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Simplify these algebraic expressions
Answers
Answer:
1. 8x+10
2. -5x-5
3. 2x-20
Step-by-step explanation:
1. Combine like terms, 12x-4x = 8x, 3+7 = 10
2. Combine like terms. -7x+2x=-5x, 8-13 = -5
3. combine like terms, -3x+5x = 2x, -18-2 = -20
Related Questions
Given that the area of a rectangle is 36 square cm and its length is 12 cm. Find the
width of the rectangle.
Answers
Explanation: since the formula for area of a rectangle is length*width= area, plug the numbers in. 12*x=36. So, what times twelve equals 36? 3! You can also view it like this, 36/12, which would also get you three.
Answer:
is 3
Step-by-step explanation:
because to find the area for a ractangle you have to multiply LxW and 12x3=36
there are 47 students in the science club. all but 5 of them went on a field trip to the planetarium. what is the total cost if each student who went on the field trip paid $7?
Answers
47-5=42
42*7=294
Answer:
$294
Step-by-step explanation:
First do 47-5=42
Next do 42x7=294
so the total is 294
In a village
The number of houses and the number of flats are in the ratio 9:5
The number of flats and the number of bungalows are in the ratio 10:3
There are 30 bungalows in the village.
How many houses are there in the village?
Note: please make sure your final answer clear by writing ... houses
Answers
The number of houses are 180, and the number of flats are 100.
It is given that the number of houses and the number of flats ratio is 9:5 the number of flats and the number of bungalows ratio is 10:3.
It is required to find the number of houses in the village if the number of bungalows is 30.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The ratio of the number of houses and the number of flats:
= 9:5 and
The ratio of the number of flats and the number of bungalows :
=10:3
It means we can write the ratio of the number of houses and the number of flats = 18:10
And the ratio of the number of:
Houses : Flats : Bungalows = 18:10:3
But the number of bungalows are 30.
Then the ratios are:
180:100:30
Thus, the number of houses are 180, and the number of flats are 100.
Learn more about the fraction here:
brainly.com/question/1301963
Each limit represents the derivative of some function f at some number a. State such an f and a in each case.
lim √9 + h - 3 / h
h-->0
Answers
Answer:
a = 0f(h) = [tex]\frac{\sqrt{9+h} - 3}{h}[/tex]limit of the function is 1/6Step-by-step explanation:
The general form representing limit of a function is expressed as shown below;
[tex]\lim_{h \to a} f(h)[/tex] where a is the value that h will take and use in the function f(h). It can be expressed in words as limit of function f as h tends to a. Comparing the genaral form of the limit to the limit given in question [tex]\lim_{h \to 0} \frac{\sqrt{9+h} - 3}{h}[/tex], it can be seen that a = 0 and f(h) = [tex]\frac{\sqrt{9+h} - 3}{h}[/tex]
Taking the limit of the function
[tex]\lim_{h \to 0} \frac{\sqrt{9+h} -3}{h}\\= \frac{\sqrt{9+0}-3 }{0}\\= \frac{0}{0}(indeterminate)[/tex]
Applying l'hopital rule
[tex]\lim_{h \to 0} \frac{\frac{d}{dh} (\sqrt{9+h} - 3)} {\frac{d}{dh} (h)}\\= \lim_{h \to 0} \frac{1}{2} (9+h)^{-1/2} /1\\=\frac{1}{2} (9+0)^{-1/2}\\= \frac{1}{2} * \frac{1}{\sqrt{9} } \\= 1/2 * 1/3\\= 1/6[/tex]
PLEASE HELP!!! Find the equation of the line passing through the point (6,3) that is perpendicular to the line 4x−5y=−10. Enter your answers below. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12). Solution Step 1: Find the slope of the line 4x−5y=−10. Use a forward slash (i.e. "/") for all fractions (e.g. 1/2 for 12). m= _____ What would the perpendicular slope be? m= _____ Step 2: Use the slope to find the y-intercept of the perpendicular line. b= ____ Step 3: Write the equation of the line that passes through the point (6,3) that is perpendicular to the line 4x−5y=−10 y= ____ x+ Answer
Answers
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-interceptPerpendicular lines have slopes that are negative reciprocals.
Example: 2 and -1/2Example: 3/4 and -4/3SolutionWe're given:
Perpendicular to [tex]4x-5y=-10[/tex]Passes through (6,3)1) Determine the slope
Let's first rearrange this equation into slope-intercept form:
[tex]4x-5y=-10\\-5y=-4x-10\\\\y=\dfrac{4}{5}x+2[/tex]
Notice how [tex]\dfrac{4}{5}[/tex] is in the place of m in y = mx + b. This is the slope of the give line.
Since perpendicular lines are negative reciprocals, we know the slope of the other line is [tex]-\dfrac{5}{4}[/tex]. Plug this into y = mx + b:
[tex]y=-\dfrac{5}{4}x+b[/tex]
2) Determine the y-intercept
We're also given that the line passes through (6,3). Plug this point into our equation and solve for b:
[tex]y=-\dfrac{5}{4}x+b\\\\3=-\dfrac{5}{4}(6)+b\\\\b=3+\dfrac{5}{4}(6)\\\\b=\dfrac{21}{2}[/tex]
Plug this back into our original equation:
[tex]y=-\dfrac{5}{4}x+\dfrac{21}{2}[/tex]
Answer[tex]y=-\dfrac{5}{4}x+\dfrac{21}{2}[/tex]
Justin and Hayley conducted a mission to a new planet, Planet X, to study arm length. They took a random sample of 100 Planet X residents. Then they calculated a 95% confidence interval for the mean arm length.
Answers
Answer:
The correct answer is I am 95% sure that this interval includes the population mean arm length.
Note: Kindly find an attached image or copy of the complete question to this solution below:
Sources: The complete question was researched from Quizlet and Course hero sites.
Step-by-step explanation:
Solution
From the given question, i will say that I am 95 % confident interval that this interval include the population mean arm length is correct because using sample mean and confidence level we can obtain an interval which gives us the certain level of confidence that population mean is within this interval and here we are 95% confident that population mean is within this interval.
6 x 6 x 6 x 6 x 6 x 6 x 6= 6^x
Answers
Answer:
[tex] 6^7 [/tex]
Step-by-step explanation:
[tex]6 \times 6 \times 6 \times 6 \times 6 \times 6 \times 6 = 6^7 \\ [/tex]
Hey there!
6 * 6 * 6 * 6 * 6 * 6 * 6 ➡️ 6^7
= 36 * 36 * 36 * 6
= 1,296 * 36 * 6
= 46,656 * 6
= 279,936
Therefore, your answer is: 6^7
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
which of the following equations have no soltuions? 4x+5=4x+5 -4x+5=-4x-5 5x+5=-4x-5 -4x+5=-4x-4 choose all the answers that apply
Answers
Answer:
2nd
Step-by-step explanation:
Which expression is equivalent to (x - 5)(4x2 – 3x + 8)?
Answers
Answer:
(x - 5) (x (4 x - 3) + 8)
Step-by-step explanation:
4 x^3 - 23 x^2 + 23 x - 40
x (x (4 x - 23) + 23) - 40
(x - 5) (x (4 x - 3) + 8)
Suppose we roll 10 fair six sided dice
What is the probability that there are exactly two 2’s showing ?
Answers
Answer: 40%
Step-by-step explanation:
what is the solution to linear system x-y=4 and x+y=2
Answers
Answer:
Step-by-step explanation:
x - y = 4
x + y = 2
2x = 6
x = 3
3 + y = 2
y = -1
(3, -1)
find the next two terms in this sequence. 5,-5,10,-10,15,?,?
Answers
Answer:
I think the answer is -15
a caj register contains $10 and $50 with a total value of$1080. If there are 28 bills total, then how many if each does the register contain?
Answers
Answer:
Step-by-step explanation:
We can solve by means of a system of equations:
let x register $ 10
let y register $ 50
Now, we have:
10 * x + 50 * y = 1080
x + y = 28 => <x = 28 - y
replacing:
10 * (28 - y) + 50 * y = 1080
280 - 10 * y + 50 * y = 1080
40 * y = 1080 - 280
y = 800/40
y = 20
now for x:
x = 28 - 20
x = 8
which means that in total there are 8 register of $ 10 and 20 register of $ 50
What is the next term of this sequence? -5, 5, -6, 6, -7, 7, -8, ..
Answers
Answer:
8
Step-by-step explanation:
There are two series in one
-5, -6, -7, -8, ...and
5, 6, 7, and 8 is the next termFind the slope of a line perpendicular to the graph of the equation. y = –8
Answers
Answer:
undefined
Step-by-step explanation:
y = -8 is a horizontal line with a slope of zero
A line that is perpendicular is a vertical line, which has a slope of undefined
QUESTION 23 What does a BER of 10-5 mean? a. there will be no errors during transmission since the BER is so low b. does not mean anything unless associated with a transmission data rate (bit rate) c. there is a probability of one error for every 100,000 bits transmitted d. None of the above
Answers
Answer:
c. there is a probability of one error for every 100,000 bits transmitted
Step-by-step explanation:
What does a BER of 10-5 mean?
a. there will be no errors during transmission since the BER is so low b. does not mean anything unless associated with a transmission data rate (bit rate) c. there is a probability of one error for every 100,000 bits transmitted d. None of the above
BER is an abbreviation for bit error rate.
BER is the percentage of bits with errors divided by the total number of bits that have been transmitted, received or processed over a given time period.
The rate is typically expressed as 10 to the negative power.
BER is the digital equivalent to signal-to-noise ratio in an analog system.
In this case [tex]10^{-5}[/tex] is the same as writing [tex]1 \times10^{-5}[/tex] which means there is a probability of 1 error for every 100,000 bits transmitted.
A board of directors consists of 10 people, in how many ways can a chief executive officer, director, a treasurer, and a secretary be selected?
Answers
Answer:
The correct answer to the following question will be "5040".
Step-by-step explanation:
Given:
The number of directors,
n = 10
and they select on 4 peoples, then
Number of ways will be:
⇒ [tex]10_{P}_{4}[/tex]
⇒ [tex]\frac{10!}{10-4!}[/tex]
⇒ [tex]\frac{10!}{6!}[/tex]
⇒ [tex]\frac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1!}{6\times 5\times 4\times 3\times 2\times 1!}[/tex]
⇒ [tex]5040[/tex]
Assume that in a statistics class the probability of receiving a grade of A equals .30 and the probability of receiving a grade of B equals .30. The probability that a randomly selected student from this class will receive either an A or a B equals.
a. .09
b. .6
c. .9
d. .3
Answers
Answer:
Answer D is correct
3. A metal fabricating plant currently has five major pieces under contract each with a deadline for completion. Let X be the number of pieces completed by their deadlines, and suppose it's PMF p(x) is given by x 0 1 2 3 4 5 p(x) .05 .1 .15 .25 .35 .1 (a) Find and plot the CDF of X. (b) Use the CDF to find the probability that between one and four pieces, inclusive, are completed by their deadline
Answers
Answer:
a) The cumulative distribution function would be given by:
x 0 1 2 3 4 5
F(X) 0.05 0.15 0.30 0.55 0.9 1
b) [tex] P(1 \leq X \leq 4) = F(4) -F(0) =0.9-0.05 = 0.85 [/tex]
And replacing we got:
[tex]P(1 \leq X \leq 4) =0.85[/tex]
Step-by-step explanation:
For this case we have the following probability distribution function given:
x 0 1 2 3 4 5
P(X) 0.05 0.1 0.15 0.25 0.35 0.1
We satisfy the conditions in order to have a probability distribution:
1) [tex] \sum_{i=1}^n P(X_i)=1[/tex]
2) [tex] P(X_i) \geq 0, i=1,2,..,n[/tex]
Part a
The cumulative distribution function would be given by:
x 0 1 2 3 4 5
F(X) 0.05 0.15 0.30 0.55 0.9 1
Part b
For this case we want to find this probability:
[tex] P(1 \leq X \leq 4) = F(4) -F(0) =0.9-0.05 = 0.85 [/tex]
And replacing we got:
[tex]P(1 \leq X \leq 4) =0.85[/tex]
In a recent year, the Better Business Bureau settled 75% of complaints they received. You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Suppose your sample size is 113. What is the probability that the sample proportion will be at most 2 percent more than the population proportion
Answers
Answer:
what
Step-by-step explanation:
if you’re good with set theory and word problems in math 30 please help with questions 42 and 43 !! real answers only !!
Answers
Answer: 42) 2, 3 43) 144
Step-by-step explanation:
42)
1. n(P) = 8 + 5 = 13 (not 8) This statement is False.
2. n(Q but not P) = 9 This statement is True!
3. n(neither P nor Q) = 2 This statement is True!
4. n(Q') --> (n (not Q) = 8 + 2 = 10 (not 8) This statement is False.
5. P ∪ Q = 8 + 9 - 5 = 12 (not 5) This statement is False.
43)
Fill in the Venn Diagram as follows (from left to right):
M only = 55 --> 89 - (17 + 4 + 13) = 55
M ∩ E = 17 --> 30 - 13 = 17
E only = 5 --> 46 - (17 + 13 + 11) = 5
B ∩ M = 4 --> 17 - 13 = 4
M ∩ E ∩ B = 13 --> given
B ∩ E = 11 --> 24 - 13 = 11
E only = 35 --> 63 - (13 + 4 + 11) = 35
(M ∪ E ∪ B)' = 4 --> given
Total = 144
80)
The number of miles per gallon of gasoline that a car averages varies inversely as the average speed the car
travels. A car gets 11 miles per gallon at 42 mph. How many miles per gallon will it get at 61 mph? Round to the
nearest tenth if necessary. A) 16 miles per gallon B)7.6 miles per gallon C)0.13 miles per gallon D)0.06 miles per gallon
Answers
Answer:
The number of miles per gallon of gasoline that a vehicle averages varies inversely as the average speed the car travels. A vehicle gets 16 miles per gallon at 53 mph.
Step-by-step explanation:
hope this helps you :)
Enter the y-coordinate of the solution. Round to the nearest tenth. 5x+2y=7 -2x+6y=9
Answers
Answer:
59/34
Step-by-step explanation:
5x+2y=7
-2x+6y=9
Multiply the top equation by 3:
15x+6y=21
Subtract the second equation from the first:
17x=12
x=12/17
Plug this back into one of the other equations to find y:
5(12/17)+2y=7
60/17+2y=7
2y=59/17
y=59/34
Hope this helps!
Adrian is training for a 5K race. She
ran 5.5 miles the first week, 7.25
miles the second week and 10 miles
the third week. On the average, how
many miles did she run per week?
Round to the nearest hundredth.
PLZ HELP PLZ!!!!!
Answers
To get this we divide the total miles she ran for the weeks by the no of weeks she ran.
Total miles =5.5 +7.25+10= 22.25 miles altogether.
no of weeks =3.
Average miles = 22.75 /3=7.583333≅7.58(nearest hundredth)
Evaluate 3(x - 1) + 2 when x= 5.
O A. 14
OB. 16
O c. 4
O D. 18
Answers
Answer:
A
Step-by-step explanation:
[tex]3(x-1)+2= \\\\3((5)-1)+2= \\\\3(4)+2= \\\\ 12+2=\\\\14[/tex]
Hope this helps!
Answer:
[tex]14[/tex]
Step-by-step explanation:
[tex]3(x - 1) + 2[/tex]
[tex]x= 5[/tex]
[tex]3(5 - 1) + 2[/tex]
[tex]3(4) + 2[/tex]
[tex]12 + 2[/tex]
[tex]=14[/tex]
A trip took you 5 hours and you traveled 283.5 miles. If you averaged 49 mph
for the first part of the trip and 60 mph for the 2nd part, how long did you drive
at each rate?
Answers
Answer:
1.5 hr and 3.5 hr
Step-by-step explanation:
Time in the first part= x
Time in the second part= 5 - x
49x+60(5-x)=283.549x+300-60x=283.511x=300-283.511x= 16.5x= 16.5/11x= 1.5 hrand5-x= 5-1.5= 3.5 hrDan buys a car for £2100.
It depreciates at a rate of 2.2% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.
Answers
Answer:
£472.92
Step-by-step explanation:
£2100(0.78)^6
Helppppppppp?!!??please
Answers
Answer:
[tex]7.00[/tex]
Step-by-step explanation:
[tex]7.00+.48=7.48[/tex]
Answer:
The answer to the question is B) 7.00
Step-by-step explanation:
It says that
[tex]7.00 + 0.48=6.48[/tex]
But, That is wrong
So the correct version would be
[tex]7.00+0.48=7.48[/tex]
Hope this helps
8. (03.02 MC)
Given the function f(x) = 2(x + 10), find x if f(x) = 24. (1 point)
68
7
17
Answers
Answer:
x=2
Step-by-step explanation:
We know that
f(x)=2(x+10)
and
f(x)=24
Therefore, by substitution, we can set the 2 expressions equal to each other.
2(x+10)=24
Now, we need to solve for x. Perform the opposite of what is being done to the equation, and remember to perform everything to both sides.
2 and x+10 are being multiplied. The opposite of multiplication is division, so divide both sides by 2.
2(x+10)/2=24/2
x+10=24/2
x+10=12
10 is being added to x. The opposite of addition is subtraction. Subtract 10 from both sides.
x+10-10=12-10
x=12-20
x=2
Answer:
x=2
Step-by-step explanation:
....................................................
So I’m taking geometry online as a summer course since I failed my 1st semester. After completing it, when I return back to school do I have to take a test in order to advance and move on to another math?
Answers
Answer:
Since you are taking it online all the tests that you will have to do will be on there so as long as you pass the class you should be able to move on next school year. Good luck!