What is the area of the rectangle?

50 units^2

54 units^2

60 units^2

65 units^2

Answer: 23 minutes

Step-by-step explanation:

4x + 8 = 100

100 is 8 more than 4 times of minutes than last week.

X = minuted she studied last week.

Find x

4x = 100 - 8

4x = 92

x = 92/4

x = 23 minutes

Based on the problem, we form an equation 4x + 8 = 100 to represent the given situation. After solving this equation, we find that Jamyra spent 23 minutes studying last week.

The question is asking about the amount of time that Jamyra spent studying last week based on the information provided about this week. It's given that Jamyra spent 100 minutes studying this week and that this total was 8 more than four times the amount of minutes she studied last week.

We can form an equation from this information: 4x + 8 = 100, where 'x' is the time Jamyra spent studying last week. Subtract 8 from both sides to get 4x = 92.

Then, divide both sides of the equation by 4 to isolate 'x', and we get x = 23.

So, Jamyra spent 23 minutes studying last week.

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Answer:

y = 3x - 7

Step-by-step explanation:

The point-slope formula for a straight line is

y – y₁ = m(x – x₁)

x₁ = 4; y₁ = 5; m = 3     Substitute the values

y – 5 = 3(x - 4)             Remove parentheses

y – 5 = 3x - 12             Add 5 to each side

     y = 3x - 7

The graph is a straight line with a y-intercept at y = -7 and a slope = 12/4 = 3.

Answer: William is 7 years old

Hope this helps, I can take the time to explain if needed:)

By creating a system of equations from the information given and solving for William's age, we determine that William is 7 years old.

The question presents a typical age-related algebra problem. We have three unknowns: William's age, his father's age, and his sister Mary's age. To solve this problem, we need to set up a system of equations based on the information provided.

Let's let W stand for William's age, F for his father's age, and M for Mary's age.

The first piece of information tells us that William is 1/6 as old as his father, so F = 6W.

The second piece says that William is 5 years older than his sister Mary, so W = M + 5.

Lastly, we know that the sum of all their ages is 51, so W + F + M = 51.

Now, we'll substitute F and M from the first two equations into the third equation:

W + 6W + (W - 5) = 51

This simplifies to:

8W - 5 = 51

Adding 5 to both sides gives us:

8W = 56

Dividing both sides by 8, we find:

W = 7

Therefore, William is 7 years old.

Answer:I belive the sale price is $11.65

Step-by-step explanation:

$12.00-$0.35

sorry if im wrong

Answer:

An irrational decimal is a decimal that cannot be written in fraction form

Ex: Pi or any decimal that keeps going and doesn't repeat

Step-by-step explanation:

I would give you more examples but they are all really long numbers and go on forever.

Answer:

Pi!

Step-by-step explanation:

I know it might sound silly but Pi and it's digits are part of the irrational decimal family! It's irrational because the digits of Pi seem like they never end, right? Hope this helped!

Answer:

a.-4

Step-by-step explanation:

I pictured it as a graph and since the slope is negative, the line goes down and to the right. Since the slope is -1/2, for every 2 you move horizontally, you move one vertically. You have to move two up and unless the y intercept is 0, when the line intercepts y, you have 0 as x. You move two up and 4 backwards so the x intercept is -4

Answer:

A. (-6,18)

Step-by-step explanation:

The point (2,-2) and (-4,13) on the graph

First we frame an equation of the line using two points

y = mx + b where m is the slope and b is y intercept

slope = [tex]\frac{y_2-y_2}{x_2-x_1} =\frac{13+2}{-4-2} = \frac{15}{-6} = -2.5[/tex]

m = -2.5

Lets find out b

y = mx+b

y= -2.5x + b

Plug in (2,-2) and find out b

-2 = -2.5(2) + b

-2 = -5 + b (add 5 on both sides)

b = 3

so equation of line is y = -2.5 x + 3

Now we check with each option

(-6,18)

Plug in the x  and y in our equation and check it

y = -2.5 x + 3

18 = -2.5(-6) + 3

18 = 15+3

18=18  true

So (-6,18) lies on the graph

The graph that represents Margo's coin collection is:

      Graph of line going through (1, 4) and (3, 10).

It is given that:

She was given 1 coin as a gift, and she adds 3 coins per year.

Let a_n denote the amount of Money Margo had in the end of the "nth" year.

According to the given information we have:

[tex]a_1=1+3=4[/tex]

[tex]a_2=4+3=7\\\\a_2=a_1+3[/tex]

[tex]a_3=10\\\\a_3=a_2+3\\\\\\a_3=a_1+3\times 2[/tex]

and so on.

Hence, we get:

[tex]a_n=a_1+3(n-1)[/tex]

Hence, we get a Arithmetic progression.

with first term as 4 and common difference as 3.

Hence, the graph is:

Graph of line going through (1, 4) and (3, 10).

( Since at n=1 we have: [tex]a_n=4[/tex]

and at n=3 we have: [tex]a_3=10[/tex]  )

Answer:

The ratio of dogs to cats is 3 dogs to 5 cats

Step-by-step explanation:

dogs to fish:    1:10

fish to cats :     6:1

dogs to cats:  3:5

FISH:

llllllllll (10)     llllllllll (10)     llllllllll(10)   (30 fish)

DOGS: 1 dog per 10 fish

D D D   3 dogs

CATS: 1 cat per 6 fish

C C C C C

Ratio represents partial data as some multiplies from numerator and denominator are lost due to simplification.  You can assume them to be variables.

The ratio of dogs to cats is 3:5

We actually cannot get real quantities but we can use variables to partially get the information of how much their quantities were.

I said 'partially' since we don't get real values but with variables only.

Since the ratio is a:b, thus let the cancelled multiple during simplification was x.

Then we have:

First quantity = ax

Second quantity = bx

It is given that:

Ratio of dogs to fish = 1:10

Then let number of dogs = 1x = x and number of fishes = 10x

Similarly,

Ratio of fish to cats = 6:1

Then let the multiple was y, then

Number of fishes = 6y,

Number of cats = 1y = y

But we have number of fishes = 10x and 6y both

Since number of fishes is constant, thus, they are equal. Or

[tex]10x = 6y\\\dfrac{x}{y} = \dfrac{6}{10} = \dfrac{3}{5}\\[/tex]

The ratio of dogs to cats = [tex]\dfrac{\text{Numbers of dogs}}{\text{Number of cats}} = \dfrac{x}{y} = \dfrac{3}{5}[/tex]

Thus, the ratio of dogs to cats is 3:5

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Step-by-step explanation:

Firstly, set the x value as 0:

-0 + 2y = 2

2y = 2

y = 1

So when x = 0, y = 1

Now set y to 0:

-x + 2(0) = 2

-x = 2

x = -2

So when y = 0, x = -2

Simply plot the two following points:

(0 , 1) and (-2 , 0)

And don't forget to join these two points up!

Attatched is an image of this graph.

Final answer:

The speed of the slower car is 87 km/h. This was calculated by setting up an equation with the sum of the distances traveled by both cars after 5 hours, which is 950 km, and solving for the speed of the faster car first, then finding the speed of the slower car.

Explanation:

To determine the rate of the slower car in a scenario where two cars travel toward each other from 950 kilometers apart and meet in 5 hours, we set up an equation based on the relative speeds and distances covered. Let the speed of the faster car = v km/h; therefore, the speed of the slower car would be (v - 16) km/h, since it's given that the slower car travels 16 km/h less than the faster one.

The sum of the distances traveled by both cars when they meet after 5 hours is 950 km. We can express this with the equation: 5v + 5(v - 16) = 950.

Solving for v:

Subtracting 16 km/h from the faster car's speed gives us the slower car's speed:

v - 16 km/h = 103 km/h - 16 km/h = 87 km/h.

Therefore, the rate of the slower car is 87 km/h.

Answer:

14+22=Y

Step-by-step explanation:

Since it is 22 years from now, you would add 22 to your current age, 14, to get Y, the age.

The correct equation to find your age 22 years from now, if you are currently 14, is 14 + 22 = Y. Solving the equation gives Y equals to 36.

The correct equation that can be used to solve for your age, Y, in 22 years if you are currently 14 years old then the second option i.e., equation 14 + 22 = Y is the correct answer.

This equation represents an addition where you add the number of future years (22 years) to your current age (14 years old). When you solve this equation, Y equals to 36, which would be your age 22 years from now, assuming you're currently 14 years old.

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Answer:

2.2 million tons

Step-by-step explanation:

20% of 5.5 million tons is 1.1 million tons. That is how many are mixed with other products. So that would leave you 4.4 million tons of apples.

50% of 4.4 is 2.2 so 2.2 million tons are used for apple juice.

Answer:

2.2 Million

Step-by-step explanation:

First, we wish to determine what percentage of the tons of apples are used for apple juice. After 20% is mixed with other products, 80% remains. Half of this is used for apple juice; therefore, 40% of the tons of apples is used for apple juice. To calculate 40% of 5.5 million tons, we find 10% and then multiply by four. 10% = 0.55, and 0.55* 4 = 2.2. Thus, 2.2 million tons are used for apple juice.

Answer:

Micheal owns a farm. On that farm he plants 528 oranges. After harvest, he decides to pack all of his oranges into crates to sell. If he has 24 crates, how many oranges should he pack into each crate? Will there be too many oranges in which there will be some left over?

Step-by-step explanation:

The old billionaire can distribute his nine estates among his three children in one possible way, with the conditions that each child must receive at least one estate no two children can receive the same number of estates.

This is a combinatorics problem in mathematics, specifically a variety problem. The billionaire has nine estates and three children. The conditions are that each child must receive at least one estate and no two children can receive the same number of estates.

Considering these conditions, the estates can be distributed in the following way: The first child can receive one estate, the second two, and the third child six. This is just one way to distribute the estates; there are several other combinations possible given the constraints.

To calculate the total number of possible distributions, we must consider all combinations. However, with the given constraints, there is only one possible way to distribute the estates among the three children.

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There are 18 possible ways for the billionaire to distribute his estates among his three children, ensuring that each child receives at least one estate and no two children receive the same number of estates.

To distribute the nine estates among the three children, we can use combinatorics.

Step 1: We give each child one estate each. This leaves us with six estates.

Step 2: We need to divide these six estates among the three children in such a way that no two children receive the same number of estates.

Case 1: If we distribute the six estates as 4-1-1 (four estates to one child, one estate to each of the other two children), we have 3 options to choose the child who receives four estates. Once that is chosen, there are 2 options for the child who receives one estate, and the remaining child will automatically receive one estate. So, in this case, we have 3 * 2 = 6 options.

Case 2: If we distribute the six estates as 3-2-1 (three estates to one child, two estates to another, and one estate to the remaining child), we have 3 options to choose the child who receives three estates. Once that is chosen, there are 2 options for the child who receives two estates and one option for the child who receives one estate. So, in this case, we have 3 * 2 * 1 = 6 options.

Case 3: If we distribute the six estates as 3-1-2 (similar to Case 2, but switching the number of estates for two of the children), we also have 6 options.

Therefore, the total number of possible ways to distribute the estates is 6 + 6 + 6 = 18.

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Answer: $7.50

Step-by-step explanation: 1.25(6)

Answer:

g(x) is translated 6 units down from f(x)

Step-by-step explanation:

given a function f(x) then f(x) + c represents a vertical translation

• If c > 0 then vertical translation up ↑

• If c < 0 then vertical translation down ↓

Answer:

B) 2

Step-by-step explanation:

If you start from the origin and go to point B, you went up 2, and to the left 1. Now if you go from the origin to B', you went up 4, and to the left 4. Lets compare the ratios.

2/1  and 4/2

You had to multiply the first ration by 2 to get to the second ratio.

Answer:

24

Step-by-step explanation:

Just Add 10 to both sides (The rule is that in equations, what you do to one side, must be done to the other

[tex]14=y-10\\14+10=y-10+10\\24=y[/tex]

Answer:

24

Step-by-step explanation:

14 = y - 10

Addition property of equality: You can add the same value to both sides.

14 + 10 = y - 10 + 10

Add: 24 = y

y = 24

Solution means the value of the variable.

Answer:

The snow cone in a cup will hold more.

Step-by-step explanation:

Firstly, to find the area of the cone you need to know the formula:

[tex]\frac{1}{3}\pi r^{2} h[/tex]

So simply plug the values in:

[tex]\frac{1}{3}\pi 4^{2} 13[/tex]

= 217.81 = 218cm³

To find the area of a cylinder, you need to remember the formula:

The radius is half the diameter so:

Radius = 8 ÷ 2 = 4

[tex]\pi r^{2} h[/tex]

So simply plug these values in:

[tex]\pi 4^{2} 5[/tex]

= 251.33 = 251cm³

So this means that because the snow cone in a cup is 251cm³ whereas the traditional snow cone is only 218cm³, the snow cone in a cup will hold more.

Answer:

1.Tom

2.Sally

3.Bob

4.Jills

Answer:

30 minutes

Step-by-step explanation:

She plays 1/2 of a song in 1/4 of a minute so that would be 15 minutes because if you divide 60 by 4 you would get 15. You would multiply 15 by 2 because if she plays a full song you multiply 1/2 by 2 to get a whole. So she will need 30 minutes to play a full song

Answer: 4x² + 4x - 2 - [tex]\frac{3}{2x+3}[/tex]

Step-by-step explanation:

You can use either synthetic or long division.  I am using synthetic division:

2x + 3 = 0   ⇒   x = [tex]-\frac{3}{2}[/tex]

 [tex]-\frac{3}{2}[/tex]   |    4    10    4    -6

       |    ↓    -6    -6    3

            4     4    -2   -3  ← -3 is the remainder

            ↓     ↓     ↓

           4x² +4x  -2  ← factored polynomial

The constant of variation is usually given using the letter k.

To find K you would divide Y by x, so the equation becomes k = Y/x.

First find k using the first y and x values provided:

k = 10/5 = 2

Now you know k, you can solve for y when x = 2:

using the equation k =y/x, replace k and x with the known values and solve for y:

2 = y/2

y = 2*2

y = 4

Answer: Linear equation y=2x

Step-by-step explanation:

If x=2

Then y=2(2)

y=4

A

Step-by-step explanation:the answer is you have 8 quarter and 13 dimes .

Because you have 5 more dimes than quarters which will equal 3 dollars and 30 cents

Annette has a total of 5 coins according to the total money she has.

Given that,
Annette has 5more dimes than quarters, the total amount is $3.30. How many of each coin does she have is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
let the number of dimes be x
Now a number of quarters is x - 5
Accoding to the question,

x + x - 5 = 3.30
2x = 3.30 + 5
2x = 8.30
x = 4.15
Now,
here
number of dimes has approximately = 4
number of quarters = x - 5 = 4 - 5 = -1 (value is negative which is not possible). = 0

Thus, Annette has a total of 5 coins according to the total money she has.

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The value of angle θ will be 16 degrees. Then the correct option is D.

The solution of the equation means the value of the unknown or variable.

The equation is given below.

24² + 25² – 2(24)(25) cos θ = 7²

Then the value of angle θ will be

24² + 25² – 2(24)(25) cos θ = 7²

    576 + 625 – 1200 cos θ = 49

                          1200 cos θ = 1152

                                   cos θ = 1152 / 1200

                                          θ = cos⁻¹ (1152 / 1200)

                                           θ = 16°

Then the correct option is D.

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Answer:

2, 240

Step-by-step explanation:

In the table, the values should be

Year 1   725  

Year 2   579

Year 3   696

Since Year 4 sold 112% of the previous 3 years combined, we add 725+579+696=2000. We can find 112% by writing a proportion.

[tex]\frac{112}{100} =\frac{x}{2000}[/tex]

We solve through cross multiplication of numerator and denominator of the opposite fraction.

[tex]112(2000)=100(x)\\224000=100x\\2,240=x[/tex]

Answer:

1 day   21 hours   40 minutes

Step-by-step explanation:

5 days 6 hours 20 minutes

- 3 days 8 hours 40 minutes

============================

We will need to borrow  minutes from the hours because we don't have enough.

1 hour = 60 minutes

6-1 = 5 hours

20 +60 = 80 minutes

5 days 5 hours 80 minutes

- 3 days 8 hours 40 minutes

==========================

We will need to borrow  hours from the days because we don't have enough.

1 day = 24 hours

5 -1 =4 days

5 + 24 = 29 hours

4 days 29 hours 80 minutes

- 3 days 8 hours 40 minutes

==========================

1 day   21 hours   40 minutes

Answer:

1 day 21 hours 40 minutes

Step-by-step explanation:

you have to convert the days to hours, then convert the hours to minutes then subtract

4 days 29 hours 80 minutes - 3 days 8 hours 40 minutes = 1 day 21 hours 40 minutes

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