Tom can read a textbook at a speed of 35 pages per hour. If he's reading a textbook chapter that has 115 pages, how
long will it take Tom to finish his reading?

A: 3 hours and 51 minutes
B: 3 hours
C: 3 hours and 17 minutes
D: 3 hours and 34 minutes

Answer:

The answer is D. An Exponential Function.

Step-by-step explanation:

So the table is setup as;

x :   0     1      2     3      4

f(x): 3    7     29    87    199

If you plot the points on the coordinate plane, the value of x increases, and value of y increases .

It is not linear, because slope between two points is not the same, so you can rule that one out.

It´s not quadratic or cubic, because it is not intercepting the x axis.

So, it can only be D, an exponential function since we ruled out every other option.

I hope this helps :))

Answer:

B

Step-by-step explanation:

the angles all have to add up to 180 but only B doesn't add up to 180

Answer: 54

Step-by-step explanation: 54/6 = 9 - 4 =5

Answer:

54

Step-by-step explanation:

1. 54 / 6 is 9

2. 9 - 4 is 5

3. Tell this as a riddle to your friends

Answer:

Step-by-step explanation:

The coordinates for point A is (8,120)

So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros

Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.

Here,

To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:

120 + 72 + 68 = 260

The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:

0.4615 x 1600 = 738.40 euros

Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:

0.2769 x 1600 = 443.04 euros

The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:

0.2615 x 1600 = 418.56 euros

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Complete question:

The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?

Answer: D.42⁰

Ok done. Thank to me :>

The amount that Jo will have less towards next years holiday, if all other expenses, wage and bonus stay the same is $146.88.

The initial amout that Jo paid for the phone is calculated as follows;

amount per month = ($49) / (1 + ¹/₃)

amount per month = ($49) / (1.333)

amount per month = $36.76

For 1 year (12 months), = $36.76 x 12 = $441.12

$49 x 12 = $588

= $588 -  $441.12

= $146.88

Thus, the amount that Jo will have less towards next years holiday, if all other expenses, wage and bonus stay the same is $146.88.

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1617.0 , is her annual premium.

"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."

We always count the unit or amount value first and then calculate the more or less amount value.

For this reason, this procedure is called a unified procedure.

Many set values ​​are found by multiplying the set value by the number of sets.

A set value is obtained by dividing many set values ​​by the number of sets.

A = p(r)t,

where t = years that have passed,

A = amount of money after t years,

p = principal amount of money, and

r = rate of growth (interest plus 1)

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hope it helps you ♡♡

The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²

We will use the following points to find the area of the sector;

First of all, the angle that is formed in a full rotation is 2π.

The area of a circle is given by the formula; A = πr²

The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π

Thus, the area of a sector is given by the formula;

A = (θ/2π) * πr²

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9514 1404 393

Answer:

  (b)  34.5 square units

Step-by-step explanation:

A horizontal line at y=1 will cut off a triangle above the line that has a base of 6 units and a height of 3. Its area is ...

  A = 1/2bh = 1/2(6)(3) = 9 . . . square units.

__

For the remaining figure, a vertical line at x=1 will cut off a triangle to the right that has a base of 3 and a height of 4. Its area is ...

  A = 1/2(3)(4) = 6 . . . square units

__

The remaining figure is a trapezoid with bases 6 and 7 and height 3, Its area is ...

  A = 1/2(b1 +b2)h = 1/2(6 +7)(3) = 19.5 . . . square units

Then the total area of the figure is ...

  9 + 6 + 19.5 = 34.5 . . . square units

The Area of the shaded portion is: 72 square inches

The formula for the area of a triangle is given by the formula:

Area = ¹/₂ * base * height

Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.

Thus:

Area of larger triangle = ¹/₂ *  17 * 13 = 110.5 square inches

Area of smaller triangle =  ¹/₂ * 11 * 7 = 38.5 square inches

Thus:

Area of shaded portion = 110.5 square inches - 38.5 square inches

Area of shaded portion = 72 square inches

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Answer:  shifted left 6 units, down 4 units, and reflected over the x-axis

Step-by-step explanation:

The vertex form of a quadratic equation is:  y = a(x - h)² + k    where

Given: Vertex (h, k) = (-6, -4)

           Parabola is ∩-shaped so "a" is negative

           Next points from vertex are 1 down 1 right and 1 down 1 left --> a = -1

Input a = -1, h = -6, k = -4 into the Vertex form:

        y = -(x + 6)² - 4

a = -1: reflected over the x-axis

h = -6: shifted left 6 units

k = -4: shifted down 4 units

Answer:

It would seem that the third answer would be right but I am only 60% sure if you do not know the answer for sure, choose C but if you would rather get the 100% answer just wait

Step-by-step explanation:

The 9 adult tickets and 93 children tickets were purchased.Let's assume the number of adult tickets purchased is "a" and the number of children tickets purchased is "c."

According to the given information, children tickets cost $9 and adult tickets cost $11. So, the total cost of children tickets is 9c, and the total cost of adult tickets is 11a.

The problem also states that the total cost of all the tickets is $936. Therefore, we can write the following equation:

9c + 11a = 936

Additionally, it is mentioned that the number of children tickets purchased was three more than ten times the number of adult tickets purchased:

c = 10a + 3

We can now solve this system of equations to find the values of "a" and "c." By substituting the value of "c" from the second equation into the first equation, we have:

9(10a + 3) + 11a = 936

90a + 27 + 11a = 936

101a = 936 - 27

101a = 909

a = 909 / 101

a = 9

Substituting this value back into the second equation, we find:

c = 10(9) + 3

c = 90 + 3

c = 93.

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To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.

To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.

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Answer:

-1

Step-by-step explanation:

plug in y, subtract 12 from seven, divide -5 by 5

The values of x and y are -1 and 4 respectively.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given are a system of linear equations.

5x + 3y = 7

y = 4

We already have the value of y as 4.

Substituting that value of y = 4 in the first equation 5x + 3y = 7, we get,

5x + (3 × 4) = 7

5x + 12 = 7

Subtracting both sides by 12, we get,

5x + 12 - 12 = 7 - 12

5x = -5

Dividing both sides by 5, we get,

5x / 5 = -5 / 5

x = -1

Hence the value of x is -1 and the value of y is 4.

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The cost of each pound of grass seed is $6.

A graph of the solution for the cost of each pound of grass seed is shown below.

In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.

Let the variable x represent the cost of each pound of grass seed.

Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;

3.6x + 1.30 = 22.90

3.6x = 22.90 - 1.30

3.6x = 21.60

x = 21.60/3.6

x = $6.

In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.

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Answer:

2990 and 2980

Step-by-step explanation:

2984 rounds to 2980 so it would make sense to make it as an endpoint and 2990 the other end point since it's the next hundredth

Answer:

answer should be 13

Step-by-step explanation:

look to photo

Solution:

Step-1: Find the area of the rectangle.

L = 5/8 foot; B = 4/9 foot

Step-2: Verify all the options.

Looking at all the options, we can see that Option C (1/4 ft²) is the best estimate of the area we obtained as 10/36 and 9/36 are really close fractions.

Thus, Option C is correct.

Jim stopped reading at 8:05, after reading for 1 hour and 2 minutes when we started at 6:45.

In time problems, we need to know the relations between seconds, minutes, hours, and days.

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds.

We are informed that Jim starts reading at 6:45.

He reads for 1 hour and 20 minutes.

We add this time to the time he starts reading to find the time when Jim stops reading.

First we add hours, 6 + 1 = 7 hours.

Now we add minutes, 45 + 20 = 65 minutes. But we know 60 minutes = 1 hour, so we can say 65 minutes = 1 hour and 5 minutes.

So when we calculate the total time, we get,

Jim stopped reading at 7 + 1:05 = 8:05.

∴ Jim stopped reading at 8:05, after reading for 1 hour and 20 minutes when we started at 6:45.

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Answer:

The last answer choice

Step-by-step explanation:

Interpretation of internet users

Middle East - about 100 million

North America - about 250 million

Europe - about 500 million

Asia - over 1 billion

Now lets look back at the question.

If Africa has 170 million internet users, according to the graphs, which statement is true.

"Africa has fewer users than the middle east"

This is false as Africa has 170 million users whereas The middle east has about 100 million users

170 mil > 100 mil therefore the statement is false

"Africa has more users then Asia"

This is also false as Asia has the most internet users at 1 billion

Africa has no where near as many users at 170 million users therefore the statement is false

"Africa has more users than Europe but fewer than Asia."

We have already identified that Africa has fewer users than Europe so this one could be it if the other part is true.

"Africa has more users than Europe" This is false as Europe has 500 million internet users while Africa only has 170 million users

Therefore this statement is false

"Africa has more users than the Middle East but fewer users than North America."

Africa has more internet users than the Middle East ( 170 mil > 100 mil ) and fewer users than North America ( 250 mil > 170 mil )

therefore this is the correct statement

Answer:

the answer here is d

the answer is d

Answer:

28

Step-by-step explanation:

Total number of crayons = 32

Number of crayons lost = 4

Therefore, number of crayons she is left with is : 32 - 4 = 28

Working :  

    \(32\\04 - \\\overline{28}\)

If probability  each parent is heterozygous for both features, determine the likelihood that a child will only have cystic fibrosis or sickle-cell anaemia.

P(Sickle-cell Anemia)

= 0.25

P(Cystic Fibrosis)

= 0.25

P(Sickle-cell Anemia or Cystic Fibrosis) = P(Sickle-cell Anemia) + P(Cystic Fibrosis)

P(Sickle-cell Anemia or Cystic Fibrosis)

= 0.25 + 0.25

P(Sickle-cell Anemia or Cystic Fibrosis)

= 0.5

The likelihood that a child will have either cystic fibrosis or sickle-cell anaemia is 0.5 or 50%. This is because both parents are heterozygous for both features. This means that each parent has a 25% chance of passing on either one of the conditions to their child. The probability of having either one of the conditions is the sum of the individual probabilities, which is 0.25 + 0.25 = 0.5 or 50%.

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