Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12. Write and solve a system of equations to represent the given scenario. Use the variables "a" for adults and "c" for children. To earn full credit, show your work using a method explained in the Orientation.

Answer:p + n = 175

1p + 5n = 475

------------------ Subtract

Step-by-step explanation:

when the piggy bank was opened, it yielded $4.75 in nickels and pennies. If there were 175 coins in all, how many were nickels and how many were pennies?

6 + (36/6)

hope it helps

Answer:

2

Step-by-step explanation:

You should substitute x = -1 to the f(x) and you will find:

\(f(-1)=\left(\frac{1}{2}\right)^{-1}=\frac{1}{2^{-1}}=2\)

So, the answer for the ? is 2.

Answer:

19/50   40%     0.37

Step-by-step explanation:

19/50 = 0.38

0.37 = 0.37

40% = 0.40

40%, 19/50, 0.37

Answer:

(x, y) --> (1/2x, 1/2y)

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The volume of the cone is approximately 211.06 cubic meters.

Why is that?

Well, the formula for the volume of a cone is:

V = (1/3)πr^2h

where:

Substituting the given values, we get:V = (1/3)π(4.5m)^2(10m)

V = (1/3)π(20.25m^2)(10m)

V = (1/3)π(202.5m^3)

V = 67.5π

Using a calculator, we get:

V ≈ 211.06 cubic meters

Therefore, the volume of the cone is approximately 211.06 cubic meters.

Solution

For this case we know that:

P= 20 in represents the perimeter

A= 24 in^2 represent the area

We also know that by definition:

P= 2W+ 2H

A= W*h

Where W= width and H= height

So we have this:

20 = 2(W+H) (1)

24= WH (2)

Solving W from the (2) equation we got:

W= 24/H

Replacing into the first equation we got:

20 = 2 (W+H)

10= W+H= 24/H + H

10 = (24+H^2)/H

10H= 24 +H^2

H^2 -10H +24=0

(H-6)(H-4)=0

Then H= 4in or H=6in

Solving for W we got:

W= 24/4 = 6in, W= 24/6=4in

Then the dimensions are:

6 in and 4 in

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

The number of words Gillan can read in 1 minute is,  165

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

Gillan read 3,135 words in 19 minutes

The number of words read each minute = w

Now, it has given,

Total words = 3135

Time taken = 19 minutes

For words per minute,

we need to take ratio of total words and total time taken,

Ratio =  Total words/Time taken

         =   3135/19

         =   165

Hence, the number of words in 1 minute is 165

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There is insufficient information so the joint probability mass function of X and Y.

given that

there are three bowls they are a red bowl , a green bowl and a blue bowl  are on the kitchen table

alan places one egg into a randomly selected bowl.

X = # of eggs placed into the red bowl

Y = # of empty bowls at the end of the experiment.

the joint probability mass function of X and Y

1. Not sufficient

R=5

let us consider when G = 2 , B = 1 => P(G) = 2/8

when G=1, B=2 => P(G) = 1/8

2. Not Sufficient

P(B) = 1/3 = x/3x

But this doesn't tell us anything about B or total because P(B) = 1/3 , but it could also be 2/6 or 3/9 so on..

So we can have different B . Thus we can have different G combinations.

Together - Not Sufficient

P(B) = x/(3x) , R = 5

P(G) = 1- P( not G )

= 1- P(R or B)

But we cannot calculate this with out knowing P(R) and P(B).

we cannot solve this problem because there is no proper information is given.

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The rule of dilation is (4x, 4y)

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

Scale factor = 4

This means that

Image = point * scale factor

So, we have

Image = (x, y) * 4

Evaluate

Image = (4x, 4y)

Here, we have

Point = (-2, 8)

Scale factor = 1/2

So, we have

Image = (-2, 8) * 1/2

Image = (-1, 4)

Here, we have

Point = (2, 3)

Transformation = reflected across the y-axis.

So, we have

Image = (-x, y)

Image = (-2, 3)

Here, we have

A (4, 3) to point A' (12, 9)

The scale factor is

Scale factor = A'/A

So, we have

Scale factor = (12, 9)/(4, 3)

Evaluate

Scale factor = 3

Hence, the scale factor is 3

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Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Answer:

True

Step-by-step explanation:

For example:

HCF of 2 and 3 is 1

Answer:

true

Also i need help with

https://brainly.com/question/24136412?answeringSource=feedPublic%2FhomePage%2F1

Answer:

13.7142857143

Step-by-step explanation:

so just 13

Hello! So...

We are given the following to solve:

Solve for x.

\(\frac{2}{3} (2x-\frac{1}{2})=13\)

_______________________________________

1. Multiply both sides by 3.

\(3\) × \(\frac{2}{3}(2x-\frac{1}{2})=13\) × \(3\)

_______________________________________

2. Simplify.

\(4x-1=39\)

_______________________________________

3. Add 1 to both sides.

\(4x-1+1=39+1\)

_______________________________________

4. Simplify.

\(4x=40\)

_______________________________________

5. Divide both sides by 4.

\(\frac{4x}{4} =\frac{40}{4}\)

_______________________________________

6. Simplify.

\(x=10\)

^Hence, our solution.

__________________________________________________

Hope this helps! If you need anything else, don't hesitate to comment below and I'll see what else I can do for you. Thanks and good luck!

Answer:

13.5

Step-by-step explanation:

14 oranges in 21 hour translates to:

3/2 oranges per hour.

So, in 9 hours thor can peel 13.5 oranges.

Answer:

6734

Step-by-step explanation:

1st month -> 486

2nd month->(1/3 x 486)+ 486

                  =648

3rd month->(1/3 x 648)+ 648

                  =864

4th month->(1/3 x 864)+ 864

                =1152

5th month ->(1/3 x 1152)+ 1152

                =1536

6th month ->(1/3 x 1536)+ 1536

                    =2048

486 + 648 + 864 + 1152 + 1536 +2048 = 6734

Based on the given options, the orientation of the graph for the expressions (x = t² + 2t; y = t +2; t ≥ -1) would be "left to right."

For the expression x = t² + 2t, as t increases from left to right, the value of x will also increase.

For the expression y = t + 2, as t increases from left to right, the value of y will also increase.

The orientation of a graph in real life can provide important information about the relationship between variables or quantities represented by the graph. It helps in understanding the direction or trend of the data and can have practical implications.

For example, in financial graphs, the orientation can indicate the direction of stock prices or market trends.

Therefore, the orientation of the graph is from left to right. See the attached.

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Answer:

8429

Step-by-step explanation:

I HOPE THIS IS THE ANSWER CAPS

Answer:

8429

Step-by-step explanation:

hope this helps! :D

The words for which the probability of selecting the letter A at random is 1/3 are:

a) CAB

b) ANT

c) ABOARD

Given data ,

Let the probability of selecting the letter A at random be P ( A ) = 1/3

Now , the number of letters in the words CAB are = 3

The number of A's in the word CAB = 1

So , the probability is P ( A ) = 1/3

Now , Now , the number of letters in the words ANT are = 3

The number of A's in the word ANT = 1

So , the probability is P ( A ) = 1/3

And , Now , the number of letters in the words ABROAD are = 6

The number of A's in the word ABROAD = 2

So , the probability is P ( A ) = 2/6 = 1/3

Hence , the probability is solved

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It took Jason half a second to reach his maximum height.

To find the time it took for Jason to reach his maximum height, we need to find the vertex of the parabolic  h(t) = 16t^2 + 16t + 480.

The vertex of a parabola with equation y = ax^2 + bx + c is given by the point (-b/2a, c - b^2/4a).

For the given function, a = 16, b = 16, and c = 480. Thus, the time it took for Jason to reach his maximum height is:

t = -b/2a = -16/(2*16) = -1/2 seconds

However, since time cannot be negative, we need to take the positive value of t, which is:

t = 1/2 second

Therefore, it took Jason half a second to reach his maximum height.

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The ball hit the ground at t = 0 or t = 8 seconds. However, we know that the ball was thrown in the air, so t = 0 is not a valid solution. Therefore, the ball hit the ground after 8 seconds.

What is the parabola?

A parabola is a U-shaped curve that is drawn for a quadratic function, f(x) = ax2 + bx + c. The graph of the parabola is downward (or opens down), when the value of a is less than 0, a < 0.

a. To find the maximum height, we need to find the vertex of the parabolic function h(t) = -t² + 8t. The vertex of a parabola of the form y = a(x - h)² + k is (h, k). In this case, a = -1, h = -b/2a = -8/(2*(-1)) = 4, and k = h(4) = -16 + 32 = 16. Therefore, the maximum height is 16 meters.

b. To find when the ball reached the maximum height, we need to find the value of t at the vertex. We already found that the x-coordinate of the vertex is t = 4, so the ball reached the maximum height after 4 seconds.

c. To find how long the ball was above 7 meters, we need to set h(t) = 7 and solve for t. -t² + 8t = 7 => -t² + 8t - 7 = 0. Using the quadratic formula, we get t = (8 ± √(8² + 4(1)(7)))/(2*(-1)) = (8 ± √72)/(-2) ≈ 0.6 seconds and t ≈ 7.4 seconds. Since the ball was above 7 meters twice, we need to subtract the first time from the second time to get the total time above 7 meters: 7.4 - 0.6 = 6.8 seconds.

d. To find when the ball hit the ground, we need to set h(t) = 0 and solve for t. -t² + 8t = 0 => t(-t + 8) = 0.

Therefore, the ball hit the ground at t = 0 or t = 8 seconds. However, we know that the ball was thrown in the air, so t = 0 is not a valid solution. Therefore, the ball hit the ground after 8 seconds.

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Answer:if you add all you get 30 my answer might not be right

Answer:

\(5x+11\)

Step-by-step explanation:

Step 1: Distribute

\(3x+6+2x+5\)

Step 2: Add like terms

\(5x+11\) < your answer

Answer:

B. 4x ≤ 320

Step-by-step explanation:

Not sure how to explain my thinking. However, 4x must be smaller than 320 because she cannot spend more than that.

Answer:

Step-by-step explanation:

b

Answer:

Step-by-step explanation:

Year 1: $850 * 0.91 = $773.50

Year 2: $773.50 * 0.91 = $704.69

Year 3: $704.69 * 0.91 = $641.95

...

Year 34: (continue the pattern)

We can continue this calculation for each year, but to save time, we can use an exponential decay formula:

Remaining Amount = Initial Amount * (1 - rate)^years

Substituting the values:

Remaining Amount = $850 * (1 - 0.09)^34

Calculating this expression:

Remaining Amount ≈ $850 * (0.91)^34 ≈ $255.88

After 34 years, approximately $255.88 will be left with Sally.