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solong [7]
3 years ago
14

2. Graph the solution set to the following inequality: 7-y<2x

Mathematics
1 answer:
nirvana33 [79]3 years ago
7 0

Step-by-step explanation:

First solve for y,

7-y<2x

7-2x<y

y>-2x+7

your y intercept would be (0,7)

and your slope would be -2/1 so, you go down 2 and 1 to the right.

Since this is a greater than symbol, we have to shade above the line and the line would also be a dotted line.

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A motor club has estimated that a 325 mile car trip will take 6 1/2 hours. What is the club assuming to be the average speed mil
In-s [12.5K]

<u>Answer: </u>

The average speed that the club is assuming is 50 miles per hour

<u>Solution: </u>

We know that Distance = Speed × Time.

Here it is given that distance is 325 miles and the time to cover 325 miles is 6_{2}^{1} hours which is equal to \frac{13}{2} hours.

Now to find the average speed mile per hour we use the formula

\begin{aligned} \text { Speed } &=\frac{\text { Distance }}{\text { time }} \\ &=\frac{325}{\frac{13}{2}} \\ &=\frac{325 \times 2}{13} \end{aligned}

By cancelling 325 by 13 we get 25

= 25 × 2  

= 50 miles per hour

Thus the average speed that the club is assuming is 50 miles per hour.

3 0
3 years ago
Which of the following expresses 16 + 36 by using the GCF of the two numbers?
sergij07 [2.7K]

16 + 36 = 52 so the answer would be A) 4(4 + 9) because that equals 52 as well.

6 0
3 years ago
Read 2 more answers
What is the sum of 7x/(x^2-4) and 2/(x+2)​
ioda

Answer:

The answer is 9x-4/(x+2)(x-2)

7 0
3 years ago
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Please help fast i will give you the most Brainly <br><br><br> what would n = 3(n+7)=48
neonofarm [45]

Answer:

n = 9

Step-by-step explanation:

3(n+7)=48

distribute

3n +21 = 48

subtract 21 from each side

3n = 48-21

3n = 27

divide by 3

3n/3 = 27/3

n = 9

5 0
3 years ago
Lizzie rolls two dice. What is the probability that the sum of the dice is:
zhenek [66]

Answer:

A.\ \dfrac{1}{3}\\B.\ \dfrac{5}{12}\\C.\ \dfrac{7}{36}\\

Step-by-step explanation:

Total outcomes possible: 36

A. Divisible by 3

Possible options are:

3, 6, 9 and 12.

Possible outcomes for 3 are: {(1,2), (2,1)} Count 2

Possible outcomes for 6 are: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

Possible outcomes for 9 are: {(3,6), (4,5), (5,4),(6,3)} Count 4

Possible outcomes for 12 are: {(6,6)} Count 1

Total count = 2 + 5 + 4 + 1 = 12

Probability of an event E can be formulated as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

P(A)  = \dfrac{12}{36} = \dfrac{1}{3}

B. Less than 7:

Possible sum can be 2, 3, 4, 5, 6

Possible cases for sum 2: {(1,1)}  Count 1

Possible cases for sum 3: {(1,2), (2,1)}  Count 2

Possible cases for sum 4: {(1,3), (3,1), (2,2)}  Count 3

Possible cases for sum 5: {(1,4), (2,3), (3,2),(4,1)}  Count 4

Possible cases for sum 6: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

Total count = 1 + 2 + 3 + 4 + 5 = 15

P(B)  = \dfrac{15}{36} = \dfrac{5}{12}

C. Divisible by 3 and less than 7:

P(A \cap B) = \dfrac{n(A\cap B)}{\text{Total Possible outcomes}}

Here, common cases are:

Possible outcomes for 3 are: {(1,2), (2,1)} Count 2

Possible outcomes for 6 are: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

P(A \cap B) = \dfrac{7}{\text{36}}

5 0
3 years ago
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