The first car consumed 40 gallons of gas and second car consumed 30 gallons of gas
<em><u>Solution:</u></em>
Let x = gallons consumed by car 1
Let y = gallons consumed by car 2
Fuel efficiency of car 1 = 15 miles per gallon
Distance covered in 1 gallon of gas = 15 miles
Fuel efficiency of car 2 = 25 miles per gallon
Distance covered in 1 gallon of gas = 25 miles
<em><u>Given a total gas consumption of 70 gallons</u></em>
Therefore,
gallons consumed by car 1 + gallons consumed by car 2 = 70
x + y = 70 ------ eqn 1
<em><u>The two cars went a combined total of 1350 miles</u></em>
Therefore,
gallons consumed by car 1 x distance covered in 1 gallon of gas of car 1 + gallons consumed by car 2 x distance covered in 1 gallon of gas of car 2 = 1350
15x + 25y = 1350 ----- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
From eqn 1,
x = 70 - y ------- eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
15(70 - y) + 25y = 1350
1050 - 15y + 25y = 1350
10y = 1350 - 1050
10y = 300
y = 30
<em><u>Substitute y = 30 in eqn 3</u></em>
x = 70 - 30
x = 40
Thus first car consumed 40 gallons of gas and second car consumed 30 gallons of gas
Answer:
The closest answer I got was 2.3hours of fun.
Step-by-step explanation:
add $40.00 and $12.50=$52.50
divide 121.00 by 52.5 you get 2.3 .
Answer:
Sixty percent of the apples in a basket are red. Which statements are true?
If there are 10 apples in the basket, 6 are red.
If there are 60 apples in the basket, 60 are red.
If there are 60 apples in the basket, 100 are red.
If there are 100 apples in the basket, 10 are red.
If there are 100 apples in the basket, 60 are red.
Step-by-step explanation:
The true equation of 24 ÷ 3 + 9 * 5 - 2 = 6 is 24 ÷ (3 + 9) * (5 - 2) = 6
<h3>How to make the equation true?</h3>
The equation is given as:
24 ÷ 3 + 9 * 5 - 2 = 6
The above equation is false because
24 ÷ 3 + 9 * 5 - 2 = 51
And 51 and 6 do not have equal values
Next, we add grouping symbols in the expression on the left-hand side to make the equation true
So, we have:
24 ÷ (3 + 9) * (5 - 2) = 6
The above equation is true because
24 ÷ (3 + 9) * (5 - 2) = 6
Hence, the true equation of 24 ÷ 3 + 9 * 5 - 2 = 6 is 24 ÷ (3 + 9) * (5 - 2) = 6
Read more about equations at:
brainly.com/question/2972832
#SPJ1
Answer:
m(∠LMN) = 67.44°
Area of ΔMNL = 16.66 square units
Step-by-step explanation:
By applying Sine rule in the ΔLMN,
SinM = 
SinM = 0.9235
M = 
M = 67.44°
m(∠M) + m(∠N) + m(∠L) = 180°
67.44 + 38 + m(∠L) = 180°
m(∠L) = 180 - 105.44
m(∠L) = 74.56°
Area of ΔMNL = 
= 
= 16.66 square units
