Answers
Answer:
7/ (3a-1)
Step-by-step explanation:
3a^2 -13a +4 28+7a
------------------ * --------------------
9a^2 -6a+1 a^2 -16
Factor
(3a-1)(a-4) 7(4+a)
------------------ * --------------------
(3a-1) (3a-1) (a-4)(a+4)
Cancel like terms
1 7
------------------ * --------------------
(3a-1) 1
Leaving
7/ (3a-1)
Related Questions
A taxi charges a flat rate of $3.00 plus $1.50 per mile. If Xander has $45.00, which inequality represents m, the distances in miles he can travel in the taxi? m less-than-or-equal-to 10 m greater-than-or-equal-to 10 m less-than-or-equal-to 28 m greater-than-or-equal-to 28
Answers
Answer:
m less-than-or-equal-to 28
Step-by-step explanation:
Xander's charge for m miles will be (3 +1.50m). He wants this to be no more than $45, so ...
3 +1.50m ≤ 45
1.50m ≤ 42 . . . . . . subtract 3
m ≤ 28 . . . . . . . . . .divide by 1.5
Answer: M is less than or equal to 28 or C
Step-by-step explanation:
GOT RIGHT ON E D G
Phoenix hiked the Rocky Path Trail last week. It took four days to complete the trip. The first two days she hiked a total of 26 miles. The second and third days she averaged 12 miles per day. The last two days she hiked a total of 28 miles. The total hike for the first and third days was 22 miles. How many miles long was the trail?
Answers
Answer:
50 miles
Step-by-step explanation:
let he hiked a,b,c and d miles on each of the four days respectively.
then, according to the question.
a+b=26...i
b+c= 24...ii
c+d=28...iii
a+c=22...iv
now, adding i,ii,iii,iv we get
2(a+b+c+d) = 100
a+b+c+d= 50 miles.
Hence, he traveled in all 50 miles.
What is the slope of the line between (−4, 4) and (−1, −2)?
Answers
Answer:
-2
Step-by-step explanation:
The slope of a line is
m = (y2-y1)/(x2-x1)
= (-2 -4)/(-1 - -4)
= -6/ ( -1 +4)
= -6 /3
=-2
Answer:
[tex]= - 2 \\ [/tex]
Step-by-step explanation:
[tex]( - 4 \: \: \: \: \: \: \: \: \: \: \: 4) = > (x1 \: \: \: \: \: \: y1) \\ ( - 1 \: \: \: \: - 2) = > (x2 \: \: \: \: \: \: y2)[/tex]
Now let's find the slope
[tex]slope = \frac{y1 - y2}{x1 - x2} \\ = \frac{4 - ( - 2)}{ - 4 - ( - 1)} \\ = \frac{4 + 2}{ - 4 + 1} \\ = \frac{6}{ - 3} \\ = - 2[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
Beverly drove from the Atlantic City to New York she drove 284 miles at a constant speed of 58 mph how long did it take Beverly to complete the trip
Answers
Answer:
4.9 hours = 4 hours 54 minutes
Step-by-step explanation:
speed = distance/time
time * speed = distance
time = distance/speed
time = (284 miles)/(58 mph) = 4.9 hours
4.9 hours - 4 hours = 0.9 hours
0.9 hours * (60 minutes)/(1 hour) = 54 minutes
4.9 hours = 4 hours 54 minutes
A football coach compared the yards per game of two of his running backs over the course of 10 games. Based on the data represented in the box plots, which football player had greater success during the 10 games? Nasir was more successful because he had the greatest number of yards in one game. Aaron was more successful because he had the greater total spread. Nasir was more successful because he had the greater measure of center. Aaron was more successful because he had an outlier.
Answers
Answer:
C Nasir was more successful because he had the greater measure of center
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Find the measure of each angle: Supplementary angles with measures (2x+3)° and (3x+2)°.
Answers
Answer: 73 degrees and 107 degrees.
Step-by-step explanation:
The total of supplementary angles are 180 degrees. So you add 2x+3 and 3x+2. Then you get 5x+5=180.
Subtract 5 from both sides. Now the equation is 5x=175.
Divide 5 on each side. x=35
Replace x with 35 in the equations. The angles are 73 and 107.
They both add up to 180 degrees so it is correct.
Draw a graph of f(x) =3^-x+3
Answers
Answer:
Use a graphing calc or desmos
Step-by-step explanation:
rounded to the nearest whole, what is the radius length if minor arcYZ = 12 and angleYXZ is one-third of a full circle? (i guessed it idk if it’s right)
Answers
Answer:
Option (1)
Step-by-step explanation:
Since the length of arc YZ = 12 units
m∠YXZ = one third of the full circle = [tex]\frac{360}{3}[/tex] = 120°
From the formula of arc length,
Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]
Where θ = Central angle subtended by the arc
r = radius of the circle
By substituting these values in the formula,
12 = [tex]\frac{120}{360}(2\pi r)[/tex]
12 = [tex]\frac{2}{3}\pi r[/tex]
[tex]18=\pi r[/tex]
r = [tex]\frac{18}{\pi }[/tex]
r = 5.73
r ≈ 6 units
Therefore, Option (1) will be the answer.
Teresa is investigating if grade level has any effect on time spent studying. What is the response variable?
Answers
Answer:
The time spent studying is the response variable.
Step-by-step explanation:
The response variable, also known as the dependent variable is the main question which the experiment wants to provide an answer for. Usually, the predictors determine or affect the response variable. In the study where Teresa investigates the effect of grade level on time spent studying, the response variable is the time spent studying, while the predictor which is the grade level provides an explanation as to the time spent studying.
The changes or variations on time spent studying depends on the grade level. This means that the grade level provides an explanation of the length of time dedicated to studying.
The relative frequency distribution of the number of phobias reported by a hypothetical sample of 500 college students is given as follows.
0–2 0.48
3–5 0.26
6–8 0.12
9–11 0.09
12–14 0.05
Required:
a. What is the probability that a college student expresses fewer than three phobias?
b. What is the probability that a college student expresses more than eight phobias?
c. What is the probability that a college student has between 3 and 11 phobias?
Answers
Answer:
a. 0.48
b. 0.14
c. 0.47
Step-by-step explanation:
Data provided in the question
0 - 2 0.48
3 - 5 0.26
6 - 8 0.12
9- 11 0.09
12- 14 0.05
Based on the above information
a. The probability for fewer than three phobias is
= P( x < 3)
= 0.48
b. The probability for more than eight phobias is
= P( x >8)
= 0.09 + 0.05
= 0.14
c. Probability between 3 and 11 phobias is
= P(3 < x < 11)
= 0.26 + 0.12 + 0.09
= 0.47
The public radio show "A Prairie Home Companion," features news from the fictional town of Lake Wobegon, MN, home to many Norwegian bachelor farmers, and where "all the women are strong, all the men are good looking, and all the children are above average." Suppose average means average for the town. Such a town could not possibly exist, because (select all that apply)
a. not all women are strong
b. not all the children can be above average
c. not all Norwegian bachelor farmers are good looking
d. half the children must be below average
Answers
Answer:
b. not all the children can be above average
d. half the children must be below average
Step-by-step explanation:
In theory, all women could be strong and all men could be good looking, however, since the average is calculated based on the town children, it is not possible for all children to be above average.
Assuming a normal distribution, half the children must be at or below average, while the other half must be at or above the average.
Therefore, the correct answers are:
b. not all the children can be above average
d. half the children must be below average
Answer:
Second and last options are correct choices.
Step-by-step explanation:
If all the children are above average, then the average should not include the average of the children. Because it is impossible for a data set to be have values greater than it's average.
Best Regards!
Karen, Pete, Rose, and David are comparing their solutions to a homework problem below.
(+ + 8
(-2)
1
Select the student who correctly subtracted the rational expressions,
Karen:
Pete:
+ 8 - 7
2
2)
5
(1 + 8)(x + 5) - 7
(1 - 2)(+ 5)
12 + 135 + 40 - 77 + 14
2 + 3x - 10
1? +61 + 54
12 + 91 - 10
Rose:
David:
(1 + 5
(1 + 8)
(r
+3+*5
(+216-6= x2 + 35 – 10
1 + 1
x2 + 3x - 10
7: + 8) + (x - 2)(= + 5)
7(: - 2)
II
75 + 8 + 12 + 91 - 10
78 14
2 + 101 - 2
70 - 14
Answers
Answer:pete
Step-by-step explanation:
3. What is the explicit formula for the arithmetic sequence 2, 7, 12, 17, ...?
Answers
Step-by-step explanation:
The given sequences are;
2,7,12,17......
difference =5
by using formula,
we get,
tn=a+(n-1)d
tn= 2+(n-1)5
Therefore, tn is 5n-3 is required formula for this arithmetic sequences.
Hope it helps....
In a 2-card hand, what is the probability of holding only face cards?
Answers
Answer:
12
Step-by-step explanation:
( J , Q, K 4 each)
so prob that for 2 cards, both cards are face
= C(12,2)/C(52,2) = 66/1326 = 11/221
Solve the system of equations for the variables: 5x+2y=13 x+2y=9
Answers
Answer:
x = 1
y = 4
Step-by-step explanation:
5x + 2y = 13
x + 2y = 9
Add both equations.
6x + 4y = 22
Solve for x.
6x = 22 - 4y
x = 22/6 - 4/6y
Put x as 22/6 - 4/6y in the second equation and solve for y.
22/6 - 4/6y + 2y = 9
-4/6y + 2y = 9 - 22/6
4/3y = 16/3
y = 16/3 × 3/4
y = 48/12
y = 4
Put y as 4 in the first equation and solve for x.
5x + 2(4) = 13
5x + 8 = 13
5x = 13 - 8
5x = 5
x = 5/5
x = 1
Answer:
x = 1, y = 4
Step-by-step explanation:
5x+2y = 13
x+2y = 9
Subtracting both equations
=> 5x+2y-x-2y = 13-9
=> 4x = 4
=> x = 1
Now, Putting x = 1 in the first equation
=> 5(1)+2y = 13
=> 2y = 13-5
=> 2y = 8
=> y = 4
What is the measure of C?
Answers
Answer:
C.) 60°
Step-by-step explanation:
The triangle is an equilateral triangle. So that means that all the angles measure the same. And we have to remember that a triangle always equals 180°
So, to find out the measure of an angle. We must divide 180 by 3. Which is 60
=60°
Hope this helps you out! : )
6 drinks make a six-pack. Marty has 23 drinks. name the mixed number of 6- packs Marty has.
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
[tex]3\frac{5}{6}[/tex]
▹ Step-by-Step Explanation
6 drinks = 6 Pack (one pack)
23 ÷ 6 = [tex]\frac{23}{6} = 3\frac{5}{6}[/tex]
Mixed number - [tex]3\frac{5}{6}[/tex]
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: It's 3 5/6
but isn't this 4th-grade work?
Step-by-step explanation:
You can retry this question below
A6 inch personal pizza has 610 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices.
Estimate the number of calories in one slice of a 12 inch pizza.
Answers
Answer:
305 calories, 120 from fat
Step-by-step explanation:
The ratio of the area of the larger pizza to that of the smaller pizza is the square of the ratio of the diameters. So, the larger pizza has an area that is ...
(12/6)² = 4
times that of the smaller pizza. When that area is divided into 8 parts, each part has an area that is 4/8 = 1/2 the area of the smaller pizza.
We expect a slice of the larger pizza to have 1/2 the calories of a smaller pizza, so 305 calories, 120 from fat.
__
610/2 = 305; 240/2 = 120.
Elif is arranging 28 chairs in rows in a room. Each row must be the same
length. The room is wide enough to make a row of 9 chairs, but no more
The room is deep enough to make 8 rows, but no more. What are the
possible numbers of rows and chairs in each row that Elif can make?
Answers
Answer:
Hey there!
Elif can only arrange the chairs like: 4 by 7, and 7 by 4.
Hope this helps :)
Hurrryy!!!
What is the value of x in the solution to the system of linear equations?
y=3x+2
y=x-4
O-7
O-3
0 1
O 5
Answers
Answer:
-3
Step-by-step explanation:
I'm not sure what the 0s are all about, but I can help with the equation;
To do this, we can do substitution. By equaling x-4 to 3x+2, we get
x-4=3x+2
By isolating the x, we get
-2x=6
x=-3
Hope this helped!
Please answer it now in two minutes
Answers
Answer:
3/4
Step-by-step explanation:
Rise over run.
Go up 3 units and 4 units to the right to find the next point
Answer:
Using points ( 8 , 9 ) and ( 4 , 6)
Slope = 6-9/4-8
= -3/-4
= 3/4
Hope this helps
divide
a) 21564÷2
b)40565÷5
c)6365÷8
d)1436÷7
answer please fast
Answers
Answer:
21564 ÷ 2 = 10782
40565 ÷ 5 = 8113
6365 ÷ 8 = 795.625
1436 ÷ 7 = 205.142857143
You and 3 of your friends decide to sell lemonade around town, and then split the money you make evenly. You decide to sell each cup of lemonade for 50 cents. In total, you all sell 120 cups of lemonade. How much money will each of you earn? Write an expression for the problem too.
Expression:
Answers
Answer:
$15
Step-by-step explanation:
Each cup is 50 cents which is basically $0.50
Multiply $0.50 by 120= $60
Because you and your three friends equal 4 total people,
divide 60 by 4 to get your own profit:
60/4=15
If this procedure is repeated 100 times, what is the probability that the number of times that the coin lands tails will be less than 40
Answers
Answer:
1.79% probability that the number of times that the coin lands tails will be less than 40
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed samples 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.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Fair coin:
Equally as likely to be heads or tails, so [tex]p = 0.5[/tex]
100 times
[tex]n = 100[/tex]
Then
[tex]\mu = E(X) = np = 100*0.5 = 50[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.5*0.5} = 5[/tex]
What is the probability that the number of times that the coin lands tails will be less than 40
Using continuity correction, this is [tex]P(X < 40 - 0.5) = P(X < 39.5)[/tex], which is the pvalue of Z when X = 39.5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{39.5 - 50}{5}[/tex]
[tex]Z = -2.1[/tex]
[tex]Z = -2.1[/tex] has a pvalue of 0.0179
1.79% probability that the number of times that the coin lands tails will be less than 40
a box is filled with chocolates and its mass is 480g. The same box is now filled with mints and its mass is 350g. The chocolates weigh twice as much as the mints. what is the mass of the box
Answers
Answer:
The box weighs 220 grams.
Step-by-step explanation:
Since the box full of chocolates weighs 480 grams, and the same box full of mints weighs 350, the weight difference between them is 130 grams. According to the statement, the quantity of chocolate weighs twice that of mint, while the weight of the box does not vary.
Therefore, since chocolate weighs twice as much as mints, and the weight is reduced by 130 grams, that is the difference in weight between the two, with which chocolate weighs 260 grams and mints 130 grams.
Therefore, the box weighs 220 grams: 220 + 130 = 350, and 220 + 260 = 480.
Pleaseeeeeee helppppppp
Answers
Answer:
[tex]\boxed{Option \ D}[/tex]
Step-by-step explanation:
The combination of a rational number (3) and an irrational no. ([tex]4i[/tex]) is called a complex number.
So,
[tex]3+4i[/tex] is a complex no.
Answer:
D. Complex number.
Step-by-step explanation:
This number is not irrational, since 3 is rational.
The number is not entirely rational, since 4i is irrational.
The number is not real because i is not real.
So, the number is a Complex number, since it includes both real and nonreal numbers.
Hope this helps!
Please answer this correctly
Answers
Answer:
75%
Step-by-step explanation:
There are 3 numbers that fit this rule, 3, 5, and 6. There is a 3/4 chance spinning one or a 75% chance.
Answer:
75%
Step-by-step explanation:
The numbers 6 or odd are 3, 5, and 6.
3 numbers out of a total of 4 numbers.
3/4 = 0.75
Convert to percentage.
0.75 × 100 = 75
P(6 or odd) = 75%
find the probability of being delt 5 clubs and 3 cards with one of each remaining suit in 8 card poker
Answers
Answer: 0.003757(approx).
Step-by-step explanation:
Total number of combinations of selecting r things out of n things is given by:-
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Total cards in a deck = 52
Total number of ways of choosing 8 cards out of 52 = [tex]^{52}C_8[/tex]
Total number of ways to choose 5 clubs and 3 cards with one of each remaining suit = [tex]^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1[/tex] [since 1 suit has 13 cards]
The required probability = [tex]=\dfrac{^{13}C_5\times^{13}C_1\times^{13}C_1\times^{13}C_1}{^{52}C_8}[/tex]
[tex]=\dfrac{\dfrac{13!}{5!8!}\times13\times13\times13}{\dfrac{52!}{8!44!}}\\\\=\dfrac{24167}{6431950}\\\\\approx0.003757[/tex]
Hence, the required probability is 0.003757 (approx).
The product of three consecutive integers is 210. What is their sum?
Answers
Answer: 69, 70, 71
x + x + 1 + x + 2 = 210
3x + 3 = 210
3x = 210 - 3
x = 207 / 3
x = 69
x + 1 = 70
x + 2 = 71
Find the radius of the cylinder when volume is 304 cm^3 and height is 10 cm
Answers
Answer:
3.11 cmsolution,
Volume of cylinder=304 cm^3
height=10 cm
Radius=?
Now,
[tex]volume = \pi {r}^{2} h \\ or \: 304 = 3.14 \times {r}^{2} \times 10 \\ or \: 304 = 31.4 \times {r}^{2} \\ or \: {r}^{2} = \frac{304}{31.4} \\ or \: {r}^{2} = 9.68 \\ or \: r = \sqrt{9.68} \\ or \: r = \sqrt{ {(3.11)}^{2} } \\ r = 3.11 \: cm[/tex]
Hope this helps..
Good luck on your assignment..