Darrel receives a weekly salary of $425. In addition, $18 is paid for every item sold in excess of 100 items. How much will Darrel earn for the week is he sold 175 items?

Answers

Answer 1

According to the solution we have come to find that, With the help of simple addition, we conclude that Darrel would earn $1,775 for the week if he sold 175 items.

What is addition?

Addition is a mathematical operation that involves combining two or more numbers to obtain a total or sum.

Darrel's base salary is $425 per week. He also earns an additional $18 for each item sold in excess of 100 items. So for the 75 items sold in excess of 100, he will earn an additional $18 per item, for a total of:

75 × $18 = $1,350

Adding his base salary to his earnings from the additional items sold, Darrel's total earnings for the week if he sold 175 items would be:

$425 + $1,350 = $1,775

Therefore, Darrel would earn $1,775 for the week if he sold 175 items.

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Related Questions

X- y = -7 slope intercept form

Answers

Answer:

\(y=x+7\)

Step-by-step explanation:

Let's simply rearrange bringing y to the RHS, -7 to the LHS and reading right to left:

\(x+7=y \rightarrow y=x+7\)

A sample of a radioactive substance decayed 11% over the course of 3 weeks. How many grams were in the sample originally if 30.26 grams of the substance were remaining after the 3 weeks?

Answers

Answer:

34 grams

Step-by-step explanation:

If the remaining sample has 30.26 grams of radioactive substance, and 11% of it decayed, that means that 30.26 grams is 89% of the original. Let the original be x.

30.26=0.89x

Multiply both by one hundred

3026=89x

Divide both by 89

34=x

x=original, so the original was 34 grams.

Describe the translation of point
P(-6,2) to point P(-10,5) using coordination notation

Answers

Answer:

we can go over this ok

Step-by-step explanation:

Answer:

Answer

Step-by-step explanation:

Set up an equation for x and solve to the nearest degree

Set up an equation for x and solve to the nearest degree

Answers

Answer:

Almost equals 28°

Step-by-step explanation:

cos(x)= 12/18

x= cos^-1 (12/18)

So it equals 48.1896°

Amanda tells you that because a variable is in the denominator, the equation 3/x+1/3 = 5/6 becomes unsolvable. Amanda explained there is a value for x that makes the denominator 0, and you can't divide by 0. Demonstrate to Amanda how the equation is still solvable and explain your reasoning.

Answers

Answer:

x=6

Step-by-step explanation:

5/6-1/3=3/6 or 1/2 so 3/x=1/2 and since 3/6=1/2 x=6

Into a mixed number btw. Marcos talks to his grandfather in Alabama for about 95 minutes per month about how long does her talk each day on average? (Hint: use 1 month=30 days)

Answers

Answer:

The answer is 3.16666667 its simple u just divide 95 by 30

Step-by-step explanation:

Answer:

3.06451613

Step-by-step explanation:

You divide 95 by 31 to get 3.06441613

What is the remainder of 26 divided by 53.3
WILL GIVE BRAINLIEST

Answers

Answer:

0.48780487804

someone please help with my geometry

Answers

Geometry encompasses various topics such as angles, lines, triangles, circles, polygons, and more.

Whether you need help with a specific theorem, a geometric proof, or solving a particular problem, feel free to describe the problem or provide any relevant information.

You can also ask general questions about geometry concepts or seek clarification on any topic you find challenging. Remember to provide all the necessary details, such as given information, diagrams, or specific requirements of the problem, to help me understand and assist you better.

Geometry often involves visual representation, so if you can provide any diagrams or illustrations related to your question, it would be helpful. However, if you can only describe the problem or concept in words, that's perfectly fine too.

Rest assured that I'll do my best to provide clear explanations, step-by-step solutions, and any additional information or insights to help you understand and solve your geometry problem.

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Factor 72x−18xy . If the expression cannot be factored, write cannot be factored.

Answers

Answer:

The factors of the expression are 18x and 4-y

Given the expression 72x - 18xy

Find the factor of each term:

72x = 18 * 4 * x

18xy = 18 * x * y

Since 18x is common to both terms, hence the factored form is expressed as:

72x - 18xy = 18x (4 - y)

Step-by-step explanation: Hope this helps!! Mark me brainliest!!

Answer:

18x(4−y)

Step-by-step explanation:

72x−18xy

Factor out 18.

18(4x−xy)

Consider 4x−xy. Factor out x.

x(4−y)

Rewrite the complete factored expression.

18x(−y+4)

Evaluate

18x(4−y)

PLEASE HELP ME SOLVE THIS QUESTION
ln(x^3 / (1 + x))

Answers

Answer:

  3·ln(x) -ln(1+x)

Step-by-step explanation:

You want to "solve" the expression ln(x³/(1+x)).

Rules of logarithms

The relevant rules of logarithms are ...

  ln(a^b) = b·ln(a)

  ln(a/b) = ln(a) -ln(b)

Application

The given log expression can be expanded as ...

  \(\ln{\left(\dfrac{x^3}{1+x}\right)}=\ln(x^3)-\ln(1+x)=\boxed{3\ln(x)-\ln(1+x)}\)

out of 20 blocks 15 are shaded whats is the pecentage

Answers

Answer:

75%

Step-by-step explanation:

You turn the information into a fraction which is 15/20.

20x 5= 100, and everything you do in the bottom you have to do the top and 15 times 5 is 75.

Hope it helps

In a class of students, the following data
table summarizes how many students have a
cat or a dog. What is the probability that a
student chosen randomly from the class has
a cat?
Has a dog
Does not have a
dog
Has a cat
2
3
Does not have a
cat
12
10

Answers

The table can be summarized as follows:

|          | Has a dog | Does not have a dog |

|----------|-----------|---------------------|

| Has a cat     | 2         | 3                   |

| Does not have a cat | 12        | 10                  |

To find the probability that a student chosen randomly from the class has a cat, we need to find the total number of students who have a cat (regardless of whether or not they have a dog), and divide it by the total number of students in the class.

The number of students who have a cat is 2 (those who have a dog and a cat) + 3 (those who have a cat but do not have a dog) = 5.

The total number of students in the class is the sum of all four categories: 2 (has a cat and a dog) + 3 (has a cat, does not have a dog) + 12 (does not have a cat, has a dog) + 10 (does not have a cat, does not have a dog) = 27.

So, the probability that a student chosen randomly from the class has a cat is 5/27.

im supposed to convert this into a fraction, halp pls

.71

Answers

Answer:

71/100

Step-by-step explanation:

71 and 100 do not have a common number to simplify/ reduce by. There for 71/100 is the simplest as a fraction for for .71

Answer:

answer is 3/4

Step-by-step explanation:

0.75 ×4=3/4

Can someone help me please it's only 2 questions!!!!!

Can someone help me please it's only 2 questions!!!!!
Can someone help me please it's only 2 questions!!!!!

Answers

Problem 1

Answer:   -4 + 7

Reason: We start at 0 and move 4 units left. This is represented by 0+(-4) or 0-4. That simplifies to -4. Then add on 7 to move 7 units to the right to arrive at 3 as the final destination.

=============================================

Problem 2

Answer:   8 + 3

Reason: We start at 0 and move 8 units to the right. That is represented by +8 or simply 8. Then the +3 will move us 3 more units to the right to get to 11 on the number line. This is one visual way to see why 8+3 = 11.

(-4,3) (2,15) and y-intercept :3
write the slope intercept form

Answers

An equation of the line that passes through the point (1, -3) and has a slope of -3 in slope-intercept form is y = 2x + 3.

How to determine an equation of this line?

Mathematically, the standard form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

m represents the slope.x and y are the points.c represents the intercept.

Next, we would determine the slope of this straight line by using this mathematical equation;

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

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (15 - 3)/(2 - (-4))

Slope (m) = 12/6

Slope (m) = 2.

Therefore, the equation in slope-intercept form is given by:

y = mx + c

y = 2x + 3

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Diameter(a) is 20 cm and diameter(b) is 5. What is the ratio of circumference(a) to circumference(b)?.

Answers

Answer:

5:1

Step-by-step explanation:

d_a = 20

d_b = 5

Equation for the circumference of a circle:

C = pi*d

C_a = pi * d_a

C_a = pi*20

C_b = pi * d_b

C_b = pi * 5

Ratio of C_a to C_b = C_a/C_b

C_a/C_b = (pi * 20)/(pi * 4) = 5:1

You are a great student so you know that you answer probability questions correctly with probability 0.8. A friend told you that "NA" is a correct answer with probability 0.01 in general. Let XX be a random variable that takes on the value 1 if you answer a probability question correctly and 0 otherwise, and let YY be a random variable with takes on the value 1 if "NA" is the correct answer to the probability question and 0 otherwise.Required:a. P [X=0]=_______b. P[Y=1]=________

Answers

Answer:

sorry gave wrong answer

Step-by-step explanation:

86.67 as a fraction pls help

Answers

Answer:

(Reduced) fractional number equivalent of 86.67 is

8667 /100

Step-by-step explanation:

Steps to convert decimal into fraction

Write 86.67 as

86.67

1

Multiply both numerator and denominator by 10 for every number after the decimal point

86.67 × 100

1 × 100

=

8667

100

Reducing the fraction gives

8667

100

Answer:

86 67/100

Hope this help

40/5 has a whole numbe

Answers

Answer:

Yes 40/5 is 8

Step-by-step explanation:

40/5=8

It’s 8
Because 40/5 =8. In calculator

Between which two consecutive integers does \(\sqrt138\)lie?

Answers

The square root of 138 lies between 11 and 12, as 11²=121 and 12²=144.

What is number?

Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.

This is because the square root of a number is the number that, when multiplied by itself, produces the original number. Therefore, to find the square root of 138, we need to identify two consecutive integers such that one of them squared is smaller than 138 and the other squared is larger than 138.

To do this, we can work our way up from the integer closer to 0, in this case 11. 11 squared is 121, which is smaller than 138, so we know that the square root of 138 must be between 11 and a larger integer. Then, if we square 12, we get 144, which is larger than 138. Therefore, we can definitively say that the square root of 138 lies between 11 and 12.

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The square root of 138 lies between 11 and 12, as 11² is 121 and 12² is 144.

What is number?

Number is a mathematical object used to count, measure, and label. Numbers are used in almost every field of mathematics and science, including algebra, calculus, geometry, physics, and computer science. Numbers can also be used to represent data, such as population, income, temperature, or time. In addition, numbers are used to represent abstract concepts, such as love, truth, beauty, and justice.

To calculate this, we can divide 138 by 11 and 12, and see which integer is closer to the answer.

138 divided by 11 is 12.545454545454545454545454545455.
138 divided by 12 is 11.5.

Since 11.5 is closer to the answer, the square root of 138 lies between 11 and 12.

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Which of the following statements is (are) true about the sampling distribution of the sample mean?


-
The sampling distribution of sample mean will be exactly normally distributed as long as the sample size is at least 30.


-
If the distribution of the sample mean of samples of size 6 looks skewed to the right then the underlying population distribution can't be normal.


-
As n increases, the expected value of the sample mean increases.


-
As n increases, the standard error of the sample mean decreases.


-
The sampling distribution of the sample mean has a mean equal to the population mean μ even if the sample size n is small.

A.
False

B.
True

Answers

Answer:

B.

True

Step-by-step explanation:

next time change it to is/are replace of is(are) (⁠~⁠_⁠~⁠;⁠)

Select all that apply.

Which symbols could be used to make the following statement true?

-15 ___ -19


<

=

>

Answers

Answer:

>

Step-by-step explanation:

-19 is less than -15 so it will be >

What is the value of the correlation coefficient r of the data set?

What is the value of the correlation coefficient r of the data set?

Answers

You might have already done this now, but the answer is

0.84

I just finished the Quiz :)

Solve using the order of operations (4 x 15) - 3

Answers

Answer:

57

Step-by-step explanation:

Answer: 57

Step-by-step explanation:

1. Calculate what's in the parentheses first

(4 * 15) = 60

(60) - 3 = ?

2. Exponents (Powers, Roots) before you Multiply, Divide, Add or Subtract

Not applicable for this problem.

3. Multiply or Divide before you Add or Subtract

Not applicable for this problem.

4. For anything else left, just go from left to right

60 - 3 = 57

If you want to remember the shortcut; PEMDAS

P  - Parentheses first

E  - Exponents (Powers and Square Roots, etc.)

MD  - Multiplication and Division (left-to-right)

AS  - Addition and Subtraction (left-to-right)

Remember that:

Divide and Multiply rank equally (and go left to right).

Add and Subtract rank equally (and go left to right)

Evaluate 7 + x(-3)
When x = -6

Answers

Answer: 25

Step-by-step explanation:

7 + -6(-3)

7 + 18 = 25

Answer:

25

Step-by-step explanation:

x= -6

7+ -6(-3)=

7+ (18)=25

25

Suppose P(x) = 3x 2−4x−7 is a quadratic function and we suspect that 8 3 is a zero of P(x). How can we confirm our suspicion?

Answers

P(8/3) is not equal to zero, we can conclude that 8/3 is not a zero of P(x). Therefore, our suspicion was incorrect.

What is quadratic equation and how to solve it ?

A quadratic equation is a second-degree polynomial equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.

To solve a quadratic equation, there are different methods, such as factoring, completing the square, and using the quadratic formula. The quadratic formula is the most general method and can be used for any quadratic equation.

It states that the solutions to the equation ax^2 + bx + c = 0 are given by the formula

x = (-b ± sqrt(b^2 - 4ac)) / (2a).

We can use this formula to find the roots of the equation by substituting the values of a, b, and c into the formula and simplifying.

To confirm if 8/3 is a zero of the quadratic function P(x) = 3x^2 - 4x - 7, we can substitute 8/3 for x in the equation and check if the resulting expression is equal to zero. If P(8/3) equals zero, then we can confirm that 8/3 is indeed a zero of P(x).

P(8/3) = 3(8/3)^2 - 4(8/3) - 7

= 3(64/9) - 32/3 - 7

= 64/3 - 32/3 - 21/3

= 11/3

Since P(8/3) is not equal to zero, we can conclude that 8/3 is not a zero of P(x). Therefore, our suspicion was incorrect. If we want to find the zeros of P(x), we can use the quadratic formula or factor the equation into (3x + 1)(x - 7) = 0 to get the roots x = -1/3 and x = 7.

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A light source at a height of 8 metres is shining a laser beam onto the mirror on the ground. The light beam needs to be observed by a sensor at a height of 4 metres. If the total distance the laser beam travels is 15 metres, what is the distance between the bases of the light source and the sensor? Your answer should be a numerical value.

Answers

Using the Pythagorean theorem, we can find the distance between the bases of the light source and the sensor. Let's call this distance "x".

We know that the light source is at a height of 8 metres and the sensor is at a height of 4 metres, so the vertical distance between them is 8 - 4 = 4 metres.

We also know that the total distance the laser beam travels is 15 metres. Let's call the horizontal distance between the mirror and the sensor "y". Then, the horizontal distance between the light source and the mirror is also "y".

Using the Pythagorean theorem, we can create an equation:

x^2 = y^2 + 4^2 (equation 1)
x^2 = y^2 + (15-y)^2 (equation 2)

We can simplify equation 2 by expanding (15-y)^2:

x^2 = y^2 + (225 - 30y + y^2)

Combining like terms:

x^2 = 2y^2 - 30y + 225

Now we can substitute equation 1 into this equation:

y^2 + 4^2 = 2y^2 - 30y + 225

Simplifying:

y^2 + 16 = 2y^2 - 30y + 225

Rearranging and simplifying:

y^2 - 30y + 209 = 0

Using the quadratic formula:

y = (30 ± sqrt(30^2 - 4*1*209)) / (2*1)
y = (30 ± sqrt(16)) / 2
y = 15 ± 2

Since we're looking for a positive value for "y", we can take the solution y = 15 - 2 = 13.

Now we can substitute this value of "y" into equation 1:

x^2 = 13^2 + 4^2
x^2 = 185
x = sqrt(185)

Therefore, the distance between the bases of the light source and the sensor is approximately 13.6 metres.

A number when rounded to the nearest hundred becomes 25 700. What could the greatest possible number be?​

Answers

Step-by-step explanation:

25 700        '7' is in the hundreds position

   to round  DOWN  to this value the maximum number would be 25749

        the number to the RIGHT of '7' is '4'.....if this number were >=5 round the '7' up....o/w leave the '7' alone

At a coffee shop, the first 100 customers'
orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a medium given that he or she ordered a hot
drink?
Rounded to the nearest percent, [? ]%

At a coffee shop, the first 100 customers'orders were as follows.SmallMediumLargeHot54822Cold8125What

Answers

Answer:

48%

Step-by-step explanation:

48/100 = 48%

Edit: the awnser is 64% because 48/75 = 64%

The probability that a customer ordered a medium given that he or she ordered a hot drink is,

⇒ 48%

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

At a coffee shop, the first 100 customers orders were as given.

Now,

Total customer = 100

Order hot median coffee = 48

Thus, The probability that a customer ordered a medium given that he or she ordered a hot drink is,

⇒ 48 / 100

⇒ 0.48

⇒ 48%

Thus, The probability that a customer ordered a medium given that he or she ordered a hot drink is,

⇒ 48%

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a/b - c + d if a = 7/8, b= -7/16, c= 0.8 and d= 1/4 write your answer as a mixed number in simplest form? help me please

Answers

To solve this expression, we need to substitute the given values of a, b, c, and d into the expression and simplify:

a/b - c + d = (7/8) / (-7/16) - 0.8 + 1/4

We can simplify the first term by dividing the numerator by the denominator and multiplying by the reciprocal:

(7/8) / (-7/16) = (7/8) * (-16/7) = -2

Substituting this value, along with the values of c and d, we get:

a/b - c + d = -2 - 0.8 + 1/4

Combining the constant terms, we get:

a/b - c + d = -2.8 + 1/4

To express this as a mixed number in simplest form, we first convert the decimal to a fraction by multiplying both the numerator and denominator by 100:

-2.8 + 1/4 = -280/100 + 25/100

Combining these fractions, we get:

-280/100 + 25/100 = -255/100

To express this as a mixed number, we divide the numerator by the denominator to get the whole number part, and express the remainder as a fraction of the denominator:

-255/100 = -2 55/100 = -2 11/20

Therefore, the answer in mixed number form is -2 11/20.
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