Answer:
(n ÷ 4) + 6 = 8
Step-by-step explanation:
Pretty sure I answered this before, but here you go.
Quotient means The answer when you divide' So we are working in the division.
n ÷ 4 is the division part
It says 'and' which can also mean addition. So we add 6. So far our equation is: (n ÷ 4) + 6 (Brackets are needed as we are dividing n by 4 and not dividing n by 4+6)
Lastly it says the answer must be 8 so we add that at the end. So the answer is:
(n ÷ 4) + 6 = 8
Pupils Per Teacher The frequency distribution shows the average number of pupils per teacher in some states of the United States. Find the variance and standard deviation for the data. Use a TI-83 Plus/TI-84 Plus calculator. Round your answers to at least one decimal place.
The variance and standard deviation for the frequency of pupils per teacher in some states of US is; Variance= 4.62 = 4.6 and Standard Deviation = 2.14 = 2.1
What is variance?Variance(σ²) is a measure of dispersion. A measure of dispersion is a quantity that is used to check the variability of data about an average value. Data can be of two types - grouped and ungrouped. When data is expressed in the form of class intervals it is known as grouped data.
The standard deviation(σ) of a random variable, is the square root of its variance. It is algebraically simpler, though in practice less robust, than the average absolute deviation.
That means;
Standard Deviation = √variance.
For the given data the sum of frequencies = 1+16+11+7+1+2= 38.
Midpoint is 12,15,18,21,24,27.
ni x mi = 12,240,198,147,24,54.
Sum of ni + mi = 675.
Mean (u) = 17.76
mi - u is -5.76,-2.76,0.24,3.24,6.24,9.24.
(mi - u)² is 33.17,7.61,0.057,10.49,38.93,85.37.
Sum of (mi - u)² = 175.62.
Variance = Sum of (mi - u)² / sum of frequencies
= 175.62/38
= 4.62 = 4.6.
Standard deviation = √variance.
= √4.62
= 2.14 = 2.1.
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refer to the image please
You have quarters, nickels,
and dimes that total $1.85. You have twice as many
nickels as dimes, and 2 more quarters than dimes.
How many of each coin do you have?
The number of dimes that we have are 3, the number of nickels are 6 and the number of quarters are 5.
Let the number of dimes be x.
So, we get that:
The number of quarters will be = x + 2
The number of nickels will be = 2 x
Now, 1 dime = $0.10.
1 nickel = $ 0.05
1 quarter = $ 0.25
Amount of dimes = 0.10 x
Amount of nickels = 0.10 x
Amount of quarters = 0.25 x + 0.5
Total amount of coins = $ 1.85
So, we get the equation as:
0.10 x + 0.10 x + 0.25 x + 0.5 = 1.85
0.45 x = 1.35
x = 135 / 45
x = 3
Dimes = 3
Nickels = 6
Quarters = 5
Therefore, we get that, the number of dimes that we have are 3, the number of nickels are 6 and the number of quarters are 5.
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Which did you include in your response?
The relation is a function if there is only one point of
intersection for any vertical line on the graph.
The relation is not a function if any vertical line has
more than one point of intersection on the graph.
The vertical line test is used to determine if one
input has exactly one output.
Use the vertical line test to determine whether a graph represents a function or not .
If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is a relation but not a function.
A function can only have one output, y, for each unique input, x. If a vertical line intersects a curve on an xy-plane more than once then for one value of x the curve has more than one value of y, and so, the curve does not represent a function.
what is function?
function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Therefore, a relation which maps a given input to more than one output is not a function, as such, given that the line intercepts the vertical line twice, then for a given value of x, which is the input, there are more than one value of y, which is the output, as such the relation is not a function.
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Challenge The temperatures at sunrise and sunset
are shown in the table. What was the temperature
change on each day? On which day did the
temperature change the most?
Day 1
Day 2
Daily Temperatures
Temperature at Temperature at
Sunrise (°C) Sunset (°C)
- 13.94
- 9.12
18.37
28.17
What was the temperature change on Day 1?
°C
(Simplify your answer. Type an integer or decimal rounded to the nearest hundredth as needed.)
1. The temperature change on each day is as follows:
Day 1 = 32.31°CDay 2 = 37.29°C2. The temperature change on Day 1 was 32.31°C.
3. The temperature changed the most on Day 2.
What is a temperature change?A temperature change is a process whereby the degree of hotness or coldness varies from one time to another.
In this instance, the temperature changes can be computed by subtracting the temperature at Sunrise from the temperature at Sunset in degrees Centigrade or degrees Fahrenheit, as the case may be.
Data and Calculations:Daily Temperatures
Temperature at Temperature at Temperature
Sunrise (°C) Sunset (°C) Change
Day 1 - 13.94 18.37 32.31°C
Day 2 - 9.12 28.17 37.29°C
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Mary's birthday is between June 13 and June 23. The date of her birthday is not an even number. The sum of the digits is 3. When is Mary's birthday
Answer:
Step-by-step explanation:
possible two digit numbers with sum 3 are 03,12,21,30
only 21 is between 13 and 23.
Mary's birthday is June 21.
Can you solve this
5 is multiplied by the cube of a number
Step-by-step explanation:
We will assume “a number” is “a”. When it is cubed it will be represented by
= “a³”.
When we multiply the number with 5 then the new cube will be
= (5a)³
Now distribute the exponent to the factors inside the parentheses.
= 125a³
What happens in the parentheses is 5*5*5 = 125
a*a*a = a³
So by multiplying your number with 5 it gets increased by 125 times.
find the perimeter and area of the figure? G( -4,1), H(4,1),I(0,-2)
Perimeter = 18 units; Area = 9 sq. units
GH = √(-4-4)²+(1-1)² = 8 units
HI = √(4-0)²+(1+2)² = 5 units
IG = √(0+4)²+(-2-1)² = 5 units
Perimeter of the given triangle = 8+5+5=18 units
Semi-perimeter of triangle = 18÷2=9 units
Using Heron's formula; √[s(s-a)(s-b)(s-c)]=Area of triangle;
A= √(9)(9-8)(9-5)(9-5)
= √(9)(3)(3)
= 9 sq. units
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About how many pizzas does Mr. T's Pizzeria sell each week? Remember, there are 7 days in a week.
Mr. T's Pizzeria Daily Sales
Types of Pizza Number of Pizzas
Pepperoni 29
Sausage 35
Veggie 42
Cheese 28
A.
about 1,000 pizzas
B.
about 1,200 pizzas
C.
about 1,400 pizzas
D.
about 2,000 pizzas
Answer: a
Step-by-step explanation: hope it helps.
Please help solve question
Answer:
a) [tex]x=\frac{15}{p}[/tex]
b) x=[tex]-3[/tex]
Step-by-step explanation:
First, you distribute the 4 to open the parentheses.
[tex]4px+4=64[/tex]
Subtract 4 to both sides:
[tex]4px=60[/tex]
Divide by 4p on both sides:
[tex]x=\frac{60}{4p}[/tex]
[tex]x=\frac{15}{p}[/tex]
For the second part, substitute the value of p.
[tex]x=\frac{15}{-5}[/tex]
[tex]x=-3[/tex]
Solve for F: C=5/9(F-32)
Answer:
F=9/5c+32
Step-by-step explanation:
Multiply both sides by 9/5 to cancel out the 5/9 on the right side of the equation. This gives you:
9/5C = F-32
C=F−32
Then add 32 to both sides, giving you:
9/5C + 32 = F
C+32=F
Thus, you have:
F= 9/5C + 32F=
5
9
C+32
Answer:
[tex]F= \frac{9}{5}C + 32[/tex]
Step-by-step explanation:
Multiply both sides by 9/5 to cancel out the 5/9 on the right side of the equation. This gives you:
[tex]\frac{9}{5}C = F-32[/tex]
Then add 32 to both sides, giving you:
[tex]\frac{9}{5}C + 32 = F[/tex]
Thus, you have:
[tex]F= \frac{9}{5}C + 32[/tex]
What is the probability of
spinning a yellow?
[?]%
Answer:
12.5 %
Step-by-step explanation:
There are 8 total sections, and only one of them is yellow. So if we spun it eight times, the possibility of getting yellow is one time. As a result, 1/8 is 12.5%
What is the largest number that rounds to 500 when rounding to the nearest 100? Show
how you know?
A:530
B:534
C:535
D:540
E:544
F:545
The largest appropriate number out of the given options after rounding off is 545(five hundred forty-five).
What is rounding off?
When a number is rounded off, its value is maintained but is brought near to the coming number, simplifying the number. For entire figures as well as numbers at different places of hundreds, knockouts, tenths,etc., it's done. A round number is constantly understood to stand for a value or value near the nominal value expressed in both formal and informal language. When a number is rounded, it's reduced to a simpler value while retaining a significant portion of its original value.
Since the rounding is off to the nearest 100's(hundreds), the smallest number will be in the range of (450, 499) both(two) inclusive.
Since its asking about the smallest(least) number, the number that is the smallest(least) will be 450
For the largest(greatest) number the range may vary between (501, 549) both inclusive
This means that any number rounded to the nearest 100's(hundreds) will be 500
Since it is asking for the largest(greatest) number, the number will be 549
So, both(two) the numbers largest( 549) and the smallest (450) when rounded to the nearest 100's(hundreds) will result in 500.
Hence, the largest appropriate number out of the given option is 545(five hundred forty-five.
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Write the equation of the line in fully simplified slope-intercept form.
The equation of the line in fully simplified slope-intercept form is [tex]y=\frac{1}{4} x-1[/tex].
What is a slope intercept form?A line is defined by the equation y = mx + b, which is also known as the slope-intercept form. When the line is graphed, m represents the slope and b the point at which the line intersects the y-axis.
For calculating the slope, the formula used is [tex]m=\frac{x_{2} -x_{1} }{y_{2} -y_{1} }[/tex]
From the graph we see that the points are (4,0) and (0,-1).
Substituting the points in the formula,
[tex]m=\frac{x_{2} -x_{1} }{y_{2} -y_{1} }\\m=\frac{-1-0}{0-4} \\m=\frac{-1}{-4} \\m=\frac{1}{4}[/tex]
We know that, the equation of a line in point slope form, where (x₁, y₁) is the point and slope m is:
(y – y₁) = m(x – x₁)
Here, (x₁, y₁)= (4,0)
Substitute the value of m and any coordinate into the formula y−y₁=m(x−x₁)
[tex]y-0=\frac{1}{4} (x-4)\\y=\frac{1}{4} x-1[/tex]
Therefore, the equation of the line in fully simplified slope-intercept form is [tex]y=\frac{1}{4} x-1[/tex].
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Math is hard, math be hard, hard be math, math math math
Answer:
math BE hard hard hard hard
Answer:
Math is actually easy for me. I started going into 7th grade when I was in 6th grade and it was just a month after school started.
Step-by-step explanation:
I guess you guys need help. Everyone needs help sometimes and I get it. So math is easy for me but It might be hard for you. I'm out.
Ashton is hosting a banquet. He plans to spend $400, plus or minus $50, at a cost of $25 per guest. Solve |25x-400|= 50 to find the maximum and minimum number of guests. If there can be up to 7 guests at each table, what is the minimum number of tables Ashton should reserve so that every guest has a seat?
Answer: The maximum is 18 and the minimum is 14. He should rent at least 3 tables.
Step-by-step explanation:
When there can be up to 7 guests at each table, the minimum number of tables that Ashton should reserve so that every guest has a seat will be 3 tables.
How to calculate the value?It should be noted that the expression given is illustrated as:
|25x-400|= 50
25x = 50 + 400
25x + 450
Divide
x = 450/25
x = 18
The maximum number of guests will be 18.
The minimum number will be:
25x = 400 - 50
25x = 350
Divide
x = 350/25
x = 14
The minimum number is 14.
Therefore, when there can be up to 7 guests at each table, the minimum number of tables that Ashton should reserve so that every guest has a seat will be:
= 18 / 7
= 3 tables approximately.
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Which figure below represents a rotation of 90° clockwise of the trapezoid shown?
Figure in option A is the figure that represents a rotation of 90° clockwise of the trapezoid
What is rotation?
The term rotation refers to the circular movement of an object or something about a point. The point mentioned is also called axis. The movement is circular because it involves turning round.
Rotation may be clockwise or anticlockwise. clockwise is the reverse of anticlockwise, and clockwise involves moving in same direction as the clock is turning,
As regards the trapezium, rotating it clockwise will result to the image depicted by option A
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Find the -intercept and the slope of the line 4x8y=3. Write your answers in simplest form.
The slope of the straight line is -1/2 whereas the y-intercept is 3/8.
What is defined as the equation of line in slope intercept form?Recognize that the y-intercept is the point at which the graph intersects the y-axis; that's where we usually begin.
Determine the slope first, then the y-intercept. For the time being, just consider if the slope is either positive or negative.The following are the variables that we will begin to use in our function:slope = mb = the y-interceptThe formula is y = mx + b. The variables x and y remain alphabets, but m and b have been replaced by numbers (for example, y = 2x + 4, slope = 2, and y-intercept = 4).Because the two quantities in the equation are now the slope and the intercept, this equation is known as the slope-intercept form.
y = mx + b
Remember that the slope (m) is the number multiplied by x, while the intercept (b) is indeed the number added or subtracted.
The given equation is;
4x + 8y = 3
Re-arranging the equation;
8y = -4x + 3
Divide the whole equation by 8.
y = -4x/8 + 3/8
Further simplifying;
y = -x/2 + 3/8
Comparing the result with the general form of equation.
m = -1/2; which is the slope.
c = 3/8; which is the y-intercept.
Thus, the values for slope and y-intercept are estimated.
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The correct question is-
Find the -intercept and the slope of the line 4x + 8y=3. Write your answers in simplest form.
From this year to ten years, the number of people employed as physician assistants in the country is expected to increase by 39%. The number of people employed as physician assistants today is 56,000. Find the predicted number of physician assistants after ten years.
Answer:
the predicted number of physician assistants after ten years is 77840.
Step-by-step explanation:
The number of people employed as physician assistants today is 56,000.
increment in employment =39%
after 10 years
total physicians= 56000*(1+0.39)
[ total =initial + profit]
[profit =profit*initial]
=77840
the predicted number of physician assistants after ten years is 77840.
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Use the method of completing the square to solve the quadratic equation
t2+5t−1=0.
The solution to the given quadratic equation using the completing the square method is t = -5/2 ±√29/4
Completing the square methodGiven the quadratic equation expressed as;
t^2+5t−1=0
Add 1 to both sides
t^2+5t−1 + 1 = 0+1
t^2 + 5t = 1
Take the square of half of the coefficient of t to have:
t^2 + 5t + (5/2)^2 = 1 + (5/2)^2
(t+5/2)^2 = 1+25/4
(t+5/2)^2 = 29/4
t + 5/2 = ±√29/4
t = -5/2 ±√29/4
Hence the solution to the given quadratic equation using the completing the square method is t = -5/2 ±√29/4
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is it true that perpendicular lines meet one another at 100°
Answer:
No, it is not true.
Perpendicular lines meet one another at 90°.
Answer:
It is false
Step-by-step explanation:
It is false because perpendicula line meet in 90 degree
Can someone help me out please??
Answer:
1. 7/8
2. 1/2
Step-by-step explanation:
y2-y1 /x2-x1 = slope
1. points: (-4,-4) and (4,3)
M = (3+4)/(4+4)
M=7/8
2. points: (-5,-3) and (3,1)
M = (1+3)/(3+5)
M = 4/8 or 1/2
x 10 = 23
6+x=-11
x-5 = -5
Answer: Algebra. Equation Solver. Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result!
Step-by-step explanation:
A rectangle the width of m-5 inches and height of 2m+1 inches. Find the simplified area of the rectangle
Answer:
6m - 8
Step-by-step explanation:
Add all of the sides
2m+1+2m+1+m-5+m-5
Then combine everything
6m - 8
How can you recognize when two integers are opposite numbers? Opposite numbers are always to the right of zero on the number line. Opposite numbers are always to the right of zero on the number line. Opposite numbers are the same distance from zero on both sides of the number line. Opposite numbers are the same distance from zero on both sides of the number line. Opposite numbers have one even number and one odd number. Opposite numbers have one even number and one odd number. Opposite numbers are always negative.
One can recognize when two integers are opposite numbers as C. Opposite numbers are the same distance from zero on both sides of the number line.
How to illustrate the information?It should be noted that opposite numbers are given as being 0 when added.
For example, the addition of 3 and -3 will be equal to 0.
Therefore, one can recognize when two integers are opposite numbers as Opposite numbers are the same distance from zero on both sides of the number line.
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Determine whether the given ordered pair is a solution of
the system of equations.
(8, 7); -x+y= - 1
6x + y = 41
Answer:THE ANSWER IS NO.
Step-by-step explanation:
As we have given that x=8 and y=7
put theses values in given equations :-
-x + y= -1
-8+7= -1,true
But, for 6x+y=41
We get 6*8+7=41
55 ≠41
Hence the answer is NO.
Answer:
Step-by-step explanation: if the ordered pair (8,7) is a solution of a system of equations; the values x=8, y=7 substituted in the system must make both equations true. -8+7=-1 -1=-1 √ 6×8+7=41 48+7=41 55=41(8,7) is not a solution of the systems.
How do you write 3 7/8 in a decimal form
Answer:
3.875
Step-by-step explanation:
The way you can do this is if you change 3 7/8 into a improper fraction.
3 7/8
To make improper fraction, you do 8x3+7 and that will be your numertor and 8 will be your denomintator. Then you will get 31/8. Now you do 31 dived by 8. That should igve you 3.875.
Let me know if this helps!! :)
Find the sum and choose the correct answer.
2n³+4n²-7 and -n³-8n-2
²³+4n²-87-9
On²³-41²-9
O-n³+4n²-80-9
On²+4n²-8n-5
Answer:
Your answer is n^3 + 4n^2 - 8n - 9
Hope this helps! <3
HELP ASAP!!!
Identify the zeros of the function f(x) = x² – 3x.
A.0, -3
B.0,3
C.3,3
D.-3, -3
Answer:
B. 0,3
Step-by-step explanation:
[tex]\texttt{Identify the zeros of the function}:f(x)=x^2-3x[/tex]
The roots are the x values in which where the graph intersects the x-axis. In order to solve, we will need to find the roots by replacing y with 0. In the end, we will solve for x.
= 0,3
What is the solution to this inequality?
X-8>-3
OA. x < -11
OB. x>-11
OC. x<5
OD. x>5
Answer:
OD
Step-by-step explanation:
move the -8 to the right, and change its sign
x > 5
