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

Write each quadratic expression in standard form. Draw a diagram if needed.
(x+4)(x-1)

Answers

Answer:

The standard form of the quadratic equation is x² + 3·x - 4 = 0

Step-by-step explanation:

The standard form of a quadratic equation is a·x² + b·x + c = 0

Given that the expression of the quadratic equation is (x + 4)·(x - 1) = y, we can write the given expression in standard form by expanding, and equating the result to zero as follows;

(x + 4)·(x - 1) = x² - x + 4·x - 4 = x² + 3·x - 4 = 0

The standard form of the quadratic equation is x² + 3·x - 4 = 0

The graph of the equation created with MS Excel is attached

Can someone help me please

Answers

Answer:

its the 1st answer choice/A

Step-by-step explanation:

there is 10 people who are 25-29, and 5 people 20-24, so 10+5=15 so 15 people are younger than 30

Use distributive property to rewrite 6m(3n+1) in its equivalent form

Answers

Step-by-step explanation:

Use distributive property to rewrite 6m(3n+1) in its equivalent form

Answer:

Sate why the measure of angle d is 120 degrees

Write an equation of the line that passes through (0,9) and is parallel to the line y = 8x+7.

Answers

Answer:

[tex]y=8x+9[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slopes and different y-intercepts

1) Determine the slope

[tex]y = 8x+7[/tex]

From the given equation, we can identify 8 to be in the place of m, making 8 the slope. Because parallel lines always have the same slopes, the line we're currently solving for will also have a slope of 8. Plug this into [tex]y=mx+b[/tex]:

[tex]y=8x+b[/tex]

2) Determine the y-intercept

[tex]y=8x+b[/tex]

The y-intercept occurs when x=0. The given point is (0,9), telling us the the y-intercept is 9. Plug this into [tex]y=8x+b[/tex]:

[tex]y=8x+9[/tex]

I hope this helps!

Line t intersects line u, as shown below.
11
(2x +17)
125°
What is the value of x?
A 54
B
71
С
108
125

Answers

9514 1404 393

Answer:

  A.  54

Step-by-step explanation:

The two marked angles are "vertical angles," so are congruent.

  125° = (2x +17)°

  108 = 2x . . . . . . . . divide by °, subtract 17

  54 = x . . . . . . . . . . divide by 2

Answer:

x=54

Step-by-step explanation:

2x+17 will be kept equal to 125

so 2x+17=125

    2x=125-17

    2x=108

    x=[tex]\frac{108}{2}[/tex]

    x=54 ans

A yogurt shop offers five different flavors of frozen yogurt and twenty different
toppings. How many choices are possible for a single serving of frozen yogurt with
one topping?

Answers

I believe that the answer is 84 possible choices

Please help quickly !!

Answers

Since these are right triangles, we can use Pythagorean Theorem.

Pythagorean Theorem: a^2 + b^2 = c^2

50^2 + 20^2 = c^2

2500 + 400 = c^2

2900 = c^2

c = sqrt[ 100 * 29]

c = 10 sqrt[29]

In the boxes, a = 10, b = 29.

Hope this helps!! :)

A charity says, For every pound you give, we spend 75p on charity work, 24p on advertising and 1p on office work.
Hassan gives £150 to the charity.
How much of this will be spent on office work?

Answers

Answer:

1.5

Step-by-step explanation:

So 1% goes on office work

and 1%=0.01

Then we can multiply 0.01 by 150 to get the answer:)

plz give brainliest:)

need this for final

Write the following statement as an algebraic expression: Five less than the product of 4 and a number.
Group of answer choices

5(4 - x)

5(x - 4)

4x - 5

5 - 4x

Answers

Answer:

D

Step-by-step explanation:

it means 5 minus 4x where x is the coefficient of x. Good luck.

please help i need help

no links or ill report you

Answers

The answer is d... 2 11/12

You randomly choose a letter from the word ENGAGEMENT. Find the probability of
choosing either an N or an A.

Answers

Answer:

3:10

Step-by-step explanation:

there are 2 N's and 1 A

Answer:

3/10 or 3:10

Step-by-step explanation:

There are a total of 10 letters in the word ENGAGEMENT. The probability of choosing an N or and A is 3 because there are 2 N's and 1 A for a total of 3 possibilities out of the total number of letters which is 10.


Find the height of the cylinder given the surface area and one
other dimension:r = 5 in SA
659,4 in?

Answers

Answer:

C 16 inches

Step-by-step explanation:

a cylinder is 2 circles (1 on top, 1 at the bottom) and a round "mantle" connecting the two circles.

so, the surface area is the sum of the areas of both circles and the "mantle".

this "mantle" can be cut open and cut off the circles, and then be placed flat on the table. then it is simply a rectangle with the side lengths cylinder height (h) and circle circumference.

circle area : pi × r²

circle circumference : 2 × pi × r

rectangle area :

length × width = circle circumference × h

SA = 659.4 inches² = 2×(pi × r²) + (2×pi×r)×h =

= 2×pi×25 + 2×pi×5×h = 50×pi + 10×pi×h

=> 659.4 - 50×pi = 10×pi×h

=> (659.4 - 50×pi) / (10×pi) = h = 16 inches


5.6 cm
8.2 cm
Area =_______

Answers

Answer:

Hello! answer: 22.96

Step-by-step explanation:

Area is base × height × 1/2 or base × height ÷ 2

Im going to use the second method.

8.2 × 5.6 = 45.92 45.92 ÷ 2 = 22.96 therefore the answer is 22.96

22.96 cm

5.6 x 8.2 = 45.92
45.92/2 = 22.96

If f(x)=7(x-1)+8f(x)=7(x−1)+8 , what is the value of f(1)f(1) ?

Answers

Answer:

8

Step-by-step explanation:

All you have to do is plug in 1 for the x value, which leaves you with the equation 7(1-1) + 8, then you simplify it to be 7(0) + 8

7 times 0 is 0, so you are left with 8 as your answer

What does likelihood mean in math

Answers

Likelihood is the probable chances of occurrence of an event.

It simply means: what’s the chance “x” will occur?

I have a jar with 20 candies of which 10 are red, 5 are blue, 3 are green, and 2 are white. If I randomly grab 1 candy, what’s the likelihood it’ll be red? In other words: what’s the *chance* it’ll be a red candy?

(It’s 10/20 = 1/2 = 50%, by the way, but it’s just an example).

Will give brainliest

The ages of two groups of karate students are shown in the following dot plots:


A dot plot shows Age in years on the horizontal axis. For Group A, there are 2 dots on 4, 5 dots on 5, 3 dots on 7, 4 dots on 8, 2 dots on 9, 2 dots on 11, and 1 dot on 14. For Group B, there is 1 dot on 7, 2 dots on 8, 1 dot on 9, 1 dot on 11, 1 dot on 16, 2 dots on 19, 2 dots on 20, 2 dots on 21, and 1 dot on 26.


The mean absolute deviation (MAD) for group A is 2.07 and the MAD for group B is 5.51. Which of the following observations can be made using these data?


Group A has greater variability in the data.

Group A has less variability in the data.

Group B has a lower range.

Group B has a lower mean.

Answers

Answer:

Group A has greater variability in the data.

Step-by-step explanation:

We use elimination. Clearly, from the MAD, Group A has greater variability in the data.

So, choice 1.

(trigonometry) solve for x

Answers

Answer:

x= about 36.9

Step-by-step explanation:

We have 2 known factors, the degree of 31 and 19 for a side.

19 and x are opposite and hypotenuse of the angle of 31.

sin 31 = 19/x

We isolate and do

19/sin 31

we gots more babeyyy
I just need assistance, or put me in the right direction, something-
I've got till the end of the day, and this will determine my final grade
please help if you can​

Answers

5x + 16 = ( 2x + 14 ) + 32

...............................................

This the clue and the right direction

You got this

Aubrey came across an ad for a brand new gym that does not charge a sign-up fee but charges a membership fee of $52.00 per month. She is trying to decide which gym would be the best option if she's only planning on joining for 6 months. A. What would be the total cost for 6 months of membership at her local gym? (Charges $18.00 per month plus a sign-up fee of $95.00 ; Use the expression 18m+95 to find your answer.) B. What would be the total cost for 6 months of membership at the brand new gym? (Charges $52.00 per month and no sign-up fee. Use the expression 52m to find your answer.) C. Which gym would be the better deal for a 6 month membership? (Write either: Local Gym OR New Gym )

Answers

Answer:

LOCAL GYM

Step-by-step explanation:

Local gym :

Signup fee = $95 ; monthly cost = $18

6 months cost :

18m + 95

18(6) + 95 = $203

6 months cost at new gym :

$52 per month

Cost = $52 * 6 = $312

The best gym for a 6 month deal is the local gym

Local gym Cost < new gym cost

A survey of teens suggested that 33% can name at least one professional baseball player, and 90% of those teens can also name at least one professional football player. In the entire population, 64% can name at least one professional football player. What percentage of teens can name at least one player from these sports? (0.33)(0.64) = 0.2112 0.33 + 0.64 = 0.97 0.33 + 0.64 – (0.33)(0.64) = 0.7588 0.33 + 0.64 – (0.90)(0.33) = 0.673

Answers

Answer:

[tex]d.\ 0.33 + 0.64 – (0.90)(0.33) = 0.673[/tex]

Step-by-step explanation:

Given

[tex]P(Baseball) = 33\%[/tex]

[tex]P(Baseball\ n\ Football) = 90\%[/tex]

[tex]P(Football) = 64\%[/tex]

Required

[tex]P(Baseball\ or\ Football)[/tex]

This is calculated as:

[tex]P(Baseball\ or\ Football) =P(Baseball) + P(Football) -P(Baseball\ n\ Football)[/tex]

[tex]P(Baseball\ or\ Football) = 0.33 + 0.64 - (0.90)(0.33)[/tex]

[tex]P(Baseball\ or\ Football) = 0.33 + 0.64 - 0.297[/tex]

[tex]P(Baseball\ or\ Football) = 0.673[/tex]

HELPPPP PLEASEEE IM BEGGING SOMEONE PLEASE PLEASE HELP

Answers

Given:

The figure of a rhombus QRST.

To find:

A. The value of x.

B. The measure of angle RQP.

Solution:

A. We need to find the value of x.

We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.

[tex]m\angle RPS=90^\circ[/tex]                       [Right angle]

[tex](5x+15)^\circ=90^\circ[/tex]

[tex](5x+15)=90[/tex]

[tex]5x=90-15[/tex]

[tex]5x=75[/tex]

Divide both sides by 5.

[tex]x=\dfrac{75}{5}[/tex]

[tex]x=15[/tex]

Therefore, the value of x is 15.

B. We need to find the measure of angle RQP.

From the given figure, it is clear that

[tex]m\angle RQP=(2x+3)^\circ[/tex]

Putting [tex]x=15[/tex], we get

[tex]m\angle RQP=(2(15)+3)^\circ[/tex]

[tex]m\angle RQP=(30+3)^\circ[/tex]

[tex]m\angle RQP=33^\circ[/tex]

Therefore, the measure of angle RQP is 33 degrees.

Instructions: Find the missing angle measures in the given rhombus.

Answers

I can’t see it broooo

help, there are more questions liek this

Answers

Answer:

14.55'

Step-by-step explanation:

Cosine rule

c^2 = a^2 + b^2 - 2ab cos(C)

here

a=11

b=23

C = 150°

Substitute in cosine rule,

c^2 = 11^2 + 23^2 - 2(11)(23) cos (150°)

= 121 + 529 -2 (11) (23) sqrt(3)/2

=211.791

c = sqrt(211.791)

= 14.55

Solve for x and graph the solution on the number line
15 > 2x – 9 > -23

Answers

The answer is 12>x>-7

Step-by-step explanation:

it's first divided into 2 parts

1 . 15 > 2x - 9

2. 2x - 9 > -23

Then solve them individually.

let's do it,

First half

15 > 2x - 9

15+9 > 2x

24 > 2x

24/2 > x

12>x

Second half

2x-9>-23

2x>-23+9

2x>-14

x>-14/2

x>-7

Joining of the two halves

We have :

12>x>-7

There are 250 students in a class the ratio of boys to girls is 3:2 how many boys are there?

Answers

Answer:

total no of children = 250

let no.of boys be = 3x

let no.of girls be = 2x

equation = 3x+2x= 250

              = 5x= 250

             = x= 250\5

             = x= 50

so, no,of boys = 3x = 3x50 = 150

and no,of boys = 2x = 2x50 = 100

heres ur ans ,

hope it does help u !

if so plz mrk the brainliestt !!!!!

HELP ME PLEASE I REALLY NEED IT!!

Find the RATIO and the EXACT VALUE of the given Sec B.​

Answers

Answer:

13/5

Step-by-step explanation:

Cos is the opposite of Sec si first find the Cos of B which is 5/13, which would mean the Sec B would 13/5.

Answer:

Step-by-step explanation:

Recall that the secant function is the reciprocal of the cosine function.  The cosine function is defined as

              adj side

cos Ф = ------------------

              hypotenuse

and so the secant function is

               hypotenuse                          13

sec Ф = ------------------  which here is --------- = sec B

              adj side                                     5

IMPORTANT! SOMEONE PLEASE LOOK AT MY UNANSWERED QUESTIONS FROM THE PAST HOUR!!! I REALLY NEED HELP!!!

Answers

Answer:

Step-by-step explanation:

kk

can anyone help me ?

Answers

Answer:

d

Step-by-step explanation:

The sum of the angles of a triangle is ALWAYS 180 degrees.

The answer is D because the sum of the angle s of a triangle is always 180 degrees

Which is the range of the relation y = 2x2 + 3x if the domain is the set {-2, -1, 0}?
A {10,1,0)
B.{-1,-5,0)
c. {2,-1,0)
D. (2. 1.0)

Answers

Given:

The function is:

[tex]y=2x^2+3x[/tex]

Domain is the set {-2, -1, 0).

To find:

The range of the given relation.

Solution:

We have,

[tex]y=2x^2+3x[/tex]

Substituting [tex]x=-2[/tex], we get

[tex]y=2(-2)^2+3(-2)[/tex]

[tex]y=2(4)+(-6)[/tex]

[tex]y=8-6[/tex]

[tex]y=2[/tex]

Substituting [tex]x=-1[/tex], we get

[tex]y=2(-1)^2+3(-1)[/tex]

[tex]y=2(1)+(-3)[/tex]

[tex]y=2-3[/tex]

[tex]y=-1[/tex]

Substituting [tex]x=0[/tex], we get

[tex]y=2(0)^2+3(0)[/tex]

[tex]y=0+0[/tex]

[tex]y=0[/tex]

The range for the given relation is {2, -1,0}. Therefore, the correct option is (c).

I need help Find x. 13 14 10 8

Answers

Answer:

BC/EF=AC/DF

• 24/16=21/x

• 3/2=21/x

• 3x=42

• x=14

------------------

Hope it helps....

Have a great day!!!

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