Answer:
let the width of the playground be X
length will be (X+15)
area - length * width = 2700
(X+15)* X = 2700
x^2+15x-2700=0
x^2+60x-45x-2700=0
X(X+60)-45(X+60)=0
(X+60)(x-45)=0
x=45 because, the dimensions cannot be in negative
so length = 60 and width = 45
find x and y (Please answer)
Answer:
X=58
Y=32
Step-by-step explanation:
Right angle is 90°
90-58=32
The one thats 58° is opposite on x so they are th same what means y is 32°
Juan Garcia sells life insurance policies. He earns a 12 percent commission on every policy he sells. Juan made the following sales this week: Monday $425.00, Tuesday $694.25, Wednesday $296.14, Thursday $501.85, and Friday $358.76. What is Juan’s commission for the week? _______________
Answer: Juan Ramirez made $185.00
Step By Step Explanation:
For the first 10 suits he made $12.50 each suit, then he made $20 for the additional 3.
250*.05=12.50
250*.08=20
12.50*10=125
3*20=60
125+60=185.
Simplify 12x7y3 divided by 6x3y
Answer:
12x7y3
----------- = 6x4y3
6x3y
Step-by-step explanation:
In dividing these numbers, you simply subtract 6x from 12x and subtract 3y from 7y because 6x and 3y are both in the denominator. 3 is left alone.
Shop Mart bought 47 crates of cereal. In each crate, there are a dozen boxes of cereal. How many boxes of cereal did Shop Mart buy? Answer the question below and remember to label your answer!
Answer:
564 Boxes Of Cereal
Step-by-step explanation:
You take 47 (# of crates), and 12 (# of items in a dozen) and multiply them.. to get 564
Set a is integers and B is whole numbers which one is correct...please help
-20 and -7 are in circle A, but outside circle B
0, 9, 81 are in circle B
=====================================================
Explanation:
The set of whole numbers is
{0, 1, 2, 3, 4, ...}
While the set of integers is
{ ..., -3, -2, -1, 0, 1, 2, 3, ... }
The difference is that integers involves negative numbers.
-----------------
The upper left corner is incorrect because the "0" should be in set B since 0 is also a whole number. The lower left corner is also ruled out because of this reason.
The upper right corner (choice H) is incorrect as well because 10 and 46 are whole numbers also, so they belong in set B which is a better description/place for them.
So basically the numbers 0,1,2,3,... go in circle B. The negatives of those values will go in circle A, but outside circle B. Only choice J describes this kind of situation.
Solve the following system of equations.
(15 Points)
- 2x + y = -20 & 4y + 3x = 30
PLEASE HELP ME
Answer:
1. x=0 y=-20
2. x=0 y=7.5
Step-by-step explanation:
I have done over a million times again and I keep getting it wrong
Answer:
The answer is 5 and -5.
Step-by-step explanation:
Answer:
not sure, sorry try googling it thats all i can answer
Lillian has 8 jars each with 240 milliliters of apple cider vinegar. How many liters of vinegar is in all 8 jars?
Answer:
1.92 litres
Step-by-step explanation:
1l=1000ml
1 jar=240ml=0.24l
8 jars= 240x8=1920ml=1.92l
What is -11+blank equals 15
Answer:
26
Step-by-step explanation:
Fifteen minues negative eleven equals to twenty six. Hope this helps and good luck with your assignment.
15-(-11)=26
The value of x is 26 .
Given,
-11+blank equals 15 .
Now,
Let the number in the blank be x .
So, rewriting the equation with x,
-11 + x = 15
Now combine the like terms,
x = 11 + 15
x = 26
Thus the blank is equal to 26 .
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You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money from one of them. Before giving you money, they each say they will make you play a game. Your sister says she wants you to flip a fair coin. She will give you $9 for heads and $21 for tails. Your mother says she wants you to roll a six-sided die. She will give you $5 times the number that appears on the die. Determine the expected value of each game and decide which offer you should take.
The maximum amount you can get from your mother is $30, while the most amount you can get from your sister is $21, but the dice is the better bargain.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
The expected value of X is:
[tex]E(X) = np\\[/tex]
You need to borrow money for gas, so you ask your mother and your sister.
You can only borrow money from one of them.
Before giving you money, they each say they will make you play a game. Your sister says she wants you to flip a fair coin.
She will give you $9 for heads and $21 for tails.
Your mother says she wants you to roll a six-sided die.
She will give you $5 times the number that appears on the die.
The expected value for a coin will be
[tex]E(X) = 1 \times 0.5 = 0.5[/tex]
The expected value for a dice will be
[tex]E(X) = 1 \times \dfrac{1}{6} = 0.1667[/tex]
You can easily receive $9/$21 from your sister, but it won't be as much as the dice, and you'll take a bigger risk with the dice because it has six sides.
The maximum amount you can get from your mother is $30, while the most amount you can get from your sister is $21, but the dice is the better bargain.
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On a coordinate plane, a line with positive slope goes through points (negative 6, negative 4) and (0, 6). A point is at (4, negative 6).
Use the given line and the point not on the line to answer the question.
What is the point on the line perpendicular to the given line, passing through the given point that is also on the y-axis?
(−3.6, 0)
(−2, 0)
(0, −3.6)
(0, −2)
The point (0, 6) on the line perpendicular to the given line, passing through the given point that is also on the y-axis.
The given coordinates are (-6, -4) and (0, 6).
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
Now, put (x1, y1) = (-6, -4) and (x2, y2)=(0, 6) in slope formula m = (y2-y1)/(x2-x1)
So, m = (6+6)/(0+4)
= 12/4
= 3
The point on the line perpendicular to the given line,
Then the slope = -1/m
= -1/3
Substitute m=-1/3 and (x, y) = (0, 6) in y=mx+c, we get
6 = -1/3 (0) + c
⇒ c = 6
Now, substitute m=-1/3 and c = 6 in y=mx+c, we get
y = -1/3 x+ 6
Line is passing through y-axis, so y = -1/3 (0) +6
y=6
Therefore, the point (0, 6) on the line perpendicular to the given line, passing through the given point that is also on the y-axis.
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Answer:
Step-by-step explanation:
(0, −3.6) jst did this
Find the coordinates of Point R so that it is 3/7 the distance from D to C. 15
(10 Points)
35
55
Answer:
you will know the answer by fractioning the 35and 55 then mutipy by 15 once you do that then it is the anwer you should get 5927.487
Step-by-step explanation:
Write an equation for a graph that passes through the points
(10,6) and (5,3).
Answer:
10x + 6y and 5x + 3y
Step-by-step explanation:
I might not be 100% correct but take this into consideration.
Write an equation for the parabola that has the
given vertex and passes through the given point.
Vertex
(0,-1)
Point
(1,-2)
f(x)= [?](x+ [ ]) ^2 + [ ]
Answer:
-1, 0, -1
f(x)=-1(x+0)^2-1
Step-by-step explanation:
vertex translated from (0,0) to (0,-1), so the function translated down by -1
f(x)=a(x-0)^2 -1
substitute (1,-2) to solve a,
a(1-0)^2 -1 = a-1 = -2
a=-1
thus, f(x)=-1 (x+0)^2 -1
a cupboard cost 2400 and was sold at a profit of 20% what is the selling price and profit in naira
Answer:
sold at 2880 profit of 480
Step-by-step explanation:
What is the answer too 509+35+12
Answer:
556
Step-by-step explanation:
the answer to your question
As of a certain date, there had been a total of 14,649 performances of two shows on Broadway, with 2389 more performances of Show A than Show B. How many performances were there of each show? There were performances for Show A.
Subtract the difference:
14,649 - 2389 = 12,260
Divide that by 2
12,260 / 2 = 6,130
That is the number of shows for B.
For A add the 2,389 to the number of shows for B
2389 + 6130 = 8,519
Show A = 8,519
Show B = 6,130
Answer:
14,649 - 2389 = 12,260
Divide that by 2
12,260 / 2 = 6,130
That is the number of shows for B.
For A add the 2,389 to the number of shows for B
2389 + 6130 = 8,519
Show A = 8,519
Show B = 6,130
Step-by-step explanation:
B. A certain chocolate bar costs $50.00 per piece. However, if you buy more than
5 pieces they will mark down the price to P48.00 per piece. Use a piecewise
function to represent the cost in terms of the number of chocolate bars bought.
Answer:
P(x) = $50.00*x if 0 ≤ x ≤ 5
P(x) = $48.00*x if 5 < x
Step-by-step explanation:
A piecewise function is a function that acts differently in different regions of the domain.
In this case we know that:
P = $50.00 per piece if the number of pieces is less or equal than 5.
P = $48.00 per piece if the number of pieces is more than 5.
Then if we define our variable x as the number of pieces of chocolate, we can write the price function as:
P(x) = $50.00*x if 0 ≤ x ≤ 5
P(x) = $48.00*x if 5 < x
-412-(-223) worked out
Answer:
-189
Step-by-step explanation:
Remember to follow the rules of signs:
- If there are two positive signs next to each other, you add:
- If there is one negative sign and one positive sign next to each other, you subtract.
- If there is two negative signs next to each other, you add:
- 412 - (-223) = -412 + 223
Subtract:
223 - 412 = -189
-189 is your answer.
~
(x+10)(3x+10) they are linear pair
Answer:
x = 40Step-by-step explanation:
(x+10)(3x+10) they are linear pair
means adds up and equates to 180
x + 10 + 3x + 10 = 180
4x + 20 = 180
x = 160 / 4
x = 40
Ellie completed an algebraic proof to show that V12 + V108 = 8 - 31.
=
V12 + 7108
122 + 1083
42. 33 + 362 - 31
8.32
Which expression can be placed in the blank to correctly complete Ellie's
proof?
Answer:
The answer to your question is given below.
Step-by-step explanation:
To know the correct answer to the question, do the following:
√12 + √108
= 12^½ + 108^½
= 4^½ • 3^½ + 36^½ • 3^½
Factorise
3^½ (4^½ + 36^½)
Recall:
4^½ = √4 = 2
36^½ = √36 = 6
Therefore,
3^½ (4^½ + 36^½) = 3^½ (2 + 6)
= 3^½ • 8
How many repeating digits are in 0.64 repeating?
Answer:
There are no repeating digits
For a quadrilateral to be rhombus the diagonals have to be
Answer:
perpendicular bisectors of each other
Step-by-step explanation:
For a quadrilateral to be rhombus the diagonals have to be perpendicular bisectors of each other.
__
The diagonals of a parallelogram bisect each other. When that parallelogram is a rhombus, the diagonals are perpendicular, hence mutual perpendicular bisectors.
Two turtles come from opposite sides of the road, starting at the same time and moving at the same speed. When they met, they jvere 72 inches from the right hand edge of the road. How wide is the road?
Answer:
144 inches
Step-by-step explanation:
If they are moving at the same speed and start at the same time, they have to go the same distance
That means they will meet in the middle
If they are 72 inches from the right side that means the middle is 72 inches from the right side
The road is 2 times 72 inches
2*72 = 144
144 inches
Which expressions are equivalent to 7x – 14? Check all that apply.
which expressions are equivalent to 7x-14?
14-7x
x – 2
–(14 – 7x)
7(x – 2)
3x – 14 + 4x
2x – 10 + 5x + 4
Answer:
–(14 – 7x) 7(x – 2)3x – 14 + 4x
Step-by-step explanation:
Answer:
The answers are c, d, and e
Step-by-step explanation:
Given:QT bisects SP, SP bisects QT
Prove: QRS=SRT
Answer:
I DOnt get please more info
Step-by-step explanation:
A bag of skittles contains 80 pieces of candy. You ate 16 pieces, what fraction of the
bag do you have left?
Answer:
4/5
Step-by-step explanation:
80-16=64 (you have 64 candies left)
64/80 (the fraction of the amount of candies you have left)
4/5 (simplify the fraction - divide the top and bottom by 16)
14=−2c−6−3c what is the value of c?
Answer:
c=-4
Step-by-step explanation:
14=-2c-6-3c
14=-5c-6
20=-5c
-4=c
Lee is a teacher at a local high school who wanted to assess whether or not dogs physically resemble their owners enough for people to be able to correctly match a dog to their owner better than if just guessing. Lee, who is also a dog owner, showed pictures of two dogs to her class of 16 students. One photo was of the teacher's dog (Yoda) and the other photo was of a dog the teacher had never met. The students were asked to guess which dog was actually the teacher's. If dogs do not physically resemble their owners, the students would get a correct match with probability 0.50. It turned out that 14 of the 16 students correctly picked out the teacher's dog.
Does it appear that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing?
Answer:
The proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing.
Step-by-step explanation:
In this case we need to test whether the proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing.
The hypothesis can be defined as follows:
H₀: The proportion of people who can correctly match a dog to their owner is 50%, i.e. p = 0.50.
Hₐ: The proportion of people who can correctly match a dog to their owner is more than 50%, i.e. p > 0.50.
The information provided is:
[tex]x=14\\n=16[/tex]
The sample proportion is:
[tex]\hat p=\frac {x}{n}=\frac{14}{16}=0.875[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]=\frac{0.875-0.50}{\sqrt{\frac{0.50(1-0.50)}{16}}}\\\\=3[/tex]
The test statistic value is 3.
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
[tex]p-value=P(Z>3)\\\\=1-P(Z<3)\\\\=1-0.99865\\\\=0.00135\\\\\approx 0.0014[/tex]
The p-value is, p-value = 0.0014.
The p-value of the test is very small for all the commonly used significance level. The null hypothesis will be rejected.
Thus, there is not enough evidence to support the claim.
Conclusion:
The proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing.
Yoshi needs to find the inverse of f(x) = 5x – 2. What is the first step?
Answer:
D. Replace f(x) with y
Step-by-step explanation:
apex
Yoshi needs to find the inverse of f(x) = 5x – 2. The first step is to Switch x and y. The correct answer is option C.
In mathematics, an inverse function is a function that "undoes" the actions of another function. If a function f(x) maps an input x to an output y, the inverse function, denoted as f^(-1)(x) or sometimes written as f(x)^(-1), maps the output y back to the original input x. The correct answer is option C.
To find the inverse of a function, the first step is to switch the x and y variables. In this case, the function is f(x) = 5x - 2.
To find the inverse, we need to switch x and y, so the new function becomes x = 5y - 2.
It's important to note that not all functions have an inverse. A function must be one-to-one (each input maps to a unique output) for an inverse to exist. Additionally, the domain and range of a function and its inverse are swapped.
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