Michael's lawn mower had 3/8 of a gallon of gasoline in the tank. He started mowing and used all of the gasoline. He put 4/10 of a gallon of gasoline in the tank. After he mowed, 2/4 of a gallon was left in the tank. ​What was the total amount of gasoline Michael used?

Answers

Answer 1

Answer:

11/40 of a gallon

Step-by-step explanation:

The amount of gasoline in the tank of lawn mower = 3/8 of a gallon

Then he put the amount of gasoline in the tank = 4/10 of a gallon

The total amount of gasoline filled in the tank = 3/8 + 4/10

= 3/8 + 2/5

= 15+16/40

= 31/40

The total amount of gasoline filled in the tank = 31/40

The amount of gasoline left in the tank after mowing = 2/4

Total amount of gasoline Michael used = 31/40 - 2/4

= 31-20/40

= 11/40 of a gallon

Alternatively, you can follow this method:

Total amount of gasoline Michael used = 3/8 + (4/10 - 2/4)

= 3/8 + (2/5 - 2/4)

= 3/8 + ( 8-10/20)

= 3/8 + (-2/20)

= 3/8 + (-1/10)

= 3/8 - 1/10

= 30-8/80

= 22/80

= 11/40 of a gallon

Total amount of gasoline Michael used = 11/40 of a gallon


Related Questions

hey can you state what's wrong in the given solution.

=》
[tex]0 = 0[/tex]

we know, zero is always equal to zero

=》
[tex]16 - 16 = 20 - 20[/tex]
because, 16 - 16 = 0
and 20 - 20 = 0

=》

taking 4 as common from 16 - 16 and 5 as common from 20 - 20
[tex]4(4 - 4) = 5(4 - 4)[/tex]
now dividing both sides by
(4 - 4)

=》
[tex] \frac{4(4 - 4)}{(4 - 4)} = \frac{5(4 - 4)}{(4 - 4)} [/tex]
=》
[tex]4 = 5[/tex]
because, (4 - 4) in denominators of both sides cancels out (4 - 4) in numerator of both sides.

=》
[tex]2 + 2 = 5[/tex]
we know, 4 = 2 + 2 , so plugging (2 + 2) in place of 4

Answers

Answer:

i also guess 2+2=4 not 5 ╮(╯▽╰)╭

Write a real-world problem that could be
represented by the equation 2x + 5 = 35.
Then solve the equation.

Answers

Answer:

2x+5=35.

2x+5-5=35-5

2x=30

2x/2=30/2

x=15

What is the vertex of f(x)=(x+3)2+4?

Answers

Answer:

Below.

Step-by-step explanation:

f(x)  =  a(x - j)^2  +  k is the standard vertex form where (j, k) is the vertex,

f(x) =     (x + 3)^2 + 4

Comparing this to the standard form we see that:

vertex =  (-3, 4)

Can someone help me with my homework, please?

Answers

Answer:

6 is 45° 1 is 45° x=10 hope this helps

Answer:

1) 45. Since it is congruent/corresponding to angle 7, which is 45 degrees.

2) 135. Because a straight line is 180 degrees, I substracted 45 from 180, getting 135 degrees, the measure of angle 1.

3) x = 20. Look at the work below.

Step-by-step explanation:

180 - 45 = 135

____________________________________________________________

5x + 35 = 135

      -35    -35

5x = 100

divide by 5

x = 20

Please I need the answer which one is it

Answers

Answer:

33

Step-by-step explanation:

33

True or false please answer ASAP

( Brainliest )

Answers

true.

Hope this helps!

Answer:

False.

Step-by-step explanation:

According to the "power rule", when an exponent is raised to an exponent, we multiply the exponents, not add.  

Here's a good resource on it:

http://www.math.com/school/subject2/lessons/S2U2L2DP.html#:~:text=The%20exponent%20%22product%20rule%22%20tells,is%20just%20a%20short%20cut!&text=The%20%22power%20rule%22%20tells%20us,power%2C%20just%20multiply%20the%20exponents.

The value o -8/15 . 20/64 is

Answers

Answer:

-1/6 or in decimal -0.166667

Step-by-step explanation:

just simplified

The measure of angle A is equal to x degrees. The measure of angle B is equal to 95 degrees. Angles A and B are supplementary. Find m angle A

Answers

Answer:

95°

Step-by-step explanation:

Since both angles are supplementary, they have the same degree.

If angle B = 95°, angle A is also = 95°

5. Evaluate each expression if x is 1, y is 2, and z is 3. (Lesson 6-15) a. 77² – Z b. (x+4)3 - y c. y(x+3) d. 07- y + z)? i need help ​

Answers

Answer:

A) 5927

B) 13

C) 8

D) cannot read expression

Step-by-step explanation:

A) (77^2)-2 = 5927

B) (1+4)*3-2 = 13

C) 2(1+3) = 8

Name the angles that are adjacent to

Answers

Answer:

angle k and n are adjacent to angle j

what is the average of these numbers
3, 5, 6

Answers

Answer:

4.66666666667.

Step-by-step explanation:

3+5+6=14, and 14 divided by 3 (the number of numbers given) is 4.66666666667.

The daily advertising revenue (in dollars) for a local newspaper is given by the function R(t) = -18t2 + 720t – 103, where t is number of years that the paper has been in production. What is the daily advertising revenue after the paper has been in business for 15 years?

Answers

Answer:

6647

Step-by-step explanation:

The computation of the advertising revenue for 15 years is shown below:

Given that

r(t) = -18t^2 + 720t - 103

where

t = number of years = 15

now put the value of t in the above equation

= -18(15)^2 + 720(15) - 103

= -4050 + 10,800 - 103

= 6647

PLEASEEEE HELPPPP ME!!!

Answers

Answer:

a,b,d

Step-by-step explanation:

I think the answer might be 1, 4, and 5. Hope this helps!

A material that does not conduct heat well can be used as __________.
a heat source
b thermometer
c fuel
d insulation

Answers

a material that doesn’t conduct well would be referred to as an insulator because it keeps the heat/electricity in.

Triangle ABC ~ Triangle DEF and the area of Triangle DER is 11. 25 square centimeters. Find DE and DF. ​

Answers

Answer:

DE=3.75

DF=6

Step-by-step explanation:

HELP ASAP 20 POINTS BRAINLIEST

Answers

So the arrow goes through (-2 and -2) so your answer would be -4

-2+-2=-4

Hope this helps

Nine is which percent of 25?
A. 16%
B. 27%
c. 36%
D. 225%
E 270%

Answers

Answer:

36%

Step-by-step explanation:

I don't know if you want the explanation or not.

Please answer this quickly

Answers

4. Im pretty sure it’s multiplication

Hope this helps!!

1/4x2(4x+8y)-3/5x(25x2-20xy)​

Answers

Answer:

On the photo it shows all the steps you need. Next time you should make the multiplying symbol to this * instead it'll be easier to understand because if it was a or a multiply symbol

True or False? The measure of a tangent-chord angle is twice the measure of
the intercepted arc inside the angle.

Answers

The statement made which says the tangent - chord angle is twice the measure of the intercepted arc inside the angle is FALSE.

According to the angle theorem, the angle formed by the intersection of the chord and tangent on a circle is twice the measure of the intercepted arc.

This means that the intercepted arc is twice the measure of the angle formed and not the other way round.

Therefore, the statement is False because the intercepted arc is twice the measure of the angle formed by the intersection of the chord and the tangent on the circle.

Learn more :https://brainly.com/question/4322607

Answer:

This is False

Step-by-step explanation:

A pendulum's first swing has an arc of 36 inches. As the pendulum swings back and forth, the arc length for each successive swing is 95% of the previous swing. If this pattern continues, at which swing of the pendulum will the length of the arc be less than 27 inches? A. 5th B. 6th C. 7th D. 9th

Answers

Answer:

7th

Step-by-step explanation:

Given :

Arc length on first swing = 36 inches

After successive swing, arc length decreases by 95%

Length on 2nd swing = 0.95 * 36 = 34.2

Length on 3rd swing = 0.95 * 34.2 = 32. 49

Length on 4th swing = 0.95 * 32.49 = 30.8085

Length on 5th swing = 0.95 * 30.8085 = 29.268075

Length on 6th swing = 0.95 * 29.268075 = 27.80467125

Length on 7th swing = 0.95 * 27.80467125 = 26.4144376875

26.4144376875 < 27

Hence, length falls below 27 on 7th swing

What is 5x+24=134 thank you so mich have a wonderful day

Answers

Answer:

x = 22

Step-by-step explanation:

5x + 24 = 134

134 - 24 = 110

110 / 5 = 22

x = 22

The function f is given in three equivalent forms.
Which form most quickly reveals the vertex?
A. f(x)=-3(x+1)(x-5)
B.f(x)=-3x^2+12x+15
C.f(x)=-3(x-2)^2+27

what is the vertex?
( , )

Answers

Answer:

C     Vertex is (2, 27)

Step-by-step explanation:

C     Vertex is (2, 27)

Type the slope of the line PARALLEL to y = 6X -3 *
Your answer

Answers

Answer:

6

Step-by-step explanation:

Look for the x, the number before x tells you the slope

Lowest common factor of 28 and 30

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Tia rounds a number, x , to 3 sf. The result is 9.73. Write the error interval for x in the form a ≤ x < b .

Answers

Answer: 9.725  ≤ x ≤ 9.734

Step-by-step explanation:

We know that 9.73 is rounded, then we need to look at the next digit after the last one of 9.73, this would be the third digit after the decimal point.

We know that if this digit is smaller than 5, then we round down.

Then the largest number that can be rounded down to 9.73 is:

9.734

Now we want to find the smallest number that can be rounded up to 9.73

We know that if the next digit is 5 or bigger, then we round up.

Then the number 9.725 is rounded up to 9.73

And this is the smallest number that can be rounded up to 9.73

Then the error interval is:

9.725  ≤ x ≤ 9.734

Lily and Wilder live 810 miles apart. If they leave at the same time and drive towards each other with Lily driving at 55 mph and Wilder driving at 80 mph, after how many hours will they meet?

Answers

Given:

Distance between Lily and Wilder = 810 miles

They drive towards each other with Lily driving at 55 mph and Wilder driving at 80 mph.

To find:

After how many hours will they meet?

Solution:

Lily driving at 55 mph and Wilder driving at 80 mph towards each other. So, the relative speed is:

Relative speed [tex]=(55+80)\text{ mph}[/tex]

                         [tex]=135 \text{ mph}[/tex]

We know that,

[tex]Time=\dfrac{Distance}{Speed}[/tex]

[tex]Time=\dfrac{810}{135}[/tex]

[tex]Time=6[/tex]

Therefore, Lily and Wilder will meet after 6 hours.

help help help help help help help help

Answers

I believe the answer is (3,4)

plzz help it's due today​

Answers

Answer:

c

Step-by-step explanation:

c c

Answer:

AC

AC is the only line wich pentrate the circle

plz help me with this :(

Answers

Answer:

m is equals to 49 degree + 31 degree so which means it's 80°

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