If a ∝ b and a = 18 when b = 3, then find a when b = 5.

Answers

Answer 1

Answer:

18 infinite 3

Step-by-step explanation:

a=18

b=3

Answer 2

The value of a is 30 when b = 5.

What is Direct Variation ?

Direct Variation is when a variable varies directly with another variable.

It is given that

a ∝ b

a= kb

where k is the proportionality constant

a = 18 when b = 3

18 = k * 3

k = 6

Therefore from the equation , value of a can be obtained

for b = 5

a = 6 * 5

a = 30

Therefore the value of a is 30 when b = 5.

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Related Questions

A bag contains colored tiles.

Answers

Answer:

0.5

Step-by-step explanation:

total tiles = 12

green tiles = 6

so : 6/12 = 0.5

A dripping tap wastes 11,250 ml of water in 9 hours. If it drips equal quantity in each hour ,how much water will be wasted in an hour? Express your answer in L.

Answers

Answer: In 1 hour , it will waste = 1.25ml

Step-by-step explanation:

Volume of water  wasted by the tap in 9 Hours = 11,250 ml

Since  it drips in equal quantity,

In 1 hr , it will drip=  1 x 11,250 / 9 = 1,250 ml

But  1000 ml = 1 Liter

1250 ml = 1250ml x 1Liter / 1000ml= 1.25L

There is a line whose y-intercept is 7 and whose slope is 3. What is the equation in slope intercept form?

Answers

Answer:

y = 3x + 7

Step-by-step explanation:

Slope intercept form: y = mx + b

Find the volume of each prism. Show your work for full credit!

Answers

Answer:

1080

Step-by-step explanation:

1/2*base area*h

cuál es el Angulo de 68 grados y como se llama

Answers

Answer:

se llama agudo el ángulo de 80 grados

I need help with this, 70 points, whoever helps I’ll give Brainly

Answers

Answer:

Step-by-step explanation:

5 2/3 divided by 4 in fraction

Answers

exact form: 17/12
mixed number form:1 5/12

When [tex]5\frac{2}{3}[/tex]  is divided by 4 then the result will be [tex]\frac{17}{12}[/tex] in fraction form.

We have to divide the mixed fraction [tex]5\frac{2}{3}[/tex]  by 4.

Let us convert the mixed fraction to improper fraction.

[tex]5\frac{2}{3}[/tex] = [tex]\frac{17}{3}[/tex]

Now divide the fraction [tex]\frac{17}{3}[/tex] by a whole number 4.

[tex]\frac{\frac{17}{3}}{4}[/tex]

When a fraction is divided by a whole number then the fractions denominator is multiplied with the whole number.

[tex]\frac{17}{3 \times 4}[/tex]

Simplifying further:

[tex]\frac{17}{12}[/tex]

Hence, when [tex]5\frac{2}{3}[/tex]  is divided by 4 then the result will be [tex]\frac{17}{12}[/tex].

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What is the domain of the relation?
ty
4
2
-4<=x<=4
-4 -4<=X<=6
4
-4 3 of 11

Answers

Answer:

-4 ≤ x ≤ 6

Step-by-step explanation:

When we talk of the domain, we are referring to the possible x-values

from the diagram, we can see that we have the x-values at -4 and 6

The dotted line means that -4 and 6 are in the domain

Thus, the two points represent the end and starting point of the domain

Writing this in interval notation, we have the representation as;

-4 ≤ x ≤ 6

Fees for Overdue Books Fees for Overdue Books Fees for Overdue Books Late Fee ($) Days Overdue Days Overdue Days Overdue Think about the slope and y-intercept for each graph, and what they represent in the applied situations. What are the similarities of these situations? What are the differences of these situations? What causes those differences Write about how you would create linear equations using the graphs above. Also, explain what these graphs represent?​

Answers

Answer:im lonely

Step-by-step explanation:

Which of these expressions is equal to 3−8i?

Answers

Answer:

the second option

Step-by-step explanation:

(5 + i) - (2 + 9i) = 3 — 8i

You use the punch recipe to create a larger batch that uses 10 liters of ginger ale. How many cans of pineapple juice should you use?
Punch Recipe
2 liters of ginger ale
2 cans of lemonade concentrate
I can of pineapple juice
I quart of sherbet
O1
05
O 20
O 10

Answers

5 cans of pineapple

The DeJeu family plan to drive to Marietta, GA to Newark, NJ. The distance is about 880 miles and the majority of their trip will be on a highway, where they will travel at an average speed of 65 miles per hour. They are leaving at 7:30 am, and they plan to stop 3 times for 10 minutes each and once for 1 hour. What is the approximate travel time?

Answers

Answer:

[tex]10:02:24\ \text{pm}[/tex]

Step-by-step explanation:

d = Distance to travel = 880 miles

s = Average speed of the car = 65 mph

Time taken to cover the distance is

[tex]t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{880}{65}\\\Rightarrow t=\dfrac{176}{13}\ \text{h}=13.54\ \text{hours}[/tex]

Time the car stopped

[tex]3\times 10+60=90\ \text{minutes}=1.5\ \text{hours}[/tex]

Total time of the journey

[tex]13.54+1.5=15.04\ \text{hours}[/tex]

Converting [tex]0.04\ \text{hours}[/tex] to minutes

[tex]0.04\times 60=2.4[/tex]

So, the total time taken for the journey is [tex]15\ \text{hours and }2\ \text{minutes and }24\text{seconds}[/tex]

Time when they reach their destination

[tex]7:30+15:2.4\approx 10:02:24\ \text{pm}[/tex]

answer this please and asadp

Answers

ur mom

                                                                                                                                                       

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

A. x/3 + 10

C. (3015/x) - 186

Step-by-step explanation:

a. 15/3+10

5+10

15

b. 15,521/15

1034.73 repeated

(3015/x)-186

3015/15-186

201-186

15

2x^2/5-25

what is 2 increased by 5 times a number

Answers

Answer

what is 2 increased by 5 times a number = 10

Step-by-step explanation:

Answer:

The number:

1: 7

2: 12

3: 17

4: 22

5: 27

6: 32

7: 37

8: 42

9: 47

10: 52

The increase for each number will be 5.

Step-by-step explanation:

Topic 10 online test copy 1

Answers

I dont get what you just said
Sorry man there’s not a question for me to help u with

PLZZ HELP

When dividing fractions, the ________ term becomes the reciprocal.

Neither
Second
Both
First

Answers

When dividing fractions the second term becomes the reciprocal

What’s less -99 or 1/100

Answers

Answer:

-99

Step-by-step explanation:

1/100 is positive, and -99 is negative, so 1/100 is greater

Mrs. Kim bought
4
4 boxes of stickers at the store to share with her students. Each box contained
64
64 stickers.

Answers

Answer:

She has 256 stickers.

Step-by-step explanation:

4 times 64 equals 256

solve this equation for x. 4x-5=2x+3

Answers

Answer:

x = 4

Step-by-step explanation:

4x-5 = 2x+3

subtract 2 x from each side and add 5 to each side

2x = 8

x = 4

4x-5=2x+3
(combine like terms)
2x-5=3
( when it crosses over the equal sign it becomes negative)
2x=7
x=3.5

Solve the inequality.Graph the solution on the number line. ( I need help graphing the answer because I already have the answer which is x > 5 or equal to 5)

Answers

Answer:

Place a filled in dot at -3 with a ray heading to the right

Step-by-step explanation:

A box contains 6 red pencils and 8 blue-pencils. A pencil is chosen at random and not
replaced. A second pencil is then chosen at random. Calculate the probability that at least one
of the pencils is red

Answers

Answer:

There are 14 pencils and 8 are blue

The probability of picking blue in the first pick = 8/14 =4/7.

The probability of picking blue in the second pick = 7/13 (as no replacement was there).

There are 14pencils and 6 are red.

The probability of picking red in the first pick = 6/14 =3/7

The probability of picking red in the second pick = 5/13. (as no replacement was there).

i need help pleaseeee

Answers

Answer:

I did this question just the other day. The answer you are looking for is B or the second one.

Step-by-step explanation:

A boy does 20J of work in 4s. Find his Power.​

Answers

Power = work divided by time. So, to get the answer you’re looking for, you have to do 20J divided by 4 seconds, which will get you 5 horsepower.

Answer:

5 watts

Step-by-step explanation:

power (measured in watts) is joules per second, or J/s

J = 20

s = 4

J/s = 5

What is the measure of the missing angle

Answers

119 I believe since a straight angle sums up to 180

The measure of the missing angle is 119 degrees.

Explanation:

This is because this angle is a supplementary angle, which means that two angles put together equal 180 degrees. Since we already know the measure of one angle (61 degrees), we can subtract it from 180 degrees. We could figure this out by doing 180-61, which would get us the measure of the missing angle, 119 degrees.

Can I please get some help with this problem?

Answers

Answer:

a = 55

Step-by-step explanation:

By exterior angle theorem:

a+10 + 44 = 2a

a= 55

Here's the proof:

Consider the same figure shown

say a+10 = x and 44 = y

Thus the remainng angle is 180 - x-y

and the exterior angle is 180- ( 180 - x- y) = x+y

Thus proved

Jackie has $32 in her purse. She earned $80 from babysitting this week.
What percentage of the money she earned from babysitting is in her
purse?

Answers

Answer:

40%

Step-by-step explanation:

assuming all the money in the purse is from babysitting then (32/80)*100= 40%.

in other words, 32 is 40% of 80

Answer:

89.6

Step-by-step explanation:

(Easy) For the following quadratic function, find the axis of symmetry, the vertex and the y-intercept. y = x^2 + 12x + 32

Answers

Answer:

see explanation

Step-by-step explanation:

Given a quadratic in standard form , y = ax² + bx + c ( a ≠ 0 ), then

The x- coordinate of the vertex, which is also the equation of the axis of symmetry is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² + 12x + 32 ← is in standard form

with a = 1, b = 12 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{12}{2}[/tex] = - 6

Substitute x = - 6 into y for corresponding y- coordinate

y = (- 6)² + 12(- 6) + 32 = 36 - 72 + 32 = - 4

Thus

equation of axis of symmetry is x = - 6

vertex = (- 6, - 4 )

To find the y- intercept , let x = 0

y = 0² + 12(0) + 32 = 32 ← y- intercept

The axis of symmetry is x = -6, vertex is (-6,-4) and y-intercept is 32.

Quadratic function:

Important information:

The given quadratic function is [tex]y=x^2+12x+32[/tex].

Substitute [tex]x=0[/tex] to find the y-intercept.

[tex]y=(0)^2+12(0)+32[/tex]

[tex]y=32[/tex]

The vertex form of a quadratic function is:

[tex]y=a(x-h)^2+k[/tex]         ...(i)

Where a is constant, (h,k) is vertex and x=h is the axis of symmetry.

Adding and subtracting the square of half of coefficient of x, the given quadratic function can be written as:

[tex]y=x^2+12x+32+6^2-6^2[/tex]

[tex]y=(x^2+12x+6^2)+32-36[/tex]

[tex]y=(x+6)^2-4[/tex]          ...(ii)

On comparing (i) and (ii), we get

[tex]a=1,h=-6,k=-4[/tex]

Therefore, the axis of symmetry is x = -6, vertex is (-6,-4) and y-intercept is 32.

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Solve the equation 7[X-4] - 2[X-3(5+X)] = 2/3[X-6]​

Answers

Answer:

Hello! :) have a good day!

Exact Form:

x = −18/31

Decimal Form:

x = −0.58064516

Answer:

18/5

Step-by-step explanation:

above attached the process

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find the distance between two points ( -1,1) and (2,-4)

Answers

Answer:

The distance between two points ( -1,1) and (2,-4) is:

[tex]d=\sqrt{34}[/tex]  or d = 5.8 units.

Step-by-step explanation:

Given the points

(-1, 1)(2, -4)

Finding the distance between (-1, 1) and (2, -4) using the formula

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

substitute (x₁, y₁) =  (-1, 1)   and  (x₂, y₂) = (2, -4)

   [tex]=\sqrt{\left(2-\left(-1\right)\right)^2+\left(-4-1\right)^2}[/tex]

   [tex]=\sqrt{\left(2+1\right)^2+\left(-4-1\right)^2}[/tex]

   [tex]=\sqrt{3^2+5^2}[/tex]

   [tex]=\sqrt{9+25}[/tex]

   [tex]=\sqrt{34}[/tex]  units

or

[tex]d = 5.8[/tex] units

Therefore, the distance between two points ( -1,1) and (2,-4) is:

[tex]d=\sqrt{34}[/tex]  or d = 5.8 units.

Can someone help me what is the slope pls help?

Answers

Answer:

-5/3

Step-by-step explanation: rise over run it goes down -5 and goes across 3

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