Answer:
Fuel efficiency of first car = 30 miles/gallon
Fuel efficiency of second car = 25 miles/gallon
Step-by-step explanation:
Given that:
Fuel consumed by first car = 40 gallons
Fuel consumed by second car = 15 gallons
Total distance drove by the two cars combined = 1575 miles
Sum of their fuel efficiencies = 55 miles/gallon
To find:
The fuel efficiencies of each of the cars = ?
Solution:
Fuel efficiency of a car is defined as the ratio of distance traveled in miles to the number of gallons used by the car.
Let the distance traveled by first car = [tex]x[/tex] miles
So, the distance traveled by other car = (1575 - [tex]x[/tex]) miles
Fuel efficiency of first car = [tex]\frac{x}{40}[/tex] miles/gallon
Fuel efficiency of second car = [tex]\frac{1575-x}{15}[/tex] miles/gallon
As per given question statement:
[tex]\frac{x}{40}+\frac{1575-x}{15}=55\\\Rightarrow 15x+1575\times 40-40x=55\times 40 \times 15\\\Rightarrow 25x=30000\\\Rightarrow x =1200\ miles[/tex]
Distance traveled by first car = 1200 miles
Fuel used by first car = 40 gallons
So, fuel efficiency of first car = [tex]\frac{1200}{40} = \bold{30\ miles/gallon}[/tex]
Distance traveled by second car = 1575 - 1200 = 375 miles
Fuel used by second car = 15 gallons
So, fuel efficiency of second car = [tex]\frac{375}{15} = \bold{25\ miles/gallon}[/tex]
The graph shows a predicted population as a function of time.
Which statement is true?
As the number of years increases without bound, the
population decreases without bound.
As the number of years decreases, the population
increases without bound.
As the number of years increases without bound, the
population increases without bound.
There is no limit to the population, but there is a limit
to the number of months.
Answer: (As the number of years increases without bound, the population increases without bound.)
Hope I helped.
Answer:
The answer is C. As the number of years increases without bound, the population increases without bound.
Evaluate the expression for x = 3.4, x = 7.6
u have to multiply both of the numbers
i need somebody help on this test i am Taking
Answer:
ok and thank you for point
please help i'll give brainist!
Kaya rented a limousine for prom. There was a one-time charge of $100, plus an hourly rate of $45. Her total cost for the night was $325. Type an equation to find how many hours Kaya rented the limo.
Answer:
325-100 = 225
225/45 = hours
You're welcome give brainliest thanks
Leslie is a biologist. She is going to randomly select one animal from her lab to study. There are 555 salamanders, 333 crayfish, and 121212 minnows in her lab. What is \text{P(salamander})P(salamander)start text, P, left parenthesis, s, a, l, a, m, a, n, d, e, r, end text, right parenthesis?
Answer:
1/4Step-by-step explanation:
Given
amount of salamanders, = 5
amount of crayfish = 3
amount of minnows = 12
Total fish = Total outcome = 5+3+12
Total outcome = 20
Since we are looking for the probability of selecting salamanders, our expected outcome will be 5.
Probability = expected outcome/total outcome
Pr( salamanders,) = 5/20
Pr( salamanders) = 1/4
Hence the probability of selecting salamanders, is 1/4
Does anyone know this. whoever answers first and correct ill give brainliest
Answer:
5.49 x 10^14
Step-by-step explanation:
The calculator is showing the scientific notation but instead of EE, it changes to x 10 ^
Andrea bought tacos from a food truck and left 25% tip of $2.00. What was the price of Andreas tacos, before tip?
Answer:
$8
Step-by-step explanation:
25% is .25, also known as 1/4. So if you think of it that way, $2 is 1/4 of the entire payment that was added to it. 2*4 is 8, so the price of the tacos was $8 before any tip was added. Andrea paid $10 in total if you include the tip.
A surveyor is surveying a street. The surveyor is standing at point Plooking down the street at a No Parking sign at point A and a stop sign at point R. Given PA=3x-4, PR=21 meters, AR=7 meters and point A is between point Rand point What is the value of x in meters?
Answer:
Step-by-step explanation:
If point A is between P and R, then;
PA+AR = PR
Given
PA=3x-4,
PR=21 meters,
AR=7 meters
Substitute
3x-4 +7 = 21
3x+3 = 21
3x = 21-3
3x =18
x =18/3
x = 6
Hence the value of x is 6m
what is negative 7 minus negative 2
Answer:
-5
Step-by-step explanation:
-7 - (-2)
-7 + 2
Example: If you owe someone $7, and you give them $2, how much do you still owe? You are owing him $7 so it's a negative and you give him $2 which is a negative as well since you are giving it to him. So, to answer how much do you still owe, you would add $2 to the $7 you owed, so now, you owe him $5, which is a negative since you OWE him.
Hope this helps:)
74. Seven workers are hired to seed a field by hand. Each is given a plot 7 x 7
feet in size. What is the total area of the field?
Answer:
The total area of the field is 343 square feet
Step-by-step explanation:
Let us solve the question
∵ There are 7 workers hired to seed a field by hand
∵ Each is given a plot 7 x 7 feet in size
→ The plot has shaped a square because its two dimensions equal
∴ The side of the plot = 7 feet
∵ The area of the square = side × side
∴ The area of each plot = 7 × 7
∴ The area of each plot = 49 square feet
→ To find the total area multiply the area of 1 plot by the number
of the workers
∵ The total area = 49 × 7
∴ The total area = 343 square feet
∴ The total area of the field is 343 square feet
What is the measurement of each base angle?
Step-by-step explanation:
isosceles triangle6 X+8 = 9 X_25 9 X _6X =25 +83×= 33X=11base angle = 74Simplify the expression using the distributive property.
–4(–3x + 11)
1. Distribute the –4 through the parentheses: -4(–3x) + (-4)(11)
2. Find each product: _____x -44
Answer:
Find each product: 12x × -44
I hope this helps!
Answer:
0) 12x-44
1) 12x-44
2) 12
Step-by-step explanation:
Hope it help, please give me brainlest! :)
need answer asap
..................................
i need help for this question. can someone help me
Answer:
the missing angle is 130
Step-by-step explanation:
180-50=130
Select all that apply.
Which of the following statements are true of this equation? Select all that apply.
5 1/6 divided by 2 5/12 = 2 4/29
Answer:
The answer to this question is 2.137931034
Step-by-step explanation:
Just divide it by a calculator.
7h + 3 = 7(2+h) -11
this is my question
Answer:
Step-by-step explanation:
7h+3=7(2+h)-11
7h+3=14+7h-11
7h+3=7h+3
The answer is 0 or no solution since they cancel each other out.
What is the solution to the system of linear equations shown on the graph?
Group of answer choices
A)0
B)(-2, 2)
C)The system has no solution.
D)The system has infinitely many solutions.
Answer:
oof thats hard but i think it B OR C
Step-by-step explanation:
In a certain city, Uber charges a $5 flat fee for picking you up, and then charges $0.75 per mile.
a.) Write a function that describes your cost for riding m miles.
Answer:
f(c) = 5 + 0.75m
Step-by-step explanation:
f(c) = 5 + 0.75(m)
where "c" is cost;
and "m" is distance in miles
Which equation below would be best solved by using the addition property of equally?
1-23-45
231-45
f. 23-45
1-23 - 45
Answer:
D
Step-by-step explanation:
Edge 2020 :)
Answer:
the answer is D
Step-by-step explanation:
Please help me with my work
Answer:
1) -1/4
2) -1/2
3) 1/3
Step-by-step explanation:
perpendicular lines' slopes are opposite reciprocals so you flip it and change the positive or negative sign
parallel lines have the same slope
hii this is geometry please help!!
Answer:
40
Step-by-step explanation:
The Interior of a triangle adds up to 180. 180 - 90 - 50 = 40
Mr. Myers wants to join a music club. The 1st choice music club charges a $5 sign-up fee and $1 each song.The superstar music club charges no sign-up fee and charges $3.50 each song. After how many song will the cost of the music clubs be equal?
1st choice music club equation: _____ Superstar Music Club Equation: _____
Solution: _____
THIS WAS DUE YESTERDAY, with a lot of other confusing problems! Please help!
Answer:
The answer is 2 songs and the solution is 7.
Step-by-step explanation:
1. Make an equation for each club. The 1st choice music club equation is 5+1x and the Music Club equation is 3.50x.
2. Go down the number line starting with 1 and replace x with that number and solve the equation until you get the same number on each side with the same replacement number.
3. So, 5+1x becomes 5+1(2) and that would equal 7. Then do 3.50x becomes 3.50(2) and that would also equals 7.
Note: When a number has a number next to it in parentheses then that means to have to multiply first. If you don't then you will get the wrong answer.
29°
2
115
What is the angle?
Answer:
Obtuse
Step-by-step explanation:
simplify this expression: 54 - c + 3c by the power of 2 - 10
Answer:
Step-by-step explanation:
Sorry dunno
Answer:
3c 2 −c+44
54-c+3c2-10
((54 - c) + 3c2) - 10.
Step 2 :Trying to factor by splitting the middle term.
2.1 Factoring 3c2-c+44.
The first term is, 3c2 its coefficient is 3 .
Wendell would like to make some chocolate chips cookies. His recipe calls for the use of 1/2 cups of sugar per batch.he has 3 1/4 of sugar in his apartment. Accidentally, drops 1 cup of sugar on the floor. How many whole batches of sugar cookies can he make with the sugar he had leftover
Answer:
He can make 4 batches of sugar cookies.
Step-by-step explanation: 4x1/2=2 and because he lost 1 cup, he only has 2 cups left
can you guys help with these questions??
Answer:
Step-by-step explanation:
<3 = 55° ( vertically opposite angles )
<4 = 180 - 105 = 75° ( linear pair )
<5 = 180 - ( 55 + 75 ) ( angle sum property of a triangle )
= 180 - 130
= 50°
<1 = <2 ( angles opposite to equal sides )
let < 1 and < 2 be x
55 + 2x = 180 ( angle sum property of a triangle )
2x = 180 - 55
2x = 125
x = 125 / 2
x = 62.5
therefore, < 1 = <2 = 62.5°
Hope this helps
plz mark as brainliest!!!!!!
The perimeter P of a rectangle is calculated using the formula P = 2(l + w), where l and w are the length and width of the rectangle. Rearrange the formula to make length (l) the subject.
Answer:
P = 2(l + w)
P = 2l + 2w
Use the substitution method to solve the system of equations. Choose th correct ordered pair. y = 8x - 4 x = 4 A. (2. 12) OB. (4, 28) C. (4, 4) D. (2.4)
9514 1404 393
Answer:
B. (4, 28)
Step-by-step explanation:
Substitute the value of x into the first equation. This gives you the value of y.
y = 8x -4x = 4After substitution, we have ...
y = 8(4) -4
y = 28
Then the point is (x, y) = (4, 28).
4. Tres albañiles trabajaron en una construcción. Francisco trabajó el doble de horas que Eduardo y Eduardo trabajó el cuádruple de horas de las que trabajó Hugo. Entre los tres hermanos trabajaron 104 horas ¿Cuántas horas trabajó cada uno? Planteamiento algebraico: Procedimiento:
Answer:
La cantidad de horas que trabajó Hugo son 8, mientras que Eduardo trabajó 32 horas y Francisco 64 horas.
Step-by-step explanation:
En primer lugar, para determinar la ecuación que debes resolver, es conveniente establecer la variable a la que debes encontrar una solución en la ecuación. Entonces, llamas x a la cantidad de horas que trabajó Hugo.
Luego, sabes que Eduardo trabajó el cuádruple de horas de las que trabajó Hugo, esto es, cuatro veces más de las horas trabajadas por Hugo. Esto se expresa matemáticamente como 4*x.
Finalmente, Francisco trabajó el doble de horas que Eduardo, que se calcula multiplicando a las horas trabajadas por Eduardo por 2: 2*4*x= 8*x
Entre los tres hermanos trabajaron 104 horas. Esto indica que la suma de las horas trabajadas por Francisco, Eduardo y Hugo debe ser 104 horas. Esto se expresa matemáticamente como:
x + 4*x+ 8*x= 104 (Planteamiento algebraico)
Resolviendo (Procedimiento):
13*x=104
[tex]x=\frac{104}{13}[/tex]
x=8
Esto significa que la cantidad de horas que trabajó Hugo son 8.
Eduardo trabajó 4*x, esto es 4*8, que da como resultado 32 horas. Entonces Eduardo trabajó 32 horas.
Por último, Francisco trabajó 8*x. Siendo x=8, entonces 8*8=64. Entonces Francisco trabajó 64 horas.
Hugo trabajó 8 horas, Eduardo trabajó 32 horas y Francisco trabajó 64 horas.
Dado que tres albañiles trabajaron en una construcción, y Francisco trabajó el doble de horas que Eduardo y Eduardo trabajó el cuádruple de horas de las que trabajó Hugo, y entre los tres hermanos trabajaron 104 horas, para determinar cuántas horas trabajó cada uno se debe realizar el siguiente cálculo:
E + F + H = 104F = 2EE = 4HF = 8HH + 4H + 8H = 10413H = 104H = 104 / 13H = 8Así, Hugo trabajó 8 horas, Eduardo trabajó 32 horas y Francisco trabajó 64 horas.
Aprende más en https://brainly.com/question/22195033