Cody hiked at an average speed of 1 mile per hour for 5 hours on Saturday. He hiked an average speed of 2 miles per hour for 3 hours on Sunday.Which explanation correctly tells how to calculate the total number of miles that Cody hiked in two days?

A.Step 1: Multiply 1 × 5.
Step 2: Multiply 2 × 3.
Step 3: Add the two products.

B.Step 1: Multiply 1 × 5.
Step 2: Multiply 2 × 3.
Step 3: Subtract the two products.


C.Step 1: Divide 1 ÷ 5.
Step 2: Divide 2 ÷ 3.
Step 3: Add the two quotients.

D.Step 1: Divide 1 ÷ 5.
Step 2: Divide 2 ÷ 3.
Step 3: Subtract the two quotients.

Answers

Answer 1
Answer:

Answer:

  A. Step 1: Multiply 1 × 5.

  Step 2: Multiply 2 × 3.

  Step 3: Add the two products.

Step-by-step explanation:

The total number of miles hiked will be the sum of the numbers of miles hiked each day. Each day, the number of miles hiked can be computed by multiplying time by speed:

  distance = speed × time

So, the total number of miles hiked is ...

  total miles = miles on day 1 + miles on day 2 . . . . . (sum, not a difference—eliminates choice B)

  total miles = (speed on day 1)×(time on day 1) + (speed on day 2)×(time on day 2) . . . . . (sum of products—eliminates choices C and D)

Choice A correctly describes the computation.


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The distance a vehicle travels can be found by using the formula d = rt, where d is the total distance traveled, r is the rate of speed, and t is the amount of time spent traveling. Grace drives her truck a distance of 80 miles at a steady speed of 50 miles per hour. To the nearest hour, how many hours does she spend driving?

Answers

Answer:

She spends 2 hours driving.

Step-by-step explanation:

The formula given is:

d = rt

In which d is the distance traveled, r is the rate of speed, and t is the amount of time spent traveling.

Grace drives her truck a distance of 80 miles at a steady speed of 50 miles per hour.

This means that d = 80, r = 50

To the nearest hour, how many hours does she spend driving?

We have to find t. So

d = rt

50t = 80

t = (80)/(50)

t = 1.6

Rounding to the nearest hour

She spends 2 hours driving.

A pancake recipe calls for 1 cup of flour. Derek has already used 1/4 cup of flour. How many more cups of flour does Derek need to add?

Answers

Answer:

Derek needs to add 3/4 cups of flour.

Step-by-step explanation:

If Derek has already used 1/4 cup of flour, he needs 3 more cups of flour to get to 1 full cup of flour.

Answer:

Step-by-step explanation:A batch of cookies requires 2 1/4 cup of flour and 1 egg. You have in your kitchen 8 cups of flour and a half dozen eggs. a) How many batches of cookies

-4= -(x-8)
negative four equals negative (parentheses x minus 8 parentheses)

Answers

-4=-x-8
+4. +4
—————
0=-x-4
x=-4

Complete the standard form of the equation of a hyperbola that has vertices at (-10, -15) and (70, -15) and one of its foci at (-11, -15).

Answers

Answer:

((x-30)^(2))/(40^(2)) - ((y+15)^(2))/(3^(2)) = 1

Step-by-step explanation:

The equation of the horizontal hyperbola in standard form is:

((x-k)^(2))/(a^(2)) - ((y-k)^(2))/(b^(2)) = 1

The position of its center is:

C(x,y) = \left((-10 + 70)/(2), -15 \right)

C(x, y) = (30,-15)

The values for c and a are respectively:

a = 70 - 30

a = 40

c = 30 - (-11)

c = 41

The remaining variable is computed from the following Pythagorean identity:

c ^(2) = a^(2) + b^(2)

b = \sqrt{c^(2)-a^(2)}

b = \sqrt{41^(2)-40^(2)}

b = 3

Now, the equation of the hyperbola is:

((x-30)^(2))/(40^(2)) - ((y+15)^(2))/(3^(2)) = 1

Answer:

The above answer is correct but the 3 should be a 9

Step-by-step explanation:

Plato

Determine the area of a cone that its volume is 238 cubic centimeters and the height is 74 centimeters.

Answers

Answer:

1.75 cm

Step-by-step explanation:

The volume of a cone is 238  with height 74. To find the radius, substitute and solve for r.

[tex]V= (1)/(3)\pi r^2 h\n 238= (1)/(3) \pi (r^2)(74) \n 238*3= \pi (r^2)(74)\n (714)/(74\pi) = r^2\n\sqrt{(714)/(232.36) } =r\n 1.75=r[/tex].

A summer camp wants to hire counselors aides to fill its staffing needs at minimum cost

Answers

Answer:

8 counselors and 12 aids

Step-by-step explanation:

minimum number of staff to run camp = 20

Ratio of counselors to aids to work together = 2:3

To get the multiply factor = 20 / (2 counselors + 3 aids) = 20 / 5 =4

minimum number of counselors needed = 4 x 2 = 8 counselors

minimum number of aids needed = 4 x 3 = 12 aids