Answer:
y = 4x + 6Step-by-step explanation:
Clyde has x crayons.
Amanda has y crayons.
The equation:
y = 4x + 6
Segment AB is completely rotated about the y-axis to form a 3-D figure. Find the volume of the figure. The
length of AB is 6.
Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](6)^{3}[/tex]
= [tex]\frac{88}{21}[/tex] x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.
A line passes through the point (8,-5) and has a slope of 5/4. Write an equation in slope intercept form for this line.
Answer:
y = 5/4x-15
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 5/4x+b
Substitute the point into the equation and solve for b
-5 = 5/4(8)+b
-5 = 10+b
Subtract 10 from each side
-5-10 = b
-15 = b
y = 5/4x-15
Step-by-step explanation:
y-y'=m(x-x')
y-(-5)=5/4(x-8)
y+5=5x/4-10
4(y+5)=4(5x/4)-10(4)
4y+20=5x-40
4y-5x=-40-20
4y-5x=-60
5x-4y-60=0
y=5x/4-15
Tyrell bought 6 video games this summer. Each game cost 27 dollars. If Tyrell had 379 dollars left after he bought the video games, how much money did he start with?
Taking into account the total amount of money spent on the games and the money that Tyrell had left after he bought the video games, Tyrell started with $541.
Total amount of moneyFirst you must know the total amount of money spent on the games. For that Tyrell bought 6 video games this summer and each game cost 27 dollars.
So to calculate the amount spent, the number of games purchased must be multiplied by the price of each one:
6 video games* 27 dollars each game= 162 dollars
So Tyrell spends 162 dollars.
Money left over after buying the video games.On the other hand, you know that Tyrell had 379 dollars left after he bought the video games.
This indicates that after spending $ 162 on video games, there were $ 379 left over.
Money he started with.To know the amount of money that Tyrell had, you must add the amount spent on games and the money that was left over:
162 dollars + 379 dollars= 541 dollars
So, Tyrell started with $541.
Learn more with this similar examples:
https://brainly.com/question/11757690?referrer=searchResultshttps://brainly.com/question/10823368?referrer=searchResultsTyrell started with 541 $
There are two actions in the question.
First Tyrell bought 6 video games, each game cost 27 $.
Spent
According to that Tyrell spent
6 * 27 = 162 $
Keeps
The second fact is that after shopping Tyrell keeps 379 $.
If Tyrell spent 162 $ and still keeps 379 $, that means that the total amount of money Tyrell had is the sum of the money he spent plus the money he has
Now if we call "x" the quantity of money Tyrrel started with: Then
x = the money Tyrell spent on video games plus the remaining 379 $
Then
x = 162 + 379
x = 541 $
HELP! (25 points) i think i might know the answer
Answer:
[tex]\sqrt{7}[/tex]
Step-by-step explanation:
(06.04 MC) Dennis drew the line of best fit on the scatter plot shown below: What is the approximate equation of this line of best fit in slope-intercept form?
Answer:
Step-by-step explanation:
In order to write the equation of this line, we need to pick 2 points on the graph where the line goes right through the intersection of the grids. Actually, you only need 1 of these, because the line goes through at (0, 15). Another point then can be (6, 6). Locate this point so you know what I means when I say that the line goes right through where the grids intersect at x = 6 and y = 6 (as opposed to somewhere in the middle of one of these grids). Find the slope between these 2 points:
[tex]m=\frac{6-15}{6-0}=-\frac{9}{6}=-\frac{3}{2}[/tex]
Since there's only one choice with that slope, that is the choice you want.
Someone plz help me and show the work 10 points!
Answer:
78°
Step-by-step explanation:
you have to add it up and then divide after multiply
Evaluate w+(-x) - 2/3 where w = -5/9 and x = 4/3
Answer:
-23/9 or -2 5/9
Step-by-step explanation:
w+(-x) - 2/3
Let w = -5/9 and x = 4/3
-5/9+(- 4/3) - 2/3
Get a common denominator of 9
-5/9 - 4/3 *3/3 - 2/3 *3/3
-5/9 - 12/9 - 6/9
-23/9
-2 5/9
Answer:
-2 5/9
Step-by-step explanation:
mr. Patel travelled from Delhi to Mumbai by road in his car. a). If he travelled in his car 770 km over 22 days, then how many kilometres did he travel in one day?b). A litre of petrol takes Mr Patel’s car a distance of 14 km. How many litres would he need to go 840 km?C). Mr Patel is carrying 326 boxes of sweets in the boot of his car. If each box contains 25 sweets, how many sweets are there in his car?
Answer:
a. 35 Kilometres.
b. 60 litres.
c. 8150 sweets.
Step-by-step explanation:
Given the following data;
Distance traveled = 770 kmNumber of days = 22 daysa. To find how many kilometres he traveled in one day;
770 km = 22 days
X km = 1 day
Cross-multiplying, we have;
22X = 770
X = 770/22
X = 35 Kilometres.
b. To find how many litres he would need to go 840 km;
1 litre = 14 kilometres
X litres = 840
Cross-multiplying, we have;
14X = 840
X = 840/14
X = 60 litres.
c. To find how many sweets are there in his car;
Number of sweet box, Ns = 326 boxes
Number of sweets in each box, Sw = 25 sweets
Total number of sweets = Ns * Sw
Total number of sweets = 326 * 25
Total number of sweets = 8150 sweets.
pleaseee help mee helpp meeee
Answer:
i can help you i know this answer
What are the solutions to the quadratic equation below?
Help me pls‼️‼️‼️❤️❤️
Answer:
= 50%
Step-by-step explanation:
There is one point, random number = 1
There are two circles, sample space = 2
[tex]{ \tt{probability = \frac{1}{2} }} \\ { \tt{percentage = \frac{1}{2} \times 100\% }} \\ = 50\%[/tex]
Answer:
25%
Step-by-step explanation:
1. Find the area of both Circles: [tex]A = \pi r^{2}[/tex] [tex]A = \pi 2^{2}[/tex] = [tex]4\pi[/tex] [tex]A = \pi 1^{2} = \pi[/tex]
2. [tex]\frac{\pi }{4\pi }[/tex] to find the percentage
3. 0.25 = 25%
The total enclosed area is ____ square units. Round to the nearest tenths place (1 decimal place).
Answer: 47.6
Is this right?
Answer:
siis corretoed
Step-by-step explanation:
If ABC ~ AMN and am=6, mb=4 an= 8 then what is the value of nc
Which of these is an example of an output?
A
swiping on phone screen
B
the notification sound of a text message
C
typing on a keyboard
D
talking into a microphone
Answer:
d talking into microphone
What is the graph of the solution set of the inequality?
Answer:
The Tasty Beans Coffee House being planned for the corner of SE 12th and Main will ruin a perfectly nice neighborhood. Besides the fact that Tasty Beans already has coffee shops all over the city, it will pull business away from local coffee houses that have been here for decades. In addition, there is already a parking problem on that street, and the new business will just add to the congestion. They're planning a drive-up window, too, and that will mean a steady stream of traffic in a very high-volume area. Ask anyone walking down the street, and they'll tell you this is a bad idea. I speak for my whole neighborhood when I say, "Go away, Tasty Beans!"
Step-by-step explanation:
which quadratic function has zeros of -4 and 7
Thank You! Hope it helps! Please mark me brainliest!
18 Ib. Then her dog loses another 1 lb. Finally, it
Cece dog
gains lb. What is the total change in her dog's weight? how your work. Pleasss help
Answer:
17 lb I guess 8 don't think the question is full
Step-by-step explanation:
the question is half
Which best explains why all equilateral triangles are similar?
O All equilateral triangles can be mapped onto each other using dilations.
O All equilateral triangles can be mapped onto each other using rigid transformations.
O All equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations.
O All equilateral triangles are congruent and therefore similar, with side lengths in a 1:1 ratio.
Answer:
the correct answer is option 1.
The correct explanation is: All equilateral triangles are congruent and therefore similar, with side lengths in a 1:1 ratio.
What are similar triangles?Those triangles look the same but are different in size.
And in similar triangles,
the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.
In an equilateral triangle, all three sides are congruent, and all three angles are congruent.
Therefore, any equilateral triangle can be transformed into any other equilateral triangle through a combination of translations, rotations, and reflections, without changing the size or shape of the triangle.
Thus, all equilateral triangles are similar, with side lengths in a 1:1 ratio, since they have the same shape but may differ in size.
To learn more about similar triangles;
https://brainly.com/question/14926756
#SPJ7
find the missing length indicated
Answer:
119?
Step-by-step explanation:
Make six prime numbers using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 once each.
~can you plz explain?!
Answer:
2, 3, 5, 7, 11, 13.
Step-by-step explanation:
A prime number is a number that you don't get a whole number when divided by 2 but you do get a whole number when divided by prime numbers such as 3,5,7,11... Basically a number with two factors, it can only be divided by 1 or themselves. for example:
9/2 = 4.5 (this is not a whole number so it might be a prime.
9/3 = 3 (it works when divided by a prime number.
another:
8/2 = 4 (it gives a whole number when divided by 2 therefor, it can't be a prime number.
Answering:
There are 6 prime numbers at the top^^^^.
One possible answer is 2, 3, 5, 41, 67, 89
Another possible answer is 2, 3, 5, 47, 61, 89
Other answers may be possible.
=============================================================
Explanation:
This is a trial and error type of problem. Though with practice it's not as blind of randomly guessing.
We have 9 values here. If we paired them up, then we can form at most 4 pairs (since 9/2 = 4.5 rounds down to 4). That means we won't be able to form six two-digit primes. Some of the primes must be single digits.
We can have 3 single digit primes and 3 two-digit primes since 3+2*3 = 9.
The single digit primes are: 2, 3, 5, 7
Let's say 2 and 5 are definitely locked down to be the single digit group. I'm doing this since we can't have 2 or 5 as the units digit. If the units digit is 2, then 2 is a factor and it's not prime. Similarly, if 5 is the units digit, then 5 is a factor and that two digit value is not prime.
For good measure, we'll throw 3 in there as well and see what happens.
------------------
The digits we have left are: 1, 4, 6, 7, 8, 9
The number 14 isn't prime, but 41 is prime
67 is prime so that's another two values off the list
lastly, 89 is prime so that works as well.
So one possible sequence is 2, 3, 5, 41, 67, 89
Notice how we can swap the 1 and 7 to go from 41,67 to 47,61; this gets us two other primes. So another possible answer is 2, 3, 5, 47, 61, 89
------------------
Side note: having the list of primes on a reference sheet is a handy recommendation. You only need to go up as high as 97 which is the largest two digit prime.
Find the length of the hypotenuse of a right angle triangle if remaining side are 3 cm and 4 cm.
Answer:
5 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
let h be the hypotenuse , then
h² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )
h = [tex]\sqrt{25}[/tex] = 5
PLS HELP!
When rolling a single number cube, what are the odds, in simplest form, in favor of rolling a 4 or a 5? A. 1:1 B. 1:2 C. 1:3 D. 1:5
Answer: 1:3
Step-by-step explanation:
The odds are 2/6 because you’re given 2 choices from the 6 side die you can then simplify that fraction to 1:3
Which system is equivalent to y=-2x^2 y=x-2
a) y=-2y^2 x=y-2
b) y=-2y^2+2 x=y+2
c) y=-2y^2-8y-8 x=y+2
d) y=-2y^2+8y-8 x=y-2
Answer:
answer C
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y&=&-2x^2\\y&=&x-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&y-2\\y&=&-2(y-2)^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&y-2\\y&=&-2y^2-8y-8\\\end{array}\right.\\\\[/tex]
Would kindly appreciate the help please !
Answer:
cannot be determined
Step-by-step explanation:
We do not know if any of the angles are equal and are only given two sides.
We cannot determine if the two triangles are similar
Plz help!! I need it ASAP
Answer:
you save $500 for 7 years at 6% compounding continuously
what is the final value...
A = $500 [tex]e^{.06(7)}[/tex]
Step-by-step explanation:
Which expression is equivalent to
36÷3+3
a 3x2^+3
b 2^2÷3x3
c 3x2^2÷3
d 2^2+3x3
Translate this sentence into an equation.
The sum of 22 and Greg's savings is 65.
Use the variable g to represent Greg's savings.
Answer:
22+g=65
Step-by-step explanation:
take the 22 add (sum) to g (the variable) and have them = 65
Write the y-intercept of the line
Answer: -2. Bc if you look on the graph of the y axis you'll see its located at -2.
Hope this helps :)
Step-by-step explanation:
Given JIH~ LMN. what is the value of LN?
Answer:
7 units
Step-by-step explanation:
In similar triangles, corresponding sides are same ratio.
[tex]\frac{LN}{JH}=\frac{LM}{JI}\\\\\frac{LN}{14}=\frac{5}{10}\\\\LN=\frac{5}{10}*14\\\\LN=7[/tex]
Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. His total annual cost is a function of the number of books that he purchases in a year. Let b represent the number of books he purchases in a year. Which function, C(b), represents his yearly cost