A rectangular field is eleven times as long as it is wide. If the perimeter of the field is 1680 feet, what are the dimensions of the field? A) Write an equation you can use to answer the given question. Let w be the width of the field.
Answer:
2(w+11w)=1680
Step-by-step explanation:
If the width is w, then the length is 11w.
Using the formula for the perimeter of the rectangle, the equation is 2(w+11w)=1680
Which number line represents the solutions to lx + 4) = 2?
O
O
O
←
+++
-7 -6 -5 -4 -3 -2 -1 0
1 2
+
←
+++ ++
-7 -6 -5 -4 -3 -2 -1 0 1
┫
+
+
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
++
+
-7 -6 -5 -4 -3 -2 -1 0 1
2
3
2
+3
+
3
4
4
5
▬▬▬▬▬▬▬▬
4 5
6 7
4
+ +
6
7
5 6 7
++
5 6 7
+
.............................
[tex]\frac{ {9}^{x + 1} - {3}^{2x} }{4 \times {3}^{2x - 1} } \\ [/tex]
ans : 6
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \: \cfrac{9 {}^{(x + 1)} - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{3{}^{2(x + 1)} - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{3{}^{(2x + 2)} - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} } [/tex]
here :
[tex]{ \sf {3}^{(2x+2)}=({3}^{2x - 1})\sdot (3³)} [/tex][tex]{ \sf {3}^{(2x)}=({3}^{(2x - 1)})\sdot (3¹)} [/tex][tex]\qquad \sf \dashrightarrow \: \cfrac{3{}^{(2x - 1)}(3 {}^{3} - 3 {}^{1}) }{4 \times 3 {}^{(2x - 1)} } [/tex]
[ taking [tex]{ \sf {3}^{(2x - 1)} } [/tex]common here ]
[tex]\qquad \sf \dashrightarrow \: \cfrac{27 {}^{} - 3 {}^{}}{4 } [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{24{}^{} {}^{}}{4 } [/tex]
[tex]\qquad \sf \dashrightarrow \: 6[/tex]
26) Jody earns $8.00 per hour.
Michael earns $10.00 per hour.
They each earn a 2% commission on what they sell.
Jody sold $6000. She worked 30 hours.
Michael sold $5000. He worked 40 hours.
What were each of their earnings for the week?
What was the difference in their earnings?
Jody's weekly earning is $360 and Michael's weekly earning is $500
The difference between their earning is $140
Jody sold $6000
2% commission of $6000 is (2/100)x 6000
Jody's commission is $120
He earns $8 per hour and he worked for 30 hours
= 8 x 30
=$240
Jody's total earning = 240 + 120 = $360
Michael sold $5000
2% commission of $5000 is (2/100)x 5000
Michael's commission is $100
He earns $10 per hour and he worked for 40 hours
= 10 x 40
=$400
Michael's total earning = 400 + 100 = $500
Difference in there earnings= Michael's earning - Jody's earning
= 500- 360
= $140
Therefore, Jody's weekly earning is $360 and Michael's weekly earning is $500
The difference in their earning is $140
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Write the expression 3x + 4 using words
Answer:
three times "x" plus four
Step-by-step explanation:
three times "x" plus four
Hope this helps!
There are 100 marbles in a bag. 21 are green, 26 are blue, 17 are red, 19 are yellow, and 17 are orange. True or False: 17% of the
marbles are orange and red.
Answer:
False
Step-by-step explanation:
there are total 17+17=34 orange and red marbles
34/100 is 34%, not 17%
Is 70,509,733 divisible by 6?
Answer:
no
Step-by-step explanation:
70,509,733 /6=11751622.2
Answer:
no
Step-by-step explanation:
because it has to be divisible for both 2and 3.
2:
70,509,733
3 is not even. so, not divisble by 2
3:
70,509,733
7+0+5+0+9+7+3+3= 34
34 is not divisble by 3
I HOPE THIS HELPS
S = 2πr(r + h)
Find the total surface area of a cylinder with radius 3 and height 5.
Enter an exact answer in terms of pie
Answer:
Step-by-step explanation:
We would substitute in 3 for r and 5 for h
s = 2[tex]\pi[/tex](3 + 5)
s = 2[tex]\pi[/tex]8
2 = 16[tex]\pi[/tex]
is 35 over 56 a improper fraction and is 144 over 196 a improper fraction
Use dimensional analysis to solve the following conversions. Be sure to show all work and answer with the correct number of significant figures. Please help!!
By using dimensional analysis we find the following two results:
a) 0.30 m = 0.984 ft
b) 150 km / h = 1.554 mi / h
How to use dimensional analysisIn this problem we must find a quantity of a given unit that is equivalent to another value of another unit of the same kind. For instance, we must look up for the quantity in a unit length equivalent to another quantity in another unit length. Now we proceed to obtain all the equivalencies by simple rule of three:
a) 0.30 m × (1 ft / 0.3048 m) = 0.984 ft
b) 150 km / h × (1 mi / 1.609 km) × (1 h / 60 min) = 1.554 mi / h
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Loan payments of $4000 due 200 days ago and $6000 due 63 days ago are to be replaced
by a payment of$5000 today and the balance 92 days from today. If money is worth 8.3%
and the agreed focal date is 92 days from today, what is the size of the final payment?
The size of the final payment is $5378.08
What is the size of the final payment?P1 = One loan payment = $4000
P2 = Second loan payment = $6000
P3 = Payment = $5000
Let P4 = Second payment
n1 = 200 days
n2 = 63 days
n3 = 92 days
r = Interest rate = 8.3%
[P1 * (1+ (r * n1 /365))] + [P2 * (1+ (r * n2 /365))] = P3 + [P4 / (1+(r*n3/365)]
[$4000 * (1+(8.3%*200/365)] + [$6000 * (1+(8.3%*63/365)] = $5000 + [P4 / (1+(8.3%*92/365))]
[$4000 * 1.04547945] + [$6000 * 1.01432603] = $5000 + [P4 / 1.02092055]
$4181.9178 + $6085.95618 = $5000 + [P4/1.02092055]
P4/1.02092055 = $5267.87398
P4 = $5378.080801
Therefore, the size of the final payment is $5378.08
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You are getting on a plane to visit family 1200 miles away. The plane you are boarding will travel on
average 500 miles per hour. How long will the trip take you?
Answer:
2.4 hours or 2 hours and 24 minutes
Step-by-step explanation:
Distance = rate times time
d = rt
1200 = 500t Divide both sides by 500
2.4 = t
It will take 2.4 hours. We can convert the .4 into minutes by using a unit multiplier 60 minutes = 1 hour.
[tex]\frac{.4hours}{1}[/tex] x [tex]\frac{60minutes}{1hour}[/tex] The words hours cancel out and we are left with
.4 x 60 = 24 minutes.
Given that the curves are formed from
quarter circles,
find the area of the shaded region.
Give your answer in terms of TT.
4m
4m
The diagram is not drawn to scale
The area of the shaded region is 8π-16.
The side of the square is 4 m. Imagine a diagonal of the given square, which divides the shaded region into two equal parts due to symmetry. The radius of the quarter circle formed by one of the arcs and the two sides of the square is 4 m. The area of the quarter circle = 1/4πr²The area of the quarter circle = 1/4π4²The area of the quarter circle is 4π m². The diagonal and the two adjacent sides of the square form a right-angled triangle with a base of 4 m and a height of 4 m. The area of the triangle is 1/2*base*height. The area of the triangle is 1/2*4*4. The area of the triangle is 8 m². The area of the shaded region bisected by the diagonal = Area of quarter circle - Area of triangleThe area of the shaded region bisected by the diagonal = 4π-8 m²The area of the shaded region is twice the area of the shaded region bisected by the diagonal. The area of the shaded region = 2 * (4π-8)The area of the shaded region is 8π-16 m².To learn more about area, visit :
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Given the fallowing function find (-3),f(1)
Answer:
12 ,-3, -8
Step-by-step explanation:
1: f(-3)= -5(-3)-3
2: f(0)= -5(0)-3
3: f(1)= -5(1)-3
Hope this helps!
According to a survey conducted by a city’s chamber of commerce, approximately 41.5% of city residents prefer local businesses over national chains. The survey had a margin of error of ±3.8%. Round to the nearest tenth, if necessary.
The values in percentages will be 37.7% and the maximum will be: 45.3%
How to illustrate the information?From the information, the approximately 41.5% of city residents prefer local businesses over national chains and the survey had a margin of error of ±3.8%.
Therefore, the minimum number will be:
= 41.5% - 3.8%
= 37.7%
The maximum will be:
= 41.5% + 3.8%
= 45.3%
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refer to the image pls!! Will give brainliest
Step-by-step explanation:
hmmm, it is all there, you only need to write it up.
so, please, let me know what you don't understand about such equations and variables.
(a)
2x + 5y = 45
8x + 3y = 44
(b)
to solve this we try to use either one equation to express one variable by the other. and solve for that remaining variable (and then drive the second one from that), or to combine both equations directly to eliminate one variable and solve.
I think the second option is best here.
so, we multiply the 1st equation by -4, and then we add both equations :
-8x - 20y = -180
8x + 3y = 44
-------------------------
0 - 17y = -136
-17y = -136
17y = 136
y = 8
2x + 5y = 45
2x + 5×8 = 45
2x + 40 = 45
2x = 5
x = 2.5
to rent a chair costs $2.50.
to rent a table costs $8.00.
Can someone help me with this
Answer:
[tex]\sqrt{40}[/tex] would the answer to number 1.
(-1, 2) would be the answer to number 2.
The base rate for workers compensation insurance for roofers in one state is $16.95 per $100 paid to employees. The total monthly payroll for Certified Roofing Contractors is $15,738. What is the monthly premium for workers compensation insurance?
Answer:
3.3972 repeating dbbdeebebbbebe
Step-by-step explanation:
wvehhww3g33gg3g33vv3hh333h33hhh3
Answer:
C. not covered by workers' compensation and could recover damages from the employer.
Step-by-step explanation:
Please solve this and show ALL work. PLEASE I'M SO CONFUSED I WILL GIVE YOU A LOT OF POINTS AND MARK BRAINIEST ANSWER!
hi
budget is 170
we have 20 players and all of them need a package at 7.5 each.
So for 20 players total amount spend is : 20*7.5 = 150
there is 3.99 shipping cost
total spendings : 150 + 3.99 = 153.99
AS budget is 170 , so remais : 170 - 153.99 = 16.01
Qin Corp. Issued 10-year bonds 2 years ago at a coupon rate of 9 percent. The bonds
make semiannual payments. If these bonds currently sell for 102 percent of par value,
what is the YTM? (Do not round Intermediate calculations and enter your answer as a
percent rounded to 2 decimal places, e.g., 32.16.)
In linear equation , 8.65% is the YTM .
What is a formula for linear equations?
A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.Assuming face value to be $1000
Coupon = (0.09 * 1000) / 2 = 45
Number of periods = 8 * 2 = 16
Price = 102% of 1000 = 1020
YTM = 8.65%
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help pleaseeeeeeeeeeeeeeeeeeee
6.2E15
Here ; E stands for "times 10 to the power of or simply it replaces 10^ "
f(x)=x+2
g(x) = 3x² - 5
Find (f ·g)(x).
Step-by-step explanation:
f(x) = x + 2
g(x) = 3x² - 5
= (f.g)(x)
= (x + 2).(3x² - 5)
= 3x³ - 5x + 6x² - 10
= 3x³ + 6x² - 5x - 10
Most new jobs in the United States will be in the _____. a. manufacturing industries b. goods-producing industries c. service-producing industries d. agriculture-producing industries Please select the best answer from the choices provided A B C D
Answer:
C - service producing industries.
Step-by-step explanation:
Brainliest pls, thank you
Answer:
Option C
Step-by-step explanation:
I took this already
HELP ASAP PLEASE!! FIND THE DOMAIN AND RANGE OF THJS GRAPH
The range is all the y-value or outputs of a function. In the case of a horizontal line, this is only one value.
The range is the y-intercept, -5.
The domain is all x-values or inputs of a function. For this graph, it is all real numbers (as you said).
The domain is all real numbers.
Officials begin to release water from a full man-made lake at a rate that would empty the lake in 14
14
weeks, but a river that can fill the lake in 25
25
weeks is replenishing the lake at the same time. How many weeks does it take to empty the lake? Express your answer as a fraction reduced to lowest terms, if needed
Answer:
[tex]\frac{350}{11} weeks[/tex]
Step-by-step explanation:
Let V be the volume of water in the lake and w be the number of weeks to empty the lake
Since it takes 14 weeks to empty the lake by water release, the empty rate = V/14
But at the same time the river is replenishing the lake at a rate of V/25 since it will take 25 weeks to fill the empty lake
Net empty rate = Empty rate - replenishment rate = [tex]\frac{V}{14} - \frac{V}{25} = \frac{V}{w}[/tex]Divide the equation by V to eliminate V giving[tex]\frac{1}{14} - \frac{1}{25} = \frac{1}{w}[/tex]
Multiply by 350 (14 x 25) to eliminate the denominators[tex]25 - 14 = \frac{350}{w}[/tex] ==> [tex]11 = \frac{350}{w}[/tex]
Multiply both sides by w to cancel the denominator w11w = 350
Divide both sides by 11 to getw = [tex]\frac{350}{11 }[/tex] weeks
I need help with this please and work out the problem
Answer:The answer is 425
Step-by-step explanation:
the class was required to draw plan for the foundation day. Mary and tess was assigned to draw buildings. mary draw buildings twice as much as tess. if the total buildings are 99, how many buildings was draw by mary and tess
Answer:
Mary drew 66 buildings and Tess drew 33 buildings.
Step-by-step explanation:
Let's label the number of buildings drawn by Mary as x and the number of buildings drawn by Tess as y.
We know there are 99 buildings drawn. This means
99=x+y
We also know that Mary drew twice as many buildings as Tess. We can represent this as
x=2y
Now, let's substitute x for 2y, since that would put us in common terms
99=2y+y
Add common variables together and you get
99=3y
Solve for y by dividing 99 by 3
y=33
We now know that Tess drew 33 buildings, as well as y=33. Substitute y in the equation for how many buildings Mary drew:
x=2(33)
Now we know that Mary drew 66 buildings.
To check our work,
99=x+y
99=66+33
99=99
Which data set has the same standard deviation as the data set {1, 1, 3, 5, 8} ?
{9, 8, 9, 8, 9}
{2, 2, 4, 6, 9}
{1, 2, 6, 6, 9}
{1, 1, 1, 2, 2}
The data set that has the same standard deviation with the given data set is: B. {2, 2, 4, 6, 9}.
How to Find the Standard Deviation of a Data Set?Given the data set, {1, 1, 3, 5, 8}, the standard deviation (σ) is calculated as shown below:
Standard deviation (σ) = √(SS/n)
Count (n) = 5
Mean (μ) = 3.6
Sum of Squares (SS) = 35.2
Standard deviation (σ) = (√35.2/5)
Standard deviation (σ) = √7.04
Standard deviation (σ) ≈ 2.7
Also, the standard deviation of {2, 2, 4, 6, 9} is calculated as shown below:
Count (n) = 5
Mean (μ) = 4.6
Sum of Squares (SS) = 35.2
Standard deviation (σ) = (√35.2/5)
Standard deviation (σ) = √7.04
Standard deviation (σ) ≈ 2.7
Therefore, the data set that has the same standard deviation with the given data set is: B. {2, 2, 4, 6, 9}.
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A recipe calls for the following spices:1/4 teaspoon of turmeric,1/8 teaspoon of ginger, and 1/4 teaspoon of cumin. What is the total quantity of these three spices?
How much will a person pay for 8.9 pounds of bananas at a price of $1.31 per pound?
Answer:
$11.66
Step-by-step explanation:
8.9 x 1.31 = 11.659 Round to the nearest penny
11.66