The reasonable estimate is 10.
We can approximate 915.25 to 900.
We can approximate 88.22 to 90.
Then we divide them: [tex]\frac{915.25}{88.22}\approx\frac{900}{90}=10[/tex].
So the reasonable estimate is 10.
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100 is not a reasonable estimate for the operation 915.25 divided by 88.22, as the actual answer is approximately 10.37. While estimates don't provide exact numbers, the difference here is too great for 100 to be considered reasonable, depending on the level of accuracy needed.
Explanation:In mathematics, estimation is commonly used when you do not need the exact answer, but rather a ballpark number close to the actual value. The student's question revolves around whether 100 is a reasonable estimate for the operation 915.25 divided by 88.22. We can check this by performing the actual division: 915.25 / 88.22 equals approximately 10.37. Although this is not exactly 100, it is within an order of magnitude which might make the estimate reasonable depending on the context. Therefore, as a quick estimate, 100 might not be suitable for high-precision contexts.
It's important to understand how estimates work. Their value is not in providing exact numbers, but in giving a quick understanding of a situation, especially when the exact numbers are complex or cumbersome. Here, however, the difference between the actual result (10.37) and the estimate (100) is quite significant, which suggests that 100 might not be a reasonable estimate in this case, depending on the level of accuracy needed.
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Use foil to explain how to find the product of (a+b)(a-b). Then describe a shortcut that you could use to get this product without using foil.
3 is less than y minus 2.
Which of the following shows the correct match of the box numbers and the genotype of the offspring?
Answer:
i forgot i mostly think its the last?
Step-by-step explanation:
what is the simplified form of the following expression 6xyz/2xz
what is the value of x?
X=?
Percy is plotting points on a graph. The ratio of y-value to x-value is 2 to 3 for each point. What will be the x-value of a point with a y-value of 18?
Answer: Value of x = 27
Explanation:
Percy is plotting a coordinate on the graph.
Now the ratio of y-value to x-value is 2 to 3 for each point.
Suppose Value of is 3a and y value is 2a
So, the coordinate of the point is (3a,2a)
Now we find the x value of the coordinate when value of y is 18.
2a is same as 18
2a = 18
a = [tex] \frac{18}{2} [/tex]
a = 9.
Now find the x ordinate
put the value of a=9 into 3a
3a = 3(9) = 27
So the final answer is :
Value of x = 27 when value of y = 18
Temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in degrees Celsius.One day the high temperature in Edison,NJ,was 95 degrees Fahrenheit.What was the high temperature in degrees Celsius
Use the diagram to identify a segment parallel to HE
Two segments are called parallel if they do not intersect each other anywhere.
Here we can see that AB , CD and FG are the three line segments that are parallel to HE.
So answer is AB, CD and FG.
What is the value of 2+3n n=1/2
If the m<7 = 115 degrees, find the measure of <2
Answer:
The measure of [tex]\angle 2[/tex] is 115°.Step-by-step explanation:
Now, assuming those angles are supplementary, then
[tex]m\angle 7+ m \angle 2=180\°[/tex]
Beacuse, sumplementary angles sum 180\°, due to their position on a straight angle.
We know by given that [tex]m \angle 7 =115\°[/tex], replacing this value, we have
[tex]115\°+ m\angle 2= 180\°\\m \angle 2=180\° - 115\°\\m \angle 2= 65\°[/tex]
Therefore, the measure of [tex]\angle 2[/tex] is 115°.
The measure of m<7 is equal to the measure of m<2 by alternate exterior angle. The measure of <2 is 115 degrees.
What are the angles formed by the transverse line cut by the transversal?Angles formed by the transverse line cut by the transversal-
Corresponding angle- Corresponding angle keeps the same position on two different parallel line when cut by transverse. Alternate interior angle- This angle made inside the parallel lines cut by the transversal.Alternate exterior angle- This angle made outside the parallel lines cut by the transversal.Supplementary angle- Angle which made on the same line. The sum of the supplementary angle is equal to the 180 degrees.Given information-
Two parallel lines are shown in the given image (attached below).
Here the measure of angle of 7 is 115 degrees.
The angle 5 is the supplementary angle of the angle 7. Thus,
[tex]\angle 5+\angle 7 =180\\\angle 5+115=180\\\angle 5=180-115\\\angle 5=65[/tex]
Thus the measure of angle 5 is 65 degrees.
Now again the angle 5 is the supplementary angle of the angle 3. Thus,
[tex]\angle 3+\angle 5 =180\\\angle 3+65=180\\\angle 3=180-65\\\angle 3=115[/tex]
Thus the measure of angle 3 is 115 degrees.
The angle 3 and the angle 2 cuts by the same line at the opposite side. Thus, angle 3 is equal to the angle 2.
Hence. the measure of angle 2 is 115 degrees.
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amanda arranged 5 baskets of flowers. she finished at 4:10pm it took her 20 mins to arrange each basket of flowers. at what time did amanda begin
HELP NOW I WILL GIVE BRAINLEST!!!
What type of association does the graph show between x and y?
A scatter plot is shown. Data points are located at 1 and 5, 2 and 4, 3 and 3, 4 and 2, 5 and 1, 6 and 0.
Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association
He’s rightAnswer:
Step-by-step explanation:
Which of the following is another way to explain the Distributive Property?
1) With addition and multiplication, it doesn't matter how you group things.
2) With addition and multiplication, the operands can be moved around.
3) Multiplication distributes over addition
Round each number to the nearest whole number.
What is the best estimate for the sum of 317.38 82.21?
A.
410
B.
400
C.
399
D.
390
How far did Clara walk after getting off the bus? 2 1/2 miles, 1/4 miles, and 1 3/4 miles
John uses 9 eggs to make 5 burritos. How many burritos can he make with 27 eggs?
If five bags of mulch covers 32 square feet, how many square feet could 16 bags covers?
Answer:
102.4 square feet
Step-by-step explanation:
(32/5)*16=102.4
Final answer:
One bag of mulch covers 6.4 square feet. Therefore, 16 bags will cover 102.4 square feet.
Explanation:
To find out how many square feet 16 bags of mulch will cover, we need to first determine the coverage of one bag. If 5 bags cover 32 square feet, then one bag covers 32 ÷ 5, which equals 6.4 square feet. Multiplying the area covered by one bag by 16 bags gives us a total coverage, of 6.4 × 16, which equals 102.4 square feet. Therefore, 16 bags of mulch will cover 102.4 square feet.
Shen took out a loan for 225 days and was charged simple interest at an annual rate of 7.3%. The total interest he paid on the loan was $117. How much money did Shen borrow?
Answer:
$2600
Step-by-step explanation:
Suppose that the cost of drilling x feet for an oil well is C=f(x) dollars. a) What are the units of f'(x)? b) In practical terms, what does f'(x) mean in this case? c) What can you say about the sign of f'(x)? d)Estimate the cost of drilling an additional foot, starting at a depth of 300 ft, given that f'(300)=1000.
The solution according to the given question is provided below in the explanation segment.
According to the question,
The cost of drilling x feet is:
[tex]c(x) = f(x) \ dollars[/tex]
(a) [tex]f'(x) = \frac{df(x)}{dx} \ \frac{dollars}{feet}[/tex]
(b) Throughout the practical terms,
[tex]f'(x)[/tex] represents how many dollars its going to cost one feet.
(c) [tex]f'(x)[/tex] is positive,
The cost of drilling increases as "x" feet increases.
(d) The cost of drilling an additional foot at 300 feet will be [tex]f'(x) \Delta \ x[/tex]
here,
[tex]\Delta x =0[/tex][tex]f'(300) =1000[/tex]then,
= [tex]1000\times 1[/tex]
= [tex]1000 \ dollars[/tex]
If you want drill 1 more feet at 300 feet, its going to cost 100 dollars in one.
Thus the above answer is correct.
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A parasail is 400 feet above sea level m. Write a positive or negative integer that represents the situation
Answer:
[tex]\displaystyle 400[/tex]
Step-by-step explanation:
Anything below sea-level [below 0] is negative [−], and anything above sea-level [above 0] is positive [+].
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A bicycle wheel has a radius of 13 inches.
What is the distance the bicycle will travel after 30 revolutions of the wheel?
Use 3.14 for π .
Enter your answer in the box.
Answer:
2449.2
Step-by-step explanation:
If 3p+4q=8 and 4p+3q=13, what is q equal to?
Write -1/6, 5/3, -5/6 in order from least to greatest.
A. -1/6, -5/6, 5/3
B. -5/6, -1/6, 5/3
C. 5/3, -5/6, -1/6
D. -1/6, 5/3, -5/6
Given ΔABC: ΔDEF, find x.
7.2
11.25
20
18
Answer:
a
Step-by-step explanation:
Jane has a checkbook balance of $68 she then writes two checks for $5 in one 46250 she also deposit $75 she then uses her calculator to determine her new balance in which of the following is a correct series of keys
PLEASE HELP ME!!! Can anyone tell me an easy, step by step way to figure out if a trinomial is a perfect square or not? I have a test tomorrow. Do it like step 1, step 2, ect.
he short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches.
If the perimeter of the rectangle is 22 inches, what is the value of the unknown number?
a0 inches
Organize the following expressions from greatest to least by number of terms:
I. x + 2xyz
II. 3x + y + z
III. 2x2y + x2 − 3x + 4
IV. 9x2yz
Answer:
[tex]2x^2y + x^2 - 3x + 4~ (4)>3x + y + z ~(3)>x + 2xyz ~(2)>9x^2yz~ (1)[/tex]
Step-by-step explanation:
We are given expressions in the question.
Term in an expression:
Each expression constitute terms.A term can be a number, a variable, or a constant multiplied by a variable or variables.Each term in an algebraic expression is separated by a + sign or - sign.We need to find the number of terms in each expression:
1)
[tex]x + 2xyz\\\text{Number of terms}= 2[/tex]
2)
[tex] 3x + y + z\\\text{Number of terms}= 3[/tex]
3)
[tex]2x^2y + x^2 - 3x + 4\\\text{Number of terms} = 4[/tex]
4)
[tex]9x^2yz\\\text{Number of terms} = 1[/tex]
Arranged from greatest to least by number of terms:
[tex]2x^2y + x^2 - 3x + 4~ (4)>3x + y + z ~(3)>x + 2xyz ~(2)>9x^2yz~ (1)[/tex]
A freight train is half a mile long. it travels at a speed of 60 mph. it comes to a tunnel that is 1 mile long. how long will it take the train to pass completely through
Would you just subtract the numerators like normal? Like 7-5 the answer would be 2/9