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3 years ago

Which table shows a proportional relationship

Mathematics

1 answer:

yKpoI14uk [10]3 years ago

6 0

C, because as x increases y increases by a factor of 2. There is a constant value ( 2 ) which is being times to y in every value for x. So y is a constant multiple of x because x is always being multiplied by 2.

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The sum of two consecutive integers is 31. find the larger number

Verdich [7]

Consider the intergers as, x and x+1

x+(x+1)=31

2x+1=31

2x=30

x=15

So, (x+1)=(15+1)=16 would be larger number.

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3 years ago

Evaluate 2 + 4/5 n for n = 1/4

Sophie [7]

Answer:

$2\frac{1}{5}$

Step-by-step explanation:

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3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 ft.

Vedmedyk [2.9K]

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3 years ago

A diving board is 10 feet above the surface of the water. At time t = 0, the board propels Chris upward at a rate of 12 feet per

Art [367]

Answer:

Chris will take 0.75 seconds to return to his starting height of 10 feet.

Step-by-step explanation:

Let the height of Chris be represented by $h(t) = -16\cdot t^{2}+12\cdot t +10$ , where $h(t)$ is the height in feet and $t$ , the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

$-16\cdot t^{2}+12\cdot t +10 = 10$

$-16\cdot t^{2}+12\cdot t = 0$

Then, we simplify the expression by algebraic means:

$-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0$

Roots of the polynomial are, respectively:

$t = 0\,s\,\lor \,t = 0.75\,s$

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

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3 years ago

Dorian buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for 26.25 which is less expensive per pound how much l

Anit [1.1K]

Answer:

The apricots are $2.24 less expensive per pound.

Step-by-step explanation:

To find the price per pound of each product divide the price Dorian by the number of pounds Dorian bought:

Almonds: 21.98 ÷ 2 = 10.99

Almonds cost $10.99 per pound.

Apricots: 26.25 ÷ 3 = 8.75

Apricots cost $8.75 per pound.

The apricots are less expensive per pound. To find how much less expensive they are compared to the almonds, subtract the cost of the apricots per pound from the cost of the almonds per pound:

10.99 - 8.75 = 2.24

The apricots cost $2.24 less per pound than the almonds do.

5 0

3 years ago

Which table shows a proportional relationship​

Which table shows a proportional relationship