Today, 198 people went to Six Flags the first hour it was open. This number was 30% of the number of people who went to the park yesterday. How many people went to the park YESTERDAY?

Let x equal the number

 Tip: Go step-by-step

4 times a number is translated to... 4x

Is equal to means =

to the number increased by 21 is... x+21

Your equation is: 4x=x+21

Subtract x from both sides

3x=21

Divide three from both sides

x=7

Check!

4(7) = 7+21

28=28!

Correct!

Have a nice day!!

Answer:

3

-1/3

Step-by-step explanation:

up 3 right 1

down 1 right 3

Answer:

Answer: Lines 1 &3 are parallel with each other and line 2 is neither

Step-by-step explanation:

After singling out y for lines 1 & 2 you see they have the same slope 5/2 x

But for the second line it intersects worth both lines but does not make a 90 degree angle

Answer:

A

Step-by-step explanation:

Answer:

2x+9=-17

Step-by-step explanation:

hopefully this helps :)

Answer: I’m not sure what the number is but it’s a negative number, probably somewhere around 26. Take 9 from it and you will get 17.

Step-by-step explanation:

Answer:

it would be the first one!

Answer:

z ≥ -10, which is the first answer.

Step-by-step explanation:

As you can see, on the graph there is a point filled in with a line pointing to the right. That would mean the sign would be ≥, as Z is GREATER than or EQUAL TO.

Answer:

\(y=\frac{1}{3}x+\frac{5}{3}\)

Step-by-step explanation:

The point-slope form of an equation for a line is  y = mx + b  (m is the slope; b is the y-intercept).

First, find the slope using the two given points.

\(m=\frac{y_2 - y_1}{x_2-x_1}=\frac{3-0}{4-(-5)}=\frac{3}{9}=\frac{1}{3}\)

At this stage, you know the slope and need to find the y-intercept.  Plug in one of the points (either one) into the equation.  Let's use (-5, 0).

\(y=\frac{1}{3}x+b\\0=\frac{1}{3}(-5)+b\\0=-\frac{5}{3}+b\\\frac{5}{3}=b\)

The equation for the line is \(y=\frac{1}{3}x+\frac{5}{3}\).

You can check for errors by putting in the point you didn't use...

Check to make sure the point (4, 3) satisfies the equation.

\(3=\frac{1}{3}(4)+\frac{5}{3}\\3=\frac{4}{3}+\frac{5}{3}\\3=\frac{9}{3}\)   True!

nswer

The side of EFGH that corresponds with CD is GH.

xplanation

One of the key points for two figures to be similar is that the angles are the same.

Since parallelograms have opposite angles equal, and adjacent angles sum up to give 180 degrees. We know that ABC

Angle = 180 - 523 = 127

And this makes the similarity makes the order of similarity here to be

BCD = EFGH

o,

dD = GH

Hope this Helps!!!

The intersection points are: (0, -3) and (10, 2)

The bounded area is -20.83 unit²

(a) The  intersection points of the line and curve are the points where the line and curve meet. Thus, the intersection points are:

(0, -3) and (10, 2)

(b) The integral terms of y which gives the area bound are:

a = -3, b = 2 (These are the y values of the intersection points)

Since we have x = y² + 3y and x = 2y + 6, we can say:

y² + 3y = 2y + 6

y² + 3y - 2y - 6 = 0

y² + y - 6 = 0

Thus, h(y) =

Using a = -3 and b = 2  with h(y) = y² + y - 6, we have the bounded area as:

\(Area = \int\limits^b_a {y} \, dy\)

\(Area = \int\limits^{2}_{-3} {(y^{2} + y - 6}) \, dy\)

Integrating the area:

Area = [y³/3 + y²/2 - 6y + C]²₋₃

Area = [2³/3 + 2²/2 - 6(2)] - [(-3)³/3 + (-3)²/2 - 6(-3)]

Area = [8/3 + 2 - 12] - [-9 + 4.5 + 18]  

Area = [-22/3] - [27/2]

Area = -125/6

Area = -20.83 unit²

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Multiplication of the given matrix is not possible by definition of matrix multiplication.

Since, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Expression for multiply,

⇒ [4, 0, -1, 2, -3, -1] x [0, 1, -3, 1]

Since, We can see that;

First matrix have order 1 x 6

And, Second matrix have order 1 x 4

We know that;

Matrix multiplication is possible when number of column in first matrix is same as number of rows in second matrix.

Hence, By given matrices we get;

Number of column in first matrix (6) ≠ number of rows in second matrix (1)

So, Multiplication of the given matrix is not possible by definition of matrix multiplication.

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Answer:

y=2x-1

Step-by-step explanation:

use slope formula

the substitute into slope intercept form

the length of the shadow is 30m

hypotenuse = 50m

height of tree = 40 m

To solve the question, we will use an illustration:

To get the length of the shadow, we will apply pythagoras' theorem:

Hypotenuse² = opposite² + adjacent²

hypotenuse = 50m, opposite = 40m

50² = 40² + shadow²

2500 = 1600 + shadow²

2500 - 1600 = shadow²

900 = shadow²

square root both sides:

Hence, the length of the shadow is 30m

Answer:

2.75 minutes

Step-by-step

divide 55 by 20

Answer:

2.75 minutes/2 minutes and 45 seconds

Step-by-step explanation:

Divide: 55 divided by 20=2.75

2.75 minutes= 2 minutes and 45 seconds

The reason why you divide 55 divided by 20 is because you are trying to find how long it took you to clear 1 street.

And there are 20 streets and each street took you 2 minutes and 45 minutes to complete 1 street.

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Answer:

Therefore, the constant of proportionality for the given proportional relationship is 5.

Step-by-step explanation:

To determine the constant of proportionality in the given proportional relationship, we can use the formula:

Constant of Proportionality = Tickets / Games

Let's plug in the values from the table:

For the first set of values (4 games and 20 tickets):

Constant of Proportionality = 20 / 4 = 5

For the second set of values (7 games and 35 tickets):

Constant of Proportionality = 35 / 7 = 5

For the third set of values (10 games and 50 tickets):

Constant of Proportionality = 50 / 10 = 5

In all three cases, the constant of proportionality is equal to 5.

Therefore, the constant of proportionality for the given proportional relationship is 5.

The total amount paid over 30 years is $2,028,000 and the company needs to deposit $921,818.18 in an account earning 4% interest annually to cover the amount paid.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

Amount paid per week = $1300

Number of years = 30 years

The total amount paid = (Amount paid per week × number of weeks)

The number of weeks in 30 years :

1 year = 52 weeks

30 years = (30× 52) = 1560 weeks

The total amount paid for 30 years :

($1300× 1560) = $2,028,000

Using the simple interest formula : A = P(1 + rt)

A = total amount earned = 2,028,000

Principal = P

Interest rate, r = 4 %

Time, t = 30 years

A = P(1 + (0.04 × 30))

2,028,000 = P(1 + 1.2)

2,028,000 = P(2.2)

2,028,000/ 2.2 = P

P = $921,818.18

Hence, the total amount paid over 30 years is $2,028,000 and the company needs to deposit $921,818.18 in an account earning 4% interest annually to cover the amount paid

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Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

n = 3

e = 5

Step-by-step explanation:

10n + 3e = 45

2n + 5e = 31

10n + 3e = 45

10n + 25e = 155

o + 22e = 110

e = 5

to fix 5 into the first equation

10n + 3(5) = 45

10n + 15 = 45

10n = 45 -15

10n = 30

n = 3

On a number line, 7.05 would be located

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

Number = 7.05

The analysis of its position s as follows:

So, the true statements are B and C.

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16.72p + 9 ≤ 133

16.2p ≤ 124

p ≤ 124 / 16.2

the teacher can order at most

7 whole pizzas

Answer:

so here we minus 5 from 255 to get to 250 and we do it again to get to 245. for reaching the 40th term we should do it 39 times.

so, 255+ (-5) (39) = 255 - 195 = 60

which is our 40th term.

The 40th term of  (255, 250, 245...) is 60.

Calculations :

The formula to find the nth term = \(a_{n}\)  =  -5n + 260

                                                      = \(a_{40}\) x 5n = 260

                                                      = 260 - 200 = 60

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The amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

Recall the compounding formula:

A = P * \(e^{rt}\)

Where:

A = Final amount in the account

P = Initial principal (deposit)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (as a decimal)

t = Time in years

Given:

Initial principal (P) = $16,000

Annual interest rate (r) = 2%  = 0.02

time (t) = 4 years.

Substitute these values into the formula, we get:

A = $16,000 * \(e^{0.02 * 4}\)

Using a calculator, we can calculate:

A = $16,000 * \(e^{0.08}\)

A = $16,000 * 1.0833

A = $17,332.8

Therefore, the amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

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5)

The two expressions are:

0.5 (0.5x + 1.5)

2 (0.5x + 1.5)

6)

The story for 8b + 4b - 2 is:

Anna bought 8 and bima bought 4 of the same items which cost $b and there was a discount of $2 together.

The equivalent expression of 8b + 4b - 2 is 12b - 2.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

5)

0.5x + 1.5

We can make an equivalent expression as,

0.25x + 0.75

Taking out a common factor.

0.5 (0.5x + 1.5)

And,

x + 3

Taking out 2 as a common factor.

2 (0.5x + 1.5)

6)

8b + 4b - 2

This can be written as a story,

Anna bought 8 and bima bought 4 of the same items which cost $b and there was a discount of $2 together.

8b + 4b - 2

= 12b - 2

Thus,

5)

0.5 (0.5x + 1.5)

2 (0.5x + 1.5)

6)

The story is given above and the equivalent expression is 12b - 2.

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Answer:

$0.75

Step-by-step explanation:

Step 1:

5 ibs for $3.75    Given

Step 2:

$3.75 ÷ 5     Divide

Answer:

$0.75

Hope This Helps :)

The purchase price of the machine was $10,000.

The reducing balance method is a method of calculating depreciation of an asset over its useful life. It is also known as the diminishing balance method or the declining balance method.

Let P be the purchase price of the machine.

After one year of depreciation, the net book value of the machine will be:

P - 0.4P = 0.6P

After two years of depreciation, the net book value of the machine will be:

0.6P - 0.4(0.6P) = 0.36P

We know that after two years, the net book value is $3,600.  

0.36P = $3,600

Solving for P, we get:

P = $3,600 / 0.36

P = $10,000

Therefore, the purchase price of the machine was $10,000.

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Simple equation when u break it down: 33 x 24=792 apartments

A building, or edifice, is an enclosed structure with a roof and walls that is standing in one location more or less permanently, such as a house or factory (although there are also portable buildings). Buildings come in a variety of sizes, shapes, and uses, and they have been modified throughout history for a wide range of reasons, including the availability of building materials, weather, land prices, ground conditions, particular uses, prestige, and aesthetic considerations.

given:

new apartments' building =33 floor

apartments on each =24 floor

33*24=792

792 apartments are in the building

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Answer:

Gross income

Step-by-step explanation:

the gross income is whatever you earn in total, so that must be it

Answer:

B = -8t + 80

Step-by-step explanation:

An equation for B, in terms of t, representing the charge remaining in Sarah's battery is B=-8t+80.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, cell phone was 80% charged and it then started to lose 8% charge for each hour thereafter.

Let the charge remaining in Sarah's battery be B and the number of hours be t.

Now, equation is B=-8t+80

Therefore, an equation for B, in terms of t, representing the charge remaining in Sarah's battery is B=-8t+80.

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