First Case
[tex]|7x+42|=14x\\\\7x+42=14x\\\\42=7x\\\\6=x[/tex]
Second case
[tex]-|7x+42|=14x\\\\-7x-42=14x\\\\-42=21x\\\\-2=x[/tex]
Verify into first case
[tex]|7(6)+42|=14(6)\\\\|84|=84\\\\84=84\\\\LS=RS[/tex]
[tex]|7(-2)+42|=14(-2)\\\\28\neq -28\\\\LS\neq RS[/tex]
The solution is 6 and the extraneous solution is -2, which makes the answer C.
Chad rolls a 6-‐sided number cube. Which of the following describes the probability of rolling a factor of 32?
Impossible
Unlikely
Equally likely as not
Likely
Certain
Answer:
1,2 and 4 are the factors of 32 in numbers between 1 to 6
so probability of rolling a factor of 32 is = 3/6 = 1/2
now, the probability of not rolling the factor of 32 = 1 - 1/2 = 1/2
therefore, The probability is same for both cases.
Your answer is Equally likely as not
By : Modern Einstein
Find the measure of the unknown angle with the help of a protractor. Describe the method you used to find the angle measure.
Answer: 90 degrees acute
Step-by-step explanation: math
Do you think it would be better to purchase whole onions at $1.99 per pound, and cut them yourself, or purchase pre-sliced onions at $2.99 per pound? Explain your rationale using a cost and portion argument
The best option is to purchase the onion at $1.99.
What is the cost?The cost of any item is defined as the amount paid by the consumer to the seller in the replacement of the item.
Here, the cost of whole onions at $1.99 per pound, cut them yourself, and purchase pre-sliced onions at $2.99 per pound.
The loss = $2.99 - $1.99 = $1
You are giving more amount by $1 for the same onion cutting the onion is not a big task you can cut whole onions with a knife in no time.
Hence, purchase onions at $1.99 to save $1.
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One week, Charlotte earned $333.00 at her job when she worked for 18 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $425.50?
Step-by-step explanation:
$333 for 18 hours work.
so,
333/18 = $18.50 for a single hour.
how many hours to make $425.50 ?
well, as often as the amount of 1 hour work fits into 425.5 :
425.5 / 18.5 = 23 hours
she will have to work 23 hours to make $425.50.
The number of hours Charlotte has to work the next week to earn $425.50 is 23 hours.
Given that, one week, Charlotte earned $333.00 at her job when she worked for 18 hours.
We need to find how many hours would she have to work the next week to earn $425.50.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, money earned in one hour = 333/18 =$18.5
If she is paid the same hourly wage, to earn $425.50, she has worked for 425.50/18.5 hours
=23 hours
Therefore, the number of hours Charlotte has to work the next week to earn $425.50 is 23 hours.
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help fast!!!!!!!!!!!!!
Answer:
Refer the photos above and have a good day
Determine the sum of the following arithmetic series. Show your work.
∑(k = 1)^22 (-5k + 12)
A. 946
B. -946
C. -2002
D. -1001
Answer:hope this helps
Step-by-step explanation:
Do these data suggest an association between age and experiencing side
effects?
A. No. A greater percentage of both adults and children had no side
effects.
B. No. Adults were as likely to experience side effects as children.
C. Yes. A greater percentage of children experienced side effects
than adults.
D. Yes. A greater percentage of adults experienced side effects than
children.
answer would most likely be C
please help :(
brainliest for the correct answer, thank yous, and stars!
Answer:
32
8
Not enough info
Step-by-step explanation:
4/5 of 40 is 32
40 - 32 = 8
We don't know the total number of marbles in the bag
I WILL LITERALLY GIVE YOU 100 POINTS PLEASE!!!
The dot plot shows how many attempts it took for each student to complete a puzzle:
Is the median or the mean a better measure of center for these data and why?
A. Mean, because the data are skewed and there are outliers
B. Mean, because the data are symmetric and there are no outliers
C. Median, because the data are skewed and there are outliers
D. Median, because the data are symmetric and there are no outliers
what is the answer? 2/3x-(1/2x+1)
Answer:
x-6/6
Step-by-step explanation:
all you have to do is these steps
Combine multiplied terms into a single fraction
2. Multiply by 1
A couple deposits $21,000 into an account earning 7% annual interest for 20 years. Calculate the future value of the investment if the interest is compounded monthly
Round your answer to the nearest cent.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$21000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &20 \end{cases}[/tex]
[tex]A=21000\left(1+\frac{0.07}{12}\right)^{12\cdot 20}\implies A=21000\left( \frac{1207}{1200} \right)^{240}\implies A\approx 84813.52[/tex]
Which is equivalent to 5x2y-5 / 10x6y10
Final Answer:
-x^2y • (x^4y^9 - 10)
—————————
2
1
:
1
Simplify —
2
Equation at the end of step
1
:
1
((5•(x2))•y)-((—•x6)•y10)
2
STEP
2
:
Equation at the end of step 2
x6
((5 • (x2)) • y) - (—— • y10)
2
STEP
3
:
Equation at the end of step 3
x6y10
((5 • (x2)) • y) - —————
2
STEP
4
:
Equation at the end of step
4
:
x6y10
(5x2 • y) - —————
2
Gavin is selling water bottles at a baseball game to help raise money for new uniforms. Before the game, he buys 48 water bottles for a total of $18.50. At the game, he sells all of the bottles for $1.25 each. How much profit does Gavin make?
Step-by-step explanation:
he buys 48 bottles for $18.50.
FYI : that means he gets them for
18.5/48 = $0.385416666... per bottle
he sells all 48 bottles for $1.25 per bottle.
that means the revenue (or selling income) is
48 × 1.25 = $60.00
profit is now income minus basic costs :
profit = 60 - 18.5 = $41.50
help how do I do this???? (1/4-3/5n)-n
Answer:
1/4 - 8n/5
Step-by-step explanation:
(1/4-3/5n)-n = 1/4 - 3/5 n - 5/5 n = 1/4 - 8/5 n = 1/4 - 8n/5
Question 14 Write the equation of the reaches a slope of point-slope form.
Answer:
y = 3x - 1 .
Step-by-step explanation:
The general point-slope form is y = mx + c where m = slope and c is the y-intercept
As we are given the slope and one point we first use the point-slope form:
y - y1 = m(x - x1)
y - 5 = 3(x - 2)
y = 3x - 6 + 5
y = 3x - 1 (Answer).
Choose one of the following percents: 15%, 35%, Or 85%. Write and solve a word problem that uses you percent and involves finding the whole
Answer: On her math test, Elliana gets 6 questions wrong, or 15% of the total questions. How many questions are on the test?
Esplaination: She has 40 questions on the test because she has 40%/100 or 2/5 20x5=100 and 2x20=40
BTW the question is made up and goes togethetr with the bottom.
Brandon wants to conduct a survey as to whether mushrooms should be added
to the pizzas sold in the school cafeteria. Which sampling method will offer
Brandon the best results?
А interview every vegetarian student
B. interview every student at a pizza parlor
с interview every student who brings lunch from home
D
interview every student who eats lunch in the cafeteria
Which of the following pairs of values are NOT equal in a normal distribution curve?
The mean, median, and mode of a completely normal distribution will all have the same value, represented graphically by the top of the curve. The correct option is C.
What is a normal distribution?The mean, median, and mode of a completely normal distribution will all have the same value, represented graphically by the top of the curve. The normal distribution is often known as the bell curve because the probability density graph resembles a bell.
The option that is not true for the normal distribution is the value of the mean and the height of the density curve at its lowest are not equal.
Hence, the correct option is C.
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Pls I need help with this
Answer:
ok no problem first clean your mind
then singing a song ok i
love you
What is the reciprocal of 5 6/7 ?
What is the solution to the system of equations below?
(Hint: Sole using substitution)
y=2x+1
3x + y=-9
The solution is
help plsssssssssssssssssssssssssssssssssssssss
Answer:
A. p=0.42n
Step-by-step explanation:
2.52/6 = $0.42
$0.42 = the cost of one oranges
So,
To find the cost of n oranges you need to multiply it by 0.42
P=0.42 x n
Ex. Find the price of 4 oranges
So you're going to multiply 4 by 0.42 to get the cost of 4 oranges that will equals $1.68
The answer is p=0.42n
Round 66.3899872389 to the nearest thousandth.
Answer:
66.390
Step-by-step explanation: 66.389 the 9 is thousandths, it rounds up to 66.390
15. Find the area of the figure at
the right.
Answer:
The area is 64.
Step-by-step explanation:
First find the area of the simple shape in this case the regtangle so you would do 12 × 6 which equals 72. Then find the area of the shape that is taken away which is a triangle. In order to find the area of the triangle do 8×2÷2 which would equal 8. Finally do 72 - 8 and get your answer of 64.
What is the next term of the geometric sequence?
20, -10, 5
A circle has a radius of 5 and an angle of -60 degrees. What is the coordinates of the point on the circle
Answer:
x=2.5, y=-4.33
Step-by-step explanation:
[tex] x = 5 \times cos( - 60) = 2.5[/tex]
[tex]y = 5 \times \sin( - 60) = - 4.33[/tex]
During a one-year time period, how many gallons of water would the average household save by using an efficiency washer vs a regular washer? Is this one-year savings more or less than the amount of water an average person drinks in a lifetime? Explain and show your assumptions, calculations, and conversions.
Consider it to be 2 separate problems:
1. How much water is saved in a one-year period when using an efficiency washer vs regular washer - answer based on your assumptions and calculations for full credit
2. How much water does an average person drink in a lifetime – arrive at this answer based on your assumptions and calculations
3. Compare the answers to those 2 questions to arrive at your conclusion
Below are 2 pieces of information that you might find helpful
there are 128 oz in a gallon
there are 365 days in a year and also 52 weeks in a year
The sum of twice a number and eight is eleven.
Question 4 options:
2x+8=11
2x−8=11
2(x−8)=11
2(x+8)=11
Answer:
2x+8=11
Step-by-step explanation:
The equation 2x + 8 = 11 would be the answer.
2 (coefficient) ----> it would multiply by the unknown value represented by the common variable "x".
Because in the given situation, it says twice (means 2 multiplied by a number or a number multiplied twice by itself) then multiplication would be the order of operation used between the 2 and x.
The "and" indicates the order of operation addition, as it is proven as the only given options for the answer all equal 11.
Therefore, proving that option A is the answer.
determine the slope m, x- intercept , and y intercept of the equation 5x-2y=10
x-intercept(s): (2, 0)
y-intercept(s): (0, -5)
M= [tex]\frac{5}{2}[/tex]
184 cm sq one one of it's leg is 16 cm long.find the length of the other leg.
Answer: Let the one leg be=base=16cm
area=1/2×b×h
184=1/2×16×h
8h=184
h=184/8
h=23
so the height (perpendicular)=23cm
(hypotenuse)2=p2+b2
=square root (23×23+16×16)
=square root (785)
=28.01cm
therefore, H=28.01cm
P=23cm
