Answer:
The length of the rectangle (l) = 10 cm
The width of the rectangle (w) = 7 cm
Step-by-step explanation:
Step(i):-
Let 'x' be the length of the rectangle
Given that the width is 3 feet shorter than the length
The width of the rectangle = x -3
Area of the rectangle = length × width
Step(ii):-
Area of the rectangle = length × width
= x ( x-3)
Given that the area of the rectangle = 70 square feet
x ( x-3) = 70
⇒ x² - 3x - 70 =0
⇒ x² - 10 x + 7 x - 70 =0
⇒ x (x -10) +7( x-10) =0
⇒ ( x+7) ( x-10) = 0
⇒ x =-7 and x=10
Final answer:-
we choose x=10
The length of the rectangle (l) = 10 cm
The width of the rectangle (w) = 7 cm
A store offers some customers a coupon and then counts how many customers return to the store to shop again. The two-way table shows the results of this experiment. Offered coupon Not offered coupon Returned to store 85 60 Did not return to store 25 38 Select a word or phrase from the drop-down menus to correctly complete the statements describing the association. More customers who returned to the store were Choose... . More customers who did not return to the store were Choose... . There Choose... appear to be an association between whether a customer received a coupon and the customer’s tendency to return to the store to shop again.
Answer:
More customers who returned to the store were "Offered a Coupon"
More customers who did not return to the store were "not offered a coupon"
There "does" appear to be an association between whether a customer received a coupon and the customer’s tendency to return to the store to shop again.
Hope this helps buddy!
Step-by-step explanation:
Answer:
1.offered coupon
2.not offered a coupon
3. does
(Click the Picture for my question) and thank you!
Answer:
D
Step-by-step explanation:
By definition, π is defined to be the ratio of a circle's circumference to its diameter. In other words:
[tex]\displaystyle \pi=\frac{C}{d}[/tex]
In fact, if you multiply both sides by the diameter d, you can see that:
[tex]C=\pi d[/tex]
Which is the formula for circumference you've been commonly taught.
35/140= 5/x which number is equal to x?
Answer:
Step-by-step explanation:
Multiply both sides by 140 to get:
35 = 700/x
Multiply both sides by x:
35x = 700
x = 20
Emmaline bought a new book for $12 with a coupon for 25% off, how much would it cost without the coupon
Answer:
$16
Step-by-step explanation:
[tex]0.75x = 12\\3x = 48\\x = 16[/tex]
PLEASE ANSWER THIS QUESTION RIGHT.The height of Ryan's rocket is represented by the table of values h(t) below, where t represents time in seconds.
Part A:What is the maximum height of the rocket reached?
A.146 feet
B.128 feet
C.100 feet
D.68 feet
Part B: how long did it take for the rocket to reach the ground?
A.1.5 seconds
B.2 seconds
C.4.5 seconds
D.1 second
Kevin was thinking of number Kevin adds 5 to it,then doubles and gets an answer of 48.4. What was original numbers
A desk is on sale for $438, which is 27% less than the regular price.
What is the regular price?
Answer: $600
Step-by-step explanation:
The sale price is 27% less means $438 is equal to 73% of the original price. So to calculate the original price:
Original price = (438÷73) X 100
$ 600
The regular price of the desk is $600.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
Let's say the regular price of a desk = x
Then,
27% of x ⇒ 27 × x / 100 = 0.27x
So,
x - 0.27x = 438
0.73x = 438
x = 600
Hence "The regular price of the desk is $600".
For more about the percentage,
brainly.com/question/13450942
#SPJ2
The sum of two numbers is 240. If one number is twice the other number, find the two numbers.
Answer:
The sum of two numbers is 240. The larger number is 6 less than twice the smaller. Find the numbers.
----------
Let the smaller be "x" ; Larger is "2x-6"
EQUATION:
x + 2x-6 = 240
3x= 246
x = 82 (smaller)
2x-6 = 158 (larger)
Step-by-step explanation:
Answer:
160 and 80
Step-by-step explanation:
Find the indicated term of each sequence by repeatedly multiplying the first term by the common ratio.
Enter your answer to 5 decimal places if necessary. Use a calculator.
A
-50, 35, -24.5,..;5th term
The 5th term of the sequence is 70
Answer:
Step-by-step explanation:
The first term here is -50 and the common ratio is 0.70. Note that the second term is 0.70(50) = 35.
The formula a(n) = a(0)*r^(n -1) becomes a(n) = -50*0.70^(n -1), and so
the 5th term is a(5) = -50*0.70^4 = -12.005
Refer to the previous exercise. The researchers wanted a sufficiently large sample to be able to estimate the probability of preferring the new analgesic to within 0.08, with confidence 0.95. If the true probability is 0.75, how large a sample is needed to achieve this accuracy
Answer:
The large sample n = 117.07
Step-by-step explanation:
Step(i):-
Given that the estimate error (M.E) = 0.08
The proportion (p) = 0.75
q =1-p = 1- 0.75 =0.25
Level of significance = 0.05
Z₀.₀₅ = 1.96≅ 2
Step(ii):-
The Marginal error is determined by
M.E = [tex]\frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }[/tex]
[tex]0.08 = \frac{2 X \sqrt{0.75(1-0.75)} }{\sqrt{n} }[/tex]
Cross multiplication , we get
[tex]\sqrt{n} = \frac{2 X \sqrt{0.75(1-0.75)} }{0.08 }[/tex]
√n = [tex]\frac{2 X0.4330}{0.08} = 10.825[/tex]
squaring on both sides , we get
n = 117.07
Final answer:-
The large sample n = 117.07
Lucas is selling ribbons to raise money for the Juvenile Diabetes Research Foundation. His expenses include $46 for materials, plus $0.02 per ribbon. If Lucas charges $0.25 per ribbon, how many ribbons does he need to sell to break even
Answer:
He needs to sell 200 ribbons to break even.
Step-by-step explanation:
The break even point is where the expenses are equal to the earnings, so you can write an expression that indicates that Lucas' expenses are equal to his earnings:
46+0.02x=0.25x
Now, you can solve for x to find the answer:
46=0.25x-0.02x
46=0.23x
x=46/0.23
x=200
According to this, the answer is that he needs to sell 200 ribbons to break even.
Tim has 32 songs on his iPad 3/8 of those songs are by Bob Marley how many Bob Marley songs does Tim have all his iPod
yine bookmarks
The measures of the angles of a triangle are shown in the figure below. Find the
measure of the largest angle.
63
(4x-5)
(x+17)
Answer:
Answer: 10
Step-by-step explanation:
5x+17+2x+3+90=180
7x+20+90=180
7x+110=180
7x=70
x=10
Soo I need help... can u help?
Answer:
I think its (6042 = 1780 + a) but I'm not really sure though but I hope if that helped somehow
2.5 in 2 in 3.5 in Note Numbers are rounded to the nearest tenth in the image What is the approximate surface area of the triangular prism represented by the net shown above? OA about 20 125 square inches OB. about 21 875 square inches OC about 23.25 square inches D. about 25 75 square inches
Answer:
Its C
Step-by-step explanation:
Please tell me weather it’s true or fade for each one please!
Answer:
False, true, true, false, false
Step-by-step explanation:
A huge trucking firm determines that its fleet of trucks averages a mean of 12.4 miles per gallon with a standard deviation of 1.2 miles per gallon on cross-country hauls. The distribution of miles per gallon is approximately normally distributed. What is the probability that a randomly selected truck averages fewer than 10 miles per gallon
Answer:
[tex]P(x<10miles)=0.023[/tex]
Step-by-step explanation:
From the question we are told that
Sample mean [tex]\=x=12.4[/tex]
Standard deviation [tex]\sigma=1.2miles\ per\ gallon[/tex]
Probability of [tex]P(x<10miles)[/tex]
Generally the equation for [tex]P(x<10miles)[/tex] is mathematically given as
[tex]P(x<10miles)=(\frac{10-12.4}{1.2})[/tex]
[tex]P(x<10miles)=0.023[/tex]
Therefore The probability that a randomly selected truck averages fewer than 10 miles per gallon
[tex]P(x<10miles)=0.023[/tex]
If the sensor started working 15 minutes into the draining, how much was in the tank to begin with?
Factor the trinomial. Factor out the GCF first.
11x^2 + 33x + 22
Step-by-step explanation:
11x² + 33x + 22
= 11(x² + 3x + 2)
= 11(x + 1)(x + 2).
9-3 divided by 1/3 + 1
Answer:
1
Step-by-step explanation:
HELPPPPPPPPPPPP PLSSSSSSSSSSSSSS
Answer: it’s C
Step-by-step explanation:
d,
hope this helps! May I have brainliest please? :D
The sales tax for an item was $36.80 and it cost $460 before tax.
Find the sales tax rate. Write your answer as a percentage.
Answer:
16,928
Step-by-step explanation:
just solve it in calculation so you can see the answer
and remember study hard to go to bts concert joke to your dream
Select the correct answer. The supply and demand curves for a product line of bicycles are shown. Approximately where is the equilibrium point? A. (93,268) B. (132,220) C. (180,355) D. (220,115)
Answer:
B. (132,220)
Step-by-step explanation:
The equilibrium point is the point where the quantity demanded is equal to the quantity supplied.
The equilibrium point (equilibrium price and equilibrium quantity) occur at the point where the supply and demand curves cross each other.
From the graph, we can see that the supply and demand curve cross each other at point. The equilibrium point is this point and it is gotten by tracing to the vertical and horizontal axis.
The equilibrium point is at (132, 220).
Hence the equilibrium price = $132 and equilibrium quantity = 220
Answer:
It's B
Step-by-step explanation:
plato
3. What is the product of 22.5 and 3.32?
A. 74.700
B. 747.00
C. 13.950
D. 139.50
Answer:
A
Step-by-step explanation:
22.5 times 3.32 results in 74.7, or A.
wei kiat is 4 times as old as hafiz. Find the ratio of Wei kiat's age to hafiz's age. pls help
Work out the missing numbers:
a) 1.6÷ nothing = 0.04
b) 10.2÷ nothing = 0.8
Answer:
A is 40
B is 12
Step-by-step explanation:
A- because 1.6 divided by 40 is 0.04
B- because 12 or 12.6 for an exact answer
X=3G/2 rearrange to make g the subject
Answer:
2x/3 = G
Step-by-step explanation:
X=3G/2
2X= 3G
2X/3 = G
Solve: 4x + 6 = 8x - 18
Answer:
x=-3
Step-by-step explanation:
4x+6=8x+18
We simplify the equation to the form, which is simple to understand
4x+6=8x+18
We move all terms containing x to the left and all other terms to the right.
+4x-8x=+18-6
We simplify left and right side of the equation.
-4x=+12
We divide both sides of the equation by -4 to get x.
x=-3
Answer:
hope it helps answer is x=6
If A car depreciates 20% when purchased and 8% each year after and the car is 6 years old what was the original purchase price?
Answer:
The value of a car purchased for $20,000 decreases at a rate of ... the car after 3 years? ... Kathy plans to purchase a car that depreciates. (loses value) at a rate of 14% per year. The initial ... If the population, P, increases by 20%each year, which equation could be used to find the population after 1 ... half a year= 6 months!
Step-by-step explanation:
HOPE THIS HELPS!!
Derrick's dad bought new tires for $900
using a credit card. His card has an
interest rate of 19%. If he has no other
charges on his card and does not make a
payment, how much money will he owe
the credit card company after one
month?
Answer:
171
Step-by-step explanation:
9 * 19 is 171 dollars so that's what he'll owe