Tom runs a car dealership that currently
has 21 pickup trucks and 35 SUVs. He
wants to divide the lot into areas that
have either pickup trucks or SUVs, and
he wants the same number of vehicles
in each area. What is the largest number
of vehicles Tom can put in one area?

Answers

Answer 1

The answer is 7, because the factors of 21 are 1,3,7,21 and for 35 is 1,5,7,35 and the greatest of those is 7.

Answer 2

The highest no. of vehicles Tom can put in one area is 7 SUVs and 7 pickup trucks.

What are GCF and distributive property?

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Given, Tom runs a car dealership that currently has 21 pickup trucks and 35 SUVs.

∴ If he wants to divide the lot into areas that have either pickup trucks or SUVs,  and he wants the same number of vehicles in each area the largest number of vehicles Tom can put in one area is is GCF of 7 and 35 which 7.

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Related Questions

1. Verify that the function
satisfies the three
hypotheses of Rolle's
Theorem on the given
interval. Then find all
numbers c that satisfies the
conclusion of Rolle's
The orem.
y=-x^3+ 4x^2 – 3 ; [0, 4]

Answers

Answer:

0 and 8/3

Step-by-step explanation:

y is continuous on [0,4]

It also also differentiable on (0,4)

Plugging in 0 and 4, we get -3 both times so y(0) = y(4).

Therefore there is at least one value c between 0 and 4 inclusive where y'(c) = 0

y' = -3x^2 + 8x

Set that to 0:

-3x^2 + 8x = 0

x(-3x+8) = 0

x = 0 or 8/3

And both values work.

a jewelry shop mix and sell pearls necklaces the shop has a total of 6832 pearls each necklace has 16 pearls Marvin says that the greatest number of necklaces the jeweler can make with all of the pearls in the shop is 682 . marvin work is shown below. explain why Marvin answer is incorrect and how he can find the correct answer. plz help quick.​

Answers

Step-by-step explanation:
You will divide 16 into 6,832 then you will do 16 times 4 and it will give you 64 and you subtract that and you will get 43 and then do 16 times 2 and you will get 32 and you subtract 43 and 32 then you will multiply 16 times seven and you will get 112 and subtract that by 112 and you will get zero.

What is this -r-2r+5

Answers

Answer:

-6r+5 by combining like terms

What is the slop of the line that passes through the points (1,3) and (2,1)

Answers

Answer:

-2

Step-by-step explanation:

I am confused ;-; pls help

Answers

Answer:

B

Step-by-step explanation:

f(x)=-(2) * + 4
What is the range of this function

Answers

Answer: f(x) = 2

Step-by-step explanation:

I think this is the answer I hope it helps u

If a,b and c are the sides of a triangle where a = 12, b = 5 and c = 13 is this a right triangle ?

Answers

Answer:

yes

Step-by-step explanation:

To determine if the sides form a right triangle.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then triangle is right.

longest side is c = 13

13² = 169

a² + b² = 12² + 5² = 144 + 25 = 169

Since c² = a² + b² = 169

Then the sides form a right triangle

Travis is deciding how to study math tonight he is choosing between studying ofG patterns P or equations E he also is deciding whether he should use a textbook T or videos V to study he’ll choose one topic in one method of learning which list shows all possible combinations of all Travis could study

Answers

Answer:

GT, GV, PT, PV, ET, and EV.

Step-by-step explanation:

Given that

The number of topics Travis has to chose from are 3 topics(G, P, E).

The number of ways Travis can study each topic are 2 ways(T, V).

Essentially, the number of combinations Travis is expected to be able to chose from is given as

The number of combinations = The number of topics * The number of ways

The number of combinations = 3 * 2

The number of combinations = 6

Therefore, the total possible combinations has to be

GT, GV, PT, PV, ET, and EV

I'm gonna take a picture​

Answers

Answer:

???

Step-by-step explanation:

The outside wall of a dollhouse has the shape of this polygon. What is the area of the polygon?

Answers

What polygon are you talking about?, there isn’t a picture provided.

Help pls fast as possible

Answers

Answer:

In the middle the narration changes to the inner dialogue of Leamas. We are given the opportunity to be with his thoughts and experience the character for ourselfs

Answer:

The experimental and theoretical probabilities will be completely random because flipping the coin which, of course, has two different sides, the probability is cut perfectly in half.

hope this helps

Step-by-step explanation:

find the measurement of the missing angles

Answers

Answer:

every angle is 90°

Step-by-step explanation:

PLEASE HELP:)
Find the value of x. Round your answer to the nearest tenth

Answers

Answer:

[tex]x=42[/tex]

Step-by-step explanation:

Since we use the sides opposite and adjacent to the given angle, we will use the tangent ratio:

[tex]tangentX=\frac{opposite}{adjacent}[/tex]

Insert the given values:

[tex]tanX=\frac{9}{10}[/tex]

Since we need to find the angle, use the inverse:

[tex]x=tan^{-1}(\frac{9}{10})[/tex]

Insert the equation into a calculator:

[tex]x=41.98721249[/tex]

Round to the nearest tenth:

[tex]x=42.0[/tex]

:Done

Answer:

it rounds to 42.0, using tangent

Step-by-step explanation:

give other person brainliest

Which inequality is graphed on the coordinate plane?

Answers

Answer:

The answer is B

[tex]y<-\frac{1}{4} x+2\\[/tex]

Step-by-step explanation:

Let:

[tex](x1,y1)=(0,2)\\(x2,y2)=(4,1)\\m=\frac{1-2}{4-0}=-\frac{1}{4} \\y-y1=m(x-x1)\\y-2=-\frac{1}{4} (x-0)[/tex]

Since the line is dotted and the area is below the line:

[tex]y<-\frac{1}{4}x+2[/tex]

PLEASE MARK ME AS BRAINLIEST



A store sells
pound of beef for $0.75. If you are having a party and need 6 pounds of beef for hamburgers, using the unit rate, how much would it cost
0 A $3.00
O B. $12.00
O C. $18.00
O D. $24.00

Answers

C
Hope this helps!!!!!

Guess a number from 1 -10
ill mark u brainliest if u get it right

Answers

Answer:

Step-by-step explanation:

-7

Need help again lol ...

Answers

Answer:

i got you

Step-by-step explanation:

2 is 142

4 is 142

(they are parallel therefore they are the same :))

plz help I need help
help !!!!!!

Answers

Answer:

W=4

Step-by-step explanation:

When you plug 4 into w, it changes into 4/8 which simplifies to 1/2.

1/2 times 6 is 3.

11+3=14

find an expression for the nth term (t_n) in each of the following​

Answers

Answer:

[tex]\boxed{\pink{\tt\longmapsto The \ nth \ term \ of \ the \ sequence\ is \ given \ by \frac{1}{n}}} [/tex]

Step-by-step explanation:

A sequence is given to us is , and we need to find expression for nth term of the sequence. The given sequence is ,

[tex]\boxed{\boxed{\blue{\qquad\bf 1 , \dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5},\dfrac{1}{6}}}}[/tex]

When we flip the numbers , we can clearly see that the number are in Harmonic Progression.

That is when we flip the numbers they are found to be in Arithmetic Progression .

And nth term of an Harmonic Progression is :-

[tex]\boxed{\purple{\bf T_{(Harmonic \ Progression)} = \dfrac{1}{a+(n-1)d}}} [/tex]

Hence here

Common difference = 1First term = 1 .

Substituting the respective values,

[tex]\bf\implies T_{n}= \dfrac{1}{a+(n-1)d} \\\\\bf\implies T_{n} = \dfrac{1}{1+(n-1)1}\\\\\bf\implies T_n = \dfrac{1}{1+n-1}\\\\\bf\implies\boxed{\red{\bf T_{n}=\dfrac{1}{n}}}[/tex]

Hence the nth term of the given sequence is given by ¹/n .

whats the area of 5 and 16

Answers

Answer:

The area of a shape that has a length of 5 and a width of 16 is 80.

Step-by-step explanation:

Just multiply 5 by 16.

8. Solve the absolute value inequality and graph the solution.
|3x - 9]>12
9. Solve the absolute value inequality and graph the solution.
1-2x + 111 + 3 < 8
HHH

Answers

|3x-9|>12=x >7 or x >-1

pls hurry !!
8x+2=5x+12 simplified fraction

Answers

Answer: 10/3

Step-by-step explanation: trust me my guy g o o g l e is always correct

Answer:

hope this helps

Step-by-step explanation:

Pleaseeee helppppp meeeeee

Answers

Answer:

the answer is (1)

Step-by-step explanation:

k = am +3mx

i) factorize out m from the expression

k = m(a+3x)

ii) rearrange the equation using commutative property

m(a+3x) = k

iii) divide both sides of the equation by (a+3x)

[tex] \frac{m(a+3x)}{(a + 3x)} = \frac{k }{(a + 3x)} [/tex]

[tex]m = \frac{k }{a + 3x} [/tex]

The graph shows the cost, C, of sending m text messages. What is the cost per message?

A. $0.05 per message
B. $0.25 per message
C. $0.15 per message
D. $0.10 per message

Answers

Answer:

C.$0.15 I TOOK IT ON STUDY ISLAND

Step-by-step explanation:

First, you want to find an exact point on the graph.  What I mean by this is you want to go somewhere on the graph where the line goes through an exact y and x value.

Second, you want to figure out where this x and y value are.  Where the graph first goes through two points is at (20, 3).

Third, you want to figure out what the 20 and the 3 mean.  20 is the number of messages and 3 is the dollar amount.

Finally, to calculate the amount of money per message, you divide the dollar amount (3) by the number of messages (20).  So, you have 3/20.  After this, simplify 3/20 to get 0.15, or 15 cents per message.

WILL MARK BRAINLEST PLZZ HELPPP!!!!!!!!

Answers

Answer:

b =  18.56

c =  12.75

A = 40°

Step-by-step explanation:

Law of sines: a/sinA = b/sinB= c/sinC

12 / sin (180°-97°-43°) = b/sin97° = c/sin43°

12/sin40° = 12/0.64 = 18.75

b = 18.75 x sin97° = 18.75 x 0.99 = 18.56

c = 18.75 x sin 43° = 18.75 x 0.68 = 12.75

check: 12/sin40° = 12/0.64 = 18.75

b: 18.56 sin97°=0.99      18.56/0.99 = 18.747 ≈ 18.75

c: 12.75   sin43° = 0.68   12.75/0.68 = 18.75

How many different triangles can you make that have angels 60˚, 60˚, 60˚ ?

Answers

Answer:

Infinite

Step-by-step explanation:

A triangle that has all 60-degree angles is equilateral, which means that all side lengths are the same. However, there are infinite possibilities for the side lengths!

I hope this helped, please give brainliest if this is correct! Thank you!

Can make infinite amounts of triangles

Please solve using the picture!!!

Answers

Anwser: C



Explanation: cause its C
A because it would go to Q4 and from there fipp over the X-axis

A wire is first bent into the shape of a square. Each side of the square is 9cm long. Then the wire is unbent and reshaped into a rectangle. If the length of the rectangle is 13cm, what is its width

Answers

Answer:

5 cm

Step-by-step explanation:

the perimeter of a square with sides of 9 cm is 36 cm so the rectangle must have the same perimeter

if the length of the rectangle is 13cm, its opposite side is also 13cm

add 13 + 13 to get 26

let 'n' = width of rectangle

perimeter = 26 + n + n

36 = 26 + 2n

2n = 10

n = 5

If the length of the rectangle is 13 cm then the width of the rectangle will be equal to 5 cm.

What is the perimeter?

A shape's perimeter is the whole distance encircling it. It is the perimeter or length of the contour of any two-dimensional geometric body. The circumference of several figures could be compared based on the measurements.

As per the information given in the question,

Length of the side of the square = 8 cm

Then, use the formula of the perimeter of the square = 4 × side

= 4 × 9 = 36 cm

The length of the rectangle = 13 cm

Use the formula of the perimeter of the rectangle,

P = 2(l + w)

36 = 2(13 + w)

36 -26 = 2w

w = 10/2

w = 5 cm

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K/3+4-5k=-2k what is the answer???

Answers

Answer:

Solve for k by simplifying both sides of the equation, then isolating the variable.

Exact Form: k = 3/2

Decimal Form: k = 1.5

Mixed Number Form: k = 1  1/2

Hope this helps!

Answer:

k = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{k}{3}[/tex] + 4 - 5k = - 2k

Multiply through by 3 to clear the fraction

k + 12 - 15k = - 6k

- 14k + 12 = - 6k ( add 14k to both sides )

12 = 8k ( divide both sides by 8 )

k = [tex]\frac{12}{8}[/tex] = [tex]\frac{3}{2}[/tex]

True or false?
67.1 < 67.09
True or false?
1880.09 < 1880.023

Answers

Question:




Answer: true

Answer:

Step-by-step explanation:

67.1< (less than) 67.09

False

1880.09< (less than) 1880.023

False

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