Solve for t. Please help asap!

Answer:

66/8

Explanation

8x8+2=66/8  

66/8 simplafied is 33/8

A digit to make the number divisible by 3 is by adding the digit 2 to the number 1234.

To make the number 1234 divisible by 3, we can find the sum of its digits and determine if it is divisible by 3. If the sum of the digits is divisible by 3, then the original number is also divisible by 3.

Let's calculate the sum of the digits in 1234:

1 + 2 + 3 + 4 = 10

The sum of the digits is 10. Since 10 is not divisible by 3, we need to add or subtract a digit to make the sum divisible by 3.

To find the digit we need to add or subtract, we can use the fact that the difference between the original sum and the next multiple of 3 is the required digit.

The next multiple of 3 greater than 10 is 12 (12 - 10 = 2). Therefore, we need to add 2 to the number 1234 to make it divisible by 3.

1234 + 2 = 1236

we obtain the number 1236, which is divisible by 3.

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Answer: 18.78 cubic feet

Step-by-step explanation:

The detailed analysis is attached below.

a ) Construction of stem and leaf display of the data is:

For n = 129 and with splint unit = 0.1, the stem and splint map of the given data on Shower- inflow rate( L/ min) is as follows

a stem-and-leaf display of the data.

   Stems                                                Leaves

       2                                                       28

       3                                                1344567789

       4                                                 01356889

       5                                          00001114455666789

       6                              0000122223344456667789999

       7                                     00012233455555668

       8                                                02233448

       9                                         012233335666788

      10                                             2344455688

      11                                                2335999

      12                                                     17

      13                                                      9

      14                                                     36

      15                                                  0035

      16                                                  None

      17                                                  None

      18                                                     3

b) From brume and splint map we note that minimal Shower inflow rate is2.2 whereas outside is18.3 L/ mim. farther typical or representative rate is7.0 L/min.

c) The display of data on steam and leaf chart shows that data is positively skewed means concentration of data on left side or lower value side is high as compared to other side.

d) Distribution is not symmetric rather very clear positive skew ness is observed through steam and leaf chart. Even distribution is Unimodal.

e) From steam and leaf chart is indicative to conclude that the highest observation 18.3 is outlier.

A stem and splint plot, also known as a stem and splint illustration, is a way to arrange data so that it's simple to see how constantly colorful feathers of values do. It's a graph that displays ordered numerical data. A stem and a splint are divided into each piece of data.

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Complete question:

The accompanying data set consists of observations on shower-flow rate (L/min) for a sample of n = 129 houses:

4.6 12.1 7.1 7.0 4.0 9.2 6.7 6.9 11.5 5.1

11.2 10.5 14.3 8.0 8.8 6.4 5.1 5.6 9.6 7.5

7.5 6.2 5.8 2.8 3.4 10.4 9.8 6.6 3.7 6.4

8.3 6.5 7.6 9.3 9.2 7.3 5.0 6.3 13.9 6.2

5.4 4.8 7.5 6.0 6.9 10.8 7.5 6.6 5.0 3.3

7.6 3.9 11.9 2.2 15.0 7.2 6.1 15.3 18.3 7.2

5.4 5.5 4.3 9.0 12.7 11.3 7.4 5.0 3.5 8.2

8.4 7.3 10.3 11.9 6.0 5.6 9.5 9.3 10.4 9.7

5.1 6.7 10.2 6.2 8.4 7.0 4.8 5.6 10.5 14.6

10.8 15.5 7.5 6.4 3.4 5.5 6.6 5.9 15.0 9.6

7.8 7.0 6.9 4.1 3.6 11.9 3.7 5.7 6.8 11.3

9.3 9.6 10.4 9.3 6.9 9.8 9.1 10.6 4.5 6.2

8.3 3.1 4.9 5.0 6.0 8.2 6.3 3.8 6.0

(a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)

Stems Leaves

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

(b) What is a typical, or representative, flow rate?

L/min

(c) Does the display appear to be highly concentrated or spread out?

highly concentrated, except for a few values on the positive sidehighly concentrated in the middle highly concentrated, except for a few values on the negative sidespread out

(d) Does the distribution of values appear to be reasonably symmetric? If not, how would you describe the departure from symmetry?

Yes, the distribution appears to be reasonably symmetric.No, the data are skewed to the right, or positively skewed. No, the data are skewed to the left, or negatively skewed.No, the distribution of the values appears to be bimodal.

(e) Would you describe any observation as being far from the rest of the data (an outlier)?

Yes, the value 2.2 appears to be an outlier.Yes, the value 15.5 appears to be an outlier. Yes, the value 18.3 appears to be an outlier.No, none of the observations appear to be an outlier.

The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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To find the unit rate, we need to determine how much distance Margo covers in one unit of time. We can do this by dividing the distance by the time.

Distance = 1/4 mile

Time = 1/12 hour

Unit rate = Distance ÷ Time

Unit rate = (1/4 mile) ÷ (1/12 hour)

We can simplify this division by multiplying both the numerator and denominator by the least common multiple of 4 and 12, which is 12.

Unit rate = (1/4 mile) ÷ (1/12 hour) x (12/12)

Unit rate = (3/4 mile) ÷ 1 hour

Unit rate = 3/4 mile per hour

Therefore, Margo's unit rate is 3/4 mile per hour. This means that she can cover a distance of 3/4 mile in one hour of walking.

Answer:

3mph

Step-by-step explanation:

1/12 of an hour will be 5 min. In 5 min she can walk 1/4 mile then in one hour she can walk 1/4 x 12. This means her rate will be 3 miles per hour.

60/12 = 5

12 x 1/4 = 12/4 = 3

The experimental probability of tossing a 3 is 22% ( option D).

Experimental probability, which is also known as Empirical probability, is based on actual experiments and adequate recordings of the occurring of events. An experiment can be repeated a fixed number of times and each repetition is known as a trial. The formula for the experimental probability is defined by;

Probability of an Event P(E) = Number of times an event occurs / Total number of events

From the table it is visible that the occurrence of tossing 3 is 11 times.

So by the definition of experimental probability the possibility is 11/50

As the table given is the result for tossing a number cube 50 times.

In 50 times the possibility is 11

In 1 time the possibility is 11/50

In 100 times the possibility is (11×100)/50

                                              = 22

Hence, the experimental probability of tossing a 3 is 22%.

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Answer:

Please check the explanation.

Step-by-step explanation:

Given the set B

Analysis of the elements in the set B

We can check that each element in set B is a square of a whole number.

Therefore, we conclude that:

B = { square numbers less than 30 }.

or

B = {m/m is square of a whole number; \(0 \leq m \leq 5\) }

Answer:

1. 401(k)

2. IRA

3. 403(b)

Step-by-step explanation:

1. 401(k) is a employer-sponsored defined-contribution pension account

2. IRA stands for individual retirement account (hence individual)

3. 403(b) is a tax-advantaged retirement savings plan

hope this helps!!

Answer:

1.401k

2.425k

3.740k

Step-by-step explanation:

hehe naisip ko lang haha

The area of the sidewalk is 388 square feet.

To find the area of the sidewalk you can find the area of each individual shape and add them together.

Area of the first triangle T = (1/2) x 6 ft x 11 ft = 33 sq. ft.

Area of the second triangle = (1/2) x 6 ft x 18 ft = 54 sq. ft.

Area of the rectangle = 6 ft x 30 ft = 180 sq. ft.

Area of the square = 11 ft x 11 ft = 121 sq. ft.

Therefore, the total area of the sidewalk is:

33 sq. ft. + 54 sq. ft. + 180 sq. ft. + 121 sq. ft. = 388 sq. ft.

So, the area of the sidewalk is 388 square feet.

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Answer:

I think this is the answer

9 blue marbles

3x=27

The equation which represents the given scenerio is 3b=27 and the number of blue marbles are 9.

Two or more expressions with an Equal sign is called as Equation.

Let b represents the number of blue marbles.

r represents number of red marbles in jar.

The number of red marbles in a jar is 3 times the number of blue marbles.

r=3b

There are 27 red marbles and b blue marbles.

27=3b

To find the number of blue marbles we have to solve the above equation.

Divide both sides by 3

27/3=3b/3

9=b

Hence, the equation which represents the given scenerio is 3b=27 and the number of blue marbles are 9.

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Answer:

No

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

y = 3x + 1 ← is in slope- intercept form

with slope m = 3

Calculate the slope using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2,4) and (x₂, y₂ ) = (4, 12) ← 2 ordered pairs from the table

m = \(\frac{12-4}{4-2}\) = \(\frac{8}{2}\) = 4

Parallel lines have equal slopes

The slope of these 2 lines are not equal , thus not parallel

Answer:

alternate interior angles are congruent

The conversion is given as 1, 760 feet per second

We need to convert 20miles per hour to feet per second

First, we should convert miles to feet

1 mile = 5280 feet

Then,

20 miles = x

Cross multiply

20 × 5280 = x

x = 105, 600

Per hour = I hour = 60 seconds

To find the conversion, we divided the conversion to feet by that of the time

= 105, 600/60

= 1, 760 feet per second

Thus, the conversion is given as 1, 760 feet per second

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Check the picture below.

Answer:

S=L+W

8+8+8+8

16+16

=56

The order of the given fractions will be 5/3>3/2>5/6.

What exactly is a fraction?

A fraction is a mathematical term that represents a portion or part of a whole. It represents the equal parts of the whole. A fraction has two components: the numerator and the denominator. The top number is referred to as the numerator, while the bottom number is referred to as the denominator. The denominator describes the total number of equal parts in a whole, whereas the numerator defines the number of equal parts taken.

5/10, for example, is a fraction.

In this case, 5 is the numerator and 10 is the denominator.

Now,

Given fractions are 5/6 ,5/3,  3/2

lets make the denominator same

Divide and multiply fraction 2 and 3 by 2 and 3 respectively

then fractions are 5/6, 10/6, 9/6

so, the order will be 10/6>9/6>5/6 i.e. 5/3>3/2>5/6

hence,

           The order of the given  fractions will be 5/3>3/2>5/6.

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The function g(x) in the form a(x-h)^2 + k is: \(g(x) = (x + 2)^2 - 4\)

Starting with\(f(x) = x^2\), the translation 2 units left and 4 units down would result in the following transformation:

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

Substituting\(f(x) = x^2:\)

\(g(x) = (x + 2)^2 - 4\)

Expanding the square:

\(g(x) = x^2 + 4x + 4 - 4\)

Simplifying:

\(g(x) = x^2 + 4x\)

Now we need to rewrite this expression in the form \(a(x-h)^2 + k.\) To do this, we will complete the square:

\(g(x) = x^2 + 4x\\g(x) = (x^2 + 4x + 4) - 4\\g(x) = (x + 2)^2 - 4\)

Therefore, the function g(x) in the form a(x-h)^2 + k is:

\(g(x) = (x + 2)^2 - 4\)

Where a = 1, h = -2, and k = -4.

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*See attachment for the simplified model of the monument

Answer:

The correct option is B. 13ft.

YES to option B. NO to A and C.

Step-by-step Explanation:

=>Given: Model of the monument consisting of a rectangular pyramid and a rectangular prism having a total volume of 66ft³.

Volume of monument = Volume of Pyramid + Volume of Prism = 66ft³

=>Dimensions of given rectangular pyramid:

base length (l) = 3ft

base width = 2ft

height of pyramid (h) = ? (h = Unknown)

Base Area (B) = l × w = 3 × 2 = 6ft²

Volume of pyramid = ⅓ × base area (B) × h = ⅓ × 6 × h

V of Pyramid = 2h ft³

=> Dimensions of the rectangular prism:

base length (l) = 3ft

base width (w) = 2ft

Height of prism (h) = 10ft

Base area (B) = l × w = 3 × 2 = 6 ft³

Volume of prism = base area (B) × height (h)

V of prism = 6 × 10 = 60 ft³

We are required to find the possible height of the monument.

Height of monument = height of pyramid + height of prism

Height of pyramid is unknown (h)

Height of prism = 10ft

Let's find the height of the pyramid using the Volume of the monument = volume of pyramid + volume of prism

Thus,

V of monument = 66 ft³

V of pyramid = 2h ft³

V of prism = 60 ft³

Therefore,

66 = 2h + 60

Subtract 60 from both sides

66 - 60 = 2h + 60 - 60

6 = 2h

Divide both sides by 2

3 = h

Height of pyramid (h) = 3ft

Height of monument = h of Pyramid + h of prism

Height of monument = 3 + 10

Height of monument = 13ft.

The correct option is B. 13ft.

YES to option B. NO to A and C.

If the point (4, -1) is a point on the graph of f, then f(4) = -1.

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

Point ​(4,−​1) is a point on the graph of​ f

The expression "f(4)" represents the output value of the function f, when 4 is plugged into it as the input.

If the point (4, -1) is on the graph of f, it means that for the input value of 4, the output value of the function is -1.

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Answer:

28 degrees

Step-by-step explanation:

We know that (4x + 7) + (2x + 5) add up to a straight angle = 180 degrees, so we have the equation 4x + 7 + 2x + 5 = 180.

By combining like terms, we get 6x + 12 = 180.

Subtract 12 from both sides of the equation to get 6x = 168. Divide both sides by 6 and you get x = 28.

Answer

$199.8

Explanation:

Find the total amount of money he had in the begining. It says that he can spend $18 on each student. He has 18 students so you would multiply that by the $18 he can spend which gives a total of $324 then you subtract the total cost of the calculators from it which then gives you $199.8

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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Step-by-step explanation:

4

Answer:

5:11

Step-by-step explanation:

Answer:

5/11

Step-by-step explanation:

a.The Industry Average Salary is $55,680. b.The Firm A's Average Salary is $51,718.40 .c. Firm B's average salary is approximately 112.27% of Firm A's average salary.

a. To determine the industry average salary, we can use the information that the industry average salary is 96% of Firm B's average salary. Firm B's average salary is $58,000. Therefore, we can calculate the industry average salary as follows:

Industry Average Salary = 96% of Firm B's Average Salary

= 0.96 * $58,000

= $55,680

b. Firm A's average salary is stated as 93% of the industry average salary. To calculate Firm A's average salary, we can multiply the industry average salary by 93%:

Firm A's Average Salary = 93% of Industry Average Salary

= 0.93 * $55,680

= $51,718.40

c. To express Firm B's average salary as a percentage of Firm A's average salary, we can divide Firm B's average salary by Firm A's average salary and multiply by 100:

Percentage = (Firm B's Average Salary / Firm A's Average Salary) * 100

= ($58,000 / $51,718.40) * 100

≈ 112.27%

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Answer:

14/15

Step-by-step explanation:

1 1/14

=> 14 x 1 + 1/14

=> 15/14

Reciprocal = Opposite

=> 15/14 reciprocal = 14/15

Answer:

A. 648

Step-by-step explanation:

The special shape has a length of 2.02 m (202 cm) and width of 1.22 m (122 cm).

Given a tile of 2 cm × 2 cm, and that a double row of tiles make a border.

For a single row border,  

the number of tiles required for its length = 202 /2 = 101

the number of tiles required for its width = 122/2 = 61

For a single row border, the total number of tiles for the perimeter of the special shape = 2 (101 + 61)

                       = 324

The number of tiles for a single row border is 324.

The number of tiles required to make the double row of tiles border = 2 (324)

                            = 648

The number of tiles required to make the border is at least 648.