a step on a stairway is at least 8 inches high. Write and solve an inequality to represent the minimum number of steps between floors that are 10 feet apart
Answer:
If a step is "at least" 8 inches high, the minimum number of steps is theoretically 1, because that 1 step could be a 10-foot high step.
Step-by-step explanation:
Experts/ace/geniuses helpp
At a movie, 1/4 of the people in the theater were men, 5/8 were woman l, and the rest were children. If there were 100 more woman than children, what was the total number of people in the theater.
Cereal is packaged in a box shaped like a rectangular prism with a base 7.5 by 2 inches, and a height of 10 inches. Manufacturing each box requires 10% more cardboard than the box’s surface area. How much cardboard is needed to make each box
Determing wheter two ratios form a proportion
Shryia read a 480 page long book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 pages left to read. Let P(t) denote the number of pages to read P as a function of time t (measured in hours). Write the function's formula.
The correct answer is P(t)=-52t+480. Hope this helped.
The function representing the number of pages Shryia has left to read at a given time is P(t) = 480 - 52t, considering she reads at a constant rate of 52 pages per hour.
Explanation:Shryia read a 480-page book in one session at a constant rate. Since P(t) represents the number of pages she has left to read at time t, after 1.5 hours, she had 402 pages left. To find the rate at which she reads, we can see that in 1.5 hours, she read 480 - 402 = 78 pages. Thus, her reading rate is 78 pages per 1.5 hours, or 52 pages per hour.
At time t=0, the book is completely unread, meaning P(0) = 480 pages. Her reading rate is constant, so the function is linear: for every hour that passes, 52 more pages are read. Therefore, the number of pages left, P(t), decreases by 52 for each hour. The function P(t) can then be defined as:
P(t) = 480 - 52t
Melissa had 56 pens and 37 pencils thanks. How many pencils did Melissa have?
Please Help!!
In 1802. Albert Mathieu Favier imagined building a tunnel for horse drawn carriages underneath the English Channel. If the tunnel was 32 miles long and the carriage traveled 12 miles per hour, how long would it take to travel the length of the tunnel?
A. 2 hours and 40 minutes
B. 2 hours and 10 minutes
C. 3 hours and 10 minutes
D. 3 hours and 7 minutes
Rebekah wants to read a certain number of pages each day during summer vacation. Today she reads 204 pages, which is 136% of her goal. How many pages does Rebekah want to read each day?
which number is irrational? A.0.7 repeating B. √3 C. 4/3 D. 3.14
How many square feet of outdoor carpet will we need for this hole?
if the triangle PQR sin(P)=0.2,sin(R=)0.4 and r=22 what is length of p
Answer:
Thank you
Step-by-step explanation:
Penélope bakes pretzels. She salts 3/8 of the pretzels. Write a fraction that is equivalent to 3/8.
In a right triangle a=2b+4 and all side lengths are integers. The possible values for b are 4cm, 5cm, 8cm,10cm,12cm,and 24cm. Determine the values for a,b, and c. For the right triangle, a is ______cm long, b is _________cm long, and c is __________cm long. Create a similar triangle with different side lengths. Draw and label the side lengths.
I don’t really get it please help me out!
what is the common ratio of the geometric sequence below? -96,48, -24, 12, -6,..
The common ratio of the given geometric sequence is [tex]-\frac{1}{2}[/tex], as each term is half the value and opposite in sign of the previous term.
The common ratio of a geometric sequence can be found by dividing any term by the previous term. In the given sequence, -96, 48, -24, 12, -6,..., let's divide the second term by the first term:
Common ratio (r) = [tex]\frac{48 }{-96} = -\frac{1}{2}[/tex]
This ratio will be consistent throughout the sequence. For example, dividing the third term by the second term also gives [tex]-\frac{24 }{ 48} = -\frac{1}{2}[/tex], confirming that the common ratio is indeed [tex]-\frac{1}{2}[/tex].
solve on the interval (0,pi)
1+cosθ=((sqrt3)+2)/2
Which of these examples is an error of addition by one?
A. 46,371 + 32,618 = 78,989
B. 38,273 + 51,425 = 89,798
C. 13,246 + 84,631 = 97,877
D. 52,634 + 25,145 = 77,779
Answer: B. 38,273 + 51,425 = 89,798
Step-by-step explanation:
Let's check all the sum by adding their corresponding places.
A. [tex]46,371 + 32,618 = 78,989[/tex]
Its correct.
B. [tex]38,273 + 51,425 =89698\neq 89,798[/tex]
Here when we add the digits on the hundredth place we get 6 not 7.
Hence, it is the example of an error of addition by one.
Its correct.
C. [tex]13,246 + 84,631 = 97,877[/tex]
Its correct.
D. [tex]52,634 + 25,145 = 77,779[/tex]
Its correct.
Q.8 What is the tail length?
The tail length of an alligator with a body length of 3.6 feet is approximately 3.2 feet.
The problem states that the alligator's tail length, [tex]\(T\)[/tex], varies directly with its body length, [tex]\(B\)[/tex]. When two quantities vary directly, we can express this relationship using a proportionality constant, often denoted as [tex]\(k\)[/tex]. In this case, we have:
[tex]\(\frac{T_1}{B_1} = \frac{T_2}{B_2}\),[/tex]
where [tex]\(T_1\) and \(B_1\)[/tex] are the initial tail length and body length, and [tex]\(T_2\) and \(B_2\)[/tex] are the final tail length and body length.
Given that an alligator with a body length of 5.4 feet has a tail length of 4.8 feet, we can use this information to find [tex]\(k\):[/tex]
[tex]\(\frac{4.8}{5.4} = \frac{T_2}{3.6}\).[/tex]
Now, solve for [tex]\(T_2\):[/tex]
[tex]\(T_2 = \frac{4.8}{5.4} \times 3.6\).[/tex]
[tex]\(T_2 \approx 3.2\) feet.[/tex]
So, the tail length of an alligator with a body length of 3.6 feet is approximately 3.2 feet.
The tail length is 3.2 feet. This result confirms the direct variation between tail length and body length, where [tex]\(T\)[/tex] is proportional to [tex]\(B\)[/tex] with a proportionality constant of approximately 0.8889 (4.8/5.4).
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Find the derivative of y with respect to x. y= ((lnx)/(2+lnx))
A triangle shaped paper’s height is 18 cm and width is 10 cm. Find the hypotenuse of the paper.
The hypotenuse of the paper is 2√106 cm.
What is Pythagorean theorem ?
Hypotenuse ² = Height ² + Width ²
Know more about Pythagorean theorem,
The Pythagorean Theorem, also known as the Pythagoras Theorem, explains the relationship between the three sides of a right triangle. According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle. Pythagorean triangles are the name given to the sides of a right triangle. Let's learn about Pythagorean theorem, formula, derivation and examples in detail.
The history of the Pythagorean theorem goes back to the ancient Babylonian and Egyptian era. The Greek mathematician Pythagoras of Samos introduced the Pythagorean theorem. Pythagoras was born in 570 BC. The Greek philosopher studied with other monks and formed a group of people; he finally stated the Pythagorean theorem. Even before Pythagoras, the ratio was shown on a Babylonian tablet 4000 years ago, but the theorem is published under the name of Pythagoras.
Here given, a triangle shaped paper’s height is 18 cm and width is 10 cm.
We want find the hypotenuse of the paper ?
Here, height of the paper = 18 cm and width of the triangle = 10 cm.
[tex] = {18}^{2} + {10}^{2} \\ = 324 + 100 \\ = 424[/tex]
So,
[tex]hypotenuse = \sqrt{424} \\ = \sqrt{2 \times 2 \times 2 \times 53} \\ = 2 \sqrt{2 \times 53} \\ = 2 \sqrt{106} \: cm[/tex]
Therefore,the hypotenuse of the paper is 2√106 cm.
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Honi is looking at a map with a scale of 1 4 in. = 20 miles. She measured the distance from Niceville to Live Oak as 2.5 in. She found the actual distance between Niceville and Live Oak by following these steps:
Step 1: Set up a proportion 1 4 20 = 2.5 x
Step 2: Cross multiply (20)(2.5) = ( 1 4 )(x)
Step 3: Simplify 50 = 1 4 x
Step 4: Solve for x, x = 250 miles
Which step, if any, contains a mistake?
A) Step 1
B) Step 2
C) Step 3
D) Step 4
The mistake is in Step 4 of Honi's calculation. The correct actual distance between Niceville and Live Oak should be 200 miles instead of the 250 miles that was stated in the original steps.
Explanation:The student's question pertains to setting up and solving a proportion to find the actual distance between two places using a map scale. The map scale given is ¼ in. = 20 miles. Honi measures a distance of 2.5 inches on the map. The steps to find the actual distance, using a proportion, should be evaluated for accuracy.
To set up the proportion correctly, we use the ratio of the map scale and compare it to the ratio of the measured distance to the actual distance (x). The correct proportion should be: (1/4 in.) / 20 miles = 2.5 in. / x miles.
Step 1 is correct, setting up the proportion based on the scale and measured distance. Step 2 involves cross-multiplying to find the relationship between the scale and the actual distance, which should yield (1/4) * x = 2.5 * 20. Step 3 should simplify this equation correctly, which would give us x = 2.5 * 20 * 4 = 200 miles. Therefore, Step 4 has a mistake because the solution provided should be 200 miles, not 250 miles as given.
find the values of x that satisfy
The point (5, -2) is rotated 90° about the origin. Its image is
a.(-2, 5)
b.(2, 5)
c.(-5, 2)
A computer screen consists of small rectangular dots called pixels. Find the number of pixels on a screen that has 600 rows with 700 pixels in each row. PLEASE HELP.
Carter has 60 balloons. 4/12 of the balloons are black, and 3/12 of the balloons are white. The rest of the balloons are red. Which series of calculations shows how many red balloons Carter has?
Answer: 25, mark brainlist
Step-by-step explanation:
(a) A convex, 11-sided polygon can have at most how many obtuse interior angles? (b) A convex, 11-sided polygon can have at most how many acute interior angles?
Please provide an explanation!
32 15' 66" is the same as _____. Round to the nearest hundredth of a degree. Answer:
Answer:
32.27
Step-by-step explanation:
A farmer raises chickens and cows. There are 34 animals in all. The farmer counts 110 legs on these animals. How many of each animal does the farmer have?
Yolanda closed on a 20 year home loan for $83,000. she chooses to buy only 1 point at closing. by buying a point at her closing, yolanda reduced her monthly payment by $7.63. based on the fact that yolanda chose to buy a point at closing, what would you infer is the minimum amount of time that she will own the home? A) 6 Years B) 11 Years C) 16 Years D) 20 Years
Minimum amount of time that Yolanda will own the home is for at least 11 years
What is Division?A division is a process of splitting a specific amount into equal parts.
To calculate the minimum amount of time that Yolanda will own the home
We need to determine how long it will take for the monthly savings to equal the cost of the point.
One point is equal to 1% of the loan amount, so Yolanda paid $830 (1% of $83,000) at closing for the point.
To find out how many months it will take for the monthly savings to equal the cost of the point, we divide the cost of the point by the monthly savings:
$830 ÷ $7.63 = 108.77 months
Since there are 12 months in a year, 108.77 months is 11 years.
Therefore, we can infer that Yolanda will own the home for at least 11 years
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