Science Center: 114 + (3 * x)
Dino Museum: 6 * x
114+(3*x) = 6*x
114+(3*39) = 6*39
114+117 = 234
231 = 234
There needs to be at least 39 students for the science center to cost less than the dino discovery museum. Hope this helps! Please mark brainliest:)
200m - 100m + 48,250 = 50,250 – 150m
200m - 100m + 48,250 = 50,250 - 150m
(Add or subtract common variables)
100m + 48,250 = 50,250 - 150m
(Add 150m to both sides)
250m + 48,250 = 50,250
(Subtract 48,250 to both sides)
250m = 2000
(Divide 250 to both sides to isolate m)
m = 8
Please help this is my last question
Answer:
14(3x-1) / 5x^2 (3x+ 1)
Step-by-step explanation:
Please let me know if I gloss over something you don't understand
1) First simplify the complex fraction:
This can be written as
18x-6/ 15x + 5 * 21x^2 / 9x^5
which can be simplified to
18x-6/ 15x + 5 * 7/ 3x^3
which can be written as
(18x-6) * 7 / 3x^3 (15x+ 5)
2)
factor 3 from the top of the expression
3(6x-2) * 7 / 3x^3 (15x + 5)
3)
reduce the fraction with 3
3(6x-2) * 7 / 3x^3 (15x + 5)
(6x-2) * 7 / x^3 (15x + 5)
4)
Distribute 7 through the parenthesis on the top
42x-14/ x^ 3 (15x+ 5)
5)
Distribute x^3 through the parenthesis on the bottom
42x-14/ 15x^4 + 5x^3
6)
factor 14 from the top of the expression
14 (3x -1)/ 15x^4 + 5x^3
7)
factor 5x^3 from the bottom
14 (3x -1)/ 5x^3 (3x + 1)
What are the solutions to this quadratic equation?
x2+13=8x+37
Answer:
x = 4 + 2 sqrt(10) or x = 4 - 2 sqrt(10)
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 13 = 8 x + 37
Subtract 8 x + 37 from both sides:
x^2 - 8 x - 24 = 0
Add 24 to both sides:
x^2 - 8 x = 24
Add 16 to both sides:
x^2 - 8 x + 16 = 40
Write the left hand side as a square:
(x - 4)^2 = 40
Take the square root of both sides:
x - 4 = 2 sqrt(10) or x - 4 = -2 sqrt(10)
Add 4 to both sides:
x = 4 + 2 sqrt(10) or x - 4 = -2 sqrt(10)
Add 4 to both sides:
Answer: x = 4 + 2 sqrt(10) or x = 4 - 2 sqrt(10)
Assume that we have two events, and , that are mutually exclusive. Assume further that we know and . If an amount is zero, enter "". a. What is ? b. What is ? c. A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this problem to justify your answer. - Select your answer - , because - Select your answer - . d. What general conclusion would you make about mutually exclusive and independent events given the results of this problem? - Select your answer -
Answer:
Explained below.
Step-by-step explanation:
The complete question is:
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.
What is P(A and B)?
What is P(A | B)?
Is P(A | B) equal to P(A)?
Are events A and B dependent or independent?
A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?
What general conclusion would you make about mutually exclusive and independent events given the results of this problem?
Solution:
The probability of the two events A and B are:
P(A) = 0.30 and P(B) =0.40
(a)
Compute the value of P (A ∩ B) as follows:
[tex]P(A\cap B)=0[/tex]
This is because mutually exclusive events are those events that cannot occur together.
(b)
Compute the value of P (A | B) as follows:
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{0.40}=0[/tex]
Thus, the value of P (A | B) is 0.
(c)
No, P (A | B) is not equal to the P (A).
(d)
As mentioned in part (a), mutually exclusive events are those events which cannot occur together.
That is, [tex]P(A\cap B)=0[/tex].
Events A and B are independent if the chance of their concurrent happening is equivalent to the multiplication of their distinct probabilities.
That is, [tex]P(A\cap B)=P(A)\times P(B)[/tex].
The concepts of mutually exclusive events and independent events are not the same.
(e)
As the it is provided that A and B are mutually exclusive events, we know that [tex]P(A\cap B)=0[/tex].
Now compute the value of [tex]P(A)\times P(B)[/tex] as follows:
[tex]P(A)\times P(B)=0.30\times 0.40=0.12\neq 0[/tex]
Thus, the events A and B are not independent.
Thus, if two events are mutually exclusive events they cannot be independent.
HELPPPPPP There are B giris and 5 boys on the math team Which ratio corroctly describos the rolotionship botvwoen boys ond gus on the math tearm? OThere are 5 boys for every 5 giris OThere are 5 boys for every 13 girfs O For every 5 boys there are B girls O For every B boys there are 5 giris
Answer:
for every 5 boys there are b girls
Step-by-step explanation:
that's how u read ratios, for every x there are y amount of something else. portions is how we'll describe it!!
Answer: C
Step-by-step explanation:
For every five (5) boys, there are eight (8) girls.
ℎ :)
What is the theoretical probability that you will roll a sum of 6?
Mr. Witherspoon's fifth grade class was on the
playground. Billy was told to stand still.
Mr. Witherspoon had Rosey stand 10 feet from
Billy. The rest of the class was also told to stand
10 feet from Billy. What shape did the positions of
the class form in relation to Billy?
The location of the circumference of a circle is the set of points that are equidistant from a given point
The shape formed by the rest of the class in relation to Billy is the shape of a circleReason:
Given information;
The distance of Rosey from Billy = 10 feet
The distance of the rest of the class from Bill = 10 feet
Required:
The shape the positions of the class formed in relation to Billy
Solution;
The distance from Billy to each pupil in the class is equal, (10 feet), therefore, Billy is at a central position to the rest of the class
Therefore, the shape that the rest of the class form in relation to Billy is a figure that has Billy as the center or centroid
If the number of pupils in the class is sufficiently, large, the shape formed will be a circle, given that a circle is formed by the set of points that have equal distance from a particular points
Therefore, the shape formed by the rest of the class in relation to Billy is the shape of a circle
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what value is equivalent 8 x 9-2 x 5? HELP!!!!!!!!!!!
Answer:
62
Step-by-step explanation:
i hope it help
Answer:
350
Step-by-step explanation:
8*9-2*5=
72-2*5=
70*5=
350
Which of polygons B, C, D, E, andF are similar to polygon A? Select All of
The answer is E bro bro
Which diagram has all the correct lines of reflectional symmetry for the rectangle?
A rectangle is folded diagonally on both corners.
A rectangle is folded by a vertical and horizontal line going through its center.
A rectangle is folded 4 ways. It is folded horizontally, vertically, and diagonally on both corners.
A rectangle is folded 4 ways. It is folded diagonally at each midpoint of every side.
Answer:
answer is b. a rectangle is folded by a vertical and horizontal line going through its center
Step-by-step explanation:
if you folded it along the lines of symmetry, the rectangle would line up with itself
A rectangle is folded by a vertical and horizontal line going through its center, has all the correct lines of reflectional symmetry for the rectangle.
What is reflectional symmetry?A well-balanced proportion in which two images or figures are the same size and shape is referred to as symmetry.
When the same figure is obtained following a transformation in geometry whether it be a reflection or a rotation symmetry has occurred.
An example of a shape with reflection symmetry is a rectangle. A line of reflection that passes through the center of two different sides will always be symmetrical.
There are two symmetry lines in a rectangle.
Each side of the rectangle would match up exactly if the rectangle were folded along each line of symmetry.
Keep in mind that a shape must possess at least one line of symmetry in order to qualify as having reflection symmetry.
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please help me!!! I am just a meme poster... :c
Write down all the whole numbers between 1035 and 1041
Answer:
1035
1036
1037
1038
1039
1040
1041
Step-by-step explanation:
pls heart and brainliest
Answer:1036, 1037, 1038, 1039, 1040.
Step-by-step explanation:
Estimate the product 4x279
Answer:
116
Step-by-step explanation:
es 116 porque lo cheque
a pair of socks cost $18.50 the markup is 5% the taxes
Answer:
I'm pretty sure the answer is 19.425
You have to round up or down because it is money.
The answer is $19.43
Step-by-step explanation:
I really hope this is correct.
Answer:
$19.43
Step-by-step explanation:
At first you get 19.425
But money only has 2 decimal places and the 5 tells to to round the 2 up to 3
You are building a cube shaped box for your turtle to live in. You want to build your box with side lengths of 24 inches. However, when you finish the box, you find out that it has a volume of 27,000 cubic inches. How many more cubic inches is your box than you had planned? How much bigger are your side lengths than you had originally planned?
Answer: The box is 13,176 cubic inches larger than originally planned.
The side lengths turned out to be 6 inches longer than the 24 inches originally planned.
Step-by-step explanation:
To find the intended volume, "cube" 24 (24×24×24)
[tex]24^{3}= 13824[/tex]
To find the difference, subtract 13,824 from 27,000
27000 - 13824 = 13176
To find the actual side lengths of the box that was built take the cube root of 27000.
[tex]\sqrt[3]{27000}=30[/tex]
To find out how much longer, subtract 24 from 30.
30 - 24 = 6
The length of the top of a table is 4 m greater than the width. The area is 60m^2. Find the dimensions of the table
Answer:
Width = 6 m
Length = 10 m
Step-by-step explanation:
Let the width of the table be x meters.
Therefore, length of the table = (x + 4) meters.
[tex]length \times width = Area \\ \\ x(x + 4) = 60 \\ \\ {x}^{2} + 4x - 60 = 0 \\ \\ {x}^{2} + 10x - 6x - 60 = 0 \\ \\ x(x + 10) - 6(x + 10) = 0 \\ \\ (x + 10)(x - 6) = 0 \\ \\ x + 10 = 0 \: \: or \: \: x - 6 = 0 \\ \\ x = - 10 \: \: or \: \: x = 6 \\ \\ \because \: dimensions \: can \: not \: be \: negative \\ \therefore \: x \notin \: 10 \\ \implies \: x = 6 \\ x + 4 = 6 + 4 = 10 \\ width \: of \: table = 6 \: m \\ length \: of \: table = 10 \: m[/tex]
The weight of one serving of goldfish is 0.5 ounces. How many servings are there in 7.5 ounces of goldfish? Write your answer as a decimal.
4. The value of y is directly proportional to the value of x. If y = 45 when x = 180, what is the value of y when x = 80?
Answer:
y=8⇒8=24x
x=24/8=3
Step-by-step explanation:
The value of y when x = 80 is 20.
It is required to find the value of y.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Solution:
"Y is directly proportional to X" can be rewritten as a mathematical expression of the form Y = KX
"K" is the constant of proportionality and must be determined from the initial information.
According to given question we have,
If Y = 45 when X=180
It means
45 = 180K
K = 45/180
K = 0.25
Now that we know the value of K, we can use it to calculate the value of Y when X=80
Y = (0.25)(80)
Y=20
Therefore, the value of y when x = 80 is 20.
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Please help me i need help!! How do you solve for M? Explain each step of the solution in a short paragraph
Answer:
M = 4pi²a³ / GT²
Step-by-step explanation:
Cross multiply: T² × GM = GMT²
1 × 4pi²a³ = 4pi²a³
It becomes: GMT² = 4pi²a³
Divide both sides by GT² to solve for M
We have : M = 4pi²a³ / GT²
I need help with number 12 please. Thank you.
Step-by-step explanation:
What is 4/5 x 2/5? I need help
Answer:
8/25
Step-by-step explanation:
What is the measure of the angle formed by the minute hand and hour hand of a clock in each case?
a)at 6 o’clock
b) at 4 o’clock
c) at 3o’clock
Answer:
a) 180 degrees
b) 120 degrees
c) 90 degrees
The sides of a triangle have measures of 2x, 8, 12. If the measure of the longest side is 2x. What value of x makes the triangle a right triangle?
please answer !!!!...
Answer:
8+12= 2x
multiply all of them by power of 2
Step-by-step explanation:
so,
64+144 = 4x
208=4x
x = 52 what is the root of 52 the answer is
x = 7.188 or 3/16
what is the sum of 3/4 and 4/5
Answer:
31/20
Step-by-step explanation:
just cross multiply and add
(3x5 + 4x4) / 4x5
Answer: 31/20 or 1.55
convert
32 ½ meters to feet
Answer: 32 1/2 meters = 106.63 ft
Step-by-step explanation: 1 meter is 3 ft and 3.37 inches, or 39.37 inches :)
A scanner scanned 56 photos in 7 minutes. If it scans photos at a constant rate, it can scan
photos in 27 minutes.
Answer:
56 photos-7 minutes
X photos-27 minutes
X=1 512 :7= A scanner will scan 216 photos
Step-by-step explanation:
Amir wants to buy a new MP3 player that costs $76.50. If he saves $8.50 each week, how many weeks will it take Amir to save enough money to buy the MP3 player? *
Answer:it would be ten weeks I think
Step-by-step explanation:
Each week he earns 8.50 so just take 8.50 times numbers until you get the closest answer to 76.50 and that’s ten
8.50 *10 = 85
Answer:
Answer:it would be ten weeks I think
Step-by-step explanation:
Each week he earns 8.50 so just take 8.50 times numbers until you get the closest answer to 76.50 and that’s ten
8.50 *10 = 85
Since every square has 4 sides that are equal in the length, write an expression to determine the perimeter of a square in terms of the length of the squares sides?
9514 1404 393
Answer:
4s
Step-by-step explanation:
Let s represent the length of each of the four sides of the square. The perimeter is the sum of the lengths of the sides, so is ...
s + s + s + s
We use multiplication to signify repeated addition. So, this can be written more simply as ...
4s . . . . perimeter of a square of side length s
12)
0
1
1
В
у
3.5 4.5 5.5 6.5 7.5
equation:
In which step was the subtraction property of equality applied?
A. Step 2
B. step 3
C.step 4
D. The subtraction property.of equality wasnot applied to solve this equatlon.
Answer
B.
Step 1: Calculate the price of 3 biscuits.
Step 2: Calculate the price of 3 sausages.
Step 3: Add the total amounts from Steps 1 and 2 to the amount of the tip.
Step 4: Subtract that total amount from $25.
Step-by-step explanation:
The total amount paid will be the price for 3 biscuits, 3 sausages, and the tip. The change will be the difference between this sum and $25. Choice B is an example of one way this calculation can be done.