Answer: 7.5
Step-by-step explanation:
the tank is 15 gallons and you can get 13 percent ethanol or 69 percent ethanol, so you simply just get 7.5gallons of 69 percent and then 7.5 gallons of 13 percent
.69 divided by 15 is .046
.13 divided by 15 is .008
The amount of 69% percent ethanol fuel should you use so that your tank is 40 percent ethanol is equivalent to 4.35 gallons.
What is mixture?A mixture is a material made up of two or more different chemical substances which are not chemically bonded. A mixture is the physical combination of two or more substances in which the identities are retained and are mixed in the form of solutions, suspensions and colloids.Given is that a car has a 15 gallon tank and can run on fuel with added
ethanol. The fuel contains either 13 percent ethanol or 69 percent
ethanol.
The amount of 69% percent ethanol fuel should you use so that your tank is 40 percent ethanol is given by -
{x} = 69% of 15 - {40% of 15}
{x} = (69/100 x 15) - (40/100 x 15)
{x} = 10.35 - 6
{x} = 4.35
Therefore, the amount of 69% percent ethanol fuel should you use so that your tank is 40 percent ethanol is equivalent to 4.35 gallons.
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A 12 ft ladder reaches 9 ft up a wall.
What is the angle formed between the
ladder and the ground?
Answer:
Step-by-step explanation:
In Silvergrove, the library is due south of the courthouse and due west of the community swimming pool. If the distance between the library and the courthouse is 9 kilometers and the distance between the courthouse and the city pool is 10 kilometers, how far is the library from the community pool? If necessary, round to the nearest tenth.
The distance of the library from the community pool is given as 4.4 km
How to solve for the distanceWe have to solve this problem with the use of the Pythagoras theorem.
The formula is given as
a² = b² + c²
The total distance flown would be represented by a = 10 kilometer
the distance for the courthouse would be given as 9 kilometers
When we put these values in the formula we would have
10² = a² + 9²
100 = a² + 81
a² = 100 - 81
a² = 19
a = √19
a = 4.4 km
Hence the calculated distance is given a 4.4 km from the library to pool.
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lmjnhnlknlkjnlijknlkm
Answer:
Step-by-step explanation:
Plot four lines to connect the points in adjacent
quadrants. One is done for you.
Line
# 1 y= -2 (x-6)+1
10
# 2?
#3?
#4?
Answer:
[tex]\textsf{Line \#2}: \quad y=x-5[/tex]
[tex]\textsf{Line \#3}: \quad y=\dfrac{1}{4}(x-1)-4[/tex]
[tex]\textsf{Line \#4}: \quad y=-8x-29[/tex]
Step-by-step explanation:
Given points:
(-4, 3)(6, 1)(1, -4)(-3, -5)To find the equations for each of the lines:
Find the slope of the line by substituting two points on the line into the slope formula.Substitute the found slope and one of the points on the line into the point-slope formula and simplify.Line #2Points:
Let (x₁, y₁) = (6, 1)Let (x₂, y₂) = (1, -4)Find the slope:
[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{1-6}=\dfrac{-5}{-5}=1[/tex]
Substitute the found slope and one of the points into the point-slope formula:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-1=1(x-6)[/tex]
[tex]\implies y=(x-6)+1[/tex]
[tex]\implies y=x-5[/tex]
Line #3Points:
Let (x₁, y₁) = (1, -4)Let (x₂, y₂) = (-3, -5)Find the slope:
[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-(-4)}{-3-1}=\dfrac{-1}{-4}=\dfrac{1}{4}[/tex]
Substitute the found slope and one of the points into the point-slope formula:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-(-4)=\dfrac{1}{4}(x-1)[/tex]
[tex]\implies y+4=\dfrac{1}{4}(x-1)[/tex]
[tex]\implies y=\dfrac{1}{4}(x-1)-4[/tex]
Line #4Points:
Let (x₁, y₁) = (-3, -5)Let (x₂, y₂) = (-4, 3)Find the slope:
[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{3-(-5)}{-4-(-3)}=\dfrac{8}{-1}=-8[/tex]
Substitute the found slope and one of the points into the point-slope formula:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-(-5)=-8(x-(-3))[/tex]
[tex]\implies y+5=-8(x+3)[/tex]
[tex]\implies y=-8(x+3)-5[/tex]
[tex]\implies y=-8x-24-5[/tex]
[tex]\implies y=-8x-29[/tex]
Think About the Process You have 30 quarters. You find 20% more quarters in your room. Then you go shopping and spend 50% of the total number of quarters. Write an expression to represent the total number of quarters you take with you shopping. Calculate, in dollars, the amount of money you have left.
Answer: $4.5 left.
Step-by-step explanation:
You have 30 quarters, and find 20% more. To convert percentages to decimals for calculations, simply move the decimal two spaces to the left.
20% is 20. ---> 2.0 ---> .20
30 * 0.2 = 6. Now add 6 (found) to 30 (original) to get the total.
30+6 = 36 total quarters.
You spend 50% of the quarters, 36 * 0.5 = 18.
This means you have 18 quarters left (or you spent 18).
18 quarters, each quarter is worth 0.25 dollars, so multiply the number left by how much each is worth.
18 * 0.25 = $4.5.
$4.50 is the amount left
Mike had 6 1/4 pounds of potatoes to share with his friends. He gave them 3 4/5 pounds. How many pounds of potatoes does Mike have left?
Answer: 2 9/20
Step-by-step explanation:
First, rewriting our equation with parts separated
=6+14−3−45
Solving the whole number parts
6−3=3
Solving the fraction parts
14−45=?
Find the LCD of 1/4 and 4/5 and rewrite to solve with the equivalent fractions.
LCD = 20
520−1620=−1120
Combining the whole and fraction parts
3−1120=2920
Solution by Formulas
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
254−195
Applying the fractions formula for subtraction,
=(25×5)−(19×4)4×5
=125−7620
=4920
Simplifying 49/20, the answer is
=2 9/20
Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach at high tide measured where 1995 is represented by year 0.
Year number Western Beach width (in feet) Dunes Beach width (in feet)
0 100 20
5 90 45
10 80 70
11 78 75
12 76 80
15 70 95
Describe the patterns shown by the erosion data measurements shown for each of the beaches in the table.
Between which years will the beaches have approximately the same width?
Assuming these rates remain constant, what can you do to get a better approximation of when the two beaches will have the same width?
when tou have a problem you can saw me okey
A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y = 4x + 3.5 represents the cost y of bowling x games. Interpret the parameters of the function.
What represents the price per game?
What represents the shoe rental charge?
Answer: the price per game is 4 per game and the shoe rental is the additional fee to bowl
Step-by-step explanation:
Crumbs Cookies was interested in seeing if there was an association between cookie flavor and whether or not there was frosting. Given are the results of the last week's orders. Frosting No Frosting Total Sugar Cookie 56 Chocolate Chip 70 136 Red Velvet 50 Total 180 400 Which category has the greatest joint frequency? Sugar cookies Cookies with no frosting Chocolate chip cookies with frosting Sugar cookies with no frosting
The category which has the greatest joint frequency is sugar cookies with a frequency of frosting and no frosting as 56 and 120 and a joint frequency of 176
Which category has the highest joint frequency?Frosting No frosting Total
sugar cookies 56 120 176
Chocolate cookie 66 70 136
Red velvet 38 50 88
Total 160 240 400
Chocolate cookies with frosting = Total chocolate cookies - chocolate cookies with no frosting
= 136 - 70
= 66
Red velvet cookies with frosting = Total cookies with frosting - (Chocolate cookies with frosting + sugar cookies with frosting)
= 160 - (56 + 66)
= 160 - 122
= 38
Total red velvet cookies = Red velvet cookies with frosting + Red velvet cookies with no frosting
= 50 + 38
= 88
Total cookies with no frosting = Total cookies - Total cookies with frosting
= 400 - 160
= 240
Total sugar cookies with no frosting = Total cookies with no frosting - (chocolate cookies with no frosting + Red velvet cookies with no frosting)
= 240 - (70 + 50)
= 240 - 120
= 120
Total sugar cookies = Total sugar cookies with no frosting + Total sugar cookies with frosting
= 120 + 56
= 176
In conclusion, the highest joint frequency is sugar cookies.
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Given f(x) = 2x and g(x) = f(x − 4) + 5, write the new function rule (equation) for function and
describe
The new function rule is g(x) = 2x -3
What is a function?A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
This means that if the object x is in the set of inputs (called the domain) then a function f will map the object x to exactly one object f(x) in the set of possible outputs (called the codomain).
if f(x) = 2x, then f(x-4) = 2(x-4)
g(x) = f(x-4) + 5
substitute f(x-4) into g(x)
g(x) = 2(x-4) + 5
g(x) = 2x -8 + 5
g(x) = 2x - 3
In conclusion, the function rule g(x) is 2x - 3
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a. How many cubes with an edge length of b. What is the volume, in cubic inches, of inch are needed to build a cube with one cube with an edge length of inch? an edge length of 1 inch?
The number of cubes of edge length 1/3 is 27 and the volume of the cube is 1 cubic inches
How to determine the number of cubesFrom the question, we have the following parameters that can be used in our computation:
Edge length of cube 1 = 1/3 inchEdge length of cube 2 = 1 inchThe volume of a cube is the cube of its edge length
This means that the volumes are
Volume = Edge length³
So, we have
Volume of cube 1 = (1/3 inch)³ = 1/27 cubic inches
Volume of cube 2 = (1 inch)³ = 1 cubic inch
The number of cubes is then calculated as
Number of cubes = Volume of cube 2/Volume of cube 1
This gives
Number of cubes = 1/(1/27)
Number of cubes = 27
The volume of the cubesHere, we have
Edge length of cube = 1 inch
The volume of a cube is the cube of its edge length
This means that the volumes are
Volume = Edge length³
So, we have
Volume of cube = (1 inch)³ = 1 cubic inch
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Complete question
a. How many cubes with an edge length of 1/3 inch are needed to build a cube with an edge length of 1 inch?
b. What is the volume, in cubic inches, an edge length of 1 inch?
Does the graph below represent a function
A. Yes
B. No
C. Sometimes
D. Not enough information
Answer:
Step-by-step explanation:
Yes, it is a function.
The reason for this is because it passes what is called the Vertical Line Test, notice how if you draw a completely straight line down, it will only make contact with the graph one time. It is hard to tell, but even though it looks like the graph stops at x=±3, the graph is actually approaching the values ever so slightly, therefore maintaining the conditions for the vertical line test.
The answer is A. Yes.
CAN SOMEONE HELP WITH THIS QUESTION?✨
The new equation of graph will be-
y = 5ˣ - 4y = 5ˣ⁻⁵y = 5⁻ˣExplain the term translation?Each point in such a figure is moved the same distances in same direction using a kind of transformation known as translation.A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Each point in an image is thought to reflect other figure when they are all equally spaced apart from one another.For the stated conditions.
The equation of the graph is given as-
y = 5ˣ
Part a: f(x) is shifted 4 units downward,
y = 5ˣ - 4, is the new image location.
Part b: f(x) is shifted 5 units left,
, y = 5ˣ⁻⁵, change in the y axis with negative sign.
Part c: f(x) is reflected about the y axis.
y = 5⁻ˣ, x coordinates will change, keeping the y axis same.
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1. Julia used square tiles to make
a design. She laid the tiles in a
square, 8 tiles wide by 8 tiles
long. Each tile has an area of 1
square inch. What is the area of
Julia's tile design?
pls hp me with this question
Answer:30 1/8
Step-by-step explanation:
Solomon invested money in his bank account. He had a principal, P,
of $100 in his account at the beginning of the period, which
increased at a rate, r, of 0.15 per year. At the end of the period, he
had interest, I, of $135 in his account. Use the simple interest
formula 1 Prt, to solve for the time, t, in months that it took to
earn this amount. (1 point)
h
O 9 months
O 108 months
O 233 months
900 months
The total time required in months is 108 months.
What is simple interest?
Simple interest is defined as the amount of interest paid on a specific principal, an amount at a specific interest rate. It is given by
I = Prt
where, I = simple interest, P = Principal, r = rate of interest, t = time taken
Given, P = $100
I = $135
r = 0.15
t = ?
So, simple interest is given by:
I = Prt
or, 135 = 100*0.15*t
or, 135 = 15*t
or, t = (135/15) = 9 years = 9*12 = 108 months
Hence, the total time required in months is 108 months.
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Answer: 108
Step-by-step explanation:
just took test
Each lap of the pool is 1/10 of a mile. You need to swim 25 laps. How many miles did you swim?
Answer:5/2 miles or 4 and half mile
Step-by-step explanation:
1/10 times 25
25/10
5/2
Answer:
Step-by-step explanation:
the answer is 2 1/2 miles
Melissa’s mom embroiders 5 flowers on each side of a handkerchief. There is one flower at each corner, how many flowers are embroidered on the handkerchief altogether? If she gets Rs. 6 for embroidering 2 flowers, how much did she get paid for this handkerchief
Answer:
20 flowers at sides and 4 flowers at the corner then
total flowers are 24
cost of 2 flowers is 6 then of one flower will be 3
total cost of the flowers will be 24×3=72
Step-by-step explanation:
The radius of a circular play ground is 77 m. Calculate the distance covered by a runner in 5 complete rounds around the ground.
Answer:
Step-by-step explanation:
77*5=385
Please help with this question
[tex]10 \sqrt{2} [/tex]
Answer:
The answer is approximately equal to 14.14214
4. Abby receives a gift card worth $20 to an online retailer that sells digital music and games. Each song
costs $1each, and each game costs $2. She wants to buy at least 15 items with the card. Write a systems
of inequalities and represent the solution on the graph.
Answer:
card worth $20
the link to the graph down in the below
Step-by-step explanation:
Which of the following items is shaped MOST LIKE the Moon?
O An egg
O Asphere
O A cone
O A circle
Answer:
An egg
Step-by-step explanation:
Hope this helps you
The width of a rectangle is 4 more than the length. If the perimeter is 36 cm, ind the dimensions (length and width) of the rectangle.
Answer with step-by-step explanation:
Let the width of the rectangle be x.
Given that,
length ⇒ 4
width ⇒ x + 4 ( Because, the rectangle's width is 4 more than the length.)
Perimeter ⇒ 36cm
The formula to find the perimeter of rectangle is:
P = 2 ( l + w )
Now to find the value of x replace P, l & w with 36, 4 & (x + 4) with respectively.
P = 2 ( l + w )
36 = 2 ( 4 + x + 4 )
36 = 2 ( x + 8 )
Solve the brackets.
36 = 2x + 16
Substract 16 from both sides.
36 - 16 = 2x
20 = 2x
Divide both sides by 2.
10 = x
And now let us find the exact dimensions of the rectangle.
Length = 4 cm
Width = x + 4 = 10 + 4 = 14 cm
The U.S. Postal Service delivers about 212 billion pieces of mail each year. Of this mail, 4/5 is sent by big commercial users. About how many pieces of mail are sent by big commercial users each year? Hint: billion is part of the label “billion pieces of mail”.
The mail that are sent by big commercial users is 169.60 billion.
How many mails are sent by big commercials users?A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 4/5.
In order to determine the pieces of mail that are sent by big commercial users, multiply the fraction by the total number of mails delivered each year.
The mail that are sent by big commercial users = 4/5 x 212 billion = 169.60 billion
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Scott whose eye level is 1.5m above the ground, stands 30m from a tree. The angle of elevation of a bird at the top of the tree is 36 degrees. How far above the ground is the bird?
A. 21.8 m
B. 23.3 m
C. 41.3 m
Using trigonometric ratio, the distance of the bird is 21.8m
Angle of ElevationThe angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
To solve this problem, we have to use trigonometric ratio of SOHCAHTOA
Let's define the variables given;
Using Tangent of an angle;
tanθ = opposite / adjacent
tan 36 = x / 30
Cross multiply both sides and solve for x
30 tan36 = x
21.8 = x
The distance above the ground from the bird is 21.8 meter.
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0 Assignment is past due
5.PS-20
Question Help
Doug dives from a platform that is 7.5 meters above water. His dive takes him 1.5 meters below the surface of the water. How
far does Doug's dive take him?
Doug's dive takes him meters.
Answer:
9 meters
Step-by-step explanation:
|7.5|+|-1.5|=9
(the || on either side of each number shows that it's representing how far the number is from 0, so it's essentially 7.5+1.5)
Find x when () = 2. Please explain step by step
Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.
Step-by-step explanation:
Write an equation for (-5,3) and (0,-7)
The equation of line is y + 2x +7 =0 for the points (-5,3) and (0,-7).
What is equation of line?A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.
The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.
The given points are (-5, 3) and (0, -7).
To find the equation of line, use formula,
y - y₁ = m(x - x₁) where m = (y₂-y₁)/(x₂-x₁),
y - 3 = (-7 - 3)/(0-(-5)) (x - (-5))
y - 3 = -10 / 5 (x + 5)
y - 3 = -2 (x + 5)
y + 2x +7 =0
The required equation of line is y + 2x +7 =0 .
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The half-life of a drug in the bloodstream is 14 hours. What fraction of the original drug dose remains in 36 hours? in 72 hours?
What fraction of the original drug dose remains in 36 hours?
(Do not round until the final answer. Then round to the nearest hundredth as needed.)
16.82 % and 2.83% of the original drug dose remain in 36 hours and 72 hours respectively.
What is half-life?
Half-life is a characteristic unit for the exponential decay equation and is constant across the lifespan of an exponentially decaying quantity.
Given, the half-life of a drug(h) = 14 hours
The first condition, time duration (t) = 36 hours
Then, the half-life of the substance can be calculated by:
[tex]A = A_{0} * (1/2)^{\frac{t}{h} }[/tex]
or, [tex]A = A_{0} * (1/2)^{\frac{36}{14} }\\A = A_{0} * (0.1682)\\[/tex]
16.82 % of the original drug dose remains in 36 hours
Hence, 16.82 % of the original drug dose remains in 36 hours
The second condition, time duration (t) = 72 hours
Then, the half-life of the substance can be calculated by:
[tex]A = A_{0} * (1/2)^{\frac{t}{h} }[/tex]
[tex]A = A_{0} * (1/2)^{\frac{72}{14} }\\A = A_{0} * (0.0283)\\[/tex]
2.83 % of the original drug dose remains in 72 hours
Hence, 2.83 % of the original drug dose remains in 72 hours
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d) please help me with question d)