b is directly proportional to a.
b is 10 when a is 8.
Work out b when a is 9.

Answers

Answer 1

Answer:

B=11

Step-by-step explanation:

b=10 a=8

b=? a=9

Either you can cross multiple 10x9=90/8 (11.25, round down to 11), or you can look that 9 is 8+1, so of we do the same process to b then we would find our awnser. 10+1=11.

Answer 2

When a is 9 then, the value of b will be;

⇒ b = 45/4

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

'b' is directly proportional to a.

And, b is 10 when a is 8.

Now,

Since, 'b' is directly proportional to a.

Hence, We get;

⇒ b = ka

Where, k is constant of proportionality.

Here, b is 10 when a is 8.

So, Put b = 10 and a = 8;

⇒ b = ak

⇒ 10 = k × 8

⇒ k = 10 / 8

⇒ k = 5/4

So, When a is 9 and k is 5/4, then;

⇒ b = ak

⇒ b = 9 × 5/4

⇒ b = 45/4

Thus, The value of b = 45/4

Learn more about the proportion visit:

https://brainly.com/question/870035

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Related Questions

which statement is true​

Answers

Answer:

c

Step-by-step explanation:

im a math genius

NEED HELP ASAP
A ticket broker is selling seats to a rock concert. If the broker's commission is a $5.00 base fee and $0.50 extra for every ticket (t), the total cost for the broker's services is calculated by the expression below.

$0.50t + $5.00

How much does the broker earn by selling 12 tickets?

$5.50
$10.50
$11.00
$15.50

Answers

Answer:

11.00

Step-by-step explanation:

"T" is the number of tickets sold so take 0.50*12 and you would get 6.00

then take 6+5=11, then 11 is the answer

Simplify the expression:
[tex]\left(\frac{1}{2}\right)^{2}\cdot\frac{9}{11}+\frac{2}{3}[/tex]

Plz give steps.

Answers

Answer:

[tex]\frac{115}{132}[/tex]

Step-by-step explanation:

[tex](\frac{1}{2} )^{2} * \frac{9}{11} + \frac{2}{3}[/tex]

= [tex]\frac{1}{4} * \frac{9}{11} + \frac{2}{3}[/tex]

= [tex]\frac{9}{44} + \frac{2}{3}[/tex]

= [tex]\frac{27 + 88}{3(44)}[/tex]

= [tex]\frac{115}{132}[/tex]

Question 7 of 12 Solve: 3x- 8 = 6(1 - 2x) + 16 O A. x = 2 O B. x = 5 O C. x= -2 O D. There are infinitely many solutions.

Answers

Answer:

A. x =2

Step-by-step explanation: Rearrange terms 3x - 8 = 6 ( 1 - 2x ) + 16 ---> 3x - 8 = 6 ( -2x + 1 ) +16

Distribute

Add the numbers

Add 8 to both sides of the equation

Simplify

Add 12x to both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify -------> x=2

Answer please I’m stew

Answers

Answer:

1st box=18 days

2nd box= 4 miles

Step-by-step explanation:

1st box is the number of dots

=18 days

2nd box is the dot that is on the max value

= 4 miles

First box : 19
Second box: 4

The number of days on this chart are represented by the number of dots.

Each dot represents one day and the miles Zac ran. The highest number on the chart with a dot is 4.

Please let me know if you have any questions.

need help thanks! :D

Answers

Answer:

2nd

Step-by-step explanation:

The rule for rotating 270 degrees
(x,y)-> (y,-x)
(4,-5)->(-5,-4)

how to use pythagoreom therom

Answers

a squared + b squared = c squared

Answer:

a² + b²= c²

Step-by-step explanation:

In these pictures you will see how to do pythagoreom therom in different situations.

a hot air balloon travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour

Answers

Answer:

4 miles

Step-by-step explanation:

Answer:

4.5 miles

Step-by-step explanation:

18 miles 3 hours = 6 miles/hour

6 x (3/4) = 4.5 miles

PLEASE HELP 2 QUESTIONS! - YOU WILL GET 20 POINTS - MULTIPLE CHOICE - YOU WILL GET BRAINLIST - MATH

Answers

Answer:

choice 1) corresponding angles

choice 1) vertical angles

Step-by-step explanation:

Answer:

On the first one, angles 1 and 5 are corresponding angles and on the second one, angles 2 and 3 are vertical angles.

Step-by-step explanation:

brainliest

find: P (large or blue)

Answers

Answer:

Blue: DDD

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

;)

please help me, I’ve been on this for 30 mins + I’m an idiot

Answers

I think it's 3/7?

hope this helps

It must be 5/7 because there’s 5 reds and 7blues if I’m getting this right

If there are 60 seconds in an minute, 60 minutes in an hour, 24 hours in a day, and 7 days in a week, how many seconds are in a week? Hint: Use a calculator to solve this problem.James and Kelly have $10 to spend at a grocery store. If they get 3 avocados which cost $1 each, 4 tomatoes which cost a total of $2 for all 4, and two loaves of bread which cost $2 each, how much change will James and Kelly receive after their purchase?

Answers

Answer:

Part a) 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day, and 7 days in a week, how many seconds are in a week

60x60=3600 x 24= 86400 x 7= 604800

So 604,800 seconds in a week

Part b) James and Kelly have $10 to spend at a grocery store. If they get 3 avocados which cost $1 each, 4 tomatoes which cost a total of $2 for all 4, and two loaves of bread which cost $2 each, how much change will James and Kelly receive after their purchase?

So 3 x 1= $3

+ $2

2 x 2= $4

3+2+4= $9

10-9= $1

So they'll get back $1

The perimeter of the triangle is 29 cm.
a. Write an equation and solve for x.
b. Use the value of x to find the lengths of the sides of the triangle.
c. What kind of triangle is this: scalene, isosceles, or equilateral? Explain how you know using the calculated side lengths, not the picture
2x+2
3x - 1
x + 4

Answers

Answer:

Step-by-step explanation:

Equation

2x + 2 + 3x - 1 + x +4 = 29             Collect like terms on the left

6x + 5 = 29                                     Subtract 5 from both sides

6x = 29 - 5

6x = 24                                            Divide by 6

x = 24/6

x = 4

Length of the Sides.

2x + 2 = 2*4+2 = 10

3x - 1 = 3*4 - 1 = 12 - 1 = 11

x + 4 = 4 + 4 = 8

Type of Triangle

Scalene.

The first term of a geometric sequence is 4, and the common ratio is 5. What is the 5th term of the sequence?

a.2,500


b.12,500


c.1,024


d.500

Answers

Answer:

A) 2,500

Step-by-step explanation:

Soo.....

A1 = 4

A2 = 4*5 = 20

A3 = 20*5 = 100

A4 = 100*5 = 500

A5 = 500*5 = 2,500

Refer to the diagram below. What is the scale factor used to create the new shape.

Answers

Answer:

The correct answer is A: 4/5

Step-by-step explanation:

We would divide 24/30 and get 4/5

During the 2 9-weeks reporting, a student's grade increased from 80 to 96. By what percentage did the grade increase?
32%
20%
16%
12%

Answers

The students Grade increased by 20% because 10% of 80 is 8 and is you take 20% it’s double of 10% so it’s going to be a 16 point increase

What is the factored form of the polynomial 3x-3y

Answers

Answer:

Step-by-step explanation:

3x - 3y = 3(x-y)

Henry received 7/8 of the vote in the election for captain of the baseball team. What percent of the vote did he receive?

Answers

Answer:87.5%

Step-by-step explanation:

Given

Henry received [tex]\frac{7}{8}[/tex] of the votes in the election

i.e. 7 parts of votes are in favor of Henry out of 8

In terms of percentage, it is  given by

[tex]\Rightarrow \dfrac{7}{8}\times 100=87.5\%[/tex]

The graph of an equation is shown below:
Based on the graph, which of the following represents a solution to the equation?

Answers

Answer:

(-2, -3)

Step-by-step explanation:

solutions are all the points where the line intersects

What it the length of the leg

Answers

6 feet is the length of the leg.

please help, this is very urgent!!! no links please, and also if ur answer is correct I'll give brainliest!!!! ​

Answers

Answer:

I) 616

II) 4.53

Step-by-step explanation:

For the first one, just plug in 7 as R.

A = 4 x (22/7) x 7^2

A = 12.57142857 x 49

A = 616

For the second, one, put 452 4/7 as A.

452 4/7 also is 258.285

258.285 = 4 x (22/7) x r^2

258.285 = 12.57142857 x r^2

Divide both sides by 12.57142857

20.55372408 = r^2

Square root 20.55372408 for R.

4.533621519 = R

OR

4.53 = R

Luis has some nickels, dimes, and quarters. The value of all of the coins, in cents, is represented with the expression shown.
5(2 + 2) + 10x + 25 (3x + 1)
Which part of the expression represents the number of quarters that Luis has?
A. x+2
B. 10x
C. 3x+1
D. 25(3x+1)





B.
10.
C
3.2 +1
D.
25 (3x + 1)

Answers

Answer:

The part of the expression that represents the number of quarters is;

D. 25·(3·x + 1)

Step-by-step explanation:

From the question, we have;

The values of the coins Luis has = Nickels, Dimes and quarters

The expression that represents the value of all the coins in cents is given as follows;

5(x + 2) + 10·1 + 25·(3·x + 1)

The value of a nickel = 5 cents

The value of a dime = 10 cents

The value of a quarter = 25 cents

Therefore, the part of the expression representing the number of quarters Luis has, has 25 as a factor

Therefore, the part of the expression that represents the number of quarters = 25·(3·x + 1).

2x[tex]2x^{2}-3x-5[/tex]

Answers

Answer:

2x²-3x-5

=2x²-3x-5

=2x²-5x+2x-5

=2x(x-5)+2(x-5)

=(x-5)(2x+2)

Answer:

(x + 1)(2x - 5)

Step-by-step explanation:

Assuming you require the expression factorised.

2x² - 3x - 5

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 5 = - 10 and sum = - 3

The factors are + 2 and - 5

Use these factors to split the x- term

2x² + 2x - 5x - 5 ( factor the first/second and third/fourth terms )

= 2x(x + 1) - 5(x + 1) ← factor out (x + 1) from each term

= (x + 1)(2x - 5) ← in factored form

Simplify fully 8x/12x2y​

Answers

Answer:

2/3xy.

Step-by-step explanation:

8x/12x^2y

The 8 and 12 simplify to 2/3 and x and x^2 simplify to 1/x so we have:

= 2/3xy.

Write LCM of 35 and 144 (If you are not able to send a picture, then you can write step wise, please do not write a direct answer.)​

Answers

Answer:

5040

Step-by-step explanation:

multiply 35 by 144 which will give you your answer (lcm)

Solve for x. Round to the nearest tenth.

Answers

10.5 is correct
good luckkkk

Answer:

x=10.4

Step-by-step explanation:

tan(60°)=18/x

tan(60°)x=18

x=18/tan(60°)

x=10.4

PLEASE HELP!

A camper is flying a kite at the end of a string 250 feet long. If they look up to
the kite at an angle of 43 degrees, what is the approximate height of the kite? (Round
your answer to the nearest foot.).

Answers

hypotenuse is 250 feet.

base angle is 43 degrees.

trignometery here I come!

Since we must find the height, aka adjacent side of right triangle, and we have the given hypotenuse

We shall use the sine!

sinθ is sin43

sin43 = A/H = x/250

multiply both sides by 250

250 (sin43) = x

DEGREE MODE on graphing calculator! [because the θ is in degrees mode]

x ≈ 171

Answer: x ≈ 171 feet

I will mark you brainlist!

A. 24.12
B. 50.24
C. 58.14
D. 96.02

Answers

B is the answer to your question

PORS and XYZ are straight lines.
PS is parallel to XZ.

Prove that the angle sum of any triangle is 180°

Answers

I have no idea

Step-by-step explanationI have no idea

Here is a graph of the relationship between the height and volume of some cylinders that all have the same radius, R. An equation that represents this relationship is V =Rºh (use 3.14.as an approximation for 7). What is the radius of these cylinders?​

Answers

Answer:

Radius is 1 unit

Step-by-step explanation:

The relationship is:

V = πr²h

We have points on the graph:

(9, 28.26) and (18, 56.52)

Use one of the points, substitute into equation and solve for r:

28.26 = 3.14*9*r²r² = 28.26/28.26r² = 1r = 1
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