Answer:
C
Step-by-step explanation:
The actual average time = 81.5 minutes
The correct answer is an option (B) 81.48 minutes
What is percent error?"percent error = [(estimated value - actual value) / (actual value)] × 100"
For given example,
percent error (e) = 3%
estimated average time spent (x) = 84 minutes
We need to find the actual average time spent (y)
Using the formula of percent error,
⇒ e = [(x - y)/y] × 100
⇒ 3 = (84 - y)/y × 100
⇒ (84 - y)/y = 3/100
⇒ (84 - y) / y = 0.03
⇒ 84 - y = 0.03y
⇒ 84 = 0.03y + y
⇒ 84 = (1.03)y
⇒ y = 81.5 minutes
Therefore, the actual average time = 81.5 minutes
The correct answer is an option (B) 81.48 minutes
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A teacher has an annual income of $40,400. The income tax the teacher has to pay is 6.5%. What is the amount of income tax the teacher has to pay?
4. Triangle TRY was reduced to form triangle PIE.
What number best represents the scale factor used
to change triangle TRY to triangle PIE?
OON
T
A
X
1987:6 5 4 3 2 -10
0
2 3 4 5 6 7 8
2
I
-5
- ?
8
A group of 12 adults and 26 children go to a theme park.
The total cost of tickets was £1804.80
And adults ticket costs £51.60
Find the cost for a child
Answer:
45.56923076923077
Step-by-step explanation:
Work out 51.6 x 12 which is 619.2 and subtract that from 1804.80 then x your answer which is 1,184.8 and divide by 26 to get your answer which is 45.569....
How many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches, lengths 3 1/3 inches, and height 2 1/3 inches?
Answer:
560 cubes
Step-by-step explanation:
width: 8 cubes
length: 10 cubes
height: 7 cubes
volume: 8*10*7=560
divided l, w, and h by 1/3 to get them in cubes
Answer:
Step-by-step explanation:
The awnser is multiply by 9 then multiply by 2
In which quadrant does 694 lie?
Answer: C. quadrant l
Step-by-step explanation:
Angle 694° lies Quadrant IV which is correct option (D)
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values
What is the quadrant?A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.
For Quadrant I : the value of x and y both are positive ( +,+ )
For Quadrant II : the value of x is negative and y is positive ( -,+ )
For Quadrant III : the value of x is negative and y is negative ( -, - )
For Quadrant IV : the value of x is positive and y is negative ( +, - )
Locate the quadrant of the angle.
If the angle is greater than 360°,
Subtract 360° until the angle is less than 360°.
⇒ 694 - 360
⇒ 334°
Hence, angle 694° lies Quadrant IV
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Suppose a point at (2,3) is translated to (7, -1). What rule describes this translation
a bat and a baseball costs $1.10. the bat costs $1 more than the ball. how much does the ball cost?
Answer: 0.10
Step-by-step explanation:
because u said that the bat was 1.00 more than the ball so the ball would be 0.10
8 oranges cost $.78. How much will he spend to buy 40 oranges
Answer:
$3.90
Step-by-step explanation:
To get from 8 to 40, you multiply by 40/8, so you have to do the same to $.78. .78 * 40/8 is equal to 3.9, which would be $3.90.
Which of the coordinate points below will fall on a line where the constant of proportionality is 1/3? Select all that apply.
A) (5,8)
B) (3,1)
C) (9,3)
D) (12,4)
E) (18,6)
Answer:
The answer is B,C,D and E
The points that show the proportionality rate 1/3 are (3, 1), (9, 3), (12, 4) and (18, 6).
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
We have constant of proportionality is 1/3.
And the proportionality is represented as x/y = k, where x and y are two expressions and k is constant.
So, x / y = 1/3
A) (5,8)
x/y = 5/8 ≠ 1/3
B) (3,1)
x/y = 1/3
C) (9,3)
x/y = 3/9 = 1/3
D) (12,4)
x/y = 4/12 = 1/3
E) (18,6)
x/y = 6/18 = 1/3
Therefore, B, C, D and E are the answers.
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Using the common denominator, what is an equivalent fraction for 2/7
?
Answer:
The fraction 4/14 is equal to 2/7 when reduced to lowest terms. To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (2/7) by the same interger number, ie, multiply by 2, 3, 4, 5, 6
Find the measure of each angle
Answer: x=36°
Step-by-step explanation:
The four interior angles of a quadrilateral always equal 360°, so:
(x+16)+(4x-8)+(4x-8)+x=360
Combine like terms:
360=10x+0
360=10x
36=x
Answer:
In image below
Step-by-step explanation:
help i am almost done
Sid made 60% of the free throws that he attempted. If he attempted 40 free throws at basketball practice, how many did he make?
Answer:
iON know
Step-by-step explanation:
Olivia wants to know the proportion of students at her school who use a
certain social media app. She interviews a random sample of students at
her school. She finds that 30% of the students in the sample use the app.
What conclusion can she draw from the sample?
А
It is likely that about 30% of the students at her school use the app.
B Exactly 30% of the students at her school use the app.
Every random sample would find that 30% of the students use
the app
It is likely that 30% of the students at her school were selected for
the sample.
Answer:
A
Step-by-step explanation:
Random sampling is a sampling method where each sample has an equal chance of being chosen. The random sample chosen is meant to be an unbiased representation of the population.
If 30% of the sample uses the app, it means that 30% of the population are likely to use the app
Dennis recently purchased an old car for $1000, and he knows that each year, the car’s value will increase by 2% each year. What is the value of the car after 20 years?
find the cube root of 27a
Answer:
3a
Step-by-step explanation:
27a ÷ 3 (number of cube root) = 3a
Answer:
3 a
Step-by-step explanation:
is the right answer you welcome
In the diagram below of circle 0, diameter AB is
parallel to chord CD.
A. 110°
B. 70°
C. 55°
D. 35°
If mCD= 70, what is mAC?
Answer:
C. 55°
Step-by-step explanation:
The computation of mAC is shown below:
Given that
Diameter AB would be parallel to CD
McD = 70
Based on the attached diagram and the above information
mAC is
= (180 - 70) ÷ 2
= 55 degrees
hence, the correct option is third
Can someone pls help me solve? (20 points)
Answer:
liar is 10
Step-by-step explanation:
Answer:
J. [tex]x=125[/tex]
Step-by-step explanation:
[tex]log_{2} 24 - log_{2}3 =log_{5} x[/tex]
[tex]4.5- 1.5 =log_{5} x[/tex]
[tex]x=(log_{5})^{-1} (3)[/tex]
[tex]x=125[/tex]
The graph of a linear system is shown. What is the solution to this linear system? Enter a value in each box to create an ordered pair.
Answer:
(1,2)
Step-by-step explanation:
The solution would be where both lines intersect.
In this case, the intersected point is (1,2)
4k + 2 - k + 7 just answer it
Answer:
3k + 9
Step-by-step explanation:
ik you want the points
plzz
Answer:
Line 1: Undefined
Line 2: -4/3
Line 3: 4/3
Line 4: Undefined
Line 5: 7/3
Line 6: -7/3
Line 7: 0
Line 8: 0
Line 9: Undefined
Line 11: 0
Line 10 & 12: Undefined
Step-by-step explanation:
Use the slope formula (you can just search up the slope formula)
Also, always remember that a vertical line's slope will be undefined and a horizontal line's slope will be 0 (zero).
I hope this helps!
A dog barks 30 times in 2 minutes. How many times does the dog bark per minute?
barks per minute
Answer:
15 times per minute
Step-by-step explanation:
just divide 30 by 2
20 points.
Find the equation of the line: which passes through (1,-7) and is perpendicular to (-4,6) and (5,-3)
Answer:
-9 6 that is because the line has to be perpenducular to the other line
Step-by-step explanation:
Slope of line between points (-4, 6) and (5, -3)
=> Rise / Run
=> [6 - (-3)] / [(-4) - 5]
= 9 / (-9)
= -1.
Thus slope of perpendicular line
= -1 / (-1) = 1.
We have y = x + c.
When x = 1, y = -7.
=> (-7) = (1) + c, c = -8.
Hence y = x - 8.
PLS HELP ME!!! which matrix represents the system of equations below {8x-9y+13z=11
{-8x-5y+5z=15
{3x+4y-8z=-10
Answer:
The answer is below
Step-by-step explanation:
The system of equations:
8x-9y+13z=11
-8x-5y+5z=15
3x+4y-8z=-10
The equations can be represented in matrix form as:
AX = B
X = A⁻¹B
Therefore:
[tex]\left[\begin{array}{ccc}8&-9&13\\-8&-5&5\\3&4&-8\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}8&-9&13\\-8&-5&5\\3&4&-8\end{array}\right] ^{-1}\left[\begin{array}{c}11\\15\\-10\end{array}\right]\\[/tex]
[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}\frac{1}{19} &-\frac{1}{19}&\frac{1}{19}\\-\frac{49}{380}&-\frac{103}{380}&-\frac{36}{95} \\-\frac{17}{380}&-\frac{69}{380}&-\frac{28}{95} \end{array}\right] \left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}-0.74\\-1.69\\0.13\end{array}\right] \\[/tex]
Rewrite the fraction in the sentence below as a percentage.
19
At a certain wedding,
of the guests were under 65 years old.
20
Answer: 95%
Step-by-step explanation:
19/20 divide
=0.95 turn into fraction form
= 95/100
=95%
A scale drawing of a building shows 1 inch = 8 feet. How many feet are represented by 3 ¾ inches on the drawing?
Answer:
30 feet
Step-by-step explanation:
3x8=24 ft
3/4x*8= 6 ft
20 POINTS! 2 + 4n = 11. What is the answer?
Answer:
I think the answer would be n = 9/4
Lupita bought 7 pounds of pretzels at a local wholesaler for $16.80. Her friend Charles bought 5 pounds of pretzels at the supermarket for $12.75. Charles thinks he got the better deal because $12.75 is less than $16.80. Is Charles’s reasoning correct? Explain why or why not.
Answer:
Charles's reasoning is wrong.
Step-by-step explanation:
Lupita has 7 pounds for 16.8 and Charles has 5 pounds for 16.8.
Let's set up ratios.
So Lupita got the best deal, not Charles. Poor him.
3. A team of biologists tagged 48 seals off the coast of an island. Later they captured a
sample of seals from the same area and found that 15% of them had tags. Use this
information to estimate the number of seals in the area.
Step-by-step explanation:
A team of biologists tagged 48 seals off the coast of an island.
later they captured a sample of seals from the same area and 15% of them had tags.
Estimate the total number of seals.
15 : 100 : : 48 : x
x
=4,800/15
=320
The total number of seals is about 320.
I hope it's helpful!
solve the inequality 31< 3x+4
