Answer:It would be a decrease of 40 percent
Step-by-step explanation:You go from 10/10 to 6/10 meaning you decrease by 4/10 and 4/10 is the same as 40/100 and anything over 100 is its percent value so you would be going down by 40%
Answer:
40 % decrease or -40%.
Step-by-step explanation:
The decrease is 10 - 6 = 4 feet.
% decrease = (4/10) * 100
= 0.4 * 100
= 40 % decrease.
What is the proof for this equation?
3x+27=2y+32
I will give brainliest!!!!!! Thx
A car's fuel efficiency is measured by the distance it can drive per a single unit of fuel. A common unit for efficiency is km/1, kilometers per liter of fuel. C(S) models the fuel efficiency of a certain car as a function of the car's speed S (in kilometers per hour). Match each statement with the feature of the graph that most closely corresponds to it.
Answer: Y-intercept: When the car doesn’t move...
Relative max or min: The most efficient...
Increasing or decreasing interval: As the car accelerates...
Step-by-step explanation:
The parameters are matched and shown below..
What is the of [y] - intercept of a graph?The [y] - intercept of a graph is the point where the graph cuts the [y] axis.
We have a curve that models the fuel efficiency of a certain car as a function of the car's speed.
The [y] - intercept of the graph would be at y = 0. This point represents the situation when the car does not have any fuel to move.
The increasing or decreasing value represents as car accelerates towards 55 Km/hr, it gets more efficient.
The relative maximum value represents that the most efficient the car can get is 20 Km/litre.
Therefore, the parameters are matched and shown above.
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How to find the slope of the line between (8,-2) and (-3,9)
Answer:
-x or -1xStep-by-step explanation:
you would find the slope by doing the change in y over the change in x. in your case, the change in y is 11 and the change in x is -11.
Answer:
Slope formula is y2-y1 over x2-x1
Once you find the slope you are going to need to put it into point slope form which is y-y1=m(x-x1)
Step-by-step explanation:
9-(-2) divided by -3-8 is 11 over -11 which your slope is -1 m=-1
Then you use the point slope formula
y-(-2)=-1(x-8)
Then solve algebraically
Y+2=-1x+8
-2. -2
Y=-1x+6 , that is in slope-intercept form your m which is your slope is -1 and your b which is your y intercept is 6
So basically your answer is slope(m) which is -1.. hope this helps!!
Euclid’s root beer mug is shaped basically like a cylinder that is eight inches tall with a radius of three inches. Aristotle’s root beer glass is shaped basically like a cone that is 18 inches tall with a diameter of four inches. Which vessel holds the most root beer?
The Euclid's mug holds the most root beer.
Step-by-step explanation:
Euclid's mug :
Height = 8 inches
Radius = 3 inches
Volume = π(r x r) h
= (3.14) (9) 8
= 226.08 cubic inches
Aristotle's mug:
Height = 18 inches
Diameter = 4 inches
Radius = 2 inches
Volume = (1/3) π(r x r) h
= (1/3) (3.14) (4) 18
= 37.68 cubic inches
The Euclid's mug holds the most root beer.
1. The length of each leg of an isosceles right triangle is 13 cm. What is the length of the hypotenuse?
Answer:
Step-by-step explanation:
For right triangles, we can use the Pythagorean theorem. This means that a2+b2 = c2. In this problem, a and b are the given side lengths of the triangle. This means that a=b=13. To solve this problem, we plug in 13 to the equation above and solve for c.
132 + 132 = c2
169+169 = c2
338 = c2
square root(338) = c
c = 18.38
Answer:18.38
Step-by-step
13^2 +13^2=338
square root 338
=18.38
A shipping container in the shape of a rectangular solid must have a volume of 84 cubic meters. The client tells the manufacturer that, because of the contents, the length of the container must be one meter longer than the width, and the height must be one meter greater than twice the width. What should the dimensions of the container be?
Answer:
The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.
Step-by-step explanation:
Let the width of rectangular solid be x
We are given that the length of the container must be one meter longer than the width
So, Length of solid = x+1
We are also given that height must be one meter greater than twice the width
So, Height of solid = 2x+1
So, Volume of solid = [tex]Length \times Width \times height[/tex]
Volume of solid = [tex](x+1) \times x \times (2x+1)[/tex]
Volume of solid =[tex](x^2+x)(2x+1)[/tex]
Volume of solid =[tex]2x^3+x^2+2x^2+x=2x^3+3x^2+x[/tex]
We are given that a rectangular solid must have a volume of 84 cubic meters
So, [tex]2x^3+3x^2+x=84\\2x^3+3x^2+x-84=0\\(x-3)(2x^2+9x-28)=0\\[/tex]
On equating
x-3=0
x=3
So, Length of solid = x+1=3+1 = 4 feet
Height of solid = 2x+1 =2(3)+1=7 feet
Width of solid = 3 feet
Hence The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.
The volume of a rectangular solid shipping container = 84 cubic meters
The width of the container = 3m
The length of the container = (x + 1) = (3+1) = 4m
The height of the container = (2x + 1) = (2 x 3 + 1) = 7m
Given:
The volume of a rectangular solid shipping container = 84 cubic meters
Let: The width of the container be x
The length of the container must be one meter longer than the width.
So, The length of the container be (x + 1)
The height must be one meter greater than twice the width.
So, The height of the container be (2x + 1)
To find the dimensions of the container
The Volume of the container = Length x Width x Height
[tex]84=x(x+1)(2x+1)[/tex]
[tex]84=(x^{2} +x)(2x+1)[/tex]
[tex]84=2x^{3} +3x^{2} +x[/tex]
[tex]2x^{3} +3x^{2} +x-84=0\\(x-3)(2x^{2} +9x+28)=0\\x-3=0\\x=3[/tex]
So, The width of the container = 3m
The length of the container = (x + 1) = (3+1) = 4m
The height of the container = (2x + 1) = (2 x 3 + 1) = 7m
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Explain how to rewrite the equation -2x - 6y = 18 in slope-intercept form.
Answer:
y = -1/3x -3
Step-by-step explanation:
-2x - 6y = 18
We want to solve for y since the slope intercept form is y =mx+b where m is the slope and b is the y intercept
Add 2x to each side
-2x-6y +2x = 2x+18
-6y = 2x+18
Divide each side by -6
-6y/-6 = 2x/-6 + 18/-6
y = -1/3x -3
This is in slope intercept form with the slope -1/3 and the y intercept -3
Answer:
[tex]y = - \frac{x }{ 3} - 3[/tex]
Step-by-step explanation:
-2x - y = 18
Add 2x to both sides.
-6y = 2x + 18
divide both sides by -6.
[tex]y = \frac{2x + 18}{ - 6} [/tex]
divide 2x + 18 by 6
[tex]y = - \frac{x }{ 3} - 3[/tex]
Let x^2+17x=-5 What values make an equivalent number sentences after completing the square? (Do not simply your answers)
Answer:
[TeX] (x+\frac{17}{2})^{2}=\frac{269}{4} [/TeX]
Step-by-step explanation:
Given the expression:
[TeX] x^2+17x=-5 [/TeX]
To complete the square,
First Step: Identify the Coefficient of x.
Coefficient of x=17
Second Step: Divide the coefficient of x by 2.
Third Step: Square your result from the second step.
This gives:
[TeX] (\frac{17}{2})^{2}[/TeX]
Fourth Step: Add your result to both sides if the equation.
[TeX] x^2+17x+(\frac{17}{2})^{2}=-5+(\frac{17}{2})^{2} [/TeX]
Fifth Step:Express the left hand side as a square
[TeX] (x+\frac{17}{2})^{2}=-5+(\frac{17}{2})^{2} [/TeX]
Sixth Step:Simplify the Right Hand Side
[TeX] (x+\frac{17}{2})^{2}=\frac{269}{4} [/TeX]
These are the values that make an equivalent number sentence.
Simplify an expression for the area of the rectangle.
Answer:
39.6x +26.4
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A = 13.2 * (3x+2)
Distribute
39.6x +26.4
Nathan needs some paint for his bedroom. He finds two cans of white paint, four cans of green paint and three cans of pink paint in his garage. If he chooses a can of paint without looking at the color, what is the chance that he will paint his bedroom pink
Answer:
3/9 or 33.33%
Step-by-step explanation:
there are 9 total cans and 3 pink cans. So, that'd be 3/9 or 33.33%
hope this helps!
Answer:
1/3
Step-by-step explanation:
Mr. and Mrs. Chavez close on a 30 year home loan for $250,000. The monthly payment with no points is $1,580, but if they buy a point it is $1,560. What might you infer if Mr. and Mrs. Chavez choose not to buy a point?
a.
They plan to sell the house at the end of 5 years.
b.
They plan to sell the house at the end of 10 years.
c.
They plan to sell the house at the end of 15 years.
d.
They plan to stay in the house at least 30 years.
Answer: A
Answer: A
Step-by-step explanation:
Find the Perimeter of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.
9514 1404 393
Answer:
43.1
Step-by-step explanation:
The perimeter is the sum of the lengths of the two straight edges, each of which is 9 units long, and the circumference of the full circle of diameter 8 units. The circumference is pi times the diameter.
P = 2(9) +8π = 18 +25.13
P ≈ 43.1 . . . units
The perimeter of the combination of a rectangle and two semicircles is found by adding the straight sides of the rectangle and the circumference of the resulting full circle formed by the semicircles. In this case, it's 43.1 units.
To find the perimeter of the combined shape consisting of a rectangle and two semicircles, we need to consider the lengths of the straight parts as well as the circumference of the circles. The perimeter is the sum of the lengths of the straight sides of the rectangle, each of which is 9 units long, and the circumference of the full circle with a diameter of 8 units.
Using the formula for the circumference of a circle (C = πd) where d is the diameter, the circumference of the full circle would be 8π. So, the total perimeter of the shape is:
P = 2*(9) + 8π
That gives us:
P = 18 + 25.13 approximately
So, P ≈ 43.1. . . units
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A restaurant is offering a new buffet with six types of sandwiches, four sides, and five desserts. If customers are allowed to select one sandwich, one side, and one dessert, how many meal combinations are possible?
Answer:
240
Step-by-step explanation:
Multiply everything together. 6*4*5 is 240.
What is the solution to the system of equations 6x+2y=6 7x+3y=5
Answer:
(x,y)=(2,-3)
Step-by-step explanation:
6x+2y=6
7x+3y=5
Multiply both sides by 3
18x+6y=18
7x+3y=5
Multiply both sides by -2
18x+6y=18
-14x-6y=-10
Eliminate one variable by adding the equations
4x=8
x=2
Substitute the value of x to get y
6(2)+2y=6
y=-3
x=2
y=-3
The solution to the system of equations 6x+2y=6 and 7x+3y=5 is x = 2 and y = -3.
The solution to the system of equations 6x+2y=6 and 7x+3y=5 involves finding the values of x and y that satisfy both equations simultaneously.
First, let's multiply:
3(6x + 2y) = 3(6)
=> 18x + 6y = 18
2(7x + 3y) = 2(5)
=> 14x + 6y = 10
Next, we subtract the second equation from the first:
18x + 6y - (14x + 6y) = 18 - 10
4x = 8
x = 2
Now that we have the value of x, we can substitute it back into either of the original equations to find the value of y. For instance, substituting x into the first original equation:
6(2) + 2y = 6
12 + 2y = 6
2y = 6 - 12
2y = -6
y = -3
The solution to the system of equations is x = 2 and y = -3.
Which equation represents a circle with a center at (-3,-5) and a radius of 6 units?
(x – 3)2 + (y – 5)2 = 6
(x – 3)2 + (y-5)2 = 36
(x + 3)2 + (y + 5)2 = 6
(x + 3)2 + (y + 5)2 = 36
va
Answer: (x+3)2 + (y+5)2 =36
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Angle C is inscribed in circle O. AB is a diameter of circle O. What is the radius of circle O?
Answer:
6.5 units
Step-by-step explanation:
In circle with center O, AB is diameter.
[tex] \therefore m\angle ACB = 90°\\[/tex]
(Angle inscribed in a semicircle)
[tex] \therefore \: in\: \triangle ABC, \:AB \: is\: hypotenuse \\[/tex]
By Pythagorean theorem:
[tex]AB = \sqrt{ {12}^{2} + {5}^{2} } \\ = \sqrt{144 + 25} \\ = \sqrt{169} \\ AB \: = 13 \\ r = \frac{13}{2} = 6.5 \: units[/tex]
What is the value of t?
You are making an open box from a rectangular sheet of cardboard by cutting squares of equal length from each corner and folding up the sides. The dimensions of the sheet of cardboard are 15 inches by 12 inches. Write a polynomial that represents the total volume of the open box.
Answer:
[tex]V(x) = 4x^3 - 54x^2 + 180x[/tex]
Step-by-step explanation:
We are given the following in the question:
A rectangular piece of cardboard of side 15 inches by 12 inches is cut in such that a square is cut from each corner.
Let x be the side of this square cut. When it was folded to make the box.
The height of box =
[tex]x\text{ inches}[/tex]
The length becomes
[tex](15-2x)\text{ inches}[/tex]
The width becomes
[tex](12-2x)\text{ inches}[/tex]
Volume of box =
[tex]V =l\times w\times h[/tex]
Putting values, we get
[tex]V(x) = (15-2x)(12-2x)x\\V(x) = (180-30x-24x+4x^2)(x)\\V(x) = (4x^2 - 54x + 180)(x)\\V(x) = 4x^3 - 54x^2 + 180x[/tex]
is the required polynomial for volume of box formed.
What is 12 divided by 220
Answer:
0.0545454545455
Step-by-step explanation:
what is domain and range
Answer:
the domain is anything with the x-axis and range the y-axis
Answer:
Domain- is the set of all possible x-values or "input" for the function that gets you to the "output" or y-values. Range- is the difference between the highest and the lowest values.
Step-by-step explanation:
The scale of Miguel's dollhouse is 1in.=2 2/7ft. If the pants of the military uniform of the father in the dollhouse are 1 2/5 inches long, how long would the pants be in real life?
Answer:
3 1/5 ft
Step-by-step explanation:
We can set up a proportion:
[tex]\frac{1}{2\frac{2}{7} } =\frac{1\frac{2}{5} }{x}[/tex] , where x is how long the pants are in real life
Cross multiply:
x = (2 2/7) * (1 2/5)
It's easier if we have improper fractions, so convert the mixed numbers into improper fractions:
2 2/7 = 16/7
1 2/5 = 7/5
Now, put these back in:
x = (16/7) * (7/5) = 16/5 = 3 1/5
Thus, in real life, the pants would be 3 1/5 ft long.
Hope this helps!
Answer:
3⅕ ft
Step-by-step explanation:
1 in --> 2 2/7 ft
2 2/7 = 16/7
1 2/5 in = 7/5 in
7/5 × 16/7 = 16/5 ft
3 1/5 ft
Solve -x^2-9x-20=0 with the quadratic formula
plz help!
Answer:
a = -1 b = -9 c = -20
x1 = [--9 +- (sq root -9^2 - 4 * -1 * -20)] / 2 * -1
x1 = 9 +sq root (81 - 80) / -2
x1 = [9 + 1 ] / -2
x1 = -5
x2 = 9 -sq root (81 - 80) / -2
x2 = 8 / -2
x2 = -4
Step-by-step explanation:
Evaluate Loga√44+ Log a√275- Log 11a
They all have base 10
Answer:
[tex]log(10a)[/tex]
Step-by-step explanation:
[tex]log(a\sqrt{44})+log(a \sqrt275)-log(11a)[/tex]
We can simplify this using these log laws:
[tex]log(a)+log(b)=log(ab)\\log(a)-log(b)=log(\frac{a}{b})[/tex]
[tex]log(\frac{a^2\sqrt{44} \sqrt{275}}{11a})[/tex]
We also have laws to simplify square roots
[tex]\sqrt{a}*\sqrt{b} = \sqrt{ab}[/tex]
So this becomes
[tex]log(\frac{a^2\sqrt{12100}}{11a})[/tex]
[tex]\sqrt{12100} = 110[/tex]
so this becomes
[tex]log(\frac{110a^2}{11a})=log(10a)[/tex]
The number y of hits a new website receives each month can be modeled by y = 4060ekt, where t represents the number of months the website has been operating. In the website's third month, there were 11,000 hits. Find the value of k. (Round your answer to four decimal places.) k =
Answer: The value of k = 0.9031
Step-by-step explanation: The equation for calculating the number of hits has been given as y = 4060ekt, where y is the number of hits and t is the number of months the website has been operating.
The values for y and t has been determined already as given, (y = 11000 and t = 3) therefore we can substitute for the known values in order to calculate the value of the unknown, k.
y = 4060kt
11000 = 4060 x 3k
11000/(4060 x 3) = k
11000/12180 = k
0.9031198 = k
Rounded to four decimal places,
k = 0.9031
margot used 1/2 pounds of turkey to make 2/3 liters of turkey chill. If margots recipe is for 1 liter of turkey chill,how many pounds of turkey will she need to make 4 times the recipe
Answer:
2 pounds of turkey?
Step-by-step explanation:
Margot will therefore need 3 pounds of turkey to make 4 liters of her turkey chili.
To find out how many pounds of turkey Margot will need to make 4 times her turkey chili recipe for 1 liter, we first identify the amount needed for 1 liter based on the given ratio, and then multiply that amount by 4.
Margot uses 1/2 pounds of turkey for 2/3 liters of turkey chili. If we need to find out the amount for 1 liter, we can set up a proportion:
1/2 pounds turkey / (2/3 liters) = x pounds turkey / 1 liter
We cross multiply to solve for x:
(1/2) * 1 = x * (2/3)
Now we solve for x:
x = (1/2) * (3/2)
x = 3/4 pounds of turkey for 1 liter of chili
For 4 liters of chili (4 times the recipe), we would multiply:
4 * (3/4 pounds) = 3 pounds of turkey
Carlo rode his bike from his house to his friend Kevin’s house from there he rode to a video game store then he Road 3.2 km from the video game store back to his house that it was in the grid so the path Carlo trouble how many kilometers deCarlo ride his bike
Answer: 13.7
Step-by-step explanation:
The total distance Carlo travelled form his house to Kelvin's house to the game store and back to his house is 13.7 km.
How to calculate distance from the graph?Using the distance formula, we can caulate the distance he rode from his house to Kelvin's house and then to the video game store.
Therefore,
d = √(y₂ - y₁)²+(x₂- x₁)²
Hence,
(0, 0)(2.5, 6)
Distance from his house to Kelvin's house = √(6- 0)²+(2.5 - 0)²
Distance from his house to Kelvin's house = √36 + 6.25 = 6.5 km
Therefore,
(2.5, 6)(2.5, 2)
Distance from Kelvin's house to game store = √(2- 6)²+(2-5 - 2.5)²
Distance from Kelvin's house to game store = √16 = 4 km
Hence,
Total distance travelled = 6.5 + 4 + 3.2 = 13.7 km
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Type the expression that results from the following series of steps:
start with y, subtract 4, then times 9.
Start with y: [tex]y[/tex]
Subtract 4: [tex]y-4[/tex]
Multiply by 9: [tex]9(y-4)=9y-36[/tex]
Answer:
[tex]9(y - 4) \\ = 9y - 36[/tex]
Step-by-step explanation:
[tex]start \: \: \: \: \: \: \: \: \: \: = y \\ subtract \: = y - 4 \\ times \: \: 9 \: \: \: = 9(y - 4) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 9y - 36[/tex]
How do I solve this math problem you and your friend are selling magazine subscriptions for a fundraiser. After w weeks , you have sold (7w = 6) subsriptions and your friend has sold ( 9w = 2) subscriptions. Whats the diffrence written in simple expression form?
Answer:
The diffrence written in simple expression form is 40/63
Step-by-step explanation:
To solve for the difference normally you have to subtract your own subscription from that of your friends,
Let's perform this operation step wise
Now your subscription is
(7w = 6)
w=6/7
Your friends own is
( 9w = 2)
w=2/9
So the difference in simple form is
6/7-2/9
The LCM is 63 I.E 9*7=63
=54-14/63
=40/63
John is icing 30 cupcakes. He spreads mint icing on 1/5 of the cupcakes and chocolate icing on 1/2 of the remaining cupcakes. How many cupcakes will get chocolate frosting?
Answer: 12 cupcakes will get chocolate frosting
Step-by-step explanation: John started with 30 cupcakes and spresd mint icing on 1/5 of these. That means he did the following
Mint icing = 30 x 1/5
Mint icing = 6
That leaves him with a total of 30 minus 6 cupcakes which equals 24 cupcakes.
Next he spreads chocolate icing on half of the remaining, that is half of 24. That means he did the following;
Chocolate icing = 24 x 1/2
Chocolate icing = 12
Therefore 12 cupcakes will get chocolate frosting
1+1=
2+2=
5x7-2+5=
7000+3+67+90=
Step-by-step explanation:
[tex]1+1=2 \\
2+2=4 \\
57-2+5=60 \\
7000+3+67+90=7160[/tex]
Answer:
7160
Step-by-step explanation:
1+1=2
2+2=4
5x7-2+5=5x7+3
7000+3+67+90+7160