The ratio of cars to vans at “Mason’s Used Cars” is 7:5. The ratio of cars to vans at “Hyland Auto” is 4:3. There are 60 vans in each used car lot.
Which lot has more cars? How many more?
“Hyland Auto” added 2 vans (add to 60). Does this make the ratio the same in both cases? Explain.
Show all of your work.

Answers

Answer 1

Answer:

Mason's has 4 cars more.

no, it is still not the same ratio.

Step-by-step explanation:

each lot has 60 vans.

the ratio of cars/vans at Mason's is 7:5.

this means for every group of 5 vans there are 7 cars.

how many groups of 5 vans are there ? 60/5 = 12

so, for each of the 12 groups of 5 vans there are 7 cars.

=> 12×7=84

another way to get there (and faster) :

you can also say that a ratio is actually a division.

7:5 is 7/5

so, 60 × 7/5 = 12 × 7 = 84

in any case, Mason's has therefore 60 vans and 84 cars.

Hyland also has 60 vans, but a ratio of cars to vans of 4:3.

let's do the fast route :

60 × 4/3 = 20 × 4 = 80

Hyland has therefore 60 vans and 80 cars.

so, Mason's has more cars (4 more than Hyland).

now Hyland adds 2 vans, having then 62 vans and still 80 cars.

so, the ratio cars to vans is now 80:62. or 80/62

=> 80/62 = 40/31 which cannot be further simplified, as 31 is a prime number.

40/31 is not equal to 7/5. so, it is still not the same ratio.


Related Questions

please simplify

4(57ab)⁰

no links, answer quickly,please​

Answers

Answer:

4

Step-by-step explanation:

Using the rule of exponents

[tex]a^{0}[/tex] = 1

Then

4[tex](57ab)^{0}[/tex] = 1 and

4[tex](57ab)^{0}[/tex] = 4 × 1 = 4

Answer:

4

Step-by-step explanation:

since 57ab has power 0 it is equal to 1

1×4 is 4

HOW DO I SOLVE THIS???!!

Answers

Answer:

K=32

Step-by-step ex

Solve the system of linear equations. Check your solution.
x+2y = 8
6x +9y = 39


(-14,-3)
(-2,-3)
(14,3)
(2,3)


Answers

Answer:

answer d... (2,3)

Step-by-step explanation:

goodluck man!

The answer would be (2,3)

Find the Volume: 3.2 cm
7 cm
4.8 cm

Answers

v = 0.5*b*h*l
v = 0.5*4.8*3.2*7
v = 0.5*107.52
v = 53.76cm3

Find the sum of the three expressions and choose the correct answer.

-2u3v + 5uv - 1

7u3v - 2u2v2

5u2v2 - uv + 6

5 u3v + 3 u2v2 + 4 uv + 5
5 u3v - 3 u2v2 + 4 uv - 5
-5 u3v - 3 u2v2 + 4 uv + 7

Answers

⫸ ANSWER ⫷

5 u³v + 3u²v² + 4 uv + 5 is the ans

HOPE IT HELPS YOU!!!!!!(:

Answer:

5 u³v + 3u²v² + 4 uv + 5

Step-by-step explanation:

(5r+6)° (8r+5)°=180
I need help with this!!!!

Answers

Answer:

 r = 1.22821395 … , − 3.05321395 …

Step-by-step explanation:

Solve the equation for  r  

by finding  a ,  b , and  c of the quadratic then applying the quadratic formula.  Exact Form:  r  =  − 73 − √ 29329 80 , − 73 + √ 29329 80  

Decimal Form:   r = 1.22821395 … , − 3.05321395 …

Have a nice day, and I hope this helps!

-kiniwih426

Write the augmented matrix for the system of linear equations. (Do not perform any row operations.)
{x − y + 3z = 3
{9x − 4y + z = −1
{3x + y = 0

Answers

Step-by-step explanation:

Write the system of equations as an augmented matrix. Then solve for x and y.

3x+y=-11

-9x-3y=33

At the Galapagos Islands, Dr. Owen finds 102 giant tortoise eggs that he brings back to his research center to be hatched in safety. At the research center, six of the eggs hatch, and the hatchlings are placed in a nursery. Dr. Owen places equal but unknown numbers of the remaining eggs in eight different labs.

Which of the following equations best represents this situation?

Question 5 options:

8x-6=102


102x=8-6


6x+8=102


8x=102-6

Answers

Answer:

8x-6=102

Step-by-step explanation:

8x the remaining eggs in 8 different labs and the 6 that are placed in the lab and the total is 102 so 8x-6=102

Write each binomial square as trinomial [tex](x-1)^2[/tex]

Answers

x^2 −2 x+1 I hope that helps!

3(n+4)=21 what does n =?

Answers

Answer:

3.

Step-by-step explanation:

3(n + 4) = 21

3n + 12 = 21

3n = 21 - 12 = 9

n = 3.

Answer:

n = 3

Step-by-step explanation:

Given

3(n + 4) = 21 ( divide both sides by 3 )

n + 4 = 7 ( subtract 4 from both sides )

n = 3

Mara drew this net to find the surface area of a triangular prism. Which is the surface area of the triangular prism?
A.312
B.402
C.372
D.492
(Square cm)​

Answers

Answer:

C.372

Step-by-step explanation:

A prism is a three dimensional shape with two identical shapes facing each other known as bases.

A triangular prism has two triangular bases and three rectangle.

From the net attached:

Area of triangle 1 = area of triangle 2 = (1/2) * base * height = (1/2) * 10 cm * 12  cm = 60 cm²

Area of rectangle 1 = Area of rectangle 2 = length * width = 13 cm * 7 cm = 91 cm²

Area of rectangle 3 = base * height = 10 cm * 7 cm = 70 cm²

Total surface area = Area of triangle 1 + Area of triangle 2 + Area of rectangle 1 + Area of rectangle 2 + Area of rectangle 3

Total surface area = 60 + 60 + 91 + 91 + 70 = 372 cm²

Erika's first and second quarter grades are shown below. What grade does she need in
math in order to have an overall average equivalent to the first quarter? Write your answer
in the box.

Answers

Answer:

She would need an 83 in math if she wants to have an overall average equivalent to the first quarter . Tell me if im wrong

Step-by-step explanation:


??anyone wanna help plz give me a answer not a link and ty

Answers

Answer:

light blue

bbbbbbbbccccc i said and brainly wont just let me type the answer if im wrong sorry

The function V=25000\left(0.82\right)^tV=25000(0.82) t models the depreciation of the value of a new car that originally cost $\text{25,000}25,000. VV represents the value of the car and tt represents the time in years from the time the car was purchased. What is the value of the car after 6 years?

Answers

Answer:

V = 7,600.17

Step-by-step explanation:

Given:

V=25000(0.82)^t

Where,

V = value of the car

t = time in years

Find V when t = 6

V = 25,000(0.82)^t

= 25,000(0.82)^6

= 25,000(0.304006671424)

= 7,600.1667856

Approximately

V = 7,600.17

what’s the volume ??
no links

Answers

Question:

What’s the volume ?

Answer:

Volume: 8663.2

Area : 392

Step-by-step explanation:

The formula for volume is length times width times height (L x W x H)

So

28 x 28 = 784 x 22.1 = 17326.4 (Crazy right) But this is not the answer. A triangle is half of a Square so we divde by 2

17326.4 / 2 = 8663.2

The Volume is 8663.2

And if you are looking for the Area it's 392

Help me with this math problem please!

Answers

Answer:

1. 1.5 inches

2. 1 inch

3. 1.75 inches

4. 1.25 inches

5. 2 inches

Step-by-step explanation:

im guessing that you're asking what each place is.

Solve for x. Round to the nearest tenth. ​

Answers

Answer:

22.8

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\20^{2} +11^{2} =x^{2} \\400+121=x^{2}\\\sqrt{521} =x\\\\or\\\\22.8 = x[/tex]

15 points
Solve the following System of Equations:
3x + 5y = 9
x - y = -5
Which of the following steps are correct for the solution?
SELECT ALL THAT APPLY.
(Select all that apply)
He multiplies the second equation by 5 and adds it to the first
equation to obtain 5x-5y= 10 after adding the 2 equations
He multiplies the second equation by -3 to eliminate the x
variable
He multiplies the second equation by -3 and adds it to the first
equation to obtain 8y = 24
The solution to the system is (-23)
The y-value for the solution is -3

Answers

[tex]_____________________________________[/tex]

ANSWER:

[tex]\tt\large{y=\frac{9}{2}}[/tex]

[tex]\tt\large{x=-5+y}[/tex]

[tex]_____________________________________[/tex]

꧁____YunaKoharuChan____꧂

Can someone please help

Answers

Answer:

Step-by-step explanation:

What do u need help with???

Answer:

-10

Step-by-step explanation:

-6400,-4800,-3600,-2700

Answers

-17,500 that’s the answer!:)

Someone please help me out!

Answers

Answer:

It is 3

Step-by-step explanation:

Max = how high it will go at most

Min. = how low it will go at most

It’s C. 3
Explanation: Maximum is the highest the line goes and the minimum is the lowest the line goes.

enter the value of 5 times (1 + 3.2).

Answers

that would be 21 my friend

Which of the following is a true sentence? *
-7 > +5
w
O
-7 > +7
O
-7 < +5
O
0 <-5​

Answers

Answer:

Step-by-step explanation:

I have the same question :(((

Hdhdudus dhdhdhdh dhdhdhdh dhdhdhdh HD dhdhdhdh

20 POINTS!!!

Calculate the volume of the right triangular prism shown below.

Answers

Answer:

630cm³

The volume of the right triangular prism is 630cm³.

-|3+2x|+1 [tex]\leq[/tex] -2

Answers

Answer:

x ≤ -3 ∨ x ≥ 0

Step-by-step explanation:

3+ 2x ≥ 0

2x ≥ -3

x ≥ -3/2

if x ≥ -3/2

-2x - 3 + 1 ≤ -2

-2x ≤ 0

x ≥ 0

if x ≤ -3/2

2x + 3 + 1 ≤ -2

2x ≤ -6

x ≤ -3

x ≤ -3 ∨ x ≥ 0


[tex]find \: the \: area \: of \: cylinder \: \\ \\ height \: = 4cm \\ \\ base \: radius \: = 6cm \\ \\ [/tex]

Answers

Answer:

Curved Surface Area = 48π cm² (≈ 150.72 cm²)

Total Surface Area = 120π cm² (≈ 376.8 cm²)

Step-by-step explanation:

GIVEN :-

Height of cylinder = 4 cmBase radius = 6 cm

TO FIND :-

Area of cylinder

GENERAL FORMULAES TO BE USED IN THIS QUESTION :-

Curved Surface Area of cylinder = 2πrh

Total surface Area of cylinder = 2πrh + 2πr² = 2πr(h + r)

SOLUTION :-

Curved Surface Area of cylinder = 2×π×6×4 = 48π cm² ≈ 150.72 cm²

Total Surface Area of cylinder = 2×π×6(4 + 6) = 120π cm² ≈ 376.8 cm²

What is the equivalent expression for —0.5(t-6)

Answers

Answer:

−0.5t+3

Step-by-step explanation:

Which of the following triangle lengths form right triangles? Select all that apply
11.13)
(10,24, 26)
(12.16, 20)
(12.35 37)
(13.15, 19)

Answers

Answer:

well in order to make a trangle they mus add up to be greater than a side sooo  i guess thats right so..... idek theres calculators online and stuff like that and you can also go on line and search woill this make a triangle calcs and theyll let you p0ut meaasurements and stuff like that to model them for you

Step-by-step explanation:

Answer:

B C D

Step-by-step explanation:

just took the quiz edge 2021

Please solve with explanation

Answers

5. (16m + 24) units
6. 380 small blocks

Explanations:

5.
Side in ABCD = 16m + 24
Side in EFGH = 3/4(Side in ABCD) = 3/4(16m + 24) = 12m + 18

Perimeter of ABCD = 4(16m + 24) = 64m + 96
Perimeter of EFGH = 4(12m + 18) = 48m + 72

Difference of perimeters = 64m + 96 - 48m - 72 = (16m + 24) units

6.
Large blocks : Small blocks = 3 : 20
57/Small blocks = 3/20
3 x Small blocks = 1140 (Cross multiplication)
Small blocks = 1140/3
Small blocks = 380

**PIC INCLUDED**
What is the total payment
required to pay off a promissory
note issued for $500.00 at 10%
ordinary interest and a 180-day
term?

Answers

Answer:

the total payment need to pay is $525

Step-by-step explanation:

Given that

The amount at promissory note issued is $500

The rate of interest is 10%

And, the time period is 180 days

So, the total payment included is

= $500 + ($500 × 10% × 180 days ÷ 360 days)

= $500 + $25

= $525

hence, the total payment need to pay is $525

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