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a_sh-v [17]
2 years ago
6

At the beginning of a trip, the tank of Diana’s car was filled with gasoline to half of its capacity. During the trip, Diana use

d 30 percent of the gasoline in the tank.
At the end of the trip, Diana added 8 gallons of gasoline to the tank.
Let the capacity of the tank of Diana’s car be x gallons. Write an expression representing the number of gallons of gasoline in the tank after Diana added gasoline to the tank at the end of the trip? Enter an expression in the simplified form.
Mathematics
2 answers:
Levart [38]2 years ago
5 0

Answer:

what is half of 30 percent?

Step-by-step explanation:

and that  might  give you the half of 30 percent and all you will have to do is figure out how 30 percent is all toghter and then add the anthor numbers and also but lastly  put in on a experession in simplifed form.

vichka [17]2 years ago
3 0

Capacity of tank be x

At end of journey the tank was half filled.

  • Hence x/2 filled

Now used percentage is 30%

\\ \sf\longmapsto \dfrac{30x}{200}

\\ \sf\longmapsto \dfrac{3}{20}x

Now

  • added gasoline=8gallon

Expression:-

\\ \sf\longmapsto \dfrac{3}{20}x+8

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One night Puvi spent 1/3 of his money on dinner and then 1/4 of the remaining money on dessert. He then had just enough left so
arsen [322]

Answer:

Step-by-step explanation:

Cost of two tickets = 2 * 30 = £60

Let the amount with Puvi = £x

Money spent on dinner = (1/3)*x

                                        = \dfrac{1}{3}x

Remaining \ money =x -  \dfrac{1}{3}x =\dfrac{3}{3}x-\dfrac{1}{3}x=\dfrac{2}{3}x

Money \ spent \ on \ dessert = \dfrac{1}{4} *\dfrac{2}{3}x =\dfrac{1}{6}x\\\\\\

Total money - money spent on dinner - money spent on dessert = 60

x -\dfrac{1}{3}x -\dfrac{1}{6}x=60\\\\\\\dfrac{6}{6}x-\dfrac{1*2}{3*2}-\dfrac{1}{6}x =60\\\\\\\dfrac{6}{6}x-\dfrac{2}{6}x-\dfrac{1}{6}x=60\\\\\\\dfrac{6-2-1}{12}x=60\\\\\\\dfrac{3}{12}x=60\\\\\\x=60*\dfrac{12}{3}=60*4=240

Money that Puvi had at the start of the night = £ 240

8 0
2 years ago
In 4th grade :) help plss
Soloha48 [4]

Answer:

1. 570

2. 5,700

3. 57,000

Step-by-step explanation:

Hope it helped

4 0
2 years ago
Read 2 more answers
3 times the first of three consecutive odd integers is 3 more than twice the third? what is the third integer
fenix001 [56]

Answer:

15

Step-by-step explanation:

The difference between consecutive integers is 1.

The difference between consecutive odd integers is 2.

Let the smallest odd integer be x.

Then the next greater one is x + 2. The greatest one is x + 4.

"3 times the first" is 3x

"twice the third" is 2(x + 4)

"3 times the first of three consecutive odd integers is 3 more than twice the third"

3x = 2(x + 4) + 3

3x = 2x + 8 + 3

x = 11

The smallest integer is 11.

x + 4 = 11 + 4 = 15

The greatest one is 15.

4 0
3 years ago
PLEEZZ
jonny [76]

4 < 4(6y - 12) - 2y       |use distributive property

4 < (4)(6y) + (4)(-12) - 2y

4 < 24y - 48 - 2y       |add 48 to both sides

52 < 26y      |divide both sides by 26

2 < y → y > 2

---------------------------------------------------------

4x + 3 < 3x + 6      |subtract 3 from both sides

4x < 3x + 3       |subtract 3x from both sides

x < 3

------------------------------------------------------------

-5r + 6 ≤ -5(r + 2)        |use distributive property

-5r + 6 ≤ (-5)(r) + (-5)(2)

-5r + 6 ≤ -5r - 10         |add 5r to both sides

6 ≤ -10     FALSE

No solution

-------------------------------------------------------------

-2(6 + s) ≥ -15 - 2s        |use distributive property

(-2)(6) + (-2)(s) ≥ -15 - 2s

-12 - 2s ≥ -15 - 2s        |add 2s to both sides

-12 ≥ -15     TRUE

All real numbers

-------------------------------------------------------------

3s + 6 ≤ -5(s + 2)        |use distributive property

3s + 6 ≤ (-5)(s) + (-5)(2)

3s + 6 ≤ -5s - 10         |subtract 6 from both sides

3s ≤ -5s - 16        |add 5s to both sides

8s ≤ -16         |divide both sides by 8

s ≤ -2

--------------------------------------------------------------

4/3 s - 3 ?

4 0
2 years ago
Someone please help me I suck @ simplifying thank you
dsp73

To solve this question, you would need to find the common denominator among the 2 fractions. In this case it would be

72.

Then multiply numbers to both of the fractions to get to the bottom number in both fractions equaling 72.

40/72 + 27/72 =67/72.

Try to reduce to lowest terms by dividing a common number from both of them if possible.





5 0
3 years ago
Read 2 more answers
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