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MakcuM [25]
3 years ago
9

Doug drives without backtracking from his apartment to a campsite in another state. After two hours, he is halfway to his destin

ation. After four hours, he is two thirds of the way there. Which of the following could represent the fraction of his travel distance he has covered after three hours?
a) 2/5
b) 3/5
c) 3/4
d) 4/5
Mathematics
1 answer:
ki77a [65]3 years ago
6 0
For this item, after two hours, he is able to cover 0.5 of the distance and after four hours, he is able to 0.67 of the distance. The fraction of the distance he is able to cover after 3 hours should be greater than 0.5 but lesser than 0.67. Thus, the answer to this item is letter B which is equal to 0.6. 
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What is the length of JM in the given figure?
umka21 [38]

Answer:  B. 30

<u>Step-by-step explanation:</u>

When given a secant and a tangent, the formula is:

exterior of secant × secant = tangent²

                     KM   ×    JK     =    LK²

                      10   ×  (JM + 10) = 20²

                            10JM + 100 = 400

                                     10JM = 300

                                         JM =  30

7 0
3 years ago
Integers that are not whole numbers are
sammy [17]
Negative numbers. Remember that whole numbers are 0 and positive numbers.
4 0
3 years ago
What is the percentage of cacao in hot chocolate which is made of 480 grams of milk and 20 grams of cacao?
galina1969 [7]

Given that the hot chocolate is made of 480 grams of milk and 20 grams of cacao.

We need to determine the percentage of cacao in hot chocolate.

<u>The percentage of cacao:</u>

The total grams of hot chocolate can be determined by adding the total grams of milk and the total grams of cacao.

Total grams of hot chocolate = Grams of Milk + Grams of cacao

Total grams of hot chocolate = 480 + 20 = 500 grams.

Thus, the total grams of hot chocolate is 500 grams.

Now, we shall find the percentage of cacao.

The percentage of cacao is given by

\frac{100}{500}\times 20

Simplifying, the values, we get,

\frac{2000}{500}=4\%

Thus, the percentage of cacao is 4%

6 0
3 years ago
Stacy started a banking account with $150 and is spending $7 per day on lunch. This situation models which type of function?
Lubov Fominskaja [6]

Answer:

Linear

Step-by-step explanation:

She is spending the same amount per day, so it is linear

8 0
2 years ago
Austin is 69 years younger than Jamie. 3 years ago, Jamie's age was 4 times Austin's age. How old is Austin now?
matrenka [14]

Answer: 26 years old

Step-by-step explanation:

  1. Create an equation with Austin as x and Jamie as x+69 (I just like workin with addition signs more)= 4(x-3)= x+69-3
  2. Simplify the equations --> 4x-12=x+66
  3. Solve the equation: 3x-12=66 --> 3x=78 --> x=26

This is the same as other age problems, just with the extra step of distributing the multiplication.

4 0
2 years ago
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