Answers
Answer:
25 gallons35 gallonsStep-by-step explanation:
You want the number of gallons of gas used by car 1 at 25 mpg and car 2 at 40 mpg when the total gas used for driving 2025 miles is 60 gallons.
SetupLet x represent the number of gallons used by car 2 at 40 miles per gallon. Then the gas used by car 1 is (60 -x). The number of miles driven is the product of miles per gallon and gallons used.
25(60 -x) +40x = 2025 . . . . total miles driven
SolutionSimplify the equation:
1500 +15x = 2025
15x = 525 . . . . . . . . . . subtract 1500
x = 35 . . . . . . . . . . divide by 15
60-x = 25 . . . . . gallons used by car 1
The first car used 25 gallons; the second car used 35 gallons.
__
Additional comment
The first car drove 25·25 = 625 miles; the second car drove 40·35 = 1400 miles.
Related Questions
How do you simplify rational expressions
Answers
Answer:
Ok so,
Step-by-step explanation:
Step 1: Factor the numerator and the denominator.
Step 2: List restricted values.
Step 3: Cancel common factors.
Step 4: Reduce to lowest terms and note any restricted values not implied by the expression.
A rectangular pyramid is represented by the net shown below. What is the surface area of the pyramid? Responses 155 square units 155 square units 68.75 square units 68.75 square units 195 square units 195 square units 97.5 square units.(5.1h, 4h, 8b,5 at the side.)
Answers
Answer: b or c
Step-by-step explanation:
1. What is the median number of TVs in Mrs. Jamison's class?
2. What is the median number of TVs in Mr. Zimmerman's class?
Answers
2. median of 3
What is the value of \dfrac{x^2}{y^4}
y
4
x
2
start fraction, x, squared, divided by, y, start superscript, 4, end superscript, end fraction when x=8x=8x, equals, 8 and y=2y=2
Answers
Answer:4
Step-by-step explanation:
Put the numbers in the expression in place of the corresponding variables and do the arithmetic.
Answer:
4
Step-by-step explanation:
The graph represents a relation where x represents the independent variable and y represents the dependent variable. a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 2 comma negative 2, at 0 comma 2, at 1 comma 3, and at 5 comma 1 What is the domain of the relation? {−5, −2, 0, 1, 2, 3, 5} {−5, −2, −1, 0, 3, 5} {−5, −2, 0, 1, 5} {−2, 0, 1, 3}
Answers
Answer:
domain is -5,-2,01,5
Step-by-step explanation:
domain are all the x's
Write a scenario to represent the inequality 2x < 64. Be sure to define the variable.
Answers
Answer:
See explanation
Step-by-step explanation:
2x<64 [divide the 2 and 64 from both sides]
2x\2<64\2
x=32
Find the tables with unit rates greater than the unit rate in the graph. Then arrange these tables in order from least to greatest unit rate. У 70 и ойук УКЬБУика 65 60 55 50 45 43 35 30 25 20 15 10 5 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2023 Edmentum. All rights reserved. X x y 7 13 14 26 xy 59 10 18 xy 9 17 18 34 xy 11 21 22 42 xy 10 19 20 38 x y 13 25 26 50 x y 12 23 24 46
Answers
The tables with greater unit rate than the graph are given as follows:
Table 1.Table 3.Table 4.Table 5.Table 6.Table 7.What is a proportional relationship?A proportional relationship is defined according to the equation presented as follows:
y = kx.
In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one, thus being also called unit rate.
The unit rate of the graph is given as follows:
k = 20/11
k = 1.82.
For each table, the rate is given as follows:
Table 1: 13/7 = 1.86.Table 2: 9/5 = 1.8.Table 3: 17/9 = 1.89.Table 4: 21/11 > 20/11.Table 5: 19/10 = 1.9.Table 6: 25/13 = 1.92.Table 7: 21/12 = 1.91.More can be learned about proportional relationships at https://brainly.com/question/7723640
#SPJ1
Combine like terms to simplify the expression below.
12(6x+4)+5x−8
Answers
First you’d need to distribute the 12 in order to begin combining like terms.
72x + 48 +5x -8
Circle which have an exponent which would be 72x and +5x which would be 77x
Box the numbers without exponents and combine those 48 -8 which equals 40
77x + 40
There is no number that these two share so there is no way for them to be simplified so your answer is just 77x + 40.
Distribute the 12 to the 6x and 4.
72x + 48 + 5x - 8
Combine 72x and 5x since they both have the variable x.
77x + 48 - 8
Combine 48 and 8 because they both have no variable
77x + 40
Nayeli went shopping for a new video game because of a sale. The store was offering a 45% discount. If the price on the tag was $44, what would be the price after the discount but before tax, to the nearest dollar and cent?
Answers
Working: 45% of $44 is $19.8
To the nearest dollar is $20
Answer:
Step-by-step explanation:
45 % discount means 55/100.
55/100 x $44
simplify
0.55 x 44
= (5 x 44) + (50 x 44)
() = 220
220 +?
() = 2200
220 + 2200 = 2420
move the decimal back, and then... $24.20
The answer would be $24.20
Hi! I don't really get what or how to solve this question.
Which of the following sets of measurements cannot represent the three side lengths of a triangle?
A. 5cm, 5cm, 5cm
B. 5cm, 6cm, 7cm
C. 5cm, 7cm, 12cm
D. 5cm, 10cm, 11cm
Answers
Answer:
C and D
Step-by-step explanation:
you could draw them connecting to each other using your ruler and predict if ita a triangle or not .
also the sum of any 2 sides of a triangle must be greater than the measure of the third side unless equilateral Triangle
Help asap I will mark you as a brainliest
Answers
Answer:
with what exactly
Step-by-step explanation:
(show work pls and ty)
Answers
K=2.5 because 5 divided by 2 is 2.5. You can even check this by dividing 12.5 by 5 and still get 2.5
2. Write the proportional equation using the table below.
(1 bottle =2.5 liters)
6 bottles X 2.5 liters
3. How many liters of soda can 6 bottles hold?
6 bottles = 15 liters
Answer: 15
Find the volume of the pyramid. Round to the nearest tenth if necessary.
Answers
Answer:
410.6 cubic cm
Step-by-step explanation:
Formula V = (l x w x h) / 3
V = ( 8 x 14 x 11) / 3
V = 1232 / 3
V = 410.6 cubic cm
What is the area of a right triangle with a height of 8.9cm and a base of 14.3cm?
Answers
Answer:
ar of triangke is 1 /2 base*height
so
ar = 1/2 * 8.9*14.3
ans = 63.63 sq cm
Answer: 63.63cm
Step-by-step explanation: To find the area for a triangle, the formula is A=L*W divided by 2. So you want to do A=14.3*8.9/2= 63.63500 (63.63).
Have a good day.
Can someone help asap I will make you the brainliest
Answers
Answer: P = 3a
Step-by-step explanation:
3(4x - 8)
12x-24
12x = 24
x = 24/12
x=2
3(4X2 = 8 - 8)
3(0)
0
Easy brainly for anyone who can solve this
(747+21) - (629 -12) +83 x 24
Answers
Answer:
83x^24+151
Step-by-step explanation:
768-(629-12)+83x^24
768-617+83x^24
83x^24+(768-617)
83x^24+151
They deleted the question, but you can help me on this math.
Answers
Step-by-step explanation:
8 / pound
so if he give 40 $ fo candy then 40/8
= 5 so he will buy 5 pound candy
40 divided by 8 is 5 so the answer will be 5 pound 8 unit = 1 pound
40=5 pound
Help me please best answer will get brainliest
Answers
Answer this for me!!
Answers
Answer:
A because it is 2 time the triangle’s formula.
i need help with this question
Answers
Answer: 33
Step-by-step explanation:
36 / 4 = 9
24 + 9 = 33
Answer:
33
Step-by-step explanation:
The variables y and x have a proportional relationship, and y = 7 when x = 2.
What is the value of y when x = 5?
Enter your answer as a decimal in the box.
y = ___
Answers
Answer:
17.5
Step-by-step explanation:
x=2
y=7
when y by x, then multiple y by 5.
7/2= 3.5
3.5×5= 17.5
you can also do 7x2 which would give you 14 and then divide 7 by 2 to get 3.5, and add the two together, so 14+3.5=17.
Can anyone help? I only need the answer
Answers
Hope this helped you!
The two ordered pairs are (4,-2) and (-2,2)
Note: Enter your answer and show all the steps that you use to solve this problem
108 is 36% of what number? Write and solve a proportion to solve the problem.
Answers
108/n = 36/100
Next write the cross products. So, 36n = 108 x 100 = 10,800
divide each side by 36.
36n/36 = 10,800/36
Lastly simplify. Which will be, n = 300.
so my answer is 108 is 36% of 300.
1. Take the percentage (36%) and change it to a decimal (.36)
2. Set up the equation.
.36x = 108
3. Divide both sides by .36
x = 300
Answer this for me!!
Answers
Answer:
A = 48 cm²
Step-by-step explanation:
This figure can be thought of as a rectangle 4 cm by 8 cm in the middle and one triangle on the left side and a congruent triangle on the right side. The triangles have 8 cm bas and 2 cm height.
total area = area of rectangle + 2 × area of triangle
total area = (4 cm)(8 cm) + 2 × (8 cm)(2 cm)/2
total area = 48 cm²
PLS HELP
What is the sum of -2x³ + x-3 and x³ - 3x - 4? Show your work.
Is the sum of -2x³ + x-3 and x³ - 3x - 4 equal to the sum of x³ - 3x - 4 and -2x³ + x-3? Explain your answer.
Answers
Tickets to a movie cost $9.25 each. What is the total cost for 6 tickets?
Answers
hope this helps
A pet store specializes in exotic fish. The graph shows a proportional relationship between the number of fish and the number of fish tanks at the store. Fish 65 52 39 26 13 0 1 2 3 4 Fish Tanks 5 6 X The constant of proportionality shown in the graph in terms of the number of fish per fish tank is
Answers
Answer:
13
Step-by-step explanation:
if there are 5 tanks and 65 fish in all the tanks together, you take 65 and divide it by 5 to get 13 fish in each tank
: )
Answer:
10.84.
Step-by-step explanation:
To find the constant of proportionality, we can use the fact that the relationship between the number of fish and fish tanks is proportional. This means that the ratio of the number of fish to the number of fish tanks is always the same.
From the graph, we can see that when there are 65 fish, there are 5 fish tanks. When there are 52 fish, there are 6 fish tanks. Let's use these two data points to find the constant of proportionality:
The constant of proportionality = (Number of fish) / (Number of fish tanks)
For the first data point, we have:
65 / 5 = 13
For the second data point, we have:
52 / 6 = 8.67
We can see that these two values are not the same, which means that the relationship between the number of fish and the number of fish tanks is not exactly proportional. However, we can still find an average constant of proportionality between these two values:
(13 + 8.67) / 2 = 10.84
So the constant of proportionality, in terms of the number of fish per fish tank, is approximately 10.84.
Suppose you bought a house for $467,520 and the value has increased by 19%. What is the new value of the house in dollars? Round your answer to the nearest hundredth.
please explain
Answers
Answer:
19÷100×467520=88828.8
88828.8+467520=556348.8
Nearest hundred=$556300
PLEASE HELP ME :DDDDDDDDDDDDDD
Answers
Answer:
Step-by-step explanation:
To find the area of a rectangle, you multiply the length by the height.
First, we need to convert the mixed numbers to improper fractions:
Length: 6 3/4 ft = (6 x 4 + 3) / 4 ft = 27 / 4 ft
Height: 2 2/12 ft = (2 x 12 + 2) / 12 ft = 26 / 12 ft = 13 / 6 ft
Now we can calculate the area:
Area = Length x Height
Area = (27 / 4) ft x (13 / 6) ft
Area = 351 / 24 ft^2
Area = 14 11/24 ft^2
Therefore, the area of the rectangle is 14 11/24 square feet.
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
Step-by-step explanation:
its prolly c