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
Maria knows there are 24 hours in one day and seven days in one week so she figured out that there are 168 hours and 1 week is her answer reasonable explain why or why not
The power of 3 that are in range from 3 to 1000
(Need help on number 2)
To find the powers of 3 that lie within the range from 3 to 1000, start with 3 to the power of 1 and continue to increment the exponent until the resulting power of 3 is greater than 1000. The sequence of powers of 3 in this range is 3, 9, 27, 81, 243, and 729.
The student is asking about finding the powers of 3 that are within the range from 3 to 1000. This is a mathematics question that involves exponents and integer powers. To find the powers of 3 within this range, we'd start with 31 (which is 3), and increment the exponent by 1 until the result exceeds 1000.
So we would calculate 32 (which is 9), then 33 (which is 27), and so on, until we reach a power of 3 that is greater than 1000. This sequence is 3, 9, 27, 81, 243, 729, and stops there because the next power, 37 or 2187, is beyond 1000.
Show two ways that six people can share an 8-segment chewy fruit worm. In each case, how many segments does each person get.
Final answer:
Six people can share an 8-segment chewy fruit worm by each person having 1 segment with 2 segments left over, or by each person having 2 segments with no segments left over.
Explanation:
There are two ways that six people can share an 8-segment chewy fruit worm:
Each person can have 1 segment, and there will be 2 segments left over.
Each person can have 2 segments, and there will be no segments left over.
In the first case, each person will get 1/6 of the worm. In the second case, each person will get 2/6 or 1/3 of the worm.
The price of an item has been reduced by 20%. The original price was $45. What is the price of the item now?
3x+1/5y=7. Solve for y.
To solve for y in the equation 3x + 1/5y = 7, subtract 3x from both sides, then multiply by 5, resulting in y = 35 - 15x.
To solve the equation [tex]3x + \frac{1}{5}y = 7[/tex] for y, we need to isolate y on one side of the equation.
Subtract 3x from both sides of the equation to get the term with y by itself:
[tex]\frac{1}{5}[/tex]y = 7 - 3x
Multiply both sides of the equation by 5 to solve for y:
y = 5(7 - 3x)
Simplify the right-hand side:
y = 35 - 15x
This equation now represents y in terms of x.
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:
sara has 18 crayons.max has 19 crayons. how many more crayons do they need to have 50 crayons altogether
How do you solve a/6=15/2?
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
which is a true statement about 7 and 14
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)
You baked 42 chocolate cupcakes and 28 red velvet cupcakes. You package them in boxes that have the same ratio of chocolate to red velvet as the total cupcakes. How many red velvet cupcakes are in a box that has 24 chocolate cupcakes?
If a jogger runs 2 miles and burns 185 calories, how many calories would he burn jogging 3 miles
The number of calories when he burns jogging 3 miles will be 277.5 calories.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
If a jogger runs 2 kilometers and burns 185 calories, he or she.
Then the number of calories that jogger can burn per mile is given as,
⇒ 185 / 2
⇒ 92.5 calories per mile
The number of calories when he burns jogging 3 miles will be
⇒ 92.5 x 3
⇒ 277.5 calories
The number of calories when he burns jogging 3 miles will be 277.5 calories.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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Solve the equation. 3(x – 9) = 30
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.
Learn more about inequality here
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find all the partial products. then add to find the final product draw area model as needed. 32
×23.
Kareen correctly answered 85% of the questions on his last math test. If he missed 6 problems, how many questions were on the test?
How would I solve the following: 328=(5-6x)
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 42.4% as a fraction in simplest form and as a decimal
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__________
write a word problem that involves finding the volume of a box draw the box solve the problem and explain how you found your answer
To solve for the volume of the soap box, the formula V = length x width x height is used, yielding a volume of 36 cubic inches, which matches the expected size for such an item.
Let's create a word problem: Susan has a small business making handmade soaps which she packages in rectangular boxes. She needs to calculate how much space her soaps will take during shipping. If one soap box has a length of 6 inches, a width of 3 inches, and a height of 2 inches, what is the volume of the soap box?
To solve this problem, we will use the formula for the volume of a rectangular box, which is V = length x width x height.
Plugging in the dimensions Susan provided, the volume V is calculated as 6 * 3 * 2, which equals 36 cubic inches.
Therefore, each soap box occupies a space of 36 cubic inches.
It's always important to check units to ensure the answer is reasonable. Since we measured in inches and are looking for a volume in cubic inches, the result of 36 cubic inches is appropriate for the size of a soap box.
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.
ten times the quotient of 104104104 and 88
9/5 times 1/9 is what??
how many times can 15 go into 21 BTW DIVIDING
what's does y equal to x=3-3y
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?
Find the value of the variables.
Options
A. x = 23, y = 134
B. x = 67, y = 46
C. x = 67, y = 134
D. x = 23, y = 46