A theatre has 46 rows.
There are 42 seats in each row.
During a show at the theatre, there are 50 empty seats.
Work out how many people are watching the show.

Answer:

D

Step-by-step explanation:

2y=10x

Divide both sides by 2.

y=5x

Now substitute this into the second equation.

Answer:

b. [tex]x^2/64 - 5y^2/36=1[/tex]

Step-by-step explanation: a p e x

Answer:

The probability is 0.508 = 50.8%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with a mean weight of 0.8544 g and a standard deviation of 0.0525 g.

This means that [tex]\mu = 0.8544, \sigma = 0.0525[/tex]

If 1 candy is randomly​ selected, find the probability that it weighs more than 0.8535 g.

This is 1 subtracted by the pvalue of Z when X = 0.8535. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0.8535 - 0.8544}{0.0525}[/tex]

[tex]Z = -0.02[/tex]

[tex]Z = -0.02[/tex] has a pvalue of 0.492

1 - 0.492 = 0.508

The probability is 0.508 = 50.8%.

Answer:  10 feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 yard has 3 feet

1 foot has 12 inches

3 feet have 3 * 12 = 36

36 is greater than 35

1 yard is greater than 35 inches.

Answer:

-3x + 6 and -3(x - 2)

Step-by-step explanation:

Given

[tex]3x - 7 - 6x + 13[/tex]

Required

An equivalent expression

[tex]3x - 7 - 6x + 13[/tex]

Collect Like Terms

[tex]3x - 7 - 6x + 13 = 3x - 6x - 7 + 13[/tex]

[tex]3x - 7 - 6x + 13 = -3x+6[/tex]

This can be simplified further as:

[tex]3x - 7 - 6x + 13 = -3(x-2)[/tex]

Answer:

w=58.59

Step-by-step explanation:

47.25/125=w/155

155×47.25/125=155×w/155

7323.75/125=w

w=58.59

Answer:

D

Step-by-step explanation:

m angle b equals 77 now we have to find the arc of andle b.

so use the equation arc AC = 2(77)

arcAC = 154

360 - 154

=206

206/2

= 103

Answer:

$2

Step-by-step explanation:

Answer:

a = -15

Step-by-step explanation:

multiply both sides by 3, then you get a = -15

Answer:

a= -15 for the first one and b= -1 for the 2nd one

Step-by-step explanation:

Answer:

3.14159

Step-by-step explanation:

pi

Answer:

y=12x+10

Step-by-step explanation:

hope this helps sorry if I'm wrong

Answer:

2(x+1)=3(x-1). 2x+4 = $*-6. -*=-8 .... x=y x=17. 1. x x. X. = 8. X-9=-3x-5 f). 4x=4 x = 1 ... Graphing Linear Equations. Graph ... Solve the inequality and graph the solution on a number line.

Answer:

VHV

Step-by-step explanation:

wheres the question even?

Answer:

[tex] 2228 \: {ft}^{2} [/tex]

Step-by-step explanation:

Required flooring cover

= Area of the school playground

= Area of square with side 40 ft + Area of semicircle with radius (40/2) i.e. 20 ft

[tex] = {(40)}^{2} + \frac{1}{2} \times 3.14 \times {(20)}^{2} \\ \\ = 1600 + \frac{1}{2} \times 3.14 \times 400 \\ \\ = 1600 + 3.14 \times 200 \\ \\ = 1600 + 628 \\ \\ = 2228 \: {ft}^{2} [/tex]

Answer:

a I think please be right

Answer:

y = 3/4x + 6

Step-by-step explanation:

(-4,3) and (-8,0)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(0 - 3) / (-8 - (-4))

Simplify the parentheses.

= (0 - 3) / (-8 + 4)

= (-3) / (-4)

Simplify the fraction.

= -3/-4

= 3/4

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 3/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-8, 0). Plug in the x and y values into the x and y of the standard equation.

0 = 3/4(-8) + b

To find b, multiply the slope and the input of x(#)

0 = -6 + b

Now, add 6 to both sides to isolate b.

6 = b

Plug this into your standard equation.

y = 3/4x + 6

This is your equation.

Check this by plugging in the other point you have not checked yet (-4, 3).

y = 3/4x + 6

3 = 3/4(-4) + 6

3 = -3 + 6

3 = 3

Your equation is correct.

Hope this helps!

Answer:

(a) [tex]3^{2{k+1}} - 1 = 4(9k + 2)[/tex]

(b) [tex]7^{k+1} - 1 = 6(7k + 1)[/tex]

(c) [tex]11(k + 1) - 7(k + 1) = 4(k + 1)[/tex]

(d) [tex]9(k+1) - 2(k+1) = 7(k+1)[/tex]

Step-by-step explanation:

Solving (a): For integer [tex]n[/tex], 4 divides [tex]3^{2n} - 1[/tex]

The proof is as follows:

For n = k, we have:

[tex]\frac{3^{2k}- 1}{4} = k[/tex]

Multiply through by 4

[tex]3^{2k} - 1 = 4k[/tex]

[tex]9^k - 1 = 4k[/tex]

Next, prove the statement is true for [tex]n = k+1[/tex]

[tex]3^{2{k+1}} - 1[/tex]

[tex]3^{2{k+1}} - 1 = 9^{{k+1}} - 1[/tex]

[tex]3^{2{k+1}} - 1 = 9^{k} * 9^1 - 1[/tex]

[tex]3^{2{k+1}} - 1 = 9^k * 9 - 1[/tex]

Express -1 as - 9 + 8

[tex]3^{2{k+1}} - 1 = 9^k * 9 - 9 + 8[/tex]

Factorize:

[tex]3^{2{k+1}} - 1 = 9(9^k - 1) + 8[/tex]

Recall that: [tex]9^k - 1 = 4k[/tex]

So, we have:

[tex]3^{2{k+1}} - 1 = 9*4k + 8[/tex]

Factorize

[tex]3^{2{k+1}} - 1 = 4(9k + 2)[/tex]

Since the above mathematical statement is true, then the given statement has been proved

Solving (b): For integer [tex]n[/tex], 6 divides [tex]7^n - 1[/tex]

The proof is as follows:

For n = k, we have:

[tex]\frac{7^k - 1}{6} = k[/tex]

Multiply through by 6

[tex]7^k - 1 = 6k[/tex]

Next, prove the statement is true for [tex]n = k+1[/tex]

[tex]7^{k+1} - 1[/tex]

[tex]7^{k+1} - 1 = 7^k * 7^1 - 1[/tex]

[tex]7^{k+1} - 1 = 7^k * 7 - 1[/tex]

Express -1 as - 7 + 6

[tex]7^{k+1} - 1 = 7^k * 7 - 7 + 6[/tex]

Factorize:

[tex]7^{k+1} - 1 = 7(7^k - 1) + 6[/tex]

Recall that: [tex]7^k - 1 = 6k[/tex]

So, we have:

[tex]7^{k+1} - 1 = 7(6k) + 6[/tex]

Factorize

[tex]7^{k+1} - 1 = 6(7k + 1)[/tex]

Since the above mathematical statement is true, then the given statement has been proved

Solving (c): For integer [tex]n[/tex], 4 divides [tex]11n - 7n[/tex]

The proof is as follows:

For n = k, we have:

[tex]\frac{11k - 7k}{4} = k[/tex]

Multiply through by 4

[tex]11k - 7k = 4k[/tex]

Next, prove the statement is true for [tex]n = k+1[/tex]

[tex]11(k + 1) - 7(k + 1)[/tex]

[tex]11(k + 1) - 7(k + 1) = 11k + 11 - 7k - 7[/tex]

Collect Like Terms

[tex]11(k + 1) - 7(k + 1) = 11k - 7k + 11 - 7[/tex]

[tex]11(k + 1) - 7(k + 1) = 11k - 7k + 4[/tex]

Recall that: [tex]11k - 7k = 4k[/tex]

So, we have:

[tex]11(k + 1) - 7(k + 1) = 4k + 4[/tex]

Factorize

[tex]11(k + 1) - 7(k + 1) = 4(k + 1)[/tex]

Since the above mathematical statement is true, then the given statement has been proved

Solving (d): For integer [tex]n[/tex], 7 divides [tex]9n - 2n[/tex]

The proof is as follows:

For n = k, we have:

[tex]\frac{9k - 2k}{7} = k[/tex]

Multiply through by 7

[tex]9k - 2k = 7k[/tex]

Next, prove the statement is true for [tex]n = k+1[/tex]

[tex]9(k+1) - 2(k+1)[/tex]

[tex]9(k+1) - 2(k+1) = 9k+9 - 2k-2[/tex]

Collect Like Terms

[tex]9(k+1) - 2(k+1) = 9k- 2k+9 -2[/tex]

[tex]9(k+1) - 2(k+1) = 9k- 2k+7[/tex]

Recall that: [tex]9k - 2k = 7k[/tex]

So, we have:

[tex]9(k+1) - 2(k+1) = 7k+7[/tex]

Factorize

[tex]9(k+1) - 2(k+1) = 7(k+1)[/tex]

Since the above mathematical statement is true, then the given statement has been proved

Answer:

4

Step-by-step explanation:

he will have extra but its better then having nothing , and only extra by 1

Answer: 4 packs

Step-by-step explanation: Dario need to buy 4 packs and get

4 ·6=24 cups

Answer:

I don't know how to tell you the answer on this one because you need to know how tall the wall is for this one

Step-by-step explanation:

Answer:

75% hope this helps, this can be proven by using 100 as a tester

Answer:

75%

Step-by-step explanation:

(number) x 0.25 = 0.25(number)

0.25(number) = 25% (number)

(number) - 75% = 25% (number)

Answer:

9 inches long

Step-by-step explanation: So, this is an area problem. We know that this is a rectangle. This means we use the equasion lw or length times width. We are missing the length so we can divide the area by the width. This is common in problems where you must find a missing number.

Answer:

x<4

Step-by-step explanation:

Answer:

You did not even start the meeting them you want us to join . Silly

Step-by-step explanation:

6871383

how you doing?

how your day going?

Answer:

6871383

Step-by-step explanation:

why dont come until wednsday??

Answer:

56

Step-by-step explanation:

The ratio is 1:4

14 * 4 = 56

Answer: 56

Step-by-step explanation:

8 ÷ 2 = 4 (cans) - it is 1 cup.

14 × 4 = 56 (cans) - it is 14 cups.

Answer:

B

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals. For example. if the slope of a line is 2, the slope of a line perpendicular to it would be [tex]-\frac{1}{2}[/tex]. If the slope of a line [tex]-\frac{1}{3}[/tex], the slope of a line perpendicular to it would be 3.

Negative reciprocals always have a product of -1, since the numerators cancel out and one of the values is negative.

I hope this helps!