Let us say that:
x = is the number of ads that Nadia sold every week
P = payment or amount that she receives every week
So the equations we can formulate for choice A and B are:
choice A: P = 110 x
choice B: P = 150 + 85 x
The amount that she receives for A must be greater than she receives for choice B, so:
110 x > 150 + 85 x (inequality equation)
Calculate for x:
110 x – 85 x > 150
25 x > 150
x > 6
Therefore Nadia must sell more than 6 ads every week so that Choice A would be the better choice.
Final answer:
Nadia would need to sell more than 6 ads per week for Choice A to be a better choice than Choice B. We find this by setting up an inequality of 110x > 150 + 85x (where x represents the number of ads sold), then solving for x.
Explanation:
To determine the number of ads Nadia would need to sell per week for Choice A to be a better choice, we can set up the following income inequalities based on her two payment options:
Choice A: $110 per ad sold.
Choice B: $150 weekly salary + $85 per ad sold.
We want to find when Choice A's income exceeds Choice B's income:
Let x be the number of ads sold. Then, the inequality is:
110x > 150 + 85x
To solve for x:
Subtract 85x from both sides: 110x - 85x > 150
This simplifies to: 25x > 150
Divide both sides by 25: x > 6
Therefore, Nadia would need to sell more than 6 ads per week for Choice A to be the better choice.
What is the function rule for the line?
f(x)=−32x+2
f(x)=−32x−2
f(x)=32x−2
f(x)=−23x−2
To find the function rule for the line ,
we pick two points from the graph
Lets pick (-2,1) and (0,-2)
We find the slope using two given points
[tex]slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
(-2,1) is (x1,y1) and (0,-2) is (x2,y2)
Plug in the values in the slope formula
[tex]slope = \frac{-2 - 1}{0 - (-2)}[/tex]
[tex]slope = \frac{-3}{2}[/tex]
To frame equation we use equation y = mx + b
Here y intercept is -2 that is our b
So equation becomes [tex]y=\frac{-3}{2} x -2[/tex]
Answer:
The answer is f(x) = -3/2x - 2
good luck!
Simplify the product using the distributive property. (4h+6)(4h-7)
Answer:
the product using the distributive property. (4h+6)(4h-7) is, [tex]16h^2-4h-42[/tex]
Step-by-step explanation:
The distributive property says that:
[tex]a \cdot (b+c) =a\cdot b+ a\cdot c[/tex]
To find the product:
[tex](4h+6)(4h-7)[/tex]
then;
[tex]4h(4h-7)+6(4h-7)[/tex]
Apply the distributive property we have;
[tex]16h^2-28h+24h-42[/tex]
Combine like terms we have;
[tex]16h^2-4h-42[/tex]
therefore, the product using the distributive property. (4h+6)(4h-7) is, [tex]16h^2-4h-42[/tex]
Reduce the fraction to lowest terms
y+5/2y+10
A box of icecream bars cost $1.50 after a 25% discount. What was the original price of the box of ice cream bars?
Answer:
The answer is 2 because you are taking the discounted price and multiplying it by the original price to get your answer to this problem.
Step-by-step explanation:
can every odd whole number be written as the difference of two squares
Every odd whole number can indeed be written as the difference of two squares, leveraging the fact that the difference between the squares of consecutive integers is an odd number.
The question whether every odd whole number can be written as the difference of two squares is of arithmetical and algebraic interest. The answer is yes, every odd whole number can be expressed as such. For example, consider the odd whole number 7. This number can be expressed as 4^2 - 3^2, which simplifies to 16 - 9, giving us 7. Generally, for any odd whole number n, we can find whole numbers x and y such that n = x^2 - y^2. This is because we can write n = (m+1)^2 - m^2, where m is an integer. Essentially, m can be taken as (n-1)/2 which ensures that m and m+1 are consecutive integers, hence their squares differ by an odd number, which is n.
In a taste test people were asked which of 4 soft drinks they liked best. of those surveyed 1/3 chose orange crush 2/5 chose killa kola and 1/6 chose lime sublime. what fraction chose the fourth drink pls show all work and answer
To find the fraction of people who chose the fourth drink, we subtract the fractions of people who chose the other three drinks from 1. The fraction is 3/30.
Explanation:To determine the fraction of people who chose the fourth drink, we need to subtract the fractions of people who chose the other three drinks from 1.
The fraction of people who chose Orange Crush is 1/3, the fraction of people who chose Killa Kola is 2/5, and the fraction of people who chose Lime Sublime is 1/6.
To find the fraction of people who chose the fourth drink, we subtract the sum of these three fractions from 1: 1 - 1/3 - 2/5 - 1/6.
To simplify this calculation, we can find a common denominator for the fractions. The least common multiple of 3, 5, and 6 is 30.
Converting the fractions to have a denominator of 30, we get: 30/30 - 10/30 - 12/30 - 5/30 = 3/30.
Therefore, the fraction of people who chose the fourth drink is 3/30.
what is halfway between positive 6900 and negative 8100?
A FRIEND GAVE MS.MORRIS A GIFT CARD FOR A LOCAL CAR WASH. THE TABLE SHOWS THE LINEAR RELATIONSHIP OF HOW THE VUALE LEFT ON THE CARD RELATES TO THE NUMBER OF CAR WASHES
The table is:
Number of washes denoted by x: 0, 8, 12
Amount left on card denoted by y: 30, 18, 12
a. Write an equation that shows the amount of dollars left on the card
Solution:
18 – 30 divided by 8 – 0 = -12/8
On simplest form is -3/2
The equation is y = -3/2x + 30
b. Explain the meaning of the negative slope above.
As the number of car washes increase, the dollars left on the card decreases.
c. What is the maximum value of x?
0 = -3/2x + 30
2/3 x 3/2 x = 30/1 x 2/3
Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2
x = 20
Answer:
my friend here justin and he is carck at fortnite my guy
Step-by-step explanation:
What is the perimeter of a triangle if the lengths of the sides are 8", 10", and x?
Find an equivalent mixed number for the decimal number. 2.64
what is the unit rate for a 10lb bag of cherries for $33.49
Between which two whole numbers is the square root of 18?
How many 2/5 pound servings are in a 1/4 of a bag of candy?
Elisa made 0.44 of the free throws she attempted. What is the amount written as a fraction in simplest form??
graph 7x-4y=-8 and x+2y=-14
what is the slope of a line that is parallel to the x-axis? m=
what is the slop of a line that is perpendicular to the x-axis? m=
what is the slop of a line that is parallel to the y-axis? m=
what is the slop of a line that is perpendicular to the y-axis? m=
Simplify √-48
Choices:
-4√3
4√-3
4i√3
4√3i
Dario’s school has rented several buses to take students on their field trip to visit the Science Museum in the neighboring town. Each bus can hold 64 people, including the bus driver. The driver said that the museum is 153.82 miles away from school. A total of 360 students, teachers and chaperones are going on the trip. A total of six buses were rented for this field trip. The bus company charges $0.645 per mile, per bus. What will the total bus cost for this trip (rounded to the nearest cent)?
maco is selling floral arrangements each arrangement uses 1 vase and 11 orchids each vase costs Marco 4.00$ let be the cost of the arrangement and r be the cost of the 1 orchid which equation should Marco use to find the total cost of each arrangement.
A. 11= C +4r
B. 11C = r + 4
C. C= r + 4
D. C = 11r + 4
The correct equation for Marco to determine the price of each floral arrangement is 'C = 11r + 4', which represents the total cost of the arrangement 'C' calculated by summing the cost of 11 orchids (11 times 'r') and the cost of one vase ($4.00).
Explanation:To determine the total cost of each floral arrangement that Marco is selling, the cost of the vase and the cost of the orchids used in the arrangement must be added together. As per the question, each arrangement uses one vase that costs $4.00 and 11 orchids. However, the cost of individual orchids is not mentioned and represented by 'r' in the question.
Therefore, the equation Marco should use to find the total cost of each floral arrangement is D. C = 11r + 4. This equation denotes that the total cost of the arrangement 'C' is the sum of the cost of 11 orchids (11 times 'r', where 'r' is the cost of one orchid), and the cost of the vase which is $4.00.
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express f (x) = |x-5| as a piecewise defined function
HEEELPPPPPPPPPP AAASSAAAAPp
verify
(a-5)(a+5)=a^2-25
(x-88)(x+88)=x^2-88^2
A^2-B^2=(a-b)(B-A)
SOLVE FOR X
X^2-9=5(x-3)
(w+2)(w-5)=w^2-4
solve
x^2-11x=0 for x
The square of a number plus 3 times the number is equal to four . What is the number.
is b factorable
x^2+bx+12
x^2-3x+b
The balance in two separate bank accounts grows each month at different rates. The growth rates for both accounts are represented by the functions f(x) = 2x and g(x) = 4x + 12. In what month is the f(x) balance greater than the g(x) balance?
Month 6
Month 5
Month 4
Month 3
marta put $4.87 in her Coin bank
florence purchased stock for $20 per share. After 6 days, the stock is worth $32 per share. What integer represents the average increase in stock value each day? Show your work.
Jonathon borrowed $800 from his grandparents to start a lawn mowing business in his neighborhood.After mowing lawns for a month and paying his expenses, he was able to pay then $188.56. How much does Jonathan still owe his grandparentes
Answer:
You spelled grandparents wrong.
Step-by-step explanation:
10 POINTA HELP FAST! Liam had a container of oatmeal that contained 5 1/2 cups of oatmeal. Liam ate 4/9 cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
A. 2 1/2
B. 3
C. 3 1/2
D.5
Answer:
At the end of the 5 days week, the number cups of oatmeal left are 59/18.
Step-by-step explanation:
Given that the container has 5 and half or 11/2 cup of oatmeal. Every morning Liam at 4/9 cups of oatmeal and this took place for 5 days. So, multiply it with 5. The total cups of oatmeal for 5 days will be 20/9.
The cups of oatmeal left after 5 days are
(11 / 2) - (20 / 9)
(99 - 40) / 18
59 / 18
So, 59/18 number of cups of oatmeal are left at the end of 5 days.
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Answer:
Its c
Step-by-step explanation:
devin has 17 quarters, 12 dimes, 18 nickels, and 8 pennies. How much money does he have in change?
What rational number equals 0.3 repeating
The short sides 6cm The long sides twice the short size what is the perimeter
100 fl oz = _ C _ Fl oz