Answer:
The variable representation is x, x+2 and x+4 for this sequence.
Step-by-step explanation:
Given that:
The sum of 3 consecutive even numbers is 78.
Let,
The first even number is represented by x.
As the numbers are consecutive, thus,
First even number = x
Second even number = x+2
Third even number = x+4
Hence,
The variable representation is x, x+2 and x+4 for this sequence.
I need this ASAP! When Isabel began her book-selling business, she stored her inventory in her garage. Now that her business has grown, she wants to rent warehouse space. Lisa owns a large warehouse nearby and can rent space to Isabel. The area of the warehouse is 8,100 square feet. Lisa is willing to rent Isabel as little as 100 square feet of space or up to as much as the entire warehouse. Her only requirement is that all spaces must be square.
The total length of each row of bookshelves will be of length of the storage space.
A) Let x be the area of the space that Isabel rents and f(x) represent the total length of a row of bookshelves. How would you find the length of a row of bookshelves?
B) Write a function that expresses f(x).
C) Graph the function.
Area = 8,100 square feet
area of a square = a²
8,100 square feet = a²
√8,100 square feet = √a²
90 feet = a
total length each row of bookshelf is 4/5 of the length of the storage space.
90 feet * 4/5 = (90*4)/5 = 360/5 = 72 feet.
Area = (72 ft)²
Area = 5,184 square feet.
For the 2012-2013 National Hockey League and National Basketball Association seasons,
two hockey tickets and one basketball ticket purchased at their average rates cost $173.01.
One hockey ticket and two basketball tickets cost $162.99, when purchased at their
average rates. What were the average ticket prices for the two sports?
The average cost for an National Hockey League ticket was $____
The average cost for an National Basketball Association ticket was $____
9514 1404 393
Answer:
Hockey: $61.01Basketball: $50.99Step-by-step explanation:
Using h and b to represent the prices of hockey and basketball tickets, respectively, the two purchases are ...
2h +b = 173.01
h +2b = 162.99
Subtracting the second equation from twice the first gives ...
2(2h +b) -(h +2b) = 2(173.01) -(162.99)
3h = 183.03
h = 61.01
Substituting that into the first equation, we can solve for b:
b = 173.01 -2h = 173.01 -2(61.01)
b = 50.99
The average cost of an NHL ticket was $61.01.
The average cost of an NBA ticket was $50.99.
Tim is clearing brush from a large piece of land. Tim clears 1/4 of an acre in 2 days. How
many days does it take Tim to clear 1 acre?
helpp please
Answer:
8 days
Step-by-step explanation:
[tex] \frac{1}{4} \times 4 =1 [/tex]
[tex]2 \times 4 = 8[/tex]
It takes Time 8 days to clear 1 acre
Answer:
= 0.5 acre per day
Step-by-step explanation:
Have A Wonderful Day !!
help fast plz The temperatures recorded one day at two cities are shown below: City L: −8° F City M: −9° F Which statement about the temperatures at the two cities is true? (5 points)
a City M was warmer than City L because −9° F −8° F.
c City M was colder than City L because −9° F > −8° F.
d City M was colder than City L because −9° F < −8° F.
Answer:
I mean c and d but you wrote this weirdly
Pls help me high paying reward.
WILL GIVE BRAINLIEST!!!!!!!!!!
The probability of event A occurring is 0.65. The probability of events A and B occurring together is 0.33. Events A and B are independent. What is the probability of event B?
Enter a number to the nearest hundredth.
Answer:
Approximately 0.51
Step-by-step explanation:
If events A and B are independent, then P(A and B) = P(A)*P(B) is a true equation.
We're given the following
P(A) = 0.65
P(A and B) = 0.33
So,
P(A and B) = P(A)*P(B)
0.33 = 0.65*P(B)
P(B) = 0.33/0.65
P(B) = 0.5076923076923
which is approximate. When we round to 2 decimal places, we get 0.51
A train travels at an average speed of 67.5 at this speed how far could the train travel in 3.25 hours
Answer:
219.375
Step-by-step explanation:
Speed = distance / time
67.5 = distance / 3.25 hours
Multiply both sides by 3.25
67.5 x 3.25 = 219.375
Answer:
The Train Could travel 219.375 MPH
Step-by-step explanation:
Since the train travels at a speed of 67.5 miles per hour, multiply 67.5 by 3.25.
67.5 × .25 = 16.87567.5 × 3 = 202.516.875 + 202.5 = 219.375
Hope this helps!
help please, i’m failing school and i rly need help
Answer:
THe solution is where the 2 lines intersect!
Step-by-step explanation:
(-1,-3) (2,2)
can you guys plzz help me
Answer:
9
Step-by-step explanation: if you look at the triangle LV and UW are the same length apart.
This graph shows the solutions to the inequalities y > - 1/3x+5 and y< - 1/3 x -1
. Does the system of inequalities have solutions? If so, which region contains
the solutions?
Answer:
no solutions
Step-by-step explanation:
these lines, when graphed, are parallel (notice their slopes are the same)
parallel lines will never intersect or produce areas of intersection, resulting in no solutions
Since the values on both sides are different, hence the the system of inequalities have NO solutions
Solutions to inequality graphsInequalities are equation that does not include only the equal sign.
Given the following inequalities
y > - 1/3x+5 and y< - 1/3 x -1
In order to determine whether the equations have a solution, we need to equate both expressions and solve
Equate
-1/3x + 5 = -1/3x - 1
-1/3x + 1/3x = -1 - 5
0x = -6
Since the values on both sides are different, hence the the system of inequalities have NO solutions
Learn more on inequality here: https://brainly.com/question/12089993
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GIVING BRAINLIEST HURRY
Step-by-step explanation:
yesyes jehdbshhshshshshsgs
3x+y-4=1 what is the x and y intercept?
Answer:
The answer is (0,5)
Step-by-step explanation:
(0,5)
Answer:
X-intercept= (1.67,0)
Y-intercept = (0,5)
Step-by-step explanation:
Move y to the right so that it’s alone and then type it in the calculator under y= and press graph.
Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
5y + 17 + 16y = 17
217 + 17 = 17
21y = 0
y =
Divide both sides by 21
Can someone please help me with this ill give out brainliest please don’t answer if you don’t know thank you
Answer:
A, $151.36
Step-by-step explanation:
Step #1: Change 5.3% to a decimal.
To do that just move the decimal point 2 places to the left (same thing as dividing by 100). Also remember that every number has invisible zeros in front of it that don't change the number at all.
So basically to change 5.3% to a decimal just move the decimal point in front of 5 (that's one time), then in front of the invisible zero (that's 2 times) so you have .053
Step #2: Then multiply .053 times $143.74
The answer should be $7.61822 if you did it right.
Step #3: Add #143.74 and $7.61822 to find the total with the sales tax.
The answer should be $151.35822.
But we don't do that in money so round the total to the nearest cent. Look at the third decimal space to see if you're rounding up or down. If the decimal space is 0-4, then round down (so in this case if the 8 was a 2, you would keep the 5 like it is and the answer would be $151.35). But if the third decimal space is 5-9, then round up.
In this case since the third decimal space is a 8, we are rounding up and changing the 5 to a 6.
So your final answer should be $151.36.
Maths
I’ll give brainiest:))
Answer:
x=2
y=3
Step-by-step explanation:
A worker is stacking boxes. One stack has boxes that are 2 inches high. The other stack has boxes that are 5 inches high. At what height will the two stacks of boxes be equal in height?
Answer:
10
Step-by-step explanation:
With this question you must find the LCM for 2 and 5.
Multiples of 2= 2,4,6,8,10
Multiples of 5= 5,10
10 is the least common multiple making it the first number that the boxes can be at the same height with.
Answer:
7
Step-by-step explanation:
Lee jumped 6 times every 18 minutes. At that rate, how long, in
minutes will it take to jump 3 times
Answer:
It will take 9 minutes
Step-by-step explanation:
18:6=3
- 1 jump every 3 minutes
3 x 3 = 9
(but I'm not sure if it is correct because i did not really understood the question)
Can someone please answer quick this is due by 8:19.
Answer:
[tex]y = \frac{ - 1}{3} x - 8[/tex]
Step-by-step explanation:
slope intercept form is y=mx+b
m is the slope, so it's -1/3 because it goes down one unit and to the right two units. b is -8 because that is the point that it touches the y-axis
I NEED HELP ASAP!!! DUE AT 11:45
Answer:
False
Step-by-step explanation:
hope it helps
....
Which point on the number line is the best approximation for √59?
Answer:
6^2 = 36
Step-by-step explanation:
The number that best approximates the square of 6 is 36, its actual value. The point so labelled is the appropriate point on the number line.
7.7 is the point on the number line is the best approximation for √59
What is Number system?A number system is defined as a system of writing to express numbers.
A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
Approximation or approximate numbers can be defined as a value that is similar to the other value but not exactly equal to it.
We need to find the approximation of √59
We have given √59
We need to remove the radical
=7.681=7.7=8
We can place the dot on 7.7 of the number line.
Hence 7.7 is the point on the number line is the best approximation for √59
To learn more on Number system click:
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If the maximum value of y =-x²+ax+b is 8 when x = 3, find the values of a and b
Answer:
a = 6 and b = -1.
Step-by-step explanation:
To find the maximum value of y = -x²+ ax + b we differentiate it with respect to x to find the value of x at which it is maximum.
So dy/dx = d(-x²+ ax + b)/dx = -2x + a
we equate it to zero.
-2x + a = 0
-2x = -a
a = 2x
Now, given that x = 3 at the maximum value,
a = 2x = 2(3) = 6
Also, substituting y = 8 and x = 3 into y, we have
y = -x²+ ax + b
8 = -(3)²+ a(3) + b
8 = -9 + 3a + b
3a + b = 8 + 9
3a + b = 17
So, b = 17 - 3a
substituting a = 6, we have
b = 17 - 3(6)
b = 17 - 18
b = -1
So, a = 6 and b = -1.
Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven.
Evaluate the expression you wrote to find the amount Mr. Parker will pay if he drives 80 miles.
Answer:
$70
Step-by-step explanation:
$50+$(0.35*80)
$50+$20
=$70
Hope this helped! :)
WILL GIVE BRANLIEST
In each circle, chords AB and CD intersect at point X...
1.) AX = 8 and XB = 5; Find (CX)(XD).
2.) AX = 6, CX = 9, and XD = 2; Find XB.
3.) CX = 16, XD = 4, and AX = XB; Find AB.
Answer:
We have to see the circle in order to help you
Find x for me please
Given:
In a right angle triangle,
Hypotenuse = x
Other two sides are (x-2) and 8.
To find:
The value of x.
Solution:
According to the Pythagoras theorem,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
Putting the given values, we get
[tex]x^2=(x-2)^2+(8)^2[/tex]
[tex]x^2=x^2-4x+4+64[/tex]
[tex]x^2-x^2+4x=68[/tex]
[tex]4x=68[/tex]
Divide both sides by 4.
[tex]x=\dfrac{68}{4}[/tex]
[tex]x=17[/tex]
Therefore, the value of x is 17.
What is the equation of the top line graphed below?
Answer:
I think it has to y=mx+b
Step-by-step explanation:
which set of values could be the side lengths of a 30 60 90 triangle?
Answer:
b
Step-by-step explanation:
A withdrawal of AED 4,000 from your bank account.
The integer that represents the situation is
Answer:
The answer is -4000.
Step-by-step explanation:
The answer is -4000 because you took money from your bank account, withdraw.
write as an single power as 6?
(6^4)^5
Answer:
i think its 6 to the power of 20 but id k
Step-by-step explanation:
Elizabeth has a piece of ribbon that is 4.5 meters long.She wants to cut it up into pieces that are 0.25 meter long. How may pieces of ribbon will she have?
Answer:
18 pieces of ribbon
Step-by-step explanation:
total length of the ribbon is 4.5 meters
it will be divided into .25 meter long pieces
4.5 m / (.25 m / 1 piece) = 18 pieces
Elizabeth has a piece of ribbon that is 4.5 meters long.She wants to cut it up into pieces that are 0.25 meter long. How may pieces of ribbon will she have?
Solution:[tex]4.5 \div 0.25[/tex]
[tex] = 18[/tex]
Checking:[tex]18 \times 0.25[/tex]
[tex] = 4.5[/tex]
Final Answer:She will have 18 pieces of ribbon.
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Pls help and show workings
Answer:
may br
Step-by-step explanation:
4x+ 10=30 or 2(4x +10) =30
Answer:
see explanation
Step-by-step explanation:
Given that QS bisects ∠ PQT = 30°
∠ PQS = ∠ TQS = 15°, thus
4x + 10 = 15 ( subtract 10 from both sides )
4x = 5 ( divide both sides by 4 )
x = [tex]\frac{5}{4}[/tex] = 1.25