ESTIMATE BY rounding. show how you estimate
Answers
Estimate by rounding. Show how you estimated
3. Estimate the products of 218 and 6
218 --> 220, 218 is rounded up to 220
6 --> 10, 6 is rounded up to 10
Calculate 220 x 10 = 2200
The estimated product is 2700
4. Estimate the products of 68 and 7
68 --> 70, 68 is rounded up to 70
7 --> 10, 7 is rounded up to 10
Calculate 70 x 10 = 700
The estimated product is 700
5. Estimate the products of 131 and 29
131 --> 130, 131 is rounded down to 130
29 --> 30, 29 is rounded up to 30
Calculate 130 x 30 = 3900
The estimated product is 3900
Related Questions
This is my last one, promise..........
Answers
Answer:
Step-by-step explanation:
b. -2/5 - 4p/3
d. -4p/3 + (-2/5)
Select the factor pair of -100 has a sum of 0?
Answers
Answer:
(2-12)
Step-by-step explanation:
please help me !!! continuity
for the function
Answers
The function f(x) = sin⁻¹x, x ≠ π/4 and sinx, x = π/4 is continuous on[-1, π/4) ∪ (π/4, 1]. There is a removable discontinuity at x = π/4
What is the continuity of a function?A function is said to be continuous if there are no breaks or jumps in the functions
Conditions for continuity of a function
The function exists at x = aThe limit of the function as x approaches a existThe limit of the functions a s x a pproaches a equals the value of the function at x = a.Now, for the given function f(x) = sin⁻¹x, x ≠ π/4 and sinx, x = π/4
We need to determine the interval of continuity, We proceed as follows.
Since f(x) = sin⁻¹x, x ≠ π/4 , we know that the minimum value of x is - 1 and its maximum value is 1.
So, x must lie in the interval (-1, 1) for x ≠ π/4,
Now, when x = π/4 f(x) = sinx. We know that x = π/4 lies in the interval (-1, 1).
But we know that f(x) = sinx at x = π/4. So, there is a removable discontinuity at x = π/4.
So, from the left, f(x) is continuous on the interval [-1, π/4) and from the right, f(x) is continuous on the interval (π/4, 1]
So, combining both intervals, we have f(x) is continous on the interval [-1, π/4) ∪ (π/4, 1] and since f(x) = sinx at x = π/4, there is a removable discontinuity at x = π/4
So, the function f(x) is continuous on[-1, π/4) ∪ (π/4, 1]. There is a removable discontinuity at x = π/4
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Let (-3, 4) be a point on the terminal side of 0. Find the exact values of sin 0, csc 0, and cot 0.
Answers
Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4 using trigonometric ratio.
Trigonometric ratio calculation.
We know that the point (-3, 4) is on the terminal side of the angle θ, and we can use the Pythagorean theorem to find the value of the hypotenuse:
r² = x² + y²
r² = (-3)² + 4²
r² = 9 + 16
r² = 25
r = 5
Now we can find the values of sin θ, csc θ, and cot θ:
sin θ = y/r = 4/5
csc θ = r/y = 5/4
cot θ = x/y = -3/4
Therefore, sin θ = 4/5, csc θ = 5/4, and cot θ = -3/4.
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155 divided by 12 step-by-step explanation
Answers
Answer:
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 12 on the left side and the dividend 155 on the right side like this:
1 2 ⟌ 1 5 5
Step 2:
The divisor (12) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
1 2 ⟌ 1 5 5
Step 3:
Multiply the divisor by the result in the previous step (12 x 0 = 0) and write that answer below the dividend.
0
1 2 ⟌ 1 5 5
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
1 2 ⟌ 1 5 5
- 0
1
Step 5:
Move down the 2nd digit of the dividend (5) like this:
0
1 2 ⟌ 1 5 5
- 0
1 5
Step 6:
The divisor (12) goes into the bottom number (15), 1 time(s). Therefore, put 1 on top:
0 1
1 2 ⟌ 1 5 5
- 0
1 5
Step 7:
Multiply the divisor by the result in the previous step (12 x 1 = 12) and write that answer at the bottom:
0 1
1 2 ⟌ 1 5 5
- 0
1 5
1 2
Step 8:
Subtract the result in the previous step from the number written above it. (15 - 12 = 3) and write the answer at the bottom.
0 1
1 2 ⟌ 1 5 5
- 0
1 5
- 1 2
3
Step 9:
Move down the last digit of the dividend (5) like this:
0 1
1 2 ⟌ 1 5 5
- 0
1 5
- 1 2
3 5
Step 10:
The divisor (12) goes into the bottom number (35), 2 time(s). Therefore put 2 on top:
0 1 2
1 2 ⟌ 1 5 5
- 0
1 5
- 1 2
3 5
Step 11:
Multiply the divisor by the result in the previous step (12 x 2 = 24) and write the answer at the bottom:
0 1 2
1 2 ⟌ 1 5 5
- 0
1 5
- 1 2
3 5
2 4
Step 12:
Subtract the result in the previous step from the number written above it. (35 - 24 = 11) and write the answer at the bottom.
0 1 2
1 2 ⟌ 1 5 5
- 0
1 5
- 1 2
3 5
- 2 4
1 1
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 155 divided by 12 calculated using Long Division is:12
11 Remainder
For an investment of 26,245, a quarterly statement reports that the account is 26,292. The statement reports that for the same quarter, the rate of return of the investment was - 0.02%. Given the information regarding the investment quarterly activity, does the reported rate of return seem reasonable?
Answers
No. The reported return rate appears lower than expected.
Rate of returnsTo determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.
First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.
Then, we can use the following formula to calculate the expected rate of return:
Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1
Plugging in the given values, we get:
n = 1 (since we are only given information for a single quarter)
Initial investment = 26,245
Ending value = 26,292
Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%
Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.
Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.
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The center of a circle is located at (2, -1). A point on the circle is located at (-3,-1). What is the approximate circumference of the circle?
A16 units
B31 units
C79 units
D100 units
Answers
Answer:
您同性恋
Step-by-step explanation:
Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Answers
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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3p + 10 = 2p + 21
a. 15
b. 17
c. 11
d. 21
Answers
Answer:
c. 11
Step-by-step explanation:
3p + 10 = 2p + 21
Subtract 2p from both sides.
3p - 2p + 10 = 2p - 2p + 21
Simplify.
p + 10 = 21
Subtract 10 from both sides.
p + 10 - 10 = 21 - 10
Simplify.
p = 11
Answer: c. 11
Answer:
c.11
Step-by-step explanation:
3+10=2+21
3+10−10=2+21−10
3=2+11
3−2=2+11−2p
=11
hope this helps
have a nice day
Jarett made $27.04 and his friend made twice as much.How much was there total pay ?
Answers
Which equation below does not show equivalent expressions when y = 2
Answers
The equation below that does not show equivalent expressions when y = 2, is 5y + 25 = 5 ( y + 4 ).
option C.
Which equation does not follow the equivalent expression?
The equation below that does not show equivalent expressions when y = 2, is determined by solving for y in all the given equation.
y + 4y = y ( 1 + 4 )
y + 4y = y + 4y
5y = 5y
y = y
y + y + y = 3y
3y = 3y
y = y
5y + 25 = 5 ( y + 4 )
5y + 25 = 5y + 20
5y + 5 = 5y
5 ( y + 1 ) = 5y
y + 1 = y
2 (y + 2 ) = 2y + 4
2y + 4 = 2y + 4
2y = 2y
y = y
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m
Enter the number that belongs in
the green box
Answers
Answer:
m<C = 180 - (90+32)
= 180 - 122
= 58°
a line parrell to y=5x+9 and intersects the point (-2,-3). What is the equation of this parrell line
Answers
Answer:
\(y - 5x = 4\)
Step-by-step explanation:
\(y = 5x + 9 \\ m1 = 5 \\ since \: the \: line \: is \: parallel \: m1 = m2 \\ y - y1 = m(x - x1) \\ y - ( - 3) = 5(x - ( - 2)) \\ y + 4 = 5(x + 2) \\ y + 4 = 5x + 10 \\ y - 5x = 10 - 6 \\ y - 5x = 4\)
-5n - 5 = -2 (2n - 2)
Answers
Answer:
n = +1
Step-by-step explanation:
Hope this helps
Answer:
im pretty sure -9 is the answer
5. My sisters were having a
lemonade stand. They
made 2 gallon of
lemonade. If they divided it
equally into 6 cups, how
much lemonade was in
each cup?
Answers
there are 3 cups of lemonade in each cup
help me please
dont even need a full explanation
Answers
5x + 10 = 3x + 5
5x - 3x = 5 - 10
2x = -5
X = -5/2
How do I do this?????
Answers
Step-by-step explanation:
5÷ 6
7/15
Thanks me later ☺️
ms. richardson is going to make a concrete path that will go along three sides of a rectangular lawn. she has enough concrete for 175 square feet. she wants to find , the width, in feet, of the path that would use all of the concrete. This situation is modeled by the equation below. 175 = 45x + x^2 To the nearest hundredth of a foot, what will be the width of the path?
Answers
The width of the path will be approximately 3.38 feet to the nearest hundredth of a foot.
We can solve for x by using the quadratic formula.
First, we need to rearrange the equation to the standard form:
x² + 45x - 175 = 0
Now we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a = 1, b = 45, and c = -175
x = (-45 ± √(45² - 4(1)(-175))) / 2(1)
x = (-45 ± √(45 + 700)) / 2
x = (-45 ± √(2025 + 700)) / 2
x = (-45 ± √(2725)) / 2
x = (-45 ± 51.76) / 2
So the two solutions for x are x = (-45 + 51.76) / 2 = 3.38 and x = (-45 - 51.76) / 2 = -99.38.
Since the width will not be negative. Therefore, the width of the path will be approximately 3.38 feet to the nearest hundredth of a foot.
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Answer:
The answer is B: 3.60ft
Step-by-step explanation:
Zoey needs to order some new supplies for the restaurant where she works. The restaurant needs at least 711 glasses. There are currently 281 glasses. If each set on sale contains 10 glasses, use the drop-down menu below to write an inequality representing s, the number of sets of glasses Zoey
Answers
So the number of sets of glasses she needs to order can be represented by the inequality:
s >= 430/10 = 43
This means that Zoey needs to order at least 43 sets of glasses to meet the minimum requirement.
s >= 72.1
The inequality represents the minimum number of sets of glasses Zoey needs to order to meet the restaurant's requirement of at least 711 glasses. The calculation is as follows:
711 glasses - 281 glasses = 430 glasses needed
430 glasses / 10 glasses per set = 43 sets needed
So, the minimum number of sets Zoey needs to order is 43 sets, which can be rounded up to the nearest whole number, which is 44 sets.
Therefore, s >= 44 sets.
what’s the answer to the riddle?? please help :(
Answers
Answer:
is this middle school math? high school or college?
Step-by-step explanation:
I thought it was a question o-o
Find the equations of the lines that pass through the following pairs of points: (3,-5) and (2, -1)
Answers
An equation of the lines that pass through this pair of points (3,-5) and (2, -1) is equal to y = -4x + 7.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-1 + 5)/(2 - 3)
Slope (m) = 4/-1
Slope (m) = -4.
At data point (2, -1) and a slope of -4, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - (-1) = -4(x - 2)
y + 1 = -4x + 8
y = -4x + 7
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At the beginning of the day the stock market goes up 50 1/2
points and stays at this level for most of the day. At the end of the day the stock market goes down 90 1/4
points from the at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day?
Answers
Answer:
78.7%Step-by-step explanation:
To calculate the change of a stock price
Given that the
old price= 50 1/2
new price= 90 1/4
We simply or basically subtract the new price from the old price and divivde the result by the old price
mathematically we have
change= (new price - old price)/old price
let us convert from mixed fraction to proper fraction
old price= 50 1/2= 101/2
new price= 90 1/4= 361/4
change= (361/4- 101/2)/101/2
change= (361-202/4)/101/2
change=159/4/101/2
change= (159/4)*(2/101)
change= 159/202
change= 0.787
change in percent = 78.7%
a water snake in a well is 30 M below the ground level its lights 20 m upward and then slips down 10 M how far it is from the ground level
\( - 30 - + 20 - - 10\)
Answers
If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.
If somebody sells TVs and the formula they use is A = 800 + 200t and A = her total income and t = the amount they sell, how much money will they receive if they sell 9 TVs?
Answers
Answer:
$2600
Step-by-step explanation:
It is given that the variables:
A = total income
t = amount of TV they sell.
It is also given that they sold 9 TVs. Plug in 9 for t in the given equation:
A = 800 + 200t
A = 800 + 200(9)
A = 800 + 1800
A = 2600
$2600 is the total amount they will receive if they sell 9 TVs.
~
Which expression is equivalent to 6(7x - 9)?
Answers
Answer:
42x - 54 I think
Step-by-step explanation:
Just simplify it
How could you correctly rewrite the equation 4(10 + 5) = 6 (12 - 2) using the distributive property?
Answers
Answer:
40+20 = 72-12 is the simplified version.
Step-by-step explanation:
Your equations
4(10+5) = 6(12-2)
Multiply 4 by 10 and 5 for the "4(10+5)"
Multiply 6 by 12 and -2 for the "6(12-2)"
40+20 = 72-12 is the simplified version.
If you want to solve/verify:
40+20 = 72-12
60 = 60
The nanswer is correct.
Answer:
40 + 20 = 72 - 12
Step-by-step explanation:
The number outside the parenthesis will be multiplied to both numbers inside the parenthesis, making the equation
(4 * 10) + (4 * 5) = (6 * 12) + (6 * (-2))
simplifying the equation...
40 + 20 = 72 - 12
32. Jimmy is putting down carpet in a square-shaped room. The floor has an area of
90 square feet. Jimmy knows that the side length of the floor must be √90 feet.
Which statement about the value of √90 feet is true?
A. √90 feet is between 9 feet and 10 feet but is closer to 9 feet.
B. √90 feet is between 9 feet and 10 feet but is closer to 10 feet.
C. √90 feet-45 feet
D. √90 feet = 8100 feet
Answers
Answer:
The correct answer is A.
Step-by-step explanation:
The correct answer is A.
To find the length of one side of the square, we need to take the square root of the area. Therefore, the square root of 90 is approximately 9.49 feet. Since this value falls between 9 feet and 10 feet, but is closer to 9 feet, the statement "√90 feet is between 9 feet and 10 feet but is closer to 9 feet" is true. So, Jimmy should cut the carpet to 9.49 feet to fit the square-shaped room.
What is the term-to-term rule for this sequence? 64, 32, 16, 8, 4
Answers
Answer:
Divide by two is the term-to-term rule.
Step-by-step explanation:
64/2=32
32/2=16
16/2=8
8/2=4
The following figure is made of 2 triangles.
7
А
5
B
4
Find the area of each part of the figure and the whole figure.
Answers
The area of each part of the figure is Triangle B = 10 square units and Triangle A = 17.5 square units. The area of the whole figure is 27.5 square units.
What is area?A two-dimensional surface, like the surface of a shape or object, can be measured in terms of area. Usually, it is expressed in square quantities like square metres (m2) or square feet (ft2). By multiplying the length and breadth of a rectangle, or by applying particular formulas for other forms, such as base times height divided by two for a triangle, one can determine the area of a shape.
From the given figure we observe that the base of the slanted figure has true base length of 5 units.
Thus, for triangle B the area is:
Triangle B = 1/2(b)(h)
Triangle B = 1/2(5)(4) = 10 square units.
For triangle A we have:
Triangle A = 1/2(5)(7) = 35/2 = 17.5 square units.
The area of the whole figure is:
A = 10 + 17.5 = 27.5 square units.
Hence, the area of each part of the figure is Triangle B = 10 square units and Triangle A = 17.5 square units. The area of the whole figure is 27.5 square units.
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HELP MEHHHH! I WILL MARK YOU BRAINLIEST! I NEED AN EXPLANATION
Answers
This illustrates the rule of large numbers, according to which the sample mean approaches the population mean as the sample size rises.
what is probability ?The likelihood or chance of an occurrence occurring is measured by probability. It is expressed as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty of the occurrence. Additionally, probabilities can be stated as percentages, with 0% denoting an improbable event and 100% denoting a specific event. By dividing the number of favourable outcomes by the total number of potential outcomes, the probability of an occurrence is determined.
given
Since there are six potential outcomes and only one of them is a 5, the theoretical probability of rolling a 5 on a fair die is 1/6.
Mya's experimental chance of rolling a 5 after 100 trials is 25/100, which can be expressed as 1/4. Her experimental probability after 200 attempts is 30/200, which can be expressed as 3/20.
This implies that the experimental probability moves closer to the theoretical probability as the number of trials rises.
In other words, Mya's experimental findings get closer to the anticipated theoretical probability the more times she rolls the die.
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The complete question is :- Communicate and Justify Mya rolls a fair die and counts the number of times she rolls a 5. She rolls a 5 on 25 of the first 100 trials. She rolls a 5 on 30 of the first 200 trials. Compare the experimental probability to the theoretical probability after 100 trials and 200 trials. What do you notice? Explain.