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postnew [5]
2 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
Mathematics
1 answer:
valina [46]2 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 )

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777dan777 [17]

Answer:

y = (2/7)x -12

Step-by-step explanation:

y = mx + b is the standard form of an equation of a straight line in which m is the slope and b is the y-intercept (the value of y when x is zero)..

<u>m</u>=(2/7) and <u>b</u> = -12

y =   <u>m</u>x  + <u>b</u>

y = (<u>2/7</u>)x <u>-12</u>

8 0
3 years ago
Jen picked 3/4 of a gallon of strawberries in half an hour.If she keeps picking strawberries at the same time, how many gallons
MrRa [10]

Answer:

Number of gallons of strawberries will she have picked in 2 hours is, 3

Step-by-step explanation:

Unit rate defined as the rate are expressed as a quantity of 1, such as 4 feet per second or 6 miles per hour, they are called unit rates.

Given the statement: Jen picked 3/4 of a gallon of strawberries in half an hour.

⇒ In \frac{1}{2} hour Jen picked  \frac{3}{4} gallon of strawberries.

Unit rate per hour = \frac{\frac{3}{4} }{\frac{1}{2}} =\frac{3}{4} \times \frac{2}{1} = \frac{6}{4} = \frac{3}{2}

To find the number of gallons will she have picked in 2 hours.

Number of gallons = unit rate per hours \times 2

                                      =\frac{3}{2} \times 2 = 3

Therefore, the number of gallons will she have picked in 2 hours is, 3

6 0
3 years ago
PLZ HELP ME BY THE END OF THE DAY
nlexa [21]

3x^{2} +1=28

Step 1 : subtract 1 from both sides

3x^{2} =27

Step 2 : Divide both sides by 3

\frac{\frac{3x^{2} }{3} }{\frac{27}{3} }

x^{2} = 9

Step 3 : Find the square root of 9

\sqrt{9} = 3

x= (-3,3)

remember negative × negative = positive


6 0
3 years ago
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Sliva [168]
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7 0
3 years ago
Terrell wants to Drive his car at a speed of 50 miles per hour for 2.75 hours. His car has a fuel efficiency of 25 miles per gal
Oduvanchick [21]
HI there! To find the number of gallons he needs for travel, the first step we need to do is find the number of miles he'll travel, by multiplying speed by time. 50 * 2.75 is 137.5. Terrell will travel 137.5 miles in 2.75 hours. There are 25 miles in a gallon. Now, let's divide the number by 25 to get the number of gallons. 137.5 / 25 = 5.5. There. Terrell will need 5.5 gallons of gas for his journey.
5 0
3 years ago
Read 2 more answers
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