MATHEMATICS MIDDLE SCHOOL

(Steps are in picture)A scuba diver was 80 feet below sea level and swam up at a rate of 4 feet per minute. The two solutions show how long it took the scuba diver to reach an elevation of 20 feet below sea level. Lydia and Max used the methods shown below to find the time it took the diver to reach the new elevation.

Which step or steps of Lydia’s solution is the same as Max’s step of determining the change in the elevation?
A. Step 1, writing the equation
B. Steps 2 and 3, adding 80 to both sides to get 60
C. Steps 4 and 5, dividing both sides by 4 to get 15
D. Step 6, writing the answer

Answers

Answer 1

Answer:

Answer: The answer is B. Steps two and 3, adding 80 to both sides tp get 60

Hope this helped :)

Answer 2

Answer:

Answer:

Step-by-step explanation:

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You are adding 3 2/3 + 2 2/3 using fraction strips.Explain how you rename the fraction part of the problem.
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A cone and a cylinder have congruent height and bases. The volume of the cone is 18. What is the volume of the cylinder? Explain please and thank you!

Answers

The volume of a cone is given by the formula: V = 1/3 * B * h where B is the area of the base and h is the height of the cone.

The volume of a cylinder is given by the formula V = B*h where B is the area of the base and h is the height of the cylinder.

1/3 Bh = Bh because the bases and heights of the two solids are the same.

The volume of the cylinder is 3 times the volume of the cone.
3 * 18 = 54 which is the volume of the cylinder.

Correct Answer:

The cones are not congruent because one cone is oblique, which makes the length of the slant heights different. Having the same radius, height, and volume does not make the cones congruent when the corresponding slant heights are not equal. Congruent cones must have congruent corresponding slant heights, with all other corresponding parts being congruent.

A new car typically loses 20% of its initial value during the first year. During the second year, the car loses 15% of its value after the first year. Find the value of the car($18,000) after the first year and after the second year.

Answers

after the first year it is going to be 14,400
after the second year it will be 12,240

IS 71 OVER 20 SIMPLEST FORM?IF NOT WHATS THE ANSWER?

Answers

71/20 is not in simplest form because you need to change it into a mixed number by dividing 71 and 20 and putting the remainder over 20.

no, simplest for would be 3 and eleven twentieths

Ginny has two vegetable gardens. in the first garden, Ginny grows tomatoes every 2 years. in the second garden, Ginny grows tomatoes every 3 years.This year, Ginny grows tomatoes in both gardens. in how many years will she grow tomatoes in both gardens again?

Answers

6 years they will both grow:

You can simply multiple the 2 numbers together.
2(3)=6
2 Years tomatoes grow 3 years tomatoes grow.
2 Years tomatoes grow 3 years tomatoes grow.
2 Years tomatoes grow.

she'll grow tomatoes in both gardens in 6 years
3x2=6

A farmer wants to fence in a section of land for a horse pasture. Fencing costs $31 per yard. How much will it cost to fence the pasture?

Answers

Answer:$13671

Step-by-step explanation:

The land the farmer will fence is equal to the sum of the lengths of all the sides of the land=330+330+330+189+144=1323 ft.

3 ft= 1 yard.

1 323 ft = 1323÷3=441 yards

Cost of fencing per yard is $31.

cost of fencing 441 yards=441x31=$13671.

330+330+330+144+189= 1323 ft

1323/3 = 441 yards

441yrds times $31 = $13671

4-50:The graph at the right contains the lines for y=x+2 and y=2x-1
a.) Using the graph,what is the solution to this system?
b.) Solve the system algebraically to confirm your answer to part (a).

Answers

a.) By using the graph, the solution to this system is (3, 5).

b.) Solving the system algebraically gives the same answer in part (a).

How to graphically solve this system of equations?

In order to graphically determine the solution for this system of linear equations on a coordinate plane, we would make use of an online graphing calculator to plot the given system of linear equations while taking note of the point of intersection;

y=x+2 ......equation 1.

y=2x-1 ......equation 2.

Part a.

Based on the graph shown, we can logically deduce that the solution for this system is represented by the ordered pair (3, 5) in quadrant I.

Part b.

By using the substitution method to substitute for y, we would set the two equations equal to one another;

x + 2 = 2x - 1

2x - x = 1 + 2

x = 3

y = x + 2

y = 3 + 2

y = 5.