Answer:
x = 17
Step-by-step explanation:
[tex]\\8x - 27 = 3x+58\\5x=85\\x=17[/tex]
Brayden is going to an amusement park. The price of admission into the park is $35,
and once he is inside the park, he will have to pay $2 for every ride he rides on. How
much money would Brayden have to pay in total if he goes on 15 rides? How much
would he have to pay if he goes on r rides?
Answer: $65; $35+r•2
Step-by-step explanation:
So if every ride Brayden goes on costs $2 and he rides 15 rides, 2•15= $30 from rides alone. Then you add the $35 from admission to that number to get $65. This works for any amount of rides, just change the number to how many rides he goes on and use the same formula, 35+r•2 where r equals the number of rides ridden.
A coin is weighted so that the probability of heads is 0.64. On average, how many coin flips will it take for the tails to first appear
Answer:
1.563
Step-by-step explanation:
Given :
Probability of head, p = 0.64
Number of flips it would take for tail to appear first :
Treatting the question as a geometric function :
Using the relation :
1 / p
Expected number of flips until first tail :
1 / P = 1/ 0.64 = 1.5625
E(x) = expected number of flips until first tail = 1.563
Find the surface area of this triangular prism 18cm 30cm 24 cm 7cm
Answer:
936
Step-by-step explanation:
18*24=432
24*7=168
30*7=210
18*7=126
432+168+210+126
=936
Which equation demonstrates the distributive property?
A)
14 + 77 = 91
B)
14 x 77 = 77 x 14
C)
14 + 77 = 7(2 + 11)
D)
(2 + 11)7 = 7(2 + 11)
Answer:
its C) 14 + 77 = 7(2 + 11)
Step-by-step explanation:
because d is associative property, a is addition, B is commutative property and ONLY c showed distributive property
hope it helps :)
You are skiing down a mountain with a vertical height of 650 feet. The distance from the top of the mountain to the base is 1300 feet. What is the angle of elevation from the base to the top of the mountain
Answer:
The angle of elevation from the base to the top of the mountain is 30°.
Step-by-step explanation:
Given: Vertical height of mountain is 650 feet and the distance from the top of the mountain to the base is 1300 feet.
To find: The angle of elevation from the base to the top of the mountain.
Let AB be the height of mountain and BC be the base.
Then, according to question, AB=650 feet and AC=1300 feet.
Let ∠ACB=[tex]\Theta[/tex].
Then, in ΔABC,
[tex]sin\Theta=\frac{AB}{AC}[/tex]
⇒[tex]sin\Theta=\frac{650}{1300}[/tex]
⇒[tex]sin\Theta=\frac{1}{2}[/tex]
⇒[tex]\Theta=30[/tex]°
Hence, the angle of elevation from the base to the top of the mountain is 30°.
if we need to decrease the standard deviation of the sampling distribution by half what do we need to do to the sample size
Answer:
The answer is below
Step-by-step explanation:
For a normal distributed population with a mean (μ), and a standard deviation (σ), if a sample size of n is selected from the population, the mean of the sample ([tex]\mu_x[/tex]) = μ and the standard deviation of the sample ([tex]\sigma_x[/tex]) = [tex]\frac{\sigma }{\sqrt{n} }[/tex]
Let the normal distribution population have a standard deviation of σ. If the standard deviation is to be decreased by half, the sample size (n) needed is:
[tex]Using:\\\\\sigma_x=\frac{\sigma}{\sqrt{n} } \\\\but\ \sigma_x=\frac{\sigma}{2}\\\\Hence:\\\\ \frac{\sigma}{2}=\frac{\sigma}{\sqrt{n} }\\\\Divide\ through\ by \ \sigma\ to\ get:\\\\ \frac{1}{2}=\frac{1}{\sqrt{n} }\\\\\sqrt{n}=2\\\\square\ both\ sides:\\\\(\sqrt{n} )^2=2^2\\\\n=4\\\\[/tex]
To decrease the standard deviation of the sampling distribution by half we need a sample size of 4
If 4/3 liters of water are enough to water 2/5 of the plants in the house, how much water is necessary to water all the plants in the house? Write a division equation that could be used to solve this problem help six grade work
Can someone help me with this please
What is the right answer for it?
help pleeaseee? ty babez
Answer: I think it’s 1/10
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
3-2=1
10-5=5
hope this helps
I need the answer i have spent forever on this.
Answer:
A y=2x + 3
Step-by-step explanation:
Answer:
The answer is A. (y = 2x + 3)
Step-by-step explanation:
Since its talking about $3 plus $2 per dog it would make sense to pick
y = 2x + 3 because 2x represents the number of dogs and how it costs $2 per dog while the 3 represents how it also cost $3 plus the $2.
Mrs. Campos is making cupcakes for a bake sale. She uses the equation c = 0.55x to determine the cost, c, for x cupcakes. Which best represents the constant rate at which cupcakes are sold at the bake sale?
55 cupcakes per dollar
$0.55 per cupcake
$4 per cupcake
4 cupcakes per dollar
An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made with the smallest amount of material.
Answer:
The dimension of box=[tex]2ft\times 2ft\times 1ft[/tex]
Step-by-step explanation:
We are given that
Volume of box=4 cubic feet
Let x be the side of square base and h be the height of box
Volume of box=[tex]lbh=x^2h[/tex]
[tex]4=x^2h[/tex]
[tex]h=\frac{4}{x^2}[/tex]
Now, surface area of box,A=[tex]x^2+4xh[/tex]
[tex]A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}[/tex]
[tex]\frac{dA}{dx}=2x-\frac{16}{x^2}[/tex]
[tex]\frac{dA}{dx}=0[/tex]
[tex]2x-\frac{16}{x^2}=0[/tex]
[tex]2x=\frac{16}{x^2}[/tex]
[tex]x^3=8[/tex]
[tex]x=2[/tex]
[tex]\frac{d^2A}{dx^2}=2+\frac{32}{x^3}[/tex]
Substitute x=2
[tex]\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0[/tex]
Hence, the area of box is minimum at x=2
Therefore, side of square base,x=2 ft
Height of box,h=[tex]\frac{4}{2^2}=1 ft[/tex]
Hence, the dimension of box=[tex]2ft\times 2ft\times 1ft[/tex]
Solve this equation 5x-3+x=21
Answer:
x = 4
Step-by-step explanation:
5x - 3 + x = 21
6x - 3 = 21
6x = 24
x = 4
3) Find the smallest number by which 2068 must be multiplied to make perfect square.
equal solve
The smallest number by which 2068 must be multiplied to make perfect square is 1080
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
We have to find the smallest number by which 2068 must be multiplied to make perfect square.
Then, Let the number be 1080 .
So,
2068 x 1080 = 2,233,440
2,233,440 = perfect square
Learn more about perfect square;
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Simplify: 1 1/2*1 1/3*1 1/4*1 1/5*1 1/6*...*1 1/n
Step-by-step explanation:
(1 + 1/2)(1 + 1/3)(1+ 1/4)...(1 + 1/n)
= (3/2)(4/3)(5/4)...[(n+1)/n]
= 0.5(n+1).
Answer:
0.5(n+1)
Step-by-step explanation:
(1 + 1/2)(1 + 1/3)(1+ 1/4)...(1 + 1/n)
= (3/2)(4/3)(5/4)...[(n+1)/n]
= 0.5(n+1).
A dog walker charges a flat fee of $20 to all of his clients for coming to walk their
dogs. He then charges a fee of $12 per dog he has to walk. Write a linear equation to
model this scenario.
Answer:
12(x) + 20
Step-by-step explanation:
x represents the amont of dogs and the +20 is the flat fee.
Find the value of x and the length of each side—- geometry
Answer:
I think x = 7
but I'm not sure
.. :-))
A machine has 12 identical components which function independently. The probability that a component will fail is 0.2The machine will stop working if more than three components fail Find the probability that the machine will be working .
Answer:
A machine has 12 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will stop working. A) 0.073 B) 0.795 C) 0.867 D)0.205
How many boys are there in an introductory engineering course if 416 students are enrolled and there are seven boys to every nine girls?
Answer:
182 boys
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Tay used 52 fruits altogether,
Here are two equations, where x is the number of apples
and y is the number of strawberries:
y = 3x
52 = x+y
How many of each type of fruit did Tay use?
I need helpppppppp
Answer: x=13,y=39
Step-by-step explanation: y=3x,x+y=52
x+3x=52
4x=52
x=52/4
x=13
y=3(13)
y=39
A model of a rectangular stove top with four circular burners is shown. The side lengths of the stove top and the diameters of the burners are labeled.
Which measurement is the best estimate of the area in square inches of the stove top that does not include the area of the burners?
A) 108 in.2
B) 492 in.2
C) 420 in.2
D) 528 in.2
The required estimate of the area in square inches of the stove top that does not include the area of the burners is 415 square inches.
What is surface area?Surface area is defined as the measure of a region or surface is called as surface area.
The best estimate of the area of the stovetop that does not include the area of the burners can be obtained by subtracting the total area of the four burners from the total area of the stovetop.
The total area of the stove top is given by the product of its length and width:
Length = 24 inches
Width = 22 inches
Area = Length × Width = 24 × 22 = 528 square inches
The area of each burner is given by the formula for the area of a circle:
= π × (diameter/2)²,
where π is approximately equal to 3.14
Since the diameter of each burner is 6 inches, the radius of each burner is 6/2 = 3 inches.
Area of one burner = Pi × (3)² = 3.14 × 9 = 28.26 square inches
The total area of the four burners is 4 × 28.26 = 113 square
The area of the stove top = 528 - 113
= 415 square inches.
Thus, the required estimate of the area in square inches of the stove top that does not include the area of the burners is 415 square inches.
Learn more about the surface area here:
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If a car is traveling east when it passes the camera, will its position be positive or negative 60 seconds after it passes the camera? If we multiply two positive numbers, is the result positive or negative?
Step-by-step explanation:
I can only answer part 2 of your question, "If we multiply two positive numbers, is the result positive or negative?". if you multiply 2 positive numbers your answer would be positive.
If we multiply two positive numbers, then the result is also positive.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that If a car is traveling east when it passes the camera, then;
the position be positive 60 seconds after it passes the camera.
Therefore, If we multiply two positive numbers, then the result is also positive.
Learn more about multiplications;
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The sum of two numbers is ten. One number is two less than the other. Find the numbers.
the two numbers is 6 & 4
6 + 4 = 10
and 6-4 is 2
michiko bought pens for $3.85 and pencils for $1.25 how much did she spend all together?
Answer:
5.1 :)
Step-by-step explanation:
25/3 X 4/15 what’s the answer
Answer:
2 2/9
Step-by-step explanation:
Evaluate the expression 9-3÷1/3+1
A. 9
B. 3
C. 1
D. 19
Write a four digit whole number that is divisible by 2. Use a divisibility rule and explain how you know that your number
Is divisible by 2
Answer:
4894
Step-by-step explanation:
I know that it is divisible by 2, because it is an even number, and also the one's digit has 4, which is divisible by 2.
hope this helps :3
Answer:
2344
Step-by-step explanation:
I know that it is divisible by 2 because the digit in the ones place
2344
is an even number so that makes it divisible by 2.
I HOPE IT HELPS!
find the value of trigonometric ratio
Answer:
they all are the same but the 2nd one has more of a lumnicution so thats the answer
Step-by-step explanation:
The one-to-one functions g and h are defined as follows.
HELP PLEASE
Answer:
2, (x+13)/6, -7
Step-by-step explanation:
The -1 bit means do it backwards, so look the for the output of the function with the value given.
In g, when we put in 2 we get 9 out, so g^-1(9) is 2.
For the second one we need to rearrange it to get x = something.
h(x) + 13 = 6x
x = (h(x) + 13)/6
Then replace the h(x) with x and the x with h^-1(x) to get
h^-1(x) = (x + 13)/6
The last one is a trick. Note that h and h^-1 are opposites. If we do something then do the opposite of it, we haven't done anything at all! So the number stays the same.
These flowers were for kait
Answer:
Beautiful
Step-by-step explanation:
love them
.....