Round 15500 to the nearesthundred

Answer:

There were total 2900 seats in the theater.

Step-by-step explanation:

Given that:

Seats filled by students = 1247 seats

Vacant seats = 57%

Total percentage of seats = 100%

Percentage of seats filled by students = (100-57)%

Percentage of seats filled by students = 43%

Let,

x be the total number of seats.

43% of x = 1247

[tex]\frac{43}{100}x=1247\\0.43x=1247[/tex]

Dividing both sides by 0.43

[tex]\frac{0.43x}{0.43}=\frac{1247}{0.43}\\x=2900[/tex]

Hence,

There were total 2900 seats in the theater.

Answer:

[tex]y = 164[/tex]

Step-by-step explanation:

Given

[tex]y = 8x + 4[/tex]

Where

[tex]x = number\ of\ comic\ books[/tex]

[tex]y = total\ cost[/tex]

Required

Find y when x = 20

To do this, we simply substitute 20 for x in [tex]y = 8x + 4[/tex]

[tex]y = 8*20 + 4[/tex]

[tex]y = 160 + 4[/tex]

[tex]y = 164[/tex]

Hence, 20 comic books cost 164

Answer:

1 gram

Step-by-step explanation:

Rounded, it is one gram or one whole, you round the whole number.

Answer:

∠2=37°

Step-by-step explanation:

Given:

∠1=4x°

∠2=∠4 (Vertical Angle Theorem)

∠3=90°

∠4=(3x+1)°

∠4=∠2 (Vertical Angle Theorem)

∠1+∠2+∠3=180° (We use this equation in the next step)

∠1+∠3+∠4=180°

Thus, ∠2=(3x+1)°, making:

(4x)°+(3x+1)°+90°=180°

7x+91=180

7x=89

x=12

This means:

∠1=4x=4(12)=48°

∠2=3x+1=3(12)+1=37°

∠3=90°

∠4=3x+1=3(12)+1=37°

Answer:

C. y - 3 = -2(x - 4)

Step-by-step explanation:

The equation of the line can be written in point-slope form as y - b = m(x - a),

Where,

m = slope

(a, b) = coordinates of a point on the line.

Find slope (m) using the points (4, 3) and (5, 1)

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 3}{5 - 4} = \frac{-2}{1} = -2 [/tex]

m = -2.

Substitute a = 4, b = 3, and m = -2, into y - b = m(x - a), the equation that best fits the graph would be:

✔️y - 3 = -2(x - 4)

Answer:

1/6, 2/3, 15/18

Step-by-step explanation:

get a common denominator

2/3 times 6

15/18 times 1

1/6 times 3

new fractions : 12/18, 15/18, 3/18

so it would be 3/18, 12/18, 15/18

then just revert it back to the original fraction and you have your answer

Answer:

There is significant evidence at 0.05

Step-by-step explanation:

Given that:

After performing hypothesis., with confidence level being α = 0.05 ; The researcher decides to reject the Null. The conclusion will be ;

There is significant evidence to reject the Null at confidence level of 0.05

Answer:

find the slope? the slope is the number attached to the x so itd be 6

Answer:

slope- 6

Step-by-step explanation:

y=mx+b

y= outcome of the equation being done to x

m=slope

b=starting point on the you axis

x=the plug in on the x axis

y=6x+5. example: x=1

y=6 (1)+5

y=11

slope=6

Answer:

81

Step-by-step explanation:

9 × -9 = -81

-81 × -1 = 81

Answer:

81

Step-by-step explanation:

9*-9=- 81

-81*-1= 81

Answer:

9

Step-by-step explanation:

36 ÷ 4 = 9

36 ÷ 9 = 4

Answer:

9

Step-by-step explanation:

Answer:

0.05 or 5/100

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Significant figures are whole numbers, without any decimals, the four numbers are therefore significant.

Answer:

Given - Two angles measures 2x and 3x

To find - size of 3x

Solution -

2x + 3x = 360° ( Make reflex angle )

5x = 360°

x = 360/5

x = 72°

3x = 3 * 72 = 216°

Answer:

Answer:

6 days

210 pages

Step-by-step explanation:

As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.

Now since he reads 35 pages per day.

Then mathematically;

y = 35x

For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)

To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that

Also; y = 30(x + 1)

Equating the two situations

35x = 30(x + 1)

35x = 30x + 30

35x -30x = 30

5x = 30

x = 30/5

x = 6 days

This means that it will take Amir 6 days to catch Jese.

The number of books they would have read by then is y = 35x = 30(x + 1)

= 35 * 6 or 30(6+1)

= 210

Step-by-step explanation:

Answer: dude above me copied

Step-by-step explanation:

1. y = 35x

2. y = 30x + 1

3. y = 35x

   y = 30 x + 1

4. Its more convenient to substitute y because It's easier.

    35x = 30(x + 1)

5.  35x = 30x + 1

    35x = 30x + 30

    35x -30x = 30

    5x = 30

    x = 6    (30/5 = 6)

    35 x 6 = 210 (y)

6. Both people have read 210 pages and it takes amir 6 days to catch up.

Answer:

imm a bit sorry I could only answer the international one as the national is equal to international place value system

Step-by-step explanation:

eight hundred ninety three thousand four hundred fifty one

hth tth th h t o

8 9 3 4 5 1

I hope you understand

Answer:

FIFTY - FIVE THOUSAND FIVE HUNDRED AND FIFTY-FIVE

Step-by-step explanation:

Answer:

82.88%

Step-by-step explanation:

Given that:

Mean (μ) = 16.7 pounds

Standard deviation (σ) = 3.8 pounds

Number of pounds eaten = 11.5 = x

P(11.5 ≥ x ≤11.5)

P(x ≤ 11.5) :

Zscore = (x - μ) / σ

Zscore = (11.5 - 16.7) / 3.8

Zscore = - 5. 2 / 3.8

Zscore = −1.368421

P(Z ≤ - 1.3684) = 0.085593 (Z probability calculator)

P(x ≥ 11.5) ;

Zscore = (x - μ) / σ

Zscore = (11.5 - 16.7) / 3.8

Zscore = - 5. 2 / 3.8

Zscore = −1.368421

P(Z ≥ - 1.3684) = 0.91441 (Z probability calculator)

P(Z ≥ - 1.3684) - P(Z ≤ - 1.3684)

0.91441 - 0.085593 = 0.828817

0.828817 * 100% = 82.88%

Answer:

Each of the twin beds: 5 decorative pillows

Each of the queen beds: 11 decorative pillows

Step-by-step explanation:

Let the number of pillows used for each twin bed be x

Let the number of pillows used for each queen bed be y

she decorated 1 twin bed and 2 queen beds and used a total of 27 pillows. Thus;

x + 2y = 27 - - - (eq 1)

Also, she used

37 pillows to spruce up 3 twin beds and 2 queen beds. Thus;

3x + 2y = 37 - - - (eq 2)

From eq 1, x = 27 - 2y

Thus;

3(27 - 2y) + 2y = 37

81 - 6y + 2y = 37

81 - 4y = 37

4y = 81 - 37

4y = 44

y = 44/4

y = 11

x = 27 - 2(11)

x = 27 - 22

x = 5

Thus, she used 5 decorative pillows for each of the twin beds and 11 decorative pillows for each of the queen bed

Answer: The rectangular lot is 12x8 meters

Step-by-step explanation: Perimeter of a geometric figure is the sum of all its sides.

A rectangle is a quadrilateral that has opposite sides parallel and equal, which means, and suppose l is length and w is width:

P = 2l + 2w

The perimeter of the lot is 40m, thus:

2l + 2w = 40

Area of a rectangle is calculated as:

A = length x width

The lot has area of 96, thus:

lw = 96

Solving the system of equations:

2l + 2w = 40 (1)

lw = 96 (2)

Isolate l from (1):

2l = 40 - 2w

l = 20 - w (3)

Substitute (3) in (2):

w(20-w) = 96

[tex]-w^{2}+20w=96[/tex]

[tex]-w^{2}+20w-96=0[/tex]

There are many methods to determine the roots of a quadratic equation. One of them is using the sum and product of those roots.

[tex]sum = \frac{-b}{a}[/tex]

[tex]sum=\frac{-20}{-1}[/tex]

sum = 20

[tex]prod=\frac{c}{a}[/tex]

[tex]prod=\frac{-96}{-1}[/tex]

prod = 96

The roots of the quadratic equation are numbers which the sum results in 20 and product is 96:

w₁ = 12

w₂ = 8

If we substitute w to find l, the numbers will be l₁ = 8 and l₂ = 12.

Since length is bigger than width, the rectangular lot Mang Jose has to plant mushrooms measures 12m in length and 8m  in width

Answer:

60,000

Step-by-step explanation:

Jane-2000

Peter-ratio of 5=25000

Marta-ratio of 7=35000

25000+35000

60000

Answer:

$6,000

Step-by-step explanation:

If [tex]y[/tex] is the amount of money a child receives, and [tex]x[/tex] is the total amount being divided among the children, then

Jane's share:  [tex]y = \frac{4}{4+5+7} * x = \frac{4}{16}x[/tex]

Peter's share:  [tex]y = \frac{5}{4+5+7} * x = \frac{5}{16}x[/tex]

Martha's share:  [tex]y = \frac{7}{4+5+7} * x = \frac{7}{16}x[/tex]

We know Jane got $2000, so we can use that to solve for [tex]x[/tex]:

[tex]\frac{4}{16} x = 2000[/tex]

[tex]x = \frac{16}{4} * 2000 = 8000[/tex]

Plug this x value in to find how much Peter and Martha received:

[tex]\frac{5}{16} * 8000 + \frac{7}{16} * 8000 = $6000[/tex]

Answer: 475

sorry i solved it wrong the first time

Answer:

a₈₀ = 475

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

7 - 1 = 13 - 7 = 19 - 13 = 6

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 6 , thus

a₈₀ = 1 + (79 × 6) = 1 + 474 = 475

Answer:

Answer:

55

Step-by-step explanation:

180 - 82 - 43 = 55

I think this is right! I hope you have a good day and stay safe!

Answer:

Infinitely many solutions

Step-by-step explanation:

Solve: 4(x-1)-x=3(x+5)-11

First distribute.

4x-4-x=3x+15-11

Comvine like terms.

3x=4=3x-4

Infinitely many solutions.

Hope this helps plz hit the crown :D

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.

The range is the difference between the largest and smallest numbers. The mid range is the average of the largest and smallest number.

Hope this helps!

Answer:

7

down

3x-6

Step-by-step explanation:

g(x)=3x-6

f(x)=3x+1

Thus, g(x) is just f(x)-7