What can you conclude about the tangent lines and the diameter of a circle?

You are running a fuel economy study. One of the cars you find is blue. It can travel 28 2/5 miles on 1 1/4 gallons of gasoline.

Harrizon [31]

Answer:

Blue car: 30.5 / 1.25 =24.4 miles per gallon

Red car: 25.6/0.80 =32 miles per gallon

You can easily see that the Red car travel farther on 1 gallon of gasoline.

5 0

3 years ago

Do you know the answer toPart A: 25% of 50 = Part B: 25% of 60 = Part C: 50% of 60 = Part D: 75% of 60 = Part E: 75% of 30 = Par

Verdich [7]

Answer:

Part A: 25% of 50 = 12.5

Part B: 25% of 60 = 15

Part C: 50% of 60 = 30

Part D: 75% of 60 = 45

Part E: 75% of 30 = 22.5

Part F: 100% of 22.5 = 22.5

Part G: 10% of 22.5 = 2.25

Part H: 50% of 45.7 = 22.85

Step-by-step explanation:

To find - Do you know the answer to

Part A: 25% of 50 =

Part B: 25% of 60 =

Part C: 50% of 60 =

Part D: 75% of 60 =

Part E: 75% of 30 =

Part F: 100% of 22.5 =

Part G: 10% of 22.5 =

Part H: 50% of 45.7 =

Proof -

Part A :

25% of 50 = $\frac{25}{100} *50$ = $\frac{1}{4}*50$ = 12.5

⇒25% of 50 = 12.5

Part B :

25% of 60 = $\frac{25}{100} *60$ = $\frac{1}{4}*60$ = 15

⇒25% of 60 = 15

Part C :

50% of 60 = $\frac{50}{100} *60$ = $\frac{1}{2}*60$ = 30

⇒50% of 60 = 30

Part D :

75% of 60 = $\frac{75}{100} *60$ = $\frac{75}{10}*6$ = 45

⇒75% of 60 = 45

Part E :

75% of 30 = $\frac{75}{100} *30$ = $\frac{75}{10}*3$ = 22.5

⇒75% of 30 = 22.5

Part F :

100% of 22.5 = $\frac{100}{100} *22.5$ = 22.5

⇒ 100% of 22.5 = 22.5

Part G :

10% of 22.5 = $\frac{10}{100} *22.5$ = 2.25

⇒ 10% of 22.5 = 2.25

Part H :

50% of 45.7 = $\frac{50}{100} *45.7$ = $\frac{1}{2}*45.7$ = 22.85

⇒50% of 45.7 = 22.85

6 0

2 years ago

4) Members of the school band are buying bouquets of flowers to sell at the fundraiser.

horsena [70]

Answer: Roses= 75, Sunflowers= 45

Step-by-step explanation:

Add the ratios- 5 + 3 = 8

Divide the total by the sum = 120 ÷ 8 = 15

Multiply the ratios- 5 x 15 = 75 and 5 x 3 = 45

∴ 5:3 = 75 , 45

7 0

3 years ago

Consider a deck of cards:

Ganezh [65]

Ohhhh nasty ! What a delightful little problem !

The first card can be any one of the 52 in the deck. For each one ...
The second card can be any one of the 39 in the other 3 suits. For each one ...
The third card can be any one of the 26 in the other 2 suits. For each one ...
The fourth card can be any one of the 13 in the last suit.

Total possible ways to draw them = (52 x 39 x 26 x 13) = 685,464 ways.

But wait ! That's not the answer yet.

Once you have the 4 cards in your hand, you can arrange them
in (4 x 3 x 2 x 1) = 24 different arrangements. That tells you that
the same hand could have been drawn in 24 different ways. So
the number of different 4-card hands is only ...

(685,464) / (24) = <em>28,561 hands</em>.

I love it !

3 0

3 years ago

A road map of the state of Texas has a scale of 0.5 miles in =50 miles. If the distance between two points in the state is 600 m

tamaranim1 [39]

Answer:

6 miles

Step-by-step explanation:

Let's set up a ratio:

$\frac{0.5}{50}=\frac{x}{600}$

We can use "cross multiplication" to solve for x

Cross multiplication is multiplying the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction.

$0.5*600=50x$

$300=50x$

Divide both sides by 50 to isolate x

$x=6$

8 0

2 years ago