Answer:
8x + 2
Step-by-step explanation:
Like terms:
6x and 2x
-3 and 5
6x + 2x = 8x
5 - 3 = 2
8x + 2
Answer:
x = 1
Step-by-step explanation:
6x - 3 + 2x + 5 = 0 <=> (6x+2x) - (3+5) = 0 <=> 8x - 8 =0 <=> 8x = 8 <=> x = 1
A group of 493 people is going on a boat tour. If each boat holds 7 people, how many people will be on the last boat?
Answer:
3 people.
Step-by-step explanation:
493÷7=70 with 3 remaining.
(2x2 3+2)x(4x2 3-1/2)
Answer:
85.5
Step-by-step explanation:
Answer:
(2*2 3+2) * (4*2 3-1/2)
(4*5) * (8*3-0.5) = (8*2.5)
20*200
4000
Find the value of the expression:
x(x-y)-y(y^2-x) for x=4 and y=2
Replacing x by 4 and y by 2, it is found that the value of the expression is of 8.
The expression given is:
[tex]x(x - y) - y(y^2 - x)[/tex]
We want to evaluate it for x=4 and y=2, hence, we replace x by 4 and y by 2, then:
[tex]4(4 - 2) - 2(2^2 - 4) = 4(2) - 2(0) = 8[/tex]
The value of the expression is of 8.
A similar problem, in which the objective is finding the value of an expression, is given at https://brainly.com/question/19548262
Here's the question.
Answer:
The value of T₂₀ - T₁₅ is -20.
Step-by-step explanation:
Given :
>> If for an A.P, d = -4To Find :
>> T₂₀ - T₁₅Using Formula :
General term of an A.P.
[tex]\star{\small{\underline{\boxed{\sf{\red{ T_n = a + (n - 1)d}}}}}}[/tex]
>> Tₙ = nᵗʰ term>> a = first term>> n = no. of terms>> d = common differenceSolution :
Firstly finding the A.P of T₂₀ by substituting the values in the formula :
[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + (20 - 1) d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + (19)d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + 19 \times d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + 19d}}}[/tex]
[tex]{\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a + 19d}}}}}}[/tex]
Hence, the value of T₂₀ is a + 19d.
[tex] \rule{190}1[/tex]
Secondly, finding the A.P of T₁₅ by substituting the values in the formula :
[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + (15 - 1) d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + (14) d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + 14 \times d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + 14d}}}[/tex]
[tex]{\star{\underline{\boxed{\sf \pink{ T_{15}= a + 14d}}}}}[/tex]
Hence, the value of T₁₅ is a + 14d
[tex] \rule{190}1[/tex]
Now, finding the difference between T₂₀ - T₁₅ :
[tex]{\dashrightarrow{\pmb{\sf{T_{20} - T_{15}}}}}[/tex]
[tex]{\dashrightarrow{\sf{(a + 19d) - (a + 14d)}}}[/tex]
[tex]{\dashrightarrow{\sf{a + 19d - a - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{a - a + 19d - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{0+ 19d - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{19d - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{5 \times - 4}}}[/tex]
[tex]{\dashrightarrow{\sf{ - 20}}}[/tex]
[tex]{\star \: \underline{\boxed{\sf{\pink{T_{20} - T_{15} = - 20}}}}}[/tex]
Hence, the value of T₂₀ - T₁₅ is -20.
[tex]\underline{\rule{220pt}{3.5pt}}[/tex]
solve -(-7x+9)+(3x-1)=0
Answer: x = 1
Step-by-step explanation:
A number w is greater than-3
Answer:
w>-3
Step-by-step explanation:
What’s 10^102????????€
Answer:
(2^102•5^102)
Step-by-step explanation:
(10)^102 = (2•5)^102 = 2^102 • 5^102
The number of purchases made on a new online store is modeled by
p(d) 15d + 45, where d is the number of days since the store opened.
The average amount spent in dollars per purchase is modeled by
s(d) = 0.15d? – 4d + 80. Write a function R(d) to model the total daily
revenue. Then predict the total amount of revenue on the 23rd day.
-
The total amount of revenue on the 23rd day is 322.65
Given the following parameters:
purchases made p(d) = 15d + 45sales made s(d) = 0.15d² – 4d + 80The revenue will be exprssed as:
r(d) = s(d) - p(d)
r(d) = 0.15d² – 4d + 80 - (15d + 45)
r(d) = 0.15d² – 19d + 35
Hence a function R(d) to model the total daily revenue is r(d) = 0.15d² – 19d + 35
To get the total amount of revenue on the 23rd day, you will substitute t = 23 into the function
r(d) = 0.15d² – 19d + 35
r(23) = 0.15(23)² – 19(23) + 35
r(23) = 79.35 - 437 + 35
r(23) = -322.65
Hence the total amount of revenue on the 23rd day is 322.65
Learn more on function here: https://brainly.com/question/14307385
Ten movie tickets cost $80. How much does a single movie ticket cost?
Answer:
$10
Step-by-step explanation:
Identify the equation of the line graphed below. Prove by converting!
A. 2x + y = 4
B. 2x - y = 4
C. x + 2y = 8
D. x - 2y = 8
v = 128 – 32t
v is the velocity in ft/sec. It is NOT the height of
the ball.
t is the number of seconds after the ball is
thrown.
With what initial velocity is the ball thrown?
128 seconds
s
What is the y-intercept of the equation?
IS
[ Select]
What does the y-intercept mean?
t
[ Select ]
What is the x-intercept of the equation?
[ Select]
What does the x-intercept mean?
Select]
7
10
-
-
с
80°F
Answer: The Y intercept is 128 as well, which is the original velocity. Technically it should be v - intercept but whatever. The y / v intercept is the original velocity. The X intercept should be the t intercept but again whatever. The x/t intercept is 4, meaning that the velocity is zero when t is 4
Step-by-step explanation: y/v intercept is when t = 0. v = 128 - 32(0) = 128
It is the initial velocity at t = 0. The X/t intercept is when v = 0. 0 = 128 - 32t, so 32t = 128, so t = 4. The x intercept means when the velocity is zero, which means that the ball is at its highest/farthest point.
Ben reads 6 pages of a book in 8 minutes, 9 pages in 12 minutes, and 30 pages in 40 minutes. If m represents the number of minutes and p represents the number of pages, which equation represents the number of pages Ben reads per minute?.
The equation which represents the number of pages Ben reads per minute is p = 0.75m
Given:
6 pages of a book in 8 minutes
9 pages in 12 minutes
30 pages in 40 minutes
Number of minutes = m
Number of pages = p
Pages per minute = 6 pages ÷ 8 minutes
= 6/8
= 0.75 pages per minute
The equation:
p = 0.75m
Therefore, the equation which represents the number of pages Ben reads per minute p = 0.75m
Learn more about ratio:
https://brainly.com/question/16981404
Answer the ones you want to. Answer at least one.
Have no idea how to do this. Please help I beg you.
Answer:
For 8 b, draw 36 squares and for 8 c, it would be 144:)
Find the median number for 10,5,7,9,18,15,17,14,16,17,15,19,5
Answer:
15
Step-by-step explanation:
The median is the "middle" number between a range of numbers. In this question, 15 is the median because is the number that is between the minimum number (5) and the maximum number (19) Hope this helps :)
will give brainliest plz help
hope you get it
{2x−y=4
y−x=4
Step-by-step explanation:
System of Linear Equations entered :
[1] 2x-y=4 [2] y-x=4
Equations Simplified or Rearranged :
[1] 2x - y = 4 [2] -x + y = 4
Graphic Representation of the Equations :
y + 2x = 4 y - x = 4
Solve by Substitution :
// Solve equation [2] for the variable y
[2] y = x + 4
// Plug this in for variable y in equation [1]
[1] 2x - (x +4) = 4 [1] x = 8
// Solve equation [1] for the variable x
[1] x = 8
// By now we know this much :
x = 8 y = x+4
// Use the x value to solve for y
y = (8)+4 = 12
Solution :
{x,y} = {8,12}
If EF = 2x + 5 and FG = x + 9, what is EF?
Answer:
2- × 5
Step-by-step explanation:
Translate point C(-1,-2) using (y,x) -> (x+3,y-5) and then reflect over the x-axis
Step-by-step explanation:
Plot the point.
-1+3=2 and -2-5=-7
this is your new plot, (2,-7)
move the dot an equal distance across the x-axis, which is up and down.
The ratio of taxis to buses to bikes
is 12:5:18.
How many buses are there if there
are 72 bikes?
Answer:
20 buses
Step-by-step explanation:
Using the given ratio, we can see that for every 12 taxis, there are 5 buses and 18 bikes.
To get from 18 bikes to 72 bikes, we multiply by 4. Therefore, to figure out the number of buses, we multiply it by 4.
5 * 4 = 20
Hope this helps! :D
Parallel lines : mastery test
Answer:
I can't see much so take one more than I can help
is y=3x^2+2 a linear function
Answer: No!
Step-by-step explanation: This is a parabola. The graph for this function is not straight. We can also tell this is not a linear function because the degree of the function is 2.
Hope this helps :)
No.
y = 3x² + 2 has a degree of 2. So, it'll not make a graph which is a straight line. It's NOT a linear function. Linear functions have a degree of 1 or 0.
This is a quadratic polynomial (degree = 2) & when drawn on a graph, it'll make a parabola.
_____
Hope it helps ⚜
solve pls brainliest
Answer:
a) 45 minutes
b) 2 miles
c) 8 miles per hour
d) 7.5 minutes per mile
Step-by-step explanation:
a) (150/20) x 6 = 45 minutes
b) (20/150)(15) = 2 miles
c) (20/150)(60) = 8 miles per hour
d) 150/20 = 7.5 minutes per mile
20 miles in 150 minutes = 20/150 miles per minute = 2/15 miles per minute
distance/speed = time
6 miles / (2/15) miles per minute = 45 -> 45 minutes
time*speed=distance
15 minutes * 2/15 miles per minute = 2 miles
Her speed, 2/15 is in miles per minute. To convert to miles per hour, you multiply by 60 (60 minutes in an hour). 2/15*60=8 miles per hour
minutes per mile = 150 minutes for 20 miles = 150/20=15/2 minutes per mile
15/2=7.5
7.5 minutes per mile
Find the difference between 1/6 and 1/2
Answer:
1/3 OR -1/3
Step-by-step explanation:
1/2 - 1/6 = ?
3/6 - 1/6 = 2/6
2/6 = 1/3
OR
1/6 -1/2 =?
1/6 - 3/6 = -2/6
-2/6 = -1/3
2. Write an equation of the parabola with vertex (3, 1) and focus
(3, 5)
Answer:
2. Write an equation of the parabola with vertex (3, 1) and focus
(3, 5o3
what is the answer to -g + 2 (3 + g ) = -4 (g+ 1 )
Answer:
0
Step-by-step explanation:
........
Answer:
g=-10
Step-by-step explanation:
-g+2(3+g) = -4
-g+6+2g=-4
g=-4-6
g=-10
Please help!!! No LINKS
Solve the system of equations below by graphing both equations with a paper and pencil!!! What is the solution?!??! Use the photo below to answer the question!!
Answer:
B is the answer
Step-by-step explanation:
What is the intersection of plane AEH and plane EGH?
Answer:
E
Step-by-step explanation:
Hope this helped
If January 20 falls on a Tuesday, then February 15 of that same year falls on which day of the week? (January has 31 days)
Answer: Sunday
Step-by-step explanation:
The 27th would be tuesday
The 3rd would be tuesday
The 10th would be tuesday
The 15th would be sunday
Find the value of the variables.
Answer:
x = 90 degrees
y = 50 degrees
Step-by-step explanation:
The angle where x lies is a right angle, and right angles = 90 degrees. A triangle adds up to 180 degrees, so you add 90 and 40 together and then subtract that from 180 degrees.
The table shows the amount of time a delivery truck has been driving and the distance traveled. The total distance traveled is a direct variation of the number of hours. Use the model below to find the slope.
The slope of the line represents that the a distance of 55 miles is covered each hour
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the distance in miles covered in x hours.
Using points (2, 110) and (7, 385) from the table:
[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{385-110}{7-2}\\\\m=55[/tex]
Therefore the slope of the line represents that the a distance of 55 miles is covered each hour
Find out more on linear equation at: https://brainly.com/question/14323743
