Answers
Answer: answer is C
Step-by-step explanation:
Related Questions
Two air ducts together remove 525 cubic feet of air per minute. The larger duct removes 45 cubic feet of air less than twice the amount of air removed by the smaller duct. How many cubic feet of air per minute are removed by each duct?
Answers
Answer:
I don't know
Step-by-step explanation:
The smaller duct removes 190 cubic feet of air per minute and the larger duct removes 335 cubic feet of air per minute.
What is a linear function?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Let's assume that the smaller duct removes 'x' cubic feet of air per minute.
So, The larger duct removes (2x - 45) cubic feet of air per minute.
∴ x + (2x - 45) = 525.
3x = 525 + 45.
3x = 570.
x = 190.
So, the smaller duct removes 190 cubic feet of air per minute and the larger duct removes (2(190) - 45) = 335 cubic feet of air per minute.
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Determine the probability of selecting a two-child family with one boy and one girl assuming boys and girls are equally likely
Answers
Using the binomial distribution, it is found that there is a 0.5 = 50% probability of selecting a two-child family with one boy and one girl.
For each child, there are only two possible outcomes, either it is a boy, or it is a girl. The probability of a child being a boy or being a girl is independent of any other child, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
Two children, hence [tex]n = 2[/tex].Equally as likely to be a boy or a girl, hence [tex]p = 0.5[/tex].The probability of one of each is P(X = 1), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{2,1}.(0.5)^{1}.(0.5)^{1} = 0.5[/tex]
0.5 = 50% probability of selecting a two-child family with one boy and one girl.
A similar problem is given at https://brainly.com/question/24863377
Find the dimensions of a rectangle (in m) with area 1,000 m2 whose perimeter is as small as possible. (Enter the dimensions as a comma separated list.)
Answers
The perimeter of the rectangle is the sum of its dimensions
The dimensions that minimize the perimeter are [tex]\mathbf{10\sqrt{10 },10\sqrt{10 }}[/tex]
The area is given as:
[tex]\mathbf{A = 1000}[/tex]
Let the dimension be x and y.
So, we have:
[tex]\mathbf{A = xy = 1000}[/tex]
Make x the subject
[tex]\mathbf{x = \frac{1000}{y}}[/tex]
The perimeter is calculated as:
[tex]\mathbf{P = 2(x + y)}[/tex]
Substitute [tex]\mathbf{x = \frac{1000}{y}}[/tex]
[tex]\mathbf{P = 2(\frac{1000}{y} + y)}[/tex]
Expand
[tex]\mathbf{P = \frac{2000}{y} + 2y}[/tex]
Differentiate
[tex]\mathbf{P' = -\frac{2000}{y^2} + 2}[/tex]
Set to 0
[tex]\mathbf{ -\frac{2000}{y^2} + 2 = 0}[/tex]
Rewrite as:
[tex]\mathbf{ -\frac{2000}{y^2} = -2}[/tex]
Divide both sides by -1
[tex]\mathbf{\frac{2000}{y^2} = 2}[/tex]
Multiply y^2
[tex]\mathbf{2000 = 2y^2}[/tex]
Divide by 2
[tex]\mathbf{1000 = y^2}[/tex]
Take square roots of both sides
[tex]\mathbf{y = \sqrt{1000 }}[/tex]
[tex]\mathbf{y = 10\sqrt{10 }}[/tex]
Substitute [tex]\mathbf{y = \sqrt{1000 }}[/tex] in [tex]\mathbf{x = \frac{1000}{y}}[/tex]
[tex]\mathbf{x = \frac{1000}{\sqrt{1000}}}[/tex]
[tex]\mathbf{x = \sqrt{1000}}[/tex]
[tex]\mathbf{x = 10\sqrt{10 }}[/tex]
Hence, the dimensions that minimize the perimeter are [tex]\mathbf{10\sqrt{10 },10\sqrt{10 }}[/tex]
Read more about perimeters at:
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I need help for these 5 questions
Answers
Answer:
1. 6²=36
2. 289[tex]\frac{1}{2}[/tex] = 17
3. [tex]14^{-2}[/tex] = [tex]\frac{1}{196}[/tex]
4. 10³=1000
5. [tex]5^{4}[/tex]=625
Step-by-step explanation:
Answer:
1. 6² = 36
2. 289^1/2 = 17
3. 14^-2 = 1/196
4. 10³ = 1000
5. 5⁴ = 625
Step-by-step explanation:
I just used the rule that logₓy = n means that xⁿ = y and a logarithm without a base, has a base of 10 (called a "common logarithm").
Write an equation in point-slope form of the line that passes through the point (4,−9) and has a slope of 6.
The equation is y−
Answers
Answer:
Step-by-step explanation:
Okay, so the point-slope form is
(y - y1) = m(x - x1)
Where m = the slope of the line
and where (x1, y1) is a point on the line
So, if the slope is 6, then m = 6
Now, you plug that and the point (4, -9) into the equation above.
(y -(-9)) = 6(x - 4)
y + 9 = 6(x - 4)
This is the point slope form of the line
1. This yield sign has equal sides and a perimeter of 136 cm. How long is each side?
Answers
Answer:
45 1/3 cm
Step-by-step explanation:
A yield sign is a triangle so it has 3 sides.
If the perimeter is 136 cm meaning 3x = 136 because all the sides are equal so you can multiple the length of each side by 3 to find the perimeter
3x = 136
x = 136/3
x = 45 1/3
each side is about 45 1/3 cm
What is the probability that a point chosen at random in the rectangle is also in the blue triangle?
A triangle inside of a rectangle. The triangle is shaded and has a base of 5 inches and height of 4 inches. The rectangle is not shaded and has a height of 4 inches and length of 5 inches.
One-half
Four-fifths
1
2Simplify:
Answers
Answer:
1/2
Step-by-step explanation:
I did the quiz on Edge 2021 and got it right with 100%.
Please give me brainliest!
5x + 5 = x + 25 what is x?
Answers
Answer:
x = 5
Step-by-step explanation:
5x + 5 = x + 25
subtract 5 from both sides
5x = x + 20
subtract x from both sides
4x = 20
divide both sides by 4
x= 20/4
x= 5
thanks in advance big boys
Answers
Answer:
The answer is sides are congruent by the reflexive property
Step-by-step explanation:
The answer is sides are congruent by the reflexive property because the two red lines on the triangles represnt that they are congruent. The reason teh fourth one can be a correct answer, but it is not, is because the angles are not vertical. The angles would hav eto be in teh middle of the triangle and congruent, to be right. So it is a reflexive property.
Sorry for any gramatical or spelling mistakes!
Rachel and Amanda are planting tulip bulbs. Rachel has planted 45 bulbs and is planting at a rate of 33 bulbs per hour, Amanda is planting at a rate of 36 bulbs per hour and has planted 36 bulbs. How long will it take Rachel and Amanda to plant the same number of bulbs? How many bulbs will that be?
Answers
Answer:
3 hours
144 bulbs
Step-by-step explanation:
33t + 45 = 36t + 36
Subtract 33t from both sides
45 = 3t + 36
subtract 36 fromboth sides
9 = 3t
divideboth sides by 3
3 = t
3 hours
How many bulbs will that be?
33(3) + 45
99 + 45
144
685,327 round to the nearest thousand
Answers
Answer:
685,000
Step-by-step explanation:
Answer:
685327.000
Step-by-step explanation:
What property is illustrated by the statement? 5(- 7 10 )=(- 7 10 )5 A) Commutative Property of Multiplication B) Commutative Property of Addition C) Associative Property of Multiplication D) Associative Property of Addition
Answers
Answer:
commutative property of multiplication
Step-by-step explanation:
Name the property used: commutative property of multiplication
Answer: commutative property of multiplication
hello I need help please help me
Answers
Answer:
1) equation
2) equation
3) expression
4) expression
Step-by-step explanation:
An equation has a result, or something that equals to .
Numbers 1 and 2 have the word "is" which means equaled to, so they are equations. 3 and 4 don't, so they are only expressions.
Hope that helped :)
Step-by-step explanation:
Examples:
[tex]a+4;\ 3b;\ \dfrac{x}{4}-\text{these are the expressions}\\\\x=5;\ c+5=3c;\ p=q-\text{these are the equations}[/tex]
[tex]1.\ n+4=12-\bold{the\ equation}\\\\2.\ 5\cdot n=50-\bold{the\ equation}\\\\3.\ C\cdot 7-\bold{the\ expression}\\\\4.\ 6\cdot(12+t)-\bold{the\ expression}[/tex]
CALCULATE THE AVERAGE RATE OF CHANGE OF THIS POLYNOMIAL ON THE
INTERVAL (-1.1)
Answers
Answer:
-1
Step-by-step explanation:
The average rate of change of function f(x) on the interval [a, b] is ...
m = (f(b) -f(a))/(b -a)
We have ...
f(-1) = (-1)^5 -2(-1) +3 = -1 +2 +3 = 4
f(1) = (1)^5 -2(1) +3 = 1 -2 +3 = 2
Then the average rate of change is ...
m = (2 -4)/(1 -(-1)) = -2/2 = -1
The average rate of change on the given interval is -1.
Brainiest fastest answer no link or bot or I report you I report you if you report me
Answers
I did this really quick so I hope all the answers are right, and double check them if you have time just in case
when randy started his job he earned $8.00 per hour now he makes $450 for working a 40-hour week how much more does he earn per hour than he did when he started
Answers
Answer:
3.25?
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
He now earns:
450/40 = 11.25 dollars per hour.
So he gets 11.25 - 8
= 3.25 dollars more.
all graphs range from -10 through 10 ;)
Answers
Answer:B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
First, we want to find out what is X.3x = -6 ---> x = -2
X is -2 so we want the graph point to start at -2 and from there go down to -10.Name the postulate or theorem that you can use to show the triangles are congruent. Then explain why the statement is true.
I’ll choose brainliest
Answers
4. EA ≅ MA
In ΔTAE and ΔTAM,
TE = TM (Given)
∠ETA = ∠MTA (Given)
TA = TA (Common)
∴ ΔTAE ≅ ΔTAM
∴ EA = MA (CPCT)
5. In ΔJUN and ΔJEN,
JU = JE (Given)
NE = NU (Given)
JN = JN (Common)
∴ ΔJUN ≅ ΔJEN (By SSS Criteria)
∴ ∠U = ∠E (CPCT)
Hope it helps you....
Please mark as brainlliest
A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 30 books and each large box can hold 45 books. There were twice as many large boxes sent as small boxes, which altogether can hold 360 books. Graphically solve a system of equations in order to determine the number of small boxes sent, x, and the number of large boxes sent, y.
Answers
Answer:
altogether can hold 360 books. Graphically solve a system of equations in order to determine the number of small boxes sent, x, and the number of large boxes sent, y.
Step-by-step explanation:
Answer:
Let be x the number of small boxes sent and y the number of large boxes sent.
Since each small box can hold 30 books (30x), each large box can hold 45 books (45y)and altogether can hold a total of 360 books, we can write the following equation to represent this:
30x+45y=360
According to the information provided in the exercise, there were 4 times as many large boxes sent as small boxes. This can be represented with this equation:
y=8-2x/3
Brainliest plz
If an amount of $25,000 is deposited into a saving account at an interest rate 4%, compounded semi-annually, how long will it take to accumulate on this account $28,500? The function describing your balance is M(n) =25,000(1+0.04/2)^2n, where n is time in years. Round up your answer to the next period.
Answers
It will take 3 years and 4 months to accumulate $ 28,500.
To determine, if an amount of $ 25,000 is deposited into a saving account at an interest rate 4%, compounded semi-annually, how long will it take to accumulate on this account $ 28,500, the following calculation must be performed:
25,000 x (1 + 0.04 / 2) ^ (2X) = 28500 25000 x 1.02 ^ 2X = 28500 1.02 ^ 2X = 28500/25000 1.02 ^ 2X = 1.14 1.02 ^ 6.62 = 1.14 6.62 / 2 = X 3.33 = X
Therefore, it will take 3 years and 4 months to accumulate $ 28,500.
Learn more in https://brainly.com/question/23251895
Which value is the solution to the following equation? 26 = 2x - 4
Answers
Answer:
15
Step-by-step explanation:
26 = 2x - 4
2x = 26 + 4
2x = 30
x = 30 / 2
x = 15
please help!
15 - (-20)
Answers
Jace is deciding between two landscaping companies for his place of business. Company A charges $50 per hour and a $250 equipment fee. Company B charges $75 per hour and a $150 equipment fee. Let A represent the amount Company A would charge for tt hours of landscaping, and let B represent the amount Company B would charge for tt hours of landscaping. Graph each function and determine the number of hours, t, that would make the cost of each company the same.
give me the corrdent plan point i need 2 for example
(5,2) and (4,1) like that on the graph
Answer: ________
dollars per hour
dollars
hours per dollar
hours
my graph is the y axis is 1000 and the x axis is 20
Answers
Hi there!
We can begin by writing an equation for each company.
Let x = number of hours
Company A:
y = 250 + 50x (hourly rate is $50)
Company B:
y = 150 + 75x (hourly rate is $75)
We can set the two equations equal to each other to find their intersection point:
250 + 50x = 150 + 75x
Solve for x:
250 - 150 = 75x - 50x
100 = 25x
x = 4
Solve for y by plugging x into an equation:
y = 150 + 75(4) = 150 + 300 = 450
Thus, the lines intersect at (4, 450)
4 hours ⇒ $450 dollars
The triangle is to be reduced by a ratio of 1:2.
a
Answers
Answer:
where is the triangle?
Step-by-step explanation:
Find the equation of the line with slope 43 and y-intercept (0,−1)
Answers
Answer:
y = 43x -1
Step-by-step explanation:
Using slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 43x -1
Kevin Went for a drive in his new car. He drove at a speed of 56 miles per hour for 358.4 miles. for how many hours did he drive?
Answers
Answer:
Kevin Drove For 6 Hours and 40 Minutes
Step-by-step explanation:
56 times 6.4 Equals 358.4
Convert it into miles 56MI X 6.4(HR) = 358.4MI
Joleen and Pablo want to fertilize a rectangular garden
with an area of A square feet. They know that 5 cups of
fertilizer will cover an area of 240 square feet. They each
write an equation to represent the relationship between
the area, A, and the number of cups of fertilizer, c.
Joleen's equation: A = 480
Pablo's equation: c = 45
:
-А
Which of the equations is correct? Explain how you know.
Answers
Answer: A
Step-by-step explanation:
Because 489 + 45
here's my question.
Answers
30 Chocolates
Step-by-step explanation:The box was new and therefore full, so it had 5/5 of chocolates left.
When Bob ate 18, 2/5 were left, so he must have eaten 5/5 - 2/5 or 3/5 of the chocolates:
5/5 - 2/5 = 3/5
You know that 3/5 of the chocolates are 18, as he ate 18 chocolates. Divide 18 by 3 to get 6:
18 / 3 = 6
This is 1/5 of the chocolates. Multiply this by 5 to get 30:
6 * 5 = 30
This is 5/5 of the chocolates and therefore the total is 30 chocolates.
Of 90 gallons of water the average person uses each day, 30% is used outdoors. Mason wants to know how much water is used outdoors. How much water is used outdoors.
Answers
Answer:
The Awnser is 27 for both I did that I-ready before
Step-by-step explanation:
Answer:
27 for both blanks
Step-by-step explanation:
I just did it on iready and I got it correct
Calculate the average of these values: 38, 48, 58, 68?
Answers
Answer:
53 is the average value.
Step-by-step explanation:
To find the average, or mean of multiple values you first add them all up:
38+48+58+68=212
Then you count how many different numbers there are, (there are 4 numbers here, if there are 2 of the same numbers you still count them both, just so you understand).
Then you need to divide the total you got, 212, by the total amount of numbers, 4, to get the average amount, 53.
I hope that my answer has helped you, have a great day, ask any questions you have below.