Bonus problem. Find the ratio a :b if it is given that 3a=8b​

Answers

Answer 1

Answer:

[tex]a:b = 8:3[/tex]

Step-by-step explanation:

To find the ration, we want to get in equation in the form [tex]\frac{a}{b} =\frac{x}{y}[/tex].

We can start by dividing by b on both sides:

3a = 8b

÷b     ÷b

[tex]\frac{3a}{b} = 8[/tex]

Now, we can divide by 3 on both sides to get:

[tex]\frac{a}{b} = \frac{8}{3}[/tex]

We can change the format into a ratio:

[tex]a:b = 8:3[/tex]


Related Questions

9:25 p.m. in 24 hour time is written a

Answers

Answer:

21:25

Step-by-step explanation:

9:25 p.m. would be written as 21:25 in 24 hour time, since you simply add 12 to the hours.

1) Berdine's Chicken Factory has several stores in the Hilton Head, South Carolina, area. When interviewing applicants for server positions, the owner would like to include information on the amount of tip a server can expect to earn per check (or bill). A study of 500 recent checks indicated the server earned the following amounts in tips per 8-hour shift. Amount of Tip ($) Number 0 up to 20 200 20 up to 50 100 50 up to 100 75 100 up to 200 75 200 or more 50 a) What is the probability of a tip of $200 or more? b) What is the probability of a tip of up to $50?

Answers

Answer:

a) 0.1 = 10% probability of a tip of $200 or more.

b) 0.4 = 40% probability of a tip of up to $50.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Distribution:

Total of 500 checks.

200 with tips in the interval of 0-20.

100 with tips in the interval of 20-50.

75 with tips in the interval of 50-100.

75 with tips in the interval of 100-200.

50 with tips of 200 or more.

a) What is the probability of a tip of $200 or more?

50 out of 500. So

[tex]p = \frac{50}{500} = 0.1[/tex]

0.1 = 10% probability of a tip of $200 or more.

b) What is the probability of a tip of up to $50?

200 out of 500. So

[tex]p = \frac{200}{500} = 0.4[/tex]

0.4 = 40% probability of a tip of up to $50.

i need help please and thank you

Answers

Answer:

82.5inches.

Step-by-step explanation:

A=1/2bh

=1/2×15×11

=82.5

Answer:

82.5 in.²

Step-by-step explanation:

[tex]A=\frac{1}{2} bh[/tex]

[tex]A=\frac{1}{2}(15)(11)[/tex]

[tex]A=\frac{1}{2}(165)[/tex]

[tex]A=82.5 in.^{2}[/tex]

I need the answer HELP HELP HELP HELP

Answers

Answer:

A; TDC Inc., has 40 salespeople

B; Exactly half of the salespeople took fewer than 6 flights last year

F; Exactly half of the salespeople took at least 7 flights last year

The living room in a new house has the dimensions shown. What is the volume of the room?

Answers

Answer:

v = 220 yd²

Step-by-step explanation:

Small portion

v = 5 * 4 * 3

v = 60 yd²

Large portion

v = 9 * 6 * 3

v = 162 yd²

Total

v = 60 + 162

v = 220 yd²

what’s the height of the second cylinder? (the larger one)
!!!PLEASE HELP QUICK

ILL GIVE BRAINLIEST!!!!

Answers

Given:

The radius of smaller cylinder is 2 m.

The radius of larger cylinder is 8 m.

The height of smaller cylinder is 14 m.

Both cylinders are similar.

To find:

The height of larger cylinder.

Solution:

It is given that the both cylinders are similar to each other.

We know that the corresponding sides of similar figure are proportional.

Let height of the larger cylinder is [tex]h_2[/tex].

[tex]\dfrac{r_1}{r_2}=\dfrac{h_1}{h_2}[/tex]

[tex]\dfrac{2}{8}=\dfrac{14}{h_2}[/tex]

[tex]\dfrac{1}{4}=\dfrac{14}{h_2}[/tex]

On cross multiplication, we get

[tex]1\times h_2=14\times 4[/tex]

[tex]h_2=56[/tex]

Therefore, the height of the larger cylinder is 56 m.

In ΔGHI, the measure of ∠I=90°, GI = 5, IH = 12, and HG = 13. What ratio represents the tangent of ∠G?

Answers

Answer:

80/39

Step-by-step explanation:

4 more than a number is 12

Answers

Answer:

555

Step-by-step explanation:

Answer:

4 + x = 12

x = 8

Step-by-step explanation:

4 more than a number is 12

I will represent the mystery number as "x"

4 + x = 12

x = 8

Mary is planning to survey a sample of women to find out how much money the average woman spent on lipstick last year. What sample size will she need, if she wants to be 95% confident that her sample mean is no more than $4 away from the population mean, and assuming a standard deviation of $20? A. 100

Answers

Answer: The required sample size = 97

Step-by-step explanation:

If prior population standard deviation is known, then the minimum sample size can be computed as:

[tex]n=(\frac{z^*\times\sigma}{E})^2[/tex]

,where z* = critical z-value

[tex]\sigma[/tex] = population standard deviation

E = Margin of error

As per given,

[tex]\sigma=20,\ E= 4[/tex]

Critical value for 95% confidence = 1.96

[tex]n=(\frac{1.96\times20}{4})^2\\= (1.96\times 5)^2\\= (9.8)^2\\=96.04\approx97[/tex]

Hence, the required sample size = 97

Si se tira un dado, ¿cuál es la probabilidad de que se obtenga un divisor de 6?

Answers

Answer:

si se tirs undado you need to

Helppp find the value of y lamooooo

Answers

Answer:

4x-13 = 2x+9 ( i think it was exterior angle property i dont remember but its true)

so, solving that eq,

4x-2x = 9+13 (grouping variables and constants)

2x=22

x=11

also, 2x+9 and 3y+2 are on a transversal, and are supplementary angles (add up to 180°)

so, solving for x in 2x+9,

2(11)+9 = 22+9 = 31°

now, 31 + 3y+2 =  180

3y = 180 - 33

y = 147/3 = 49

(hoping you understood the calculations :)

Parvati bought 8 gallons of paint tol a project. The KIMU UI panlil bie WuUym 13 pccu wym
Which person bought the same kind of paint as Parvati?
O A
Brandon bought 5 gallons of paint for $90.
B
Trevor bought 6 gallons of paint for $114.
с
Natasha bought 7 gallons of paint for $143.
D
Danaia bought 9 gallons of paint for $152.

Answers

Answer:

(a) Brandon bought 5 gallons of paint for $90.

Step-by-step explanation:

Given

Parvati:

[tex]8\ gallon \to \$144[/tex]

Required

Person with the same paint

First, calculate the unit cost of Parvati's paint

[tex]Unit = \frac{\$144}{8\ gallon}[/tex]

[tex]Unit = \$18/gallon[/tex]

To get the person with the same kind of paint, we simply calculate the unit price.

Whoever has the same unit price as [tex]Unit = \$18/gallon[/tex] have the same kind of paint

Brandon

[tex]Amount = \$90[/tex]

[tex]Size= 5\ gallons[/tex]

So:

[tex]Unit = \frac{Amount}{Size}[/tex]

[tex]Unit = \frac{\$90}{5\ gallons}[/tex]

[tex]Unit = \$18/gallons[/tex]

Brandon has the same paint as Parvati because the unit prices are the same.

HELP!!!


What is the Area!

Answers

Answer:

0.375

Step-by-step explanation:

1*3/4*1/2=0.375

I need to know the answer for this so please help

Answers

Answer:

(2,-1) _______________

Please help me. Max and bella are two thirsty dogs after playing fetch they drank water . Rebbi drank 1/3 of a gallon of water babe drank 2/3 of the same gallon of water. How much of the gallon did the dogs drink?

Answers

Answer:

the whole gallon

1/3 + 2/3 = 3/3

Hello can someone answer this question please

Answers

1/4 = 0.25 is the largest value..

It is right answer....

Sally has 2/3 pink marbles and 0.6 red marbles. Witch is greater. answer fast

Answers

Answer:

2/3

Step-by-step explanation: 2/3 is just 0.66666 repeating which is greater than 0.6

Answer:

2/3

Step-by-step explanation:

2/3 and 3/5

10/15 and 9/15

Hence, 2/3 is greater

Feel free to mark this as brainliest :D

What is greater 4.58 or 4.563

Answers

Answer:

4.58 is greater then 4.563

Answer:

4.58

Step-by-step explanation:

think of it like this: 58 hundredths is larger than 56 hundredths

What is the vertex of the given quadratic function?
g(x)=3(x – 4)² + 7

Answers

Answer:    (4, 7)

============================================================

Explanation:

Compare the given equation to the vertex form y = a(x-h)^2 + k

You'll see that a = 3, h = 4 and k = 7

The vertex is (h,k) = (4,7)

The value of 'a' determines if the parabola opens upward or downward. Since a > 0, it opens upward. This furthermore leads to the vertex being the lowest point on the parabola.

The value of 'a' also determines how vertically stretched or compressed the parabola is.

Answer:

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

Step-by-step explanation:

The given quadratic function is given in vertex  form, y = a·(x - h)² + k, as follows;

g(x) = (x + 4)² + 7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c

c = k + a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

A photograph measures 3 inches tall and 5 inches wide. Becky wants a larger print of the photograph that is 25 inches wide. How many inches tall should the larger print be if it is to be in proportion to the smaller photograph?​

Answers

Answer:

15 inches tall

Step-by-step explanation:

every 3 inches increased, the width increases by 5.

Find the area of the shaded region.

Answers

Answer:

60.5

Step-by-step explanation:

the answer would be =60.5

The area of the base of a portable speaker, shaped like a hexagonal prism, is 36 square inches. The height of the speaker is 8 inches. (The long side which it sits on in the image below is the height.) Find the volume of the speaker.​

Answers

Answer:

92 dB

Step-by-step explanation:

Fsf

Answer:

[tex]volume = base \: area \times height \\ = 36 \times 8 \\ = 288 \: cubic \: inches[/tex]

lots of points for a easy question the unit of measure of the____ of the conversion factor should be the unit of measure____ which you want to convert
A numerator from
b denominator from
c denominator to
d none of the above

Answers

Answer:

the unit of measure of the conversion factor should be the unit of measure__

A numerator from __ which you want to convert

Hi! Kan someone fill in the blanks with either addition, subtraction, multiplication, or division?
I had some trouble finding the answer :/

Answers

+ - x + that would be the full ons

how do u get the mean of something

Answers

Answer:

to find the mean you add up all the values to get the sum, count the number of values you have in your data set, then divide the sum by the count

Step-by-step explanation:

to find the mean first add all of the numbers on your data set and then divide by how many numbers total you have

ex: 5, 6, 13, 4= 28

28 divided by 4= 7

You start at (2, -1). You move down 3 units and left 3 units. Where do you end? graph

Answers

Answer:

Hi there, mizuki here to answer

The correct answer should be:(-1, -4)

I also put a image of the graph, anyways hope this helped(red dot is the final area, blue dot is the starting point[2,-1])

Step-by-step explanation:

1 - 4 is the answer

I need some help on this please Simplify 2c-5c+c

Answers

-2c
hope this helps

Write the log equation as an exponential equation. You do not need to solve for x.
log, (2) = 2x - 1

Answers

Answer:

2 = 10^(2x-1)

Step-by-step explanation:

Imma assume the "," is 10,

So basically, it's just 2 = 10^(2x-1) I think, sorry if I'm wrong tho

HELPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

2

35

6

Step-by-step explanation:

14/7=2

5*7=35

42/7=6

14/7=2
5*7=35
42/7=6
so you answers in order is 2,35,6

How many 3/4 cup servings are in 12 cups of cherries?

Answers

Answer:

Exactly 16

Step-by-step explanation:

3/4 is .75

12/.75 would be 16

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