A car releases 19.6 pounds of carbon dioxide for every 1 gallon of gasoline burned. Estimate the number of pounds of carbon dioxide released if 14.5 gallons are burned.

24 is 60% of the number 40.

To find the number that 24 is 60% of, we can set up a proportion. Let's assume the unknown number is represented by "x". The proportion would be:

24/x = 60/100

To solve for x, we can cross-multiply:

60x = 24(100)

Simplifying the equation:

60x = 2400

Dividing both sides by 60:

x = 2400/60

x = 40

Therefore, 24 is 60% of 40.

To verify this, we can calculate 60% of 40:

60% of 40 = (60/100) (40) = 0.6(40) = 24

So, indeed, 24 is 60% of 40, and our solution is consistent.

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Answer:

<5

Step-by-step explanation:

Supplementary angles form a straight line

<DEC is angle 4

Angle 4 and angle 5 make a straight line so they are supplementary

Answer:

d

Step-by-step explanation:

The triangles are similar, thus the ratios of corresponding sides are equal, that is

= = ( cross-  multiply )

5(2x + 1) = 8(x + 4) ← distribute parenthesis on both sides )

10x + 5 = 8x + 32 ( subtract 8x from both sides )

2x + 5 = 32 ( subtract 5 from both sides )

2x = 27 ( divide both sides by 2 )

x = 13.5 → d

Answer with Step-by-step explanation:

For the Pythagorean triples, the square of largest number must be equal to the sum of squares of remaining two numbers.

1,2,5

5²=25

1²+2²=5

25≠5

Hence, it is not a Pythagorean triple.

6,8,14

14²=196

6²+8²=100

100≠196

Hence, it is not a Pythagorean triple.

8,15,17

17²=289

8²+15²=289

Hence, it is a Pythagorean triple

10,24,26

26²=676

10²+24²=676

Hence, it is Pythagorean triple

15,20,30

30²=900

15²+20²=625

900≠625

Hence, it is not a Pythagorean triple

28,45,53

53²=2809

28²+45²=2809

Hence, it is a Pythagorean triple

8,15,17 is one, 10,24,26 is one, and 28,45,53 is one