MATHEMATICS HIGH SCHOOL

A cab charges $1.75 for the first mile and $0.25 for each additional mile. Write and solve an inequality to determine how many miles Eddie can travel if he has $15 to spend.$1.75 + $0.25x ≤ $15; x ≤ 53 miles
$1.75 + $0.25x ≥ $15; x ≥ 53 miles
$0.25 + $1.75x ≤ $15; x ≤ 8 miles
$0.25 + $1.75x ≥ $15; x ≥ 8 miles

Answers

Answer 1
Answer: a. 1.75+0.25x<15;x,53miles

sorry, i could not put in the or equal to signs
                       

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Contemporary American building bricks are rectangular blocks with the standard dimensions of about 5.7 cm by 9.5 cm by 20.3 cm.What is the volume to the nearest tenth of a unit.

1. Find the area. *
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12 ft
6 ft
16 ft

Answers

What am I supposed to find the area of??

Answer:136ft

Step-by-step explanation:

2. In a certain year, solar and wind energy generation totaled 1037 Trillion Btu’s. Wind generated 56 Trillion Btu's more than eight times that generated by solar energy. How much was generated by each source?

Answers

The sum of solar energy can assumed as 'x', so it is easy to conclude that the sum of wind energy is '8x+56'. From the above assumption, we can easily get that 'x+8x+56=1037', to solve this equation and get tha

The probability that Emma has heart disease is 0.6. She decides to take a test for the disease that is 80% accurate. What is the probability that Emma has heart disease and the test predicts heart disease?

Answers

Answer:

The probability that Emma has heart disease and the test predicts heart disease is:

                                48%

Step-by-step explanation:

Let A denote the event that Emma has a heart disease.

and B denote the event that the test predicts accurate.

Hence, A∩B denote the event that Emma has heart disease and the test predicts heart disease.

From the given equation we have:

             P(A)=0.6

and P(B)=80%=0.8

As we know that event A and event B are independent.

Hence, we have:

P(A∩B)=P(A)×P(B)

⇒  P(A∩B)=0.6×0.8

⇒  P(A∩B)=0.48=48%

                Hence, the probability is:

                           48%
0.6 x 0.8 = 12/25 The probability that Emma has heart disease and the test predicts it is 48%

If a company plans to sell 48,000 units of product but sells 60,000, the most appropriate comparison of the cost data associated with the sales will be by a budget based on? Select one: a. the original planned level of activity. b. 54,000 units of activity. c. 60,000 units of activity. d. 48,000 units of activity.

Answers

Answer:

C. 60,000 units of activity.

Step-by-step explanation:

A student heats 100 g of aluminum to 60°C. He places it in 100 g of water at 20°C. Over time, what will most likely happen?a. The water's temperature will increase slightly, and the metal's temperature will decrease a lot.

b. The water's temperature will increase a lot, and the metal's temperature will decrease slightly.

c. The water's temperature will decrease slightly, and the metal's temperature will increase a lot.

d. The water's temperature will increase by about the same amount as the metal's temperature decreases.

Answers

What is relevant here is that both water and metal have the same weight - if they had a different weight, one of them would change the temperature more than the other. (the one with more weight would change less).
But in the present case:

d. The water's temperature will increase by about the same amount as the metal's temperature decreases.


Answer:

Option A

Step-by-step explanation:

Given : A student heats 100 g of aluminum to 60°C. He places it in 100 g of water at 20°C.

To find : Over time, what will most likely happen?

Solution :

We know,

Heat will flow out of the warm aluminum and into the cool water.

The final "equilibrium" temperature will be a little less than 40°C (the average of 60° and 20°), because the specific heat of the aluminum is about 8% less than the specific heat of the water.

So when some quantity of heat flows from the aluminum to the water, the temperature of the water rises a little less than the temperature of the aluminum falls.

Therefore, Option A is correct.

The water's temperature will increase slightly, and the metal's temperature will decrease a lot.

A cube-shaped box has a volume of 125 cubic inches. If the box is packed full of cubes with edge lengths of 1 inch, how many cubes can fit along one face of the box?

Answers

25 cubes can fit along one face of the box.

What is the volume of the cube?

The volume of a cube is equal to the product of the length, width, and height of a cube.

Given that a  cube-shaped box has a volume of 125 cubic inches

If the box is packed full of cubes with edge lengths of 1 inch,

So the volume of each cube is 1 cubic inch because the length and width, and height of each cube are 1 so 1 inch × 1 inch × 1 inch= 1 cubic inch

Since the box has a volume of 125 cubic inches, then exactly 125 cubes can fit in the box.

125 x 1 inch³ = 125 inch³

Each side has a length of 4 cubes. 5x5x5 =125.

One side would have an area of 16 because there are 5 across and 5 in height.

⇒ 5×5×1 = 25 cubic squares.

So the number that can fit along one side of the box would be 25

Hence, 25 cubes can fit along one face of the box.

Learn more about the cube here:

brainly.com/question/15420947

#SPJ2

Answer:25

Step-by-step explanation:

Square cube of 125 is 5. If you want 1 side it’s gonna be 5 to the second power which is 25
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