Bill had a salary of $48,000 last year. This year his salary is $49,920. What is the percent increase of Bill's salary?

The algebraic expression for the given statement is x-7.

The given statement is seven points less than yesterday’s score.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Let the score of yesterday be x.

Here, expression is x-7

Therefore, the algebraic expression for the given statement is x-7.

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Melvin's typing rate can be expressed as 4w words per minute by multiplying Justin's rate by 4.

To determine how many words Melvin can type per minute, we need to use Justin's typing rate as a reference.

For example, if Justin types 50 words per minute (w = 50), then Melvin would type 200 words per minute (4 * 50 = 200).

Answer:

the slope is 3 and the intercept is 0.

Step-by-step explanation:

Answer:

The approximate volume of the model of planet earth is [tex]113.04\ ft^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the sphere is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

we have

[tex]r=3\ ft[/tex]

substitute

[tex]V=\frac{4}{3}(3.14)(3^{3})=113.04\ ft^{3}[/tex]

The approximate volume of a spherical model of Earth with a radius of 3 ft is calculated using the formula V = (4/3)πr³, which results in a volume of 113.04 cubic feet when rounded to the nearest hundredth.

To calculate the approximate volume of a spherical model of planet Earth with a radius of 3 ft, we use the formula for the volume of a sphere, which is V = (4/3)πr³. Plugging in the values, we get V = (4/3) × 3.14 × (3 ft)³. Performing the calculation, we first cube the radius (3 ft × 3 ft × 3 ft = 27 ft³), then multiply by π (approximately 3.14), and finally multiply by 4/3. So, V = (4/3) × 3.14 × 27 ft³ = 113.04 ft³.

When we round to the nearest hundredth, the approximate volume of the model is 113.04 cubic feet.

Alright! To find the slope you must divide the y-coordinates of the points on the line by the x-coordinates of those  points .

So the slope of the linear function would be 3/2

The second question would be these one

Answer:

D

Step-by-step explanation:

i just did the test and got it right.

Brayne can purchase 5 used video games after the purchase of 3 new video games.

Let us say

Cost of each used video game = x

Cost of each new video game = y

According to question,

Yafreisy spent a total of $84 on 4 used video games and 2 new video games.

4x+ 2y = 84......(i)

Ashley spent a total of $78 on 6 used video games and 1 new video game.

6x + y = 78......(ii)

After solving pair of linear equations (i) and (ii)

An equation in the form of ax+by+c, where a,b and c are real numbers and a,b are not equal to zero, is called a linear equation in two variables.

x=9

y= 24

After purchasing 3 new video games, money left with Brayen:

120-3*24=$48

So, used video games that Brayen can buy after purchase of 3 new video games = 48/9 ≈5.4

Therefore, Brayne can purchase 5 used video games after the purchase of 3 new video games.

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Answer:  [tex]13.5\text{ m}^2[/tex]

Step-by-step explanation:

Given: Cubic bins with closed tops are used to transport melons to the farmers market.

The edge length of each bin = 1.5 m

We know that the surface area of cube is given  by :-

[tex]\text{S.A.}=6(\text{edge})^2\\\\\Rightarrow\text{S.A. of cubic bin}=6(1.5)^2\\\\\Rightarrow\text{S.A. of a cubic bin}=13.5\text{ m}^2[/tex]

Hence, the surface area of a cubic bin=[tex]13.5\text{ m}^2[/tex]

Answer:

slope

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

To find the sum of all possible values of a, we subtract 5 from both sides of the inequality a + 5 < 12 and find the maximum value of a. The sum of all possible values of a is 21.

To find the sum of all possible values of a, we need to determine the range of possible values for a. We are given that the sum of a and 5 is less than 12. This can be expressed as a + 5 < 12. To find the maximum value of a, we subtract 5 from both sides of the inequality: a < 12 - 5 = 7. Therefore, the possible values of a are all the positive integers less than 7. To find the sum of all these values, we can use the formula for the sum of consecutive positive integers: S = (n/2)(n+1), where n is the largest integer. In this case, n = 6, so the sum of all possible values of a is (6/2)(6+1) = 21.

The sum of all possible values of a is 21.

The question states that the sum of the positive integer a and 5 is less than 12. To find the sum of all possible values of a, we need to determine the range of values that satisfy this inequality. Let's set up the inequality:

a + 5 < 12

Subtract 5 from both sides:

a < 7

So, the possible values of a are all positive integers less than 7. To find the sum of all these values, we can use the formula for the sum of an arithmetic series:

Sum = (n/2)(first term + last term)

Here, the first term is 1 and the last term is 6 (since we want integers less than 7). The number of terms, n, is 6, since there are 6 possible values of a. Plugging in these values:

Sum = (6/2)(1 + 6) = 3 * 7 = 21

So, the sum of all possible values of a is 21.

To find out how many pieces of popcorn will fit in a bag with dimensions of 5 inches by 3 inches by 7 inches, divide the bag's volume by the average volume of a popcorn piece.

To calculate the volume of popcorn that fits in the bag:

Calculate the volume of the bag: 5 in x 3 in x 7 in = 105 in³.

Divide the bag's volume by the average volume of a piece of popcorn (105 in³ ÷ 1.125 in³ = 93.33 popcorn pieces).

The difference in price per 3-ounce serving package is $0.2475.

First, we need to determine the cost per 3-ounce serving for each type of turkey packaging. Since there are 16 ounces in 1 pound, a 1 1/2-pound piece of turkey is equivalent to 24 ounces.

Cost per ounce for the 1 1/2-pound turkey: $7.98 \/ 24 ounces = $0.3325 per ounce.

Cost per 3-ounce serving for the 1 1/2-pound turkey: $0.3325 x 3 = $0.9975.

The 6-ounce package costs $2.49, so:

Cost per ounce for the 6-ounce package: $2.49 \/ 6 ounces = $0.415 per ounce.

Cost per 3-ounce serving for the 6-ounce package: $0.415 x 3 = $1.245.

The difference in price per 3-ounce serving between the two types of turkey is: $1.245 - $0.9975 = $0.2475.

Final answer:

The irrational number in the given options is C: 0.12121212, as it repeats the sequence '12' infinitely without any pattern.

Explanation:

An irrational number is a number that cannot be expressed as a simple fraction (i.e. a ratio of two integers) and has an infinite number of non-repeating decimal places. Out of the given options, the number C: 0.12121212 is an irrational number because it repeats the sequence '12' infinitely without any pattern. The other options, A: 0.12, B: 0.1257486, and D: 0.111111, can all be expressed as fractions and have either a finite decimal representation or a repeating decimal pattern.