Monique needs to buy a baseball for $20, a soccer ball for $15, and a set of tennis balls for $12. Monique has a coupon that gives her a discount of x percent on a baseball. She has a second coupon that gives her a discount of y percent on a set of tennis balls. The third coupon gives her a discount of z percent on her total purchase. She cannot combine the coupon for the total purchase with the other two coupons. These expressions give both possibilities for the total cost of Monique's purchase after the coupons are applied, the variables represent the percentages as decimals. (1−x)20+(1−y)12+15 (1−z)(20+15+12) Which part of the expression represents the price of the set of tennis balls after a coupon was applied directly to them?
a.)12
b.)12(1−y)
c.)20 + 15 + 12
d.)20(1−x)
Answer:
[tex]12(1-y)[/tex] represents the price of the set of tennis balls after a coupon was applied.
Step-by-step explanation:
Monique needs to buy a baseball for $20, a soccer ball for $15, and a set of tennis balls for $12.
In the given expression, [tex](1-x)20+(1-y)12+15[/tex] ; [tex](1-y)12[/tex] represents the price of the set of tennis balls after a coupon was applied.
Because the second coupon gives her a discount of y percent on a set of tennis balls and the cost of the set is $12.
3 apples cost $1.26 how much do 10 apples cost
The measures of three sides of a triangle can be represented by 2x, 3x and -5, and 4x + 2. The perimeter of the triangle is 65 inches.
a) give an equation to represent this situation.
b) solve for x
c) What are the three lengths of a triangle?
Find the domain and range of the relation, and determine whether it is a function.
{(2, 1), (−4, 5), (1, 7), (2, −3), (−1, 2)}
The domain and range of the relation will be [−4, −1, 1, 2, 2] and [−3, 1, 2, 5, 7], respectively. The relation is a function.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function is given in the form of a coordinate.
f = {(2, 1), (−4, 5), (1, 7), (2, −3), (−1, 2)}
The domain of the function will be
D = [−4, −1, 1, 2, 2]
And the range of the function will be
R = [−3, 1, 2, 5, 7]
The domain and range of the relation will be [−4, −1, 1, 2, 2] and [−3, 1, 2, 5, 7], respectively.
The relation is a function because the values of the ordinate are different.
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I need help with number 4
PLEASE ANSWER OR ILL FAIL MATH
A seafood restaurant claims an increase of $3,150 over its average profit during a week where it introduced a special of baked clams.
Part 1
If this is true, how much extra profit did it receive per day?
The restaurant received $
450
extra profit per day.
Part 2
If it had, instead, lost $150 per day, how much money would it have lost for the week?
The restaurant would have lost $
1,050
for the week.
Part 3 out of 3
If its total loss was $420 for the week, what was its average daily change?
The restaurant's average daily change was −$
.
Final answer:
The restaurant gained an additional $450 per day with the special item, lost $1,050 if it had lost $150 per day, and an average daily loss of $60 if the total weekly loss was $420.
Explanation:
To calculate the extra profit per day, we divide the total extra profit by the number of days in a week. $3,150 divided by 7 days gives us $450 extra profit per day.
If the restaurant had lost $150 per day instead, we would multiply the daily loss by the number of days in a week. So, $150 times 7 days equals a total loss of $1,050 for the week.
For the last part, if the total loss for the week was $420, to find the average daily change, we divide this amount by 7. Thus, $420 divided by 7 days equals a daily change of -$60.
you have scored 7,10,8 , and 9 on four quizzes . write and solve an equation to find the score you need on the fifth quiz so that your mean score is 8
To achieve a mean score of 8 after five quizzes, you would need to score 6 in your fifth quiz, assuming your scores in the first four quizzes were 7, 10, 8, and 9 respectively.
Explanation:Yes, these scores are associated with the subject of mathematics, particularly the branch of math known as statistics. This involves determining how to achieve a desired mean, which in this case is 8, given your previous quiz scores.
The mean score is determined by adding all your quiz scores together and dividing by the total number of quizzes. So for your first four quizzes, the total is 7 + 10 + 8 + 9 = 34. The mean so far is 34 ÷ 4 = 8.5 which is already above our targeted mean of 8.
To achieve a mean of 8 over 5 quizzes, the total of your scores would need to be 8 x 5 = 40. Therefore, the score you would need to get on your fifth quiz would be 40 (the desired total) - 34 (the current total) = 6.
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Find y when x=9 if y varies directly as the square of x, and y=100 when x=5.
Answer:
324
Step-by-step explanation:
Given : y varies directly as the square of x
To Find : Find y when x=9
Solution :
We are given that y varies directly as the square of x
[tex]\Rightarrow y \propto x^2[/tex]
So, [tex]\Rightarrow y= kx^2[/tex] ---1
where k is the constant of proportionality
Now we are also given that y=100 when x=5.
Substitute the values in 1
[tex]100= k(5)^2[/tex]
[tex]100= 25k[/tex]
[tex]\frac{100}{25}=k[/tex]
[tex]4=k[/tex]
So, equation becomes [tex]y= 4x^2[/tex]
Now substitute x= 9
[tex]y= 4(9)^2[/tex]
[tex]y=324[/tex]
Hence The value of y when x is 9 is 324
Defined as bounded by two distinct end points that contain every point on the line between its end points.
A) circle Eliminate
B) line segment
C) parallel lines
D) perpendicular lines
Answer:
line segment
Step-by-step explanation:
Correct place value for three thousand eight and twenty four thousandths
N=6 times 35+4 ???? Can Someone Plz Help Me
The expression 625(1−x) gives the discounted price of a television, where x is the percent of the discount written in decimal form.
What does the 625 represent in the expression?
the original price of the television
the percent of the original price being paid
the discounted price of the television
the percent of discount
the original price of the television
is your answer.
Let
x-------> the percent of the discount written in decimal form.
y-------> the discounted price of the television
we know that
[tex]y=625(1-x)[/tex]
In the expression
[tex]625[/tex]-------> represent the original price of the television
y--------> the discounted price of the television
x-------> the percent of discount
therefore
the answer is the option
the original price of the television
The average person loses about 8 x 10 to the first Power of hair each day. About how many strands of hair would the average person lose in 9 days?
Use the formula for the area of a rectangle A=lw to answer the question. A rectangle has a width of n units. Its length is 4 units longer than the width. What is the area of the rectangle? A) 2n+4
B) 2+4n
C) 4n
D) n(n+4)
Evaluate.
2 × ((4^2)^-1)
PLEASE HELP
A. 1/2
B. 1/4
C. 1/8
D. 1/16
simplicity the expression (0.4^3)
if Johnny has 3 apples and he gives Tom one apple how many apples does Johnny have
Mischa dives from a platform that is 10 meters above the water. Her dive takes her 2.3 meters below the surface of the water. How far does Mischa's dive take her?
Answer:
12.3 meter.
Step-by-step explanation:
Mischa dives from a platform that is 10 meters above the water.
Her dive takes her 2.3 meters below the surface of the water.
The total distance of Mischa's dive take her = 10 + 2.3
= 12.3 meters.
Mischa's dive takes her 12.3 meter.
Given that 1 meter = 1 x 109 nanometers, what is the diameter of the average cell in the human body, in nanometers? Show your work
The diameter of the average cell in the human body is 1 x 10-5 meters
K=1/2 mv^2. Determine m when v=30 and k=4500
3,817,773 rounded to nearest 100,000
To round 3,817,773 to the nearest 100,000, you look at the digit in the thousands place, which is 1. Since the digit in the hundreds place (7) is greater than or equal to 5, you round up. So, 3,817,773 rounded to the nearest 100,000 is 3,800,000.
Explanation:To round 3,817,773 to the nearest 100,000, we look at the digit in the thousands place, which is 1. Since the digit in the hundreds place (7) is greater than or equal to 5, we round up. We change the digit in the thousands place to 2 and set all the digits to the right of it to 0. So, 3,817,773 rounded to the nearest 100,000 is 3,800,000.
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fill the table using this function rule.
y =29-2x
x y
1 ?
3 ?
4 ?
5 ?
How do u do this math question
Lillian bought 2.52 pounds of tomatoes and 1.26 pounds of lettuce to make salad for 18 people. If each person got the same amount of salad , how much salad did each person get?
Answer:
amount of salad by each person = 0.21 pounds
Step-by-step explanation:
Lilian bought 2.52 pounds of tomatoes and 1.26 pounds of lettuce to make salad for 18 people. That means the combined weight in pounds of tomatoes and lettuce is the weight of the salad.
The weight of the salad = 2.52 + 1.26
The weight of the salad = 3.78 pounds
The total weight of the salad is 3.78 pounds . He shared the weight to 18 people and each person collected the same amount.
To find the amount each person got, we divide 3.78 by 18 people.
amount of salad by each person = 3.78/18
amount of salad by each person = 0.21 pounds
How far did Muhammad and his followers travel in the hijrah?
Suppose x is a number such that 2x=x/2-6. Must it then be true that 3x=12. Explain your reasoning
A group of 5 friends are sharing 2 pounds of trail mix . Write a division problem and a fraction to represent this situation
the density of gold is 19.3g/cm3. if I have a nugget with a volume of 10 cm3, what is the mass of the cube?
An industrial kitchen makes a batch of trail mix containing 52.85 pounds of granola, and 13.4 pounds each of four other ingredients. The batch of trail mix is then distributed equally into five storage containers. How much trail mix is in each storage container?
Answer:
There is 21.29 pounds of trail mix in each container.
Step-by-step explanation:
An industrial kitchen makes a batch of trail mix containing 52.85 pounds of granola, and 13.4 pounds each of four other ingredients.
Total ingredients used =[tex]52.85+4(13.4)[/tex]
= 106.45 pounds
The batch of trail mix is then distributed equally into five storage containers.
Hence, each container contains = [tex]\frac{106.45}{5}=21.29[/tex] pounds of trail mix.
There is 21.29 pounds of trail mix in each container.
Finding multiples that go into 86 52 18