QUESTION
arning Page
The length of a rectangle is 3 m less than twice the width, and the area of the rectangle is 65 m². Find the dimensions of the rectangle.
Answer:
width: 6.5 mlength: 10 mStep-by-step explanation:
Let w represent the width of the rectangle in meters. Then (2w-3) is the length. The area is the product of length and width:
A = LW
65 = (2w-3)(w)
2w² -3w -65 = 0
(2w -13)(w +5) = 0 . . . . . . . factor
w = 6.5 . . . . . . . . the positive solution
2(6.5) -3 = 10 . . . the length of the rectangle
The width of the rectangle is 6.5 meters; the length is 10 meters.
Question 2 (Essay Worth 10 points)
(07.02 MC)
An equation is shown below:
3(2x - 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
ses
GE
22 23
Source
VG
B I
US
IX
SE
E
Styles
Format
Answer:
Part A: 1 solution
Part B:
3(2x-7)=3
6x-21=3
+21 +21
6x=24
/6 /6
x=4
X=24
Step-by-step explanation:
First you distribute 3(2x-7)=3 to 6x-21=3. Next you do inverse operations by adding 21 to both sides of the equation to get 6x=24. Finally you divide both sides by 6 to get x=4
La función de costos para una compañía es C=125q + 13500 y su punto de equilibrio es q=270. Plantear la función de Utilidad
Based on the information given, the total cost incurred based on the equation given as C= 125q + 13500 will be 47250.
From the information given, the cost function is given as C=125q + 13500 while the value of q is given as 270. Therefore, on order to find the cost, we'll slot in the value of q into the equation given. This will be:
C=125q + 13500
C = 125(270) + 13500
C = 33750 + 13500
C = 47250
In conclusion, the cost is 47250.
Read related link on:
https://brainly.com/question/25441033
Luna is competing in a 200 m race.
She runs at a constant speed of 5.4 m/s for the first 50 m, then 4.4 m/s for 10 seconds.
The remainder of the race takes her 29 seconds to complete.
What is Luna's average speed for the entire race to 1 dp?
Answer:
24
Step-by-step explanation:
Answer:
24 in the answer
Step-by-step explanation:
Perpendicular Bisector Theorem
A perpendicular bisector of a line segment is a line which divides the line segment into two equal parts. So here, PS = PQ
=》 PS = 3a
=》 PQ = a + 16
PS = PQ
3a = a + 16
3a - a = 16
2a = 16
a = 16/2
a = 8.
_______
RainbowSalt2222 ☔
Hello there can you please help y
Answer:
5x + 28 = 7x - 4
2x = -32
x = -16
(9x - 8 ) + (x + 10)+(x+2)
Answer: 11x+4
(simplify?)
Step-by-step explanation:
Remove parentheses.
9x−8+x+10+x+2
Add 9x and x
10x−8+10+x+2
Add 10x and x.
11x−8+10+2
Add −8 and 10.
11x+2+2
Add 2 and 2.
11x+4
Step-by-step-explanation:
Evaluate:
[tex]9x - 8 + x + 10 + x + 2[/tex]
Add the first two terms:
[tex]10 + 2 + x + 2[/tex]
Evaluate:
[tex]10x + x + 2 + 2[/tex]
Add the terms:
[tex]11x + 2 + 2[/tex]
Solution:
[tex]11x + 4[/tex]
ANSWER:
[tex]11x + 4[/tex]
Find the differential of the function.
u = 3x4 + 4
Answer:
U(x)= 3+4
Step-by-step explanation:
I simplified this equation into function notation form, then simplified the 12 and 4 with the common factor of 4.
Hope this helped and have a great day,
Ginny
Answer:
14
Step-by-step explanation:
you could solve this three different ways
1. 4*3 is 12 so add 4 = 16
2. 4 squared because 4*4 = 16
3. draw 4 groups of four to get 16
Which one of the following statements about fractions is correct?
Question 9 options:
1/3 is an improper fraction.
9/7 is a proper fraction.
5/16 is a mixed number.
4/4 is equal to 1.
Answer:
4/4 is equal to 1 is the only one that's correct
Step-by-step explanation:
Answer:
4/4 and 1/3 are the correct statements
Eli is deciding between two different movie streaming sites to subscribe to. Plan A costs $14 per month plus $2 per movie watched. Plan B costs $10 per month plus $3 per movie watched. Let A represent the monthly cost of Plan A if Eli watches xx per month, and let B represent the monthly cost of Plan B if Eli watches xx movies per month. Graph each function and determine the interval of movies watched, x,x, for which Plan A is cheaper than Plan B.
put it on a graph
Hope this helps I really tried
By analyzing the graph, we can see that plan B is cheaper for the interval [0, 4), while plan A is better if you look 4 or more movies per month.
How to get the cost equations?
We know that plan A costs $14 per month plus $2 per movie, so if you watch x movies, the cost is:
C₁(x) = $14 + $2*x
Plan B costs $10 per month plus $3 per movie, so if you watch x movies, the cost is:
C₂(x) = $10 + $3*x
Now to compare the costs, you can see the graph at the end. Where C₂(x) is the blue line, and C₁(x) is the green line.
In the graph, you can see that between x = 0 and x = 4, the blue line is below the green one. So, in the interval [0, 4) plan B is cheaper.
While for x > 4, the green line is below the blue one, so for x > 4 you should choose plan A.
If you want to learn more about linear equations, you can read:
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what is the expression for 6 times the sum of y and 11
Answer:
6y+66
Step-by-step explanation:
What is 2(5-3x)+(x-10)
Answer:
-5x
Step-by-step explanation:
-5x
step to step explaination:
2(5-3x)+(x-10)
=10-6x+x-10
=10-10-6x+x
= -5x
PLEASE MARK MY ANSWER AS BRAINLIEST.
1 2/3 divided by 2 3/4
Answer:
20 / 33
Step-by-step explanation:
Brianlyest plz
multiply
1 1/2 x 1 1/4=______
Answer:
121/8
Step-by-step explanation:
Simply Multiply.
3) Can anyone help me with this?
Answer:
The answer is A.
Step-by-step explanation:
Can I have brainiest?
Ava bought a new computer and is now
$249 in debt. How much money does
Ava have?
What does $0 represent in this problem?
Answer:
If Ava is in Debt she will have 0 dollars. 0 represents how much money Ava has. Hope this helps!
Step-by-step explanation:
Harry is paid £8.60 per hour for the first 30 hours he works each week. After 30 hours he is paid 1 and a half times the hourly rate.
Last week Harry worked 33 hours. He was also paid a bonus of 1/10 of his earnings
Calculate how much in total Harry was paid last week
Answer:
1404.81
Step-by-step explanation:
1277.1 +127.71 = i read it wrong the first time sorry
The total amount paid to harry in past week, is 299.28.
What is amount?Amount is the sum or the total value.
For example, if A purchase 2 kg rice at the price of 40 rs/kg, the amount will be 40×2= 80 rs.
Given that,
The amount paid to Harry for 1 hour = $8.60
Since, Harry worked for 33 hours,
So, The amount paid to Harry for 33 hours = 8.60×33=283.8
Harry gets half times more amount than hourly rate and also gets bonus for last 3 days
So for last 3 days the extra amount paid to Harry
= 3×1/2×8.60+3×1/10×8.60
= 12.9+2.58
=15.48
So the total amount paid to harry = 283.8+15.48=299.28
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The pumps will turn off when the volume in the tank hits 10,000 gallons. To the nearest minutes after how long does this happen
Answer:
150 minutes
Step-by-step explanation:
PleaseHelp! Easy math
Answer:
1.x=12
6/12 divided by 3 for both denominator and numerator
2. x=5
2/10 divided by 3 for both denominator and numerator
5. x=60
60/100 divided by 20 for both denominator and numerator
Find out #3 for yourself
Step-by-step explanation:
Help plzdsadsadsadsdsa
Answer:
Step-by-step explanation:
9b²c² = (3bc)²
100m²n⁶ = (10mn³)²
I hope I've helped you.
Theresa Morgan, a chemist, has a 30% hydrochloric acid solution and a 55% hydrochloric acid solution. How many liters of each should she mix to get 437.5 liters of a hydrochloric acid solution with a 45% acid concentration?
Answer:
Step-by-step explanation:
30F + 55S = 45(437.5)
30F + 55S = 19687.5
30F = 19687.5 - 55S
F = (19687.5 - 55S) / 30
30((19687.5 - 55S) / 30) + 55S = 19687.5
S = 0 (30%)
F = (19687.5 - 55S) / 30 (55%)
find the the sulotion set/roots of the following equation
1. x(x + 3) = 28
2.3s(s-2) = 12s
3.( t + 1)²+(t - 8) ² = 45
4.(x + 2)² (x - 2)² 16
_______ + __ = _
5 3 3
5. 4 r
______ + ____ = -2
t - 3 2
Dante runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
Step-by-step:
We can write it in the proportion [tex]\frac{7}{60} = \frac{x}{24}[/tex]
where x is our number of miles trying to find
We now cross multiply or use the butterfly method which I will demonstrate both
Cross MultiplyWe multiply the numerator with the dominator
so [tex]7 multiplied by 24[/tex]
and [tex]60 multiplied by x[/tex]
[tex]7*24=60x[/tex]
[tex]168=60x[/tex]
[tex]\frac{168}{60} =\frac{60x}{60}[/tex]
[tex]2.8=x[/tex] or [tex]x=2.8[/tex]
Now for the
Butterfly MethodYou would do 7 times 24 divided by 60 or [tex]\frac{7*24}{60}[/tex]
Then[tex]\frac{168}{60}[/tex] simplify
[tex]2.8[/tex] so 2.8 miles in either method
dana starts biking the 2 miles from her home at a speed of 12 mph. 2 minutes later, her brother leaves the house. What should his minimum biking speed be if he wants to get to school no later than his sister?
Answer:
15 miles per hour
Step-by-step explanation:
12 miles per hour / 60 mins = 0.2 miles per minute
0.2 mpm * 10 mins = 2 miles (it takes her 10 mins to travel 2 miles)
at to 2 minutes shes already 0.4 miles ahead of her brother.
he will have to travel to school in 8 mins to arrive at the same time as his sister so his speed will have to be x*8= 2 so x=2/8 or 0.25 so his speed will have to 0.25 mpm so 0.25*60= 15
his speed should be 15 miles per hour
1. A variable whose value cannot be predicted or set with certainty is a:_____.
a. discrete variable
b. random variable
c. realistic variable
d. simulation variable
2. If chance or uncertainty is present in a system then there is an element of ____ in the decision-making problem.
a. danger
b. security
c. risk
d. difficulty
3. Best case analysis is a(n) ____ view of the problem.
a. pessimistic
b. optimistic
c. risky
d. certain
4. Worst case analysis is a(n) ____ view of the problem.
a. pessimistic
b. optimistic
c. risky
d. certain
5. What method is used to generate observations from a distribution?
1. Random Variable
2. Risk
3. Optimistic
4. Pessimistic
5. Im not sure
(2a-1/3) / b/15 when a=-3/5 and b=-6.75
Answer:
4.148148149
Step-by-step explanation:
that's the answer
Step-by-step explanation:
2a-1/3 / b/15
[tex](2 \times \frac{ - 3}{5 } ) \div \frac{ - 6.75}{15} \\ = \frac{ - 6}{5} \times \frac{15}{ - 6.75} \\ = \frac{18}{6.75} [/tex]
HELP WITH THIS PLS :)0000
Answer:
5 to 1 power
Step-by-step explanation:
Answer:
5^(15) or 5 to the 15th power
Step-by-step explanation:
When simplified, both equal to 305175..
Find the surface area. Enter the exact answer in simplest form.
Answer:
3024π square inches
Step-by-step explanation:
The surface area is the sum of ...
lateral area of the conelateral area of the cylinderarea of the circular baseThe relevant area formulas are ...
A = πrs . . . . . lateral area of cone with radius r and slant height s
A = 2πrh . . . . lateral area of cylinder with radius r and height h
A = πr² . . . . . area of a circle of radius r
The radius is half the diameter, so is (36 in)/2 = 18 in. When we add up these areas, we can factor out a common factor to simplify the expression a bit.
A = πrs +2πrh +πr²
A = πr(s +2h +r) = π(18 in)(30 in +2(60 in) +18 in) = π(18)(168) in²
A = 3024π in² . . . . surface area
Check the picture below.
so, to get the area of the object, we'll use the lateral area of a cone with a height of 30 and a radius of 18, and the lateral area of a cylinder with height of 60 and radius of 18, and sum those two up.
[tex]\stackrel{\textit{lateral area of a cone}}{\pi r\sqrt{r^2+h^2}}\implies \pi 18\sqrt{18^2+30^2}\implies 108\pi \sqrt{34} \\\\\\ \stackrel{\textit{lateral area of a cylinder}}{2\pi rh\implies 2\pi (18)(60)}\implies 2160\pi[/tex]
[tex]\stackrel{\textit{area of the bottom circle of the cylinder}}{\pi r^2\implies \pi 18^2\implies 324\pi } \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{total area of the shape}}{108\pi \sqrt{34}+2160\pi +324\pi ~~\approx~~9782.1115~~\implies ~~\stackrel{\textit{rounded up}}{\boxed{9782~~in^2}}}[/tex]12
help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
what is the value of X?
Check the picture below.
What is the quotient of 8×10 to the 20/4÷2×10 to the 18th in scientific notation
Step-by-step explanation:
[tex] = \frac{8 \times {10}^{24} }{ 2\times {10}^{18} } [/tex]
[tex] = \frac{8}{2} \times {10}^{24 - 18} [/tex]
[tex] = 4 \times {10}^{6} [/tex]
[tex] \: [/tex]
[tex] \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = 4 \times {10}^{6} [/tex]
Answer:
[tex] \sf \frac{8 \times {10}^{24} }{2 \times {10}^{18} } = ... \times {10}^{?} [/tex]
[tex] \sf (8 \div 2) \times {10}^{(24 - 18)} =... \times {10}^{?} [/tex]
[tex] \sf4 \times {10}^{6} = ... \times {10}^{?} [/tex]
[tex]↪4 \times {10}^{6} [/tex]
