The required cost of the soft drink is given as $5.5 that Kit bought.
Given that,
Kit bought a soft drink and a sandwich for $9.00. What was the price of each if the sandwich cost 3.5 times as much as the soft drink is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Let the price of the soft drink be x,
total cost = 9
x + 3.5 = 9
x = 9 - 3.5
x = 5.5
Thus, the required cost of the soft drink is given as $5.5 that Kit bought.
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The cost of the soft drink is $2, and the cost of the sandwich is $7.
To solve the problem of determining the cost of both the soft drink and the sandwich that Kit bought for $9.00, we can set up an algebraic equation. If we let s represent the price of the soft drink, then the sandwich would cost 3.5 times as much, which can be represented as 3.5s. According to the information given, the total cost for both is $9.00, so our equation will be s + 3.5s = 9. Combining like terms, we have 4.5s = 9. To find the price of the soft drink (s), we divide both sides of the equation by 4.5, resulting in s = 2. Therefore, the soft drink costs $2, and the sandwich costs 3.5 times that, which means the sandwich costs $7.00.
how many times can 15 go into 21 BTW DIVIDING
Gerain is practicing his free throws at basketball practice he attempts 20 free throws and makes 13 baskets what percent of his attempts were baskets
3) The City of Oz has to repaint its cylinder-shaped water tower. Only the top and sides need to be painted. If the water tower has a height of 60 feet and a radius of 20 feet, how many square feet must be painted? A) 400π ft2 Eliminate B) 2400π ft2 C) 2800π ft2 D) 4400π ft2
Answer:
The answer is C 2800 ft2.
Step-by-step explanation:
I just took a quiz and that was the answer. I honestly don't know why.
Final answer:
To find the area to be painted on the cylinder-shaped water tower, we sum the areas of the top and sides. The water tower has a height of 60 feet and a radius of 20 feet, resulting in a total area of 2800π ft^2 to paint.
Explanation:
The City of Oz needs to repaint its cylinder-shaped water tower. To calculate the total surface area to be painted, which consists of the top (a circle) and the sides (a rectangle wrapped around), we use the formulas for the area of a circle and the lateral surface area of a cylinder:
Area of the top (circle) = πr²
Lateral surface area (sides) = 2πrh
The water tower has a height of 60 feet and a radius of 20 feet.
Area to paint = Area of the top + Lateral surface area = π(20 ft)² + 2π(20 ft)(60 ft) = 400π ft² + 2400π ft² = 2800π ft².
Therefore, the correct answer is C) 2800π ft².
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. Suppose Salesmen A and B have the same number of sales and earn the same amount in Week 4 of this month. How many sales must they both have had?
Answer:
a0 - 0
a1 - 300
a2 - 900
a3 - 65
a4 - 340
a5 - 900
a6 - 650
a7 - 700
a8 - 900
Step-by-step explanation:
there you go
Based on the amount that both Salesmen A and B earn per sale, the number of sales they both had was 12 sales.
How many sales did Salesmen A and B have?Salesman A gets $65 per sale and Saleman B gets $300 and $40 per sale.
Assuming the number of sales to take them both to the same amount is x, the relevant formulas would be:
65x = 300 + 40x
Solving gives:
65x - 40x = 300
25x = 300
x = 300 / 25
= 12 sales
The amount that both of them earned is:
= 65 x 12
= $780
= 300 + 40 x 12
= $780
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a _____is a know size or amount that helps you understand another size or amount
Understanding size through known quantities in mathematics and utilizing conversion factors for unit conversions.
Size is a known size or amount that helps understand another size or amount. It is a visual variable conducive for quantitative attributes in various fields, such as mathematics and science.
In mathematics, known quantities can be used to determine unknown quantities through approximations and comparisons, such as estimating lengths or measurements based on familiar values.
Conversion factors are numbers that relate different units of measure for the same quantity, enabling easy conversions between units.
What is the value of a? 0.0482 − (−0.0091)= a
@gamerbrehyt2 What is the solution set of -9x ≤ 27?
x ≤ -3
x ≥ -3
x ≤ 3
x ≥ 3
Answer:
X_>-3
Hope this helps!!!!
a line contains the points (4,2) and (0,-1). what is the equation of the line. a) y=2x -6
b)y= 3/4x -1
c) y= 1/4x + 1
d) y= 4/3x - 10/3
The equation of the line passing through the points (4,2) and (0,-1) is y = -3/4x + 5.
Explanation:To find the equation of a line passing through two points, we need to find the slope and the y-intercept.
The formula for finding the slope is: m = (y2 - y1) / (x2 - x1)
Using the points (4, 2) and (0, -1):
x1 = 4, y1 = 2x2 = 0, y2 = -1Substituting these values into the formula, we get: m = (-1 - 2) / (0 - 4) = 3 / -4 = -3/4
The slope of the line is -3/4.
Next, we can use the slope-intercept form of the equation of a line, which is: y = mx + b
Using one point and the slope, we can solve for the y-intercept, b.
x = 4, y = 2, m = -3/4Substituting these values into the slope-intercept form, we get: 2 = (-3/4)(4) + b
Simplifying this equation, we find: 2 = -3 + b
Adding 3 to both sides, we get: b = 5
Therefore, the equation of the line is: y = -3/4x + 5
At the veterinarians office, Terri learned that her dog weighed 4 times as much as her cat. Together they weighed 40lbs. How much dis the dog weigh?
Answer:
32 lbs
Step-by-step explanation:
9/5 times 1/9 is what??
The table shows revenue R (in millions of dollars) of a company when it spends A (in millions of dollars) in advertising.
a. Write a linear function that relates the revenue to the advertising cost.
b. What is the revenue of the company when it spends $10 million on advertising?
(Table is attached below)
what is 42.4% as a fraction in simplest form and as a decimal
How do you solve a/6=15/2?
miguel puts photos in an album. the album has 5 right hand and 5 left hand pages. each right hand page holds 4 photos. each left hand pages holds 3 photos. how many photos will fit in the
album?
2 fourth common denominator
What is 983.491 rounded to the nearest whole number?
Each afternoon, at least 40 people buy coffee from a coffee shop. Write an inequality that represents this situation. Let x represent the number of people who buy coffee in an afternoon.
The inequality representation of the number of people who buy coffee in an afternoon x ≥ 40.
What is inequality?An inequality compares "two values, showing if one value less than another or greater than other or simply not equal to another value".
According to question,
Each afternoon, at least 40 people buy coffee from a coffee shop.
Let 'x' represent the number of people who buy coffee in an afternoon.
In order to show inequality representation using above information.
x ≥ 40.
Hence, the inequality representation of the number of people who buy coffee in an afternoon x ≥ 40.
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What is 30,000 written in scientific notation?
A.
3.0 × 10–5
B.
3.0 × 10–4
C.
3.0 × 104
D.
3.0 × 105
A color called "passion purple" is made by mixing 5oz of red paint with 9 oz of blue paint. What percent of passion purple is blue paint? (Round to the nearest percent)
Approximately 64% of the passion purple is blue paint, calculated by dividing the amount of blue paint by the total amount of paint and multiplying by 100%.
Explanation:To determine what percent of passion purple is blue paint, we calculate the ratio of the amount of blue paint to the total amount of paint used to make the color. We have 9 oz of blue paint and a total of 5 oz red paint plus 9 oz blue paint, which equals 14 oz of paint in total. The percentage of blue paint is therefore (9 oz blue paint / 14 oz total paint) × 100%.
Calculating this, we get:
(9 oz / 14 oz) × 100% = 0.642857 × 100% ≈ 64.29%After rounding to the nearest percent, approximately 64% of the passion purple paint is blue paint.
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Brian irons 2/9 of his shirt in 3 3/5 minutes. At this rate, how much of his shirt does he iron each minute?
Brian irons 1/16 of his shirt per minute.
Explanation:The question is about determining the rate at which Brian irons his shirts per minute. Given the fact that Brian irons 2/9 of his shirt in 3 3/5 minutes, we first convert 3 3/5 into an improper fraction, giving us 18/5 minutes. Dividing the fraction of the shirt he irons, 2/9, by the time it takes, 18/5, we get the fraction of the shirt Brian irons per minute.
To find this, we multiply 2/9 by the reciprocal of 18/5, which is 5/18, resulting in (2/9)*(5/18) = 10/162 shirts per minute. Simplifying this fraction, we find Brian irons approximately 0.062 shirts or about 1/16 of his shirt per minute.
This is an example of using rates and fractions in a real-world context to solve problems. Understanding how to manipulate and simplify fractions is crucial for solving these real-world math problems.
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Haley drove 328 miles in 4 hours. At this rate, how far could she drive for 10 hours?
Unit rate ___________ miles per hour
Miles in 10 hour__________
5x88x9x7x3x9x10x31x47=
which is a true statement about 7 and 14
find all the partial products. then add to find the final product draw area model as needed. 32
×23.
How would I solve the following: 328=(5-6x)
the following is an example of what property?
5=x+5
A. Multiplicative Property of Zero
B. Multiplicative Inverse Property
C. Additive Inverse Property
D. Additive Identity Property
E. Multiplicative Inverse Property
F. Commutative Property of Zero
G. Associative Property of Zero
PLZ help with 6th math homework!
what's does y equal to x=3-3y
How do work 3x-2y=3 and 5x-5y=10
John is building a rectangular puppy kennel up against his house using 31 feet of fencing. The side against the house does not need a fence and the side parallel to his house needs to be 15 feet long. Write an equation that models the situation and solve for the length of one of the shorter sides that extend out from the house.
Each of the shorter sides extended out from the house is 8 feet long.
Explanation:So John, needs to make a 3 sided fence. He has 31 feet of fencing to do this with and the single side parallel to the house is 15 feet.
We can write the equation for this problem as:
31=2s+15
Where 31 is the total amount of fencing John has to use, 15 is the one side where the length is given, s is the length of each of the other two sides and because there are two sides we multiply s by 2
Solving this equation gives:
31−15=2s+15−15
16=2s+0
16=2s
162=2s2
8=s