Answer:
n=13
Step-by-step explanation:
the equation 8 is 5 less than a number n
n-5=8
n=?
n=8+5
=13
n=13
Answer:
13
Step-by-step explanation:
the equation 8 is 5 less than a number n
n-5=8
n=?
n=5+8
=13
a home improvement store charges $20 to rent a small truck for 1 hour . Each additional hour costs $25 . There is also a fuel surcharge of $0.05 for each mile driven .How much will it cost to rent the truck for 4 hours if it is driven 30 miles
Answer:
It will cost $121.50
Step-by-step explanation:
C = 20 + 25h + .05m
Now plug in the hours and miles
C = 20 + 25(4) + .05(30)
C = 20 + 100 + 1.5
C = 121.50
The total cost rent the truck for 4 hours and 30 miles drive is $121.5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Given that, a home improvement store charges $20 to rent a small truck for 1 hour.
Let the number of hours be h and the number of miles be m.
Now, total charge = 20+25h+0.05m
Here, h=4 and m=30
So, total charge = 20+25(4)+0.05(30)
= $121.5
Therefore, the total cost rent the truck for 4 hours and 30 miles drive is $121.5.
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what is f(x)? What point is on the graph of f?
Answer: A) -2; (2, -2)
Step-by-step explanation: If x is 2 then only the first two answers have the possibilty of being correct since in the coordinate pair the x coordinate is 2.
Sub in x and solve equation
[tex]\frac{x^2-2}{x-3}\\\frac{2^2-2}{2-3}\\\frac{4-2}{-1} \\\frac{2}{-1} \\-2[/tex]
f(x)=-2 so that is where the point of f is.
Graph the inequality. y ≥ |x + 5| - 3
Answer:
1
Step-by-step explanation:
Write an exponential equation using y a(b) that
represents the growth or decay of the situation.
A house was purchased for $160,000. The house has an
annual appreciation rate of 8%. Please write a let statement
and an equation that represents the house's value over time.
Answer:
[tex]y = 160000 * (1.08)^t[/tex]
Step-by-step explanation:
Given
[tex]a = 160000[/tex] --- initial
[tex]r =8\%[/tex] --- rate
Required
The function over time
The function is calculated as:
[tex]y = a(1 + r)^t[/tex]
So, we have:
[tex]y = 160000 * (1 + 8\%)^t[/tex]
Express percentage as decimal
[tex]y = 160000 * (1 + 0.08)^t[/tex]
[tex]y = 160000 * (1.08)^t[/tex]
Study the given data set. {77,4,62,10,45,9,38,80,2}. What is the standard deviation of the data?
Answer:
29.7 is the standard deviation :)
How much is a $28 shirt
that is on sale for 30% off?
30%=8.40
28-8.4=$19.60
Answer:
8.4
Step-by-step explanation:
30% = 0.30 or 0.3
0.3 x 28 = 8.4
(i usually use a calculator for this part)
Chris plans to buy a car that depreciates in value at a rate of 10% per year. If the car initially costs $32,000. How much will the car be worth after 5 years?
The box plots represent the distances run by the players in a football match.
Team B
8.7 88 89 90 91 92 93 9.4 0.5 0.6 0.7 08 09 10.0 10.1 10.2 10.3 10.4
Distance run (km)
The players in Team A ran more consistent distances.
How do the box plots show this?
(Total 1 mark)
Answer:
Following are the response to the given question:
Step-by-step explanation:
Its scope, as well as the cross median range, could be established using the measurement for dispersal by looking at even a booth map. We simply search for the difference between the larger and lowest data value to define the range, and we make all the difference between the third quartile and first quarter for the disposing of products and services ranges.
Team A:
[tex]R=V_{max} -V_{min} \to R= 10.2 – 8.8 = 1.4 \\\\IQR = Q_3 - Q_1 = IQR = 9.09 - 9.5 = 0.4\\\\[/tex]
Team B:
[tex]R= 10.4 - 9.0 = 1.4\\\\IQR= 10.1 – 9.6 = 0.5[/tex]
Based on previous results, you see an equal range, but variation in the interquartile. Group B does have a greater confidence interval than Group A, therefore we can say it is far more consistent over group B distance. Group A is a different type.
Which of the following describes a compound event?
A. Tossing 5 coins and getting 4 heads
B. Rolling 3 on a die
C. Tossing a coin and getting tails
D. Drawing the ten of diamonds from a deck of cards
Answer:
A. Tossing 5 coins and getting 4 heads
Step-by-step explanation:
Compound events may be described as events whose occurence has more than one possible outcome, that is the number of possible events is more than one. From the options given above, Rolling 3 on a die, this event has only one possible outcome, which is rolling 3 ; tossing a coin and getting tails also has one obe possible outcome. Drawing 10 diamonds from a deck also focuses on one event which is drwinh diamonds. However, tossing 5 coins and getting 4 heads involves that the 5th toss will be tail. This has more than one event and thus a compound event.
Answer: A.
Step-by-step explanation:
Tossing five coins and getting four heads is a compound event as the coins and cards are different
Use the graph to answer the questions.
1) write into vertex form.
2) identify the vertex, focus, and directrix.
Answer:
y = 2( x+5)^2 -4
Vertex (-5,-4)
directrix y = -33/8
focus (-5, -31/8)
Step-by-step explanation:
First identify the vertex, which is the minimum
Vertex = (-5,-4)
The vertex form is y = a( x-h)^2 + k
y = a( x- -5)^2 -4
y = a( x+5)^2 -4
We need to determine a
Substitute a point on the graph
(-3,4) is on the graph
4 = a( -3+5)^2 -4
4 = a( 2)^2 -4
4 = 4a -4
Add 4 to each side
8 = 4a
Divide by 4
8/4 = a
a=2
y = 2( x+5)^2 -4
To find the focus and directrix, write in standard form
4p(y-k)=(x-h)^2
y+4 = 2(x+5)^2
1/2 (y+4) = (x+5)^2
4p = 1/2
p = 1/8
The focal length is 1/8
Subtract this from the y coordinate to get the directrix
y = -4 -1/8
y = -32/8 - 1/8 = -33/8
Add this to the y coordinate to get the coordinate for the focus the x coordinate the same
(-5, -4+1/8)
(-5, -32/4+1/8)
(-5, -31/8)
If the sun is 67° above the horizon, find the length of the shadow cast by a building 61 ft tall. Round your answer to the nearest tenth. (plz help I list brainlist)
Answer:
25.9 ft
Step-by-step explanation:
tan = opp/adj
tan67 = 61 / adj
adj = 61/tan67
use calculator
adj = 25.892963788785889
Rounded
25.9 ft
How many ways can six of the letters of the word palindrome be selected and written in a row where either the first two letters are PA(in order) or the last two letters are ME (in order)
There are 48 ways to select and arrange six letters from the word "palindrome".
Case 1: First two letters are "PA" (in order)
In this case, to select four letters from the remaining seven letters of the word "lindrome" and arrange them.
The order of the selected four letters is important.
So, the number of ways for this case is:
Number of ways = 4! = 24
Case 2: Last two letters are "ME" (in order)
Similarly, in this case, to select four letters from the remaining
seven letters of the word "palindr" and arrange them.
The number of ways for this case is also:
Number of ways = 4! = 24
Now, the total Number of ways
= Number of ways in Case 1 + Number of ways in Case 2
= 24 + 24
= 48
Therefore, there are 48 ways to select and arrange.
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FIND THE LENGTH of X triangle (Look at picture easy and brainlest)
Answer:
resizing by the factor of 5/7
x = 3.5 * 5/7
= 17.5/7
= 2.5
If x^3 + 4x^2 - 16x + 24 is divided by x + 3, what is the value of the remainder?
A.-33
B.24
C.57
D.81
Answer:
24
Step-by-step explanation:
Answer:
the remainder is 81
Step-by-step explanation:
so , equate x +3 to 0 , as in x + 3 = 0 then x = -3
so now we know the value of x so just replace it in the expression to get the remainder
♡´･ᴗ･`♡
The values that divide a list of numbers into four groups are called _____.
Answer:
I think that the answer you're looking for is quartiles!
Step-by-step explanation:
They divide your data into four segments according to where the numbers fall on the number line.
1
Select the correct answer
which set of numerical values represents the minimum lower quartile, median, upper quartile, and maximum, in that order, of the box plot of
this data set
51.51.53 53 54 55 55 56 58 58 58. 59.60
51.54 56 58 60
51.53 56 59 60
C 53 54 55.59.60
51.53.55. 58. 60
How many 3s must be added to a list of six 11s so that the average of all the numbers is 6
Answer:sj
Step-by-step explanation:
d fjls ljf s
Ill give brainliest.....
HELPPP MEE PLEASEEE I DONT WANNA FAIL SUMMER SCHOOL NO FILES OR LINKS WOULD BE DEEPLY APPRECIATED
I will mark brainliest to whoever answers the question fast and correct.
The expression 2(1 + W) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is 2/3 unit and the width is 1 3 unit, what is the perimeter of the rectangle in units? 2/3unit 1 unit 1 2/3unit 2unit
Answer:
the answer is a
Step-by-step explanation:
Find the measure of the central angle of a regular polygon with 16 sides.
Answer:
Each angle of a regular hexadecagon is 157.5 degrees, and the total angle measure of any hexadecagon is 2520 degrees.
Last year the division had total sales of 23,380,000 , operating income of 2,828,980, and invested assets of 10,000,000. Required : a. What is the division's profit margin ? b. What is the division's investment turnover? c. What is the division's return on investment (ROI) using DuPont formula? d. What is the residual income if investors require a minimum return of 20% ?
Answer:
The solution is given below
Step-by-step explanation:
The computation is shown below:
a. The profit margin is
= Operating income ÷ total sales
= $2,828,980 ÷ $23,380,000
= 12.1%
b. The investment turnover is
= Total sales ÷ total assets
= $23,380,000 ÷ $10,000,000
= 2.34
c. The return on investment is
= Profit margin × investment turnover
= 12.1% × 2.34
= 28.29%
d. The residual income is
= Operating income - (minimum rate of return × assets)
= $2,828,980 - (20% of $10,000,000)
= $828,980
Which of the following is the definition for permutation?
Answer:
The answer is D. Selections of objects in which the order of the objects matters.
Step-by-step explanation:
Permutation is an arrangement of all or part of a set of objects, with regard to the order of the arrangement.
The formula for permutation: A permutation is the choice of (r) things from a set of (n) things without replacement and where the order matters. Formula-
[tex]nPr= \frac{n!}{(n-r)!}[/tex]
Permutation can be classified in three different categories:
Permutation of (n) different objects (when repetition is not allowed)Repetition, where repetition is allowedPermutation when the objects are not distinct (Permutation of multi sets)Help me with this please
Answer:
An angle of a regular octagon is 135°
(n-2)180°/n
where n is number of sides
solve x and y in 2^x ×3^y =72
Answer:
x = 3 , y = 2
Step-by-step explanation:
We need to solvd the the given exponential equation , the equation is,
[tex]\bf\implies 2^x \times 3^y = 72 [/tex]
Now write 72 as prime factors of 2 and 3 ,
[tex]\bf\implies 2^x \times 3^y = 2^3 \times 3^2 [/tex]
On comparing ,
[tex]\bf\implies x = 3 \\[/tex]
[tex]\bf\implies y = 2 [/tex]
A circular table top has a radius of 24 inches. What is the area of the table top, to the nearest square inch? Use 3.14 for Pi.
Answer:
1809[tex]in^{2}[/tex]
Step-by-step explanation:
A = (3.14)(24)^2.
A = 1808.64
To the nearest square inch:
1809[tex]in^{2}[/tex]
There are 40 students in a class. 4 of them are absent, then find the
percent of present students.
Please help by writing down the steps as well.
Answer:
90%
Step-by-step explanation:
present students:40-4=36
36/40*100
=90%
Answer:
90% are present
Step-by-step explanation:
40-4=36
36 are present
36/40 = x/100
36x100=3600
3600/40=90
answer: 90/100 = 90%
The ratio of the numbers of students in Mr. Moore’s class compared to the number of students in Miss Henry’s class is 5:4. The ratio of the number of students in Miss Henry’s class compared to the number of students in Mr. Wilson’s class is 8:9. What is the ratio of number of students in Mr. Moore’s class to Mr. Wilson’s class.
Answer:
10:9
Step-by-step explanation:
First ratio is 5:4. 4 is equal to Henry class
If you múltiply the ratio by 2 you get
10:8, This ratio can be compared because now Henry class has 8
2(5:4)
10:8
8:9
Meaning that the answer is 10:9
Use Pythagorean theorem to find the missing side of the triangle write the exact answer no decimals
Last two options: 300
2/10
Big man pyth said a^2 + b^2 = c^2. He also said c has dat big ting. So x^2 + 10^2 = 20^2. Than just convert them and rearrange. 400 - 100 = x^2
So [tex]\sqrt{300}[/tex] is the answer. Than simplify the surd. 10 [tex]\sqrt{3}[/tex]
shush
Consider the following inductive arguments, and evaluate each one for inductive strength. To do this, begin by assuming that the argument's premises are true (even if they are false). Then ask yourself whether the conclusion would therefore probably be true as well. If the answer to this question is yes, then the argument is strong. If the conclusion is not likely to be true based upon the given premises, then the argument is weak.
Argument A:
Whales and dolphins are both mammals. So, because whales cannot breathe underwater but must come up to the ocean's surface to breathe, it is likely that dolphins must also swim to the surface to breathe air.
Argument A is :_______
a. strong
b. weak
Argument B:
Harry has always had an aptitude for history, geography, and social sciences, but he has always struggled with abstract concepts such as mathematics and physics. But Harry must take a college physics course to fulfill a general education requirement for his degree. Based on his academic track record, it is likely that Harry will be one of the top students in his college physics course.
Argument B is :_______
a. strong
b. weak
Argument C:
Out of a bag of 100 marbles, 97 red marbles were drawn in a row at random. Based on this sample, it is probably the case that the remaining 3 marbles are also red.
Argument C is :_______
a. strong
b. weak
Argument D:
The label on the side of a certain soda can indicates that the can was manufactured by Ball Corporation in their plant in Fairfield, California. Based on the information on the can's label, it is unlikely that the can was manufactured by any company other than Ball Corporation.
Argument D is :_______
a. strong
b. weak
Answer:
Argument A: a. strong
Argument B: b. weak
Argument C: a. strong
Argument D: a. Strong
Step-by-step explanation:
Dolphins and whales are mammals. They do not have gills like other fishes for breathing. They have to come to surface of water to breathe. The whales can store oxygen and can stay alive without breathing for more than an hour while dolphins can stay without breathing for few minutes. Harry has struggles with physics and mathematics therefore he cannot be top scorer in this subject based on his past track record.