Malcolm should place the decimal point immediately after one (1) or before three (3) as follows: 8.25/6 = 1.375.
What is a quotient?In Mathematics, a quotient can be defined as a mathematical expression that is simply used to represent the division of a number by another number.
As a general rule, the smaller the divisor (denominator) of a mathematical expression, the larger would be the quotient. This ultimately implies that, a quotient would be large when the divisor (denominator) of a mathematical expression is small.
On the other hand (conversely), a quotient would be small when the divisor (denominator) of a mathematical expression is large.
Based on Malcom's calculations, he forgot to place the decimal point in the following expression;
8.25/6 = 1375
Next, we would determine the maximum value of this quotient;
8.25/6 = 12/6
8.25/6 = 2
Therefore, the whole number part for this decimal number would be one (1) and as such, the decimal point must be placed immediately after 1 as follows;
8.25/6 = 1.375
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Complete Question;
Malcolm calculated how many liters of milk each team would get if 6 teams shared the milk equally. His work is shown above, but he forgot to place the decimal point in the quotient. Where should he place the decimal point? Use number sense to explain.
8.25/6 = 1375
The price of a gallon of unlead gas has risen to $2.88 today. yesterdays price was $2.83. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Keiko estimated that it would take her 18 hours to build a shed for her 12.5 backyard. It only took her hours. What is the percent error of her estimate relative to the time it actually took?
The percent error of her estimate relative to the time it actually took is approximately 5.9%
What is the percent error?Estimated time to construct the shed = 18 hoursActual time taken to build the shed = 17 hoursError = Estimated time to construct the shed - Actual time taken to build the shed
= 18 hours - 17 hours
= 1 hour
Percent error = error / actual time × 100
= 1/17 × 100
= 0.058823529411764 × 100
= 5.882352941176470
Approximately,
5.9%
Consequently, the percent error of Keiko estimation and actual time is 5.9%
Complete question:
Keiko estimated that it would take her 18 hours to build a shed for her 12.5 backyard. It only took her 17 hours. What is the percent error of her estimate relative to the time it actually took?
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solve for U
3u − –2 = 8
U=
PLEASE HELP ASAP 20 POINTS
Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 22.75°. What is the measure of ∠P?
22.75°
78.625°
134.5°
157.25°
Answer:
<P = 78.625°
Step-by-step explanation:
All of the angles in a triangle add up to 180.
<R + <Q + <P = 180
We can use x for <P and <Q, as they represent the same value because they are congruent.
<R + x + x = 180
Now, we want to substitute known values in and work backwards to find out what angle <P and <Q are.
2x + <R = 180
Put 22.75 in for <R.
2x + 22.75 = 180
Subtract on both sides.
2x = 157.25
Divide 2 on both sides to isolate x
x = 78.625
Since x represents <P and <Q, that means they are both 78.625 degrees each.
<P = 78.625
HELP!! PLS JT WONT TAKE LONG. IS THIS PHOTO CURVE A NORMAL DISTRIBUTION. WHY OR WHY NOT.
Answer:
no, it isn't symmetrical
Step-by-step explanation:
give me brainliest pls
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
From the solution to the given inequality, the correction representations are -6x + 15 < 10 - 5x and a number line from -3 to 7, with an open circle at 5 and an arrow pointing to the right.
Solving Linear InequalitiesFrom the question, we are to determine the correct representations of the given inequality
The given inequality is
-3(2x - 5) < 5(2 - x)
To determine the correct representation, we will solve the inequality
Solving the inequality
-3(2x - 5) < 5(2 - x)
Clear the parentheses by applying the distributive property
-6x + 15 < 10 - 5x
Add 6x to both sides
-6x + 6x + 15 < 10 - 5x + 6x
15 < 10 + x
Subtract 10 from both sides
15 - 10 < 10 - 10 + x
5 < x
Therefore,
x > 5
Hence, the correction representations are -6x + 15 < 10 - 5x and the number for x > 5
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If angle 1 is 25 degrees in the parallelogram pictured above, what is angle 2
if q is 1x+ 10 and AC is 7x+8 what is the length of AC? Round your answer to the nearest hundredth
Applying the properties of a parallelogram:
1. Length of AC = 24.8 units
2. x = 1
What are the Properties of a Parallelogram?Some properties of parallelogram we need to recall in order to solve the problem given are:
They have two pair of sides that are parallel to each other and also of the same length.They have two diagonals that bisect each other into equal halves.1. q = 1x + 10
AC = 7x + 8
Therefore:
q = 1/2(AC) [based on the property of a parallelogram]
Substitute
x + 10 = 1/2(7x + 8)
Solve for x
2(x + 10) = 7x + 8
2x + 20 = 7x + 8
2x - 7x = -20 + 8
-5x = -12
x = -12/-5
x = 2.4
Length of AC = 7x + 8 = 7(2.4) + 8
Length of AC = 24.8 units
2. x + 8 = 7x + 2 [based on the property of a parallelogram]
x - 7x = -8 + 2
-6x = -6
-6x/-6 = -6/-6
x = 1
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hi! Can someone please help me out? Thank you so much :) I’ll give brainly. Question is in image
Answer:
d) 189.3 in²
Step-by-step explanation:
Area of rectangle is,
→ w × l
→ 10 × 15
→ 150 in²
Area of semi circle is,
→ (1/2)πr²
→ (1/2) × 3.14 × (5)²
→ 1.57 × 25
→ 39.3 in²
Now the total area will be,
→ 150 + 39
→ 189.3 in²
Thus, total area is 189.3 in².
Choose an equation in slope-intercept form for the line that passes through (0,7) and is parallel to the y=4x-19
a. y= (1/4)x - 7
b. y= (1/4)x + 9
c. y = 4x + 3
d. y = 4x + 7
Answer:
Step-by-step explanation:
You dont even need to look at the slope. For it to pass through (0,7) answer d with the +7 at the end is the only right answer
your welcome
D
Find the distance between (−7, 2) and (−6, 3). Round your answer to the nearest tenth.
Answer:
[tex]\huge\boxed{\sf D=1.4 \ units}[/tex]
Step-by-step explanation:
Points:[tex](x_1,y_1)=(-7,2)[/tex][tex](x_2,y_2)=(-6,3)[/tex]Distance Formula:Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Put the above points in the formula.
[tex]D=\sqrt{(-6-(-7))^2+(3-2)^2} \\\\D=\sqrt{(-6+7)^2+1^2} \\\\D=\sqrt{1^2+1} \\\\D=\sqrt{1+1} \\\\D=\sqrt{2} \\\\D=1.4 \ units\\\\\rule[225]{225}{2}[/tex]
If a firm sold some inventory on credit as opposed to cash, there is no reason to think that either its current or quick ratio would change. a
The given statement would be "false".
What is the quick ratio?A quick ratio compares the company's most liquid assets to a short-term commitment. The quick ratio is computed by adding the cash and equivalents of the firm to its short-term investments and account receivable. Divide the figure by the firm's existing liabilities.
As per the question, there is no reason to believe that if a company sold any goods on credit rather than cash, its current or quick ratio would change that would be false.
Thus, the given statement would be "false".
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The question seems to be incomplete the correct question would be:
Find the statement true or false.
If a firm sold some inventory on credit as opposed to cash, there is no reason to think that either its current or quick ratio would change. (T/F)
Last year, 769 of the 1,307 residents in a small town owned more than one vehicle.
Use this historical data to find the probability that a randomly selected resident in this small town owns more than one vehicle.
PLEASE HELP ME.!! I WILL GIVE BRAIN LIST
Which graph shows the image of ΔABC after a rotation about the origin?
Answer:
B
Step-by-step explanation:
A is a reflection across the y-axis.
B is the result of a rotation around the origin either by 90° counterclockwise, or by 270° clockwise.
C is a reflection across the x-axis.
D is a translation (shift) by -5 to the left.
The midpoint of AB is M (3, -1). If the coordinates of A are (8, 4), what are the coordinates of B?
Question 43 of 50
The graph of an exponential function that is increasing is ƒ(x) = (1/5)x.
False
True
Answer:
Option: A is the correct answer.
Step-by-step explanation:
Clearly from the graph we could observe that the graph is a decay exponential function as the graph of the function is decreasing with the increasing value of x.
Hence, the rate has to be less than 1.
So, option: B and D are ruled out as they represent a growth exponential function.
Also from the graph given in the question we could observe that when x=0 the value of y is:
y=4
So, the exponential function that is represented by the graph is:
Answer: true
Step-by-step explanation:
n Game 1, Emerson struck out 30 times in 90 times at bat. In Game 2, he struck out 40 times in 120 times at bat. In Game 3, Emerson struck out 42 times in 140 times at bat.
The percentage of time that Emerson actually hit the ball is given by the following option:
C. 68%.
How to calculate a percentage?A percentage is calculated applying proportions, as it is a fraction of the total amount, obtained as the division of the number of desired outcomes by the number of total outcomes and multiplied by 100%.
Hence the outcomes in this problem are given as follows:
Desired: outcomes that he did not struck out.Total: all the at bats.Then the number of desired outcomes is obtained as follows:
(90 - 30) + (120 - 40) + (140 - 42) = 238.
The number of total outcomes is obtained as follows:
90 + 120 + 140 = 350.
Then the percentage is given as follows:
P = 238/350 x 100% = 68%.
Meaning that the correct option is given by option C.
Missing InformationThe problem is:
In Game 1, Emerson struck out 30 times in 90 times at bat. In Game 2, he struck out 40 times in 120 times at bat. In Game 3, Emerson struck out 42 times in 140 times at bat. What percentage of times at bat did Emerson actually hit the ball? a. 39% b. 85% c. 68% d. 45%
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-14x - 6 + 8 What is the answer???
Answer:
The answer is 2-14x or
-12x
Find the values of x and y.
x + 2 = 3y
If one of the factors from the product of 3 identical factors of a number is 4, what is that number?
Answer:
64
Step-by-step explanation:
Since one of the 3 identical factors is 4, then the number is 4×4×4, or 4³
7x - 10y = 28
7x - 3y = 28
Answer:
(4, 0)
Step-by-step explanation:
7x - 10y = 28
7x - 3y = 28
------------------
(7x - 10y = 28) × -1
-7x + 10y = -28
--------------------------
-7x + 10y = -28
7x - 3y = 28
--------------------------
7y = 0
y = 0
7x - 10y = 28
7x - 10(0) = 28
7x = 28
÷7 ÷7
----------------
x = 4
(x, y)
(4, 0)
I hope this helps!
x-intercepts for 7x - 10y = 28:
(4,0)
y-intercepts:
(0, -14/5)
x-intercepts for 7x - 3y = 28:
(4, 0)
y-intercepts:
(0, -28/3)
Step-by-step explanation:I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
mean of 1/3 and - 2/5
Answer:
-1/30
Step-by-step explanation:
add the two numbers and divide by 2
If fx)=1/9x-2, what is f¹(x)?
0 f¹(x)= 9x + 18
0 f¹(x)= 1/9x+ 2
0 f¹(x)= 9x+2
0 f¹(x)= -2x + 1/9
Answer:
f⁻¹(x)= 9x + 18
Step-by-step explanation:
1. Replace f(x) with x, and x with y: x=1/9y-2
2. Solve for y:
x=1/9y-2
9x=y-18
9x+18=y
3. Replace y in step 2 with f⁻¹(x)
A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages.
64, 40, 45, 43, 33, 50, 47, 49, 42, 28, 55, 64, 55, 41, 65.
64, 50, 45, 51, 23, 35, 64, 43, 45, 37, 37, 47, 34, 27, 49,
62, 39, 35, 44, 23, 36, 42, 34, 32, 52.
D
The required leaves values for the given stems are calculated below.
What is Stem-and-Leaf plot?A plot where every information esteem is parted into a "leaf" (typically the last digit) and a "stem" (different digits). For instance "32" is parted into "3" (stem) and "2" (leaf). The "stem" values are recorded down, and the "leaf" values are recorded close to them.
For example , 42, 34, 48, and so on.
Here 42 and 48 qualities will be written in stem 4 as their most memorable digit is 4, while 2 and 8 will be placed in the leaf side.
Likewise, 3 will be the stem, and 4 will be the leaf for esteem 34.
4| 2, 8
3| 4
According to question:65, 40, 47, 47, 33, 55, 44, 49, 46, 22, 58, 65, 56, 41, 63, 65, 54, 42, 58, 29, 39, 66 , 49, 42, 34, 36, 42, 35, 21, 44, 61, 35, 33, 42, 27, 30, 46, 33, 35, 58.
As given in the question that the stem and Leaves are to be separated by a hyphen.
Stem-and-Leaf plot 6 - 5, 5, 3, 5, 6, 1
5 - 5, 8, 6, 4, 8, 8
4 - 0, 7, 7, 4, 9, 6, 1, 2, 9, 2, 2, 4, 2, 6
3 - 3, 9, 4, 6, 5, 5, 3, 0, 3, 5
2 - 2, 9, 1, 7
As we can see above there are 5 stems, where stem 6 has 6 leaves, stem 5 has 6 leaves, stem 4 has 14 leaves, stem 3 has 10 leaves, and stem 2 has 4 leaves.
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The value of a brand new car depreciates 10% when leaving the agency and another 5% after the first year of use. After one year of use, the value of a certain automobile is $51,300.00. Which of the following mathematical expressions correctly represent the value (x) of this automobile zero km? x times open parentheses 0 comma 10 plus 0 comma 05 close parentheses equals 51300 double right arrow x equals 342000 x times open parentheses 0 comma 90 plus 0 comma 95 close parentheses equals 51300 double right arrow x equals 26308 x equals 51300 plus 51300 over 10 plus 51300 over 5 double right arrow equals 66690 x equals 51300 minus open parentheses 51300 over 10 plus 51300 over 5 close double right arrow x equals 35910 x times 0 comma 90 times 0 point 95 equals 51300 double right arrow x equals 60000
The value of the car zero km is given by the expression x = 60000.
LET ME EXPLAIN SOMETHING:
An algebraic expression is one that has several operations between numbers and letters (unknowns): addition, multiplication, subtraction, division, potentiation, rooting, etc.
LET'S GO TO THE SOLUTION:
Let x be the initial value of the car, we know that it depreciates 10% when leaving the agency and another 5% after one year. If the value of this car is $51,300.00 after 1 year, we will have to:
When you leave the agency, your value decreases by 10%:
x·(100% - 10)% = 90% of x = 0.9xAfter a year, its value decreases by 5%:
0.9x·(100% - 5)% = 95% of 0.9x = 0.855x0.855x = 51300
x = 60000
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https://brainly.com/question/953809Find the surface area
3yd
3yd
8yd
Answer: 72
Step-by-step explanation: 3 x 3 x 8 = 72
3 x 3 = 9
9 x 8 = 72
HELP PLEASE this is urgent
Answer:
10.5 cm
Step-by-step explanation:
YZ corresponds to TU
YZ:TU = 9:3 = 3:1
XY corresponds to ST
ST = 3.5 cm
XY:ST = 3:1
XY/ST = 3/1
XY/3.5 cm = 3
XY = 10.5 cm
31 MULTIPLE CHOICE which of the following is not possible geometry
Answer:
? where are the questions i will edit when answer arrive.
Step-by-step explanation:
{ | ∈ and 3 ≤ < 9} ROOSTER MODE
The rooster form of the given set is {3, 4, 5, 6, 7, 8}
What is the rooster form of set?The contents of a set can be described by listing the elements of the set, separated by commas, inside a set of curly brackets. This way of describing a set is called roster form.
Given a set, {I ∈ ≤3<9}
Converting in rooster form, {3, 4, 5, 6, 7, 8}
Hence, The rooster form of the given set is {3, 4, 5, 6, 7, 8}
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A line has a slope of 1 and passes through the point (-2, 8). What is its equation in slope-intercept form?
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{ 1}(x-\stackrel{x_1}{(-2)}) \implies y -8= 1 (x +2) \\\\\\ y-8=x+2\implies {\Large \begin{array}{llll} y=x+10 \end{array}}[/tex]
Answer: The answer is y=x+10
The following coordinate plane shows three of the vertices of a rectangle. On an 8 by 8 coordinate grid, T is plotted 1 unit right and 4 units up from the origin. P is plotted 6 units right and 2 units up from the origin. Z is plotted 3 units right and 5 units up from the origin. What are the coordinates of Point Z? ( Choose... ) What are the coordinates of Point P? ( Choose... ) Which point has coordinates ( 1 , 4 ) ? Choose... In order to create a rectangle using these points as three of the vertices, what coordinates should be used for the fourth vertex? ( Choose... )
The coordinates of the points are given as follows:
Point Z: (3,5).Point P: (6,2).Point T has coordinates (1,4).The coordinates of the fourth vertex are of:
(4,1).
What are the ordered pairs?The notation of an ordered pair is given as follows:
(x-coordinate,y-coordinate).
The x-coordinate is the horizontal movement, defined as follows:
Right: positive x-coordinate.Left: negative x-coordinate.The y-coordinate is the vertical movement, defined as follows:
Up: positive y-coordinate.Down: negative y-coordinate.The equivalent sides on a rectangle are congruent, hence the equivalent sides are:
TZ and PM.
Hence the missing coordinate M is:
1 unit down from P, hence y = 2 - 1 = 1.2 units left from P, 6 - 2 = 4.More can be learned about ordered pairs at brainly.com/question/1528681
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