The estimation of 719 x 26 is 14,000
What is rounding off?Making a number simpler so that its value stays near to its original state is known as rounding. Although less exact, the outcome of rounding off a number is simpler to utilise.
Although the term "rounding" is a general one, we typically use the terms "round up" or "round down" to indicate whether the number has gone up or down after being rounded. The supplied number is said to be rounded up when the rounded number is increased, and it is said to be rounded down when the rounded number is dropped.
Given:
Estimation of 719 x 26
Now, Round off nearest hundred for 719 which is 700
i.e., Round 719 = 700
Now, Round off nearest hundred for 26 which is 20
i.e., Round 26 = 20
Hence, the estimation is 700 x 20 = 14,000.
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Three of the 30 computers are out of service. What percent of the computers are not working?
The percentage of computers not working is 10%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that there are three of the 30 computers are out of service.
The percentage of the computers which are out of service will be calculated as,
P = 3 / 30
P = 0.1
P = 0.1x 100
P = 10%
Therefore, the percentage of computers not working is 10%.
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What expression has the same value as 2(5x + 2) - (3y)2x – 4x
Answer:
10x+6xy+4
Step-by-step explanation:
2(5x+2)-(3y) 2x-4x
By removing the bracket
10x+4-6xy+12xy
10x+4+6xy
10x+6xy+4
Find the slope of the line that contains the points named.
P(1, 2), Q(3, 4)
0-1
01
02
Answer:
If the coordinates of at least two points in the line are given, the slope (m) may be calculated by, m = (y2 - y1) / (x2 - x1
2. Draw the image of RST under the dilation with scale factor 5/3 and center of dilation (2, -2) . Label the image R'S'T' .
Answer:
Step-by-step explanation:
I need to find the measure
Answer:
x = 147°
Step-by-step explanation:
To find x, we have to find the angle measures in the small triangle.
180 - 61 = 119° (sum of adjacent angles on straight line=180)
The other angle measure in the triangle is 28° because they are vertically opposite angles.
We subtract 119° and 28° to find the angle measure next to x.
180 - 119 - 28 = 33° (sum of angles in a triangle=180)
x = 180 - 33
= 147° (sum of adjacent angles on straight line=180)
My friend is hoping to move to your town but is concerned because she doesn’t have a car. Do you think this will present a big problem for her? Use the distance formula in some way to justify your response.
There are many things obstructing the route so yes. I cannot give a detailed answer as I have not been given the "distance formula" sorry
the mean absolute deviation of Mr. Zimmerman's class is 0.46 What does this mean
Mean absolute deviation is the variation in a data set and is the average distance between each value and mean.
It is calculated by finding the difference between each data value and mean and then finding average of that.
So, let data set be x1,x2,x3,x4...xN.
mean of the data set is [tex]\bar{x}[/tex].
then mean absolute deviation will be
[tex]M.A.D=\sum\limits^N_{n=0}\frac{ {x_n-\bar{x}}}{N}[/tex]
Thus, mean absolute deviation shows how much the data vary in the data set.
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rita class has 14 girls and 16 boys how does the ratio 14:30 describe ritas class
Answer:
The ratio shows that there are 14 girls to 30 students in total
Step-by-step explanation:
14 + 16 = 30 that mean that there are 30 students in total, therefore, the ratio shows 14 girls : 30 students
NO LINKS!! Please help me with this probability question Part 1j
Answer:
[tex]\textsf{b)} \quad \text{P}(A\;\text{and}\;B)=\dfrac{1}{5}[/tex]
Step-by-step explanation:
Given:
[tex]\text{P}(A)=\dfrac{1}{4}[/tex]
[tex]\text{P}(B)=\dfrac{1}{4}[/tex]
[tex]\text{P}(A|B)=\dfrac{4}{5}[/tex]
Conditional Probability Formula
[tex]\text{P}(A \cap B)=\text{P}(B)\;\text{P}(A|B)[/tex]
Substitute the given values into the formula:
[tex]\begin{aligned}\implies \text{P}(A \cap B)&=\dfrac{1}{4} \cdot \dfrac{4}{5}\\\\&=\dfrac{4}{20}\\\\&=\dfrac{1}{5}\end{aligned}[/tex]
Is there a proportional relationship between the area and radius of a circle? Explain.
The area of any circle is directly proportional to the square of the radius thus there are proportional relationships between the area of a circle and to the radius of the circle.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
The area of a circle with radius "r" is given as,
A = πr²
Since,π = constant.
Removing constant by proportionality.
A ∝ r²
Hence "The area of any circle is directly proportional to the square of the radius thus there are proportional relationships between the area of a circle and to the radius of the circle".
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Please help I need to find X
Answer:
x=17
Step-by-step explanation:
8x+20 is equal to 11x-31 because l parallel to m.
8x+20=11x-31
3x=51
x=17
Answer:
[tex]\sf x=17^o[/tex]Step-by-step explanation:
L || m
[tex]\sf (8x+20)^o=(11x-31)^o[/tex]
[ Corresponding angles]
[tex]\sf 8x+20=11x-31[/tex]
[tex]\sf 8x-11x=-31-20[/tex]
[tex]\sf -3x=-51[/tex]
[tex]\sf \cfrac{-3x}{-3}=\cfrac{-51}{-3}[/tex]
[tex]\sf x=17^o[/tex]
__________________
Hope this helps!
Have a great day!
Solve-ns16 Which of the following must be true about the inequality and the resulting graph? Select three
options.
ns<-24
n>-24
The circle is open.
The circle is closed.
The arrow points right.
By using the concept of inequality, the correct options are
2nd, 4th and 5th option
What is linear inequation?
Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by [tex]> , < . \geq, \leq[/tex]
A one degree inequation is known as linear inequation.
Here,
The given inequation is
[tex]\frac{-2}{3}n \leq 16[/tex]
Now,
[tex]\frac{-2}{3}n \leq 16\\n \geq -16 \times \frac{3}{2}\\n \geq -24\\[/tex]
Since n is greater than or equal to 24, the arrow will point towards right
The circle will be closed as there is an equality
So the correct options are 2nd, 4th and 5th option
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Complete Question
The complete question has been attached here
Pls help need by today
Answer:
use AAA congurency rule
Step-by-step explanation:
angle a=angle f
angle b=angle e
angle c= angle d(a+b+c=180 when the triangle 2 sides are equal that means 3 is also equal)
If A = (1 , 4) and B = ( 7 , 6), then coordinates of the midpoint of AB are
Answer:
(4 , 5)
Step-by-step explanation:
midpoint formula: (x1+x2/2 , y1+y2/2)
so
(1+7/2 , 4+6/2)
(8/2 , 10/2)
4 , 5
Graph the solution set to the inequality: 8x - 7y ≥ 42
Answer:
How do I show you the graph because I have it
Step-by-step explanation:
reduce 12/16 to simplest terms
Answer: 3/4
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 12 and 16 is 4
Divide both the numerator and denominator by the GCD
12 ÷ 4
16 ÷ 4
Reduced fraction: 3/4
Therefore, 12/16 simplified to lowest terms is 3/4.
Answer:.
Step-by-step explanation:
Lorna Hall’s real estate tax of $2,010.88 was due on December 14, 2017. Lorna lost her job and could not pay her tax bill until February 27, 2018. The penalty for late payment is 612% ordinary interest. (Use Days in a year table.) a. What is the penalty Lorna must pay? (Round your answer to the nearest cent.) b. What is the total amount Lorna must pay on February 27? (Round your answer to the nearest cent.)
a. The penalty Lorna must pay is $26.86.
b. The total amount Lorna must pay on February 27 is $2037.74.
Given that,
On December 14, 2017, Lorna Hall's $2,010.88 real estate tax was due. Because of her job loss, Lorna was unable to pay her taxes until February 27, 2018. Late payment fees are assessed at a rate of 6 1/2% regular interest.
We have to find
a. What is the fine Lorna is required to pay
b. How much will Lorna owe in total on February 27.
First,
We know that,
i=p×r×t
Here,
i is interest.
p is principal amount.
r is rate of interest
t is time.
So, p is $2010.88
r is 6 1/2%
t is 17+31+27= 75 days is 75/365
So,
i= 2010.88×6 1/2×75/365
i= $26.86
The penalty Lorna must pay is $26.86.
Second,
We know that,
Total amount= real estate tax due amount+ Penalty pay.
Total amount= $2010.88+$26.86
Total amount= $2037.74
The total amount Lorna must pay on February 27 is $2037.74.
Therefore, a. The penalty Lorna must pay is $26.86.
b. The total amount Lorna must pay on February 27 is $2037.74.
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what are her monthly payments
The interest she is pay total is $2340.822 when Angela's bank granted her a 6490 loan with a 5 year add-on interest period. 7.26% is the interest rate per year.
Given that,
For the purpose of buying new equipment for her business of antique restoration, Angela's bank granted her a 6490 loan with a 5 year add-on interest period. 7.26% is the interest rate per year.
We have to find will she pay interest at all.
We know that,
i=p×r×t
Here,
i is interest.
p is principal amount.
r is rate of interest
t is time.
So, p is $6490
r is 7.26%
t is 5 years
So,
i= 6490×0.0726×5
i= $2355.87
Therefore, the interest she is pay total is $2355.87 when Angela's bank granted her a 6490 loan with a 5 year add-on interest period. 7.26% is the interest rate per year.
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What is the CLOCKWISE equivalent to a CLOCKWISE rotation by an angle of 62,000 degrees?
The number of rotations is 172.
Explain rotationRotation is a circular movement about the specific axis or point of rotation. The two most prevalent directions for rotation are clockwise and counterclockwise, or anti-clockwise.
Rotation simply means going around a central point. Any point on the shape has a constant distance from the center.
Given, the clockwise rotation is by 62,000°.
To find the number of rotation (n),
[tex]n = \frac{62000}{360}[/tex]
n = 172.2
Therefore, the number of rotations is 172.
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Using the graph below, determine the employee's hourly wage.
Using the graph, the hourly wage of the employees is: $8 per hour.
How to Determine Hourly Wage From a Graph?Slope of a proportional graph is the unit rate between two variables, x and y, and it is calculated as: k = y/x.
To find the unit rate or slope of the graph, use any point on the graph (x, y).
The unit rate of the graph in the image above is the hourly wage of the employees.
Using any point on the line, say, (13, 104), we can find the slope/unit rate. Therefore:
Unit rate/slope, k = 104/13
Unit rate/slope, k = 8
Therefore, the hourly wage is: $8 per hour.
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A random sample of 10 subjects have weights with a standard deviation of 10.9508 kg What is the variance of their weights? Be sure to include the appropriate units with the result
Based on the information given the variance of their weights is 119.9200 kg².
What is variance?
The statistical assessment of the variation in numbers within a data collection is known as variance. In more detail, variance assesses how far apart each number in the collection is from the mean (average) and, consequently, from each other. This symbol is frequently used to represent variation: σ².
Main body:
n=sample size=10
Standard deviation=10.9508 kg
Using this formula
Variance=(Standard deviation)²
Let plug in the formula
Variance=(10.9508 kg)²
Variance= 119.9200 kg²
Hence the variance of their weights is 119.9200 kg².
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Solve the inequality.
3-x≤-19 or -x ≥ 24
x> [?] or x ≤
x≤[
Enter
The solution to the given inequality 3 - x ≤ 19
or - x ≥ 24 is x ≥ -16 or x ≤ -24
What is the solution of the inequality?An inequality is a statement that is of two quantities; one is specifically less than or greater than another. Inequality symbols are:
Less than < Less than or equal to ≤ Greater than > Greater than or equal to ≥ equal to =3 - x ≤ 19
or
- x ≥ 24
3 - x ≤ 19
substract 3 from both sides-x ≤ 19 - 3
- x ≤ 16
divide both sides by -1
x ≤ 16/-1
x ≥ -16
or
- x ≥ 24
divide both sides by -1x ≥ 24/-1
x ≤ -24
In conclusion, the solution to the inequality is given by x ≥ -16 or x ≤ -24
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Ms. Jones is comparing two sets of scores. For Test A, the standard deviation is 7, and for Test B, the standard deviation is 12. This means that
The comparison done by Mr Jones means that Test A of standard deviation 7 is closer to the mean scores and Test B of standard deviation 12 is further apart from the mean score
What is standard deviation?The standard deviation is a statistic measure that expresses how much variance or dispersion there is in a group of numbers.
A high standard deviation suggests that the values are dispersed throughout a wider range,
A low standard deviation suggests that the values tend to be close to the established mean.
A positive value means the standard deviation is above the mean while a negative value means the standard deviation is below the mean
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F(x)=3x^4-4x^3+x^2+6x-2
The rational zeros for F(x)=3x^4-4x^3+x^2+6x-2 are x= -1 and x= 1/3 while the linear factors are (x+1) and (3x-1)
How to determine the rational zeros and linear factors?Synthetic division has to do with dividing polynomials.
The process involves:
Step 1: Set up the synthetic division.
Step 2: The leading coefficient should be brought down to the bottom row.
Step 3: Multiply this by the value just written on the bottom row.
Step 4: Then, add the column created in step 3.
This can be illustrated thus:
Given: f(x) = 3x⁴-4x³+x²+6x-2
3x⁴-4x³+x²+6x-2 = 0
We will try x = -1 in f(x). In this case, replace x with -1. This will be:
= 3x⁴-4x³+x²+6x-2 = 0
Since f(-1)= 0 so (x+1) is a factor
Using synthetic division:
-1)....3....-4....1....6....-2
.........3.....-7...8....-2..|..0
Remainder = 0
Quotient = 3x³ -7x² + 8x -2
For 3x³ -7x² + 8x -2, f(1/3) = 0 so (x- 1/3) is a factor
1/3)....3....-7....8....-2
..........3.....-6...6...|..0
Remainder = 0
Quotient = 3x²-6x+6
= 3(x²-2x+2)
Since there are no more rational zeros or linear factors for x²-2x+2. Therefore, the rational zeros are x= -1 and x= 1/3.
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2. Kira has three dogs, Luna, Cooper, and Daisy.
Cooper weighs 25 pounds less than Daisy. Luna
weighs 20 pounds less than three times Cooper.
If their combined weight is 175 pounds, how
much does Luna weigh?
A. 59 pounds
B. 74 pounds
C. 78 pounds
D. 82 pounds
If their combined weight is 175 pounds, The amount of Luna weight is D. 82 pounds.
How to determine the weight?Let x represent the weight of Cooper
Let x +25 represent the weight of Daisy
Let 3x -20 represent the weight of Luna
Hence,
x + (x +25) + (3x -20) = 175
5x +5 =175
Combine like terms
5x = 175 -5
5x =170
Divide both side by 5x
x = 170/5
x =34
Weight of Luna
3x -20 where x= 34
3(32) -20
= 102 -20
= 82 pounds
Therefore the correct option is D.
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You can add and subtract fractions with different denominators. trite or false
Answer:
False
Step-by-step explanation:
The denominators have to be the same for you to be able to add or subtract a fraction.
How many legs do 40 cows have if 3 cows only have 2
Answer:
154 legs
Step-by-step explanation:
40-3=37
37 times 4 = 148
3 times 2 ° 6
148+6= 154
Answer: 154 legs
Step-by-step explanation: First, multiply 37×4 because there are 37 cows with 4 legs, which gets you 148. Since there are 3 cows with only 2 legs, do 3×2=6. Finally, add 148 and 6 to get 154 legs.
please give brainliest!
log x + 5 log y -4 log z rewrite as a single logarithm
Solution :
[tex]\qquad \sf \dashrightarrow \: log(x) + 5 \: log(y) - 4 \: log(z) [/tex]
[tex]\qquad \sf \dashrightarrow \: log(x) + \: log(y {}^{5} ) - \: log(z {}^{4} ) [/tex]
( a log(x) = log(x^a) )
[tex]\qquad \sf \dashrightarrow \: log( x {y}^{5} ) - log(z {}^{4} )[/tex]
( log (a) + log (b) = log (ab) )
[tex]\qquad \sf \dashrightarrow \: log( \frac{ x {y}^{5} }{z {}^{4} }) [/tex]
( log (a) - log (b) = log (a/b) )
water faucet leaked 3/5 liters of water over the course of 2/5 hours. How many liters would it have leaked in 1 hour please tell me the answer
Answer:
1.5 liters
Step-by-step explanation:
Can someone help pls
Answer:
99
Step-by-step explanation: 99