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ArbitrLikvidat [17]
3 years ago
5

Which expression is equal to p + (q + r)?

Mathematics
1 answer:
Svetach [21]3 years ago
7 0
The answer should be a) (p+q)*r
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What happens to the volume of a rectangular prism when the length and width are double and the height is tripled
Andrei [34K]

The volume goes up by a factor of 2 * 2 * 3 = 12 times.

3 0
3 years ago
The sum of person x and person y is 2640. if person x's income is 20% more than person y, find person x's income.
Masja [62]

Answer:

I do not understand she question do you mean the sum of their income is 2640

if so, then the answer is 440 to be x income

Step-by-step explanation:

x income = 20% or 1/5 of y income

y income = 5 of x income

we know that the sum of their income = 2640

which means that

x + y = 2640 =

1/5y + y = 2640

6y/5 = 2640

cross multiply to give us

6y = 5(2640)

6y = 13200

divide through by 6 to give us,

6y/6 = 13200/6

y = 2200

since we know that x income is 20% y income,

therefore, x income =

20/100 * 2200

= 440

therefore,

x income = 440

y income = 2200

5 0
2 years ago
Read 2 more answers
What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?
makkiz [27]

Answer:

118°

Step-by-step explanation:

When two parallel lines are cut by a tranversal, then the exterior angles are supplimentary and the corresponding angles are congruent.

Therefore the angle above (15x - 17)° is also (5x + 17)° and the angle below (5x + 17)° is also (15x - 17)°.

Angles on a straight line adds up to 180°. So to know the measure of the larger angle we must both equations and equal it to 180° to find x in order to know the larger angle.

(5x + 17) + (15x - 17) = 180

5x + 15x + 17 - 17 = 180

20x = 180

20x/20 = 180/20

x = 9°

Nkw let's substitute x = 9 into the equations

5x + 17 =

5(9) + 17 =

= 62°

15x - 17 =

15(9) - 17 =

= 118°

Both equations should add up to be 180°.

Therefore the measure of the largest angle is 118°.

6 0
3 years ago
HELP ME WITH THSI PROVLEM PLEASE MATH PROBLME
Katarina [22]

Answer:

4W=25

providing the distances from the hanger wire to the weights are equal.

Step-by-step explanation:

7 0
3 years ago
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:y >
pantera1 [17]

Answer:

Part A: The graph of given inequality is shown below.

Part B: The point (4,6) is not a solution of given system of inequalities.

Step-by-step explanation:

Part A:

The given inequalities are

y>2x+3

y

The related equation of given inequalities are

y=2x+3

y=-\frac{3}{2}x-4

Put x=0, to find the y-intercepts.

y=2(0)+3=3

y=-\frac{3}{2}(0)-4=-4

Put y=0, to find the x-intercepts.

0=2x+3\Rightarrow x=-\frac{3}{2}

0=-\frac{3}{2}x-4\Rightarrow x=-\frac{8}{3}

The x and y-intercepts of first line are (0,3) and (-1.5,0) respectively. The x and y-intercepts of second line are (0,-4) and (-2.667,0) respectively.

Check the given inequality by (0,0).

0>2(0)+3

0>3

This statement is false. It means (0,0) is not the solution of this inequality and the shaded region is opposite side of the origin.

0

0

This statement is false. It means (0,0) is not the solution of this inequality and the shaded region is opposite side of the origin.

The graph of given inequalities is shown below.

Part B:

We have to check whether (4,6) is a solution of the system of inequality or not.

Check the given inequality for the point (4,6).

(6)>2(4)+3

6>11

This statement is false. It means (4,6) is not the solution of given system of inequalities.

3 0
3 years ago
Read 2 more answers
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