how many whole numbers are there between 121and176

​

Answer:

1. C: y = 3x - 5

2. B: y = -3x - 9

Step-by-step explanation:

1.

y = 3x + 9; (2, 1) (parallel)

                 (x₁, y₁)

y - y₁ = m(x - x₁)

y - 1 = 3(x - 2)

y - 1 = 3x - 6

   +1         +1

-------------------

y = 3x - 5

----------------------------------------------------------------------------------------------------------

2.

y = (1/3)x - 6 ; (-3, 0) (perpendicular)

                     (x₁, y₁)

y - y₁ = m(x - x₁)

y - 0 = -3(x - (-3))

y - 0 = -3(x + 3)

y - 0 = -3x - 9

   +0          +0

----------------------

y = -3x - 9

I hope this helps!

Answer: 1200 red and 800 blue

Answer:

Both ans are attached

Answer: -The probability of setting his alarm is 1-0.1=0.9

-The probability of being in time is therefore calculated as:

0.9 x  0.95 + 0.1 x 0.25

= 0.88

Hence, the probability that the professor shows up in time is 0.88

Step-by-step explanation:

Answer:

18. m<EBC = 43°, m<CBD = 47°

19. m<EBC = 50°, m<ABC = 130°

Step-by-step explanation:

18. Find m<EBC and m<CBD

m<EBC = (5x + 8) and m<CBD = (6x + 5)

these two angles add up to a right angle, therefore their sum is 90°

5x + 8 + 6x + 5 = 90

11x + 13 = 90 , 11x = 77 , x = 7

m<EBC: 5(7) + 8 = 43

m<CBD: 6(7) + 5 = 47

19. Find m<EBC and m<ABC

m<EBC = (3x + 20) and m<ABC = (17x - 40)

these two angles are supplementary, meaning that they add up to 180°

3x + 20 + 17x - 40 = 180

20x - 20 = 180, 20x = 200, x = 10

m<EBC: 3(10) + 20 = 50

m<ABC: 17(10) - 40 = 130

The values of x when f(x) = 0 are 2 and 8

Graphs are used mostly to show the relationship between two variables (usually x and y).

The graph of y = f(x) is attached

To get the values of x when f(x) = 0 , we  consider where the line of the graph crosses the x-axis.

The graph crosses the x-axis at:

x = 2

x = 8

This means that the values of x when f(x) = 0 are 2 and 8

Therefore, in the graph of y = f(x), the values of x where f(x) = 0 are 2 and 8

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Disclaimer : The question mentined is not provided with a graph, the above solution is done as per the graph attached.

By using the basics of the number system the calculated number from the given statement is 10.

What is number system?

In mathematics, the number system can be used to express the numbers in a way of writing to make the mathematical expression. Basically, it provide the unique representation of the number with the help of the algebraic structures and operations.

According to the question, the expression can be formed by the given statement is as follows:

Let us assume the number be 'a'

Using basics of the number system for the formation of an expression:

Therefore,

(2/5)a - 3 = 1

⇒ (2/5)a = 4

⇒ a = 10

Hence, by using the basics of the number system the calculated number from the given statement is 10.

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Answer:

-4 11/15

Step-by-step explanation:

Lisa spent 90% of the total money on the fruits.

In mathematics, a percentage is a number or ratio expressed as a fraction of 100.

Given is Lisa spent $27 on fruits at the grocery store. She spent a total of $30 at the same store.

Money spent by Lisa on fruits = $27

Total money spent by Lisa = $30

Therefore, percentage of the total money she spend on fruits will be -

(27/30) x 100 = 90%

Hence, Lisa spent 90% of the total money on the fruits.

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The new conditional statement that follows from the pair of true statement is If 4x + 5 = 13; then -5x = -10

The law of Syllogism states that if the following two statements are true:

Statement 1: If x , then y

Statement 2: If y , then z

Then we can derive a third true statement:

Statement 3: If x , then z

From the given;

Statement 1: If x , then y

If 4x + 5 = 13; then x = 2

Statement 2: If y , then z

If x = 2; then -5x = -10

Statement 3: If x , then z

If 4x + 5 = 13; then -5x = -10

In conclusion, according to the law of Syllogism, the statement that follows from the pair of true statement is If 4x + 5 = 13; then -5x = -10

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Given : Professor randomly selects two people to go to board to work on problems.

To find: Probability of chosen first or second person to go to the board.

Let [tex]x[/tex] be the total no. of students.

After the first student is chosen, no of students left = [tex]x[/tex] - 1

Therefore,

the required probability = 1 / total no. of students x no. of students left

⇒ 1 / [tex]x[/tex] ([tex]x[/tex]- 1 )

= 1 / ([tex]x^{2} - x[/tex])

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Answer:

y= 1/2x+3.5

Step-by-step explanation:

Answer:

y= 1/2x+3.5

I took the test this is right

Step-by-step explanation:

Answer:1.5 cars can be washed in 1 minute but realistically only 1 car can be washed

Step-by-step explanation: 24/16 =1.5 and that get you your answer of 1.5 but the correct answer is 1.5 or 1 depending on if they are asking you to round down or not.

Answer:

what do you mean?

Step-by-step explanation:

Our range is 0 x  10, We could also graph this with x along with the x-axis and w along the y-axis then every minute 50x gallons are gone

We have 500 gallons of the water tank and it drains at the rate of 50 gallons per minute,

.Let's suppose after 5 minutes,

W = 500 - 50 * 5W = 500 - 250W = 250

After 5 minutes, 250 gallons are left in the water tank.

Here the lowest value is 0 so our maximum time is once the tank emptied, or when w is equal to 0.

0 = 500 - 50x

50x = 500X = 500/50X = 10

So, our range is 0 x  10

We could also graph this with x along with x-axis and w along the y-axis, in the graph the x- intercept where the tank is empty

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The machine will use 90 gallons of water to wash 24.5 pounds of laundry.

                     y ∝ x

Consequently, y = kx, where k is the proportionality constant.

Given:

The amount of water used by a washing machine varies directly with the weight of the load being washed.

Let's assume,

The amount of water used by a washing machine is y.

The weight of the load being washed is x.

According to the question,

y = 28 gallons

x = 7 pounds

Putting the values we get,

y = kx

28 = k × 7

k = 4

Now, we have to find y when x = 24.5

y = 4 × 24.5 = 98

Hence the machine will use 90 gallons of water to wash 24.5 pounds of laundry.

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By using division, if 89 members of the Taft school band spend a total of $4628 for tickets to Hammond's amusement park, The the cost of each amusement park ticket is $52

The total number of members of the Taft school = 89 members

The total cost for the ticket to Hammond's amusement park = $4628

The cost of each amusement park ticket = The total cost for the ticket to Hammond's amusement park ÷ The total number of members of the Taft school

Substitute the values in the equation

The cost of each amusement park ticket = 4628/89

= $52

Hence, by using division, if 89 members of the Taft school band spend a total of $4628 for tickets to Hammond's amusement park, The the cost of each amusement park ticket is $52

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Answer:

32.64

Step-by-step explanation:

Answer: 31, 34, 17

Step-by-step explanation:

Answer:

y = (3/2)x + 3

Step-by-step explanation:

Comment

The general equation is

y = mx + b

Finding m

The equation for the slope is

m = (y2 - y1)/(x2 - x1)

Givens

y2 = 3

y1 = 0

x2 = 0

x1 = - 2

m = (3 - 0)/(0 - -2)

m = 3 / 2

m = 3/2

Finding b

b is the y intercept which is (0,3)

x = 0

y = 3

3 = 0*3 + b

b = 3

So the equation is

y = (3/2) x + 3

Answer:

$8.50 ? let me know if im wrong

Step-by-step explanation:

Using the unit rate, the graphs that best represent the amount they earn for different amount of time is: C.

The slope of a graph can be interpreted as the unit rate of the scenario that is being represented by the graph. For example, money earned in dollars per hour worked is the unit rate or slope of the graph given in this scenario.

The larger the unit rate value, the steeper the slope of the line of the graph.

Let Lin's unit rate be represented as x, therefore,

Lin's unit rate = x

Diego's unit rate = 2x

Jada's unit rate = 2(2x) = 4x

This shows that unit rate of Jada is the highest, and therefore, the graph that would represent how much Jada earns would be the steepest, followed by Diego's, and the least is Lin's.

Therefore, the all the graphs would be: C.

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Answer:

1. P

2. U

3. K

4. A

5. M

6. C

7. E

8. J

9. L

10. I

Answer:

Formula for gradient is given as (y2-y1)÷(x2-x1) or (y1-y2)÷(x1-x2), where x and y are the coordinates of the points.

(k-4)÷(0-1) = 9

k-4 = 9(0-1)

k-4 = -9

k = -5

From the question;

we are to calculate average rate of change of distance with respect to time

The average rate of change is given as

From the question we are given the table below

a. we are to find the average rate of change of the distance driven from 0 secons to 3 seconds

From the information

we have

The expected area of a circular sampling region is 531.56 m²

Given,

The radius of the circular sampling region = 13m

f(r) = [tex]\left \{ {\frac{3}{4} } \atop {0}} \right.[/tex] [1 - (13 - r)²] 12 ≤ r ≤ 14

We have to find the area of the circular sampling region = E (π r²)

E (π r²) = π E (r²)

Lets find E (r²)

E (r²) =₁₂ [tex]\int\limits^[/tex]¹⁴ r² f(r) dr

= ₁₂∫¹⁴ (3r²/4) (1 - (13 -r)²) dr

=  3/4 ₁₂∫¹⁴ r² (1 - 169 - r² + 26r) dr

= 3/4 ₁₂∫¹⁴ r² (26r³ - r⁴ - 168r²) dr

= 3/4 [ 26r⁴/4 - r⁵/5 - 168r³/3]₁₂¹⁴

= 3/4 [ (26 × 14⁴)/4 - 14⁵/5 - (168 × 14³)/3] - [ (26 × 12⁴)/4 - 12⁵/5 (168 × 12³)/3]

= 3/4 [ (26 × 38416)/4 - 537824/5 - (168 × 2744)/3] - [ (26 × 20736)/4 - 248832/5 - (168 × 1728)/3]

= 3/4 [ 249704 - 107564.8 - 153664] - [ 134784 - 49766.4 - 96768]

= 3/4 [-11524.8] - [-11750.4]

= 3/4 [225.6]

= 169.2

∴ E(r²) = 169.2

Now lets find the expected area of the circular sampling region:

Area = E(π r²) =  π E (r²)

Here, E(r²) = 169.2

So, area = π × 169.2 = 531.56 m²

That is, the expected area of a circular sampling region is 531.56 m²

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Answer:

1

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

let x be the fifth number , then

[tex]\frac{8+10+12+10+x}{5}[/tex] = 8.2 ( multiply both sides by 5 to clear the fraction )

40 + x = 41 ( subtract 40 from both sides )

x = 1

the fifth number is 1

Answer:

[tex]-2(x+5) = -2x -10[/tex]

Step-by-step explanation:

Hi there,

For us to answer the question we have to check if whether the end product on the both LHS and RHS are equal or not , so lets take each equation is whether both the sides are similar or not :

First eq :-

[tex]-2(x-5) = -2x + 5\\giving\\-2x+10\neq -2x+5[/tex]

Since it is not equal it is incorrect.

Second eq:-

[tex]-2(x+5) = -2x-5\\giving\\-2x-10\neq -2x-5[/tex]

Since it is not equal it is incorrect.

Third eq:-

[tex]-2(x+5) = -2x -10\\giving\\-2x-10=-2x-10\\[/tex]

Now we got the equation that equals both in LHS and RHS.

So our Answer is

[tex]-2(x+5) = -2x -10[/tex]

Hope this helped you out if so do mark me as the brainliest,

a fellow mate,

cheers!

Answer:

35+15 =50

50/2= 25 dollars