the grand prix cinema sold 150 tickets to a movie. Some of these were child tickets and the rest were adult tickets. A child ticket costs $7.75 and an adult ticket cost $10.25. if the cinema sold $1470 worth of tickets, which system of equations would be used to determine how many adult tickets, a, and how many child tickets, c, were sold?

Answer:

12 years and 16 years

Step-by-step explanation:

their ages are in the ratio 3 : 4

let Anjali = 3x and Aditya = 4x ← present ages

In 8 years then

Anjali = 3x + 8 and Aditya = 4x + 8, hence

3x + 8 + 4x + 8 = 44 ← sum of their ages in 8 years

7x + 16 = 44 ( subtract 16 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Anjali is 3x = 3 × 4 = 12 years old and Aditya = 4x = 4 × 4 = 16 years old

Answer:

0.33 Km/Min

Step-by-step explanation:

Answer:

A: 1 Minute

Step-by-step explanation:

Buses start running at 7 and run every eight minutes. This means that:

Bus 1: 7:00 AM

Bus 2: 7:08 AM

Bus 3: 7:16 AM

Bus 4: 7:24 AM

Bus 5: 7:32 AM

Bus 6: 7:40 AM

Bus 7: 7:48 AM

Bus 8: 7:56 AM

Bus 9: 8:04 AM

Bus 10: 8:12 AM

Bus 11: 8:20 AM

The waiting time of the bus is 7 minutes,

To calculate the waiting time, we need to break down the time difference between your arrival (8:19 am) and the next bus arrival (scheduled to come every 8 minutes). Let's start by determining the time between 8:19 am and the next scheduled bus at 8:20 am. This is only 1 minute of waiting time.

However, you want to know how long you'll have to wait until the next bus after 8:20 am, which means we need to consider the remaining time until the next 8-minute interval. From 8:20 am to 8:24 am, the bus does not arrive yet, resulting in an additional 4 minutes of waiting time

=> (8:24 am - 8:20 am = 4 minutes).

Now, we have reached the second 8-minute interval from 8:24 am to 8:28 am. As you arrived at 8:19 am, you will have to wait for 5 more minutes

=> (8:28 am - 8:19 am = 7 minutes)

to catch the bus.

So, the Main Answer: c: 7 minutes.

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Answer:

Her son mowed more and 7/20 need to be mowed

Step-by-step explanation:

1/4 x 5 = 5/20 - Mrs Tran

2/5 x 4 = 8/20 - her son

20/20 - 13/20 = 7/20 needs to be finished

Answer:

Your answer is A:5

The population decreased 96.8%.

Initial value = 100,000

Final value = 3,200

The percentage decrease is

= (Final value - initial value) * 100% /initial value

= [tex]\frac{\left(3200-100000\right)}{100000}\cdot100 \%[/tex]

= −96.8%

Negative sign because of decrease.

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Final answer:

The distance between the points (–9,2) and (–4,2) is 5 units, calculated as the absolute difference between the x-coordinates since the y-coordinates are equal.

Explanation:

The distance between the points (–9,2) and (–4,2) can be found using the distance formula, which is derived from the Pythagorean theorem. For two points (x1, y1) and (x2, y2) the distance is given by √((x2 - x1)² + (y2 - y1)²). However, because the y-coordinates of the points are the same, we can simplify this to the absolute value of the difference between the x-coordinates.

In this case, the distance is |(–4) - (–9)|, which simplifies to 5 units. There's no need to calculate a square root because there is no vertical change between the points.

Answer:

Without math, how would we know how to count seconds minutes, etc.?

Math is extremely important for knowing how to do simple things like cooking, you need to know for how much time to put something in the oven or microwave or stove. Those are just the basics. There is a lot more stuff out there that math is used for.

If you want to get a job, you have to know about math. Without math, you will be unable to get a job. Every single job you can get requires math. Even working in a grocery store, you need math. Whether we like it or not, you will have to learn math or you'll end up homeless and without a job.

Answer:

A. 0

Step-by-step explanation:

23/40 is approximately 1/2.

11/30 is approximately 1/2.

Sine 1/2 - 1/2 = 0, then 23/40 - 11/30 is approximately 0.

By converting the given fractions to a common denominator and performing subtraction, the result falls closest to the benchmark of 0. Hence, the estimated sum or difference of 23/40 and 11/30 is 0.

The given problem is 23/40 - 11/30 and the student has to estimate the result using the benchmarks 0, 1/2, and 1.Steps to resolve the problem:

The benchmark that is closest to 1/4 is 0. So, the estimated sum or difference would be 0.

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Answer:

percent error = 15%

Step-by-step explanation:

The following question is missing: What is the percent error?

percent error = (measure error/ actual weight)*100

where:

measure error = incorrect weight - correct weight  = 11.5 - 10 = 1.5 pounds

percent error = (1.5/10)*100 = 15%

Answer: ₹128

Step-by-step explanation:

To work out the simple interest, you need to work out 8% of ₹20,000 for 2 years, which is 1.08 * ₹20,000 = ₹21,600 in the first year and ₹23,200 in the second year

To work out the compound interest, you need to work out 8% of the new value

1st year: ₹21,600

2nd year: 8% of ₹21,600 = ₹23,328

The difference is ₹23,328 - ₹23,200 = ₹128

The answer explains how to calculate the SUTA and FUTA amounts owed by Roger Ratkin for the first 12 weeks for his employees' wages.

State Unemployment Tax Act (SUTA) and Federal Unemployment Tax Act (FUTA)

42.9

"74% of 58" translates to ...

... 74/100 × 58 = 42.92

Rounded to the nearest tenth, this is 42.9.

_____

Comment on translation

In this context, "of" means "times." Of course, % means /100, so ...

... 74% = 74/100 = 0.74

Answer:

This is approximately 11 cars per hour

Step-by-step explanation:

We want to find the the cars per hour so we will divide cars/ hour

72 cars/6.5 hours

11.07692308 cars per hour

This is approximately 11 cars per hour

Answer:

11.08 cars per hour      Please give brainliest.

Step-by-step explanation:

72 ÷ 6.5 = 11.076  = 11.08 cars per hour

Answer:

$69.75

Step-by-step explanation:

2 jackets cost $46.50 and 5 jackets cost $116.25

The different between 5 and 2 is 3.

So the cost of 3 jackets would be  =$116.25 - $46.50

                                                        = $69.75

Answer:

c. The number of packages of corn purchased.

Step-by-step explanation:

We have been given that a store sells four 1 1/8-pound ears of corn in a package for $3.59. The expression [tex]3.59p[/tex] represents the cost of the corn for a number of packages.

Since the cost of each package of corn is $3.59 and [tex]3.59p[/tex] represents the cost of 'p' packages of the corn. So 'p' represents the number of packages of corn purchased.

Upon looking at our given choices, we can see that option C is the correct choice.

The hypothesis of the conditional statement given is a quadrilateral has 4 right angles.

This is the 'If' part of the 'If P then Q' structure of a conditional statement.

In a conditional statement in logic, the statement is usually given in the form 'If P then Q'. Here, 'P' is called the Hypothesis, and 'Q' is the Conclusion. In the statement 'If a quadrilateral has 4 right angles, then the quadrilateral is a rectangle', the Hypothesis (P) is a quadrilateral has 4 right angles. So, to answer your question, the hypothesis of this conditional statement is that a quadrilateral has 4 right angles.

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Answer:

Step-by-step explanation:

the answer is

t=5c+35

t=10c

i just did this problem and got it right.

To represent the scenario of two training programs with different costs, we can use the equations t = c + 35 and t = 5c.

In this scenario, we have two different training programs at a pet store. The first program charges a $35 membership fee and $5 for each class.

The second program does not have a membership fee, but charges $10 for each class. We want to find out for how many classes the total cost will be the same for both programs.

To create the system of equations, we can use the variable c to represent the number of classes and t to represent the total cost. The equations that represent the scenario are:

t = c + 35

t = 5c

Answer:

x = 2.696, x = -0.696

Step-by-step explanation:

We are given the following function of x and we are to find the zeros for the given quadratic function:

[tex]f(x)= 8x^2-16x-15[/tex]

To find its zeros, we will use the quadratic formula:

[tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

Substituting the values in the formula where [tex]a=8[/tex], [tex]b=-16[/tex] and [tex]c=-15[/tex].

[tex]x=\frac{-(-16)+-\sqrt{(-16)^2-4(8)(-15)} }{2(8)}[/tex]

[tex]x=\frac{16+-\sqrt{736} }{16}[/tex]

[tex]x=\frac{16+27.13}{16}[/tex] , [tex]x=\frac{16-27.13}{16}[/tex]

[tex]x = 2.696[/tex] , [tex]x=-0.696[/tex]

Therefore, the solutions are 2.696 and -0.696.

Answer: c on edge

Step-by-step explanation:

x=1-square root 23/8 and x=1+square root 7

Answer:

x < - 17 or x > 7

Step-by-step explanation:

Inequalities of the form | x | > a always have solutions of the form

x < - a or x > a

For | x + 5 | > 12, then

x + 5 < - 12 or x + 5 > 12 ( subtract 5 from both sides of the inequalities )

x < - 17 or x > 7

Answer:

  =36.36 percent

Step-by-step explanation:

First we need to determine what you saved

11-7 = 4

You saved 4 dollars

Percentage of savings = savings /original price * 100

                                      = 4/11 * 100

                                       =36.36 percent

You saved $4.00 using an RX savings card on a prescription that originally cost $11.00. To find how much you saved in percentage terms, you divide the amount saved by the original cost and multiply by 100. In this case, you saved approximately 36.36%.

You are asking about the percentage savings when using a free RX savings card. To get the savings percentage, you first need to know how much money you saved. In your case, you would have paid $11.00, but you only paid $7.00 with the RX savings card. That means you saved $11.00 - $7.00 = $4.00.

Next, to find the savings as a percentage, you divide the amount saved by the original cost, then multiply by 100 to get a percentage. Here's the calculation:

Savings Percentage = ($4.00 / $11.00) * 100

Doing the division first (4 ÷ 11 = 0.3636), then multiplying by 100, you saved approximately 36.36% with your RX savings card.

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Answer: 25

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

The rise is 1 and the run is 6

On the graph, the solution to the system of equations is the point of intersection (the point where the lines meet)

So the solution is (-4, 3)

Answer:

The solution for the system is [tex](-4,3)[/tex], that is, [tex]x=-4[/tex] and [tex]y=3[/tex].

Step-by-step explanation:

The solution of a system of equations can be find by using different methods, one of them is the graphic method, which is the one aplied to this problem.

When we use the graphic method to solve a system of equations, the interception point of both line represents the solution of such system.

Therefore, in this case, the solution for the system is [tex](-4,3)[/tex], that is, [tex]x=-4[/tex] and [tex]y=3[/tex].

Answer:

28%

Step-by-step explanation:

On Thursday night Anna had 20% of the votes, Ivan had 35% of the votes and Elena had 45% of the votes. You can take the number of total votes on Thursday equal to 100, then Anna had 20 votes, Ivan had 35 votes and Elena had 45 votes.

Let x be the number of votes added on Friday. All of them favored Elena, then Elena in total had 45+x votes and the number of all votes became 100+x. In the end Anna had 16%, then

100+x - 100%,

20 - 16%.

Write a proportion:

[tex]\dfrac{100+x}{20}=\dfrac{100}{16},\\ \\16(100+x)=2000,\\ \\1600+16x=2000,\\ \\16x=400,\\ \\x=25.[/tex]

Find the percent of the voters that chose Ivan:

125 - 100%,

35 - y%.

Write a proportion:

[tex]\dfrac{125}{35}=\dfrac{100}{y},\\ \\125y=35\cdot 100,\\ \\y=\dfrac{35\cdot 100}{125}=\dfrac{35\cdot 4}{5}=7\cdot 4=28\%.[/tex]

[tex]\frac{8x-2}{42}=\frac{63}{49}\\\frac{8x-2}{42}=\frac{9}{7}\\7(8x-2)=9\cdot42\ /:7\\8x-2=9\cdot6\\8x-2=54\\8x=54+2\\8x=56\ /:8\\x=7[/tex]

[tex]a,\ b-the\ length\ of\ sides\\\\(1)\qquad4a+4b=40\qquad\text{divide both sides by 4}\\\\a+b=10\to a=10-b\\\\(2)\qquad a^2+b^2=58\\\\\text{Substitute}\ (1)\ \text{to}\ (2):\\\\(10-b)^2+b^2=58\qquad\text{Use}\ (x-y)^2=x^2-2xy+y^2\\\\10^2-2(10)(b)+b^2+b^2=58\\\\100-20b+2b^2=58\qquad\text{subtract 58 from both sides}\\\\42-20b+2b^2=0\\\\2b^2-20b+42=0\qquad\text{divide both sides by 2}\\\\b^2-10b+21=0\\\\b^2-7b-3b+21=0\\\\b(b-7)-3(b-7)=0\\\\(b-7)(b-3)=0\iff b-7=0\ \vee\ b-3=0\\\\\boxed{b=7\ \vee\ b=3}[/tex]

[tex]\text{Put the values of b to }\ (1):\\\\for\ b=7\to a=10-7=3\\\\for\ b=3\to a=10-3=7\\\\Answer:\ \boxed{7cm\ and\ 3cm.}[/tex]

The sides of the squares will be 3 and 7.

A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.

Area of square = Side²

The perimeter of the square = 4× side

Length of diagonal of square = √(2) × side

Let's say the side of the first square is a while the second is b

Now,

the sum of the perimeter of two squares is 40cm

4a + 4b = 40

a + b = 10

Now,

The Sum of the area is 58cm²

So,

a² + b² = 58

By substituting,

a² + (10 - a)² = 58

a² - 10a + 21 = 0

a² - 7a - 3a + 21 =0

a(a - 7) - 3(a - 7) = 0

(a-3)(a - 7) = 0

a = 3 ,7

Corresponding to 3 and 7

b = 10 - 3 = 7 and b = 10 - 7 = 3.

Hence "The sides of the squares will be 3 and 7".

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Answer:

50 mi

Step-by-step explanation:

Two hours after leaving port,

The triangle formed by their tracks and the line joining their current positions is a right-angled triangle.

According to Pythagoras,

        a² + b² = c²

   30² + 40² = c²

900 + 1600 = c²

            2500 = c²

     √(2500) = c

                    c = 50 mi

The boats will be separated by 50 mi two hours after leaving port.