + 3

8 0
4 years ago
Can someone explain please?
Paul [167]

Answer:

- The equation that represent the cost C of renting a car and driving x miles is C = $39.11 + $0.50x

- $130 can travel 181.32 miles

Step-by-step explanation:

From the question, a rental company rents a luxury car at a daily rate of 39.34 ​$ plus​ $.50 per mile, that is

$0.50 is added to the initial $39.34 for every mile.

The equation that represent the cost C of renting a car and driving x miles is

C = $39.34 + $0.50x

Now, to determine how many miles 130$ can travel,

we will put C = $100, and determine x in the above equation

$130 = $39.34 + $0.50x

$130 - $39.34 = $0.50x

$90.66 = $0.50x

x = $90.66/$0.50

x = 181.32

Hence, $130 can travel 181.32 miles

7 0
3 years ago
Please help me I tried 7u/48 and 7u^2 / 4a^6 and both were wrong​
Vinvika [58]

Answer:

\frac{7}{4} u^{-4}

Step-by-step explanation:

49/28 is 7/4

Applying the inverse law

u^2-6

u^-4

therefore \frac{7}{4} u^{-4}

5 0
3 years ago
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