Answer:
x=0
Step-by-step explanation:
24+2x=3x+2*12
24+2x=3x+24
-24 -24
2x=3x
2x-3x=0
-x=0
x=0
find the sums
-35+(30+5)=
-0.15+(-0.85)+12.5=
1/2+(-3/4)=
if your answer is a fraction right in the form 1/2 to show 1/2
Answer:
0
257/20
-1/4
Step-by-step explanation:
these are the answers
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 :)
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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I am sooooo confuse please help
Answer:
It is the first graph to the left
Step-by-step explanation:
because basically it is saying that it is -1/-2 rise over run
5/6 = ?/12
Subtract fractions with unlike denominators 5th grade
Answer:
uoyhhgvooihyjug
Step-by-step explanation:
uyfiuyf
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]
Three bananas cost $0.99. At this rate, how much do 5 bananas cost?
Answer:
$4.95
Step-by-step explanation:
Answer:
$1.65
Step-by-step explanation:
if you divide $0.99 bye 3 you get 33 that means 1 banana cost $0.33 and you have to multiply $0.33 by 5 your answer will be $1.65
Find the area of the figure.
10 in.
10 in.
4 in.
6 in.
The area is
square inches
Answer:
can u clarify bc area is 2 but 4 things is perimiter
Step-by-step explanation:
9. The diameter of a can of soup is 8 inches and a height of 9 inches. What is the approximate volume of the can? Round your answer to the nearest hundredths place.
Answer:
V= 201.1
Step-by-step explanation:
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:
a square has an area equal to 4s^2-1 square units. when this expression is factored, which is one of its factors
Answer:
B
Step-by-step explanation:
ASAP! What numbers makes this equation true?
Answer:
C. 5
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
Which equation represents a line which is parallel to the line y=1/3x+6
Answer:
Any equation that has the same slope (1/3), and a Y-intercept other than 6
Step-by-step explanation:
If the base ten blocks shown are to be divided into 13 equal groups. What should be done
Answer:
is this the right question please??
Start by counting the total number of base ten blocks you have is the first step if the base ten blocks shown are to be divided into 13 equal groups.
To divide the given base ten blocks into 13 equal groups, you should follow these steps:
Start by counting the total number of base ten blocks you have.
Divide the total number of blocks by 13 to determine the number of blocks in each group.
If the number of blocks is not evenly divisible by 13, you may have some remainder blocks.
To learn more on Division click:
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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°.
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 :)
While playing Monopoly, Robin estimated the probabilities of the non-zero rents according to the following probability distribution:
x $2 $14 $20 $100
P(x) 0.40 0.20 0.20 0.20
Consider the random variable x = dollar amount in rent in a Monopoly roll.
a. If the table above specifies the probability distribution f(x), what is the mean of the random variable x?
b. If the probabilities are associated with the outcomes as in the table above, what is the standard deviation of the random variable x?
Answer:
Step-by-step explanation:
Given the data table :
x : __ $2_ $14_ _$20 __ $100
P(x) : 0.40_ 0.20 _0.20 _0.20
The mean :
E(x) = Σ(x*p(x))
E(x) = (2*0.4) + (14*0.2) + (20*0.2) + (100*0.2)
E(x) = 27.6
The standard deviation :
SD(x) = sqrt(Σ(x² * p(x)) - E(x)²)
Σ(x² * p(x)) - E(x)² :
((2^2*0.4) + (14^2*0.2) + (20^2*0.2) + (100^2*0.2)) - 27.6^2
2120.8 - 761.76
= 1359.04
Sqrt(1359.04)
SD(x) = 36.865159
SD(x) = 36.87
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
PLEASE HELP
I just need help with this one question, im having trouble with it. Find an equation of the line that is perpendicular to the line shown below and passes through the point (-4,5). Show your work.
Answer:
[tex]y=\frac{-1}{2}x +3[/tex]
Step-by-step explanation:
Take any two points from the graph
(2 , 0) ; (0 , -4)
Slope = [tex]\frac{-4-0}{0-2}\\\\[/tex]
[tex]= \frac{-4}{-2}\\\\= 2[/tex]
Slope of the perpendicular line = -1/m = -1/2 = -1/2
m = -1/2 ; (-4 , 5)
y - y1 = m(x - x1)
[tex]y - 5 = \frac{-1}{2}(x -[-4] )\\\\y - 5= \frac{-1}{2}(x + 4)\\\\y - 5 = \frac{-1}{2}x +\frac{-1}{2}*4\\\\y-5 = \frac{-1}{2}x -2\\\\y = \frac{-1}{2}x-2+5\\\\y=\frac{-1}{2}x + 3[/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
Evaluate the expression 9-3÷1/3+1
A. 9
B. 3
C. 1
D. 19
The phone company Splint has a monthly plan where a customer pays a flat monthly fee, and then a set rate per minute. If a customer uses 130 minutes, the monthly cost will be $57. If the customer uses 520 minutes, the monthly cost will be $135.
Find the equation of the plan in the form y=mx+b, where x is the number of monthly minutes used and y is the total monthly cost of the Splint plan.
y= _______________
If a customer uses 855 minutes, the total cost will be ____________ dollars.
Answer:
y = 0.2x + 31
855 minutes would cost $202.
Step-by-step explanation:
Let,
a be the cost per minute and f be the flat fee charged.
Now,
130a + f = 57 Eqn 1
520a + f = 135 Eqn 2
Subtracting Eqn 1 from Eqn 2
520a + f - 130a - f = 135 - 57
390a = 78
Dividing both sides by 390
a = $0.2
Putting in Eqn 1
130 (0.2) + f = 57
26 + f = 57
f = 57 - 26
f = 31
Hence the company charges a flat fee of $31 and $0.2 per minute.
Equation in slope intercept form.
y = 0.2x + 31
Now putting x = 855
y = 0.2(855) + 31
y = 171 + 31
y = $202
Therefore,
y = 0.2x + 31
855 minutes would cost $202.
Find the value of x and the length of each side—- geometry
Answer:
I think x = 7
but I'm not sure
.. :-))
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
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
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:
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 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.
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