Ask question

Ask question

All categories

3 years ago

6

james and his sister save money for a trip to the water park. james has saved half the amount of money as his sister has saved.

If they both save 30 more, james will have saved 3/4 as much as her sister. What equation could you use to find how much james has saved

1 answer:

valina [46]3 years ago

4 0

Answer:

money saved by james = 30/2 = 15

equation used

money with James = 3/4 (money with sister)

x/2 + 30 =3/4( x + 30 )

Step-by-step explanation:

Let money saved by sister be x

given

James has saved half the amount of money as his sister has saved.

Money saved by James = x/2

Total money saved by both of them = x + x/2

If they both save 30 more

Then

money with sister = x + 30

money with james = x/2 + 30

given that If they both save 30 more, james will have saved 3/4 as much as her sister

thus,

money with james = 3/4 (money with sister)

x/2 + 30 =3/4( x + 30 )

=> 4(x+30*2) /2 = 3x+90

=> 2x + 120 = 3x + 90

=> 3x-2x = 120-90

=> x = 30

Thus,

money saved by james = 30/2 = 15

equation used

money with james = 3/4 (money with sister)

x/2 + 30 =3/4( x + 30 )

You might be interested in

1) Graph the following lines and using the graph determine several values of x for which the graph is positive (negative):

Aleksandr [31]

1) $y=-0.5x-2$

The graph of the above equation is attached in the attachment below.

For all the values from negative infinity to -4, the function is positive.

X ∈ (-∞,-4]

2) $y=-1.5x+3$

To find the x- intercept, plug y =0

$0=-1.5x+3$

$1.5x=3$

$x=2$

x intercept = (2,0)

To find the y- intercept, plug x=0

$y=-1.5(0)+3$

$y=3$

Y- intercept = ( 0,3)

3) $y=13-x$

Y- intercept = (0,13)

x- intercept = (13,0)

Area of triangle = $\frac{bh}{2}$

Area of triangle = $\frac{13\times13}{2}$

Area = $\frac{169}{2}$ sq unit.

4) The graphs of $y=-2x+7$ and $y=0.5x-5.5$ is attached in the attachment below.

The intersection point is ( 5,-3)

5) A = (-3,0)

B = (4,5)

C = (0,-4)

Slope of AB = $\frac{5-0)}{4-(-3)} =\frac{5}{7}$

Slope intercept of line $y=mx+b$

Where, m is the slope and b is the y- intercept.

Plugging point A and the slope in the y- intercept to find the value of b.

$0=\frac{5(-3)}{7} +b$

$b=\frac{15}{7}$

Equation of line AB: $y=\frac{5x}{7} +\frac{15}{7}$

Slope of BC = $\frac{-4-5}{0-4} =\frac{9}{4}$

Plug C = (0,-4)

$-4=0+b$

b=-4

equation of line BC= $y=\frac{9x}{4} -4$

Slope of line AC = $\frac{-4-0}{0--3} =\frac{-4}{3}$

Equation of line AC = $y=\frac{-4x}{3} -4$

Y intercept of AB = $(0,\frac{15}{7} )$

5 0

3 years ago

Read 2 more answers

At a boutique, a pair of flats cost the store $40 and is marked up 30% based on selling price. What is the selling price?

kicyunya [14]

40 x 30 percent = $52

6 0

3 years ago

Shaq painted 600 portraits in 8 hours at that rate how many portraits would he paint in 4 minutes?

Deffense [45]

Answer: In 4 minutes he will make 5 portraits

Step-by-step explanation:

$\large \boldsymbol{} 600p-8h=480 min \\\\ x \ p-4 min \\\\ x=\dfrac{600\cdot 4}{480} =\dfrac{2400}{480} =5 \ portraits \\\\ \rm Answer : 5$

3 0

3 years ago

What is the reciprocal of 4/12?

fenix001 [56]

Answer: 12/4 or 3

Step-by-step explanation: Switch the numerator and denominator. This should leave you with the answer above.

7 0

3 years ago

Read 2 more answers

A farmer wants to build a rectangular pen using 20 feet of fencing, but the length is to be 4 feet more than the width. What is

laila [671]

Answer:

The length of the rectangular pen is 40ft. The width of the rectangular pen is 20ft

3 0

3 years ago