Answer:
1/6a-1/6, a=1
Step-by-step explanation:
Hey there! I can definitely explain :)
-2/3a+5/6a-1/6
Multiply the two terms (the first two), to have common denominators!
The common lowest (easiest to deal with) denominator is 18. So, multiply the first term (-2/3a) by 6/6 and the second term (5/6a) by 3/3!
-12/18a+15/18a-1/6
Now, add those together!
3/18a-1/6
Now simplify!
1/6a-1/6
If you want, you can solve for a!
1/6a=1/6
a=1
Hope this helps! Please mark brainliest :)
Describe each pattern formed. Find the next three terms. 4,8,16,32
Answer:
The pattern is multiplying by 2.
Next three terms: 64,128,256
Step-by-step explanation:
4,8,16,32
To get from 4 to 8 we can multiply by 2.
To get from 8 to 16 we can multiply by 2.
To get from 16 to 32 we can multiply by 2.
So the pattern is multiplying by 2.
To find the next three terms:
32*2=64
64*2=128
128*2=256
-10x + 3(8 + 8x) = -6(x - 4) solve for x
Answer:x=0
Step-by-step explanation:
Answer:
x = 0
Step-by-step explanation:
Solve for x:
3 (8 x + 8) - 10 x = -6 (x - 4)
3 (8 x + 8) = 24 x + 24:
24 x + 24 - 10 x = -6 (x - 4)
Grouping like terms, 24 x - 10 x + 24 = (-10 x + 24 x) + 24:
(-10 x + 24 x) + 24 = -6 (x - 4)
24 x - 10 x = 14 x:
14 x + 24 = -6 (x - 4)
Expand out terms of the right hand side:
14 x + 24 = 24 - 6 x
Add 6 x to both sides:
14 x + 6 x + 24 = (6 x - 6 x) + 24
6 x - 6 x = 0:
14 x + 6 x + 24 = 24
14 x + 6 x = 20 x:
20 x + 24 = 24
Subtract 24 from both sides:
20 x + (24 - 24) = 24 - 24
24 - 24 = 0:
20 x = 24 - 24
24 - 24 = 0:
20 x = 0
Divide both sides of 20 x = 0 by 20:
(20 x)/20 = 0/20
20/20 = 1:
x = 0/20
0/20 = 0:
Answer: x = 0
You roll a six-sided number cube (die). What is the BEST answer for the probability that the number rolled is between 1 and 6, inclusive?
A) certain
B) unlikely
C) impossible
D) very likely
Answer: It is A certain.
Step-by-step explanation:
Because all the numbers on a six-sided cube is between 1 and 6 so it is certain or 100/100 that the number will land on a number between 1 and 6.
ASAP PLEASE
simplify the equation
Answer:
Option A is correct
Step-by-step explanation:
a^(6/4) = a^(3/2)
b^(4/4) = b
c^(8/4) = c^2
Hope this helps!
:)
how many square feet of of outdoor carpet will we need for this hole?
Answer:
To convert the feet to square feet we have to multiply the length by the width. In which, we should get the answer as well.
Our length is 2ft, since it's a rectangle the other side is 2ft as well.
The width is 3ft, and the other half is 3ft.
So, basically to get the area of the hole, it'd be 3*2=
Which, it's 6sq ft.
Step-by-step explanation:The actual answer is 36. If I am wrong i am sorry ;3
Marcus has a life insurance policy that will pay his family $35,000 per year if
he dies. If interest rates are at 2.5% when the insurance company has to pay,
what is the amount of the lump sum that the insurance company must put
into a bank account?
O
A. $1 million
O
B. $350,000
O
C. $1.4 million
O
D. $3.5 million
The correct answer is $1.4 million
The insurance company must put $1.4 million into a bank account.
What is insurance?Insurance is a way to manage your risk. When you buy insurance, you purchase protection against unexpected financial losses. The insurance company pays you or someone you choose if something bad happens to you.
Given that, Marcus has a life insurance policy that will pay his family $35,000 per year if he dies. the interest rates are at 2.5%, we need to find the amount of the lump sum that the insurance company must put into a bank account,
Considering that the interest is Simple interest,
So, SI = PRT / 100
Here, the interest is 35000, P we need to find, r = 2.5 and T = 1
35000 = 2.5P/100
3500000 = 2.5P
P = 1400000
P = 1.4 millions
Hence, the insurance company must put $1.4 million into a bank account.
Learn more insurance click;
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Round 0.782 with 7 being the underlined digit
If y = 5cos2x, what is the amplitude?
Answer:
5
Step-by-step explanation:
The amplitude is the coefficient of the cosine function: 5.
100 POINTS TO ANSWER THIS PLZ HURRY
Answer:
This is tricky but I think it is A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes; mean = 114.15): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118. What is the range?
Answer:
The range will be 103 because 148-45 = 103
(7.8×10^-5)-(4.5×10^-5)
Answer:
0.000033
Step-by-step explanation:
(7.8×10^-5)-(4.5×10^-5)=
(7.8×0.00001)-(4.5×0.00001)=
0.000078-0.000045=
0.000033
Answer:
0.000033
Step-by-step explanation:
your welcome :)
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
Step-by-step explanation:
D.12
A.26
........................
Answer:
D and A
Step-by-step explanation:
D= 132
A is larger than 132
missy went to the store and bought 3 packs of candy. Each packs holds 5 chocolate bar. how many chocolate bars did missy but at the stores
Answer:
15
Step-by-step explanation:
5 x 3 = 15
Hope this helps ;)
What is the formula for slope-intercept form?
Answer:
y = mx+b
Step-by-step explanation:
The slope intercept formula for a line is
y = mx+b where m is the slope and b is the y intercept
The formula for slope-intercept form is attached below.
I have drawn this on my whiteboard.
In this equation, the m represents slope
and the b represents the y-intercept.
what is 4.156 - 0.34 in Simplify the following expression.
Answer:
3.816
Step-by-step explanation:
4.156-0.34
=4.156-0.34
=4.156 + (-0.34)
= 3.816
hope this helps!!
The given expressions 4.156 - 0.34 simplified form is 3.816.
We have given,
4.156 - 0.34
We have to determine the subtraction
What is subtraction?
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol -
4.156-0.34
=4.156-0.34
=4.156 + (-0.34)
= 3.816
The given expressions 4.156 - 0.34 simplified form is 3.816.
To learn more about the expression visit:
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Classwork
Problem 1.
Gisele spent 7/10 of her money оn a book and 10/100 of her money on food. What fraction of her money
did she spend altogether?
Answer: It is 8/10 Because 7+1 equals 8/10 so 7/10+1/10 equals 8/10.
Brainliest will be given to the CORRECT answer.
Answer: Answer is C
Step-by-step explanation:
Answer:
c.
Step-by-step explanation:
6x²-7x-5=6x²-10x +3x-5 =( 6x²+3x)-(10x+5)=3x(2x+1)-5(2x+1)=
=(2x+1)(3x-5)
An mp3 player is on sale for 30% off the regular price of $39.98. How much is the discount?
Answer:
$27.98
Step-by-step explanation:
100 - 30 in price %=70%
Price will be 70% of original regular price
$39.98 * .7 = answer
Answer:
Discount is $11.99
Total is now $27.99
Step-by-step explanation:
To find the discount, you find out what 30% is of 39.98, so you multiply
39.98 x 30%(or .3) = 11.994
39.98- 11.99= 27.99
Plz help ..............!!!!!
Answer:
1.8
is the median
Answer: 1.8
Step-by-step explanation: 1.8 is the median
Assume that the probability of a driver getting into an accident is 5.7% and
that the average cost of an accident is $24,500. If the driver's insurance
premium is $1686.50, what is the overhead cost for the insurance company
to insure the driver?
A. $256
B. $190
C. $290
D. $260
Answer:
C. $290
Step-by-step explanation:
The expected cost is:
E = 1686.50 − (0.057) (24500)
E = 290
Ameeta finished 12 math problems. David finished 3 times as many. How many more math problems did David finish than Ameeta?
Answer:
24
Step-by-step explanation:
Ameeta = 12 math problems.
David =12×3=36 math problems
So 36-12=24
Answer:
12
David's
3 times longer
comparison problem
Step-by-step explanation:
got right on edge
Pls answer the last question thank you! Number 5.
Answer:
1/2 x 4/1 x 2/1 = 4
4th should be 1/6 btw
Step-by-step explanation:
Answer:
Step-by-step explanation:
We'll say the fraction is 4 1/2 so: The length is 6 blocks the width is 2 blocks and we'll say the height is 3 blocks so the length would be 27 the width is 9 and the height is 13 1/2 now 27*9*13 1/2=3280 1/2
(you might have to draw this cube just sayin idk exactly what it wants)
Javier is 175% heavier than his brother. If Javier’s brother weighs 80 pounds, how much does Javier weigh?
Answer:
140
Step-by-step explanation:
175% of 80 = 140
Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probability distribution with a mean of $387.20 and a standard deviation of $68.50. What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?
Answer:
52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this question, we have that:
[tex]\mu = 387.20, \sigma = 68.50[/tex]
What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?
This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So
X = 425
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{425 - 387.20}{68.50}[/tex]
[tex]Z = 0.55[/tex]
[tex]Z = 0.55[/tex] has a pvalue of 0.7088
X = 325
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{325 - 387.20}{68.50}[/tex]
[tex]Z = -0.91[/tex]
[tex]Z = -0.91[/tex] has a pvalue of 0.1814
0.7088 - 0.1814 = 0.5274
52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425
An international company has 27,8000 employees in one country. If this represents 32.7% of the company's employees, how many employees does it have in total?
Answer:
850152.29052
Step-by-step explanation:
278000 rep 32.7%
278000=32.7%, 100% is the total
100%×278000= 278000000÷32.7=850,152.29052
Consider the following proposed proof, which claims to show that every nonnegative integer power of every nonzero real number is 1.
Let r be any nonzero real number, and let P(n) be the equation r ^n = 1.
Show that P(0) is true : P(0) is true because r^0 = 1 by definition of zeroth power.
Show that for every integer k >= 0, if P(i) is true for each integer i from 0 through k, then P(k + 1) is also true:
Let k be any integer with k >= 0 and suppose that r^ i = 1 for each integer i from 0 through k. This is the inductive hypothesis. We must show that r^ k + 1 = 1. Now
r^ k + 1 = r^ k + k - (k - 1) because k + k - (k - 1) = k + 1
r ^k * r^ k / r^ k - 1 by the laws of exponents
1*1 / 1 by inductive hypothesis
=1
Thus r^ k + 1 = 1 [as was to be shown].
[Since we have proved the basis step and the inductive step of the strong mathematical induction, we conclude that the given statement is true.]
Question:
a) Identify the error(s) in the above "proof."
Answer:
The statement is not true. There is an error in the following step:
[tex]\frac{r^{k} * r^{k} }{r^{(k-1)} } = \frac{1 * 1}{1}[/tex]
Step-by-step explanation:
Here is the complete proof:
[tex]r^{k + 1} = r^{k + k - (k - 1)}[/tex] (because k + k - (k - 1) = k + 1)
[tex]= \frac{r^{k} * r^{k} }{r^{(k-1)} }[/tex] (By laws of exponent)
[tex]= \frac{r^{k} * r^{k} }{r^{k} * r^{-1} } }[/tex]
[tex]= \frac{r^{k} * r^{k} * r^{1} }{r^{k}} }[/tex] (Since the power of r is a negative integer i.e. -1 it will shift to the numerator)
[tex]= r^{k} * r^{1}[/tex] (We get this equation after canceling out the similar terms in numerator and denominator in previous step)
[tex]= r^{k + 1} \neq 1[/tex] (Provided r > 1 or r < -1)
Multiply the fraction by the whole number. Find the answer as a proper fraction or mixed number in simplest terms. *
3 x 4/5: options
*2 3/5
*1 2/5
*2 1/5
*2 2/5
Answer:
2[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Whole numbers can be seen as the number over 1. So, 3 can also be written as [tex]\frac{3}{1}[/tex]. To do [tex]\frac{3}{1}[/tex] x [tex]\frac{4}{5}[/tex] you just multiply across (3x4 and 1x5). Doing so gets you [tex]\frac{12}{5}[/tex]. Since 12 is bigger than 5, you need to find out how many times 5 fits into 12, which is 2 times. This means 2 is the whole number, however you're still left with 2 from the fraction [tex]\frac{12}{5}[/tex], since 2x5 is just 10. You write the remaining 2 as [tex]\frac{2}{5}[/tex], because that's what the original denominator was. The final answer is 2[tex]\frac{2}{5}[/tex].
hurry plz im timed. i have 20 minutes left
Which shows how the distributive property can be used to evaluate 7 times 8 and four-fifths?
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
56 times StartFraction 28 over 5 EndFraction = StartFraction 1568 over 5 EndFraction = 313 and three-fifths
15 + (StartFraction 35 over 5 EndFraction + four-fifths) = 15 + StartFraction 39 over 5 EndFraction = StartFraction 75 over 5 EndFraction + StartFraction 39 over 5 EndFraction = StartFraction 114 over 5 EndFraction = 22 and four-fifths
15 times (StartFraction 35 over 5 EndFraction + four-fifths) = 15 times StartFraction 39 over 5 EndFraction = StartFraction 15 over 1 EndFraction times StartFraction 39 over 5 EndFraction = StartFraction 585 over 5 EndFraction = 117
Answer:
First one:
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
Step-by-step explanation:
7 × 8⅘
7(8) + 7(4/5)
56 + 28/5
56 + 5 + 3/5
61 3/5
Answer:
its A
Step-by-step explanation:
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
and pls mark me as brainliest if this is correct! :D
The net of a rectangular prism and its dimensions are shown in the diagram.
7.5 in.
7.5 in.
3 in.
3 in.
11.5 in.
11.5 in.
What is the total surface area of the rectangular prism in square inches?
A 143.25 in.2
B 241.5 in.?
C 258.75 in
D 286.5 in.?
Answer:
D.
Step-by-step explanation:
Given: Dimensions of a rectangular prism are [tex]7.5\,\,inches,3\,\,inches\,,\,11.5\,\,inches[/tex]
To find: total surface area of the rectangular prism in square inches
Solution:
Length of the rectangular prism (l) = 7.5 inches
Breadth of the rectangular prism (b) = 3 inches
Height of the rectangular prism (h) = 11.5 inches
Total surface area of the rectangular prism = 2(lb+bh+hl)
= [tex]2(7.5\times3+3\times11.5+11.5\times7.5 )[/tex]
[tex]2(7.5\times3+3\times11.5+11.5\times7.5 )=2(22.5+34.5+86.25)\\=2(143.25)\\=286.5\,\,square \,\,inches[/tex]
So, option D is correct
Answer:
D! I got it correcttt
Step-by-step explanation:
Solve for y:
9y = 81
Answer:
y=9
Step-by-step explanation:
9y=81
divide 9 on both sides
y=9