Under his cell phone plan, Santiago pays a flat cost of $52 per month and $4 per gigabyte. He wants to keep his bill under $60 per month. Write and solve an inequality which can be used to determine a, the number of gigabytes Santiago can use while staying within his budget.​

s = 55.3 in this situation means the annual sales that can be written in millions like 55.3 million sales in 2008.

Mean:

Mean is the fraction of the sum of the observed data by the total number of sample data.

That is,

Mean = Sum of all observations / number of observations

Given,

Let s be the annual sales (in millions) for a particular electronic item.

The value of s is 55.3 for 2008.

Here we need to find what does s = 55.3 mean in this situation.

According to the question,

s represents the annual sales (in millions) for a particular electronic item.

So,

s = 55.3

means the the annual sales (in millions) for a particular electronic item.

Like 55.3 millions of particular electronic item sold in 2008.

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Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Answer:

hold on might have to ask my teacher

Step-by-step explanation:

Answer: $12

Step-by-step explanation: Since all the tickets cost the same amount, then 180 which is the dividend means the total amount of money needed by the sixth grade science club

15 is the divisor and it represents the total number of tickets needed

The quotient is $12

So the cost of one ticket is $12.

The amount of money that you will have in eight years from today is $29,315.79 (rounded to 2 decimal places).

To find out the amount of money that you will have in eight years, you need to use the future value formula, which is:FV = PV × (1 + r)n

Where, FV = future value

PV = present value (initial investment) r = annual interest rate (as a decimal) n = number of years

First, you need to find the future value of the gift amount of $17,000 in two years.

Since it's a gift and not an investment, we can assume an interest rate of 0%.

Therefore, the future value would simply be:

PV = $17,000r = 0%n = 2 years

FV = $17,000 × (1 + 0%)2FV = $17,000

Now, you will loan that amount at 9.75% interest for six more years.

So, you need to find the future value of $17,000 after 6 years at an annual interest rate of 9.75%.

PV = $17,000

r = 9.75%

n = 6 years

FV = $17,000 × (1 + 9.75%)6

FV = $29,315.79

Therefore, the amount of money that you will have in eight years from today is $29,315.79 (rounded to 2 decimal places).

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Answer:

15.4 is the range.

Step-by-step explanation:

The value of x and y from the simultaneous equation; 3x + 2y = 19, 4x - y = 29 is 7 and -1 respectively.

3x + 2y = 19 (1)

4x - y = 29 (2)

Multiply (2) by 2

8x - 2y = 58 (3)

Add (1) and (3)

3x + 2y = 19 (1)

8x - 2y = 58 (3)

11x = 77

x = 77/11

x = 7

4x - y = 29 (2)

4(7) - y = 29

28 - y = 29

subtract 28 from both sides

-y = 29 - 28

-y = 1

y = -1

Therefore, the solution to the equation is (x, y) = (7, -1)

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overflow in two's complement arithmetic causes the wrap-around of the most significant bit, resulting in the representation of positive numbers as negative numbers.

In two's complement representation, numbers are represented using a fixed number of bits. The most significant bit (MSB) is reserved to indicate the sign of the number, where 0 represents a positive number and 1 represents a negative number.

Overflow occurs in two's complement arithmetic when the result of an operation exceeds the range that can be represented with the available number of bits.

When overflow occurs, the result is truncated or wrapped around to fit within the bit representation. This wrapping around effectively causes the MSB to flip its value, changing the sign of the number. As a result, the number that was intended to be positive becomes negative in the two's complement representation.

For example, consider an 8-bit two's complement representation. The range for a signed 8-bit number is -128 to +127. If we add 1 to the maximum positive value of 127, overflow occurs because the result exceeds the range. The binary representation of 127 is 01111111, and adding 1 results in 10000000. Since the MSB changed from 0 to 1, the number is interpreted as -128 in two's complement representation.

In summary, overflow in two's complement arithmetic causes the wrap-around of the most significant bit, resulting in the representation of positive numbers as negative numbers.

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The calculated expectation of X is 0.1

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

P{X = -1}=0.2, P{X = 0} = 0.5, P{X = 1}=0.3

The expectation of X is calculated as

E(x) = ∑xp(x)

So, we have

E(x) = -1 * 0.2 + 0 * 0.5 + 1 * 0.3

Evaluate

E(x) = 0.1

Hence, the expectation of X is 0.1

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Answer:

60 and 70°

Step-by-step explanation:

the angle sum of a quadrilateral is 360

200°+30°+6x+7x=360°

13x=130°

x=10°

1st angle: 10°×6=60°

2nd angle: 10°×7=70°

The missing side of the right triangle is as follows:

a = 22.7 units

b = 10.6 units

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The sides a and b can be found using trigonometric ratios as follows:

Hence,

sin 25 = opposite / hypotenuse

sin 25° = b / 25

cross multiply

b = 25 sin 25

b = 25 × 0.42261826174

b = 10.5654565435

b = 10.6 units

cos 25 = adjacent / hypotenuse

cos 25 = a / 25

cross multiply

a = 25 cos 25

a = 22.6576946759

a = 22.7 units

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Answer:

Liam earns $9.375 per hour

Step-by-step explanation:

The given information is

We need to find his hourly wages when his benefits package is included

Assume that he earns 100% per hour

∵ He earns 100% per hour

∵ His benefits package is 25% of his hourly wages

→ Add 25% to 100% to find his total hourly wages

∴ He will earn = 100% + 25% = 125% of his hourly wage

→ Find the value of 125% of his hourly earn

∵ 125% of 7.50 = \(\frac{125}{100}\) × 7.50 = 9.375

∴ His hourly earns = $9.375

Liam earns $9.375 per hour

The dimensions for a box that will minimize the cost of the materials used to construct box length is 8.794 and height is 825.

Given:

In the question:

Rectangular box with a square base that must hold a volume of exactly 425 cm3.

The material for the base of the box costs 5 cents/cm2

and, the material for the sides of the box costs 5 cents/cm2.

To find the dimensions for a box that will minimize the cost of the materials used to construct box.

Now, According to the question:

Volume of box is 425 cm^3

V = 425\(cm^3\)

Let the dimension of base is L x L and height of box be h

V = \(L^2\) x h

Cost of base \(c_1\) =  \(L^2\) x 5 = 5\(L^2\)

Cost of sides \(c_2\) = (4Lh) x 4

\(c_2\) = 16Lh

Total Cost of the material is  = \(c_1+c_2\)

C =  5\(L^2\)  + 16Lh

C = 5\(L^2\) + 16L x 425/\(L^2\)

C = 5\(L^2\) + \(\frac{16 (425)}{L}\)

Differentiate C w.r.t L to get maximum/minimum Value

dC/dL = 10L -  \(\frac{16 (425)}{L^2}\)

L = 8.794

V = \(L^2\) x h

425 = (8.794)^2 x h

So,

h = 825

Hence, The dimensions for a box that will minimize the cost of the materials used to construct box length is 8.794 and height is 825.

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Answer: X= 5/9

Step-by-step explanation: divide both sides by 3/5. 1/3 divided 3/5= 5/9

Answer:

5/9

Step-by-step explanation:

1/3 x 5/3 = 5/9

Answer:

(-4 , 6)

Step-by-step explanation:

rotated 90-degrees counter-clockwise about the origin: (x,y) -> (-y,x)

The new coordinate of point A will be A'(-4,6) after a 90° counterclockwise rotation.

A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).

As per the given point A(6,4).

If we rotate it anti-clockwise by 90° rotation then the coordinates will interchange and the coordinates go to the second quadrant.

Since in the second quadrant, the x-coordinate is negative thus the new coordinate will be A'(-4,6) as shown.

Hence "The new coordinate of point A will be A'(-4,6) after 90° counterclockwise rotation".

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The probability of randomly choosing the correct pair from a multiple-choice question with 5 options, where 2 options are correct, is 0.1 or 10%.

In a multiple-choice question with 5 answer options, where two options are correct, we need to determine the probability of randomly selecting the correct pair.

To calculate this probability, we first consider the number of correct pairs. Since there are two correct options, there is only one possible correct pair (selecting both correct options together).

Next, we need to find the total number of possible pairs. Using the combination formula (nCr), we calculate the number of ways to select 2 options out of the 5 available. In this case, C(5,2) = 10, meaning there are 10 possible pairs.

Therefore, the probability of randomly choosing the correct pair is given by 1 (the number of correct pairs) divided by 10 (the total number of possible pairs). This simplifies to 1/10 or 0.1, which represents a probability of 10%.

In summary, when randomly choosing a pair of options in this multiple-choice question, there is a 10% chance of selecting the correct pair.

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Sean must read at least 66 more pages to reach his goal of reading at least 80 pages by the end of the week.

Let's say the number of pages Sean needs to read is x.

he has already read 14 pages and wants to read at least 80 pages by the end of the week.

We can write this as an inequality:

x + 14 ≥ 80

To solve this inequality, we need to isolate x.

First, we subtract 14 from both sides of the inequality:

x + 14 - 14 ≥ 80 - 14

This simplifies to:

x ≥ 66

So, Sean must read at least 66 more pages to reach his goal of reading at least 80 pages by the end of the week.
Sean must read at least 66 more pages to reach his goal of reading at least 80 pages by the end of the week.

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The variable that is held constant in the experiment is the volume of distilled water used to dissolve each compound.

In this experiment, the student is investigating the conductivity of compounds A, B, and C. To ensure a fair comparison and isolate the effects of the compounds themselves, it is important to keep certain variables constant. The variable held constant in this experiment is the volume of distilled water used to dissolve each compound. By using the same volume (1000 mL) for all three compounds, the student ensures that any differences observed in conductivity can be attributed to the properties of the compounds rather than variations in the amount of solvent. This helps in obtaining reliable and accurate results. By controlling this variable, the student can effectively compare the conductivity of the different compounds and draw conclusions about their conductive properties.

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Answer:

x = -8 + sqrt(10) and x = -8 - sqrt(10)

Step-by-step explanation:

The quadratic equation to be solved is:

2(x + 8)² + 9 = 29

First, we need to simplify the left-hand side of the equation by expanding the squared term:

2(x + 8)(x + 8) + 9 = 29

Simplifying further, we get:

2(x² + 16x + 64) + 9 = 29

Distributing the 2, we get:

2x² + 32x + 128 + 9 = 29

Combining like terms, we get:

2x² + 32x + 137 = 29

Subtracting 29 from both sides, we get:

2x² + 32x + 108 = 0

Dividing both sides by 2, we get:

x² + 16x + 54 = 0

We can solve this quadratic equation by factoring or by using the quadratic formula :

The equation presented is a quadratic equation in standard form, ax² + bx + c = 0, where a = 1, b = 16, and c = 54. To solve this equation, we can use the quadratic formula, x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in the values, we get x = (-16 ± sqrt(16² - 4(1)(54))) / 2(1) = (-16 ± sqrt(16)) / 2 or (-16 ± 2sqrt(10)) / 2. Simplifying, we get x = -8 ± sqrt(10). Therefore, the two solutions to this equation are x = -8 + sqrt(10) and x = -8 - sqrt(10).

Answer:

Nelson's average speed was 8 miles per hour.

Step-by-step explanation:

To find Nelson's average speed, you need to divide the distance he traveled by the time it took him to travel that distance. In this case, Nelson traveled 20 miles in 2 1/2 hours, so his average speed was 20 miles / 2.5 hours = <<20/2.5=8>>8 miles per hour.

Answer:

8 miles per hour

Step-by-step explanation:

In order to find Nelson's average speed, we can set up a proportion. To solve for x, x being miles traveled in one hour.

\(\frac{20 miles}{2.5hours} =\frac{x miles }{1 hour}\)

x= 8

Answer:

D.27

Step-by-step explanation:

I took a picture of my work doing a explanation.

(sorry for the messy hand writing)

Answer: 60%

Step-by-step explanation:

if the coat is 25 dollars, 10% of the coat is 2.50

15 dollars /2.5=6

you saved 60 percent

complete the table above or below as appropriate of segun corresponda.

Spanish 22% English 25% Periodism 18% Physical Education 17% Biology 18%

1. Thirty-five percent of students studied science; hence, 35 (35 = thirty-and-five) = thirty-and-five.

2. One-hundred and thirty-three percent of students studied English or periodical studies — 25+18 = 43 (forty-three = one hundred and thirty-three).

3. One-sixty-five percent of students did not study science — 22+25+18 = 65 (sixty-five = one-sixty-five)

4. Eighty two percent of students did not study biology — 17 + 22 + 25 + 18 = 82 (eighty two Equals eighteen and two).

5. One-quarter and seven percent of students studied either English or Spanish — 25+22 = 47 (quarter and seven = 47).

6. One hundred and three percent of students — 17+18+18 = 53 (one hundred and thirty equals five) — did not study languages.

y tres)

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Answer:

24/30 - 6

21/30 - 3

28/32 - 4

20/25 - 5

Step-by-step explanation:

We need to find the greatest common factor (GCF) for all four of these fractions.

To find the GCF of a fraction, you must list the factors of the numerator and denominator, then determine the largest factor that both numbers have in common.

Remember, factors are numbers that we multiply together to get another number.

------------------------------------------------------

Let's find the GCF of 24/30.

First, we have to list the factors of the numerator and the denominator.

24: 1, 2, 3, 4, 6, 12, 24

30: 1, 2, 3, 5, 6, 10, 15, 30

Then, we determine the largest factor that both numbers have in common.

The largest factor that they have in common is 6. So, the GCF is 6.

------------------------------------------------------

GCF of 21/30.

21: 1, 3, 7, 21

30: 1, 2, 3, 5, 6, 10, 15, 30

The largest factor that they have in common is 3. So, the GCF is 3.

------------------------------------------------------

GCF of 28/32.

28: 1, 2, 4, 7, 14, 28

32: 1, 2, 4, 8, 16, 32

The largest factor that they have in common is 4. So, the GCF is 4.

------------------------------------------------------

GCF of 20/25.

20: 1, 2, 4, 5, 10, 20

25: 1, 5, 25

The largest factor that they have in common is 5. So, the GCF is 5.

Answer:

m = -1

Step-by-step explanation:

9m + 13 = 4

9m + 13 - 13 = 4 - 13

9m = -9

(9m)/9 = -9/9

m = -1