Answer: the efficiency of the first car is 25 miles per gallon.
the efficiency of the second car is 30 miles per gallon.
Step-by-step explanation:
Let x represent the efficiency of the first car.
Let y represent the efficiency of the second car.
Distance = car efficiency × number of gallons.
The first car consume 25 gallons of gas and the second consumed 15 gallons of gas. The two cars Drove a combined total of 1075 miles. It means that
25x + 15y = 1075- - - - - - - - - - -1
The sum of the fuel efficiencies was 55 miles per gallon. It means that
x + y = 55
Substituting x = 55 - y into equation 1, it becomes
25(55 - y) + 15y = 1075
1375 - 25y + 15y = 1075
- 25y + 15y = 1075 - 1375
- 10y = - 300
y = - 300/-10
y = 30
x = 55 - y = 55 - 30
x = 25
Let f= {(-5,1).( - 4,0).(0,6)}
Find f(0)
f(0)=
Given:
It is given that the coordinates of the function are [tex]f=\{(-5,1),(-4,0),(0,6)\}[/tex]
We need to determine the value of f(0)
Value of f(0):
The value of f(0) is the value of the function when the input is 0.
We need to determine the value of f(0) when the input is x = 0
Thus, from the coordinates of the function [tex]f=\{(-5,1),(-4,0),(0,6)\}[/tex], it is obvious that the input value of the function is x = 0 , then the value of the function f(0) = 6.
Thus, when the input value x = 0, the output is f(0) = 6.
Therefore, the value of f(0) = 6.
Use the spinner to identify the probability to the nearest hundredth of the pointer
landing on a non-shaded area.
The circumference of a circle is 38.936 meters. What is the circle's diameter?
Choose all the sets containing the number
Cory sold 6 baseball cards to a collector for a total of $90. He sold each card for the same price. What is the unit rate of Cory’s baseball cards?
Answer:
The answer would be 15
Step-by-step explanation:
90÷6=15
1. Find the Median Average of these distances run by 8 marathon runners:
10 km, 15 km, 12 km, 14 km, 8km, 16 km, 11 km, 15 km
Answer:
13
Step-by-step explanation:
Organizing the numbers
8 10 11 12 14 15 15 16
The median are both 12 and 14 but to get one median you add the two numbers 12 + 14 which equals 26. 26 divided by 2 numbers equals 13
12 + x = 0.80(x + 20)
Solve the linear equation
Answer:
20
Step-by-step explanation:
12+x=0.8(x+20)
Divide both sides by 0.8:
15+1.25x=x+20
Subtract x from both sides:
0.25x+15=20
Subtract 15 from both sides:
0.25x=5
Multiply both sides by 4:
x=20. Hope this helps!
Answer:
x = 20
Step-by-step explanation:
12 + x = 0.80(x + 20)
Distribute the 0.80 on the right side.
12 + x = 0.8x + 16
Subtract 0.8x from both sides.
12 + 0.2x = 16
Subtract 12 from both sides.
0.2x = 4
Divide both sides by 0.2.
x = 20
Which expression is equivalent to 1/2- (-8)?
Answer:
1/2 + 8 is equivalent to 1/2 - (-8)
0.5 - (-8) is ALSO equivalent to 1/2 - (-8)
0.5 + 8 is another equation that is equivalent to 1/2 - (-8)
Step-by-step explanation:
Step-by-step explanation:
0.5-(-8) is equal to it
What’s the answer to this
Step-by-step explanation:
undefined
Answer:
C) Undefined
Step-by-step explanation:
When the slope on a graph is straight there is no slope so therefore it is undefined.
Randy went to the store and brought a shirt that cost $42.00 before taxes and discount. The shirt was on sale for a discount of 20% before tax. The sales taxes was 3%. What did randy pay for the shirt after discount and tax
Answer:
Step-by-step explanation:
The 20% discount amounted to ...
0.20 × $42.00 = $8.40
so the price before tax was ...
$42.00 -8.40 = $33.60
The tax amount is 3% of this value, so is ...
0.03 × $33.60 = $1.008 ≈ $1.01
So the total price paid for the shirt was ...
$33.60 +1.01 = $34.61
Randy paid $34.61 for the shirt after discount and tax.
___
Alternate solution
You can realize that the 20% discount means that Randy will pay 80% of the original price of the shirt. Similarly, the 3% added tax means Randy will finally pay 103% of the discounted price. Then the total price Randy pays is ...
$42.00×0.80×1.03 = $34.608 ≈ $34.61
Finx X: 7x=35
A) 3
B) 5
C) 7
D) 10
Answer: [tex]x=5[/tex]
Divide both sides by 7
[tex]7x/7=35/7\\x=5[/tex]
Answer:
[tex]7x = 35 \\ \frac{7x}{7} = \frac{35}{7} \\ x = 5[/tex]
hope this helps you...
What is the only solution of 2x2 + 8x = x2 - 16?
Answer:
it is 2
Step-by-step explanation:
Can you help me with this: 4x + y = 6
Answer:
y = -4x + 6
Step-by-step explanation:
For a slope-intercept equation, you need to isolate the y. For this equation, just subtract 4x from both sides to get y on it's own.
Simplify the following equation. (6x+4)+(5-2x)
Answer:
the correct answer is...
Step-by-step explanation:
4x+9
Michael Rice’s bike at a constant speed of 12 mph how far can he travel in two hours
Answer:
The answer to your question is distance = 24 mi
Step-by-step explanation:
Data
speed = 12 mph
time = 2 hours
distance = ?
Process
To solve this problem, use the speed formula. Speed is a variable that measures the distance travel by a body over time.
speed = distance / time
-Solve for distance
distance = speed x time
-Substitution
distance = 12 x 2
-Result
distance = 24 mi
Answer:
24miles
Step-by-step explanation:
12/1 = x/2
where the numerator is the miles and the denominator the hours
cross multiply
12×2 and dived by 1 to yet your answer.
A tank is in the shape of a rectangular prism. If the base has an area of 116 square feet and the tank is 30 feet tall, how many cubic feet of water would the tank contain when it is filled halfway?
Answer:
1740 cubic feet
Step-by-step explanation:
Given:
A tank is in the shape of a rectangular prism.
Area of base = 116 square feet
Height of the tank = 30 feet
Question asked:
How many cubic feet of water would the tank contain when it is filled halfway?
Solution:
Area of rectangular base = 116 square feet
[tex]Length\times breadth=116[/tex]
As we know:
[tex]Volume\ of\ rectangular\ prism=length\times breadth\times height[/tex]
[tex]=116\times30=3480\ cubic\ feet[/tex]
That means capacity of tank is 3480 cubic feet.
When it is filled halfway, it will contain =
[tex]\frac{1}{2} \ of\ volume=\frac{1}{2}\times3480=1740\ cubic feet[/tex]
Thus, tank will contain 1740 cubic feet of water when it is filled halfway.
What is the slope of (2,3) and (4,6)
Answer:
The slope is 3/2
Step-by-step explanation:
6-3=3 4-2=2 3/2
Which expression matches: 7 less than the product of 4 and 5
7- (4 + 5)
7- 4(5)
4(5) -7
(4 + 5) -7
Answer:
4(5) -7
Step-by-step explanation:
4(5) -7
The product of 4 and 5 means that 4 and 5 are multiplied together.
"7 less than," means subtracting 7.
That means you get 4(5) - 7
Which function represents the following graph?
On a coordinate plane, a cubic function has an inflection point at (negative 3, 3) and crosses the x-axis at (0, 4.5).
y = StartRoot x minus 3 EndRoot + 3
y = StartRoot x + 3 EndRoot + 3
y = RootIndex 3 StartRoot x minus 3 EndRoot + 3
y = RootIndex 3 StartRoot x + 3 EndRoot + 3
Answer:
its d on edg
Step-by-step explanation:
just did the test
Answer
y = RootIndex 3 StartRoot x + 3 EndRoot + 3
Step-by-step explanation:
Took quiz
Can the sides of a triangle have lengths 9.2, 7.8, and 2.1?
Step-by-step explanation:
9.2 + 7.8 = 17 > 2.1
7.8+2.1= 9.9> 9.2
9.2+2.1= 11.3 > 7.8
Since, sum of any two sides is greater than the third side, a triangle can have these lengths
An isosceles right triangle is always 45 45 90 triangle.
True
False
Answer:
Yes, an isosceles triangle is always 45 45 90 so its TRUE!!
Answer:
[tex]\huge \boxed{\mathrm{True}}[/tex]
Step-by-step explanation:
An isosceles right triangle is always 45 45 90 triangle.
An isosceles right triangle has a right angle or 90 degrees angle.
An isosceles right triangle has two angles equal in size.
If one angle is a right angle, then the other two will be 45 45.
A circle has a radius of 5 and the arc measure is 60. what is the Arc lenght
Answer:
5.23 units
Step-by-step explanation:
Let the length of arc be l
[tex]central \: \angle \: ( \theta) = 60 \degree \\ radius \: (r) = 5 \: units \\ \\ \because \: l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ \therefore \: l = \frac{60 \degree}{360 \degree} \times 2 \times 3.14 \times 5 \\ \\ \therefore \: l = \frac{1 }{6} \times 31.4 \\ \\ \therefore \: l = 5.23 \: units[/tex]
For which of the following value(s) of p is the following function NOT defined:
For p=5 function not defined
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
P.S. Hello from Russia
Answer:
A. (5).
Step-by-step explanation:
It' not defined if the denominator 3p - 15 is equal to zero.
This happens when p = 5 ( 3(5) - 15 = 0).
A train leaves at 17.22 and arrives at its destination at 18.14.
If the train travelled 56 km, what was it's the average speed in km/h?
Give your answer rounded to 1 dp.
The train's average speed was calculated by using the formula for average speed (Total distance \/ Total time), resulting in approximately 64.4 km/h, after converting the total journey time from minutes to hours.
To calculate the average speed of the train, we can use the formula:
Average speed = Total distance \/ Total time
First, we find the total time taken by the train for its journey:
Departure time: 17:22
Arrival time: 18:14
Total time = Arrival time - Departure time
Total time = 18:14 - 17:22
Total time = 52 minutes
To convert minutes to hours (since speed is in km/h), we divide by 60:
Total time in hours = 52 / 60 ≈ 0.87 hours
Now, we can plug in the given distance and calculated time into the formula:
Average speed = 56 km / 0.87 hours ≈ 64.4 km/h
Hence, the train's average speed was approximately 64.4 km/h, rounded to 1 decimal place.
Would i solve this doing 14+5 or 14-5 to get the missing length?
Answer:
The answer to your question is 10 ft
Step-by-step explanation:
We can observe that all the sides have a length but the first to the left.
Also, we know the corners meet at right triangles, so to calculate the length of the missing side, we must add to sides.
But these sides must be the ones that are in front of it (6 ft and 4 ft)
Then ? = 6 + 4
10 ft
Point B has coordinate B(1, -1).
What is the coordinate of B' under a scale factor of 3?
A:(1,-1)
B:(3, -3)
C:(-2, 2)
D:(-6, 6)
Answer:
B
..............................................
Answer: I believe it would be B(3,-3), Please correct me if I'm wrong, but thats the way I was taught when dealing with scale factors.
Step-by-step explanation:
Who are y’all a favorite music artist?
Let me know what the word is.
Put me on!
Answer:
Well I have two that i really enjoy which is Lund and Melanie Martinez
Step-by-step explanation:
Both of their music is amazing I enjoy listening to it all the time there is more i love but i would recommend this two
Answer: Drake, Ariana Grande, Justin Bieber, Shawn Mendes Etc
Step-by-step explanation:
Mary is buying tickets for a movie.
• Each adult ticket costs $9.
Each child ticket costs $5.
Mary spends $110 on tickets.
- Mary buys 14 total tickets.
Answer:
adult 10
child 4
Step-by-step explanation:
for example,we buy x tickets for adults,y tickets for children.
so we can know x+y=14,9x+5y=110
5(x+y)=70
110-70=40
40/(9-5)=10,this is for adults
the rest are for child
Answer:9×10=90+15=105+5=110
Step-by-step explanation:
a fish tank holds 513 gallons but leaks at a rate of 4 gallons per day and 684 gallons but leak at a rate of 7 gallons per day . after how many days will the amount of water in the two tanks be the same
Margaret is planning a wedding reception. She wants to spend less than her budget of 5,676, and margaret has already spent 2,652. The meal price per guest is 28. How many guests, x, can margaret invite to the reception and stay under budget?
Final answer:
To determine how many guests Margaret can invite to stay under budget, follow the steps to calculate the maximum number of guests based on the remaining budget and meal price per guest.
Explanation:
To determine how many guests Margaret can invite to stay under budget, follow these steps:
Calculate how much budget Margaret has left: $5,676 - $2,652 = $3,024.Divide the remaining budget by the meal price per guest to find out the maximum number of guests she can invite: $3,024 ÷ $28 = 108. Therefore, Margaret can invite a maximum of 108 guests and stay under budget.