Answer:
x = 6
Step-by-step explanation:
2x + 4 = 3x - 2
2x - 3x = -2 - 4
-x = -6
x = 6
Answer:
x = 6
Step-by-step explanation:
We are given this equation:
2x + 4 = 3x - 2
And we want to evaluate the equation for x.
To do this, we need to isolate the variable (x) on one side of the equation.
We can start by putting the numbers on one side.
We can subtract 4 from both sides of the equation to start. Remember that when solving equations, whatever we do on one side of the equation, we need to do it on the other side as well.
2x + 4 = 3x - 2
-4 -4
___________________
2x = 3x - 6
Now, let's put the variables on the other side.
Subtract 3x from both sides.
2x = 3x - 6
-3x -3x
______________
-x = -6
Now, the numbers and variables are on different sides, however we are not done yet, as we need to take care of the negatives, as x shouldn't be negative in this case.
-x is the same as -1x, or -1 * x.
So, in order to get rid of the negatives, we can either multiply or divide both sides by -1.
Let's multiply both sides by -1.
-1(-x) = -1(-6)
x = 6
The value of x is 6.
maritza is playing a computer game to help her learn about science. her scores for the first six games were 11, 12, 10, 8, 14, and 15. how many points does she need to earn on the next game so that her average score for all games is 12 points? 14
For Maritza to keep her average of 12 points, she needs 14 points in her subsequent game.
What is mean?An individual data set's mean is its average. The concept of mean informs us of the quantity of data in its entirety.
In other words, this same deviation of data from across all data sets is built on the mean.
Mean = sum of data / Number of data
According to the given information:points given for the 6 games:
11,12,10,8,14 and 15
Let's say this same point in the seventh game is x, keeping the average at 12.
The average for the 7th game is.
(11 + 12 + 10 + 8 + 14 + 15 + x )/7 = 12
(70 + x )/7 = 12
70 + x = 84
x = 24
For Maritza to keep her average of 12 points, she needs 14 points in her subsequent game.
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9+(-4)+(-9)+4+8 with additive inverse
The additive inverse of the expression given as 9 + (-4) + (-9) + 4 + 8 is (-9) + 4 + 9 + (-4) -8
How to determine the additive inverse of the expression?The expression is given as
9 + (-4) + (-9) + 4 + 8
As a general rule, the additive inverse of an expression represented by x is
Additive inverse = -x
This means that
Expression = x
Additive inverse = -x
The above implies that we negate the expression to get the Additive inverse
So, we have
Expression = 9 + (-4) + (-9) + 4 + 8
This means that
Additive inverse = -[9 + (-4) + (-9) + 4 + 8]
Open the brackets
So, we have
Additive inverse = (-9) + 4 + 9 + (-4) -8
Hence, the additive inverse of the expression given as 9 + (-4) + (-9) + 4 + 8 is (-9) + 4 + 9 + (-4) -8
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need help !! Please somebody help
Answer:
The bottom Option
Note:
Due to my sus vibes from your questions, this is the last one I am answering from you. this is basic and easy if you read it.
the area of a certain state is 840000 square miles. what is this area in scientific notation?
1. 8.4x10.-4
2. 84x10.-3
3. 84x10.3
4. 8.4x10.5
please help
Answer:
4. 8.4×10^5
Step-by-step explanation:
The exponent of ×10 is the amount of places that you move the decimal. When the exponent is negative, you move the decimal to the left and when it is positive, you move it to the right. Number 1 and 2 are wrong right away because they move the decimal to the left which is not what we want. Number 3 is wrong because there are not enough 0's when we move the decimal. So, option 4 is correct. I hope this helps!
20 pts
A company sells designer purses for $400 per purse. Usually, they sell 3000 purses per month. According to market research, they will sell 500 more purses for every $20 reduction in price. Write a function R(x) that models the company's revenue, where x is the number of price reductions. Find the price that will generate the maximum revenue. Find the maximum revenue.
The price that would yield maximum revenue is $260 and maximum revenue is $1,690,000
What is the revenue function?
The fact that total revenue of the company is the price per purse multiplied by the number of purses sold, means that the revenue modelled function is simply price multiplied by the quantity sold as shown below:
R(x)=P*x
R(x)=Px
R(3000)=$400*3,000
R(3000)=$1200,000
Note for every 500 more purses, the price reduces by $20
R(3500)=$380*3,500
R(3500)=$1,330,000
R(4000)=$360*4000
R(4000)=$1,440,000
R(4500)=$340*4500
R(4500)=$1,530,000
R(5000)=$320*5000
R(5000)=$1,600,000
R(5500)=$300*5500
R(5500)=$1,650,000
R(6000)=$280*6000
R(6000)=$1680,000
R(6500)=$260*6500
R(6500)=$1,690,000
R(7000)=$240*7000
R(7000)=$1,680,000
The total revenue fell at 7,000 purses, which means that the maximum revenue is $1,690,000 at 6500 purses
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a clydes dale drinks about 120 gallons of every 4 days at this rate how many gallons of water does a clydsdale drink in 28 days
The gallons of water that a clydsdale drink in 28 days will be 840 gallons.
How to calculate the gallons?It should be noted that Clyde's dale drinks about 120 gallons of every 4 days. Therefore, the gallons Frank in a day will be:
= 120 / 4
= 30 gallons
Therefore, the gallons drank for 28 days will be:
= 30 × 28
= 840 gallons.
Therefore, the gallons of water that a clydsdale drink in 28 days will be 840 gallons.
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Find the equation of the line that passes through (4,13) and (8,1)
The equation of the line that passes through (4,13) and (8,1) is y = 0.6x + 10.6
How to find the equation of the line?given the points (4,13) and (8,1)
(x1,y1) = (4,13)
(X2, y2) = (8,1)
now we have to find slope of the line passing through these points.
[tex]slope = \frac{(y2 - y1)}{(x2 - y1)} \\ slope = \frac{1 - 4}{8 - 13}[/tex]
[tex]slope = \frac{ - 3}{ - 5} [/tex]
slope = 0.6
Hence, the slope of the line is 0.6
we know the standard form of equation of the line.
y = mx + b
let us put the x = 4 and y = 13
y = mx + b
13 = 0.6(4) +b
13 = 2.4 + b
13 - 2.4 = b
10.6 = b
now put the m and b value into standard form of equation of the line to get the equation of the line.
y = 0.6m + 10.6
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need help please
The following transformations are rigid and isometric: (choose all that apply)
dilation
reflection
rotation
translation
What is 59265 divided by the 8th power x 596 x 427 please help
59265 の 8 乗 x 596 x 427?
Answer: sus
Step-by-step explanation:
In an arithmetic sequence, the 10th term (a10) is 30 and the common difference is 2
. What is the 1st term (a₁)?
Based on the calculations on this arithmetic sequence, the value of the first term is equal to -8.
What is an arithmetic sequence?An arithmetic sequence can be defined as a series of real and natural numbers in which each term differs from the preceding term by a constant numerical quantity.
How to calculate an arithmetic sequence?Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:
aₙ = a₁ + (n - 1)d
Where:
d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.Given the following data:
Tenth term (a₁₀) = 30.
Common difference = 2.
Substituting the given parameters into the formula, we have;
10 = a₁ + (10 - 1)2
10 = a₁ + (9)2
10 = a₁ + 18
a₁ = 10 - 18
First term, a₁ = -8.
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Ted is a freshman attending a 4-year college. He has been approved for an $8.000 subsidized federal loan at 4.29% for 10 years. How much will the U.S. Department of
Education subsidize in interest costs during his 4.5-year non-payment period?
Answer:
12.17634
Step-by-step explanation:
Answer: $1,544.40
Step-by-step explanation: It just is
A hippopotamus can run 6 kilometers in 15 minutes. At this rate, how far can the hippopotamus run in 1 minute? __ kilometer(s) per minute
Answer:
15 minutes=1km
1 minute=?
(15m:m)×1km
minutes cancel minutes
15×1km=15km
Find the equation of the line passing
through the points (4, 2) and (6, 10).
y=[?]x+[ ]
Answer:
y=4x+-14
Step-by-step explanation:
i hope this helps
a number is 10 more than another number. twice the sum of the two numbers is 44 . find the two numbers.
Answer:
The two numbers are 8 and -2
Step-by-step explanation:
a=b+10
2(a+b)=12
you then substitute the first equation's value for a into the second equation.
2(b+10+b)=12
2(2b+10)=12
4b+20=12
b+5=3
b=-2
Then you substitute this value for b back into the first equation.
a=b+10
a=-2+10
a=8
The length of an alligator in a zoo is 1456feet. The Everglades National Park lists the longest alligator ever recorded in Florida at 17512feet. Which is the difference in their lengths?
The difference in their length is 16056
As per the question the length of alligators=1456 feet
At the same time the length of longest elegator is=17512 feet
We have to find out the difference
For difference we have to take
1756 min and 1456
As we know the formula of find the difference is by substituting so-
17512-1456
=16056
The difference= 16056 units feet
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I need help with this question!
the angle measures less than 90°, thus, the correct classification is acute.
Which is the correct classification for the angle ∠JML?
First, let's define the possible angles that we have here:
Obtuse: With a measure larger than 90° and smaller than 180°Acute: With a measure between 0° and 90°Right: With a measure of 90°Straight: With a measure of 180°.Notice that the angles HML and LMK should add up to 180°, then we can write:
∠HML + ∠LMK = 180°
132° + ∠LMK = 180°
∠LMK = 180° - 132° = 48°
Now we can see that:
∠JML = ∠JMK + ∠LMK
∠JML = 41° + 48° = 89°
So the angle measures less than 90°, thus, the correct classification is acute.
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An item costs $480 before tax, and the sales tax is $14.40.
Find the sales tax rate. Write your answer as a percentage.
Julio is paid 1.3 times his normal hourly rate for each hour he works over 29 hours in a week. last week he worked 44 hours and earned $456.32
The hourly rate is $9.40 per hour.
How to calculate the hourly rate?It should be noted that in this case, Julio works for 44 hours which mean 15 hours more than 29 hours.
He gets 1.3 times rate for this 15 hours and normal rate for the first 29 hours. Then the salary he would get should be: 29x + 1.3x(15)= 29x + 19.5x= 48.5x
Julio gets $456.32 which was 48.5 times of his hourly rate. The hourly rate would be:
= $456.32 /48.5
= $9.40/hour
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Julio is paid 1.3 times his normal hourly rate for each hour he works over 29 hours in a week. last week he worked 44 hours and earned $456.32.
Calculate the hourly rate.
Suppose an online electronics retailer is running two different specials. One deal will
get you 10% off your total purchase, and the other deal is worth $20 off a purchase
of $100 or more. Assuming you spend at least $100, if you are allowed to use both
deals, in which order do you want to apply them? Try the calculation both ways with
a few different prices, or write a formula to represent each option.
We get more money off when we follow order 1, that is, second deal follows first deal.
Given,
There are two deals in an online electronics retailer.
First deal: 10% off on your total purchase = x × (90/100)
Second deal: $20 off on a purchase of minimum $100 = x - 20
x be the money we spend.
We have to spend a minimum of $100.
They allowed us to use both deals.
We have to find the order of deals.
Lets check:
Order 1:
First deal, then Second deal.
First deal, x = 100
ie, x × (90/100) = 100 × (90/100) = 90
Second deal, x = 90
ie, x - 20 = 90 - 20 = 70
100 - 70 = 30
ie, $30 will get off when we apply this order.
Order 2:
Second deal, then first deal.
Second deal, x = 100
x - 20 = 100 - 20 = 80
First deal, x = 80
ie, x × (90/100) = 80 × (90/100) = 72
100 -72 = 28
ie, $28 will get off when we apply this order.
So, we can go for order 1.
Now lets check the same with x = 150 and x = 500
x = 150
Order 1:
First deal, then Second deal.
First deal: x = 150
ie, x × (90/100) = 150 × (90/100) = 135
Second deal, x = 135
ie, x - 20 = 135 - 20 = 115
150 - 115 = 35
ie, $35 will get off when we apply this order.
Order 2:
Second deal, then first deal.
Second deal, x = 150
x - 20 = 150 - 20 = 130
First deal, x = 130
ie, x × (90/100) = 130 × (90/100) = 117
150 - 117 = 33
ie, $33 will get off when we apply this order.
So, we can go for order 1.
x = 500
Order 1:
First deal, then Second deal.
First deal: x = 500
ie, x × (90/100) = 500 × (90/100) = 450
Second deal, x = 450
ie, x - 20 = 450 - 20 = 430
500 - 430 = 70
ie, $70 will get off when we apply this order.
Order 2:
Second deal, then first deal.
Second deal, x = 500
x - 20 = 500 - 20 = 480
First deal, x = 480
ie, x × (90/100) = 480 × (90/100) = 432
500 - 432 = 68
ie, $68 will get off when we apply this order.
So, we can go for order 1.
Lets conclude that,
We get more money off when we follow order 1, that is, second deal follows first deal.
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the lowest common denominator for the fraction 8/64 and 8/32 is
Answer:
Lowest common denominator is 8.Step-by-step explanation:
8? Why that low?Here's why:
64 and 32 are both divisible by 8. 64 / 8 = 8 and 32 / 8 is 4.
So then, we make the denominator 8 and numerator 1.
Lowest common denominator is 8.what are quadrilateral and diagonal lines that have equal length,the point of intersection divides both diagonals equally and perpendicular
Answer: A parallelogram with one right angle is a rectangle. A quadrilateral whose diagonals are equal and bisect each other is a rectangle.
PLEASE PLEASE PLEASE ANSWER !!!
What is the equation of the given line?
x = 0
y = -2
x = -2
y = -1
Answer:
y = -1
Step-by-step explanation:
→ First determine which axis the line passes through
y
→ Find which point the line passes through
-1
→ Equate both variables
y = -1
Jessiah can run 624 feet in 36 seconds. malik can run 720 feet in 54 seconds. who can run faster? show or explain how you know.
Hello!
Answer:
Jessiah is faster than Malik because 17.33 > 13.33.
Step-by-step explanation:
To solve this exercise, we will calculate the average speed of each of them, using the formula:
[tex]A_{s} =[/tex] Δ[tex]\frac{s}{t}[/tex]
Let's calculate each average velocity by replacing the values:
Jessiah:[tex]A^s^{}=\frac{624}{36} =\frac{312}{18} =\frac{156}{9} =\frac{52}{3}[/tex] ≈ [tex]17.33~feet/second[/tex]Malik:[tex]A^s^{}=\frac{720}{54} =\frac{360}{27} =\frac{120}{9} =\frac{40}{3}[/tex] ≈ [tex]13.33~feet/second[/tex]Hope this helps!
Answered by:
AshTheNeko
Charlie, Beth, and Miguel all babysit kids in their neighborhood. The table shows the number of hours and amount each of them earn last night. If each person babysits for five hours next weekend, which person will earn the most money? Use a coordinate plane if needed to solve.
Answer:
Step-by-step explanation: well first their is int a chart but bye reading the question i think is is Beth.
i hope this helped.
now we’ll look at what happens when we take the average of four normal draws (sample size is 4), and do that 100 times (number of trials is 100), so we get 100 means of four normals. first consider the theoretical quantities. question 6: for the sampling distribution of the mean of four standard normals, what are its theoretical mean and its standard deviation?
The theoretical mean and standard deviation is 22 and 38 respectively
np>5 and n(1-p)>5 for normal approximation
p=0.77
np>5 n×0.77>5=6.49
n(1=0.77)>5
n>5/0.23
n=21.7
The standard error of the mean for a sample size of 153 is 25 . In quest to reduce the SE of the mean in half(to 12.5 )
Standard error of sample maean is se=sd/sqrt n
se=sd/sqrt 153
Taking four times of sample size we get 4×153=612
The required sample size is 612
The mean of an infinite population is 73 and a standard deviation of 38 . The sample size of 121 is taken randomly from the given population. The SE of the sample mean equals:
standard error of the sample mean =38/sqrt121=3.4545
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what is 42% as a decimal?
DLD I need to get this done ASAP
Answer: d
Step-by-step explanation:
Sebastian has 100$ he spits it to four of his friends how much does sebastian give?
Answer: $25 to each friend
Step-by-step explanation: 100 divided by 4 = 25
I don’t really understand how to get this one :/
in function notation, we get that the transformed function is:
g(x) = -2*f(x - 10) + 800
How to identify the transformation?
Here the parent function is:
f(x) = x^2
And the transformed function is the one graphed in the lower right side of the given image.
Notice that the y-intercept of the transformed function is y = 600.
The x-intercepts are x = -10 and x = 30
Then the polynomial is something like:
y = a*(x + 10)*(x - 30)
Using the fact that the y-intercept is y = 600, then:
600 = a*(0 + 10)*(0 - 30) = a*-300
600/-300 = a = -2
The transformed function is:
g(x) = -2*(x + 10)*(x - 30)
Expanding that:
g(x) = -2( x^2 + 10x - 30x - 300)
Completing squares we get:
g(x) = -2*( x^2 - 20x - 300)
= -2*(x^2 - 2*10*x - 300)
Now we can add and subtract 100, so we get:
-2*(x^2 - 2*10*x - 300 + 100 - 100)
-2*( (x - 10)^2 - 400)
Finally, expanding that:
g(x) = -2*(x - 10)^2 + 800
Writing it in function notation, we get that the transformed function is:
g(x) = -2*f(x - 10) + 800
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15lb.12oz.+8lb.13oz.+7lb.9oz.
Answer: 32lb 2 oz
Step-by-step explanation:
15lb.12oz.+8lb.13oz.+7lb.9oz.=
(15+8+7)lb + (12+13+9)oz=
30lb+34oz=
30lb+32oz+2oz=32lb 2 oz
Answer:
32lb. 2oz.
Step-by-step explanation:
For ounces: 12+13+9=34
34/16= 2lb and 2oz
For pounds
15+8+7=30
For all: 30+2= 32lb
ANSWER: 32lb. 2oz.