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soldier1979 [14.2K]
3 years ago
10

Which one of the following statements expresses a true proportion?

Mathematics
1 answer:
beks73 [17]3 years ago
6 0
Answer: B
Because 3x4=12 and 5x4=20
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What pattern do you notice in the numbers below? 1 = 1 × 1, and 1 × 1 × 1, and 1 × 1 × 1 64 = 8 × 8, and 4 × 4 × 4 729 = 27 × 27
11111nata11111 [884]

Answer:

<h3>C. They are both perfect squares and perfect cubes.</h3>

Step-by-step explanation:

Perfect squares are numbers that their square root can be found easily without any remainder.

Given the following patterns;

1*1 = 1  and 1*1*1 = 1

It can be seen that 1 is 1 perfect square since 1*1 = 1² = 1

Also 1 is perfect cube since 1*1*1 = 1³ = 1 (cube of the value gives 1)

Similarly for the expression;

8*8 = 64

8² = 64 (since the square of 8 gives 64, then 64 is known to be a perfect square)

Also 4*4*4 = 64

i.e 4³ = 64 (This shows that the cube root of 64 is 4 making it a perfect cube since we can get a whole number for the cube root of 64)

The same is applicable for other expressions 729 = 27 × 27, and 9 × 9 × 9, 4,096 = 64 × 64, and 16 × 16 × 16

This values are easily expressed as a constant multiple of a number showing that they are both perfect squares and perfect cubes.

4 0
3 years ago
Please help I’m struggling so bad
Anastaziya [24]

Answer:

a) (100,70)

b) the point of intersection means that Auto-Loans and Rent-a-Car companies will both have a daily cost of $70 when the distance driven is 100km.

c) Auto-Loans: y = 1/2x+20

Rent-a-Car: y = 1/5x+50

d) this means that the third company would have a y-intercept of 0 (its daily cost and distance would start at 0) and it would also have a daily cost of $70 when the distance driven is 100km. this would also mean that the third company's line would have a slope of 7/10

Third company's line: y=7/10x+0

(I'm sorry if I got anything wrong, but I hope this helps!)

Step-by-step explanation:

a) the point of intersection is where the two lines meet

this is at (100, 70)

b) in the context of this problem, the point of intersection means that Auto-Loans and Rent-a-Car companies will both have a daily cost of $70 when the distance driven is 100km.

c) Auto-Loans: y = 1/2x+20

Rent-a-Car: y = 1/5x+50

*this is because the slope of a line can be found by rise/run, and the y-intercept can be found by where it is located on the y-axis, since x would be 0.)

(for example, for Auto-Loans, the slope would be rise/run which in this case would be 10/20 or 1/2. the y-intercept is 20 since the y is 20 when it is on the y-axis).

d) if a third company's line starts at (0,0) and has the same point of intersection, this means that the third company would have a y-intercept of 0 (its daily cost and distance would start at 0) and it would also have a daily cost of $70 when the distance driven is 100km. this would also mean that the third company's line would have a slope of 7/10

Third company's line: y=7/10x+0

3 0
2 years ago
A bookstore had 45 copies of a magazine. Yesterday, it sold 13 of them. Today, it sold 23 of what remained. How many copies does
Elan Coil [88]

Answer:

9

Step-by-step explanation:

Total initially in bookstore = 45

Sold 13copies, remaining copies = 45-13= 32

Sold 23 copies again, remaining copies = 32-23 = 9

Copies left = 9

6 0
2 years ago
Find the area of the circle.<br> Use 3.14 for π.<br> d = 10 cm<br> A = [?] cm²<br> A=TCr2
Stells [14]

Answer:

78.5

Step-by-step explanation:

The diameter (d) is equal to the radius x 2, so take half of d to get r. Use r (5) in the equation to get your answer.

A= 3.12 x 5^2

A= 78.5

5 0
2 years ago
What is the answer for <br>11x-5(2x+1)=-2
Lerok [7]

2x^2 - 11x + 5 = (2x-1)(x-5)

8 0
3 years ago
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