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fomenos
3 years ago
10

It took Max 3.5 hours to cover a certain route walking at a rate of 2.4 mph. How long would it take Max to cover the same route

walking 3 mph?
Mathematics
1 answer:
andrew11 [14]3 years ago
7 0
It would take 2.8 hours ((3.5 hours x 2.4 Mph)/3Mph) hours for Max to cover the same route walking 3 mph. This problem can be solved by using the velocity equation which is the velocity is equal a change in position divided by a change of time. The amount of time can be found assuming that Max walks in a constant velocity from the starting point until the finish point of 8.4 miles distance (3.5 hours x 2.4 mph)<span>.</span>
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Can anyone please help me with this? I don't know how to do it.
ycow [4]

Answer:


Step-by-step explanation:

The easiest way to fill out the graph is to find the slope.

The slope is y = 2x + 1.

Insert the x values of the graph for x in the equation to find y.

y = 2(-6) + 1 = -12 + 1 = -11. (-6, -11).

y = 2(-2) + 1 = -4 + 1= -3. (-2, -3).

Then, for finding x, just insert y.

1 = 2x + 1. Subtract 1 from both sides to isolate x.

0 = 2x. x = 0. (0, 1).

y = 2(2) + 1 = 4 + 1 = 5. (2, 5)

3 = 2x + 1. Subtract 1 from both sides.

2 = 2x. x = 1. (1, 3).

The slope of this function is 2x. The y-intercept is 1. The x-intercept is -2.

4 0
3 years ago
Three people invest at a ratio of 1:4:7. If the partnership is worth $636,000, what did each person invest?
olga_2 [115]

Answer:

See the detailed answers below

Step-by-step explanation:

Given data

Ratio=  1:4:7

combined ratio= 1+4+7= 12

Total amount= $636,000

Apply the part to all method

The first person will take

1/12= x/ 636,000

cross multiply

12x= 636,000*1

x= 636,000/12

x= 53000

The second person will take

4/12= x/ 636,000

cross multiply

12x= 636,000*4

x= 2544000/12

x= 212000

The third person will take

7/12= x/ 636,000

cross multiply

12x= 636,000*7

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6 0
3 years ago
Suppose that $2000 is invested at a rate of 4%, compounded semiannually. Assuming that no withdrawals are made, find the total a
creativ13 [48]

Answer:

Step-by-step explanation:

A = P(1+r/n)^ nt

A = 2000(1+.04/2)^(5*2)

A = 2000(1.02)^{10} = $2437.99

5 0
3 years ago
the local farm sell a 4 pound basket of apples for 5.60 each apple weighs 4 ounces. what is the price per apples
valina [46]
Because there are 16 ounces in a pound, we can multiply 16 by 4 to get 64, there are 64 ounces of apples which is also the same as 4 pounds of apples. If 64 ounces of apples equals $5.60, and each apple is 4 ounces, we have to also divide 64 by 4 to find the number of apples. 64 divided by 4 is 16, so 16 apples for $5.60. To get the price PER apple, or for one apple, we have divide $5.60 by 16, which will give us $0.35, or $.35 per apple, which is actually a good price.
4 0
3 years ago
A point H is 20m away from the foot of a tower on the same horizontal ground. From the point H, the angle of elevation of the po
astra-53 [7]

Answer:

a. See Attachment 1

b. PT = 12.3\ m

c. HT = 31.1\ m

d. OH = 28.4\ m

Step-by-step explanation:

Calculating PT

To calculate PT, we need to get distance OT and OP

Calculating OT;

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

tan50 = \frac{OT}{20}

Multiply both sides by 20

20 * tan50 = \frac{OT}{20} * 20

20 * tan50 = OT

20 * 1.1918 = OT

23.836  = OT

OT = 23.836

Calculating OP;

We have to consider angle 30, distance OH and distance OP

The relationship between these parameters is;

tan30 = \frac{OP}{20}

Multiply both sides by 20

20 * tan30 = \frac{OP}{20} * 20

20 * tan30 = OP

20 * 0.5774= OP

11.548 = OP

OP = 11.548

PT = OT - OP

PT = 23.836 - 11.548

PT = 12.288

PT = 12.3\ m (Approximated)

--------------------------------------------------------

Calculating the distance between H and the top of the tower

This is represented by HT

HT can be calculated using Pythagoras theorem

HT^2 = OT^2 + OH^2

Substitute 20 for OH and OT = 23.836

HT^2 = 20^2 + 23.836^2

HT^2 = 400 + 568.154896

HT^2 = 968.154896

Take Square Root of both sides

HT = \sqrt{968.154896}

HT = 31.1\ m <em>(Approximated)</em>

--------------------------------------------------------

Calculating the position of H

This is represented by OH

See Attachment 2

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

tan50 = \frac{OH}{OT}

Multiply both sides by OT

OT * tan50 = \frac{OH}{OT} * OT

OT * tan50 = {OH

OT * 1.1918 = OH

Substitute OT = 23.836

23.836 * 1.1918 = OH

28.4= OH

OH = 28.4\ m<em> (Approximated)</em>

5 0
3 years ago
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