Find the HCF of 96 and 108

Answer:

Yes, it equals 0.

Step-by-step explanation:

12+-8=3(x+4)

12+-8x=3x+12

-8x+12=3x+12

-8x+12-3x=3x+12-3x

-11x+12=12

-11x+12-12=12-12

-11x=0

-11x/-11=0/-11

x=0

Answer:

(f-g)(x)=x+14

Step-by-step explanation:

Operations with Functions

Given two functions f(x) and g(x), the following operations are defined:

(f+g)(x)=f(x)+g(x)

(f-g)(x)=f(x)-g(x)

(f*g)(x)=f(x)*g(x)

(f/g)(x)=f(x)/g(x)

We have f(x)=3x+10 and g(x)=2x-4. Use the second formula to find

(f-g)(x)=(3x+10)-(2x-4)

Operating:

(f-g)(x)=3x+10-2x+4

Joining like terms:

(f-g)(x)=x+14

The equilibrium quantity is 120 units. The quantity supplied (Qs) equal to the quantity demanded (Qd) and solve for the value of Q.

To find the equilibrium quantity, we need to set the quantity supplied (Qs) equal to the quantity demanded (Qd) and solve for the value of Q.

Given:

Qs = -20 + 10p

Qd = 400 - 20p

Setting Qs equal to Qd:

-20 + 10p = 400 - 20p

Let's solve this equation for p:

10p + 20p = 400 + 20

30p = 420

p = 420/30

p = 14

Now that we have the value of p, we can substitute it back into either the Qs or Qd equation to find the equilibrium quantity.

Using Qd = 400 - 20p:

Qd = 400 - 20(14)

Qd = 400 - 280

Qd = 120

Therefore, the equilibrium quantity is 120 units.

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rAnswer:

50%

Step-by-step explanation:

7 nurses

3 doctors

4 offices

14 in total

7/14 or 50% is the probability

The probability that three nurses are selected is 7/14.

Probability refers to a possibility that deals with the occurrence of random events.

From the information, the total outcome if nurses are randomly selected is expressed as:

Total outcome = 7 + 4 + 3 = 14 outcomes

In order to get the probability that three nurses are selected, the expected outcome is 7;

P = 7/14

Hence the probability that three nurses are selected is 7/14.

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Answer:

<GBF

Step-by-step explanation:

<GBF is congruent to <CBE because they are vertical angles.

The vertical angle theorem states this is true.

Vertical angles are formed by a pair of intersecting lines and are the angles directly across from each other.

Since <GBF and <CBE are vertical angles, they are hence congruent.

Answer:

-299

Step-by-step explanation:

Answer:

-187

Step-by-step explanation:

2*2-45+2-4*37

(multiply)

4-45+2-148

(calculate)

-187

Answer:

0.0016

Step-by-step explanation:

calculator was used

Answer: not simplified   -4      simplified  1/5^4

Step-by-step explanation:

Answer:

y≤-7 or y≥-7

Step-by-step explanation:

It will depend on the shading of the graph but this graph is not shaded so either one of them will be your answer.

Answer:

2.05

Step-by-step explanation:

Answer:

i think photomath will help you with those

Step-by-step explanation:

go to your appstore and download photomath

Answer:

x = -1

Step-by-step explanation:

Answer:

[tex]\boxed {x = -1}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]3x - \frac{8}{2} = x - 6[/tex]

-Divide [tex]8[/tex] by [tex]4[/tex]:

[tex]3x - \frac{8}{2} = x - 6[/tex]

[tex]3x - 4 = x - 6[/tex]

-Take [tex]x[/tex] and subtract it from [tex]3x[/tex]:

[tex]3x - 4 - x = x - x - 6[/tex]

[tex]2x - 4 = -6[/tex]

-Add [tex]4[/tex] to both sides:

[tex]2x - 4 + 4 = -6 + 4[/tex]

[tex]2x = -2[/tex]

-Divide both sides by [tex]2[/tex]:

[tex]\frac{2x}{2} = \frac{-2}{2}[/tex]

[tex]\boxed {x = -1}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]-1[/tex].

Answer:

The perimeter of Chen's office is 46.6 feet.

Step-by-step explanation:

Since the perimeter P = 2l + 2w where l = length of Chen's office and w = width of Chen's office.

Now, since length of Chen's office = l = 15.5 feet and width of Chen's office = w = 7.8 feet, we substitute these values into the equation for the perimeter.

Substituting these values of length and width, we have

P = 2l + 2w

P = 2(15.5) + 2(7.8)

P = 31 + 15.6

P = 46.6 feet

So, the perimeter of Chen's office is 46.6 feet.

Answer:

36 pizzas

4 cases of sauce and 3 cases of cheese.

Step-by-step explanation:

In order to solve this problem, we need to find the least common multiple of both of these numbers. We do this by simply multiplying these numbers by each factor of 1 until an equal value is an output. Like so...

9*1 = 9                    12*1 = 12

9*2 = 18                  12*2 = 24

9*3 = 27                  12*3 = 36

9*4 = 36

We can now see that the fewest number of pizzas we can make without having anything left over is 36 pizzas. To do this we would need 4 cases of sauce and 3 cases of cheese.

Answer:

[tex]\frac{35}{12}[/tex]

Step-by-step explanation:

[tex]\frac{17}{3} -\frac{11}{4}=[/tex]

[tex]\frac{68}{12}-\frac{33}{12}=[/tex]

[tex]\frac{35}{12}[/tex]

Answer:

2 11/12

Step-by-step explanation:

Well... technically 5 2/3 and 2 3/4 are fractions so you subtract em

Answer:

Each kid will get 2.5 submarine sandwiches

Step-by-step explanation:

Answer:

6 by 3 by 8

Step-by-step explanation:

The volume of the original prism is 144 (6 times 3 times 8). When you multiply 144 by 4, you get 576. So, the original prism dimensions are 6 by 3 by 8.

Hope this helps! <3

Answer:3 by 3 by 1

Step-by-step explanation:

Answer:

612

Step-by-step explanation:

take 153 and  2 and divide

153/2=76.5

This answer is your rate in mph, so now take this and multiply by hours given  

76.5*8=612 use a calculator.

Answer:

Step-by-step explanation:

1.

-5 is the slope

-4 is the y intercept i know ur gonna be like its not negative but it is trust me

2.  y intercept is 4

slope is 3

3. the y intercept is 3

the slope is 3/2

I cant do four but there are these

Answer:

  27. 3

  28. 2a

  29. y²

  30. 280yz

  31. 1

  32. 1/3

Step-by-step explanation:

One way to think about a coefficient is this: Set the value of the variable of interest to 1 and evaluate the expression. The value of the expression is the coefficient of the variable of interest.

Here, you're only interested in the variable x, so its coefficient is everything that is not x. The coefficients are ...

27. 3

28. 2a

29. y²

30. 280yz

31. 1 . . . . . a lot of students get tripped up by this one. Setting x=1 makes it obvious.

32. 1/3

_____

Sometimes you're asked for the coefficient in a term. In the case of the term 280xyz, the appropriate answer to that question is 280, the constant that multiplies all the variables. When no constant is showing, the coefficient is 1, as in question 31.

Answer:

angles 2 and 8; then angles 8 and 6

Step-by-step explanation:

Angles 2 and 8 are corresponding angles and are congruent.

Angles 8 and 6 are alternate interior angles and are congruent.

Answer: angles 2 and 8; then angles 8 and 6

Answer:

X = 5 + (Gr)/3

Step-by-step explanation:

Step 1: Write equation

3X - Gr + 5 = 20

Step 2: Subtract 5 on both sides

3X - Gr = 15

Step 3: Add Gr to both sides

3X = 15 + Gr

Step 4: Divide both sides by 3

X = 5 + (Gr)/3

Answer:

X = Gr/3 + 5

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. I'm pretty sure this is the answer, if I got it wrong sorry ^^'

This is also my first answer, I'm kinda nervous that I got it wrong lol :)

The probabilities are

a. P(X=0) = 0.3277

b. P(X=8) = 0.00195

c. P(X=7) = 0.2228

d. P(X=3) = 0.4095

To determine the probabilities for the given scenarios, we can use the binomial probability formula:

P(X = k) = (n C k) * π^k * (1 - π)^(n - k)

where:

P(X = k) represents the probability of getting exactly k successes,

n is the number of trials,

π is the probability of success in a single trial,

(n C k) represents the combination of n items taken k at a time.

a. For n = 5 and π = 0.19, to find P(X = 0):

P(X = 0) = (5 C 0) * 0.19^0 * (1 - 0.19)^(5 - 0)

        = 1 * 1 * 0.81^5

        ≈ 0.3277

Rounded to four decimal places, P(X = 0) is approximately 0.3277.

b. For n = 9 and π = 0.50, to find P(X = 8):

P(X = 8) = (9 C 8) * 0.50^8 * (1 - 0.50)^(9 - 8)

        = 9 * 0.50^8 * 0.50^1

        = 9 * 0.50^9

        ≈ 0.00195

Rounded to four decimal places, P(X = 8) is approximately 0.00195.

c. For n = 9 and π = 0.40, to find P(X = 7):

P(X = 7) = (9 C 7) * 0.40^7 * (1 - 0.40)^(9 - 7)

        = 36 * 0.40^7 * 0.60^2

        ≈ 0.2228

Rounded to four decimal places, P(X = 7) is approximately 0.2228.

d. For n = 4 and π = 0.85, to find P(X = 3):

P(X = 3) = (4 C 3) * 0.85^3 * (1 - 0.85)^(4 - 3)

        = 4 * 0.85^3 * 0.15^1

        ≈ 0.4095

Rounded to four decimal places, P(X = 3) is approximately 0.4095.

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The stem and leaf for the data values is

1 | 3 5 8

2 | 4 2

3 | 4 5 6

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

Data values:

13, 15, 18, 24, 27, 34, 35, 36.

Sort in order of tens

So, we have

13, 15, 18, 24, 27, 34, 35, 36.

Next, we draw the stem and leaf as follows:

a | b

Where

a = stem

b = leave

number = a + b

Using the above as a guide, we have the following:

1 | 3 5 8

2 | 4 2

3 | 4 5 6

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answer:

4/63

steps:

5/9 x 4/7=20/63

20/63 x 1/5=4/63

When we differentiate the function y = f(x) with respect to x, we obtain dy/dx = 10x - 6. The differential of the function is then expressed as dy = (10x - 6)dx.

Let's go through the steps in more detail:

Start with the equation y = f(x).

To find the differential, we differentiate both sides of the equation with respect to x, which gives us dy/dx on the left side and d/dx (5x^2 - 6x) on the right side.

Applying the power rule of differentiation, the derivative of 5x^2 with respect to x is 10x. The derivative of -6x with respect to x is -6.

Combining these derivatives, we get dy/dx = 10x - 6.

The differential of the function is represented as dy = (10x - 6)dx, where dx represents a small change in the x-value and dy represents the corresponding small change in the y-value.

In summary, when we differentiate the function y = f(x) with respect to x, we obtain dy/dx = 10x - 6. The differential of the function is then expressed as dy = (10x - 6)dx.

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When Delmar travels at speed of60 mph, it will take him 16 hours.

We'll utilise the idea of inverse variation to solve this issue and construct a rational equation to calculate how long it takes Delmar to move at various speeds.

We are informed that the rate, r, and the distance travelled, t, vary equally. This can be mathematically represented as

t = k/ r

where k is a variational constant.

Let's use the information provided now. Delmar needs 12 hours to complete the trip when travelling at 80 mph. These values can be used to change the equation.

12 = k/ 80

We can cross-multiply to determine the value of k.

12 * 80 = k

k = 960

Knowing the value of k, we can now:we may apply the equation to calculate how long it takes Delmar to move at 60 miles per hour.

t = 960/60

Simplifying

t = 16

Delmar will arrive in 16 hours if he travels at a speed of 60 mph.

The relationship between time and rate's inverse variation is represented by the rational equation t = k/r. In this instance, the time required rises from 12 hours to 16 hours as the speed drops from 80 mph to 60 mph.

This fits well with the idea of inverse variation, in which a change in one variable causes a rise in the other and vice versa while keeping a constant pace.

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Answer:

air is a type of oxegen that we breath

Step-by-step explanation:

we get air from trees .

Answer:

Step-by-step explanation:

a. x=11 1/3

b. x=4

c. x=2

d. x=7