Answer:
-144 is your answer for x.
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.
Do the opposite of PEMDAS. PEMDAS is the order of operation, and stand for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 12 from both sides of the equation:
x/6 + 12 (-12) = -12 (-12)
x/6 = -12 - 12
x/6 = -24
Next, isolate the variable x, by multiplying 6 to both sides:
(x/6) * 6 = (-24) * 6
x = -24 * 6
x = -144
-144 is your answer for x.
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Shelby leaves her house at 9:00am on her bike at a speed of 320 meters per minute. At 10:30 am, her brother, Colby leaves the house on his bike and tries to catch up with Shelby. Colby rides at a speed of 500 meters per minute. At what time will Colby catch up with Shelby?
Answer:
Step-by-step explanation:
320t=500(t-1.5)
320t=500t-750
-180t=-750
t=25/6
t=4+1/6 hours
So Colby catches up 4 1/6 hours after Shelby left. Since she left at 9am
9+4hours + 10 minutes. So they have travelled the same distance at 1:10pm
a polygon has 10080° as the total interior angle how many sides has the polygon
The formula for the sum of the interior angles of a polygon is (n - 2) * 180. In this formula, N is the number of sides. So, to find the number of sides that a polygon with an interior angle measure of 10080 has, we'll set the formula equal to 10080.
10080 = (n - 2) * 180
Divide both sides by 180
56 = n - 2
Add 2 to both sides
n = 58
Hope this helps!! :)
Answer:
58 sides
Step-by-step explanation:
The sum of the interior angles of a polygon is 10,080°
n = the number of sides
(2n - 4)90 = 10080
2n - 4 = 10080/90 = 112
2n = 116
n = 58.
Which system has (3,0) as a solution?
- x + y =-1
3x – 2y = 5
3x + 2y = 9
x – 4y = 3
Option 1
Option 2
x+y = 3
x - y = 0
2x + y = 12
x – 2y =- 3
Option 3
Option 4
Answer:
x+y=3
Assuming that the option 1 and 2 dont mean anything
If CG= 10x + 9 and GE = 18x - 7, and CE
x=
CE=
Answer:
x=2
CE=58
Step-by-step explanation:
10x+9=18x-7
16=8x
x=2
10(2)+9+18(2)-7=
20+9+36-7=58
I have this Work Sheet and I need help!
Hope it helps u mate....
4x (2x+1) simplify the equation
answer:
4x × 3x
explanation:
Answer:
8[tex]x^{2}[/tex]+4x
Step-by-step explanation:
Distribute 4x by 2x and by 1
Answer will be 8[tex]x^{2}[/tex]+4x
-4x+9y=9
3y-6=x
Solve the system of equations and fill in the blanks
X=
Y=
Step-by-step explanation:
the answer for x = 9
the answer for y = 5
Jacob designs a building with a square base. He starts by building a model for the building, which has a base with an
area of 36 feet?. The base of the real building will have an area of 6084 ft.?.
What is the scale factor between the model and the real building?
O 78
O 13
O 169
O 6
Answer:
Step-by-step explanation:
base of model is 6 ft by 6 ft
base of building is 78 ft by 78 ft
scale factor = 78÷6 = 13
Pls help I will give brainiest answer.
Answer:
1) D
2) A
Step-by-step explanation:
The area of a parallelogram of base 10 cm and height 6.2 cm is
(a) 6.2 cm
(b) 31 cm
(C) 62 cm (d) 620 cm
Answer:
62 cm
Step-by-step explanation:
It's basically just a rectangle, so area formula for rectangle is base x height
help and listen to anime thighs by MC Virgan
Answer:
I am nottt listening to that i already know whay that is
Answer:
C broooo
Step-by-step explanation:
You deposit $3000 each year into an account earning 2% interest compounded annually. How much will you have in the account in 20 years?
Answer:
$72891.1094
Step-by-step explanation:
This method of saving is called sinking fund.
Future value (FV) = A*([tex]\frac{[(1+r)^{n} - 1]}{r}[/tex])
Where A is the amortization, r is the rate and n the number of years.
A = $3000
r = 2% = 0.02
n = 20
FV = 3000 * [tex](\frac{[(1.02)^{20} - 1]}{0.02})[/tex]
= 3000 * 24.2973698
= 72891.1094
FV = $ 72891.1094
The amount that would be in the account after 20 years is $72891.1094
What is a simplified form of the expression 2(–x + 2) + 3x?
In the simplified form the expression is x+4
Answer:
x+4
Step-by-step explanation:
The temperature of a piece of metal was 32°C. It was then lowered into a glass of
hot water and the temperature of the piece of metal rose to 36°С. Find the
percentage increase in the temperature of the piece of metal.
Answer:
12.5%
Step-by-step explanation:
Given that,
Initial temperature of a piece of metal = 32°C
Final temperature of the piece of metal = 36°С
We need to find the percentage increase in the temperature of the piece of metal. The percentage increase in any value is given by the relation as follows :
[tex]\%=\dfrac{|\text{final value-initial value}|}{\text{initial value}}\times 100\\\\=\dfrac{36-32}{32}\times 100\\\\=12.5\%[/tex]
So, the required percentage increase in the temperature of the piece of metal is equal to 12.5%.
ahhhh I need this explained 2
Answer:
Step-by-step explanation:
[tex]a_{n}=-2*5^{n-1}\\n=11\\a_{11}=-2*5^{11-1}\\a^{11}=-2*5^{10}\\=-2*50,000,000,000\\=-100,000,000,000[/tex]
Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p.
n = 80, p = 0.2
Answer:
mean =16
variance=12.8
standard deviation =3.578
Step-by-step explanation:
mean=np=80×0.2=16
variance= np(1-p)
=16(1-0.2)
=12.8
standard deviation =
[tex] \sqrt{12.8} [/tex]
=3.5777
=3.578
pick correct graph from multiple choice options. A.B.C.D PLEASE
Answer:
i think it would be going to C because you dont have what x would be so we could assume that it is 0 and y intersection would be 2
Step-by-step explanation:
5 + 4x - 2x = 8x + 11 + 12
Explain step by step PLEASE
About 5/7 of the earths surface is covered with water. About 88957440 km squared is land. How much in km squared of the earths surface is covered in water?
Answer:
71 percent
Step-by-step explanation:
About 71 percent of the Earth's surface is water-covered, and the oceans hold about 96.5 percent of all Earth's water. Water also exists in the air as water vapor, in rivers and lakes, in icecaps and glaciers, in the ground as soil moisture and in aquifers, and even in you and your dog. Water is never sitting still.
The area of the earth's surface covered in water will be 63541028.57 square kilometres.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Given that about 5/7 of the earth's surface is covered with water. About 88957440 km squared is land.
The area covered with water will be calculated as,
Area = ( 5 / 7 ) x 88957440
Area = 63541028.57 square kilometres.
To know more about an expression follow
https://brainly.com/question/28699958
#SPJ3
Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces.
(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces? Round your answer to 4 decimal places.
(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces? Round your answer to 4 decimal places.
Answer:
a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces
b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 8.0 ounces and a standard deviation of 1.1 ounces.
This means that [tex]\mu = 8, \sigma = 1.1[/tex]
(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?
[tex]n = 5[/tex] means that [tex]s = \frac{1.1}{\sqrt{5}} = 0.4919[/tex]
This probability is the pvalue of Z when X = 9.3. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{9.3 - 8}{0.4919}[/tex]
[tex]Z = 2.64[/tex]
[tex]Z = 2.64[/tex] has a pvalue of 0.9959
0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces
(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?
[tex]n = 6[/tex] means that [tex]s = \frac{1.1}{\sqrt{6}} = 0.4491[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 9. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{9 - 8}{0.4491}[/tex]
[tex]Z = 2.23[/tex]
[tex]Z = 2.23[/tex] has a pvalue of 0.9871
1 - 0.9871 = 0.0129
0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces
A set of buttons sells for $2.75 and costs $0.55 to make. Twenty percent of the profit (the difference between the purchase price and the amount it costs to make) from each set of pencils goes to RMS. If 500 sets are sold, what is the amount of money that will go to the school? i will give brainlyest A
$195.00
B
$220.00
C
$275.00
D
$310.00
Answer: b
Step-by-step explanation: I am 95% sure
An item originally costs $175.00. The item is now on sale for 99.75. What percent is the sale price for the original price? Is this an example of percent increase or decrease? Explain how you know?
Answer:
Discount percent = 43% off
Discount amount (money saved) = $75.25
Step-by-step explanation:
To find the discount percentage:
List price ($175) minus the sale price ($99.75) then divided by the list price ($175) and multiplied by 100 to get the discount percent of 43%.
To find how much money was saved:
List price ($175) minus sale price ($99.75) to get the amount saved, which savings are $75.25 in this case.
I hope this helps :)
A color printer prints 10 pages in 4 minutes. How many minutes does it take per page?
Answer:
2/5 minute OR 24 seconds
Step-by-step explanation:
4/10 = 2/5 minute
Hope that helps!
Match each equation on the left to the mathematical property it uses on the right
Answer:
attachment plz
Step-by-step explanation:
nothing is being seen
What is the difference between a savings and a checking account? HELPPP?!
1.A checking account creates interest.
2.A savings account creates Interest.
3.A savings account lets you take out as much money as you want as many times as you want.
4.Both accounts are the sam.
Answer:
3
Step-by-step explanation:
What are the answers to 3 and 4?
What is the domain and range of the function
f(x) = -(3)* + 2?
(TEK A.9A)
Answer:
ANSWER IS RIGHT HERE USE MATH PAPA
Step-by-step explanation:
PLS BRAILIEST
Doug rents a kayak for 12 days the rental charges 18 per day what is the best estimate for the total cost of the kayak rental
Answer:
200
Step-by-step explanation:
I rounded both numbers and multiplayer them.
Please solve the question below
Answer:
angle ERT = angle YUP
Step-by-step explanation:
To charter a fishing boat for 3 hours the captain charges a base fee of 45.00 plus 15.00 per person using variables construct a function that models the total cost of a 3-hour charter in terms of the number of people in your function. Define any variables you use. What is the correct interpretation of the initial value snd the rate of change
Answer:
$90.00
Step-by-step explanation:
Given
[tex]c = 45.00[/tex]--- base fee
[tex]m = 15.00[/tex] --- rate
[tex]x = 3[/tex] --- individuals
Required
Determine the total amount paid (y)
The relationship between the variables is:
[tex]Total = Base\ Fee + Rate * Individuals[/tex]
[tex]y = c + mx[/tex]
This gives:
[tex]y = 45.00 + 15.00 * 3[/tex]
[tex]y = 45.00 + 45.00[/tex]
[tex]y = 90.00[/tex]
Hence, the amount is $90.00