The ratio of red cars to blue cars in a parking lot was 5 : 3. If there were 40 red cars, how many blue cars were there?

Answers

Answer 1

Answer:

24 blue cars

Step-by-step explanation:

In this problem, one is given the ratio of red to blue cars in the parking lot. One is given the actual number of red cars, and one is asked to find the number of blue cars. One can set up a proportion; ratio to actual, then solve to find the number of actual blue cars using the method of cross-products. One can set up the proportion using the ratios, but it is easier to express the proportion as the equality of two fractions. Thus, the following equation can be formed, let the parameter (x) represent the actual amount of blue cars;

[tex]\frac{red}{blue}= \frac{5}{3} = \frac{40}{x}[/tex]

Cross products,

[tex]5x = 120[/tex]

Inverse operations,

[tex]x = 24[/tex]


Related Questions

The product of two factors is x2+ 6x + 8. If one of the factors is (x + 4), what is the other factor?

Answers

(x + 4) (x + 2)
=x^2 +2x + 4x + 8
=x^2 + 6x + 8
the other factor is (x + 2)

..Find the missing number? ​

Answers

Answer:

The missing number would be 17

Step-by-step explanation:

Answer: I think it’s 7

Step-by-step explanation:

Harry manages a sales force which sells several products in different sales territories. A random sample of 25 territories were selected and the data is provided in an Excel worksheet labelled Harrys. The variables include total sales credited to the sales representative (Sales), the length of time employed in months (time), the market potential (Poten), the advertising expense for the territory (AdvExp), the market share (Share), the change in market share over the previous three years (Change), the number accounts assigned to the sales representative (accounts), an index representing the workload (work), the rating on the last performance review (rating) and whether it is a star territory (star territories have performed well in the past).
Using the methods discussed in this class, determine the “best” regression model to predict Sales. Write a brief report (less than two pages) summarizing your analysis, including key statistical results, conclusions, and recommendations. Include any appropriate technical material in an appendix.

Answers

Answer:

13,000 i think

Step-by-step explanation:

Which product is greater than 63

Answers

3/2 x 63 is greater

Answer:

3/2 times 63

Step-by-step explanation: took quiz

Let the universal set U = {q, r, s, t, u, v, w, x,
y, z}; with
subsets A = (q, s, u, w, y); B = {q, s, y, z}; and C={v, w, x, y, z).
List the members of the indicated set, using set braces.
AUB​

Answers

AUB means adding all the members of set A and all the members of set B
A=(q,s,u,w,y) + set B=(q,s,u,y,s)
Therefore,AUB =(q,s,u,w,y,z)

f(x) = x²+1
What is f(f(x))?

Answers

Answer:

f(f(x)) = x⁴ + 2x² + 2

Step-by-step explanation:

if f(x) = x² + 1, then f(f(x)) is equal to:

f(x)² + 1

= (x² + 1)² + 1

= x⁴ + 2x² + 1 + 1

= x⁴ + 2x² + 2

Please help me
10 + 963 = ?

Answers

Answer:

hi

Step-by-step explanation:

10+963=973

have a nice day

Answer:

10+963= 973

Step-by-step explanation:

Answer 973

i hope this help

Question 4 Incorrect answer. Incorrect. Try again. Two suppliers manufacture a plastic gear used in a laser printer. The impact strength of these gears measured in foot-pounds is an important characteristic. A random sample of 10 gears from supplier 1 results in x Overscript bar EndScripts Subscript 1 Baseline equals 289.30 and and another random sample of 16 gears from the second supplier results in x Overscript bar EndScripts Subscript 2 Baseline equals 321.50 and Is there sufficient evidence to conclude that the variance of impact strength is different for the two suppliers

Answers

Answer:

Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers

Step-by-step explanation:

The given data is

Sample1 mean = x1` = 289.3

Sample 1 size = n1= 10

Sample 1 std. dev= s1= 22.5

Sample2 mean = x2` = 321.5

Sample 2 size = n2= 16

Sample 2 std. dev= s2= 21

1)Formulate the null and alternate hypothesis as

H0: σ₁=σ₂ against the claim Ha: σ₁ ≠σ₂

2)The test statistic is

t= (x1`- x2`) / √ s1²/n1+ s2²/n2

where degrees of freedom = d.f=

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

3) the significance level chosen is ∝= 0.05

4) Calculating the d.f

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

    = [21²/10 + 22.5²/16] / [(21/²10)² /9 + (22.5²/16)²/15]

= 18

5) the critical region for ∝= 0.05 for 18 d.f =  ±2.101 for two sided test

6) t= (x1`- x2`) / √ s1²/n1+ s2²/n2

t= 289.3- 321.5/√21²/10 + 22.5²/16

t= -32.2/√44.1+31.64

t= -32.2/8.0729

t= -3.9886

7) Conclusion

Since the calculated t = -3.9886 falls in the critical region t ∝/2 ≥±2.101 we reject the null hypothesis and conclude that variance of impact strength is different for the two suppliers

A set of two or more equations with the same variables is called a system of equations. When you set the
two expressions that are equal to the same variable equal to each other, like you did in the previous lesson,
you are using the Equal Values Method of solving a system of equations. Use the Equal Values Method to
solve the following problem.
It is time to cool off on a hot summer day! Team Sunshine is filling an inflatable kiddie pool from a garden
hose. The pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose.
Next door, Team Breeze's pool is already filled with 180 gallons of water. They are emptying the pool at 5
gallons per minute with buckets.
Write two equations to represent the situation. Use the equations to find how long it takes until both pools
have the same amount of water. Check your calculations.

Answers

Answer:

Both pools will have the same amount of water after 11 minutes and 32 seconds.

Step-by-step explanation:

Since Team Sunshine is filling an inflatable kiddie pool from a garden hose, and the pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose, while next door, Team Breeze's pool is already filled with 180 gallons of water, and they are emptying the pool at 5 gallons per minute with buckets, to determine how long it will take until both pools have the same amount of water, the following calculation must be performed:

Team Sunshine:

30 + (8X) = T

30 + 8x10 = 110

30 + 8x11 = 118

30 + 8x12 = 126

30 + 8x11.5 = 122

30 + 8x11.6 = 122.8

30 + 8x11.55 = 122.4

30 + 8x11.54 = 122.3

Team Breeze:

180 - (5X) = T

180 - 5x11 = 125

180 - 5x12 = 120

180 - 5x11.5 = 122.5

180 - 5x11.6 = 122

180 - 5x11.55 = 122.25

180 - 5x11.54 = 122.3

1 = 60

0.54 = X

0.54 x 60 = X

32.4

Thus, both pools will have the same amount of water after 11 minutes and 32 seconds.

Emily bought a pack of pencils. Before she sharpened them, she measured one pencil and it was 0.22 m long When she sharpened one, she shaved off 1.2 cm. How many centimeters is her sharpened pencil?​

Answers

Answer:

20.8cm

Step-by-step explanation:

1 meter is 100cm

.022m is 22cm

22cm-1.2cm=20.8cm

Add. Simplify the answer and write it as a mixed number.
1/4+4/5+9/10

Answers

Answer:

39/20 = 1.95

That's my simplified answer

39/20 = 1 19/20

Will this help?

Step-by-step explanation:

Answer:

[tex]1\frac{19}{20}[/tex]

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!! ILL GIVE YOU BRAINLEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

73 is the correct answer

Step-by-step explanation:

I would pick 3 and 6

or C and F

Brainliest for correct answer

Answers

I think the answer is the last option, 1/2

I hope this is correct and please give brainliest because I am saving for expert and I need 5 more brainliest to get it!

Answer:

1/2

Step-by-step explanation:

Scale factor = (new figure measurement)/(original figure measurement)

Find IP using pythagorus

IP²=(y[tex]_{I}[/tex]-y[tex]_{P}[/tex])²+(x[tex]_{I}[/tex]-x[tex]_{P}[/tex])²

IP²=(4-(-4))²+(4-2)²

IP²=8²+2²

IP²=68

IP=[tex]\sqrt{68}[/tex]

Find I'P' using pythagorus

I'P'²=(y[tex]_{I'}[/tex]-y[tex]_{P'}[/tex])²+(x[tex]_{I'}[/tex]-x[tex]_{P'}[/tex])²

I'P'²=(2-(-2))²+(2-1)²

I'P'²=4²+1²

I'P'²=17

I'P'=[tex]\sqrt{17}[/tex]

Scale factor = (new figure measurement)/(original figure measurement)

=[tex]\sqrt{17}[/tex]/[tex]\sqrt{68}[/tex]

=1/2

1/2 ÷ 3 = 4 2/3 ÷ x. Solve the proportion​

Answers

Answer:

x=28

Step-by-step explanation:

i hope my answer is correct. it's been a while since i've done this.

You want to buy a pet rabbit that costs ​$49. You already have ​$18 and you plan to save ​$9 per week. If w represents the number of weeks until you have enough money to buy the rabbit​, what equation could you use to find the value of​ w? Use pencil and paper. Explain how you could set up an equation to find the amount of money you should save each week if you want to buy the rabbit in six weeks.

Answers

Answer:

You would need $31 so W=4 and you would have $5 left

Step-by-step explanation:

i did 49 minus 18 which gave me 31 so 9c3 would be 27 so i did 9 times 4 would =36 and if you work for 6 weeks you would have 54 and add 18 to it and you would have $72

sorry if im wrong or late

ITS DUE TODAY PLS HELP

The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit.
The surface area of the ball is approximately
square inches
The volume of the ball is approximately
cubic Inches

Answers

Answer:

i. The surface area of the ball is approximately 28.0 square inches.

ii. The volume of the ball is approximately 14.0 cubic inches.

Step-by-step explanation:

The ball has the shape of a sphere, so that;

C = 2[tex]\pi[/tex]r

9.4 = 2 x [tex]\frac{22}{7}[/tex] x r

65.8 = 44r

r = [tex]\frac{65.8}{44}[/tex]

r = 1.50 inches

The radius of the ball is 1.50 inches.

i. Surface area of a sphere = 4[tex]\pi[/tex][tex]r^{2}[/tex]

So that,

surface area of the ball = 4 x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{2}[/tex]

                                             = 28.2857

The surface area of the ball is approximately 28.0 square inches.

ii. Volume of the ball = Volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

Volume of the ball =  [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.5)^{3}[/tex]

                               = 14.1429

The volume of the ball is approximately 14.0 cubic inches.

anyone know the answer

Answers

Answer:

I DONT KNOW SOORY

Step-by-step explanation:

jbjnmbgkuyhjn

if y + 3 = 14, what is the value of 3(y + 5)

Answers

Answer:

48

Step-by-step explanation:

y + 3 = 14

y = 11

3(y + 5) = 3(11 + 5) = 3(16) = 48

Answer: 48

For which color is the difference between the theorectical probability and experimental probability greatest? A. Brown; The experimental probability is 19.52%, and the theoretical probability is 25%. B. Orange; The experimental probability is 18.9%, and the theoretical probability is 15%. C. Yellow; The experimental probability is 16.96%, and the theoretical probability is 20%. D. Green; The experimental probability is 22.7%, and the theoretical probability is 15%.

Answers

Answer: green

Step-by-step explanation:

Please help me with the question

Answers

Answer:

area = 84 m²

Step-by-step explanation:

area = (1/2)(4)(3)(2) + (5)(6) + (6)(3) + (4)(6) = 84 m²

Compare and 1.6. Use <, >, or =.
A. 5/3 = 1.6
B. 5/3 < 1.6
c. 5/3 > 1.5

Answers

Step-by-step explanation:

[tex] \frac{5}{3} = 1 \frac{2}{3} = 1.67[/tex]

Since

[tex]1.67 > 1.6 \: and \: > 1.5[/tex]

C is the answer

Last year, Manual opened an investment account with $5400. At the end of the year, the amount in the account had increased by 28.5%. How much is this increase in dollars? How much money was in his account at the end of last year?​

Answers

See below hope it helps

Answer:

Increase in dollars = $1,539

Balance in the account at the end of the year = $6,939

Step by step explanation:

5400*.285=$1539

So increase in dollars is $1,539


That is the money growth. Now add to initial balance to find the account total after the end of the year

5400+1539=$6,939

Money in the account at the end of the year $6,939

Need help please and thank you

Answers

Answer:

B is your answer

Step-by-step explanation:

there is none but GOOD LUCK

someone please help me answer this!!!

Answers

Answer:

15 using the Pythagorean theorem.

hope it helps, plz mark me as brainliest.

Answer:

15 units is the answer.

Step-by-step explanation:

points are (-3,-4) and (6,8)

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(6-(-3))^2 + (8-(-4))^2}\\\\d=\sqrt{(9)^2+(12)^2} \\\\d=\sqrt{81+144} \\\\d=\sqrt{225} \\\\d=15[/tex]

∴ d = 15 units is the distance between the points.

What is the slope between (-4, 0) and (0, 2)?

Answers

Answer:0.5

Step-by-step explanation: y = 0.5x + 2

5g ∙ 7h in standard form

Answers

9514 1404 393

Answer:

  35gh

Step-by-step explanation:

The standard form has one coefficient, and generally has the variables in lexicographical order.

  35gh

WILL GIVE BRAINLIEST to whoever solves this entire problem (completes all the steps). I WILL REPORT if you just steal the points without giving an answer. I know this is really long but I really need help on this and am low on time. To whoever answers this, thank you so much, you are a life saver.

We created this inequality to represent how Amy can meet her revenue goals:

-100x2 + 15,750x + 212,500 ≥ 243,600

In this activity, you’ll solve this inequality to find the minimum ticket price Amy should charge to meet her minimum revenue goal.

Step 1: set the inequality greater than or equal to zero
Step 2: simplify the inequality by dividing by the GCP so the leading coefficient is positive
Step 3: factor the left side of the inequality by grouping
Step 4: solve the quadratic inequality. Remember to check any possible solutions for viability.
Step 5: what is the minimum number of $2 increases that Amy needs to apply to the ticket price to reach her desired revenue?
Step 6: What’s the minimum ticket price that Amy can charge and reach her goal? Recall that the ticket price is represented by 25 + 2x, where x represents the number of $2 increases.

Seriously thank you to anyone who does this. I am low on time and this helps a bunch.

Answers

Trust me these are the correct answers :)

Answer:

Part A: -100x2 + 15,750x − 31,100 ≥0

Part B: 2x2-315x+622 ≤0

Part C: (2x-311)(x-2) ≤0

Part D:2 ≤ x ≤ 155.5

Part E: We know x = number of $2 increases. So, from the compound inequality, 2 ≤ x ≤ 155.5, we can conclude that the minimum possible value of x is 2.

Part F: 29

Which NCAA college basketball conference has the higher probability of having a team play in a college basketball's national championship game? Over the last 20 years, the Atlantic Coast Conference (ACC) ranks first by having a team in the championship game 10 times. The Southeastern Conference (SEC) ranks second by having a team in the championship game 8 times. However, both conferences have had teams in the championship game only one time, when Arkansas (SEC) beat Duke (ACC) 76–70 in 1994 (NCAA website, April 2009). Use these data to estimate the following probabilities.

a. What is the probability the ACC will have a team in the championship game?
b. What is the probability the SEC will have team in the championship game?
c. What is the probability the ACC and SEC will both have teams in the championship game?
d. What is the probability at least one team from these two conferences will be in the championship game? That is, what is the probability a team from the ACC or SEC will play in the championship game?
e. What is the probability that the championship game will not a have team from one of these two conferences?

Answers

Answer:

A)P(ACC has a team in the championship game) = 0.5

B)P(SEC has a team in the championship game) = 0.4

C)P(both ACC & SEC having teams in the championship games) = 0.05

D)P(ACC or SEC) = 0.85

E)P(not ACC or SEC) = 0.15

Step-by-step explanation:

A) We are told that in the last 20 years, ACC has had a team in the championship game for 10 times.

Thus;

P(ACC has a team in the championship game) = 10/20 = 0.5

B) SEC has a team in the championship game 8 times in the last 20 years;

Thus;

P(SEC has a team in the championship game) = 8/20 = 0.4

C) since both ACC and SEC have had teams in the championship game for the past 20 years, then;

P(both ACC & SEC having teams in the championship games) = 1/20 = 0.05

D) Addition rule of probability is that;

P(A or B) = P(A) + P(B) - P(A & B)

Applying it to this question, we have;

P(ACC or SEC) = P(ACC) + P(SEC) - P(ACC & SEC)

Plugging in the relevant values, we have;

P(ACC or SEC) = 0.5 + 0.4 - 0.05

P(ACC or SEC) = 0.85

E) from complement rule, we can find the probability that the championship game will not a have team from one of these two conferences.

Thus;

P(ACC not SEC) = 1 - P(ACC or SEC)

P(ACC not SEC) = 1 - 0.85

P(ACC not SEC) = 0.15

Which sign makes this number sentence true?

|866| __ |-866|
A. >
B. <
C. =
D. +

Answers

Answer:

>

Step-by-step explanation:

Answer:

c for me

Step-by-step explanation:

hope that helps you

Each month, 8 magazines arrive at Sydney's home. Write an equation that would show the number of motnths (n) it took for Sydney to receive 56 magazines.
btw this is multiple choice so this is the choices
A. 56n=8
B.n+8=56
C.8n=56
D.56-n=8
help me asap​

Answers

C.
Since 8 magazines are areiving each month (n) and the total is 56, all you have to do is multiply 8 by n and you get 56, the actual answer would be 7 though.

Answer:

C.8n=56

Step-by-step explanation:

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