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3 years ago

At Home Depot, Johnny bought 3 rose bushes and 7 flats of petunias for a total of

Mathematics

1 answer:

vitfil [10]3 years ago

4 0

Answer:

Step-by-step explanation:

At Home Depot, Johnny bought 3 rose bushes and 7 flats of petunias for a total of $114.75.

Let x = rose bushes

Let y = petunias

This means;

3x + 7y = 114.75 ..... (i)

Rosie bought 2 rose bushes and 6 flats of petunias for a total of $89.50.

2x + 6y = 89.50 ..... (ii)

How much does a rose bush cost? How much does a flat of petunias cost?

Multiply eqn (i) by 2 and eqn (ii) by 3.

This results too;

6x + 14y = 229.5 .... (iii)

6x + 18y = 268.5 .....(iv)

Subtract eqn (iii) from eqn (iv)

This results to;

4y = 39

y = 39 / 4 = $9.75

Subt the vale of y in eqn ii

2x = 89.50 - 6y

x = (89.50 - 6y) / 2

x = (89.50 - 6(39 / 4)) / 2

x = 31 / 2 = $15.5

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3 years ago

Allen runs at an average rate of 9 mi/hr and walks at a average rate of 3 mi/hr. Write an equation in standard form to relate th

den301095 [7]

Answer:

The equation would be $30=12+9x$ .

Allen will Run for 2 hours.

Step-by-step explanation:

Given:

Total Distance traveled = 30 miles

Average rate of walking = 3 mi/hr

Average rate of running = 9 mi/hr

Time for walking = 4 hours

W need to find the time for running.

Solution:

Let Number of hrs required for running be 'x'.

Total Distance traveled is equal Distance Traveled in walking plus Distance traveled in Running

But Distance is equal Rate multiplied by Time.

Framing in equation form we get;

Hence Total Distance Traveled = Rate of walking × Hours of walking + Rate of Running × Hours of running.

Substituting the values we get;

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Hence The equation would be $30=12+9x$

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