Answers
3b. You can tell the system of linear equations has no solution if the equations result in a contradiction, such as 0 = 1. They will have infinite solutions if the result is a tautology, such as x = x or 0 = 0.
Word Problem
(a) There is actually no problem stated. If we assume the problem is to determine the length and width that meet the described conditions, then it would be appropriate to let variables represent the length (L) and width (W). The system of equations restates what the words state:
.. L - W = 2 . . . . . . length and width differ by 2 units
.. 2(L + W) = 40 . . the perimeter is 40 units
(b) You can solve this many ways. One way is to divide the second equation by 2, so you have a "sum and difference" problem
.. L - W = 2
.. L + W = 20
This is easily solved by adding the two equations to get
.. 2L = 22
.. L = 11
.. W = L -2 = 9
The solution is (L, W) = (11, 9). This is interpreted to mean the length of the rectangle is 11 units; the width is 9 units.
Related Questions
The surface area of a cube is 150 cm2. what is the area of each face of the cube?
Answers
Answer:
6 25 5 these r the answers
Step-by-step explanation:
edge2021
Select all of the following that are quadratic equations.
7x2 + 14x = 0
x3 - 3x2 + 1 = 0
5x - 7 = 0
x2 + 3x -5 = 0
x - 5 = 9x + 7
x2 - x = 3x + 7
Answers
[tex]7x^2+14x=0[/tex] is quadratic; the highest exponent is 2.
x³-3x²+1=0 is NOT quadratic. The highest exponent of x is 3, not 2.
5x-7=0 is NOT quadratic. The highest exponent of x is 1, not 2.
x²+3x-5=0 is quadratic; the highest exponent of x is 2.
x-5=9x+7 is NOT quadratic. The highest exponent of x is 1, not 2.
x²-x=3x+7 is quadratic; the highest exponent of x is 2.
What is the set of all possible outcomes of a probability experiment?
Answers
The set of all possible outcomes of a probability experiment is called the sample space. It can be represented as a list, a table, or using set notation.
Explanation:The set of all possible outcomes of a probability experiment is called the sample space. It is denoted by the symbol Ω. The sample space can be represented as a list, a table, or using set notation.
For example, if we are flipping a fair coin, the sample space would be {H, T}, where H represents heads and T represents tails.
In another example, if we were rolling a fair six-sided die, the sample space would be {1, 2, 3, 4, 5, 6}.
Learn more about Probability here:
https://brainly.com/question/22962752
#SPJ12
Classify the model as exponential growth or exponential decay. Identify the growth or decay factor AND the percent of increase or decrease per time period.
y=12(2)^t
Plz help!
Answers
The growth factor is 2.
The increase is (2 -1)*100% = 100% per period.
help with geometry please! will mark brainliest
Answers
LN/LM=NO/OM
LN=10
LM=18
NO=4
OM=x (The value you want to find)
2. When you substitute this values in LN/LM=NO/OM, you have:
10/18=4/x
10x=(18)(4)
x=(18)(4)/10
x=72/10
3. Finally, you obtain:
x=7.2
The answer is: The value of "x" is 7.2
What is 38.224 rounded to the nearest whole number?
Answers
Here is your answer:
The proper answer to this question is "39".
8 is greater than 5 therefore it rounds up one.
Your answer is 39.
If you need anymore help feel free to ask me!
Hope this helps!
What type of association does the scatter plot show?
Answers
Answer:
wheres the scatter plot
Step-by-step explanation:
Carl puts 1.10$ in his penny bank every day in the month of July (31 days). His total savings was 55.00$ at the end of June. What is the best estimate for Carl's savings at the end of July? (no I did not make a typo)
Answers
To estimate Carl's savings at the end of the month, we must round the $1.10 Carl puts in his bank to $1 as it is closest to $1, and then multiply that by the number of days in July (31).
1 × 31 = 31
A N S W E R:
The best estimate for Carl's savings at the end of the month of July is $31.
A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation. find the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating. round to the nearest thousandth if necessary.
Answers
The probability that all the 11 randomly selected graduates will find jobs in their chosen field within a year of graduating is [tex]0.009[/tex] (round to the nearest thousandth).
According to the question, at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation.
At random 11 candidates are selected from the college so, the probability that all the 11 randomly selected graduates will find jobs in their chosen field within a year of graduating is-
[tex](0.65)^{11}=0.00875\\(0.65)^{11}\approx0.009[/tex]
Hence, the probability that all the 11 randomly selected graduates will find jobs in their chosen field within a year of graduating is [tex]0.009[/tex] (round to the nearest thousandth).
Learn more about probability here:
https://brainly.com/question/23044118?referrer=searchResults
which figure could be the intersection of two planes? A. ray B. line C. point D. segment
Answers
The answer to this question is (B)
Answer: The answer is B line
Step-by-step explanation:
A large statue is in the shape of a square pyramid. Each side of the base of the square pyramid is 723 feet long and the height is 341 feet.
What is the volume of the statue?
___ft³
Answers
(a^2)h/3
Next, plug in the variables you know.
(723^2)341/3
(522,729)(113.67)
= 59,416,863 is your answer.
Hope this helps!
Answer:
The volume is[tex]=59,416,863ft^3[/tex]
Step-by-step explanation:
Given A large statue is in the shape of a square pyramid. Each side of the base of the square pyramid is 723 feet long and the height is 341 feet.
Base edge=a=723 feet.
Height=h=341 feet
As, [tex]\text{Volume of square pyramid is=}(a^2)\frac{h}{3}[/tex]
Substitute the values of a and h, we get
[tex]V=(723^2)\frac{341}{3}[/tex]
[tex]=(522,729)(113.67)[/tex]
[tex]=59,416,863ft^3[/tex]
A population of 55 foxes in a wildlife preserve doubles in size every 14 years. The function y equals 55 times 2 Superscript x , where x is the number of 14-year periods, models the population growth. How many foxes will there be after 28 years?
Answers
[tex]y=55*2^2=55*4=220[/tex]
There will be 220 foxes after 28 years.
Final answer:
To find the fox population after 28 years, we use the function y = 55 × 2^x, with x = 2 because 28 years is two 14-year periods. After calculating 2^2 and multiplying by 55, we find that there will be 220 foxes.
Explanation:
To calculate the number of foxes in a wildlife preserve after 28 years, given that the population doubles every 14 years, we start with the function y = 55 × 2^x, where x represents the number of 14-year periods.
Since 28 years is equivalent to 2 periods of 14 years, we will substitute x with 2:
Write down the equation substituting x with 2: y = 55 × 2^2.Calculate the exponent: 2^2 = 4.Multiply the base population by 4: 55 × 4 = 220.Therefore, after 28 years, there will be 220 foxes in the wildlife preserve.
Find the common ratio geometric sequence please
Answers
[tex]\bf \cfrac{27}{243}=\cfrac{3}{27}=\cfrac{\frac{1}{3}}{3}=\cfrac{\frac{1}{27}}{\frac{1}{3}}\implies \cfrac{1}{9}\impliedby \textit{common ratio}[/tex]
notice, all we did was, divide the value, by the number to its left-hand-side.
In a hockey club there are 5% more boys than there are girls. If there is a total of
246 members in the club, what is the number of boys and the number of girls?
HOW WOULD I WORK THIS OUT
Answers
For an instance, pb stands for percentage of boys, and pg stands for percentage of girls.
pb + pg = 100%
There are 5% more boys, pb = pg + 5%
Input to the previous equation to find the percentage of the girls
pb + pg = 100%
pg + 5% + pg = 100%
2pg + 5% = 100%
2pg = 100% - 5%
2pg = 95%
--------------- divide each side by 2
pg = 47.5%
Substitute the percentage of girls to either equations to find the percentage of the boys
pb = pg + 5%
pb = 47.5% + 5%
pb = 52.5%
Find the number of the boys and the girls
The boys
b = pb × total members
b = 52.5% × 246
b = 0.525 × 246
b = 129.15
Because the number of people couldn't be a fraction, round to the nearest whole number
b = 129
The girls
g = total - b
g = 246 - 129
g = 117
There are 129 of boys, and 117 of girls
The number of boys and the number of girls are 126 and 120 respectively.
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Given that, there are 5% more boys than there are girls, there is a total of
246 members in the club,
We need to find the number of boys and the number of girls,
Here we will use the concept of percentage as well as equation solving,
Let the number of girls be x, so, the number of boys = 105% of x = 1.05x
According to the question,
x+1.05x = 246
2.05 x = 246
x = 120
1.05x = 126
Hence, the number of boys and the number of girls are 126 and 120 respectively.
Learn more about percentage click;
https://brainly.com/question/29306119
#SPJ3
Amare wants to ride a Ferris wheel that sits four meters above the ground and has a diameter of 50 meters. It takes six minutes to do three revolutions on the Ferris wheel. Complete the function, h(t), which models Amare's height above the ground, in meters, as a function of time, t, in minutes. Assume he enters the ride at the low point when t = 0. h(t) = · sin( t + ) +
Answers
Answer:
the correct answer is
h(t)= 25 * sin (1 pi t + (-0.5) pi) + 29
Step-by-step explanation:
Kaylee is painting a design on the floor of a recreation room using equilateral triangles. She begins by painting the outline of Triangle 1 measuring 52 inches on a side. Next, she paints the outline of Triangle 2 inside the first triangle. The side length of Triangle 2 is 75% of the length of Triangle 1. She continues painting triangles inside triangles using the 75% reduction factor. Which triangle will first have a side length of less than 26 inches?
Answers
It was triangle 4 for my answer. You have different measurements but im sure its possibly the same answer. hope this helps!
Mrs. Pine took tennis lessons. She traveled 15 miles one way at an average cost of $0.45 per mile. Her racket cost $84, balls cost 15.50, shoes cost $47.00, her warm-up was $32, and her shorts were on sale for $22. She paid 5% sales tax on her equipment and $25.00 per lesson for 10 lessons. Including the cost of round-trip travel for all 10 lessons, what did this cost?
A. $474.03
B. $486.53
C. $595.53
D. $608.03
Answers
Answer:
$595.53
Step-by-step explanation:
o-ware
Please help thank you very much.
Answers
area = 12 * 3
area = 36 in^2
answer is C
The corners of a fence are at a (11,3), b (3,-11), c (-13,-9), and d (-5,9). let q be the midpoint of ????????⎯⎯⎯⎯⎯, r be the midpoint of ????????⎯⎯⎯⎯⎯, s be the midpoint of ????????⎯⎯⎯⎯⎯, and t be the midpoint of ????????⎯⎯⎯⎯⎯. what are the midpoints of the sides of this fence?
Answers
The midpoint between two points (a, b) and (c, d) can be found by averaging their coordinates:
.. midpoint = ((a+c)/2, (b+d)/2)
Kelly is hanging shelves in her closet. She can buy shelves for $1.25 a foot. Kelly buys one 5-foot shelf and a shelf that measures 24 inches. The rest of her materials cost $90. How much change will she get it she pays with $100?
Answers
There are 12 inches in a foot.
Kelly buys two shelves that measure 7 feet altogether, and the cost of each foot is $1.25.
Multiply the number of feet by the cost per foot.
7 × 1.25 = 8.75
Add this to the cost of the rest of her items.
90 + 8.75 = 98.75
Finally, subtract this from the $100 Kelly will use to pay.
100 - 98.75 = 1.25
ANSWER: Kelly will receive $1.25 change after her payment.
What is the solution of 3+ (x-2)/(x-3) <=4
X<3
X<=3
X>3
X>=3
Answers
Answer:
A. X < 3.
Step-by-step explanation:
We have the equation, [tex]3 + \frac{x-2}{x-3} \leq 4[/tex]
Adding -4 on both sides, we get,
[tex]\frac{x-2}{x-3} -1 \leq 0[/tex]
i.e. [tex]\frac{x-2-x+3}{x-3} \leq 0[/tex]
i.e. [tex]\frac{1}{x-3} \leq 0[/tex]
So, we have the inequality [tex]\frac{1}{x-3} \leq 0[/tex].
Its critical points are given by x-3 = 0 which implies x = 3.
Now, we will find the region among the two [tex]( - \infty , 3 )[/tex] and [tex]( 3 , \infty )[/tex] that satisfies the inequality [tex]\frac{x-2}{x-3} -1 \leq 0[/tex]
Substitute x = 2 in the above inequality, we get -1 < 0, which is true. Again, substitute x=4 gives 1 < 0, which is false.
As x=4 lie in the region [tex]( 3 , \infty )[/tex] , it cannot be the solution of the given inequality.
So, the solution of the given inequality is the region [tex]( - \infty , 3 )[/tex] .i.e. x < 3.
Hence. option A is correct.
For the quadrilateral shown below, what is m∠a + m∠c ? A.)53 B.)137 C.)180 D.)233
Answers
The value of the given expression m∠a + m∠c is 233 degrees and this can be determined by using the given data.
Given :
Quadrilateral ABCD.Angle B is 95 degrees.Angle D is 32 degrees.The following steps can be used in order to determine the value of the given expression:
Step 1 - The sum of interior angles of the quadrilateral is 360 degrees.
Step 2 - According to the given data, angle B is 95 degrees and angle D is 32 degrees.
Step 3 - So, the value of the given expression can be calculated as:
[tex]\angle A+\angle B+\angle C+\angle D = 360[/tex]
[tex]\angle A+95+\angle C+32 = 360[/tex]
Step 4 - Simplify the above expression.
[tex]\angle A+\angle C = 360-95-32[/tex]
[tex]\angle A+\angle C = 233[/tex]
Therefore, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/6321910
Please only math geniuses help, what is x+1/5y=-6 in slope intercept form?
Answers
Subtract from each side (1/5y=-x-6 )
Then multiply by 5/1 on both sides to get rid of the 1/5 (y=-5x-30)
Nial is signing a lease for an apartment that rents for $1020/month. How much will he pay to move in if he must pay the first and last months' rent and a security deposit equal to 60% of his monthly rent?
2040
$2448
$2652
$2856
Answers
%60 of 1020 is:612
2040+612=2652
so third one is true
Answer:
Option (c) is correct.
He pays $ 2652.
Step-by-step explanation:
Given : Nial is signing a lease for an apartment that rents for $1020/month.
We have to find the amount he pay to move in if he must pay the first and last months' rent and a security deposit equal to 60% of his monthly rent.
Since, given he must pay the first and last months' rent and a security deposit equal to 60% of his monthly rent.
Given monthly rent is $ 1020
That is 60% of his monthly rent = [tex]\frac{60}{100}\times 1020=612[/tex]
Thus, total amount he needs to pay is first month rent + last month rent + 60% of his monthly rent.
That is 1020 + 1020 + 612 = 2652.
Thus, He pays $ 2652.
please help :)
.....................
Answers
The basic idea is that you draw an arc through both rays so that the points of intersection are the same distance from the vertex. Then, you construct a perpendicular bisector of the segment between those intersection points. That will bisect the angle.
For (3), you bisect each of the angles made by the original bisector. (1/2 of 1/2 = 1/4)
What effect does replacing x with 6 have on the graph for the function f(x)?
F(x)=|x+3|-2
Answers
Answer:
The graph is shifted left 6 units
Step-by-step explanation:
Hope this helps all in need~!! :3 Have a wonderful day, and remember- You're the best! No one does you quite like you do<3
My jar has 25 dimes and some quarters, nickels, and pennies. The number of quarters plus dimes equals the number of pennies. I have 4 nickels for every dime and 2 pennies for every nickel. How many quarters are there? A. 175 B. 150 C. 125 D. 75
Answers
q = quarters
p = pennies
n = nickels
1. q + n = p
2. 4n = 1 d
3. 2p = 1n
1 d = 4n
25 d = x
x = 4 * 25 = 100 nickels
1 n = 2 p
100 n = x p
100 n = 200 p
q + n = p
There are 100 nickels. there are 200 pennies
q + 100 = 200
q = 200 - 100
q = 100
Answer
There are 100 quarters,<<<<======
Answer:
Quarters = 175
Step-by-step explanation:
Let the number of dimes in the jar = 25
number of Nickels = n
number of quarters = q
number of pennies = p
Now we will form the equation
Number of quarters plus dimes equal the number of pennies.
q + 25 = p --------(1)
You have 4 nickles for every dime
n = 4d
n = 4 × 25 = 100
and you have 2 pennies for every nickels
p = 2n
p = 2 × 100 = 200
Now we replace p = 200 in equation (1)
q + 25 = 200
q = 200 - 25
q = 175
Option A. 175 will be the answer.
Jarrod walked 3 miles due north before turning left and walking 3.5 miles due west. He turned again and returned to his starting point by walking a straight path. What was the angle of the last turn? Round to the nearest degree.
Answers
the angle of the last turn was angle alfa in the point C
tan(alfa)=3/3.5=0.8571
alfa=arctan(0.8581)=40.60°
Round to the nearest degree---------> alfa=41°
the answer is 41°
Answer for function
Answers
Given: ABCD is a rectangle, AC ∩ BD = O, m∠ABD=30°, AC=16 in. Find BC.
I need the answer to this question ASAP!
Thanks!
Answers
BC/AC = sin(∠BAC)
BC = AC*sin(∠BAC)
.. = (16 in)*sin(30°)
.. = 8 in