A hybrid car can go 400 miles on 8 gallons of gas. How far can the car take you with 1 gallon of gas?
Step-by-step explanation:
In 8 gallons of gas the car can go = 400 miles
In 1 gallon of gas the car can go = 400/8
In 1 gallon of gas the car can go = 50 miles
How far can the car take you with 1 gallon of gas? With 1 gallon of gas, the car can go 50 miles.
Step by Step calculations:
We know that
With 8 gallons of gas, the car can go 400 miles
Then,
With 1 gallon of gas, the car can go
= 400 / 8
= 50 miles
Therefore, with 1 gallon of gas, the car can go 50 miles.
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Suppose f(x) = x. Find the graph of f(x) - 5
Answer:
it's the graph that touches the y-axis in the point (0, -5), and the x-axis in the point (5, 0)
will give brainlyist
What is the quotient of 1 and 7 over 8 ÷ 3 over 8?
Answer:
5
Step-by-step explanation:
[tex]1\frac{7}{8}\div\frac{3}{8}[/tex]
[tex]=\frac{15}{8}\div \frac{3}{8}[/tex]
[tex]=\frac{15\times \:8}{8\times \:3}[/tex]
[tex]=\frac{15}{3}[/tex]
[tex]=5[/tex]
The quotient is 5.
[tex]\large\underline{\sf{Solution-}}[/tex]
[tex]\textsf{Given that:}\\[/tex]
[tex] \sf1 \dfrac{7}{8} \div \dfrac{3}{8} \\ [/tex]
[tex] \sf \longmapsto \: \dfrac{7 \times 8}{8} \div \frac{3}{8} \\ [/tex]
[tex] \sf \longmapsto \: \dfrac{15}{8} \div \dfrac{3}{8} \\ [/tex]
[tex] \sf \longmapsto \: \dfrac{ \dfrac{15}{8} }{ \dfrac{3}{8} } \\ [/tex]
[tex] \sf \longmapsto \: \dfrac{ \dfrac{15}{8} \times \frac{8}{3} }{ \dfrac{ \cancel \green3}{ \cancel \red8} \times \frac{ \cancel \red8}{ \cancel \green3} } \\ [/tex]
[tex]\sf \longmapsto \dfrac{ \dfrac{15}{8} \times \frac{8}{3} }{1} \\ [/tex]
[tex]\sf \longmapsto \: \dfrac{15}{ \cancel \red8} \times \dfrac{ \cancel \red8}{3} \\ [/tex]
[tex]\sf \longmapsto \: \dfrac{15}{3} \\ [/tex]
[tex]\sf\longmapsto \:\dfrac{15÷3}{3÷3}\\[/tex]
[tex]\sf\longmapsto \:\dfrac{5}{1}\\[/tex]
[tex]\sf\longmapsto \:\boxed{5} \: Answer.\\[/tex]
also read similar questions: Multiply. Write your answer as a fraction in simplest form...
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if x+y=10 and x-y =6 what is the answer of x cube - y cube fast
Answer:
x+y=10 which means that x=10-y
Replace 10-y in the other equation which gives you:
10-y-y=6
10-2y=6
-2y=-4
y=2
Replace 2 in any of the 2 equations same answer for both:
x+y=10
x+2=10
x=8
So,
[tex] {x}^{3} - y^{3} [/tex]
[tex] = {8}^{3} - {2}^{3} [/tex]
=512-8
=504
Hope this helps!
Question 7
1 pts
Select all sets of points that have a slope m = 2.
(4, 2) and (2,-2)
O (2, -3) and (1,5)
(15, 12) and (5, -8)
(6,5) and (-1,-9)
(2, -3) and (-3,-2)
Answer:
(4,2) and (2,-2)
Step-by-step explanation:
using m=y2-y1/x2-x1
m= -2-2/2-4=-4/-2
therefore,
m=2
how do you write 100 s a fraction, mixed number, or whole number
Adam is planning a pool party to celebrate the last day of school. He wants to give out beach towels to his guests as party favors. Adam ordered 14 beach towels from Sunshine Party Supply. Since this was a bulk order, Sunshine Party Supply reduced the price of each towel by $3.25. Adam paid $105 in all. How much does Sunshine Party Supply normally charge for a beach towel?
Answer:
10.75
Step-by-step explanation:
first step is to find how much adam paid for each towel
so, the equation used will be x/y=c
where x is total cost, y is number of products bought, and c equals individual cost (with discount)
we end up with 105/14= 7.5$ per towel.
and to close out, we add the given discount of 3.25 to the discounted price of 7.5
which brings the usual price per towel to 10.25
Answer:
Step-by-step explanation:
given a1 = -1 and a4 = -8 what is a10
Answer:
The nth term of the sequence is given. Find the first 4 terms, a10, and a15 2 What is the first term? a1 = (Type an integer or a simplified fraction.) What is the second term? a2 = (Type an integer or a simplified fraction.) What is the third term? a,-| (Type an integer or a simplified fraction.) What is the fourth term? a4(Type an integer or a simplified fraction.) What is the tenth term❤
yeah I didn't pay attention today
Three children each contributed toward a birthday present for their mother. The oldest contributed three times as much as the youngest, while the second oldest contributed 50 cents more than the youngest. If the present costs $10.50, how much did each contribute?
Answer:
Youngest child: $2
oldest child: $6
Second oldest: $2.50
Step-by-step explanation:
Youngest child= x
oldest child= 3x
Second oldest: .50+x
x+3x+.50+x=10.5
5x+.50=10.5
- .50= - .50
5x=10
divided both numbers by 5 and x is equal to 2. So, the youngest child is $2 and you add .50, which is $2.50, and thats for the second child. Last, you do 2 times 3 equals $6 which is the oldest child.
The youngest contributed $1.90, the oldest contributed $5.27, and the second oldest contributed $2.85.
Three children each contributing to their mother's birthday present. The eldest gave three times more than the youngest, while the second oldest contributed 50 cents more. If the gift costs $10.50 which is given in the question.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
Let the youngest sibling contribute the amount of x dollars
As per the given information,
3x + 0.50 x + x + x = 10.50
Apply the addition operation,
4.50x = 10.50
x = 10.50 / 6.50
Apply the division operation to get
x = 1.90
So the youngest sibling contributed = $1.90
The oldest contributed 1.90 × 3 = $5.27
And the second oldest contributed (1.50)1.90= $2.85
Therefore, the youngest contributed $1.90, the oldest contributed $5.27, and the second oldest contributed $2.85.
Learn more about Arithmetic operations here:
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56:32=k:28 what is k?
Therefore, k = 49.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
24) If the simple interest on $4,000 for 3 years
is $960, then what is the interest rate?
Answer:
8% annual
Step-by-step explanation:
first find the rate of 1 year. 960/3 = 320.
then find what % of 4,000, 320 is.
8%
Please help! With steps included :)
Answer:
Top question: -7°
Bottom question : 18°
Step-by-step explanation:
Top question:
The base angles of am isosceles triangle are congruent:
x + 46 = 39 because the base angles of an isosceles triangle are congruent
x + 46° = 39°
x = -7°
Bottom question
The missing angle is 3x because the base angles are congruent
To find the value of x, we must add all the angles inside the triangle, and find the value of x that makes it equal to 180°
3x + 3x + 4x = 180°
10x = 180°
x = 18°
Sorry for the late post!
-Chetan K
The school purchased 35 tickets for the ballet. Adult tickets were $10, and student tickets were $7. The total cost was $266.
If x represents the number of adult tickets purchased, and y represents the number of student tickets purchased, which system of equations represents this situation?
Answer:
Not too sure, but maybe this is what you need.
(Students = S, Adults = A) So, Ax + Sy = 266?
Or
x10 + y7 = $266
Step-by-step explanation:
I think the second one is the most accurate one, ignore the first equation. T^T
Work out the size of angle x.
Answer:
65°
Step-by-step explanation:
x=180°-40°-75°
x=65°
Which angle is the largest?
Answer:
the 4th choice
Step-by-step explanation:
hope this helps
MAy I get braineist pls????????
34x+24x^2=35+57y
Solve for x
1) Move all terms to one side.
[tex]34x+24x^{2} -35-57y=0[/tex]
2) Use Quadratic Formula.
[tex]x=\frac{-34+2\sqrt{1368y+1129} }{48} ,\frac{-34-2\sqrt{1368y+1129} }{48}[/tex]
3) Simplify solutions.
[tex]x=-\frac{17-\sqrt{1368y+1129} }{24} ,-\frac{17+\sqrt{1368y+1129} }{24}[/tex]
PLEASE HELP!! :( I will mark brainliest!
Answer:
14 give me that badge :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
14 faces
Plz help me! 25 POINTS!
Answer:
g(x) = 24(2^(x-1)) +16
Step-by-step explanation:
A function is stretched vertically by a factor of 'a' by multiplying by 'a'.
g(x) = 4·f(x) = 4(6(2^(x-1) +4)
g(x) = 24(2^(x-1)) +16
An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, two methods to collect data are proposed.
Method A: 10 similar police cars owned by a city are selected. After the cars are filled with a fresh tank of gasoline, researchers randomly select 10 of the cars to receive the additive, while the other 10 do not receive the additive. The gas mileage for each car is recorded in miles per gallon.
Method B: 20 customers at an auto-parts store receive free coupons for the additive and are asked to use it with their next fresh tank of gasoline. The customers then report their gas mileage with the fuel additive.
Which method describes an experiment?
Method B is an experiment because every car receives the additive.
Method A is an experiment because the additive is used with a new tank of gasoline.
Both methods are experiments because the additive is used in a new tank of gas in both methods.
Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.
Answer:
Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.
Hit brainliest if this was helpful :)
Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.
What is experiment?
An experiment is a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried. Experiments provide insight into cause-and-effect by demonstrating what outcome occurs when a particular factor is manipulated.
What is mileage?
Mileage tells us how many number of miles travelled or covered.
According to questions, an auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, two methods to collect data are proposed.
In Method A: 10 similar police cars owned by a city are selected. After the cars are filled with a fresh tank of gasoline, researchers randomly select 10 of the cars to receive the additive, while the other 10 do not receive the additive. The gas mileage for each car is recorded in miles per gallon.
In Method B: 20 customers at an auto-parts store receive free coupons for the additive and are asked to use it with their next fresh tank of gasoline. The customers then report their gas mileage with the fuel additive.
Based on the questions, Method A is an experiment because random assignment determines which cars receive the additive and which cars do not. Method B does not report the mileage before fuel additive.
Hence, we can conclude that Method A is an experiment because random assignment determines which cars receive the additive and which cars do not.
Learn more about experiment here:
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Does (–2, –2) make the equation y = x true?
Answer:
Yes.
Step-by-step explanation:
According to the given co-ordinate.
(x,y) = (-2,-2)
i.e. x = -2, y = -2
So, We can say that x = y = -2.
Hence, the given co-ordinate makes the equation y = x true.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Select the correct answer.
Simplify the following expression.
During a storm the temperature drops from 90oF to 75oF. How much did the temperature drop in oC? (Round your answer to the nearest whole number. ).
A car is 12 feet long. Levi makes a scale model of the car at 1:8 of its actual size. How long is the model
Answer:
1.5 feet
Step-by-step explanation:
Answer:
1.5 feet or 3/2 feet
Step-by-step explanation:
Andrew washed 32 car windows in 4 hours. At this rate, how many windows did he wash in 8 hours?
8 hours is twice as many as 4:
Multiply the number of windows in 4 hours by 2:
32 x 2 = 64 windows in 8 hours
Answer:
64
Step-by-step explanation:
32÷4=8 8 car windows per hour. 8×8=64
Employee: "We have a promotion that will allow us to beat our competitors' prices and save you money. Did you notice that our competitor is selling that same item for $150.00?
Customer: "Yes"
Employee: "Our price for that item is $120.00, for a savings of __________."10% 15% 20% 30% 40%
Answer:
20%
Step-by-step explanation:
120 / 150 = 0.8 or 80%, so the difference is 20%
The discount percentage is 20%.
Given that the competitor is selling an item for $ 150.00, while the price for that item in the store is $ 120.00, the following calculation must be performed to determine the discount percentage:
150 = 100 120 = X 120 x 100/150 = X 80 = X 100 - 80 = X 20 = X
Therefore, the discount percentage is 20%.
Learn more about maths in https://brainly.com/question/26075432
PLEASE HELP ASAP OF YOU DO FOD BLESS YOU BECAUSE IT WILL RAISE MY GRADE
Answer:
8
Step-by-step explanation:
The basic form of the equation is y=mx+b. The b stands for the y-intercept. In this equation, 8 is b due to its position in the equation, and -8/7 is m. Since we know that 8 is b and that b is the y-intercept, we know that 8 is the y-intercept.
Hope this helps!
Could someone answer this in y=mx+b form please i cannot figure this out 2x-y=4
Answer:
y = 2x - 4.
Step-by-step explanation:
2x - y = 4
Subtract 2x from both sides
- y = -2x + 4
Multiply both sides by -1:
y = 2x - 4.
Answer:
y=-2x+4
Step-by-step explanation:
2x-y=4 - move the 2x to the right side by subtracting 2x from both sides
2x - y = 4
-2x -2x =
-y=-2x+4 - negative variable turns into y, since the negative isn't relevant
y=-2x+4
A tree trunk can be thought of as a cylinder with a height of 1.7 M if the tree trunk has a diameter of 60 cm what is its volume in metres cubed give your answer to 2 decimal place.
The formula for the volume of a cylinder is pi * radius squared * height, or πr^2h.
To find the radius of the cylinder, take the given diameter (60 cm) and divide it by 2. 60 / 2 = 30 cm.
Now we need to either find the height in centimeters or find the radius in meters. Because a centimeter is 1/100 of a meter, we multiply the radius by 100 to get the radius in meters.
We also must square the radius. So 30 cm multiplied by itself equals 900 cm.
Radius: 900 / 100 = 9 m
We have to square the radius before plugging it into the equation because it would mess up the numbers if we didn't (0.3 m squared is 0.09 m, which is very small).
Now we can plug these values into the formula for the volume of a cylinder.
π * r^2 * h = π * 9 m * 1.7 m = ~48.066 cubic meters
Rounded to two decimal places is 48.07 cubic meters.
The volume of the tree trunk is about 48.07 cubic meters.
It takes Amy twice as long to deliver papers as it does Nancy. How long would it take each girl to deliver the papers by herself if they can deliver the papers together in 36 minutes?
Answer:
so if it takes twice all long for amy as nacy that means
Amy takes 2/3 or 0.6(aprox)
Nacy takes 1/3 or 0.3(aprox)
Amy=24
Nacy=12
Hope This Helps!!!