On moday, 94 fourth graders go to see a show each in the theatre has all the chairs in each row before going completely filled. How many students are seated in the last row?

Answer:

the corrct answer is C

Step-by-step explanation:

got it correct

use me as a like button for this question lol

Answer:

3.25

Step-by-step explanation:

2 + d = 2 - 3 (d - 5) -2

d= -3d+15-2

4d=13

d= 13/4= 3.25

Answer:

d = 3 1/4 or 3.25

Step-by-step explanation:

2 + d = 2 - 3 (d - 5) -2

Distribute

2+d = 2 -3d+15 -2

Combine like terms

2 +d = -3d+15

Add 3d to each side

2+d+3d = 15

2+4d = 15

Subtract 2 from each side

2+4d-2 = 15-2

4d = 13

Divide by 4

4d/4 = 13/4

d = 12/4 + 1/4

d = 3 1/4

d = 3.25

Answer:

18/10=9/5

Step-by-step explanation:

Answer:

0.97

Step-by-step explanation:

Let x be the cost of apples

Let y be the cost of mangoes

3x + 6y= 9.15......equation 1

8x + 4y= 11.92........equation 2

Multiply equation 1 by 8 and equation 2 by 3

24x + 48y = 73.2

-

24x + 12y = 35.76

36y = 37.44

y = 37.44/36

y= 1.04

Substitute 1.04 for y in equation 1

3x + 6y = 9.15

3x +6(1.04)= 9.15

3x + 6.24= 9.15

3x = 9.15-6.24

3x = 2.91

x = 2.91/3

x = 0.97

Hence the price of a single apple is 0.97

Answer:

36,800

Step-by-step explanation:

If x < 5, we round down.

If x ≥ 5, we round up.

We are specifically looking at 8 and 1 in 36,815.

1 < 5, so we round down:

36,800

The values that used to create the box and whisker plot

[using these values]

Minimum value: Lower whisker: 12

Q1: 23.5

Q2 (median): 36

Q3: 46

Maximum value: Upper whisker: 56

Here, we have,

Step 1: Order the data set from smallest to largest:

12, 19, 28, 32, 34, 38, 45, 47, 50, 56

Step 2: Calculate the lower quartile (Q1), median (Q2), and upper quartile (Q3):

Q1 (25th percentile): The value that separates the lowest 25% of the data from the rest. Since we have 10 data points, the first quartile will be the average of the 2.5th and 3.5th data points. In our case, it's the average of the 2nd and 3rd data points:

Q1 = (19 + 28) / 2 = 23.5

Q2 (50th percentile or median): The value that separates the lowest 50% of the data from the rest. Since we have an even number of data points, the median will be the average of the 5th and 6th data points:

Q2 = (34 + 38) / 2 = 36

Q3 (75th percentile): The value that separates the lowest 75% of the data from the rest. Since we have 10 data points, the third quartile will be the average of the 7.5th and 8.5th data points. In our case, it's the average of the 7th and 8th data points:

Q3 = (45 + 47) / 2 = 46

Step 3: Calculate the interquartile range (IQR):

IQR = Q3 - Q1 = 46 - 23.5 = 22.5

Step 4: Determine the whiskers:

Lower whisker: The smallest value that is not smaller than Q1 - 1.5 * IQR

Upper whisker: The largest value that is not larger than Q3 + 1.5 * IQR

Lower whisker limit: 23.5 - 1.5 * 22.5 = -10

Upper whisker limit: 46 + 1.5 * 22.5 = 79.5

Our data points are all within these limits, so the lower whisker is at the smallest value, 12, and the upper whisker is at the largest value, 56.

Now, you can plot the box and whisker plot using these values:

Minimum value : Lower whisker: 12

Q1: 23.5

Q2 (median): 36

Q3: 46

Maximum value: Upper whisker: 56

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create a box and whisker plot for the following set of data

12, 19, 28, 32, 34, 38, 45, 47, 50, 56

Answer:

TA of longer piece = 2(lw) + 2(hw) + 2(lh) 2*1*1 +2*6*1 + 2*1*6 = 2 + 12 + 12 = 26 TA of shorter piece = 2(lw) + 2(hw) + 2(lh) = 2*1*1 + 2*3*1 + 2*1*3 = 14 Add the two surface areas together. 26 + 14 = 40 Subtract the area where the two pieces of wood are attached. Because that section will not be painted on either piece of wood, two times that area must be subtracted. 40 - (2*1*1) = how many square inches of purple?

Step-by-step explanation:

Answer:

As a claustrophobia, I can ????

O 35°, 35°, 20°

Answer: −8  3 /4

Step-by-step explanation: (−3  1 /2 )(2  1 /2 )

(-7/2)(5/2)

−35 /4

−8  3 /4

The factory will put 441 cans of soda in 7 cases.

If each case of soda contains 7 cans of each flavor, and the factory is putting 7 cases, we can calculate the total number of cans by multiplying the number of flavors, cans per flavor, and cases.

Given:

Number of flavors = 9

Cans per flavor = 7

Number of cases = 7

To calculate the total number of cans, we can multiply these values:

Total cans = Number of flavors × Cans per flavor × Number of cases

Total cans = 9 × 7 × 7

Total cans = 441

To arrive at this answer, we multiplied the number of flavors (9) by the number of cans per flavor (7) to get the number of cans per case (63). Then, we multiplied the cans per case (63) by the number of cases (7) to obtain the total number of cans (441).

Hence, the factory will put 441 cans of soda in 7 cases.

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Answer:

500 people took the survey.

Step-by-step explanation:

12 divided by 3 is 4 and 15 divided by 3 is 5. that means 4 of every 5 people prefer restaurants. Multiply that by 100 and you get 400 of every 500 people prefer restaurants. Hope this helps!

Explanation:

Polynomials of degree 1, aka linear polynomials, are the highest allowed for the divisor when using synthetic division. If the divisor is degree 2 and larger, then you'll need to use polynomial long division instead.

An example divisor of degree 1 is something like \(x+5\), which can be written as \(x^1+5\). That exponent of 1 determines the degree.

The approximate population 3 years after the population started being recorded is 2584 people option (C) is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×

where a is a constant and a>1

It is given that:

The population of a community is modeled by this exponential function, where x represents the number of years since the population started being recorded:

p(x) = 2,400(1.025)×

Plug x = 3 years in the above function.

P(3) = 2400(1.025)³

P(3) = 2400x1.0768

P(3) = 2584.53 ≈ 2584 people

Thus, the approximate population 3 years after the population started being recorded is 2584 people option (C) is correct.

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Answer:

Hold

Step-by-step explanation:

Answer:

80% chance of picking the purple bow

Step-by-step explanation:

1 blue bows : 4 purple bows

4/5= .80 as a percent

.80= 80%

Answer:

x = - 6

Step-by-step explanation:

x² + 12x + 36 = 0 ( subtract 36 from both sides )

x² + 12x = - 36

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(6)x + 36 = - 36 + 36

(x + 6)² = 0 ( take square root of both sides )

x + 6 = \(\sqrt{0}\) = 0 ( subtract 6 from both sides )

x = - 6

The sum that Mahesh borrowed was Rs. 22,800, the interest that Mahesh has to pay was Rs. 6,492, the interest that Rakesh has to pay was Rs. 7,550, and the percentage by which Rakesh pays more interest than Mahesh was 16.3%.

a) Sum borrowed by Mahesh

Let us suppose that the principal sum borrowed by Mahesh from the bank at 9% per annum is Rs. x.

Hence, we can write that

Simple Interest = (P × R × T )/ 100

= (x × 9 × 3)/100

= 27x/100

Therefore, the amount that Mahesh has to pay after 3 years, including the interest, is

A = P + SI

= x + 27x/100

= 127x/100

Again, Mahesh invests the same amount of Rs. x to Rakesh at 10% per annum, which is compounded annually, for three years.

Hence, the total amount after three years that Rakesh has to pay Mahesh is:

Amount after 3 years = x (1 + R/100)³

= x (1 + 10/100)³ = 1.331 x

Therefore, Mahesh made a profit of Rs. 7,550 by investing Rs. x at 10% per annum, compounded annually, for three years.

Hence, we can write that

Compound Interest = Amount - Principal

CI = 1.331x - x = 0.331x

Therefore, 0.331x = Rs. 7,550=>

x = Rs. 22,800

Thus, Mahesh borrowed Rs. 22,800 from the bank.

b) Interest that Mahesh has to pay

Interest = P × R × T/100

= Rs. 22,800 × 9 × 3/100 = Rs. 6,492

Therefore, Mahesh has to pay Rs. 6,492 as interest.

c) Interest that Rakesh has to pay

The total amount that Rakesh has to pay to Mahesh is Rs. 30,350 [= (22,800 + 7,550)].

Therefore, interest that Rakesh has to pay = Total Amount - Principal

= Rs. 30,350 - Rs. 22,800 = Rs. 7,550

Therefore, Rakesh has to pay Rs. 7,550 as interest.

d) Percentage by which Rakesh pays more interest than Mahesh

Let us calculate the percentage difference between the interest paid by Rakesh and the interest paid by Mahesh.

Thus, the percentage difference can be calculated as

% Difference = (|Interest paid by Rakesh - Interest paid by Mahesh|/ Interest paid by Mahesh) × 100

% Difference = (|7,550 - 6,492|/6,492) × 100

% Difference = 16.3%

Therefore, Rakesh pays more interest than Mahesh by 16.3%.

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Answer:

2578

Step-by-step explanation:

Answer:

2578

Step-by-step explanation:

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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The solution of the linear equation y = 8x − 2 will be (0, −2), (1, 6), and (2, 14). Then the correct option is A.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The linear function is given below.

y = 8x − 2

The value of y at x = 0, then we have

y = 8 × 0 − 2

y = −2

The value of y at x = 1, then we have

y = 8 × 1 − 2

y = 6

The value of y at x = 2, then we have

y = 8 × 2 − 2

y = 14

The solution of the linear equation y = 8x − 2 will be (0, −2), (1, 6), and (2, 14). Then the correct option is A.

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Answer:

Rebecca is 18

Step-by-step explanation:

18/6-3=0

Answer:

2x - y _> 2 = 4 / y<4 3.2

Step-by-step explanation:

A reflection over the y-axis is given by:

A translation up 4 units is given by:

The combination of the two transformations is given by:

Applying this transformation to the point A = (-2, -5), we get:

Answer: A' = (2, -1)

Answer:

3.724

Step-by-step explanation:

 3.724 =

 3  

+   0.7

+   0.02

+   0.004

3.724 =

 3 × 1  

+ 7 ×   0.1

+ 2 ×   0.01

+ 4 ×   0.001

the answer is letter C

letter C best represents a situation in which Janelle starts walking and then running.

We can know this by the slope of the lines.

Answer:

55R^3

Step-by-step explanation:

V= L X H X D

V= 4 X 5.5 X 2.5

V=55

Answer:

a < -1

Step-by-step explanation:

Okay, so we are given this equation:

t(x) = ax^5 + 2

Lets plug in -2 as x and see what happens.. t(x) can be 66..

\(a * (-2)^{5} + 2\) = 66

-32a + 2 = 66

-32a = 64

a = -2

A is less than -1,

a < -1