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Juli2301 [7.4K]
3 years ago
10

Is the point (8, -3) a solution to the linear equation 2x + 3y = 12

Mathematics
1 answer:
11111nata11111 [884]3 years ago
5 0

Answer:

No, (8, -3) is not a solution.

Step-by-step explanation:

2x + 3y = 12

(substitute the variables for the point; x = 8 & y = -3)

2(8) + 3(-3) = 12

16 - 9 = 12

7 ≠ 12

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Lucas works for a salary of $2,396 per month. His deductions include $360 of federal income tax, $148 for Social Security, $35 f
lana [24]

Answer:

Lucas monthly net pay is $1758

Step-by-step explanation:

Lucas works for a salary of $2,396 per month.

His deductions include $360 of federal income tax,

$148 for Social Security,

$35 for Medicare, and

a $95 insurance premium.

Now,

2396 - 360 - 148 - 35 - 95 = 1758

Thus, Lucas monthly net pay is $1758

<u>-TheUnknownScientist</u>

7 0
3 years ago
Four times the largest of three consecutive odd integers is 36 more than the sum of the other
erica [24]

If you know how to solve word problems involving the sum of consecutive even integers, you should be able to easily solve word problems that involve the sum of consecutive odd integers. The key is to have a good grasp of what odd integers are and how consecutive odd integers can be represented.

Odd Integers

If you recall, an even integer is always 22 times a number. Thus, the general form of an even number is n=2kn=2k, where kk is an integer.

So what does it mean when we say that an integer is odd? Well, it means that it’s one less or one more than an even number. In other words, odd integers are one unit less or one unit more of an even number.

Therefore, the general form of an odd integer can be expressed as nn is n=2k-1n=2k−1 or n=2k+1n=2k+1, where kk is an integer.

Observe that if you’re given an even integer, that even integer is always in between two odd integers. For instance, the even integer 44 is between 33 and 55.

6 0
3 years ago
Max is thinking of a number, which he calls n. He adds 8 and then doubles the sum.
Schach [20]

decimal:

3.2

fraction:

3.2/1

7 0
3 years ago
Math problem for high school
dedylja [7]

Answer:

50/3

Step-by-step explanation:

area of triangle = 10

area of circle = 10

area of triangle + area of circle = 20

The white sector of the circle has central angle 60°.

Its area is 1/6 the area of the circle.

To find the gray area, you must subtract the white area from the area of the circle and also subtract the white area from the area of the triangle. Two times the white area is 1/3 the area of the circle.

gray area = 20 - (1/3)10

gray area = 20 - 10/3

gray area = 60/3 - 10/3

gray area = 50/3

6 0
3 years ago
Read 2 more answers
There are three points on a line, A, B, and C, so that AB = 12 cm, BC = 13.5 cm. Find the length of the segment AC . Give all po
Semmy [17]

Answer:

AC = 25.5 or 1.5

Step-by-step explanation:

If they are on a line and they are in the order ABC

AB + BC = AC

12+13.5 = AC

25.5 = AC

If they are on a line and they are in the order CAB

CA + AB = BC

AC + 12 =13.5

AC = 13.5 -12

AC = 1.5

If they are on a line and they are in the order ACB

That would mean that AB is greater than BC and that is not the case

3 0
3 years ago
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