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2 years ago

Brady creates the graph below to keep track of the approximate height of the grass on his

Mathematics

1 answer:

IgorC [24]2 years ago

7 0

Answer:

<h2>Time is the independent variable and Height of the Grass is the dependent variable.</h2>

Step-by-step explanation:

The graph is about the height of the grass thourgh time, that means Brady is analysing how long it takes to the grass to grow.

It's important to know that time is a variable which doesn't depends on any other variabel, that is, it's an independent variable all the time.

Therefore, Time is the independent variable and Height of the Grass is the dependent variable.

This is just simple deduction, because the grass grows through time, it doesn't happen in the opposite way, time doesn't change accoring to the height of the grass.

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In a cash drawer there is $125 in $5 and $10 bills. The number of $10 bills is twice the number of $5 bills. How many of each ty

WINSTONCH [101]

Let us take number of $5 bills = x and

number of $10 bills = y.

Give that "number of $10 bills is twice the number of $5 bills".

So, y is twice of x,

We can setup an equation.

y= 2x ............................... equation(1)

Total value of all bills = $125.

We can setup another equation,

5*(number of $5 bills) + 10*(number of $10 bills) =125.

5(x) +10(y) = 125 ................................... equation(2)

Plugging y=2x in equation(2), we get

5(x) +10(2x) = 125 .

5x+20x = 125.

Adding like terms

25x = 125

Dividing both sides by 25.

25x /25 = 125/25

x= 5.

Plugging x=5 in first equation, we get

y= 2(5) = 10.

Therefore, number of number of $5 bills=5 bills and number of $10 bills = 10 bills.

5 0

2 years ago

A gallon of paint covers 400 square feet. How many square feet will 2 3/8 gallons of paint cover?

Black_prince [1.1K]

1 gal = 400 ft²
2 3/8 gal = ? ft²

to solve, use similar ratios with units gal/ft² and compare

(1)/(400) = (2 3/8)/(x)

*multiply both sides by (x) and divide both sides by (1)/(400), you get:

x = (400)*(2 3/8)/(1) = 400*(2 3/8) = 400*2 + 400*3/8 = 800 + 150 = 950 ft²

<u><em>answer is 950 ft²</em></u>

8 0

2 years ago

Adrian ran from his house to the park at a speed of 5 meters per second. He ran back from the park to his house at a speed of 6

denpristay [2]

Answer:time taken to run from his house to the park is 12 minutes

Step-by-step explanation:

Let x represent the distance between his house and the park.

The speed at which Adrian ran from his house to the park is 5 meters per second.

Distance = speed × time

Time = distance/speed

Therefore, time taken to run from his house to the park would be

Time = x/5

The speed at which he ran back from the park to his house is 6 meters per second.

Time taken to run back from the park to his house would be

Time = x/6

The total time taken to run the whole journey was 22 minutes. Converting to seconds, it becomes 22× 60 = 1320 seconds. Therefore,

x/5 + x/6 = 1320

Multiplying through by 30, it becomes

6x + 5x = 39600

11x = 39600

x = 39600/11 = 3600 meters

Therefore, time taken to run from his house to the park would be

x/5 = 3600/5 = 720 seconds

Converting to minutes, it becomes

720/60 = 12 minutes

7 0

2 years ago

What expression represents the value of v?

HACTEHA [7]

Answer

I think it is 2 or 3

Hope this helps :/

4 0

2 years ago

Read 2 more answers

Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the followin

svp [43]

Answer:

a) 1+2+3+4+...+396+397+398+399=79800

b) 1+2+3+4+...+546+547+548+549=150975

c) 2+4+6+8+...+72+74+76+78=1560

Step-by-step explanation:

We know that a summation formula for the first n natural numbers:

1+2+3+...+(n-2)+(n-1)+n=\frac{n(n+1)}{2}

We use the formula, we get

a) 1+2+3+4+...+396+397+398+399=\frac{399·(399+1)}{2}=\frac{399· 400}{2}=399· 200=79800

b) 1+2+3+4+...+546+547+548+549=\frac{549·(549+1)}{2}=\frac{549· 550}{2}=549· 275=150975

c)2+4+6+8+...+72+74+76+78=S / ( :2)

1+2+3+4+...+36+37+38+39=S/2

\frac{39·(39+1)}{2}=S/2

\frac{39·40}{2}=S/2

39·40=S

1560=S

Therefore, we get

2+4+6+8+...+72+74+76+78=1560

5 0

2 years ago