Main street Auto Leasing has a ratio of cars to trucks that is 9:4.
Airport Auto Leasing has a ratio of cars to trucks that is 5 to 3.
If each leasing center has 24 trucks, which auto leasing company has more cars?
Main Street Auto Leasing has more cars since it has ______ cars while Airport Auto Leasing has ____ cars only.
Answers
Answer:
I hope you understood! Good luck with the rest of your class :)
Main Street Auto Leasing has more cars since it has more cars while Airport Auto Leasing has less cars only.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
Main street Auto Leasing has a ratio of cars to trucks that is 9:4.
And, Airport Auto Leasing has a ratio of cars to trucks that is 5 to 3.
Here, Each leasing center has 24 trucks.
And, Main street Auto Leasing has a ratio of cars to trucks that is 9:4.
Hence, Number of trucks in Main street Auto Leasing is,
⇒ 4x = 24
⇒ x = 6
So, Number of cars in Main street Auto Leasing is,
⇒ 9x
⇒ 9 × 6
⇒ 54
Here, Airport Auto Leasing has a ratio of cars to trucks that is 5 to 3.
Hence, Number of trucks in Airport Auto Leasing is,
⇒ 3x = 24
⇒ x = 8
So, Number of cars in Airport Auto Leasing is,
⇒ 5x
⇒ 5 × 8
⇒ 40
Hence, Main Street Auto Leasing has more cars since it has more cars while Airport Auto Leasing has less cars only.
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Related Questions
Mrs. Kelley is driving 540 miles to visit Niagra Falls. She drives at an average rate of 60 miles per hour. Using the formula d (distance) divided by r (rate) in order to find the time it will take for Mrs. Kelley to get to Niagra Falls. Pls help :c
Answers
Answer:
9 hours with no stops
Step-by-step explanation:
540 mile drive
60 MPH
distance divided by rate is 540 divided by 60 = 9
A triangle is formed by intersecting lines.
What is the measure of angle x?
Answers
So 180-90 (right angle) - 51 (other known angle) = 39
triangles only go up to 180° and that triangle already has a 90° right angle and a 51° acute angle. so the answer is 39°
is this expression fully simplified? Explain
4x2 + 10 - x - 6x3
Answers
Answer:
-x
Step-by-step explanation:
Find the area of the polygon, the vertices are (1,4) (2,1) (4,1) (5,4)
Answers
Answer:
Hello
Step-by-step explanation:
What kind of symmetry does this figure have?
point
line
both line and point
neither
Answers
Answer:
line and point
Step-by-step explanation:
The kind of symmetry the figure given above posses is a line and point symmetry.
What is point symmetry?A point Symmetry also known as origin symmetry is a Symmetry which occurs when every part of an object has a matching part. That is, the same distance from the central point but in the opposite direction.
Given that;
The objects looks the same when viewed from opposite directions.
We know that;
A line of symmetry is a line that cuts a shape exactly into two equal half. That is, if you fold the shape along the line, both halves would match exactly.
Therefore, the figure given above has both point and line Symmetry.
Learn more about line and point symmetry:
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You earn $60 for mowing 5 lawns. How much do you earn for mowing 15 lawns? Complete the ratio table to help you solve the problem. Write your answer in a complete sentence.
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Help me! Brainliest!
Answers
Answer:
Rip i saw you said times up :/
Step-by-step explanation:
Giving brainliest!!!!!!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
there are data values from 17-26
so D
The equation for the area of a circle is given.
A=πr2
If the radius (r) of the circle is 3, what is the area in terms of π?
Answers
how do i find the area for this
Answers
Answer:
1,728 yd²
Step-by-step explanation:
Area = b × h
36 yd will be the replacement for b
48 yd will be the replacement for h
Now we multiply 36 by 48
36 × 48 = 1,728 yd²
Answer:
1728
Step-by-step explanation:
-24 + 9w simplify with distributive factor
Answers
Answer:
3(-8 + 3w)
Step-by-step explanation:
The greatest common factor (GCF) of 24 and 9 is 3. By taking out a 3 from the quantity, you get a -8 from the -24 and a 3w from the 9w. But the 3 doesn't disappear. It is put outside of the quantity to indicate that it has been taken out and can be put back in.
-24+9w
9w-24
= 3(3w-8)
First right equals brainliest, Pls dont answer for the points this is serious. I just need this and 3 more which I will ask later. Anyway I am making this worth more points because I need help:)
Answers
I can't see the picture, can you please explain the problem in the comment bar below this so can edit my answer to help?
please help me with this for brainliest please dont play around XD
Answers
Answer:
23/6
Step-by-step explanation:
3/56
helppppppppppppppppppppppppppp
Answers
Answer:
214.08 cm²
Step-by-step explanation:
To find the whole area of an irregular polygon, you must first break it into polygons that are findable. For this figure, we can break it up into two figures, a triangles and a rectangle. To find the triangle, we must first find the height of it. To get that, we take the length of the blue line (the height of the entire figure), and subtract the height of the rectangle (9.6 cm) to get a height of 5.7 cm for the triangle. the area formula for a triangle is 1/2 of the base multiplied by the height. To get the base of the triangle, we add the base of the rectangle to the parts of the triangle that hang past it (6.2 cm in total). 6.2 + 12.8 gives us 19 cm. Now we have (19 x 9.6) divided by 2 to give us 91.2 cm². The area formula for a quadrilateral is just the base (12.8 cm) multiplied by the height (9.6 cm), to give us 122.88 cm². Add the area of the rectangle to the area of the triangle to get our answer, 214 cm².
*So sorry for the first answer, my bad.
How do you find the equation of each function? Function A is f(x)=3x^2 and Function C is f(x)=18x-16. How do you get those? And then how do you get the equation for Function B? Thanks!
Answers
Answer:
[tex]f(x) = 3^x[/tex] --- Function A
[tex]f(x) = x^2 - 5[/tex] --- Function B
[tex]f(x) = 18x -6[/tex] --- Function C
Step-by-step explanation:
Solving (a): Equation of Function A
An exponential equation is represented as:
[tex]y = ab^x[/tex]
From the graph of function A,
[tex]x = 0\ when\ y = 1[/tex]
[tex]x = 1\ when\ y = 3[/tex]
For: [tex]x = 0\ when\ y = 1[/tex]
[tex]y = ab^x[/tex] becomes
[tex]1 = ab^0[/tex]
[tex]1 = a[/tex]
[tex]a =1[/tex]
For: [tex]x = 1\ when\ y = 3[/tex]
[tex]y = ab^x[/tex] becomes
[tex]3 = a*b^1[/tex]
[tex]3 = a*b[/tex]
Substitute 1 for a
[tex]3 = 1*b[/tex]
[tex]3 = b[/tex]
[tex]b = 3[/tex]
[tex]y = ab^x[/tex] becomes
[tex]y = 1*3^x[/tex]
[tex]y = 3^x[/tex]
Replace y with f(x)
[tex]f(x) = 3^x[/tex]
Solving (b): Equation of Function B
A quadratic equation is represented as:
[tex]y = ax^2 + bx + c[/tex]
From the table of function B,
[tex]x = 3\ when\ y =4[/tex]
[tex]x = 5\ when\ y =20[/tex]
[tex]x = 6\ when\ y =31[/tex]
For: [tex]x = 3\ when\ y =4[/tex]
[tex]y = ax^2 + bx + c[/tex] becomes
[tex]4 = a*3^2 + b*3 + c[/tex]
[tex]4 = a*9 + 3b + c[/tex]
[tex]4 = 9a + 3b + c[/tex]
For [tex]x = 5\ when\ y =20[/tex]
[tex]y = ax^2 + bx + c[/tex] becomes
[tex]20 = a*5^2 + b*5 + c[/tex]
[tex]20 = a*25 + b*5 + c[/tex]
[tex]20 = 25a + 5b + c[/tex]
For [tex]x = 6\ when\ y =31[/tex]
[tex]y = ax^2 + bx + c[/tex] becomes
[tex]31 = a*6^2 + b*6 + c[/tex]
[tex]31 = a*36 + b*6 + c[/tex]
[tex]31 = 36a + 6b + c[/tex]
So, we solve for a, b and c in:
[tex]4 = 9a + 3b + c[/tex]
[tex]20 = 25a + 5b + c[/tex]
[tex]31 = 36a + 6b + c[/tex]
Make c the subject in [tex]4 = 9a + 3b + c[/tex]
[tex]c = 4 - 9a - 3b[/tex]
Substitute [tex]c = 4 - 9a - 3b[/tex] in [tex]20 = 25a + 5b + c[/tex] and [tex]31 = 36a + 6b + c[/tex]
[tex]20 = 25a + 5b + c[/tex] becomes
[tex]20 = 25a + 5b + 4-9a-3b[/tex]
Collect Like Terms
[tex]-4+20 = 25a -9a+ 5b -3b[/tex]
[tex]16 = 16a+ 2b[/tex]
Divide through by 2
[tex]8 = 8a + b[/tex]
[tex]c = 4 - 9a - 3b[/tex]
[tex]31 = 36a + 6b + c[/tex] becomes
[tex]31 = 36a + 6b + 4 - 9a - 3b[/tex]
Collect Like Terms
[tex]-4+31 = 36a - 9a+ 6b - 3b[/tex]
[tex]27 = 27a+ 3b[/tex]
Divide through by 3
[tex]9 = 9a + b[/tex]
Solve for a and b in: [tex]8 = 8a + b[/tex] and [tex]9 = 9a + b[/tex]
Subtract both equations:
[tex]8 - 9 = 8a - 9a + b - b[/tex]
[tex]8 - 9 = 8a - 9a[/tex]
[tex]-1 = -a[/tex]
Divide both sides by -1
[tex]1 = a[/tex]
[tex]a = 1[/tex]
Substitute 1 for a in [tex]9 = 9a + b[/tex]
[tex]9 = 9*1 + b[/tex]
[tex]9 = 9 +b[/tex]
Subtract 9 from both sides
[tex]9-9=9-9+b[/tex]
[tex]0=b[/tex]
[tex]b = 0[/tex]
Substitute [tex]b = 0[/tex] and [tex]a = 1[/tex] in [tex]c = 4 - 9a - 3b[/tex]
[tex]c = 4 - 9*1-3*0[/tex]
[tex]c = 4 - 9-0[/tex]
[tex]c = -5[/tex]
So, the equation is:
[tex]y = ax^2 + bx + c[/tex]
[tex]y=1*x^2 +0*x-5[/tex]
[tex]y=x^2 -5[/tex]
Replace y with f(x)
[tex]f(x) = x^2 - 5[/tex]
Solving (c): Equation of Function C
This is calculated using:
[tex]f(x) =a + (x -1)d[/tex]
Where
[tex]a = 12[/tex] -- the first term
d = the difference between successive terms
[tex]d = 30 -12 = 48-30 = 66 -48[/tex]
[tex]d =18[/tex]
So, we have:
[tex]f(x) =a + (x -1)d[/tex]
[tex]f(x) = 12 + (x - 1)*18[/tex]
Open bracket
[tex]f(x) = 12 + 18x - 18[/tex]
Collect Like Terms
[tex]f(x) = 18x - 18+12[/tex]
[tex]f(x) = 18x -6[/tex]
Help me please and thank you! its due and this is the last question...
Answers
Which equation could be used to solve problems involving the relationships between the angles?
A) 90+(8a+9)=(11+2a)
B) 90-(8a+9)=(11+2a)
C) (11+2a)-90=(8a+9)
D) (8a+9)-(11+2a)=90
Answers
Answer:
B
Step-by-step explanation:
I dont know how to solve this
Answers
since we already have 47°, 180-47=133
combine the other sides so
(15+x)+(18+4x)=133
33+5x=133
133-33=100
5x=100
100/5=20
x=20
and that's it, x is equal to 20
would set a new school record? A number line going from 515 to 521. An open circle is at 518. Everything to the left of the circle is shaded. A number line going from 515 to 521. A closed circle is at 518. Everything to the left of the circle is shaded. A number line going from 515 to 521. An open circle is at 518. Everything to the right of the circle is shaded. A number line going from 515 to 521. A closed circle is at 518. Everything to the right of the circle is shaded.would set a new school record? A number line going from 515 to 521. An open circle is at 518. Everything to the left of the circle is shaded. A number line going from 515 to 521. A closed circle is at 518. Everything to the left of the circle is shaded. A number line going from 515 to 521. An open circle is at 518. Everything to the right of the circle is shaded. A number line going from 515 to 521. A closed circle is at 518. Everything to the right of the circle is shaded.
Answers
Answer:
C
Step-by-step explanation:
halp me plez I dont wanna fail ( MUST BE A EXPRESSION)
Answers
Answer:
2x+15=33
Step-by-step explanation:
Let n be the number of days he has been doing sit ups, not counting the first day. Since he does 2 more sit-ups for each day, then the number of additional sit-ups is 2n.
Since he started doing 15 sit-ups on the first day, the total number of sit-ups
after x days would be 2n+15.
Since he did a total of 33 sit ups today, then 2n+15=33
Four students set up a lemonade stand. At the end of the day, their profit is $17.52. How much money do they each have when the profit is split equally?
Answers
Answer:
$6
Step-by-step explanation:
pls answer quick rjwejriwejriwekr
Answers
Answer: $181.48 O_O
Step-by-step explanation: i know that stuff
Answer:
$530.48
Step-by-step explanation:
i can answer now yay
I need this quickly they both need expressions I think so
(will mark brainlist if right)
Answers
Answer:
1 - 155 +27n
2- 2x+15=33
Step-by-step explanation:
hope this helps
Plzzz help I’m being timed!!!
Answers
Answer:
W
Step-by-step explanation:
quadrant 4 is the bottom right one
W: 4;5
V: 4;2
Y: -1;2
X: -5;-1
I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would appreciate it! (this is Pythagorean Theorem if your wondering).
Answers
Answer:
35 squared plus x squared equals 78 Squared
which makes your answer
69.7
Step-by-step explanation:
Answer:
35 square + x square 78 square
= 69.7
Step-by-step explanation:
please help me first answer gets brainliest
Answers
Step-by-step explanation:
Answer: -40
Step-by-step explanation:
plz help me... it would help if u did all the questions :)
Answers
5x and 5y are ADJACENT
Answer:
i dont see a x-
Step-by-step explanation:
Kelly has some money saved. After mowing two lawns on Saturday, she adds $40 to her savings. Write an expression to represent how much money has Kelly saved.
(will give brainlist.. if you put soething random then im reporting you and will email brianly and give them your user)
Answers
Answer:
x+40 or 40+x
Step-by-step explanation:
It doesn't tell you the amount of money she's saved before so you make it a variable. I used x.
After mowing she got $40 and decided to add that to her savings.
You already know her savings before, x, and now you have $40.
So you end up writing the expression x+40 or 40+x.
There is a key word in the second sentence to be aware of. It’s simply the word, ‘add’, and when that word is there, we just simply do addition.
Remember that x is always first in an expression, though if it looks weird, you can just switch it; it’s alright.
Key word: Add = addition
Expression: 40 + x
Rashida is building a model of her city's downtown area. She is constructing part of an office building, as shown below. Each cube has a length of centimeter.
Based on the model, the length of the building is
centimeter.
The width of the model building is
centimeter.
The height of the model building is
centimeter.
The volume of the model building is
cubic centimeter.
Answers
Based on the model, we find the dimensions of the cube. The length of the model building is 2/3 centimeter. The width of the model building is 1/3 centimeter. The height of the model building is 1/2 centimeter. The volume of the model building is 1/9 cubic centimeter.
What are dimensions of a cube?A cube is 3- dimensional shape with 6 equal sides, 6 faces, and 6 vertices in geometry. Each face of a cube is a square. In 3 – dimension, the cube’s sides are; the length, width, and height. Sides of a cube are all equal i.e. Length = Width = Height = a.
The length = breadth = height (of one cube) = 1/6 cm
The length of the model consist of 4 cubes.
Length of model building = 4 * 1/6 cm = 2/3 cm
The width of the model consist of 2 cubes.
Width of model building = 2 * 1/6 cm = 1/3 cm
The height of the model consist of 3 cubes.
Height of model building = 3 * 1/6 cm = 1/2 cm
Volume of the model (cuboid) =
= Length * breadth * height
= [tex]\frac{2}{3} * \frac{1}{3}*\frac{1}{2} = \frac{1}{9}[/tex]
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what are facts about cross-sections (math)?
Answers
Answer: A cross section is the shape we get when cutting straight through an object.
Step-by-step explanation: