Answer:
3.5 gallons
Step-by-step explanation:
140=40g
140/40=g
a) The car used 3.5 gallons of gas
b) The inverse function is g=m/40
What is an inverse function?In mathematics, an inverse is a function that serves to “undo” another function. That is, if f(x) produces y, then putting y into the inverse of f(x) produces the output. A function that has an inverse is called invertible and the inverse is denoted by f⁻¹
Given here, distance = 140 and equation m=40g then using the equation we get
140 = 40 ×g
g= 3.5 gallons
and the inverse function is given by g = m/40
Hence the car uses 3.5 gallons and we found the inverse function is g=40/m
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Katie's deli can make 60 sandwiches in 4 hours. Stacy's can make double that in the same amount of time. How many sandwiches can Stacy's deli make in 6 hours
Answer:
Step-by-step explanation:
Answer: 150 sandwhiches
Step-by-step explanation: 60 sandwhiches in 4 hours. 15 sandwhiches per hour so you add 30 to the doulbe of 60 which is 120 then you add 30
Use the scale factor to find the area of the enlarged figure. Explain your steps.
A small rectangle has a length of 8 and width of 4. A large rectangle has a length of 25.6 and width of a.
9514 1404 393
Answer:
327.68 units^2
Step-by-step explanation:
The area of the small figure is ...
area = length · width
area = (8)(4) = 32 . . . . square units
The scale factor is ...
scale factor = large length / small length = 25.6/8 = 3.2
The area of the larger rectangle will be the small rectangle area multiplied by the square of the scale factor:
(32 units^2)(3.2^2) = 327.68 units^2
_____
Additional comment
We note the width is half the length, so we could figure the larger rectangle's width at 25.6/2 = 12.8 units. Then its area would be
length · width = (25.6 units)(12.8 units) = 327.68 units^2
This seems easier to me, but is not the method required by the problem statement.
Answer:
The scale factor of the enlargement is 3.2. Square the scale factor to get 10.24. Find the area of the original figure, which is 32. Multiply 32 and 10.24 to get the area of the enlarged figure, which is 327.68.
Step-by-step explanation:
This is the sample response but I would use the other pearsons answer because it is NOT the sample response.
Have a great day!
Use cubic regression to find a
function that fits the following
points.
(1,-9), (2,-15), (3,-29),(-1,3)
The cubic regression equation that fits the points (1,-9), (2,-15), (3,-29),(-1,3) is given as follows:
f(x) = -x³ + 2x² - 5x - 5.
How to find the equation of regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
In this problem, we have that:
The values of x are: 1, 2, 3, -1.The values of y are: -9, -15, -29, 3.Using the calculator, the equation is given by:
f(x) = -x³ + 2x² - 5x - 5.
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Please help.. Please. Is this a positive trend or negative trend or no trend
Answer:
it's a no trend cause its literally nothing but dots
Bo, Ryan and Zach walked 1/4 miles from school to Bo’s house. They walked 4/6 miles from Bo's House to the park what is the total distance the boys walk?
Answer: They walked 11/12 miles
Step-by-step explanation:
1/4 + 4/6
3/12 + 8/12
11/12
PLS ANSWER ASAP AND ILL MARK BRAINLIEST!
What is the volume of a cone with a radius of 3 feet and a height of 6 feet? Use 3.14 for pi. Round your answer to the nearest hundredth.
18.31 ft3
40.25 ft3
56.52 ft3
60.34 ft3
Answer:
56.52ft³ is the answer hope this helps
Answer:
3rd option hope this helps.
Step-by-step explanation:
Drag the values from the problem and fill in the blanks to create and solve a system of equations.
Overview
KM
First
<
Previous
>
Skup
Huck has a handful of coins. There are 13 total
coins and he only has nickles and dimes. He knows
that he has $1.05 in total money. How many dimes
and nickles does he have?
x + y = |(13
Let x = # of nickels
Let y = # of dimes
y = ||1.05
Equation for the
number of coins
Remember
X
Give up
X +
Equation for the
value of the coins
Submit
X =
y =
Answer: uhhh
Step-by-step explanation:
Graph 16x−4y=2.Please answer I will make you the brainlist and rate you 5 stars if good.And report if bad.
Answer:
First one is the graph second one is the equation
Step-by-step explanation:
Hope this helps :)
Answer:
Step-by-step explanation:
as graphed
If there are 34 successes in a sample with a size of 40, what is the sample
proportion?
Answer:
Step-by-step explanation:
0.85
Answer:
.85
Step-by-step explanation:
Help please I’m begging you
Answer:
subtract to eliminate y
Answer:
B
Step-by-step explanation:
add to eliminate y
Match the following words to the correct definition:
_____ translation ______ rotation ______reflection _____dilation
A. Flip B. Enlarge/reduce C. Turn D. Slide
Answer:
A. Flip ---> reflection
B. Enlarge/reduce ---> dilation
C. Turn ----> rotation
D. Slide ----> translation
Step-by-step explanation:
D and translation
A and reflection
C and rotation
B and dilation
it just makes sense.
dilation means like if you stung by a bee and it starts to swell but it can also be used as a way to say something shrunk.
reflection means yourself flipped
rotation means like your turning around or turning something around
i don't know if translation has anything to do with slide but it was the last option and all the others make sense.
1) A recipe for a fruit drink calls for 2 cups of fruit juice for every 5 cups of water. Look at each drink mix. Does each drink mix
follow the recipe?
Yes
No
A 4 cups of fruit juice and 10 cups of water
Yes
No
B 0.5 cup of fruit juice and 1 cup of water
Yes
No
с
1 cup of fruit juice and 2.5 cups of water
Yes
No
D
7 cups of fruit juice and 17 cups of water
Answer:
yes, no , yes, no in order
Step-by-step explanation:
please help i m clusless
Answer:
-25+? = -5
cross -5 over and it the negative sign would turn to postive sign
-25+(5)=?
Therefore answer = 20
To confirm this answer
-25+20= -5
PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
What is the circumference of this circle?
Answer:
37.7
Step-by-step explanation:
C = 2 pi r
C= πd
12× 22/7
= 264/7
= 37.71cm
The number of dimes in Kiara's collection is 13 more than 5 times the
number of quarters in her collection. Kiara has 78 dimes in her
collection. Which equation could be used to find the number of
quarters in Kiara's collection?
Answer: I don’t think I understand can you set this up differently so I can answer this please
Step-by-step explanation:
The y intercept is at the point '?'
The roots are x = ? and x = ?
The turning point is at ( ? , ? )
Answer:
See below.
Step-by-step explanation:
The y-intercept is the point where the line passes the y-axis. In this instance, that is at the point (0, 3).
The roots are the x-intercepts are the points where the line crosses the x-axis. In this instance, the roots are x = -3 and x = -1.
The turning point is the vertex of the equation. In this instance, the vertex is on the point (-2, -1).
Simplify.
3y - 4x + 6x - y
The simplified expression is???
Answer:
2y-4x+6x
=2y+2x
Step-by-step explanation:
Answer:
2x+2y
Step-by-step explanation:
Let's simplify step-by-step.
3y−4x+6x−y
=3y+−4x+6x+−y
Combine Like Terms:
=3y+−4x+6x+−y
=(−4x+6x)+(3y+−y)
=2x+2y
Now let's assume that you have a newer toilet that uses 6 L per flush, but you are considering upgrading to a dual-flush toilet. If you flush the toilet four times per day, but three of those times you could use the 3 L flush, how many liters of water would you save in 1 year
Answer: 3,285 Liters
Step-by-step explanation:
In the actual case, all your flushes consume 6 L of water.
You flush 4 times per day, then you consume 4 times 6 L per day, this is:
4*6L = 24 L per day.
And in one year there are 365 days, then in one year you consume:
365*24 L = 8,760 L
Now, if you upgrade the toilet, now per day you use:
one time 6 L and 3 times 3 L
Then in day, you use:
1*6 L + 3*3 L = 6L + 9L = 15L
And in the complete year, you will use 365 times that, which is:
365*15 L = 5,475 L
The amount of water that you would save is equal to the difference between the amount that you use in one year with no upgrade (8,760 L) and the amount that you would use in a year if you upgraded your toilet ( 5,475 L)
The difference is:
D = 8,760 L - 5,475 L = 3,285 L
This means that, in this situation, you would save 3,285 liters of water per year if you upgrade your toilet.
There are 300 students in a middle school,
150 students are fluent in a second language.
What percent of the students are fluent in a
second language?
The table below shows the number of tea bags needed to make different amounts of iced tea. What is the total number of quarts of iced tea that can be made with 24 tea bags?
Answer:
6
Step-by-step explanation:
Search it up.
For 24 Tea bags 6 quarts of iced tea that can be made.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
We have the Table,
With 8 tea bags, 2 Quartz of Iced Tea made.
As, there is proportionality between two values.
So, 16 / 4= 24 / x
4 = 24 / x
x = 24/4
x= 6
Hence, For 24 Tea bags 6 quarts of iced tea that can be made.
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three blocks are placed together as shown below. 3.8cm 8.7cm 9.4cm
3 1/8 divided by 1 2/3
Answer:
15/8 and mixed number is 1 7/8
Step-by-step explanation:
Answer:
1 7/8
Step-by-step explanation
The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If the population has doubled in 5 years, how long will it take to triple?
Answer:
[tex]t=7.85 years[/tex]
Step-by-step explanation:
We can write this rate as an ordinary differential equation.
[tex]\frac{dP}{dt}=aP[/tex]
Where a is proportional constant, P the population variable, and t the time.
[tex]\frac{dP}{P}=adt[/tex]
Integrating each side of the equation.
[tex]\int \frac{dP}{P}=\int adt[/tex]
[tex]ln(P)=at+c[/tex]
[tex]P=e^{at+c}[/tex]
[tex]P=e^{c}e^{at}=Ce^{at}[/tex]
To find C we need to use the initial condiction, it means evaluae P at t=0.
[tex]P_{0}=Ce^{0}=C[/tex]
[tex]P=P_{0}e^{at}[/tex]
Now, we use the sentence the population has doubled in 5 years.
[tex]2P_{0}=P_{0}e^{a5}[/tex]
We can find "a" in this condition.
[tex]2=e^{a5}[/tex]
[tex]ln(2)=a5[/tex]
[tex]a=\frac{ln(2)}{5}[/tex]
[tex]a=0.14[/tex]
Finally, let's find how long will it take to triple.
[tex]3P_{0}=P_{0}e^{0.14t}[/tex]
[tex]3=e^{0.14t}[/tex]
[tex]t=\frac{ln(3)}{0.14}[/tex]
[tex]t=7.85 years[/tex]
I hope it helps you!
22= 18x + 4 please help!!
Answer:
x=1
Step-by-step explanation:
22-18=4 18-18=/
18x1=18
22=18(1)+4
22-18(1)=4
Answer:
22=18x + 4
Step-by-step explanation:
collect like terms 22 and +4
+4 crosses equality sign and turns to -4
you get 22-4=18x
therefore 18x=18
cancel 18 in both sides x = 1
What is the area of this trapezoid enter your answer in the box
9514 1404 393
Answer:
336 cm^2
Step-by-step explanation:
The area of a trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
where b1 and b2 are the base lengths, and h is the height. Filling in the values shown gives ...
A = (1/2)(28 +14)(16) = (1/2)(42)(16) = 336 . . . . cm^2
Directions: Convert the following equations from standard form to slope-intercept form.
(10 points)
14. 4x + y = -1
15. 5x - 2y = 14
16. 10x - 2y = -6
17. 8x + y = 12
18. 6x - 10y = 20
Find whole numbers a,b,c so that
Answer:
Step-by-step explanation:
I can't give answer you by step to step cause I can't make any symbols through my computer.
What is the slope of the line y = 7x + 3
-?
1
7
А
B
7
3
8
8
3
Answer:
7 :)
Step-by-step explanation:
Lamar rented a truck for one day there was a base fee of 18.95 and there was an additional charge of 93 cents for each Miles driven. Lamar had to pay 154.73 when he returned the truck . For how many miles did he drive the truck
Answer:
146 miles
Step-by-step explanation:
Hope this helps!
Answer:
146 miles
Step-by-step explanation:
He payed 135.78 total for gas. Take that number, and divide it by .93 to find out how many miles he drove.
halp
A 43-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.
21.09 feet
24.20 feet
37.47 feet
49.34 feet
Answer:
37.46
Step-by-step explanation:
I think not sure tho