Pete worked 51 hours and 30 minutes on his new job. He makes $11.55 per/hour. For each hour of overtime, he earns time and a half. How much will he earn for one week?

Answer:

6

Step-by-step explanation:

12/2=6

The slope of the line -1/6.

The value of m = -1.

The slope of a line is a measure of its steepness. slope is calculated as "rise over run" (change in y divided by change in x).

given:

f(x) = √10-x

let f(x)=y

y = √10-x

Now,

dy/dx = -1/2(√10-x)

at x=1

dy/dx =  -1/2(√10-1)

dy/dx = -1/2(3)

dy/dx = -1/6

equation of line is

y= mx + b

y= (-1/6)x + b

6y = -x + b

So, m= -1

Learn more about slope here:

https://brainly.com/question/14548961

#SPJ1

Answer:

Step-by-step explanation:

4.5 x 3 = 13.5 mi^2

The measure of angle DCE in this problem is given as follows:

m < DCE = 22.5º.

The triangles in this problem are right triangles, meaning that the trigonometric ratios are used to find the measures.

The three trigonometric ratios are given as follows:

The segment DB is adjacent to angle of 38º, while the hypotenuse is of 12.2 cm, hence the length of segment DB is calculated as follows:

cos(38º) = DB/12.2

DB = 12.2 x cosine of 38 degrees

DB = 9.6 cm.

BE:ED = 3:1, means that segment DE is one-fourth of segment DB, and thus it's length is given as follows:

DE = 1/4 x 9.6

DE = 2.4 cm.

Then for the angle DCE, we have that the opposite side is of 2.4 cm while the adjacent side is of 5.8 cm, hence the tangent is used to find it's measure, as follows:

tan(x) = 2.4/5.8

x = arctan(2.4/5.8)

x = 22.5º

m < DCE = 22.5º.

More can be learned about trigonometric ratios at brainly.com/question/24349828

#SPJ1

Answer:

x = 22.5°

Step-by-step explanation:

In terms of part A, the solution set is a triangular region with vertices at (0,4), (2,3), and (4,0).

Part B: Yes, the point (2, 3) included in the solution area for the system.  The solution of the inequalities is (4, 0).

Part C. I choose the point (1,3) in the solution set. This implies that Michael can buy 1 cupcake and 3 pieces of fudge with $16 as well as feed at least 4 siblings.

Part A: The inequalities limit Michael's purchase of cupcakes and fudge with $16 to feed at least 4 siblings. The first one, 4x + 2y ≤ 16, restricts the total cost to be $16 or less. To graph y ≤ -2x + 8, draw the line with slope -2 and y-intercept 8, and shade below it. The inequality x + y ≥ 4 means Michael must feed at least 4 siblings. It can be graphed as y ≥ -x + 4, a line with slope -1 and y-intercept 4. To graph the inequality, draw a dashed line with slope -1 and y-intercept 4. Shade the region above the line for y ≥ -x + 4. The solution set is the intersection of the shaded regions. Triangle with vertices (0,4), (2,3), and (4,0).

Part B:

To check if (2,3) is in solution area, we test if it satisfies both inequalities. We substitute x=2, y=3 into 4x + 2y ≤ 16 and get 14. When x=2 and y=3 in x+y≥4, we get 5, which is true. However, (2, 3) is not included in the solution area because it does not satisfy 2x+y≤8.

Part C:

Let select (2,2) in the solution set. Michael can buy 2 cupcakes and 2 pieces of fudge while feeding 4 siblings within his budget. Michael can spend $8 on 2 cupcakes and $4 on 2 fudge pieces to feed his siblings. Michael can buy various combinations of cupcakes and fudge within his budget to feed at least 4 siblings.

Learn more about system of inequalities from

https://brainly.com/question/29228671

#SPJ1

See full question below

Michael has $16 and wants to buy a mixture of cupcakes and fudge to feed at least 4 siblings. Each cupcake costs $4, and each piece of fudge costs $2.

This system of inequalities models the scenario:

4x + 2y ≤ 16

x + y ≥ 4

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution set. (4 points)

Part B: Is the point (2, 3) included in the solution area for the system? Justify your answer mathematically. (3 points)

Part C: Choose a different point in the solution set and interpret what it means in terms of the real-world context. (3 points)

Answer:

Step-by-step explanation:

28.6 - 35 + 12.7 - (-5.2) = ?

28.6 - 35 + 12.7 + 5.2 = 11.5

The value of the expression 28.6 - 35 + 12.7 - (-5.2) is 11.5.

To find the value of the expression, simply follow the order of operations (PEMDAS):

28.6 - 35 + 12.7 - (-5.2)

Step 1: First, deal with the parentheses:

28.6 - 35 + 12.7 + 5.2

Step 2: Then, perform addition and subtraction from left to right:

(28.6 - 35) + 12.7 + 5.2

-6.4 + 12.7 + 5.2

Step 3: Continue with the addition and subtraction:

6.3 + 5.2

Step 4: Finally, calculate the sum:

11.5

To know more about expression:

https://brainly.com/question/32839429

#SPJ2

Answer:

The answer is 5/6.

Step-by-step explanation:

1/2=3/6, and 1/3=2/6. 2/6+3/6=5/6

The number which is closest to the addition of two fraction numbers, 1/2 + 1/3 is 0.8.

A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,

\(\dfrac{a}{b}\)

Here, (a) is the numerator and (b) is the denominator.

We have to find the addition of two fraction number 1/2 and 1/3. Suppose the value which is closest to 1/2 + 1/3 is n. Thus,

\(n=\dfrac{1}{2}+\dfrac{1}{3}\\\)

Cross multiply to find the addition of two numbers,

\(n=\dfrac{3+2}{6}\\n=\dfrac{5}{6}\\n=0.833\)

Thus, the number which is closest to the addition of two fraction numbers, 1/2 + 1/3 is 0.8.

Learn more about the fraction number here:

https://brainly.com/question/78672

#SPJ2

Answer: 22.4402

Step-by-step explanation:

Answer:

84.4% of 23 is 19.412.

Step-by-step explanation:

Let the unknown number be x.

Now, 84.4% of x = 19.412.

∴ (84.4 ÷ 100) × x = 19.412.

By simplifying the equation,

x = (19.412 × 100) ÷ 84.4

x = 1941.2 ÷ 84.4

∴ x = 23

Thus, 84.4% of 23 is 19.412.

To learn more about Percentages,

refer to the following question!

https://brainly.com/question/3079428

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

https://brainly.com/question/34063927

#SPJ11

Answer: 28

Step-by-step explanation: In this problem, we're given information about the parts of a segment and we're asked to find the value of x.

To find the value of x, we can use the segment addition postulate.

Looking at the diagram, it should make since that RS + ST = RT.

So 4x + 3x + 11 = 60 or 7x + 11 = 60.

Subtracting 11 from both sides and solving for x, we get x = 7.

Since RS is 4x, we can substitute a 7 in for x to get 4(7) or 28.

Option (c) 28 is your correct answer.

RS + ST = RT

substitute the value in equation

=> 4x + 3x + 11 = 60

=> 7x + 11 = 60

11 will move to RHS to sub from 60 to get 49.

=> 7x = 60 - 11

=> 7x = 49

=> x = 49÷7

∴ x = 7

Now, finding distance between RS by putting 7 in x value.

Distance between RS = 4x

= 4(7)

= 28

Therefore, the distance between RS is 28.

Answer:

e

Step-by-step explanation:

yan ang answer pa heart nalang

Answer:

c and e

Step-by-step explanation:

To represent the yearly rainfall in a graph, eric should use the Bar Graph

which is commonly used worldwide

Bar Graph:

The graphic representation of data in the form of vertical or horizontal bars or rectangular strips having uniform width is called bar graphs.

A bar graph is used to give the comparison between two or more groups. It comprises of two or more parallel vertical (or horizontal) rectangles.

With bar graphs, we can compare data sets from different groups. The graph depicts groups on one axis and a discrete value on the other. The main purpose is to display the relationship between the two axes.

you can learn more about graph from:

https://brainly.com/question/14894834

#SPJ4

Answer:

Sry I need points lol

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

3*5=15

Answer:

x = 15

Step-by-step explanation:

x/3 = 5

3* x/3 = 3*5

x=15

In simplified form... multiply both sides by 3 to get x by itself and you should get, x = 15

Answer:

Its a and c

Step-by-step explanation:

Did it and got it right

The equivalent expression to 6 + (-x) + 2x + (-7) is x - 1

Given expression

6 + (-x) + 2x + (-7)

= 6 - x + 2x - 7

= x - 1

Options

= 3x - 1

= 3x + 2

= 3x - 1

True

Learn more about equivalent expression:

https://brainly.com/question/2972832

As per the given details, If Joe travelled from New York to Madrid, with a stop in London in between, then he travelled the distance of 4423.28 miles.

He did not reach his goal of 5000 miles but he is short of 576.72 miles.

Distance:

Distance refers the length of the line joining the two points.

Given,

Joe wanted to travel at least 5,000 miles on his vacation. The distance from New York to London is 3,358 miles. The distance from London to Madrid is 1065.28 miles.

Here we need to find the miles did he travel, and did he reach his goal, if no, then How close to his goal is he.

While we looking into the given question, we have identified the following,

=> Goal = 5000

=> distance travelled = (New York to London) + (London to Madrid)

Now, we have to apply the values on the equation then we get,

=> distance travelled = 3358 + 1065.28

=> distance travelled = 4423.28

So, he did not attained his goal of 5000 miles,

And the shortage is calculated by find the difference between the numbers,

Then we get.

=> 576.72.

To know more about Distance here.

https://brainly.com/question/15256256

#SPJ1

Answer:

To find out how many 1 1/2 foot boards can be cut from a 12 foot long board, we need to divide the length of the board by the length of each board.

First, we need to convert 1 1/2 feet to an improper fraction.

1 1/2 = (2 x 1 + 1) / 2 = 3/2

So, each board is 3/2 feet long.

Next, we divide the length of the 12 foot long board by the length of each board:

12 / (3/2) = 12 x 2/3 = 24/3 = 8

Therefore, 8 boards of length 1 1/2 feet can be cut from a 12 foot long board.

Step-by-step explanation:

Answer:

Hi in my opinion maybe the answer is - 1

Answer:

(0, - 1)

Step-by-step explanation:

The y-intercept is the value of y when the x is equal to 0.

Answer:

91/4 as a fraction, 22.75 as a decimal

Step-by-step explanation:

(-51/4) - (-71/2)

=

(-51/4) + (71/2)

=

(-51/4) + (142/4)

=

(-51+142/4)

=91/4

Your answer is 91/4. The decimal version is 22.75. Hope this helps :)

The quadratic function for the value of David's investment indicates;

(i) $45,000

(ii) 9.375 months

A quadratic function is a function that can be expressed in the form; f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, and c are numbers.

The model of the value of the investment in the bank obtained from the amount of his retirement funds David invested in the bank can be presented as follows;

a = 45 + 75·t - 4·t²

Where;

a = The value of the investment in thousand of dollars after t months

t = The number of months of the investment

(i) The initial amount David invested can be found by plugging in t = 0, in the function for the amount David invested in the bank, as follows;

a = 45 + 75 × 0 - 4 × 0² = 45

The initial amount David invested is; a = $45,000

(ii) The number of months it takes for David investment to reach a maximum value can be found from the quadratic function as follows;

The number of months t(max) at the maximum amount is; t(max) = -75/(2 × (-4)) = 9.375

Therefore, it will take 9.375 months for David's investment to reach a maximum value

Learn more on the maximum value of a quadratic function here: https://brainly.com/question/11170631

#SPJ1

Answer:

2) d. 60°

3) a. AB

Step-by-step explanation:

Question 2

ΔABC and ΔCDA are congruent because:

This means the corresponding side lengths and angles are equal.

Therefore,

∠CDA = ∠ABC

⇒ x = 60°

Question 3

The hypotenuse is the longest side of a right triangle - the side opposite the right angle (the right angle is shown as a small square).

Therefore, the hypotenuse of ΔABC is the line AB.

Answer:

MARK HIM BRAINLIEST

Step-by-step explanation:

Answer:

512 ft and 1,232 ft

Step-by-step explanation:

area is length x width

the pool's area can be calculated doing 32ft x 16ft

the area of the pool is 512 ft

the deck's area can be calculated doing 28ft x 44ft

the area of the deck is 1,232 ft

you're welcome<3

Answer:

honestly I don't know 5

Step-by-step explanation:

Answer:

1.9*10^4   kg

Step-by-step explanation:

1.9*10^4   kg

Answer:

1.9 × 10⁴

Step-by-step explanation:

Move the decimal 4 places to the left to get your number less than 10 but greater than one. Every space you moved left is then placed in the position of the exponent for 10.

Answer:

the way in which factors are grouped in a multiplication problem does not change the product.

Step-by-step explanation:

Proportional relationships follow the next equation.

y = kx

where y and x are the variables, and k is a constant

when x is 29 and Y is 276.5.

The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.

Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.

So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.

Hence, the correct answer is:

C. Divide 111 by 445.