Please state your answer and explain clearly how you got to your answer. Please clarify and be specific. Thank you so much for you help!
Answer:
D. 1200 gallons
Step-by-step explanation:
Fractions of the total are given, as is the quantity the difference of those fractions represents. These can be used to write an equation to find the total.
SetupLet g represent the total number of gallons of fuel sold. Then the number of gallons of 87-octane sold is 0.50g, and the number of gallons of 89-octane sold is 0.35g. The difference is said to be 180 gallons:
0.50g -0.35g = 180
SolutionCollecting terms gives ...
0.15g = 180
Dividing by the coefficient of g, we find ...
g = 180/0.15 = 1200
The gas station sold 1200 gallons of fuel last weekend.
__
Additional comment
That's 600 gallons of 87-octane; 420 gallons of 89-octane; 120 gallons of 92-octane; and 60 gallons of 99-octane.
pls help
Find the area of the shape.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
the sum of the length of a side of two squares is 18cm and the sum of their areas is 212 cm^2. find the length of a side of the smaller square
Answer:
Hope the picture will help you......
HELP PLEASE!!! I NEED ITTTTT!!!!!
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!
Instructions
For this option, you will work individually.
Part 1: Collect Data
In order to complete your assignment, you will need to collect some data.
The first five data points have been provided for you.
Age
(years) Number of U.S. States Named in 60 Seconds
5 7
15 42
25 49
35 35
65 50
Take a survey of at least five more people. You need a watch, stopwatch, or timer.
First, record the age of the person you are surveying.
Next, ask the person to name as many U.S. states as possible in 60 seconds. Keep a count, and watch your timer. Record each person’s data next to his or her age.
Repeat this with at least five people, and be sure to survey a range of ages, from young to old.
Part 2: Organize Your Data
Create a table of values using the age and number of U.S. states named in 60 seconds.
A graph is provided with the first five points plotted. Use your table to add your five data points to the scatter plot.
You may create a new graph from scratch, containing all 10 points, print the sample graph and add your data, or save the sample as an image and use a drawing program to add your data to the image. If you choose to print and draw by hand, you need to be able to scan and upload your work at the end of the project.
A coordinate plane is shown. The x axis is labeled age in years and the y axis is labeled number of U.S. States named in 60 seconds. Five data points are already plotted on the graph. These points are located at 5 comma 7, 15 comma 42, 25 comma 49, 35 comma 35, and 65 comma 50.
Draw a line of best fit through your scatter plot. Draw by hand on your printed graph or use a drawing program on your computer to create the line.
Part 3: Drawing Conclusions
How did you decide where to place your line of best fit? Describe your reasoning.
Based on your data, describe the relationship between age and the number of U.S. states a person can name in 60 seconds.
Do you see any areas in your data or points that could be considered clusters or outliers? Explain your answer in complete sentences.
find data points or make up 5 new subjects first
linda 34 y/o, 50 states
bob 65, 47 states
sarah 12, 14 states
terry 23, 28 states
cindy 46, 41 states
plot these points along with the others then draw a line from (0,0) to the top of the x y plane passing through as many point as possible
create a table of values for this information afterward
Simplify :
-4.7 + 6.5n - 5 ( 1.2n - 3)
Answer:
QSWCXAD
Step-by-step explanation:
QSQWW
Answer:
10.8
Step-by-step explanation:
Please help me with the question below 10 points each pls explain as well or I'll report you thanks :)
Answer:
middle
Step-by-step explanation:
if x = 1/r + 1 then solve the equation xr + 2/3 = 2r (show your work)
If [tex]x = \frac{1}{r} +1[/tex]
We have:
[tex]xr + 2/3 = 2r\\ < = > xr - 2r = -2/3\\ < = > (x - 2)r = -2/3\\ < = > (1/r + 1 -2) r = -2/3\\ < = > (1/r - 1)r = -2/3\\ < = > (1/r)r - (1)r = -2/3\\ < = > 1 - r = -2/3\\ < = > r = 1 + 2/3 = 5/3[/tex]
ANSWER: r = 5/3 if x = 1/r + 1
Ok done. Thank to me :3
Ariana was looking at rent costs for 555 apartments. Each rent was a different amount between \$1{,}000$1,000dollar sign, 1, comma, 000 and \$1{,}400$1,400dollar sign, 1, comma, 400 per month, except for one apartment whose rent was \$4{,}800$4,800dollar sign, 4, comma, 800 per month. [Show data]
Ariana looked at the mean and median of the rents. Then, she decided to remove the \$4{,}800$4,800dollar sign, 4, comma, 800 rent from the set and recalculate the mean and median.
How will removing this rent affect the mean and median?
The way that this action is going to affect the mean and the mean and the median value would be decreased than what it was supposed to be.
What is the mean?In a frequency distribution, the mean is the number that is used to represent the average of a group of data. To get the mean, you have to add up the numbers in the data set and divide by the total number in the data set.
The formula is fx/n
When the average of $4800 is removed from the data set, the mean is going to decrease by the number and the value of fx would also decrease. Hence we can conclude that it would cause the value to reduce.
The median is the middle value, it would also cause the median in the data set to be smaller than it was.
Read more on mean and median here:
https://brainly.com/question/6281520
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(07.06) Which of the following graphs shows all the possible values for a number that is more than 8?
Number line with closed circle on 8 and shading to the left.
Number line with closed circle on 8 and shading to the right.
Number line with open circle on 8 and shading to the left.
Number line with open circle on 8 and shading to the right.
Please get to me soon!!!
Answer:i think C or E!
Step-by-step explanation:
Answer:
Its either C or E, I'm not sure
20 POINTS+BRAINLIEST 8TH GRADE MATH: estimating integers between square roots
repost because the file wouldn't upload
Answer:
Q1: C
Q2: F
Q3: C
Step-by-step explanation:
Question 7:
100(3+0.2)^2 -24
According to
P arenthesis
E xponents
M ultiplication
D ivision
A ddition
S ubtraction
We must do the parenthesis first.
100 ( 3 . 2 ) ^ 2 - 24 =
Then exponent
100 * 10 . 24 - 24 =
then multiplication
1024 - 24 =
and finally subtraction
1000 (Option C)
________________________________________________________
Question 8:
Sqrt 50 = 7.07
Sqrt 60 = 7.75
7.07 + 7.75
14.81, which is between 14 and 15, answer choice F
________________________________________________________
Question 9:
A = 13
B = 13
C = 25+36 = 7.81
D = 13
Answer is C, which is the only one which is between positive integers 7 and 8.
Answer:
7) C. 1000
8) F. 14 and 15
9) C. [tex]\sf \sqrt{5^2 + 6^2}[/tex]
Explanation:
7.
⇒ 100(3 + 0.2)² - 24
⇒ 100(3.2)² - 24
⇒ 100(10.24) - 24
⇒ 1024- 24
⇒ 1000
8.
⇒ √50 + √60
⇒ [tex]\sf \sqrt{2 \ \times \ 5^2} + \sqrt{2^2\:\times\: 15}[/tex]
⇒ [tex]\sf 5\sqrt{2 } + 2\sqrt{ 15}[/tex]
⇒ 7.071 + 7.745966
⇒ 14.817
So, it lies between 14 and 15.
9.
A, B, D when simplified gives 11 as an answer.
When simplify C,
[tex]\sf \sqrt{5^2 + 6^2}[/tex]
[tex]\sf \sqrt{25 + 36}[/tex]
[tex]\sf \sqrt{61}[/tex]
[tex]\sf 7.8102396[/tex]
This value lies between 7 and 8.
So far this year, Adam has played 30 games of chess and has only won 6 of them. What is the minimum number of additional games he must play, given that he is sure to lose at least one-third of them, so that for the year he will have won more games than he lost?
A) 24
B) 57
C) 87
D) It is not possible for Adam to do this.
The correct answer is B) 57, but not sure how?
Answer:
Step-by-step explanation:Yikes. Just so we’re all clear—this is not a real SAT question.
So far, Adam’s record is 6 wins/30 games. If he plays x more games, his record will be:
image
You find the minimum x such that the fraction is greater than ½, which would mean he won more than ½ of his games.
Let’s do some math!
image
So if he plays 54 more games, and wins 2/3 of them, he’ll have the same number of wins as losses. Check on that to make sure: He’ll have played 30 + 54 = 84 games, and won 6 + (2/3)54 = 42 of them. Yep, that works.
Now here is where it gets tricky (and why this question is not SAT-caliber). Remember that he’s losing 1/3 of his games. If his 52nd, 53rd, and 54th additional games were win, win, loss, then he would have had, very briefly, a winning record after his 53rd additional game.
His 55th additional game is another chance at a winning record. If he loses that game, then he’ll win the next two, and have a winning record for sure by the 57th additional game. From there, if he continues winning 2/3 of his games, he’ll have a winning record forever.
How many 5-digit numbers can be formed from using numbers 0-9?
Answer:
100,000
Step-by-step explanation:
From 0 to 99,999.
99,999 + 1 = 100,000
Also, there are 5 digits, and each digit can be one of ten.
10 × 10 × 10 × 10 × 10 = 100,000
Answer:
90 000 possibilities
Step-by-step explanation:
I will assume that numbers beginning with 0 are not valid
AND assume you can repeat the numbers
9 choices for first digit ( because you can't use ' 0 ' )
10 choices for second
10 choices for third
10 choices for fourth
10 choices for last
9 x 10 x 10 x 10 x 10 = 90 000
A bank gives each new customer a 4-digit code number which allows the new customer to create their own password. The digits are 1, 3, 5, 7 with no digits repeating. What is the possibility the password does not contain 5, that the number will start with 371?
Answer:
firstly it is a four number combo with no repeating numbers so it has to include 5 but if you mean it like you said it 0
Step-by-step explanation:
sry i read it wrong the first time
Answer:
ZERO probability
Step-by-step explanation:
POSSIBLE combos 4 x 3 x 2 x1 = 24 possible combos
if it starts with 371 then the only choice for the 4th digit is 5
but no combo can have a 5 (per question)
so there are ZERO chances of this happening
Q1 Write the number in expanded form for the significant digits ( as fractions)
117.000
20.018
13.265
3.4000
0.8100
Q2 - Write the difference in place value of the underlined digits
ex . 12.352 - 2 in the ones place is 1000x bigger than the 2 in the thousandths place
1568.156 ( both of the 5s are underlined)
03.3000 ( both of the 3s are underlined)
5164.66 ( both of the 6s are underlined
9.09 ( the 9s r underlined)
To write in expanded form is to simply mean writing each number into its place value.
PLEASE HURRY!!!!! Which statement describes the situation shown in the graph?
Answer:
Sales increase with a decrease in the price.
Step-by-step explanation:
Which table represents a linear function?
o 16 30 one
as it forms a pattern
20 POINTS+BRAINLIEST 8TH GRADE MATH PART 2: number sequence
please explain the steps in simple language and as always any answers for the sake of points will be reported :))
Answer:
64
Explanation:
Sequence: -27, -8, -1, 0, 1, 8, 27,...
Identify the type of sequence. Looking at the sequence, it appears it is a cubic sequence with a formula: x³
Shown truth:
(-3)³ = -27(-2)³ = -8(-1)³ = -1(0)³ = 0(1)³ = 1(2)³ = 8(3)³ = 27Next number in this sequence:
(4)³ = 64Marita spent $13.0 at the grocery store. She bought pears, kiwis and pineaples. Pears cost $0.50 each, pineapples cost $1.50 each, and kiwis are $0.30 each. how many of each kind of fruit did she buy if she bought 9 more pears than pineapples and 2 fewer kiwis than pears?
Answer:
◘ 12 pears
◘ 3 pineapples
◘ 10 kiwis
Step-by-step explanation:
Let [tex]x[/tex] be the number of pears bought.
Therefore:
• number of pears = [tex]x[/tex]
• number of pineapples = [tex]x - 9[/tex]
• number of kiwis = [tex]x - 2[/tex]
We know that the total cost was $13.50.
This means if she bought [tex]x[/tex] pears at $0.50 each, [tex](x - 9)[/tex] pineapples at $1.50 each, and [tex](x -2)[/tex] kiwis at $0.30 each, the total would be $13.50.
∴ [tex][x \times 0.50] + [(x-9) \times 1.5] + [(x-2) \times 0.3] = 13.50[/tex]
Expanding and multiplying:
⇒ [tex]0.5 x + 1.5x - 13.5 + 0.3x - 0.6 = 13.5[/tex]
Collect like terms:
⇒ [tex]2.3x -14.1 = 13.5[/tex]
Solve for [tex]x[/tex]:
⇒ [tex]2.3x = 13.5 + 14.1[/tex]
⇒ [tex]2.3 x = 27.6[/tex]
⇒ [tex]x = 27.6 \div 2.3[/tex]
⇒ [tex]x = \bf 12[/tex]
Therefore, she bought:
• 12 pears
• [tex]x - 9[/tex] = 12 - 9 = 3 pineapples
• [tex]x - 2[/tex] = 12 - 2 = 10 kiwis
Marita bought 12 pears, 3 pineapples and 10 kiwis.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
Let x the number of pears bought,
y the number of pineapples bought,
z the number of kiwis bought,
Given that, Marita bought 9 more pears than pineapples and 2 fewer kiwis than pears,
y + 9 = x
y = x -9 and
z + 2 = x
z = x - 2
We know that the total cost was $13.50.
This means if she bought pears at $0.50 each, pineapples at $1.50 each, and kiwis at $0.30 each, the total would be $13.50.
∴ 0.50x + 1.50y+ 0.30z = 13.50
Substitute the values of y and z in equation,
⇒ 0.50x + 1.50(x -9)+ 0.30(x - 2) = 13.50
Expanding and multiplying terms in equation,
⇒ 0.50x + 1.50x -13.50+ 0.30x - 0.60 = 13.50
Rearrange the like terms and apply the arithmetic operation
⇒ 2.3x - 14.1 = 13.50
⇒ 2.3x = 13.50 + 14.1
⇒ 2.3x = 27.6
⇒ x = 27.6/2.3
⇒ x = 12
Therefore, the number of pears bought = 12
So, the number of pineapples bought = 12 - 9 = 3
And the number of kiwis bought = = 12 - 2 = 10
Hence, Marita bought 12 pears, 3 pineapples and 10 kiwis.
Learn more about Arithmetic operations here:
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15 PTS WILL MARK BRAINLIEST
Add [tex](72ab+21a^{3} b^{2} +53a^{3} ) & (-23ab+17a^{2} b^{3} + 5a)[/tex]
Answer:
It is equal to:
49ab + 21a^3 b^2 + 17a^2 b^3 + 53a^3 + 5a
Step-by-step explanation:
Answer:
-1656a2b2+1224a3b4+360a2b-483a4b3+357a5b5+105a4b2-1219a4b3+901a5b3+265a4
Step-by-step explanation:
distibute
Manu borrowed Rupees 8500 at the rate of 5% interest per annum for 150 days. Find the interest and amount he paid
Answer:
See below
Step-by-step explanation:
5% interest = .05 :
8500 x .05 x 150days /365 days/year = R 174 .66 = interest......
then amount to be paid = 8500+ 174.66 = R 8674.66
PLEASE!!!!! I REALLY NEED THIS ASAP!!!
Can some please explain how to do this ?
Answer:
[tex]4^{2} = 4 x 4 =16[/tex]
Step-by-step explanation:
First of all we need to understand what a perfect square is:
It is an integer which is the square of another integer integer; in other words, it is the product of some integer with itself.
For example: 9, this is a square number since itt equals [tex]3^{2}[/tex] and 3x3 = 9
Katalin drove 300 miles on her vacation. She drove an average of 1.9 times faster on the second 150 miles of her trip than she did on the first 150 miles of her trip. Which expression represents the time she spent driving? Let x = her speed on the first half of the trip. Can someone explain how to get the answer? I am very confused
help please <3 help please <3 help please <3
Answer:
[tex]w=\frac{420}{p}[/tex]
Step-by-step explanation:
So generally a direct proportion can be expressed as:
[tex]k=\frac{y}{x}[/tex]
essentially where the y/x is equal to some constant value.
Whenever you have an inverse proportion, you can generally express it as:
[tex]k=xy[/tex]
where the product of x and y is equal to some constant value.
So we can check for inverse proportion, by seeing if the xy product is constant
1 * 420 = 420
2 * 210 = 420
3 * 140 = 420
Since the xy (or technically wp, or in general the product of the independent variable and dependent variable) product is constant, this relationship can generally be expressed as: [tex]wp=420[/tex]
We can divide both sides by p, so we can isolate the dependent variable (p)
[tex]w=\frac{420}{p}[/tex]
Solve for x.
Your answer must be simplified.
x+5≤−4
Answer:
x ≤ -9
Step-by-step explanation:
to solve this equation you must subtract 5 from both sides
you get
x ≤ -9
that is your answer
PLEASE HELP
What is the area of the triangle pictured?
516 sq. units
896 sq. units
448 sq. units
224 sq.units
Answer:
224
Step-by-step explanation:
a = (bxh)/2
a = (28x16)/2
a = 448/2
a = 224
Answer:
224 Sq. units
Step-by-step explanation:
A=16x28= 448 sq
=448/2
=224 Sq. units
I hope it's right
A spinner has numbers 1-10, all evenly spaced, is spun twice. What is the probability that the second spin lands on a space adjacent to the space where the first spin landed?
Answer:
.20 or 20%
Step-by-step explanation:
100 possible sets of two spin combos
20 result in the desired 'next-door ' combo
20/100 = .20 or 20 %
pls help best u can
What is the range of possible sizes for side x?
Triangle LMN is a right triangle, and angles L and N are equal. What is the measure of angle L?
Answer:
45 degrees
Step-by-step explanation:
OK so
is L and N are equal you can represent that as 2x
the remaining angle should be 90 because right triangles always have a 90 degrees angle somewhere
you know that all three angles of a triangle add up to 180 so that's what the total is
2x+90=180
subtract 90 from both sides
2x=90
divide both sides by 2
x=45