Mathematics, 21.01.2021 14:00 hockeystar0033

Kelly spends 5 hours each week playing softball and 4 hours each week practicing her violin. Write the ratio of hours spent practicing violin to hours spent playing softball three different ways.

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Answer from: Svetakotok

Given:

Kelly spends 5 hours each week playing softball and 4 hours each week practicing her violin.

To find:

The ratio of hours spent practicing violin to hours spent playing softball three different ways.

Solution:

We have,

Time spend on Softball = 5 hours

Time spend on Violin = 4 hours

The ratio to hours spent practicing violin to hours spent playing softball is

$\text{Required ratio}=\dfrac{\text{Time spend on Violin}}{\text{Time spend on Softball}}$

$\text{Required ratio}=\dfrac{4}{5}$

It can be written as

$\text{Required ratio}=4:5$

$\text{Required ratio}=4\text{ to }5$

Therefore, the ratio of hours spent practicing violin to hours spent playing softball three different ways are $\dfrac{4}{5}, 4:5$ and 4 to 5.

Answer from: Quest

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.