Riley is saving up to buy a new television. She needs a total of $1,290.78. Riley has saved $200.73 already and earns $83.85 per
week at her job. How many weeks does Riley need to work to save enough money to buy the new television?

Answer: (3, -2.333) or (3, -7/3)

Step-by-step explanation:

We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.

[tex]5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}[/tex]

Answer:

y= -2 1/3

Step-by-step explanation:

Since you have x, you put x into the equation and work through the problem.

5(3)+3y=8

15+3y=8, then subtract 15 from both sides

3y=(-7), then divide both sides by 3

y=(-7)/3 or (-2 1/3)

The inequalities for the given word problems are:

g) p/q ≤ 6

h) 1/w ≥ 9

Inequality word problems are statements or words used to describe specific inequalities.

g) We are told that the quotient of p and q is at most 6. Thus, it is a maximum of 6. Therefore, we can write the inequality as:

p/q ≤ 6

h) We are told that the reciprocal of w is at least 9. Thus, the inequality is expressed as:

1/w ≥ 9

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Symbol notation

A negative real number is any real number that is less than zero.

A positive real number is any real number that is greater than zero.

Zero is neither positive nor negative.

(a)  The negative of z is not greater than 6

If the negative of z is not greater than 6, then it is less than or equal to 6.

-z ≤ 6.

(b)  The negative of m is not less than -6

If the negative of z is not less than -6, then it is greater than or equal to -6.

-m ≥ -6.

It should be noted that 49.87% of the values fall between 19 and 34 in the original normal distribution.

For the lower bound of 19, the z-score is:

z = (19 - 19) / 5 = 0

For the upper bound of 34, the z-score is:

z = (34 - 19) / 5 = 3

Looking up the area under the curve for a z-score of 3 in a standard normal distribution table, we find it to be 0.9987. Looking up the area under the curve for a z-score of 0, we find it to be 0.5. Therefore, the area under the curve between z-scores of 0 and 3 is:

0.9987 - 0.5 = 0.4987 = 49.87%

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Karla will have approximately $11,149 in the account after 5 years, rounded to the nearest dollar.

The formula accrued amount in a compounded interest is expressed as;

A = P( 1 + r/n )^( n × t )

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given that:

First, convert R as a percent to r as a decimal

r = R/100

r = 2.2/100

r = 0.022

Plug the given values into the above formula and solve for A.

A = P( 1 + r/n )^( n × t )

A = 10,000( 1 + 0.022/1 )^( 1 × 5 )

A = 10,000( 1 + 0.022 )^( 5 )

A = 10,000( 1.022 )^( 5 )

A = $11,149

Therefore, the accrued amount after 5 years is $11,149.

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H 48 feet could be the perimeter of Rebecca's garage door.

We know,

Perimeter is the distance around a two-dimensional shape. It is measured in units of length, such as feet or inches.

Rebecca found the length and width of the garage door, which are both measurements of length. Let's say she found that the length was 8 feet and the width was 6 feet.

To find the perimeter, she would add up the lengths of all four sides of the rectangle:

Perimeter = 2(length) + 2(width)

Perimeter = 2(8 feet) + 2(6 feet)

Perimeter = 16 feet + 12 feet

Perimeter = 28 feet

So the perimeter of Rebecca's garage door is 28 feet. None of the answer choices given match this value exactly, but H 48 feet is a possible perimeter if the garage door was much larger than the example given above. However, it is important to note that the term "cubic feet" (answer choice J) does not apply to perimeter, as cubic feet is a unit of volume and not length.

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The probability that the employee will arrive between 8:05 a.m. and 8:45 a.m. is 0.8, or 80% when expressed as a percentage.

To find the probability that the employee will arrive between 8:05 a.m. and 8:45 a.m., we need to calculate the proportion of the total possible time range between 8:00 a.m. and 8:50 a.m. that falls within the specified time interval.

The total time range between 8:00 a.m. and 8:50 a.m. is 50 minutes (8:50 - 8:00 = 50). The time interval between 8:05 a.m. and 8:45 a.m. is 40 minutes (8:45 - 8:05 = 40).

So, the probability that the employee will arrive between 8:05 a.m. and 8:45 a.m. is:

Probability = (Time interval between 8:05 a.m. and 8:45 a.m.) / (Total time range between 8:00 a.m. and 8:50 a.m.)

Probability = 40 minutes / 50 minutes

Probability = 0.8

Therefore, the probability that the employee will arrive between 8:05 a.m. and 8:45 a.m. is 0.8, or 80% when expressed as a percentage.

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Answer: angle b= 63

Ac= 23.6

Ab=26.4

Step-by-step explanation:

angle b= 63

Ac= 23.6

Ab=26.4

Angle B is 63 degrees, the length of AC is approximately 22.23 units, and the length of AB is approximately 26.42 units.

What is right angle triangle?

A triangle in which one of its angles measures 90 degrees is called a right-angled triangle .

The side opposite the right angle is called the hypotenuse while the other two sides are called the legs or the adjacent and opposite sides.

According to given figure angle C is a right angle, we know that the sum of angles A and B must be 90 degrees.

So, angle B = 90 - angle A = 90 - 27 = 63 degrees.

To find the length of AC, we can use trigonometry. Since we know the length of the opposite side (BC) and the angle opposite the side we want to find (angle A), we can use the tangent function:

tan A = opposite / adjacent

tan 27 = BC / AC

AC = BC / tan 27

AC = 12 / tan 27

AC ≈ 22.23

Now,

[tex]AB^2 = AC^2 + BC^2 \\ AB^2 = 22.23^2 + 12^2 \\ AB^2 ≈ 697.57 \\ AB ≈ 26.42[/tex]

Therefore, Angle B is 63 degrees, the length of AC is approximately 22.23 units, and the length of AB is approximately 26.42 units.

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The cube's volume can be expressed as V = s³ = x³ since the height of the cube is x and all sides have equal length. The surface area of the cube can be expressed as SA = 6s² = 6x².

b. The sphere's volume can be expressed as V = (4/3)πr³, where r is half the diameter or x/2. Therefore, V = (4/3)π(x/2)³ = (1/6)πx³.

The surface area of the sphere can be expressed as SA = 4πr² = 4π(x/2)² = πx².

c. The ratio of the cube's volume to its surface area can be expressed as V/SA = (x³)/(6x²) = x/6, with the restriction that x > 0.

d. The ratio of the sphere's volume to its surface area can be expressed as V/SA = [(1/6)πx³]/(πx²) = x/6, with the restriction that x > 0.

e. Since the ratios of the volumes to the surface areas of the containers are the same, the efficiency of the packaging will depend only on the amount of material required for each shape. The cube will require less material since it has a smaller surface area, making it the more efficient choice.

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Volume of oblique pyramid is 170ft³.

An oblique pyramid is a pyramid in which the apex is not directly above or below the center of the base. It is called "oblique" because it has a slant or tilt to its shape, as opposed to a "right" pyramid where the apex is directly above the center of the base. Oblique pyramids can have different shapes for their bases, such as a square, rectangle, triangle, or any other polygon.

Given

Base area=1/2× 12× 5

height of pyramid=17ft

Volume of oblique pyramid=Base area × height/3

=(1/2× 12× 5 ×17)/3

=170ft³

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The coordinates of point H' include the following: H' (0, -1).

In Mathematics, the translation a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate of the pre-image while the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

By translating the pre-image of this trapezoid vertically downward by 2 units and horizontally right by 3 units, the coordinates of the image include the following:

(x, y)                               →                  (x + 3, y - 2)

E(-1, 4)                        →                  (-1 + 3, 4 - 2) = E' (2, 2).

H (-3, 1)                        →                  (-3 + 3, 1 - 2) = H' (0, -1).

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Answer:5,4

Step-by-step explanation:

The probability that Ann will get the Donut Shop pod would be = 2/15

The total number of Keurig pods in the green basket = 15

The number of Donut Shop in the basket = 2

Formula for probability;

= possible outcome/sample space

where;

possible outcome = 2

sample space = 15

Probability = 2/15

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Answer:

Step-by-step explanation

The answer is 72. 2 x 36 equals 72.

Answer:

-3x - 24 < -36

-3x < -12

x > 4

Answer:

Step-by-step explanation: 462 Divided by 24 = 19.25$

Proof: 19.25 x 24 = 462

Answer: 19.25$

Answer:

y=3+2 to the power of x +1

Step-by-step explanation:

Answer:

what brand

Step-by-step explanation:

Answer:

Ok so we know it has to equal=180 right?

90+90=180

180/4

45

Using the conversion factor we know that we will spend 180.69€ on memorabilia items.

A conversion factor is a number that is used to multiply or divide one set of units into another.

If a conversion is required, it must be done using the correct conversion factor to get an identical value.

A fraction that is equal to "1" is a conversion factor.  

The numerator and denominator are the same amounts, but they are expressed in different units.  It is used to change a number's unit of measurement.  

By multiplying the initial number by the fraction that is equal to "1," you can change the units without changing the original number's value.

So, in the given situation:

$200 = euros?

We know that:
$1 = 0.90€

Then,

$200 = 180.69€

Therefore, using the conversion factor we know that we will spend 180.69€ on memorabilia items.

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The length of an American football field including end zones is 21600 inches.

To convert yards to inches, we multiply by 36, since there are 36 inches in one yard.

Therefore, a football field that is 120 yards long is equivalent to 120 x 36: = 4320 feet. To convert feet to inches, we multiply by 12, since there are 12 inches in one foot.

Therefore, a 120-yard football field is equivalent to 4320 x 12 = 51,840 inches. However, we must also take into account the two end zones, which are each 10 yards long, or 360 inches. Thus, the total length of an American football field including the end zones is 120 x 36 x 12 + 2 x 360 = 21,600 inches.

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Gold costs less than platinum per ounce because the slope of the graph for gold is less steeper than that of the chart for platinum. The slope of the graph tells you the unit rate in dollars.

In Mathematics, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

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Answer:

Vertically opposite angles are always same.

Straight angle=180°

Angle MQN=70°

A line plot for the data is shown in the image attached below.

In Mathematics and Statistics, a line plot can be defined as a type of graph that is used for the graphical representation of data set above a number line, while using crosses, dots, or any other mathematical symbol.

In this scenario and exercise, we would use an online graphing calculator to graphically represent the given data set on a line plot as shown in the image attached below.

In conclusion, we can reasonably infer and logically deduce that the mode of the data set is equal to 3.5 or 3 1/2 because it has the highest frequency of 5.

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Answer:

2) [tex](3x+2)^{2}[/tex]

3) [tex](2x+5)(2x-5)[/tex]

4) [tex](x^{2} +8)(x^{2} -8)[/tex]

Step-by-step explanation:

A method I was taught was the snowflake method whenever there were numbers in front of [tex]x^{2}[/tex] (ex [tex]4x^{2} and 9x^{2}[/tex]) picture shown below (you can search up some videos if you would like)

The snowflake method is really efficient and helps factor polynomials faster

For 3 and 4, you basically have to find the square root of the number without the [tex]x^{2}[/tex] and make sure (for example 25) one parenthesis had -5 and the other had +5. Number 4 had [tex]x^{4}[/tex], [tex]x^{2}*x^{2}[/tex] is  [tex]x^{4}[/tex] so you would include that in the equation. To double check, use foil.

Answer: 300

Step-by-step explanation:

10*8*6=480-6*6*5=180=300

The percent of the whole group are in the Navy is 27%.

Percent is a term used to express a fraction or a ratio out of 100. It is represented by the symbol "%". For example, if there are 20 red balls out of a total of 100 balls, we can say that the percentage of red balls is 20%.

To calculate the percentage, we can use the following formula:

Percentage = (Part / Whole) x 100

where "Part" is the value we want to express as a percentage, and "Whole" is the total value.

The percent of the whole group are in the Navy is:

= 135/500 × 100

= 27%.

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Answer:

27%

Step-by-step explanation:

135 of the 500 total members are in the Navy. Meaning that 135 out of 500 is 27%