Answer:
[tex]y=\frac{3}{2}x-8[/tex]
Step-by-step explanation:
We can use the definition of slope-intercept form to answer this:
[tex]y=mx+b[/tex]
Where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
So all we do is stick in the numbers and we get:
[tex]y=\frac{3}{2}x - 8[/tex]
only question 6 and 7 please answer fast I need it now ty
Answer:
6. $62.74 7.$331
Step-by-step explanation:
6. The original cost= $119.5
After 30% of discount = (70/100)× 119.5
= $83.65
After 25% discount = (75/100)× 83.65
= $62.74
7. Original cost= 679
Price after 35% discount = (65/100)×679=$441.35
Price after 25% discount = (75/100)× 441.35
=$331
So the final price will be = $331
11, 20, 29, ...
Find the 43rd term.
Answer:
389
Step-by-step explanation:
20 - 11 = 9
29 - 20 = 9
This is a geometric sequence with a common difference of 9.
a_1 = 11
a_2 = 11 + 9
a_3 = 11 + 2 × 9
...
a_n = 11 + (n - 1) × 9
a_43 = 11 + (43 - 1) × 9
a_43 = 11 + 42 × 9
a_43 = 389
Hence, the [tex]43[/tex]rd term is [tex]389[/tex].
What is the sequence?
A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.
Here given sequence is [tex]11, 20, 29, ...[/tex]
Here,
[tex]a=11\\\\d=a_2-a_1\\d=20-11\\d=9[/tex]
The general formula is
[tex]a_n=a+(n-1)d[/tex]
where,
[tex]a_n[/tex] is the [tex]n[/tex]th term
[tex]a[/tex] is the first term
[tex]n[/tex] is the number of terms
[tex]d[/tex] is the common difference
Substituting the values in the general formula
[tex]a_n=a+(n-1)d\\\\a_{43}=11+(43-1)9\\\\a_{43}=11+(42)9\\\\a_{43}=11+378\\\\a_{43}=389[/tex]
Hence, the [tex]43[/tex]rd term is [tex]389[/tex].
To know more about the sequence
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the diameter of a circle is 16, and its center is located at (-2,-6) what is the equation of the circle?
(x+2)² + (y+6)² = 64
Given:
centre : (-2,-6)diameter : 16radius : 8=============
Formula's:
(x-h)² + (y-k)² = r²centre : (h, k)radius : r===========
equation:
( x - (-2))² + (y-(-6))² = 8²(x+2)² + (y+6)² = 64What is the value of this expression?
6n + 5y + 4z
n=4
y=3
z=2
Show the work
Answer:
47
Step-by-step explanation:
6n + 5y + 4z
substitute the variables
6(4) + 5(3) + 4(2)
6 x 4 = 24
5 x 3 = 15
4 x 2 = 8
24 + 15 + 8
= 47
WILL GIVE BRAINLIEST
Select the decimal that is equivalent to \dfrac{111}{250}
250
111
start fraction, 111, divided by, 250, end fraction.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
0. 3760. 3760, point, 376
(Choice B)
B
0. 3\overline{76}0. 3
76
0, point, 3, start overline, 76, end overline
(Choice C)
C
0. 4440. 4440, point, 444
(Choice D)
D
0. \overline{444}0.
444y
0, point, start overline, 444, end overline
(Choice E)
E
None of the above
Answer:
0.444
Step-by-step explanation:
im a bit confused with the anwser choices, so just pick which ever one contains states 0.444 as it's answer choice.
hope this helps :)
Answer:
0.444
Step-by-step explanation:
1.) A rational number in the form of a fraction can be represented as a decimal by dividing the numerator by the denominator.
2.) Now let's divide 111.000000... by 250. Find enough decimal digits in the numerator so we can see whether the decimal terminates or starts to repeat. [tex]111/250 = .444[/tex]. Since the remainder is 000, this is a terminating decimal.
3.) The terminating decimal is [tex]\frac{111}{250} = 0.444.[/tex]
Serenity needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4.5 hours and charged her $62 for parts. The total was $309.50. What was the cost of labor, per hour?
Answer:
the cost of labor per hour is $55
Step-by-step explanation:
Let C = cost of labor per hour
Let h = hours worked
Let p = cost of parts
Let t = total price
[tex]c = \frac{t - p }{h} \\\\c = \frac{309.50 - 62}{4.5} \\\\c = \frac{247.50}{4.5} \\\\c = 55[/tex]
The list shows the number of songs on each album Dakota has downloaded. 15, 9, 8, 34, 18, 10, 14, 12, 8, 20, 22, 16, 32, 28, 4, 45, 15, 10, 7. Create a stem-and-leaf plot to represent the data.
I hope this helps! :)
If each customer takes 3 minutes to check out, what is the probability that it will take more than 9 minutes for all the customers currently in line to check out?
Using a discrete probability distribution, it is found that there is a 0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.
What is the discrete probability distribution?Researching the problem on the internet, it is found that the distribution for the number of customers in line at the store is given by:
P(X = 0) = 0.2;P(X = 1) = 0.15;P(X = 2) = 0.30;P(X = 3) = 0.20;P(X = 4) = 0.10;P(X = 5) = 0.05;Hence, since each customer takes 3 minutes to check out, the probability that it will take more than 9 minutes for all the customers currently in line to check out is the probability that there are more than 3 customers, hence:
P(X > 3) = P(X = 4) + P(X = 5) = 0.10 + 0.05 = 0.15.
0.15 = 15% probability that it will take more than 9 minutes for all the customers currently in line to check out.
More can be learned about a discrete probability distribution at https://brainly.com/question/24855677
Given a+b=7; a-b=3, find the following, 3^a divided by 3^b
Answer:
27
Step-by-step explanation:
a+b=7; a-b=3
Add the two equations together
a+b=7
a-b=3
----------------
2a + 0b = 10
2a = 10
Divide by 2
2a/2 = 10/2
a = 5
a+b = 7
5+b = 7
b = 7-5
b = 2
3^a / 3^b = 3^(a-b) = 3^(5-2) = 3^3 = 27
Find the surface area. HELP PLEASE!!!!
Answer:
I think the answer is 792
Answer:
SA = 696cm^2
Step-by-step explanation:
First we need to identify the shapes
There are 3 rectangles and 2 triangles
Now the individual surface area for each shape
20 x 10 = 200 (1 rectangle)
1/2(12 x 8) = 48 (1 triangle)
Now we add them together
(200 x 3) + (48 x 2) = 696
Please help asap
Savannah is trying to justify to her geometry class that the 2 lines she drew, line a and line b, are
parallel. Select all of the reasons that prove Savannah's lines parallel.
Answer:
2,3,4,5
Step-by-step explanation:
The ones you selected are all correct.
Hope this helps.
Parallel lines were coplanar endless straight lines in geometry that never intersect. Therefore, all the options are correct.
What are parallel lines?Parallel lines were coplanar endless straight lines in geometry that never intersect. Within a single three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.
Euclid's parallel postulate deals with parallel lines. Euclidean geometry is just a particular example of this sort of geometry, and parallelism is essentially a feature of affine geometries. Lines can have similar characteristics known as parallelism in various other geometries, including such hyperbolic geometry.
∠2≅∠8 ( alternate interior angle)
∠1≅∠8 (vertical angle)
∠1≅∠5 (corresponding angle)
∠2≅∠5 (consecutive interior angle)
∠4≅∠6 (exterior angle)
Therefore, all the options are correct.
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In a class, 60% of the students are boys and the rest are girls. If the number of boys is 30, how many students are there?
50 total students
20 girlsExplanation:
total students: 100%
----------------
60% → 301% → 30/601% → 0.5100% → (0.5 * 100)100% → 50number of girls:
total students - number of boys 50 - 3020I need help with this fast
2m · 2n would be the same as _____.
A) 4 mn
B) 2 m + n
C) 2 mn
D) 2 m - n
Answer:
A) 4mn
Step-by-step explanation:
2m × 2n = 4mn
I hope this helps!
The speed of light is 299,792.458 .
Which of the following would be a reasonable estimate for the speed of light?
A.
B.
C.
D.
Answer:
a
when you round the number up it becomes 300,000.00
If f(x) = 2x - 5, then f(4) is
017
03
04
05
Answer:
3
Step-by-step explanation:
f(x) = 2x-5 put in 4 for x
f(4) = 2(4) - 5 = 3
help please!! math …
Answer:
the fourth graph, bottom left, is the correct one
Step-by-step explanation:
the line, also known as a line of best fit is best graphed to make sure that it covers all of the points, not including outliers. You want to make sure that the line of best fit has an fairly similar amount of points on either side, but there may be one or two outliers that are way far apart; you shouldn't need to worry about them.
50 = 3x+14 solve for x
Please help, super confused :(
Answer:
Below.
Step-by-step explanation:
The graph shown is f(x).
3. The graph 3 is the same shaped graph as drawn but moved 3 units to the left.
4. The graph 4 is the same shaped graph as drawn but moved 5 units to the right.
Hope this helps.
A cylinder has a radius of 17 yards it’s volume is 15,426. 82 yd.³ what is the height of the cylinder
HELP PLEASE!!!
The atmospheric layer responsible for weather is the
o stratosphere
o troposphere
o mesosphere
o thermosphere
The atmospheric layer responsible for weather is the troposphere.
You have 2 choices of bread: wheat or white; 3 choices of meat: ham, chicken, or beef; and 3 choices of condiments: mustard, mayo, and ketchup. If you choose each item at random, what is the probability that you will make a sandwhich with wheat bread, ham, and mustard?
Answer:
1/18
Step-by-step explanation:
Use the counting principle to find the total number of different sandwiches you can make.
2 breads
3 meats
3 condiments
Total number of different sandwiches = 2 × 3 × 3 = 18
There are 18 possible sandwiches.
You are intereseted in 1 specific sandwich out of the 18.
p(wheat bread, ham, mustard) = 1/18
1/18 is the probability that you will make a sandwich with wheat bread, ham, and mustard.
What is a number?A number is an arithmetic value used to represent quantity.
We can use the counting principle to find the total number of ways to make different sandwiches.
2 breads, 3 meats, and 3 condiments.
Total number of sandwich varieties = 2* 3* 3 = 18
There are 18 possible sandwiches.
You're only interested in one of the 18 sandwich varieties.
i.e. p(wheat bread, ham, mustard) = 1/18
Hence, the probability that you will make a sandwich with wheat bread, ham, and mustard is 1/18.
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Write an equation using x when the sum of a number and 8 is multiplied by 3and the answer is 6
Answer:
3(x + 8) = 6
Step-by-step explanation:
let the number be x then the sum of x and 8 is x + 8 and multiplied by 3 is
3(x + 8) = 6 ( divide both sides by 3 )
x + 8 = 2 ( subtract 8 from both sides )
x = - 6
the number x is - 6
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
13.4 :)
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Now lets solve!!
12^2 + b^2 = 18^2
144 + b^2 = 324
Now we subtract!!
324 - 144 = b^2
180 = b^2
Now we need to find the square root!!
[tex]\sqrt{180}[/tex] = 13.4
Have an amazing day!!
Please rate and mark brainliest!!
IF YOU HELP ME NOW ILL GIVE BRAINLIST!
Answer:
A. <
B. =
C. >
D. <
Step-by-step explanation:
Answer:
a. 3.07 < 3.7
b. 12.3 = 12.30
c.0.7 > 0.65
d. 1.82 < 1.89
Step-by-step explanation:
a. By looking at the tenths place, you can see that 3.07 is less than 3.7.
b. By looking at the hundredths place, you can see that 12.3 is equal to 12.30.
c. By looking at the tenths place, you can see that 0.7 is greater than 0.65.
d. By looking at the hundredths place, you can see that 1.82 is less than 1.89.
if a certain number is added to the denominator of the fraction 3/5 and 7 is added to the numerator, the result is a fraction that will reduce to 1/2. what number is added to the denominator? let x = the number added to the denominator
Answer:
X=15
Step-by-step explanation:
First add 7 to the 3(numerator)=10. Since anything equivalent to half is half of the denominator, the denominator needs to be 20. 20-5=15. So, X=15
Answer:
Step-by-step explanation: X=15
The Roberts Family is getting an inground circular pool with a radius of nine feet. The company needs to dig out an extra three feet all the way around the pool to have room for plumbing. What is the area of the grass that will be removed?
I need help with this quick
Answer:
63π or 197.92 ft²Step-by-step explanation:
The required area is between 9+3 = 12 feet and 9 feet radius circles.
Find the area:
A = π*12² - π*9² = 144π - 81π = 63π = 197.92 ft²Question 1 (3 points)
The recursive rule for a sequence is shown.
an = An-1 +4
a1
= 14
Write the explicit rule in simplified form for the sequence.
an
=
Considering the recursive rule, the explicit rule for the arithmetic sequence is given by:
[tex]a_n = 14 + 4(n - 1)[/tex]
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term.
From the recursive sequence, we have that the first term is [tex]a_1 = 14[/tex], while each term is the previous added to four, hence the common difference is d = 4. Thus, the explicit formula is given by:
[tex]a_n = 14 + 4(n - 1)[/tex]
More can be learned about arithmetic sequences at https://brainly.com/question/6561461
Find the surface area of the pyramid shown to the nearest whole number.
6ft 5ft 5ft
Answer:75,
Step-by-step explanation:
1/2 bh= A for one T 5*5=25 25*6= 150
150/2=75
OR
5*5/2=12.5
12.5*6=75
In a class of 24 pupils, if 10 are females. Calculate the ratio of males : total
Answer:
14 : 24
Step-by-step explanation:
If 10 of the 24 pupils are female, then that means the other 14 is male. Therefore, the ratio of males : total would be 14 : 24.
I hope this helps! Have a lovely day!! :)
(brainliest is much appreciated!!)
Answer:
14:24
Step-by-step explanation:
24 pupils = total
24 total - 10 females = 14 males
The ratio is
males : total
14 males : 24 people total
the simplified ratio is
7 males : 12 people