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
A point at (-7, -6) is reflected over the x-axis. What is the distance between the point and its reflection?
A. 6 units
B. 14 units
C. 12 units
D. 7 units
Answers
Answer quick for 10 points!
Answers
Answer:
I think D? sry if its wrong tho :/
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Rewrite each expression using the distributive property.then combine like terms if possible
-8(x+4)+5(x+4)
Answers
Answer:
-3(x + 4)
Step-by-step explanation:
1. First, combine the like terms:
-8(x + 4) + 5(x + 4)
-3(x + 4)
2. Next, distribute:
-3(x + 4)
-3x + 12
3. Finally, use the common factor:
-3x + 12
-3(x + 4)
Answer: -3(x + 4)
Step-by-step explanation:
Find the volume of the triangular prism; do not round.
Answers
Answer:
[tex]\boxed{\mathtt{Volume=33.55m^{3}}}[/tex]
Step-by-step explanation:
[tex]\textsf{For this problem, we are asked to find the Volume of a Triangular Prism.}[/tex]
[tex]\large\underline{\textsf{What is Volume?}}[/tex]
[tex]\textsf{Volume is the amount of space a figure occupies. Volume is measured in Cubic units.}[/tex]
[tex]\large\underline{\textsf{We are Given;}}[/tex]
[tex]\textsf{The Height is 6.1m. Keep in mind that the Height is the Perpendicular Distance}[/tex]
[tex]\textsf{between 2 bases.}[/tex]
[tex]\textsf{The base is; (4.4 x 2.5).}[/tex]
[tex]\textsf{The Height of the Triangle is 2.5m.}[/tex]
[tex]\large\underline{\textsf{Necessary Formulas;}}[/tex]
[tex]\mathtt{Volume=(Base) \times Height}[/tex]
[tex]\mathtt{Area = \frac{1}{2} (Base \times Height)}[/tex]
[tex]\large\underline{\textsf{For this Problem;}}[/tex]
[tex]\mathtt{Volume=(Triangles' \ Area) \times Height}[/tex]
[tex]\large\underline{\textsf{The area of a Triangle is;}}[/tex]
[tex]\mathtt{Area = \frac{1}{2} (Base \times Height)}[/tex]
[tex]\textsf{Find the area of the base first.}[/tex]
[tex]\large\underline{\textsf{Substitute;}}[/tex]
[tex]\mathtt{Area = \frac{1}{2} (4.4 \times 2.5)}[/tex]
[tex]\boxed{\mathtt{Area = 5.5m^{2}.}}[/tex]
[tex]\textsf{We know the Base, now let's find the volume of the figure.}[/tex]
[tex]\large\underline{\textsf{Substitute;}}[/tex]
[tex]\mathtt{Volume=5.5 \times 6.1}[/tex]
[tex]\boxed{\mathtt{Volume=33.55m^{3}}}[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Find the \boxed{\bf volume} of a triangular prism is:}[/tex]
[tex]\mathsf{\dfrac{1}{2}(\boxed{\bf b}ase\times\boxed{\bf h}eight\times\boxed{\bf l}ength) = \boxed{\bf v}olume}[/tex]
[tex]\huge\textsf{Your \boxed{\bf equation} should look like:}[/tex]
[tex]\mathsf{volume = \dfrac{1}{2}(4.4\ m \times 2.5\ m\times 6.1\ m)}[/tex]
[tex]\huge\textsf{\boxed{\bf Step-by-step} explanation can be:}[/tex]
[tex]\mathsf{volume = \dfrac{1}{2}(4.4\ m \times 2.5\ m\times 6.1\ m)}[/tex]
[tex]\mathsf{volume = \dfrac{1}{2}\times 4.4\ m \times 2.5\ m\times 6.1\ m}[/tex]
[tex]\mathsf{volume = 0.5\times 4.4\ m \times 2.5\ m\times 6.1\ m}[/tex]
[tex]\mathsf{volume = 2.2\ m\times 15.25\ m}[/tex]
[tex]\mathsf{volume = 33.55}[/tex]
[tex]\huge\textsf{Therefore your \boxed{\bf answer} should be:}[/tex]
[tex]\huge\boxed{\mathsf{volume = 33.55m^2}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Please help me I want this done today.
Answers
B is correct. B is rights because at the end of the equation you need to divide by 1 so it all equals out.
Answer:
Choose Choice B
Step-by-step explanation:
45-19 is 26.
All of the other equations don't make sense except B
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 figure below is dilated with the center of dilation at the origin and a scale factor of
1/2 . What are the coordinates of the image of point E after this transformation?
Answers
Answer:
-6 ; 3
Step-by-step explanation:
identify the errors
(Select all that apply.)
Calculation errors when distributing -1
Calculation errors when distributing h2
Calculation errors when distributing 9h
Calculation errors when combining h2 terms
Calculation errors when combining h terms
Answers
Answer:
1 and 3
Step-by-step explanation:
Answer:
i think i and 3 prolly :0
Step-by-step explanation:
CAN YOU GUYS HELP ME PLESE TYYYY!!!
Answers
Answer:
3:4
Is the required answer
Find the measure of ∠YOZ by answering the questions.
1. Find the measure of ∠WOV. Which angle relationship did you use? (3 points)
2. Now find the measure of ∠YOZ. Which angle relationship did you use? (3 points)
3. Check your answer by using another strategy to find the measure of ∠YOZ. Describe your strategy, and show that it gives the same measure for ∠YOZ. (4 points)
Answers
Answer:1. The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)
2. The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles
3. Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°
Step-by-step explanation:
1. Since a complementary angle would equal 90°, simply subtract 30° from 90° resulting in 60°.
2. Because vertical angles are congruent and (∠WOV, and ∠YOZ) are a pair of them, they equal the same as each other so they're both 60°.
3. You can make any equation with x included as long as it equals 60° mine was just an example you can make your own like 10x+10=60 or 4x+20=60. Also to create your equation you also need to use the angle fact of the vertical angles
You pick a card at random What is P(factor of 48)?
Answers
Answer:
48 = {1,2,3,6,8,48.}
Step-by-step explanation:
These are the factors if 48. if it's correct please let me know.
The population of a city decreases by 1.7% per year. If this year's population is 192,000, what will next year's population be, to the nearest individual?
Answers
Answer: 188,736
Step-by-step explanation:
The original amount is 192,000. Every year, the population decreases by 1.7%, which means that the population is 98.3% of last year's.
0.983 * 192,000 = 188,736
next year's population = 192,000 x (1 - 0.017) = 188,736
Rounded to the nearest individual, next year's population will be 188,736.
Please help me ! i need this done now!
Answers
Answer is 10 (B)
what are these fractions in their simplest forms? (pic below )
Answers
Answer:
SEE BELOW.
Step-by-step explanation:
1) 5/40
gcf = 5
5 ÷ 5 / 40 ÷ 5
= 1/8
2) 2/12
1/6
3) 3/9
= 1/3
4) 4/36
1/9
5) 6/40
3/20
6) 7/49
1/7
7) 6/50
3/25
8) 8/12
4/6
2/3
9) 9/90
1/10
10) 14/32
7/16
11) 25/65
5/13
12) 18/64
9/32
13) 24/54
4/9
14) 8/60
4/30
2/15
15) 22/34
11/17
16) 35/84
5/12
17) 48/104
6/13
18) 16/128
1/8
19)36/108
= 1/3
20) 38/152
1/4
2-.1666
3.333333
4-.11111
5-.15
6-.142857
7-.12
8-.666666
9-.1
10-.43375
11-.3846
12-.28125
13-.44444444
14-.133333
15-.647059
16-.4166666
17-.4615
18-.125
19-.3333333
20-.25
I think it's like that.
100 POINTS HELP PLEASE IM DESPERATE !!!!!!!!!!!!!!!!!!!!
If AB¯¯¯¯¯¯¯¯
is translated right 5
units and down 2
units, what are the coordinates of A′,
the image of point A?
Line Segment A B with coordinates A negative 5, 2 & B negative 2, 6.
Answers
PLEASE HURRY IM RUNNING LATE WITH THIS!,
Answers
Hope this help!!
Find the surface area of the figure below. Round your answer to the nearest whole number.
Answers
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.
The number of hours, y, it takes to drive from town P to town Q is inversely proportional to the average speed of a car, x miles per hour. It takes Jeremiah 3 1/2 hours to drive from town P to town Q at an average speed of 60 miles per hour on a particular day. How long will it take Jeremiah to travel from Town P to Town Q if his average driving speed is 70 miles per hour instead?
Answers
Answer: up to 120 pieces
Step-by-step explanation:
Can someone please help me
Answers
the formula for rate of change is
(Y2 - Y1)/(X2-X1).
Plug in any 2 random coordinates.
(6-4)/(5-4)
2/1
2
Identify the least value, first quartile, median, third quartile, and greatest value of the data.
5, 1, 4, 0, 9, 0, −8, 5, 2, 4, −1, 10, 7, −5
Answers
Answer: 10 is the greatest and -8 is the least
Step-by-step explanation:
10 is the biggest number and even though -8 is a big number when you have it in the "-" the bigger the number is the less they are
Choose ALL correct answers.
Which of the following tables are non-linear?
Answers
help ty..:)))))))))............................................
Answers
Answer:
3 times more
Step-by-step explanation:
mangos: m = 108
portugals: p
oranges: o = 3p
108 + p + 3p = 540
108 + 4p = 540
4p = 540-108 = 432
p = 432/4 = 108
o = 3p = 3(108) = 324
324/108 = 3 there are 3 times more oranges than portugals
Answer:
1620
Step-by-step explanation:
540 X 3 = 1620
PLEASE HELP ASAP!!! 100 POINTS AND BRAINLY!!!
Answers
If p is the pounds bought we want...
8p ≥ 40
p ≥ 5
A hollow ball is made of rubber that is 2 centimeters thick. The ball has a radius to the outside surface of 6 centimeters.
What is the approximate volume of rubber used to make the ball?
Use 3.14 for pi.
Responses
33.5 cm³
33.5 cm³
267.9 cm³
267.9 cm³
636.4 cm³
636.4 cm³
904.3 cm³
Answers
Answer:
636.4 cm³
Step-by-step explanation:
can someone pls help
Answers
Step-by-step explanation:
A triangle has its interior angle sum as 180°
[tex]{ \tt{ \angle R + \angle S + \angle T = 180 \degree}}[/tex]
[tex]{ \colorbox{silver}{input \: angles}} \\ \\ { \tt{31 \degree + (x + 4) \degree + (3x + 9) \degree = 180 \degree}} \\ \\ { \tt{44 + 4x = 180 \degree}} \\ \\ { \tt{4x = 136}} \\ \\ { \tt{x = 34}} \\ \\ { \colorbox{silver}{for \:R }} \\ \\ { \tt{ m\angle S =x + 4 = 34 + 4}} \\ \\ { \boxed{ \tt{m \angle S = 38 \degree}}} \\ \\ { \colorbox{silver}{for \:T }} \\ \\ { \tt{m \angle T = 3x + 9 = (3 \times 34) + 9}} \\ \\ { \tt{m \angle T = 111 \degree}}[/tex]
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.
What is the value of x in this triangle?
Enter your answer in the box.
x =
Answers
Answer:47
Step-by-step explanation:
x=180-(102+31)
X=47
X=180-(102+31)
X=47
**URGENT**
Bobby has $5b dollars in his pocket. He goes to the mall and spends $23b on a new shirt, $16 on a hat, and $8 on lunch. How much money does Bobby have left?
I NEED the expression and the answer
Answers
Answer:this question does not make sense to fix it and ask again
Step-by-step explanation:
1.) 25 - 3x = 88
2.) -11 = 7 - x
3.) 95 = -4 + 33x
Answers
Answer: hope this helps ♡
1.) x = -21
2.) x = 18
3.) x = 3
Step-by-step explanation:
(minus&minus = plus) (minus&plus = minus) (plus&minus = minus)
1.) 25 - 3x = 88
25 - 25 - 3x = 88 - 25
-3x = 63
-3x ÷ 3 = 63 ÷ 3
-x = 21 → x = -21
2.) -11 = 7 - x
-11 - 7 = 7 -7 -x
-18 = -x
18 = x → x = 18
3.) 95 = -4 + 33x
95 + 4 = -4 + 4 + 33x
99 = 33x
99 ÷ 33 = 33x ÷ 33
3 = x → x = 3
[tex] \text{1 ] 25 - 3x = 88 }[/tex]
[tex] \rm{↣25 - 3x = 88} \\ \rm↣- 3x= 88 - 25 \\ \rm↣- 3x = 63 \\ \rm↣x = \cancel \frac{63}{ - 3} \\ \underline{ \underline{\rm ↣\purple{ \: x = -21 \: }}}[/tex]
[tex] \: [/tex]
_________
[tex] \text{2 ] -11 = 7 - x }[/tex]
[tex] \rm \: ↣-11 = 7 - x \\ \rm↣ -11 - 7 = -x \\ \rm↣ \cancel- 18 = \cancel -x\\\underline{ \underline{ \rm↣ \pink{x = 18}}}[/tex]
[tex] \: [/tex]
_________
[tex] \text { 3 ] 95 = -4 + 33x }[/tex]
[tex] \rm \: ↣ 95 = -4 + 33x \\ \rm↣ 95 + 4 = 33x \\ \rm↣ 99 = 33x \\ \rm ↣ \cancel \frac{99}{33} = x \\ \rm ↣3 = x \\ \underline{ \underline{\rm \color{hotpink}↣x = 3}}[/tex]
[tex] \: [/tex]
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hope it helps:)