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Mnenie [13.5K]
3 years ago
11

if a car uses 1/3 of a tank of petrol on the first part of the journey then 2/5 of a tank of petrol on the second part on the jo

urney and has 8 litres how many litres of petrol did it have before the journey
Mathematics
1 answer:
Ainat [17]3 years ago
8 0
We assume the petrol tank was full at the beginning of the journey.

The petrol tank holds x litres.

x - 1/3 x - 2/5 x = 8

15x/15 - 5x/15 - 6x/15 = 8

4x/15 = 8

4x = 120

x = 30

The petrol tank holds 30 litres.
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Angela tried to solve an equation step by step. \begin{aligned} \dfrac34+m&=\dfrac54\\\\ \dfrac34+m-\dfrac34&=\dfrac54+\
Liono4ka [1.6K]

Answer:

The mistake she made was ; She didn't change the sign when subtracting -3/4 from both sides

She wrote 5/4+3/4 instead of 5/4-3/4

Step-by-step explanation:

Correct solution:

\frac{3}{4}  + m =   \frac{5}{4}

Subtract-3/4 from both sides

\frac{3}{4}  -  \frac{3}{4}  + m =  \frac{5}{4}  -  \frac{3}{4}

Simplify

m =  \frac{5}{4}  -  \frac{3}{4}  \\ m =  \frac{1}{2}

7 0
3 years ago
If a line crosses the y-axis at (0, 1) and has a slope of , what is the equation of the line?
defon
5y - 4x = 5
5y = 4x + 5
y = 4/5x + 1.....slope of 4/5 and y intercept of (0,1)
6 0
3 years ago
Please help! Multiple choice question!
Alenkasestr [34]
C. Action: Divide both sides by 3.
8 0
3 years ago
Read 2 more answers
I really need help. Someone please help me with this.
9966 [12]

Answer:

  angles 1, 3, 6, 8 = 142°

  angles 2, 4, 5, 7 = 38°

Step-by-step explanation:

Vertical angles and corresponding angles are congruent, as are alternate interior angles. Hence the angles 1, 3, 6, 8 are all congruent:

  ∠1 = ∠3 = ∠6 = ∠8 = 142°

Each of the remaining angles forms a linear pair with one or another of those, so is its supplement:

  ∠2 = ∠4 = ∠5 = ∠7 = 180° -142° = 38°

7 0
3 years ago
(-5q^2 + 6q + 7) - (-q^2 + 4q)
beks73 [17]

Steps to solve:

(-5q^2 + 6q + 7) - (-q^2 + 4q)

~Distribute the left side

-5q^2 + 6q + 7 + q^2 - 4q

~Combine like terms

-4q^2 + 2q + 7

Best of Luck!

5 0
3 years ago
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