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3 years ago

8

Tim and Tom are trying to earn money to buy a new game system over a 3-month period. Tim saved $45.56 each month. If they need a

total of $214.50 to buy the game system, how much does Tom need to earn each of the 3 months in order to buy the game system?

1 answer:

AlekseyPX3 years ago

5 0

Tom needs to earn $77.82 in order to buy the game system.

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A landscaper needs 348 pounds of plant food. He has 114 pounds in his truck, and another 46 pound at his shop.

andrew-mc [135]

Answer:

$\frac{19}{12}\ pounds$

or

$1\frac{7}{12}\ pounds$

Step-by-step explanation:

<u><em>The correct question is </em></u>

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

so

The linear equation that represent this problem is

$x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}$

Convert mixed number to an improper fractions

$1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}$

$3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}$

Substitute in the expression above

$x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}$

solve for x

Multiply by (4*6) both sides to remove the fractions

$24x+30+16=84$

Combine like terms left side

$24x+46=84$

subtract 46 both sides

$24x=84-46$

$24x=38$

Divide by 24 both sides

$x=\frac{38}{24}\ pounds$

simplify

$x=\frac{19}{12}\ pounds$

Convert to mixed number

$\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds$

7 0

3 years ago

(a) Solve 7( k - 3 ) = 3k - 5

babymother [125]

A) $7(k-3)=3k-5\\ 7k-21=3k-5\\ 7k-3k=-5+21\\ 4k=16\\ k=\frac { 16 }{ 4 } \\ k=4$

b) $(2x+3)(x-8)\\ 2{ x }^{ 2 }-16x+3x-24\\ 2{ x }^{ 2 }-13x-24$

c) $\frac { 7-3f }{ 4 } =2\\ 7-3f=4\cdot 2\\ 7-3f=8\\ -3f=8-7\\ -3f=1\\ f=-\frac { 1 }{ 3 }$

7 0

4 years ago

Read 2 more answers

What is 2/16 simplified

Arturiano [62]

1/8 is the correct response

3 0

3 years ago

Read 2 more answers

Marie has a small copy of rene magritte's famous painting, the schoolmaster. Her copy has dimensions 2 inches by 1.5 inches. The

prisoha [69]

First, lets convert our dimensions into cm.

2*2.54 = 5.08 cm.
1.5*2.54 = 3.81 cm.

Now, lets multiply by for the get the dimensions of the original painting in inches.

5.08*40 = 203.2 cm
3.81*40 = 152.4 cm

Finally, lets divide our new dimensions.

203.2/2.54 = 80 in.
152.4/2.54 = 60 in.

The dimensions of the original painting is 80 in. by 60 in.

8 0

3 years ago

I need help asap im not good at math

WARRIOR [948]

I know what your learning, and I'm learning it too, it's just you are being taught a different way so there for I cannot help with this question. so sorry..

8 0

3 years ago