Each side of a square is increased 5 inches. When this happens, the area is multiplied by 9. How many inches in the side of the original square?

Answer:

m = 3.333333333

Step-by-step explanation:

Answer:

12m-16

Step-by-step explanation:

First do what's in the parenthesis.

Then combine like terms

6m-2(-3m+8)

6m+6m-16

12m-16

3x - y = 5 Equation l

x - y = 1 Equation ll

By elimination

-Multiply equation l by -1

-3x + y = -5

x - y = 1

-2x = -4

Solve for x

x = -4/-2

x = 2

-Find y

2 - y = 1

-y = 1 - 2

-y = -1

y = -1/-1

y = 1

Solurtion: x = 2, y = 1

Answer:

A. 2.50

Step-by-step explanation:

25 ÷ 2 = 12.5

15 - 12.5 = 2.50

Answer:

D?

Step-by-step explanation:

I'm not completely sure, but there are 2 different 180 degree lines that y falls on. On one line (y+70=180) it is for sure 110 degrees

When measured on the other line it is (y+70+x=180) I'm not too familiar with this??

An equation of a line in slope-intercept form is

in which m is the slope of the line and b is the y-intercept.

According to the information given in the question

m=2/3

b=-8

replace this data in the equation

According to the given data the equation of the new function is (D) f(x) = 2x - 4.

An equation is a mathematical statement that indicates that two expressions are equal. It contains an equals sign "=" and may involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, etc.

If we translate the function h(x) = 2x - 9 up by 5 units, the new function f(x) will have the form:

f(x) = h(x) + 5

Substituting the definition of h(x) into this equation, we get:

f(x) = 2x - 9 + 5

Simplifying, we have:

f(x) = 2x - 4

Therefore, the equation of the new function is (D) f(x) = 2x - 4.

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Answer:

\(\frac{X}{UB} = H\) is the answer.

Step-by-step explanation:

Since we are solving for H, we need to get rid of everything that isn't H.

X = UHB can also be shown as X = UBH

Divide by UB on both sides to equal to H.

\(\frac{X}{UB} = H\)

This is your answer.

#teamtrees #WAP (Water And Plant)

Answer: 15 / 24

Step-by-step explanation:

hello!! the answer is 15/24 because if you multiply 5 by 3 you get 15, wnd if you also multiply 8 by 3 you get 24!! an equal ratio will always have the numerator and denominator multiplied by the same number :) I hope this can help!

feel free to comment if you need more help :) love the raiden shogun pfp too!

Answer:

The answer would be A: 15/24

Step-by-step explanation:

When finding an equivalent ratio you find common factors for example whatever you do/ has been done to the first part of the ratio must be done the the second part of it. In this case you can tell 5 and 8 have been multiplied by 3.

Hope this helps!

Make sure to take notes , study and practice so you can learn!

XOXO

You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.

To calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.

Given:

Cost per KWH: $0.75

Average monthly usage: 120 KWHs

To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:

Monthly Cost = Cost per KWH * Average monthly usage

Plugging in the values, we have:

Monthly Cost = $0.75/KWH * 120 KWHs

Calculating the result:

Monthly Cost = $90

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Answer:

y=24

Step-by-step explanation:

4y+7+3y+5=180

7y=168

y=24

Answer:

x= 91°

Step-by-step explanation:

Sum of all angles in a triangle is 180°

So 180 - 44 - 45 = 91

x = 91

Answer:

gradient = \(\frac{3}{2}\) , y- intercept = \(\frac{5}{2}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

given

2y - 3x = 5 ( add 3x to both sides )

2y = 3x + 5 ( divide through by 2 )

y = \(\frac{3}{2}\) x + \(\frac{5}{2}\) ← in slope- intercept form

with gradient m = \(\frac{3}{2}\) and y- intercept c = \(\frac{5}{2}\)

The gradient is:

The y intercept is:

Work/explanation:

Let's rearrange the equation first so that it's in slope intercept.

Our equation is

\(\bf{2y-3x=5}\)

And we should write it in \(\bf{y=mx+b}\) form. Let's go ahead and perform the required operations.

________________________

Add 3x on each side:

\(\bf{2y=5+3x}\)

\(\bf{2y=3x+5}\)

Now, divide each side by 2:

\(\bf{y=\dfrac{3}{2}x+\dfrac{5}{2}}\)

This is the equation in slope intercept.

As for the gradient, that is the number in front of x : 3/2.

As for the y intercept, that is the constant : 5/2

Hence, these are the answers.

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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why does nobody talk to circles? :3

Answer:

Is this a joke

Step-by-step explanation:

I don’t know the answer

Maybe it’s “Because there is no point”

Answer:

(1, 1)

Step-by-step explanation:

not 100% sure though, but hope it helps

1) The dimensions of the 4 walls are:

Two walls are 20 feet long and 8 feet tall.

Two walls are 25 feet long and 8 feet tall.

2) Total area to be covered:

= 720 square feet.

3) You will need 1.8 gallons of paint to cover all four walls of the room.

Now, The dimensions of the 4 walls are:

Two walls are 20 feet long and 8 feet tall.

Two walls are 25 feet long and 8 feet tall.

And, The total area to be covered is:

For the two 20 feet long walls:

A = 20 feet x 8 feet

A = 160 square feet each.

And, For the two 25 feet long walls:

A = 25 feet x 8 feet

A = 200 square feet each.

Hence, Total area to be covered:

= (160 + 160 + 200 + 200) square feet

= 720 square feet.

For the number of gallons of paint needed, divide the total area to be covered by the area covered by one gallon of paint:

Number of gallons of paint needed = Total area to be covered / Area covered by one gallon of paint

Number of gallons of paint needed = 720 square feet / 400 square feet per gallon

Number of gallons of paint needed = 1.8 gallons

Therefore, you will need 1.8 gallons of paint to cover all four walls of the room.

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Step-by-step explanation:

tan0=opp/adj

where opposite =3,adjacent =x,=70

tan 70=3/x

2.7474=3/x

2.7474x=3

divide both sides by 2.7474

x=3/2.7474

x=1.0919

x=1.10 to 1 d.p

Answer:

mode:7

range:8

Step-by-step explanation:

mode is the most repeated number

range is the greatest -smallest number

Answer:

4(x-3) = 8

Step-by-step explanation:

4 times the difference would be 4(x-y), and we already know what y is, which is 3. Finally, the "is 8" means "equals 8" giving us our equation: 4(x-3) = 8.

Answer:

4(x-3) = 8

Step-by-step explanation:

By using trigonometric relations, we will see that the angle that the ladder makes with the ground is 64.2°, so we conclude that the ladder is safe.

Notice that the ladder makes a right triangle with the wall.

Such that the hypotenuse (the ladder itself) measures 15 ft, and one of the catheti (distance between the ground and top of the ladder) measures 13.5ft

If we considerate the angle that the ladder makes with the ground, the known cathetus is the opposite cathetus.

Then we can use the relation:

sin(x) = (opposite cathetus)/(hypotenuse)

Then:

sin(x) = (13.5ft)/(15ft)

If we use the inverse sine function on both sides, we get:

Asin(sin(x)) = Asin( 13.5ft/15ft)

x = Asin(13.5/15) = 64.2°

So the angle is less than 75°, which means that in fact, the ladder is safe.

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If all three digits in an area code could be any value from 0-9, there would be 1,000 possible area codes.

An area code is a three-digit code that is used to identify a specific geographic region within a country, usually for the purpose of routing telephone calls. In the United States and Canada, area codes are assigned to specific regions, and each area code is unique.

There are 10 possible values for each digit, so there are a total of 10 x 10 x 10 = 1000 possible combinations.

To see why this is the case, consider the first digit of the area code. There are 10 possible values for the first digit (0-9). For each of these values, there are 10 possible values for the second digit, giving us a total of 10 x 10 = 100 possible combinations for the first two digits.

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Solution:

Note that:

Simplify the equation to find the word per minute.

The word per minute is 170/9 words per minute.

Typist = \(1700\)

words = 1 hour \(30\) minutes

Lets, find the word per minute :

\(1700\) words = \(1hour 30\) minutes

\(1700\) words = \(90\) minutes

\(\frac{170}{9}\) words = \(1\) minute

The word per minute is \(\frac{170}{9}\) words per minute.

In Jameson's drawing, the nose cone has an area of 5 square inches. Each of the fins has an area of 3 square inches and the total area of the drawn rocket is 22 square inches.

From the question, we have the following parameters that can be used in our computation:

The drawing (see attachment)

The area of the nose cone is

Area = 1/2 * 5 * 2

Area = 5 square inches

For the fin, we have

Fin = 1/2 * 3 * 2

Fin = 3 square inches

Lastly, we have

Total area = (4 + 2 + 1) * 2 + 5 + 3

Total area = 22 square inches

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Answer:

The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].

What are intervals?

The intervals are numbers or values between two given point

The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

We have

A number line.

The set of values that is in the blue line is from -4 to 3.

This means that the blue line includes values from -4 to 3.

There are infinite numbers between -4 to 3.

The blue line denoted that the values -4 and 3 are also included.

The interval that denotes the values between -4 and 3 is:

= [-4, 3]

Thus,

The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].

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Answer:

3 3/20 or 63/20

Step-by-step explanation:

Answer:

Explanation:

Given the equation;

We want to make q the subject of formula;

firstly, let's subtract 3p from both sides;

Then let us divide both sides by the coefficient of q;

Therefore, making q the subject of formula;

Answer:(26,10) is your answer

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

9/4=2.25

2.25x8=18in

Part A :

Yes, the statement is true that  P( A and B ) = 0 .

Given,

Event A and Event B are mutually exclusive.

Thus P ( A and B ) = 0

Part B:

A and B are mutually exclusive events if they do not occur at the same time.

This means that A and B do not share any common outcomes and

P(A and B) = 0.

Part C:

Let,

The sample space W = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Let A = {1, 2, 3, 4, 5}, Y = {4, 5, 6, 7, 8}, and B = {7, 9}.

A and B do not have any numbers in common so P(A and B) = 0.

Hence, A and B are mutually exclusive.

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