How many miles can be driven with 5.5 gallons of gas
Answer:
About 198 miles.
Step-by-step explanation:
The average car can drive with an MPG ratio of 36 miles per gallon. Using this and other observations. This would make this equation rather facile and result in equation 36(MPG) × 5.5(Gallons). Therefore, the result led to the remedy as 198 miles.
please help me with this question
Answer:
71
Step-by-step explanation:
The mean is the average. There are two ways to do this question shown.
1- You can calculate the mean by adding them all up and find the current mean. You can then add the numbers and then divide again-
88+100+76+92+83=439.
439/5=87.8
The current average is 87.8. Now, you can add and divide again.
439+71=510. 510/6=85.
You now have the answer. However, you might want to check again.
439+76=515
515/6=85.833....3
It is more than 85, so the answer is 71.
2- Find out how much more all the numbers are than the smallest number.
First, I'll organize it.
-76, 83, 88, 92, 100-
The smallest number is 76, so subtract 76 from each.
0, 7, 12, 16, 24 added up together is 59.
59/5=11.8
76+11.8=87.8
That also gives you that the average is 87.8.
You can then see how much or less the number is than the average and then add.
71 is five LESS than the average, so it's -5.
54/6=9.
9+76=85.
Thus, 71
5)Find the mean, median, mode, range, first quartile, third quartile, and the interquartile range for
each data set given. Is the data skewed?
a. 7, 12, 1, 7, 6, 5, 11, 10, 14, 16, 16, 8, 9, 11, 12, 3
b. 85, 105, 95, 90, 115, 10, 8, 7, 5, 9, 10, 7
Answer:
See belowStep-by-step explanation:
DefinitionsMean - average numberMedian - the middlepoint of the data setMode - the most repeated data in the setRange - the difference between the minimum and maximum values of data setFirst quartile - Q1, the median of the lower half of the data setThird quartile - Q3, the median of the upper half of the data setIQR - the difference of Q3 and Q1Step 1Put the data in the ascending order
a) 1, 3, 5, 6, 7, 7, 8, 9, 10, 11, 11, 12, 12, 14, 16, 16b) 5, 7, 7, 8, 9, 10, 10, 85, 90, 95, 105, 115Step 2Find all the numbers
a)
Mean = (1+3+ 5+ 6+ 7+ 7+ 8+ 9+ 10+ 11+ 11+ 12+ 12+ 14+ 16+ 16)/16 = 9.25Median = (9 + 10)/2 = 9.5Mode = noneRange = 16 - 1 = 15Q1 = (6 + 7)/2 = 6.5Q3 = 12IQR = 12 - 6.5 = 5.5The data is almost uniform as the mean and median are very closeb)
Mean = (5+ 7+ 7+ 8+ 9+ 10+ 10+ 85+ 90+ 95+ 105+ 115)/12 = 45.5Median = 10Mode = noneRange = 115 - 5 = 110Q1 = (7 + 8)/2 = 7.5Q3 = (90 + 95)/2 = 92.5IQR = 92.5 - 7.5 = 85The data is skewed left as the mean and median are too differenet
Find the x- and y-intercepts of the equation - 4x + 2y = 20
Answer:
y-intercept: 20
x-intercept: 5
Step-by-step explanation:
First, you want to rearrange the equation to make y on one side
2y=20-4x
Next, the y-intercept is 20.
Then to find the x-intercept, you have to make the equation equal to 0.
20-4x=0
Now, you solve for x.
20-4x=0
-4x=-20
-x=5
x=5
The x-intercept is 5.
Please answer quickly Attachment down below
Answer:
He needs to find the area of each lateral face plus the area of the base. The total surface area is 84.
Step-by-step explanation:
area of a triangle= b×h×1/2
therefore area of each triangle(lateral face)= 6×4×1/2= 12
12×4 because there are 4 triangles=48
then the area of the base= 6×6= 36
total surface area= 36+ 48=84
The table represents the metric volume measure of a liter. Each amount is represented by its power of 10.
A 2-column table with 5 rows. Column 1 is labeled Unit with entries centiliter, liter, hectoliter, kiloliter, megaliter. Column 2 is labeled Power of 10 with entries 10 Superscript negative 2, 10 Superscript 0, 10 squared, 10 cubed, 10 Superscript 6.
Complete the work to determine how many times larger a megaliter is than a hectoliter.
1. Divide powers:
106
102
2. Expand each power:
10 • 10 • 10 • 10 • 10 • 10
10 • 10
3. Divide common factors:
10 • 10 • 10 • 10 • 10 • 10
10 • 10
4. Simplify.
A megaliter is
times larger than a hectoliter.
The megaliter is 10,000 times larger than a hectoliter
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
1 mega liter = 10⁶ Liter
1 hectoliter = 10² Liter.
Hence, a megaliter is 10,000 (10⁶/10²) times larger than a hectoliter
Find out more on equation at: https://brainly.com/question/2972832
Step-by-step explanation:
Answer:
10,000
Step-by-step explanation:
Got it right on the assignment.
express 0.23 (bar) in the form of p/q
Answer:
[tex]0.\overline{23}= \frac{23}{99}[/tex]
Step-by-step explanation:
Let [tex]x = 0.\overline{23}[/tex]....(1)
Multiply both sides by 100.
[tex]100x = 23.\overline{23}[/tex]....(2)
Subtracting equation (1) from equation (2)
[tex]100x -x= 23.\overline{23}-0.\overline{23}[/tex]
[tex]\implies 99x= 23[/tex]
[tex]\implies x= \frac{23}{99}[/tex]
[tex]\implies\huge{\orange{ 0.\overline{23}= \frac{23}{99}}}[/tex]
please show work 2. Which equation represents the line whose slope is 6 and whose y-intercept is 2?
A. y = 2x + 6
B. 2y + 6x = 0
C. y = 6x + 2
D. y + 2x = 6
We are given the line's slope and the line's y-intercept (the point where the line touches the y-axis)
It's easier to write the equation in Slope-Intercept Form, which looks like so:-
[tex]\boxed{y=mx+b}[/tex]
where m -> slope of the line & b -> y-intercept
Instead of m, you should plug in 6:-
y=6x+b
Instead of b, you should plug in 2:-
y=6x+2 ✓
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
The ordered pair (3,-2) is a solution to the system of inequalities,
y<x-3
y2-X-2
True
False
Hiroko is trying to find the value of d in 10d + 490 = 2,500. he starts by correctly rewriting the equation as 10(d + 49) = 10(250). How could this help Hiroko figure out the value of d?
Answer:
Hiroko removed common factors, which leads to smaller numbers, which can be easier to work with.
Step-by-step explanation:
However, this step is not entirely needed in the grand scheme of solving the problem. It simply uses smaller numbers to digest.
Do the opposite of PEMDAS when isolating the variable, d. Note the equal sign, what you do to one side of the equal sign, you do to the other.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction.
First, subtract 490 from both sides of the equation:
10d + 490 (-490) = 2500 (-490)
10d = 2500 - 490
10d = 2010
Next, divide 10 from both sides of the equation:
(10d)/10 = (2010)/10
d = 2010/10
d = 201
201 is your value for d.
~
Why wont anyone give me just the answers when i need them?
Answer:
id.k maybe because people are busy ,
i think the same as you.
Step-by-step explanation:
I'LL MAKE YOU BRAINLIEST IF YOU ANSWER THIS
In the triangle shown, the ratio of the height to the length of the base is 3:4.
Chose True or False on A-C.
A. The area of the triangle is twice the area of a parallelogram with the same base and height
B. The height is 3/4 the base length.
C. The area is 8.64 mm²
Answer:
A. False
B. True
C. True
Step-by-step explanation:
A: Area of traingle = 1/2 × Base Length × Height
Area of parallelogram = Base Length × Height
Therefore, Statement A is False.
B: Base on the ratio for height to base length 3:4,
Statement B is True.
C: Base Length = 4.8 ÷ 4 × 3
= 3.6 mm
Area of Triangle = 1/2 × Base Length × Height
= 1/2 × 3.6 × 4.8
= 8.64mm²
Therefore, Statement B is True.
i’m not sure how to do this any help would be great
Answer:
785.4cm^3
Step-by-step explanation:
(10÷2)^2*π=25π
25π*10=250π≈785.4
In a class of 28 pupils, if 12 are females. Calculate the ratio of males : total
Answer:
16 : 28
Step-by-step explanation:
If 12 out of the 28 pupils are female, we can calculate the number of males by subtracting the number of females from the total number of pupils.
28 - 12 = 16
So, there are 16 males in the class. Now, we know that the ratio of males : total is 16 : 28.
I hope this helps! Have a lovely day!! :)
(brainliest is much appreciated!!)
Answer:
give they guy brainliest
Step-by-step explanation:
because hes right
25 POINTS! Omilia is making chapatis by mixing flour and water in the ratio of 1 : 3. She starts by mixing 2.5 cups of water with 4 cups of flour. How many more cups of water does she need?
Answer: Below
Step-by-step explanation:
We know that water must be three times flour, so our end goal is 12 cups of water, since 4 * 3 = 12.
We already have 2.5 and 4, so we make the equation:
2.5 + x = 12
Simplify.
x = 7.5
Our answer is 7.5
A large box of crackers weighs 20 oz. If James needs 3 pounds of crackers for a party, how many boxes of crackers should he buy?
The graph of an exponential model in the form y=a•b^x passes through the points (3,5) and (4, 10).
Which point is also on the graph?
Answer:
Option C
Step-by-step explanation:
Attached photo might help you out
Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park. If she grows 5 inches during the next year, Aisha will still not be tall enough to ride. In the context of this situation, what does the inequality x less-than 43 represent?
PLS HURRY THX AND NO LINKS
Answer:
The inequality represents that height of Aisha is less than 48 inches.
Step-by-step explanation:
Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park.Let she is x inches tall at presentShe grows 5 inches during the next yearSo, Her height after 1 year = x+5 inchesSince we are given that Aisha will still not be tall enough to ride.Thus the inequality represents that height of Aisha is less than 48 inches.
Someone please
help me I can’t solve this for the life of me!!!!
Answer:
I would think that It is the first one but if it is not trust the other people
Step-by-step explanation:
(0,3) and (5,13) what is the answer
Answer:
if you're asking for the slope the answer is 2
Step-by-step explanation:
i hope your asking for slope
A store pays $98.25 for a surfboard and marks the price up by 40%. What is the amount of the mark-up?
What is the interest rate if a principal of $572 earns $228.80 in interest in four years?
Answer:
the answer is 10% if it is simple interest you're talking about.
Which of the following are solutions to the equation below?
Check all that apply 25x(squared) - 16 = 0
[tex]~~25x^2-16=0\\\\\implies (5x)^2 -4^2 =0\\\\\implies (5x+4)(5x-4)=0\\\\\implies x = -\dfrac{4}5, ~~~x=\dfrac 45[/tex]
My sister needs help again quick
mistake: the storm trooper used the wrong order of solving the problem, you first do × and : and then + and -
correct answer:
6×7-16:4
= 42-4
= 38
A string 1 metre long is cut into 3 pieces, A,B and C. A is 10 cm long and C is 30 cm long, find the ratio of the lengths of A to C to B
Answer:
The semi annual compound interest of a sum of money in 1 year and 2 years are Rs. 2100 and Rs. 4641 respectively, find the rate of interest and the sum.
Two triangles make a parallelogram ABCD. The area of triangle BCD is 15 square meters. DC is the base of the parallelogram and is 6 meters long. What is the height?
Answer:
Area of a parallelogram is a region covered by a parallelogram in a two-dimensional plane. In Geometry, a parallelogram is a two-dimensional figure with four sides. It is a special case of the quadrilateral, where opposite sides are equal and parallel. The area of a parallelogram is the space enclosed within its four sides. Area is equal to the product of length and height of the parallelogram.
Step-by-step explanation:
Area = b × h Square units
If V(-5, -2) is
reflected in the line
y = -6, what are
the
coordinates
of V?
Answer:
(-5, - 10 )
Step-by-step explanation:
y = - 6 is a horizontal line parallel to the x- axis passing through all points with a y- coordinate of - 6
under a reflection in this line the x- coordinate of the point V is the same
V (- 5, - 2 ) with y- coordinate - 2 is 4 units above y = - 6
the reflected point will therefore be 4 units below y = - 6, that is - 10 , then
V (- 5, - 2 ) → V' (- 5, - 10 )
Measia rode her bike 174 miles in six days, riding the same distance each day. Jamal rode his bike 135 miles in five
days, riding the same distance each day. Which of the following statements is true?
Answer:
6
Step-by-step explanation:
, , , , ,, , , , , , , , ,sssss
Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon.
The radius of the balloon given the information in the question is 8.98cm.
What is the radius of the balloon?The first step is to determine the volum of the balloon.
Volume = 81π cm^3 x 12 = 972π cm^3
Now, determine the radius using this formula:
∛[Volume / (4/3π )]
∛[972π cm^3/ (4/3π )] = 8.98cm
Here is the complete question:
Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon. What is the radius of the balloon?
To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125
Given A, B and C are sets, consider the following text:
(1) If B ∩ C = ∅ and A ⊂ (B ∪ C) then (A ∪ B) ∩ C = A ∩ B
(2) A ∪ (B ∩ C) ⊂ (A ∪ C) ∩ B
(3) If set A has 9 elements, set B has 7 elements and power set of A - B has 32 elements then power set of B - A has 16 elements.
Which statements are correct?
A. (1) and (2) are correct but (3) is not.
B. (1) and (3) are correct but (2) is not.
C. (2) and (3) are correct but (1) is not.
D. All are correct.
E. All are incorrect.
Let's check one by one
#1
B$\cap$ C=ØAnd
A$\subset$ (B U C)A$\subset$ B U A$\subset$ CTill now it's ok but
(A UB)$\cap$ CA$\cap$ C U B$\cap$CBut as B$\cap$ C has no elements this expression yields A$\cap$ C
Hence
False#2
Solve RHS
(A UC )$\cap$ BA$\cap$ B U B$\cap$ CBut according to first statement second part has no elements so it yields only
A$\cap$ BAnd
It denotes to common elements of A and B not all elements of A
Hence
False#3
[tex]\\ \rm\Rrightarrow P(A-B)=32[/tex]
[tex]\\ \rm\Rrightarrow 2^{|A-B|}=32[/tex]
[tex]\\ \rm\Rrightarrow 2^{|A-B|}=2^5[/tex]
[tex]\\ \rm\Rrightarrow |A-B|=5[/tex]
[tex]\\ \rm\Rrightarrow A-B=\pm 5[/tex]
As elements can't be negative integer it's only 5.
[tex]\\ \rm\Rrightarrow A\cap B=A-(A-B)=9-5=4\star[/tex]
And
[tex]\\ \rm\Rrightarrow P(B-A)=16[/tex]
[tex]\\ \rm\Rrightarrow 2^{|B-A|}=16[/tex]
[tex]\\ \rm\Rrightarrow 2^{|B-A|}=2^4[/tex]
[tex]\\ \rm\Rrightarrow |B-A|=4[/tex]
[tex]\\ \rm\Rrightarrow B-A=\pm 4[/tex]
Again take it positive 4
[tex]\\ \rm\Rrightarrow B\cap A=B-(B-A)=7-4=3[/tex]
As
[tex]\\ \rm\Rrightarrow A\cap B\neq B\cap A[/tex]
This statement is falseConclusion:-All statements are incorrect
Option E