Tina is the top seller of the store. She earns a salary plus 2%. Tina's salary is $30,000 a year. This month her sales were $48,500. How much was Tina paid this month?
Write an algebraic expression to answer the question below. if 10 calculators cost d dollars, how much, in dollars, does each calculator cost?
If f(x) = 2/x and g(x) = x^2 what is f of g
Answer: The required value is [tex]f(g(x))=\dfrac{2}{x^2}.[/tex]
Step-by-step explanation: We are given two functions as follows :
[tex]f(x)=\dfrac{2}{x},~~~~~~~g(x)=x^2.[/tex]
We are to find f of g, i.e., f(g(x)).
To find the required value, first we have to find the f value of the function g(x).
We have
[tex]f(g(x))=f(x^2)=\dfrac{2}{x^2}.[/tex]
Thus, the required value is [tex]f(g(x))=\dfrac{2}{x^2}.[/tex]
Write an equation of the line passing through the point A(−6, 5)that is parallel to the line
y = 1/2 x−7.
The Royal Fruit Company produces two types of fruit drinks. The first type is 65% pure fruit juice, and the second type is 90% pure fruit juice. The company is attempting to produce a fruit drink that contains 80% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 120 pints of a mixture that is 80% pure fruit juice?
Use the numbers 8, 6, and 2 and one operation to write and expression that includes an exponent and has a value of 8. Use each number only once
The suitable way to use the numbers 8, 6, and 2 to create an expression with an exponent that results in the value of 8 is by utilizing the equation 2^3. This equation means 'two raised to the power of three', meaning 2 multiplied by itself thrice, giving us the desired result, 8.
Explanation:To solve this question, we need to consider the mathematical operation of exponentiation, which involves a base number and an exponent. The exponent represents the number of times the base number is to be multiplied by itself.
Given the numbers 8, 6, and 2, we aim to use each number only once to create an expression that includes an exponent and yields a value of 8. The suitable way to do this is by following the equation 2^3 (where 2 is the base number and 3 is the exponent).
To explain further, an exponent is the number of times a number, known as the base, is multiplied by itself. For instance, 2^3 should be read as 'two raised to the power of three', essentially depicting 2 * 2 * 2, resulting in 8. This follows the standard rules of Exponential Arithmetic.
Learn more about Exponents here:https://brainly.com/question/5497425
#SPJ12
How to simplify rational expressions
What is f(6) ? Thanks
Solve be graphing , elimination , or substitution
Which explains why the graphs of geometric sequences are a series of unconnected points rather than a smooth curve?
The range contains only natural numbers.
The domain contains only natural numbers.
Exponential bases must be whole numbers.
Initial values must be whole numbers.
The correct answer is:
The domain contains only natural numbers.
Step-by-step explanation:The graphs of geometric sequences are a series of unconnected points rather than a smooth curve because:
The domain contains only natural numbers.
As the geometric sequence us given as:
[tex]a_1=a,a_2=ar,a_3=ar^2,....[/tex]
where a is the first term of the sequence and r is the common ratio of the geometric sequence.
Also [tex]a_n[/tex] denotes the nth term of the sequence where n belongs to natural numbers that is the domain of the function is natural numbers.
The reason why the graphs of geometric sequences are a series of unconnected points rather than a smooth curve is because: B. The domain contains only natural numbers.
What is a geometric sequence?A geometric sequence is typically a series of real and natural numbers that are calculated by multiplying the next number by the same number each time.
Mathematically, a geometric sequence is given by the expression:
[tex]a, \;ar, \; ar^{2} ....a_n[/tex]
Where:
r is the common ratio.a is the first term of a geometric sequence.In a geometric sequence, the graphs of geometric sequences comprises a series of unconnected points rather than a smooth curve is because the domain is made up of only natural numbers.
Read more on geometric sequence here: https://brainly.com/question/12630565
Eric has a gift card to his favorite restaurant. Every Tuesday he has the same meal at the restaurant. This table shows the balance of money in dollars left on Eric’s gift card at different times. Time (weeks) 2, 4 ,6 ,8 Balance ($) 125, 100, 75, 50 What is the equation that represents Eric’s gift card balance, where x represents the time and y represents the balance?
Answer:
y − 100 = -12.5 (x − 4)
Step-by-step explanation:
Pick two points on the line to calculate the slope:
m = (y₂ − y₁) / (x₂ − x₁)
m = (100 − 125) / (4 − 2)
m = -12.5
Next, use point-slope form to write the line equation.
y − y₁ = m (x − x₁)
y − 100 = -12.5 (x − 4)
Jessica increases the temperature of a block of ice by 20º. Which integer represents the amount by which Jessica must change the temperature for the block of ice to return to its starting temperature? A. –40 B. –20 C. 20 D. 40
Answer:
B. -20
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
The sum of two numbers is
40
. One number is
4
times as large as the other.
The figure shows △ABC . BD is the angle bisector of ∠ABC .
What is AD ?
Enter your answer in the box as a fraction.
____ units
The length of AD is [tex]\dfrac{8}{3}[/tex].
Given:
BD is the angle bisector of the triangle ABC.
The figure of the triangle ABC.
To find:
The length of AD.
Explanation:
According to the Angle Bisector Theorem, the angle bisector of a triangle divides the opposite side in the same proportion of the other two sides.
Let [tex]x[/tex] be the length of AD. Then, the length of DC is [tex]6-x[/tex].
Using the Angle Bisector Theorem, we get
[tex]\dfrac{8}{10}=\dfrac{x}{6-x}[/tex]
[tex]\dfrac{4}{5}=\dfrac{x}{6-x}[/tex]
[tex]4(6-x)=5(x)[/tex]
[tex]24-4x=5x[/tex]
[tex]24=5x+4x[/tex]
[tex]24=9x[/tex]
[tex]\dfrac{24}{9}=x[/tex]
[tex]\dfrac{8}{3}=x[/tex]
Therefore, the length of AD is [tex]\dfrac{8}{3}[/tex].
Learn more:
https://brainly.com/question/10130247
david kalb started a pet-walking business , he charges $20 to walk one dog, twice a day. He walks six dogs five days a week for four customers. He walks three dogs seven days a week for three other customers. How much money does David get from his customers each week? If his weekly expenses are $350, what is the profit?
Answer:
David earns $1,020 a week, and his weekly profit is $670.
Step-by-step explanation:
Since David walks six dogs per day, and each dog is $20, he earns a total of $120 per day from those six dogs. Also, knowing that he walks the six dogs five days a week, he earns $600 from walking the six dogs for five days per week alone. Using this same logic for the three dogs he walks seven days a week, we can conclude that he gets $60 from walking those three dogs. Knowing he walks those three dogs seven days a week, he gets $420 from walking those three dogs. Combining the totals gives us $1,020, the amount of money he earns per week. Since his weekly expenses are $350, we subtract that from $1,020 to get his weekly profit: $670.
The amount that results when $4,000 is compounded at 6% annually over seven years.
Harry enlarged a picture to a height of 30 inches. The original picture was 7" wide by 5" tall. Write a proportion to find the width of the enlargement and then solve for the width of the enlargement.
original height was 5" and it was enlarged to 30"
find the ratio by dividing 30 by 5
30 / 5 = 6
so ratio would be 1/6 meaning for every 1 inch of the original the new one is 6 inches
now you need to multiply the original width by 6 to find the new width
7" x 6 = 42"
new width = 42"
∠A
and
∠B
are vertical angles with
m∠A=x
and
m∠B=4x−30
.
What is
m∠A
?
Find the original price of a pair of shoes if the sale price is $44 after a 60% discount.
Final answer:
To find the original price of a pair of shoes after a 60% discount, divide the sale price by (1 minus the discount percentage). The original price of the pair of shoes is $110.
Explanation:
To find the original price of a pair of shoes after a 60% discount, we can use the formula:
Original price = Sale price / (1 - Discount percentage)
Substituting the given values:
Original price = $44 / (1 - 0.60)
Original price = $44 / 0.40
Original price = $110
Therefore, the original price of the pair of shoes was $110.
Final answer:
To determine the original price before a discount, subtract the discount percentage from 1, convert it to a decimal, and divide the sale price by this number. In this case, the original price for the shoes before a 60% discount, resulting in a $44 sale price, is $110.
Explanation:
To find the original price of an item before a discount, you can use the following steps:
First, understand that the sale price is the price after the discount has been applied to the original price.Express the discount as a decimal. A 60% discount is 0.60 when expressed as a decimal.Since the sale price reflects the remaining percentage after the discount, you subtract the discount decimal from 1 to find the multiplier for the original price. That is, 1 - 0.60 = 0.40.Divide the sale price by this multiplier to get the original price. So, $44 divided by 0.40 equals $110.Therefore, the original price of the shoes was $110 before the 60% discount was applied.
Can someone please help me?
Answer: -1.9
Step-by-step explanation:just add up the values for the weight change
(-1.8)+(0.9)+(-1.4)+(0.4)
-1.9
At a high school with 1100 students, Jake is in the 70th percentile for height. How
many students at the school are either the same height or shorter than Jake?
The point-slope form of the equation of the line with slope 7 passing through the point (4, 6) is
How many feet are in 2000 meters?
Please help! The very last question has 2 answers.
For exercises 14-19, find an equation for the line that satisfies the conditions
62394 rounded to the nearest tenth
Prove that a parallelogram is a square iff its diagonals are both congruent and perpendicular
What number needs to be added to both sides of the equation in order to complete the square? x2+14x=−32
49 is the number to be added to both the sides of the equation to complete the square.
The equation given in the question is
[tex]x^{2} +14x=-32[/tex]Which can be written as [tex]x^{2} +2\times (7x)=-32[/tex]
We have to convert it into square form.
Since the standard form of the equation in square form is
(a + b)² = a² + 2ab + b²
By comparing this standard equation with the given equation,
a = x
&
b = 7
By substituting the values of 'a' and 'x' in the standard square form,
x² + 14x + 7² = -(32) + 7²
x² + 14x + 49 = -32 + 49
(x + 7)² = 17
Therefore, 49 should be added in both the sides of the equation in order to complete the square.
Learn more,
https://brainly.com/question/11242754
A tour group with 22 people in it is getting rooms in a motel to stay in for the night. no more than 3 people can stay in each room. how many rooms will they need
8 rooms will be needed for a tour group of 22 people and the last room will have only one member of the group.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying it with the value of a single unit.
Given is a tour group of 22 people. The group is looking for rooms in a motel to stay in for the night and no more than 3 people can stay in each room.
The number of people who can live in 1 room = 3
This means, we have 3 people for 1 room.
For 1 people, we will have - (1/3) room
For 22 people, we will need -
(22/3)
7.3 rooms
Approximately, 8 rooms will be needed and the last room will have only one member of the group.
Therefore, 8 rooms will be needed for a tour group of 22 people and the last room will have only one member of the group.
To solve more questions on unitary method, visit the link below-
brainly.com/question/18174151
#SPJ5
How to solve for quadratic equations with inequalities?
q, and p