What is the solution of the system defined by y = -x + 5 and 5x + 2y = 14?
Answers
y = - x + 5
and
5x + 2y =14
Now we will have to put the value of y from the first equation in the second equation and then calculate.
5x + 2y = 14
5x + 2(-x + 5) = 14
5x - 2x + 10 = 14
3x = 14 - 10
3x = 4
x = 4/3
Now we have to put the value of x in the first equation for determining the value of y
y = - x + 5
= - (4/3) + 5
= (15 - 4)/3
= 11/3
So the value of x is 4/3 and the value of y is 11/3.
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What is the distance between the points (-6, 7) and(-1, 1)? Round to the nearest whole unit.I need ASAP plzzzz
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Answer:
0.0238
Step-by-step explanation:
Total number of persons to be chosen from = 7
If each person has an equal probability of being selected ;
Number of persons to be selected = 2
Probability = required outcome / Total possible outcomes
P(Anna first) = 1 / 7
Recall; this is a selection without replacement ;
P(Darlene second) = 1 / 6
1/7 * 1/ 6 = 1 / 42 = 0.0238
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Answer:
youre answer will be the opiton apple juice
Answers
Answer:
The answer is 12. 12 divided by 2/5 will give us 30.
Step-by-step explanation:
To find this, simply do the opposite of dividing. Simply multiply 2/5 by 30, and you'll have your answer.
First, before we do this, however, we are going to find out what the decimal form of 2/5 is. To do this, divide the numerator by the denominator. In this case, 2 is the numerator and 5 is the denominator. So divide 2 by 5.
This gives us 0.4. So 2/5 in decimal form is 0.4. Now multiply 0.4 by 30 to find your answer.
30*0.4=12
So the answer is 12. However, rememeber that you always need to check your work. So lets check.
12/30=0.4
0.4=0.4
Do we get a true statement? Yes, so we are correct.
The number you are looking for is 75.
To find the number that, when divided by 2/5, gives 30, we can set up the following equation:
x / (2/5) = 30
To solve this equation, we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:
x = 30(5/2)
Simplifying the right side of the equation:
x = 150/2
Dividing 150 by 2:
x = 75
Therefore, the number you are looking for is 75.
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The second store has no membership fee but charges $3.50 per movie rented.
How many movies would you have to rent in order for the cost to be the same at both stores?
Answers
Answer: 6 movies
Step-by-step explanation:
$20+$1.50= $21.50
$3.50x6= $21