The constant rate of gas consumption gives an equal number of miles per
gallon of gas.
The number of miles per gallon Maria drove is 23.5 miles per gallon
Reasons:
The known information are;
Initial volume of gas in the tank = The tank was filled up
The distance in miles Maria drove = 329
The number of gallons with which Maria filled the tank = 14 gallons
Number of miles driven on each gallon = The same number of miles
Required:
The number of driven per gallon
Solution:
The number of miles driven per gallon is therefore;
[tex]Miles \ per \ gallon = \dfrac{329 \ miles}{14 \ gallons} = 23.5[/tex]
Therefore, Maria drove 23.5 miles per gallon of gas
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Find the value of x in the figure below:
Answer:
x = 25
Step-by-step explanation:
The interior angle adjacent to the 123° angle is supplementary to it.
Its measure is 180° - 123° = 57°
The sum of the measures of the interior angles of a polygon is
(n - 2)180° = (4 - 2)180° = 2(180°) = 360°
3x + 7 + 96 + 5x + 57 = 360
8x + 160 = 360
8x = 200
x = 25
Anna has already baked 17 pies, and she plans to bake more pies. With each 1 cup of sugar, she can bake two pies. Anna has 11 additional cups of sugar. How many total pies can Anna bake?
The total pies Anna can bake is 22.
The total pies Anna can bake would be determined by the amount of cups of sugar she has. Anna has already baked 17 pies. From the question, one cup of sugar can bake two pies. This means that the number of additional cups she has would be multiplied by two in order to determine the total number of pies she can bake.
Pies Anna can bake = additional cups of sugar x 2
11 x 2 = 22 pies
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What is the slope of this line? Enter your answer as a whole number or a fraction in simplest form in the box.
To find the slope, we will use the slope formula and two points that are on the line. You can choose any two points as long as they are on the line.
Point 1 = (0, -2)
Point 2 = (-2, 0)
Slope-Formula: (y2 - y1) / (x2 - x1)
Now that we know our two points and the slope formula, all that's left to do is plug the points into the formula and simplify.
(0 - - 2) / (-2 - 0)
(2) / (-2)
-1
The slope of the line is -1.
Hope this helps!! :)
Answer: -1
Step-by-step explanation:
-6/6= -1
In a class of 29 students, 10 are female and 20 have an A in the class. There are 2 students who are male and do not have an A in the class. What is the probability that a female student does not have an A?Answer this
Answer:
The probability would be 3 out of the 10 girls
Step-by-step explanation:
The probability that a female student does not have an A on the test is 7/29.
What is the probability that a female student does not have an A?
Probability is mathematical operation that is used to determine how likely a stated event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that a female student does not have an A = number of females that do not have an A / total number of females
(29 - 20 - 2 )/ 29 = 7/29
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90000 1000 + 7000 + 7 =
Answer:
900,008,007
Step-by-step explanation:
first add 90000,1000 +7000=900,008,000
then add 7 with 900,008,000
Answer =900,008,007
How can you compare data sets?
When you compare two or more data sets, focus on four features:
Center. Graphically, the center of a distribution is the point where about half of the observations are on either side.
Spread. The spread of a distribution refers to the variability of the data. ...
Shape. ...
Unusual features.
Answer:
Common graphical displays (e.g., dotplots, boxplots, stemplots, bar charts) can be effective tools for comparing data from two or more data sets.
Step-by-step explanation:
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Find the slope and y-intercept for this table.
Answer:
See below:
Step-by-step explanation:
To find the slope, we use the following formula:
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
For this case, we can use (6,60) as the first set of points.
We can use (4,70) as the second set of points.
Now, we can use the formula, 70-60 is for the top of the fraction (10)
We can do 4-6 to find the bottom, which is (-2)
Now, if we add the fraction back we get -> 10/-2 which is -5 for slope!
To find out the y intercept, it in simple words is "What is y when x is 0?".
We can do that by using the slope intercept formula: [tex]y=mx+b[/tex].
Once we insert our slope which is -2 we get: [tex]y=-2x+b[/tex]
We can now substitute a point, lets use (6,60) so we can find out b.
We now get the equation: [tex]60=-5(6)+b[/tex].
If we solve for that we get 90!
Once we input that, we get, [tex]y=-5x+90[/tex]
Now we put in x as 0 and we get our y intercept as 90!
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please solve it.......
Answer:
dy/dx = - (y/x)^4
Step-by-step explanation:
We are given the equation:
[tex] \displaystyle \large{ \frac{1}{ {x}^{3} } + \frac{1}{ {y}^{3} } = {a}^{3} }[/tex]
Recall important differential formulas such as:
[tex] \displaystyle \large{ \frac{d}{dx} (f(x) + g(x)) = \frac{d}{dx} f(x) + \frac{d}{dx} g(x)} \\ \displaystyle \large{ \frac{d}{dx} k = 0 \: \: \tt(k \: \: is \: \: a \: \: constant.)}[/tex]
Above is a basic property of differential. Looking at the equation above, differentiate both sides with respect to x. (dy/dx)
[tex] \displaystyle \large{ \frac{d}{dx}( \frac{1}{ {x}^{3} } + \frac{1}{ {y}^{3} } )= \frac{d}{dx} {a}^{3} }[/tex]
Apply the distribution property in.
[tex] \displaystyle \large{ \frac{d}{dx} \frac{1}{ {x}^{3} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = \frac{d}{dx} {a}^{3} }[/tex]
We treat x^3 and y^3 as function to one another, this type of differential will be called implicit once another variable of function is involved f(x,y).
But we treat a^3 as a constant so we just put 0.
[tex] \displaystyle \large{ \frac{d}{dx} \frac{1}{ {x}^{3} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 }[/tex]
Recall the quotient rules for the numerator = 1.
[tex] \displaystyle \large{ \frac{d}{dx} (\frac{1}{f(x)}) = -\frac{ \frac{d}{dx} (f(x))}{ {(f(x))}^{2} } }[/tex]
Thus:
[tex] \displaystyle \large{ - \frac{ \frac{d}{dy} ( {x}^{3} )}{ ({x}^{3})^{2} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 } \\ \displaystyle \large{- \frac{ 3 {x}^{2} }{ {x}^{6} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 }[/tex]
Make sure to recall power rules for differential and exponent laws.
From 3x^2 / x^6.
[tex] \displaystyle \large{ - \frac{ 3 }{ {x}^{4} } + \frac{d}{dx} \frac{1}{ {y}^{3} } = 0 }[/tex]
Now what do we do with 1/y^3? We just differentiate it normally but we multiply with dy/dx once we differentiate the y function.
[tex] \displaystyle \large{- \frac{ 3 }{ {x}^{4} } -\frac{ \frac{d}{dx}( {y}^{3}) }{ ({y}^{3})^{2} } = 0 } \\ \displaystyle \large{ -\frac{ 3 }{ {x}^{4} } - \frac{ 3 {y}^{2} }{ {y}^{6}} = 0 } \\ \displaystyle \large{ - \frac{ 3 }{ {x}^{4} } - \frac{ 3 }{ {y}^{4}} \frac{dy}{dx} = 0 }[/tex]
Solve for dy/dx, add both sides by 3/x^4.
[tex] \displaystyle \large{ - \frac{ 3 }{ {x}^{4} } + \frac{3}{ {x}^{4} } - \frac{ 3 }{ {y}^{4}} \frac{dy}{dx} = 0 + \frac{3}{ {x}^{4} } } \\ \displaystyle \large{ - \frac{ 3 }{ {y}^{4}} \frac{dy}{dx} = \frac{3}{ {x}^{4} } } \\ [/tex]
Divide both sides by - 3/y^4.
[tex] \displaystyle \large{ \frac{- \frac{3}{ {y}^{4} } \frac{dy}{dx} }{ - \frac{3}{ {y}^{4} } } = \frac{ \frac{3}{ {x}^{4} } }{ - \frac{3}{ {y}^{4} } } } \\ \displaystyle \large{ \frac{dy}{dx} = \frac{3}{ {x}^{4} } \times (-\frac{ {y}^{4} }{3} )} \\ \displaystyle \large{ \frac{dy}{dx} = \frac{1}{ {x}^{4} } \times (- \frac{ {y}^{4} }{1}) } \\ \displaystyle \large{ \frac{dy}{dx} = - \frac{ {y}^{4} }{ {x}^{4} } } \\ \displaystyle \large{ \frac{dy}{dx} = - ( { \frac{y}{x} })^{4}}[/tex]
Alonso is buying a new phone for $ 870
on the installment plan. He must put
down 15% and pay monthly payments
for one year. How much is each monthly
payment?
A.$13.05
B.$83.38
C. $61.63
D. $10.77
Answer:
A
Step-by-step explanation:
1. Get 15% of 870:
First, get 10 percent of 870, which is 87, then half that, which is 43.5
Get the 87 and add the 43.5 on it, to get the full 15%, you end up with $130.5, which is the monthly payment.
(Only problem is that im pretty sure you put an extra 0, because if you just wrote 87 dollar's then you would've got 13.05, the actual answer, but if you add an extra 0 then you end up with 130$, just to let you know.)
A) HL
B) Not enough information
C) AAS
D) SAS
simplify the expression. Please help me
Answer:
The answer is 19
Step-by-step explanation:
I forgot how I figured it out but I did
How much does each piece cost individually?
Answer:
500 for sofa
Step-by-step explanation:
Hey<3 If you help you’re amazing if you don’t you’re awesome.
============================================================
Check out the diagram below.
I've split the figure into 3 separate blocks. We calculate the volume of each block, then add up those volumes to get the final answer.
Block A = largest block on the leftBlock B = middle blockBlock C = smallest block on the rightSo,
volume of block A = length*width*height = 6*6*8 = 288 ft^3volume of block B = length*width*height = 6*6*5 = 180 ft^3volume of block C = length*width*height = 6*6*3 = 108 ft^3Therefore, the total volume we're working with is:
A+B+C = 288+180+108 = 576 cubic feet
The "cubic feet" or "ft^3" portion is already taken care of by your teacher, so you just need to type in the number itself.
EMERGENCY!!! WILL GIVE THE BRAINLIEST TO THE FIRST ONE RIGHT + 30 PTS!!!
Use the maps below to answer the following question: First image. A map of North America showing the regions of Native American cultures. Second image. A political map of the United States, with all 50 states labeled. Washington, Oregon, and California are on the west coast. Moving east, from north to south, Montana, Idaho, Wyoming, Nevada, Utah, and Arizona are next seen. Then, North Dakota, South Dakota, Nebraska, Colorado, Kansas, Oklahoma, New Mexico, and Texas are seen, from north to south, in the central US. East of those states, from north to south, Minnesota, Iowa, Missouri, Arkansas, and Louisiana are seen. Wisconsin, Michigan, Illinois, Indiana, and Ohio in the Midwest, and Pennsylvania and New York in the northeast, border the Great Lakes. Kentucky, Tennessee, Mississippi, Alabama, Virginia, North Carolina, South Carolina, Georgia, and Florida are in the southeast, with Florida jutting out as a peninsula. Maryland, West Virginia, Delaware, and New Jersey are between the southeast and northeast states. Connecticut, Rhode Island, Massachusetts, New Hampshire, Vermont, and Maine are in the northeast. Alaska and Hawaii are seen as islands. Public Domain © Andrew c Creative Commons, Attribution-Share Alike 3.0 Unported Compare the maps. Which state listed below was located in the Southwest Native American cultural region? Alabama Illinois Michigan Arizona
The state that was located in the Southwest Native American cultural region is Arizona.
The state has the highest indigenous population in the USA and is home to the Navajo, Hopi and Apache. Arizona was part of New Mexico until its surrender to the United States in 1848. It was the scene of many wars against the native peoples, especially the Apache, from the 1850s to 1877. It did not become a state until as recently as 1912.
On February 28, 1859, the first Indian reservation, the Gila River Indian Reservation, was established for the Pima and Maricopa Indians in the Arizona Territory. On June 1, 1868, the United States' largest reservation, the Navajo Nation Reservation, was established by a treaty between the United States and the Navajo State.
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Answer:
Arizona
Step-by-step explanation:
got it right on the test :)
Beth simplified the expression 8 + 10 + 8 + 2 minus (4 times 1.4) minus (4 times 1.4) to find the perimeter of the figure on the grid.
On a coordinate plane, a figure has side lengths of 8, 10, 8, 2, (4 times 1.4), (4 times 1.4).
What error did Beth make?
She found the area of the figure instead of the perimeter.
She subtracted the lengths of the diagonal lines instead of adding them.
She used 4 times 1.4 to represent the length of each diagonal line instead of 4.
She added the horizontal and vertical lengths instead of multiplying them.
Answer:
Step-by-step explanation:
the answer is 16.8
Explanation: well for starters you have to do what's in the parenthesis, so 4 times 1.4 is equal to 5.6. so now we add up the equation and get 28, so now we are left with 28-5.6-5.6 which equals 16.8
hoped this helped;)
Answer:
She subtracted the lengths of the diagonal lines instead of adding them.
Step-by-step explanation:
I need help, how do i solve the equations and get the degree for the circle
Answer:
D 130º
Step-by-step explanation:
3x-70=x+10
so 2x-70=10
x=40
Select the better deal in the pair. Then give the unit rate for the better deal.
$182/7g
or
$342/9g
Answer:182/7g
Step-by-step explanation: 182 divide by 7= 26
342 divide by 9=38
and you want the lowest cost so a.
A truck can be rented from Company A for $70 a day plus $0.50 per mile. Company B charges $40 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer: 300 miles, $220
Step-by-step explanation:
I also need help with this one.
Answer:
(0, 2)
Step-by-step explanation:
The x-coordinate is 0 because the y-intercept is where the line crosses the x-axis. The y-intercept is the number on its own in the equation (in the form y = mx + c)
Hope this helps!
What is six hundred seventy-eight and thirty-four hundredths written in standard form?
6,870.34
6,087.34
687.34
678.34
Answer: 678.34
Step-by-step explanation:
600 + 78 and 34 hundredths
678.34
I need help to find the side
Answer:
x = 10.55cm
Step-by-step explanation:
Sin 29 degrees = 7cm/x
X = 7cm / sin 29
= 10.55 cm
Answer:
x =14.4cm
Step-by-step explanation:
Sin x = opp/hyp
This is because we are given angle look into the triangle and see opp given =7 and need hypotenuse
Sin x = 7 / sin (29) = 14.4386574 cm = 14.4cm
This is because the opp is the 7 measure.
x = 14.4cm
We can prove the base is less through Pythagoras theorem
simply as c^2-b^2 = a^2
14.4386.....^2 -7^2 = c^2
sqrt 208.47 - sqrt 49 =c^2
c^2 = sqrt 159 = 7.43849023
therefore base = 7.44
To check angle 29 degrees for 3rd proof
cos (29) x 7/x= (x)
= 203 / x
check 203/29 = 7
Given a=7 and ∠α=29°,
b = 12.62833
c = 14.43866 proof
∠β = 61°
h = 6.12234
area = 44.19917
perimeter = 34.06699
inradius = 2.59484
circumradius = 7.2193
−a^3 b^5 is a polynomial or not
Answer:
notStep-by-step explanation:
HOPE IT HELPS YOUBTW GOOD DAY TO YOUBlaine subtracted 340,139 from 601,800 Is Blaine's answer correct? If not, explain why and write the correct answers.
Answer:
fsuu vvv
Step-by-step explanation:
gdcytzvnvdezcghiyyk for giving biscuits vicbeddings vicbeddings vicbeddings
how many 3/4s are in 1 2/4
Answer:
I think there is 6.
Step-by-step explanation:
Im not 100% sure tho :{
Hope this helps :}
Pls make brainliest :P
And have an amazing day <3
Decide whether the relation defines y as a function of x. Give the domain and range.
x+y<14
Answer:
i think it is like this. < means less than
Step-by-step explanation:
let x be a and let y be any number less than 14.
a + 5 < 14
a + 5 < 14
a + 5-5 < 14-5
a + 0 < 9
a < 9
Graph and solve the following system.
у= 2x + 3
y = -2x + 3
graphed in the image attached with points,
hope this helps :D
Use the distributive property.
4(5x + 3y – 7) = 20x + 12y + [?
Having a hard time with the last one.
Answer:
-28
Step-by-step explanation:
20x+12y-28=20x+12y+[?
subtract like term so 20x-20x and 12y-12y
therefore -28 =[?
Joseph is playing with blocks to create a design. With each step he continues to add
blocks. How many blocks will be required in the 5th and 6th step? Explain how you
know.
Answer:
times by 2 because it keeps going up by times 2 the number of blocks
9514 1404 393
Answer:
5th: 32
6th: 64
The number doubles at each step.
Step-by-step explanation:
Sequence problems are always tricky. Any finite list of numbers can always be represented by a polynomial, and can include any arbitrary next number. Generally, you are asked to find a simple rule that can explain the sequence shown and can be used to predict the continuation of the sequence.
It is often useful to look at the differences between values and/or their ratios. The sequence of block counts is ...
2, 4, 8, 16
1st differences are 4 -2 = 2, 4, 8 . . . . . the differences match the sequence
ratios are 4/2 = 2, 8/4 = 2, 16/8 = 2 . . . . . . the ratio is common: 2
We observe that each number of blocks is double the one before, and that the number of blocks is a power of 2 equal to the step number.
The blocks in the 5th step will be 2^5 = 32.
The blocks in the 6th step will be 2^6 = 64.
_____
Additional comment
It also looks like the shape alternates between a rectangle and a square. The 5th step will probably be a rectangle, and the 6th step will be a square.
What is 2+1000000000
Answer:
the answer
1000000002
If 6 spiders can spin 6 webs in 6 minutes how long will it take 100 spiders to spin 200 webs
Answer:
200 minutes
Step-by-step explanation:
if six spiders can spin 6 webs in 6 min then 100 spiders can spin 100 webs in 100 min then multipy by 2 and you get 200
The amount of time that 100 spiders can spin 200 webs will be 12 minutes.
What is Algebra?Algebra is the study of graphic formulas, while logic is the manipulation of those signs.
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule is applied.
If 6 spiders can spin 6 webs in 6 minutes. Then the 1 spider can sin one web in six minutes. So, the 100 spiders can spin 100 webs in 6 minutes.
Then the 100 spiders can spin 200 webs in 12 minutes.
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