The time required for the first unit is "x" hours, the time required for the eighth unit is "x + 35" hours, and the total amount of time required for building the eight units is "8x + 140" hours.
To determine the approximate amount of time required for building the remaining bikes, we need to consider the time spent on the first and second bikes as well as the number of remaining bikes. Let's denote the time required for building the first bike as "x" hours and the time required for building the second bike as "5" hours.
(a) To find the approximate time required for building the first unit, we already know that "x" hours spent on it.
(b) For the eighth unit, we can observe that a pattern is emerging. The time required for each unit is increasing by 5 hours. Therefore, for the eighth unit, we can calculate the time as follows:
Time for the eighth unit = Time for the first unit + (7 * 5) hours = x + 35 hours.
(c) To find the total amount of time required for building the eight units, we need to sum up the time required for each unit. Since each subsequent unit takes 5 hours longer than the previous one, we can use the arithmetic series formula to calculate the sum:
Total time for eight units = (Number of units / 2) * (Time for the first unit + Time for the last unit)
= (8 / 2) * (x + (x + 35))
= 4 * (2x + 35)
= 8x + 140 hours.
In summary, the time required for the first unit is "x" hours, the time required for the eighth unit is "x + 35" hours, and the total amount of time required for building the eight units is "8x + 140" hours.
Learn more about Time Required here:
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The length of a rectangular playing field is 5 meters less than twice its width. If 230 meters of fencing goes around the field, find the dimensions of the field. Find the length of the field.
Answer:
205/3 meters or 68.33 meters
Step-by-step explanation:
Perimeter = 2W + 2L
L = 2W - 5
230 = 2W + 2(2W - 5)
230 = 2W + 4W - 10
230 = 6W - 10
220 = 6W
W = 110/3 or 36.67 m
Add the Width into the formula for L to find the length
L = 2(110/3) - 5
L = 205/3 m or 68.33 m
Let p =Fg where F(0, 5) and G(-4, -3). What is the direction angle of -3/2p?
27°
63°
117°
297°
Answer:
Not C
Step-by-step explanation:
Did on edge
Answer: it’s B) 63
Step-by-step explanation:
On edge 2021
6 years ago Rosa had $2,000 in the bank. She now has $4,500. The amount of money at the end of each year increases exponentially. How many more years (to the nearest year) will pass before Rosa has $20,000 in the bank? (Assume that she doesn't deposit or withdraw any money.)
a. 7 years
b. 11 years
c. 17years
d. 39 years
9514 1404 393
Answer:
b. 11 years
Step-by-step explanation:
Since we're interested in the time going forward, we can write the expnential function for Rosa's balance as ...
y = 4500(4500/2000)^(x/6)
where x is the number of years from now, and y is the balance at that time.
20,000 = 4,500(2.25^(x/6))
Dividing by 4500, we get ...
40/9 = 2.25^(x/6)
log(40/9) = (x/6)log(2.25) . . . . take logs
x = 6·log(40/9)/log(2.25) ≈ 11.037 . . . . divide by the coefficient of x
It will take 11 more years for Rosa to have $20,000 in the bank.
_____
Comment on the exponential function
You can generally write an exponential function for a question of this sort pretty easily. The form of it is ...
f(t) = (initial value)×(growth factor)^(t/(growth period))
Here, we're given a growth factor of 4500/2000 = 2.25 corresponding to a period of 6 years. This tells us t is in years, and the exponential term will be ...
2.25^(t/6)
The "initial value" we choose corresponds to t=0. Since we want 'years from now', the "initial value" will be the value in the account now, 4500.
Answer:
B 11 years
Step-by-step explanation:
Alex’s printer can print 8 photos in 12 minutes.
Khalil’s printer can print 24 photos in 1 hour.
Which process could you use to help determine how much longer it will take Khalil’s printer to print 120 photos than Alex’s?
**Select all that apply.**
A. Write an equation that adds the number of photos that each printer prints in 1 hour.
B. Make a table of equal ratios to find how long it takes each printer to print 120 photos and find the difference.
C. Subtract the number of photos that Khalil's printer prints in 2 hours from the number of photos that Alex's printer prints in 2 hours.
D. Graph a table of values for each printer and compare the number of minutes when the number of photos is 120.
Answer:
it is B and D that is the answer
What is 1x1= what does that equal
Answer:
hm 2
Step-by-step explanation:
Answer:
the answer is 1 I'm pretty sure lol
Will give brainliest
Answer:
Really?!?! Welp I'm here for it.
Step-by-step explanation:
which of the following constructions is this?
Answer:
acute hope it helps
Step-by-step explanation:
mark as brainiest
Construction of 30° acute angle
A seamstress used 4 meters of ribbon to make 20 bows. She used __ of a meter for each bow.
Answer:
1/5
Step-by-step explanation:
To find how much of a meter she used per bow, divide 4 by 20, since she used 4 meters for 20 bows:
4/20
= 0.2 or 1/5
So, she used 1/5 of a meter for each bow
Henry is an avid reader.He devours 90 pages in half-an-hour.How many pages has Henry read per minute?
Answer:
3 pages per minute
Step-by-step explanation:
Half an hour is eqquivalent to 30 minutes, so we do 90 (pages) / 30 (minutes) = 3--> Wich means that Henry can read 3 pages per minute.
Answer:
Henry reads 3 per minute
Step-by-step explanation:
There is 30 mins in half an hour
so divide 90/30
and you get 3
The graph of a function is shown below. Which ordered pair best represents the location of the y intercept
Write an equation of a line that passes through the point (4,3) and is perpendicular to the graph of the equation y = - 1/3x +4
Answer:
1/13x + 35/13
Step-by-step explanation:
Can someone help me please
Answer:
Loading...
Step-by-step explanation:
Answer:
IJ = 15
Step-by-step explanation:
Since ∠ I ≅ ∠ H , then Δ HIJ is isosceles with sides JH and IJ congruent.
Thus IJ = JH = 15
what is 6.3 x 10 to the negative eighth power in standard form
Answer:
6.3e-8
Step-by-step explanation:
This week Andy will practice with his band for 1 1/2 hours on Monday, 1 1/4 hours on Tuesday, 2 hours on Wednesday, and 1 3/4 hours on Thursday. Next week Andy will practice with his band for the same number of hours on Monday, Tuesday, Wednesday, and Thursday. What is the total number of hours Andy will practice with his band over these 8 days?
A. 6 1/2 hours
B. 13 hours
C. 4 1/2 hours
D. 9 hours
Answer:
B. 13 Hours
Step-by-step explanation:
how do you solve this?
Answer:
x=5/2 and y=3
Step-by-step explanation:
since AC is a perpendicular bisector, BC=CD
[tex]6x-6=3y[/tex] so [tex]6x=3y+6[/tex]
if AC = a
using pythagorean theorem:
[tex](6x-6)^2 + a^2 = (6x+1)^2[/tex]
[tex](3y)^2 + a^2 = (5y+1)^2[/tex]
simplifies to:
[tex]36x^2-72x+36+a^2=36x^2+12x+1[/tex]
[tex]9y^2+a^2=25y^2+10y+1[/tex]
further simplifies to:
[tex]84x-35=a^2[/tex]
[tex]16y^2+10y+1=(8y+1)(2y+1)=a^2[/tex]
so we now have
[tex]84x-35=(8y+1)(2y+1)[/tex]
plugging the first equation in we get
[tex]42y+84-35=(8y+1)(2y+1)=16y^2+10y+1[/tex]
[tex]42y+49=16y^2+10y+1[/tex]
[tex]16y^2-32y-48=0[/tex]
[tex]y^2-2y-3=0[/tex]
[tex](y-3)(y+1)=0[/tex] so [tex]y=-1, y=3[/tex]
y=-1 is impossible, so y=3
therefore x=15/6=5/2
hey need help step by step please✋
Answer:
Go to
Step-by-step explanation:
Ull find the answer there
Simplify the expression as much as possible. 6(x+4)+3(x−2)
9(x + 2)
Step-by-step explanation:Hi !
6(x+4)+3(x−2) =
= 6x + 24 + 3x - 6
= 6x + 3x + 24 - 6
= 9x + 18
= 9(x + 2)
Good luck !
Given f(x) = -3x + 4, find f(-6).
Answer:
f(-6) = 22
Step-by-step explanation:
[tex]f(x)=-3x+4\\\\f(-6)=-3(-6)+4\\\\f(-6)=18+4\\\\\boxed{f(-6)=22}[/tex]
Hope this helps.
I need help, I can’t get this
Answer:
B
Step-by-step explanation:
Complementary means that when added up two angles will equal 90° so 90-15=75 means that B is the correct answer.
Hi! Could anyone help with this? :)
2(b + 6) - 7 <= -3b - 30
Let's distribute the 2.
2b + 12 - 7 <= -3b - 30
Combine like terms.
2b + 5 <= -3b - 30
Subtract 2b from both sides and add 30 to both sides.
35 <= -5b
Divide both sides by -5.
-7 >= b
We had to flip the sign because we divided by a negative number.
This means that b <= -7. D is correct.
A scale drawing for a restaurant is shown below.
In the drawing, 3 cm represents 4 m.
Assuming the dining hall is rectangular, find the area of the real dining hall.
Answer:
32 m^2
Step-by-step explanation:
First find the real dimensions of the dining hall
The scale factor is 4m /3 cm
6 cm * 4m / 3cm = 8 m
3 cm * 4m / 3cm = 4 m
The area of the dining hall is
A = l*w
A = 8m * 4m = 32 m^2
Robin is having a dinner party for 135 people at her favorite restaurant. If 9 people can be seated at each table, how many tables are there?
Answer:
15
Step-by-step explanation:
Graph the inequality.
y>|x-4|+3
WILL GIVE BRAINLIEST
Answer:
B
Step-by-step explanation:
I used the graphing calculator on desmos
Which statement describes the graph
A. The graph crosses the y-axis at (0,7). Increasing from x = -10 to
x = -2 and decreasing from x = -2 to x = 10.
B. The graph crosses the y-axis at -8,0), increasing from * = -10 to
x = -2 and decreasing from x = -2 to x = 10
C. The graph crosses the y-axis at (0,7), increasing from x = -10 to
x = -2 and remaining constant from x = -2 to x = 10.
D. The graph crosses the y-axis at (0,7), increasing from x= -10 to
X = 0 and decreasing from x = 0 to x = 10
AAnswer:
Step-by-step explanation:
J
Part C
The next month, Tamiko develops a budget for her income. One-fourth of her
income is budgeted for car insurance, of her income is budgeted for
gasoline, of her income is budgeted for savings, and the remainder is
budgeted for spending money. She earns $234.80 for working at the fast food
restaurant, $64 for baby sitting, and $20 in allowance. How much of her total
monthly income can she spend, according to her budget?
Answer:
Step-by-step explanation:
Total amount earned by Tamiko = $234.80+$64+$20
Total amount earned by Tamiko = $318.80
If she spend One-fourth of her income on car insurance,amount she budgeted for car insurance = 1/4×$318.80 = $79.7
Let assume one third of her income is budgeted on gasoline, the amount budgeted for gasoline = 1/3× $318.80 = $106.27
Also let assume one-fifth is budgeted on savings, amount spent on savings = 1/5×$318.80 = $63.76
If the rest is on spending, fraction if the rest will be 1-(1/4+1/3+1/5)
= 1-(15+20+12)/60
= 1-47/60
= 13/60
This means that she can spend 13/60 of her total budget according to her spending.
Note that the fraction budgeted on savings and gasoline are assumed. You can use any other fraction and use the same method in the calculation to get the required fraction she spent.
[tex]10x-16y=12 \\ 5x-3y=4[/tex]
If [tex](x, \ y)[/tex] is a solution to the system of equations above, what is the value of [tex]x-y[/tex] ?
Answer:
24/25
Step-by-step explanation:
Step 1: Define systems of equation
10x - 16y = 12
5x - 3y = 4
Step 2: Rewrite one of the equations
5x = 4 + 3y
x = 4/5 + 3y/5
Step 3: Solve for y using Substitution
Substitute 2nd rewritten equation into 1: 10(4/5 + 3y/5) - 16y = 12Distribute the 10 to both terms: 40/5 + 30y/5 - 16y = 12Simplify the fractions down: 8 + 6y - 16y = 12Combine like terms (y): 8 - 10y = 12Subtract 8 on both sides: -10y = 4Divide both sides by -10: y = 4/-10Simply the fraction down: y = -2/5Step 4: Substitute y back into an original equation to solve for x
Substitute: 5x - 3(-2/5) = 4Multiply: 5x + 6/5 = 4Subtract 6/5 on both sides: 5x = 14/5Divide both sides by 5: x = 14/25Step 5: Check to see if solution set (14/25, -2/5) is a solution.
Substitute into an original equation: 10(14/25) - 16(-2/5) = 12Multiply each term: 28/5 + 32/5 = 12Add: 12 = 12Here, we see that x = 14/25, y = -2/5 and solution (14/25, -2/5) indeed works.
Step 6: Find x - y
x = 14/25
y = -2/5
Substitute: 14/25 - (-2/5)Simplify (change signs): 14/25 + 2/5Add: 24/25Hope this helped! :)
Answer:
[tex]\displaystyle x-y=\frac{24}{25}[/tex]
Step-by-step explanation:
We are given the system:
[tex]\left\{ \begin{array}{ll} 10x-16y=12 & \quad \\ 5x-3y=4& \quad \end{array} \right.[/tex]
And asked to find the value of x - y if (x, y) is a solution to the above system.
Thus, let's solve the system. We can use eliminiation
We can see that the coefficients of x share a LCM.
Multiplying the second equation by negative two yields:
[tex]\left\{ \begin{array}{ll} 10x-16y=12 & \quad \\ -10x+6y=-8 & \quad \end{array} \right.[/tex]
Adding the two equations yields:
[tex](10x-10x)+(-16y+6y)=(12+(-8))[/tex]
Simplify:
[tex]-10y=4[/tex]
Solve for y:
[tex]\displaystyle y = \frac{4}{(-10)} = -\frac{2}{5}[/tex]
To find x, substitute y for either equation and evaluate. The second equation states that:
[tex]5x-3y=4[/tex]
Substitute:
[tex]\displaystyle 5x-3\left(-\frac{2}{5}\right)=4[/tex]
Multiply:
[tex]\displaystyle 5x+\frac{6}{5}=4[/tex]
And solve for x:
[tex]\displaystyle \begin{aligned} 5x+\frac{6}{5} &= 4 \\ \\ 5x &= \frac{14}{5} \\ \\ x &= \frac{14}{25}\end{aligned}[/tex]
Hence, our solution to the system is:
[tex]\displaystyle \left(\frac{14}{25},- \frac{2}{5}\right)[/tex]
We want to find the value of:
[tex]x-y[/tex]
Substitute:
[tex]\displaystyle = \left(\frac{14}{25}\right) - \left(-\frac{2}{5}\right)[/tex]
Evaluate. Hence:
[tex]\displaystyle x - y = \frac{24}{25}[/tex]
And we're done!
complete the statements to describe the graph that represents the equation (y-8)=-2(x-2)^2
the vertex is
the directrix is y=
the focus is
the focal width is
Answer:
The vertex is
✔ (2, 8)
The directrix is y =
✔ 8.125
The focus is
✔ (2, 7.875)
The focal width is
✔ 0.5
Step-by-step explanation:
got it correct on the assignment on edge 2020
Answer:
(2, 8)
8.125
(2, 7.875)
0.5
Step-by-step explanation:
correct on edge
Estimate and calculate each product
a. 625 x 34 b. 1014 x 59
Answer:
a. 21,250
b. 59,826
Step-by-step explanation:
hope this helps :)
The image shown here shows a scale drawing of the average seventh grader's foot next to the world's largest foot.
If the average seventh grader's foot is approximately 10 inches long, estimate the length of the world's largest foot. Explain your thinking.
Answer:
If you are estimating....
Step-by-step explanation:
if the small foot is 10in then the bigger foot must be around 12-13inchs considering on how big it is to the little foot, so about 13 inches
Can somebody please help with this ?? :)
Order the following weights from smallest to largest 17,000 mcg, 12 mg, 10 gr, 0.4 g, 1.oz, 1/2 lb.
Answer:
1/2 pound
1 ounce
17,000 mcg
10grams
0.4
12 mg
