Answer:
The dimensions of rectangle are:
width = w = 4.5 ftlength = l = 6 ftStep-by-step explanation:
Let 'l' be the length and 'w' be the width of the rectangle
The length 'l' of the rectangle is 3ft less than twice the width 'w'.so
[tex]l=2w-3[/tex]
Also, the area of the rectangle is 27ft^2.
[tex]A=27\:ft^2[/tex]
As the area of the rectangle has the formula:
[tex]\:A\:=\:l\times w[/tex]
so
[tex]27=\:l\times w[/tex]
so the equation becomes
[tex]27=\left(2w-3\right)\times \:w[/tex]
[tex]27=2w^2-3w[/tex]
[tex]2w^2-3w-27=0[/tex]
[tex]\left(w+3\right)\left(2w-9\right)=0[/tex]
if [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
[tex]w+3=0\quad \mathrm{or}\quad \:2w-9=0[/tex]
[tex]w=-3,\:w=\frac{9}{2}[/tex]
as the width can not be negative, so
[tex]w=\frac{9}{2}=4.5[/tex] ft
As
[tex]l=2w-3[/tex]
[tex]l=2\left(4.5\right)-3[/tex]
[tex]l=9-3[/tex]
[tex]l=6[/tex]
So the dimensions of rectangle are:
width = w = 4.5 ftlength = l = 6 ftThe number of miles driven by a truck driver falls between 300 and 700, and follows a uniform distribution.
a. Find the probability that the truck driver goes more than 650 miles in a day.
b. Find the probability that the truck drivers goes between 400 and 650 miles in a day.
c. At least how many miles does the truck driver travel on the furthest 10% of days?
Answer:
(A) 0.125 probability
(B) 0.625 probability
(C) 660 miles
Step-by-step explanation:
The distance driven by a truck driver daily, falls between 300miles and 700miles and follows a uniform distribution.
(A) The probability that the truck driver goes more than 650 miles a day is:
[700 - 650] / [700 - 300] = 50/400 = 0.125
(B) The probability that the truck driver goes between 400 and 650 miles a day is:
[650 - 400] / [700 - 300] = 250/400 = 0.625
(C) The minimum number of miles the truck driver travels on the furthest 10% of days is given thus:
10% of 400 = 40
Subtract this from the farthest distance;
700miles - 40miles = 660miles
Write an equation for 51 divided by 3 is k
Answer:
51/3 = 17
Step-by-step explanation:
3 can go into 5 one time (1)
5 minus 3 equals 2.
Bring down the one, make sure the 2 and 1 are beside. (21)
How many times can 3 go in to 21 ?
7 !
So, put 1 and 7 together, and get 17!
Marlene made a table to relate the number of T-shirts to the total cost. How can
you tell from the table that the relationship is not proportional?
Number of T-shirt
1
2
3
4
A
The number of T-shirts increases in intervals of one.
B
The rule of multiplying by 8 works for all but 4 T-shirts.
C
The number of T-shirts increases by a different amount than the total cost does.
D
All of the numbers of T-shirts can be multiplied by the same amount to get the cost.
Answer:
The Correct answer would be B.
The rule of multiplying by 8 works for all but 4 T-shirts
Step-by-step explanation:
Answer: B) The rule of multiplying by 8 works for all but 4 T-shirts.
Step-by-step explanation:
Got ir right on Time4Learning
a line has the equation 3x-4y=1 choose the equation of a line that is parallel to the given line
Step-by-step explanation:
The equation of the given line is 3x - 4y = 1
A line parallel to the given line will have slope that is the same as this one.
The equation of a straight line is expressed as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
Now, we write the given line in the slope - intercept form;
3x - 4y = 1
-4y = -3x + 1
Divide through by -4
[tex]\frac{-4y}{-4}[/tex] = [tex]\frac{-3x}{-4}[/tex] + [tex]\frac{1}{-4}[/tex]
y = [tex]\frac{3}{4} x[/tex] - [tex]\frac{1}{4}[/tex]
The slope of this line is [tex]\frac{3}{4}[/tex]
Any line with the slope [tex]\frac{3}{4}[/tex] will be parallel to the given line.
6.) The average delivery charge for a refrigerator is $54. The standard deviation is 53. Find the
range in which at least 75% of the data values will fall.
1
Answer:
88.9%
Step-by-step explanation:
find the measure of all the missing angles.
Answer:
a = 68deg b = 112deg c = 68deg
Step-by-step explanation:
angle opposite 112deg is 112deg (vertically opp angels)
since the 2 angles are same, a = 180deg - 112deg = 68deg (angles on a straight line are supplementary)
b = 112 deg (vertically opp angles)
c = a (vertically opp angles)
NEED HELP ASAP I WILL RATE 5 STARS
Answer:
B
Step-by-step explanation:
If you plug in 5 1/3 to the equation, the result is 6, meaning that the point lies on the line.
Ethan has an interesting 10-day job offer. He can earn a flat rate of $100 per day or
get paid $1 the first day, $2 the second day, $4 the third day, $8 the fourth day, and
so on. Which payment plan should he take, the flat-rate plan or the increase-per-day
plan? Explain.
helppppp please I will give brainliest
Answer:
y=3/4x
Step-by-step explanation:
I need this at 8 hurry guys I’ll give brainlyest
Answer:
1 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
What is the purpose of a pilot sample?
a. To help clarify how the sampling process will be performed.
b. To provide an idea of what the population standard deviation might be.
c. To save time and money instead of having to carry out a full sampling plan.
d. To provide a better idea of what the population mean will be.
Answer:
b. To provide an idea of what the population standard deviation might be
Step-by-step explanation:
Pilot sample can be regarded as the
small scale preliminary experiment whereby a smaller size of samples which is smaller compare to expected size is taken population of interest which gives the estimate for the population standard deviation.
The population standard mean is a parameter and it's been calculated from every entity of the population and
can be calculated using below formula
σ =√Σ (xi -μ)^2 /N
Where N= size of the population
σ= population standard mean
μ= population mean
Xi=each sample from the population
What is the standard form of this number?
(8 × 0.1) + (5 × 0.01) + (1 × 0.001) =
Answer:
0.851
Step-by-step explanation:
Please hurry please
Answer:yes
Step-by-step explanation:
44/4=11
11 is less than 27
complete the point-slope equation of the line through (1,0) and (6,-3)
Answer: y- (-3)= -3/5 (x-6)
Step-by-step explanation:
Compare using <, > or = 7 2/5 _ 7 3/7
Answer:
<
Step-by-step explanation:
7 2/5 = 37/5
7 3/5 = 52/7
~~~~~~~~~~~
37/5 times 7 = 259/35
52/7 times 5 = 260/35
~~~~~~~~~~~~~~~~~
Subtract then you difference is one, therefor 7 3/5 is greater.
What is the x-intercept of the line?
(22,36)
(27,54)
(32,72)
Answer:
12
Step-by-step explanation:
the equation of the line is y=18/5x-216/5 and then find the x intercept and that is 12
The x-intercept of the line is 1.
The line intersects the x-axis at the point (1, 0).
Here,
To find the x-intercept of a line, we need to identify the point at which the line intersects the x-axis.
At the x-intercept, the y-coordinate is always 0.
Let's use the given data to find the equation of the line first using two points (x, y):
Using (22, 36) and (27, 54):
Calculate the slope (m) of the line:
m = (change in y) / (change in x) = (54 - 36) / (27 - 22) = 18 / 5
Use the slope and one of the points to find the equation of the line
(y = mx + b).
Let's use (22, 36):
36 = (18/5) * 22 + b
36 = 39.6 + b
b = 36 - 39.6
b = -3.6
So, the equation of the line is y = (18/5)x - 3.6.
Now, to find the x-intercept (where y = 0), we can set y = 0 in the equation and solve for x:
0 = (18/5)x - 3.6
(18/5)x = 3.6
x = 3.6 * 5 / 18
x = 1
Therefore, the x-intercept of the line is 1.
The line intersects the x-axis at the point (1, 0).
learn more on x-intercept :
https://brainly.com/question/1698680
#SPJ4
Kyle invests $11200 in two different accounts. The first account paid 10 %, the second account paid
7 % in interest. At the end of the first year he had earned $958 in interest. How much was in each
account?
$____at 10 %
$____at 7 %
Answer:
Kyle invested 5,800 at 10% and 5,400 at 7%.
Step-by-step explanation:
Let x be the amount Kyle invests in the 10% account.
0.1x + 0.07(11200 - x) = 958
0.1x + 784 - 0.07x = 958
0.03x = 174
x = 5800
Kyle invests $5,800 at 10% and $5,400 at 7%.
What is the simple interest?Simple interest is the borrowing amount added only to the principal amount.
The Formula to calculate the simple interest is;
S.I. = P x T x R / 100,
Where S.I. is simple interest, P is principal amount, T is time period and R is interest rate in a year.
Given:
Kyle invests $11200 in two different accounts.
The first account paid 10 %.
The second account paid 7 % in interest.
At the end of the first year,
he had earned $958 in interest.
Let n be the amount Kyle invests in the 10% account.
0.1n + 0.07(11200 - n) = 958
0.1n + 784 - 0.07n = 958
0.03n = 174
n = 5800
Therefore, $5,800 at 10% and $5,400 at 7%.
To learn more about the simple interest; https://brainly.com/question/25845758
#SPJ2
What is the solution to -3 m 49 771-49
Answer:
49722
Step-by-step expla Reste los número 49722 solucion
Alterna entre 4,9722 x 10 a la 4
Jen is single and owns a condo. Her condo costs $120,000 and she has a $100,000 mortgage at 5%. She pays $3,600 in property tax and contributes $500 to ber church per year. Does she use Iternized Deduction or Standard Deduction?
Answer:
`298,483
Step-by-step explanation:
The price of a TV after a 20% discount is $620, what was the price before the discount?
Answer:
The original prince is: $775
Step-by-step explanation:
As the discount is 20%.As we know that
100% - 20% = 80% = 80/100 = 0.8The price after 20% discount = Discounted price = $620
We have to find the original price before the discount.
using the formula
(Discounted price) = (100 percent - discount percent) x (original price)
$620 = (100% - 20%) x (original price)
$620 = (80%) x (original price)
$620 = (80/100) x (original price)
$620 = (0.8) x (original price)
so
original price = $620/0.8
= $775
Therefore, the original prince is: $775
If x² + xy – 3y = 3, then at the point (2, 1), dy/dx
(A) 5
(B) 4
(C) 7/3 (D) 2
Answer:
A
Step-by-step explanation:
We are given the equation:
[tex]x^2+xy-3y=3[/tex]
And we want to find dy/dx at the point (2, 1).
Find dy/dx. We can take the derivative of both sides with respect to x:
[tex]\displaystyle \frac{d}{dx}[x^2+xy-3y]=\frac{d}{dx}[3][/tex]
Implicitly differentiate:
[tex]\displaystyle 2x+y+x\frac{dy}{dx}-3\frac{dy}{dx}=0[/tex]
Solve for dy/dx:
[tex]\displaystyle \begin{aligned} x \frac{dy}{dx} - 3\frac{dy}{dx} & = -2x - y \\ \\ \frac{dy}{dx}(x - 3) & = -2x - y \\ \\ \frac{dy}{dx} & = \frac{-2x-y}{x-3} \\ \\ & = \frac{2x+y}{3-x} \end{aligned}[/tex]
To find dy/dx at (2, 1), evaluate dy/dx for x = 2 and y = 1. Hence:
[tex]\displaystyle \frac{dy}{dx}\Big|_{(2, 1)}=\frac{2(2)+1}{3 - (2)}=\frac{5}{1}=5[/tex]
Hence, our answer is A.
We want to find the differential dy/dx for the given expression at the given point. We will see that the correct option is A.
How to differentiate the expression?
We have:
x^2 + xy - 3y = 3
First, we need to isolate the variable y in one side of the equation, so we get:
xy - 3y = 3 - x^2
y*(x - 3) = 3 - x^2
y = (x - x^2)/(x - 3)
Now we can differentiate this, remember that if:
f(x) = g(x)*h(x)
then:
f'(x) = g(x)*h'(x) + g'(x)*h'(x)
Using that rule.
dy/dx = (1 - 2x)/(x - 3) - (x - x^2)/(x - 3)^2
Now we need to evaluate this in x = 2 (the x-value of the point) so we get:
(1 - 2*2)/(2 - 3) - (2 - 2^2)/(2 - 3)^2
= (-3)/(-1) - (-2)/(1) = 5
So the correct option is A.
If you want to learn more about differentiation, you can read:
https://brainly.com/question/24898810
what is the are in square feet of a 100 yard by 60 yard football field
PLS HELP
4. What does the y-intercept of the graph of Monday's storm mean? Does the y-intercept of the graph of Thursday's storm have the same meaning?
Answer/Step-by-step explanation:
✅The y-intercept of the graph of Monday's storm means 0 mm of precipitation was recorded when the tracking started at 0 minutes. The y-intercept is 0 mm.
✅Thursday's Storm has the same y-intercept as the graph of Monday's Storm, which is also 0 mm precipitation at the beginning of the tracking. It has the same meaning as that of the y-intercept of the graph of Monday's Storm.
What if it like this
Answer:
The answer is 4:1
Step-by-step explanation:
16:3 goes to 4:1
Jaden and his family are using a map to drive down to Napa Valley. On the map, the distance is given by the equation c = 1.3m, where c is the number of centimeters on the map and m is the corresponding real-world distance in miles. If they cover a distance of 18 miles, that would mean a distance of centimeters on the map.
Answer:13.84
Step-by-step explanation:
Answer:
13.84
Step-by-step explanation:
A baker Likes to make cookies. The graph shows a proportional relationship between cups of flour used in numbers of cookies made. What does the point (0,0) represent and what does the point (1,26)represent
Answer:
i cant see the graph if there was a graph with it it would really help lol
Step-by-step explanation:
Answer:
Don't Be mean Online. Be a buddy, Not a Bully
Step-by-step explanation:
Video game system and several games are sold for $664. The cost of the games is 3 times as much is a cost in system. Find the cost of the system the cost of the games.
Answer:
games=$483
system=$161
Step-by-step explanation:
Answer: the cost of the system is $166 and the cost of the games is $498.
Step-by-step explanation:
I WILL MARK BRAINLIST
Answer:
the Answer is C. A and B
Step-by-step explanation
plot the points for each figure
what is first the statement or proportion
Answer: the first statement is a ratio or fractions that are equale
Is 13 a solution to the compound inequality d>5 and x<10
Answer:
Step-by-step explanation:
13>5 is correct but 13 < 10 is not correct
so 13 is not a solution