the value of a varies directly at the square of the value of b, and b=3 when a=10. find the value of a when b=9

Answer:

5.66

Step-by-step explanation:

→ State Pythagoras' theorem

a² + b² = c²

→ Substitute in the values

4² + 4² = c²

→ Simplify

32 = c²

→ Square root both sides

√32 = c

Answer:

Step-by-step explanation:

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

c= √32

c= 5.66

If one person received 25 messages. Then the number of messages received by each friend will be 26.

The division of something into distinct portions, or the sharing of something among other persons, locations, or things, is referred to as division.

A group of 9 friends received a combined total of 233 text messages in two hours. One person received 25 messages.

Then the number of the remaining messages will be

→ 233 - 25

→ 208

Then the number of the text messages that each of the other 8 friends receives is the same number of the messages. Then we have

Let each friend has an equal number of the messages be x. Then

[tex]\rm x = \dfrac{208}{8}\\\\x = 26[/tex]

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Answer:

Domain: -4 < x < 2

Range: -3 < y < 3

Answer:

Step-by-step explanation:

2 2/9? maybe because 1/8 is 6 times bigger than 1/2, so if you add 6 to 2 2/3 it would be 2 2/9?

You would need 1/4 white paint to mix with 2 2/3 quarts of blue paint to make the same shade of paint.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

The amounts of each type of paint as fractions of the total amount of paint: 1/2 quart of blue paint is 1/(1+1/2) = 2/4 = 1/2 of the total amount of paint, and 1/8 quart of white paint is 1/(1+1/2+1/8) = 1/8 of the total amount of paint.

So the ratio of blue paint to white paint in the original mixture is 1/2 to 1/8, or 4 to 1. To make the same shade of paint with 2 2/3 quarts of blue paint, we need to use the same ratio of blue paint to white paint.

So we need 1/4 as much white paint as blue paint, which is (1/4) × 2 2/3 quarts = 2/3 quart of white paint.

The error in the original solution was not correctly finding the ratio of blue paint to white paint in the original mixture, which is necessary to determine the correct amount of white paint to mix with a different amount of blue paint to create the same shade.

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Answer:

D)

Step-by-step explanation:

This is a subjective function and range and co-domain are equal.

Range = {3 , 5 , 7}

Answer: Store B

Step-by-step explanation:

So for Store A 5 bowls are $15

1 bowl = 15/5

          = 3

Same applies for all

Store b = $2

Store c = $3

Thus Store B is cheaper

Answer:

Step-by-step explanation:

Comment

The formula for density is D = m/V

Therefore the units of density is

Density = grams/cm^3

Answer:

153 1/4 feet

Step-by-step explanation:

Remaining

Answer: give the proper question

Step-by-step explanation: for solutions

Answer:

triangle: 28cm² | parallelogram: 88cm² | composite: 116cm²

Step-by-step explanation:

Find area of triangle (1/2)(base)(height)

(1/2)(8)(7)

(4)(7)

28cm²

Find area of parallelogram (base)(height)

(8)(11)

88cm²

Add them together to get the composite area

28 + 88 = 116cm²

The cost to buy 10 notebooks and 16 desktop computers is $5550

Cost of notebook computers = $275

Cost of desktop computers = $175 each

The cost to buy 10 notebooks and 16 desktop computers will be:

= 275(10) + 175(16)

= 2750 + 2800

= $5550

The cost to buy n notebooks and d desktop computers will be:

= 275(n) + 175(d)

= 275n + 175d

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Answer:x < 3/14

Step-by-step explanation:

-14x > -3

x < 3/14

Answer: x<3/14

Step-by-step explanation:

Answer:

The parents of the seventh grade students

Answer:

65 degrees

Step-by-step explanation:

The degrees always has to add up to 180 degrees, so if you add 90 degrees and 25 degrees, you get 115 degrees. So since it has to be 180 degrees, you add 65 to 115, and you get 180 degrees.

Answer: 65 degrees . HOPE IT HELPS .

Answer:

Step-by-step explanation:

this is correct trust me im learning this and passing the concept h(x)=2+3

and f(x)=3x-2

Here is a tip use desmos it is a graphing calculater and will tell you the answer

so

number = a e^(kt)

2272 = 1800 e^(5k)

1.26222... = e^5k

ln 1.26222... = 5k

k = .04657.. <----- your hourly growth parameter

the instantaneous rate of growth is appr 4.657% per hour.

Answer:

300g

Explanation:

heat added=specific heat * m * change in temp

705= .235* x*(35-25)

solve for x, thus the answer being 300g

Answer:

68

Step-by-step explanation:

if tickets cost $12 for adults and there are 3 adult tickets being bought the total cost for adult tickets will be $36

Now for the kids, the tickets cost $4 and there are 8 kids, so the total cost for the kids tickets is $32

so the total price for 3 adult tickets and 8 kids tickets is $68

------

sorry if I didn't answer right I cant tell if the last part is a typo or a question

Answer:

see below

Step-by-step explanation:

ok so there are 8 children and $4 so 4x8=32 and 3 adults for $12 so 3x12=36

36 + 32

3+3=6

6+2=8

36+32= 68

Using it's concept, it is found that the mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.

In this problem, the mean is given by:

M = (65 + 58 + 64 + 61 + 67)/5 = 63.

Hence the mean absolute deviation is given by:

MAD = (|65-63| + |58-63| + |64-63| + |61-63| + |67-63|)/5 = 14/5 = 2.8.

The mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.

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To change words into equations, we can recognize keywords that translate into operations and/or numbers:

Let the two numbers be a and b.

We're given:

First, isolate a in the first equation and substitute it in the second equation to solve for b:

[tex]\dfrac{a}{b}=3\\\\a=3b[/tex]

[tex]a+b=8\\3b+b=8\\4b=8\\b=2[/tex]

Therefore, one of the numbers is 2. Substitute this into one of our equations to solve for a:

[tex]a+b=8\\a+2=8\\a=6[/tex]

Therefore, the other number is 6.

The two numbers are 2 and 6.

Answer:

smallest whole number is 0 so product of 0 is 0

smallest natural number is 1 so product of 1 is 1

Answer:

see explanation

Step-by-step explanation:

the translation < 3, 2 >

means add 3 to the original x- coordinate and add 2 to the original y- coordinate, then

A (3, 0 ) → A' (3 + 3, 0 + 2 ) → A' (6, 2 )

B (4, - 2 ) → B' (4 + 3, - 2 + 2 ) → B' (7, 0 )

C (1, - 3 ) → C' (1 + 3, - 3 + 2 ) → C' (4, - 1 )

Using it's equation, it is found that the percent decrease in the annual mean thickness of the ice cover was of 33.69%.

It is given by the decrease divided by the initial amount and multiplied by 100%.

In this problem:

Hence the percent decrease is given by:

P = (1.25/3.71) x 100% = 33.69%.

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Answer:

SA = 76 cm²

Step-by-step explanation:

Surface Area (SA) of a cuboid: 2(lw) + 2(wh) + 2(hl)

SA = 2(lw) + 2(wh) + 2(hl)

Substitute the values above and multiply:

SA = 2(lw) + 2(wh) + 2(hl)

SA = 2(4)(2) + 2(2)(5) + 2(5)(4)

SA = 2(8) + 2(10) + 2(20)

SA = 16 + 20 + 40

SA = 76 cm²

Final answer: 76 cm²

Hope this helps!

The line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times,  26 repeated 1 time, and 27 3/4 repeated 1 time so on.

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

Draw dots on each of the data element in the data set:

25 repeated 1 time

25 1/2 repeated 2 times

26 repeated 1 time

27 3/4 repeated 1 time

28 1/2 repeated two times

And so on.

Thus, the line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times,  26 repeated 1 time, and 27 3/4 repeated 1 time so on.

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Answer: 20 lawns can mowed in 7hrs

Step-by-step explanation:

Rate of the lawns to mow is [tex]\frac{5}{7}[/tex]lawns per hour.

" Rate is defined as the ratio of the comparison of two different quantity with different unit."

According to the question,

Given,

Number of hours to mow 5 lawns = 7hours

Rate of the lawns mowed = [tex]\frac{5}{7}[/tex] lawns per hour

Hence, rate of the lawns to mow is [tex]\frac{5}{7}[/tex]lawns per hour.

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Answer: 17a

Step-by-step explanation: additon

Answer: B

All of the other options do not apply,