Answer:
The plane takes [tex]2\frac{11}{24}[/tex] hours shorter.
Step-by-step explanation:
To calculate the number of hours that the plane saves, you must make the difference between the number of hours that must travel by train and the hours that must travel by plane. This is:
[tex]5\frac{1}{8} - 2\frac{2}{3}[/tex]
A mixed fraction is the combination of a whole number and a fraction, as in this case. To subtract mixed numbers, one way to do it is, firstly, to convert both fractions into improper fractions, remembering that the procedure for this consists of multiplying the whole number by the denominator of the fraction, to which the numbered one must be added. of the fraction. This number will be the numerator of the new fraction.
In this case:
[tex]5\frac{1}{8}=\frac{5*8+1}{8} =\frac{41}{8}[/tex]
[tex]2\frac{2}{3}=\frac{2*3+2}{3} =\frac{8}{3}[/tex]
Then:
[tex]5\frac{1}{8} - 2\frac{2}{3}=\frac{41}{8}-\frac{8}{3}[/tex]
Fractions have different denominators, so you need to find a common denominator in order to do the subtraction. A common denominator can be found by multiplying both denominators. Then you rewrite each fraction as an equivalent fraction with a denominator that is the common denominator. Finally you subtract the numerators and simplify the answer if necessary.
In this case:
[tex]5\frac{1}{8} - 2\frac{2}{3}=\frac{41}{8}-\frac{8}{3}= \frac{123}{24} -\frac{64}{24} =\frac{123-64}{24} =\frac{59}{24}[/tex]
Now you write the answer as a mixed number. For that you divide 59 by 24 to obtain 2 with a remainder of 11, being able to express the number as:
[tex]\frac{59}{24} =2\frac{11}{24}[/tex]
So:
[tex]5\frac{1}{8} - 2\frac{2}{3}=2\frac{11}{24}[/tex]
The plane takes [tex]2\frac{11}{24}[/tex] hours shorter.
Instead of using the values {1,2,3,4,5,6}
on dice, suppose a pair of dice have the
following: {1,2,2,3,3,4} on one die and
{1,3,4,5,6,8} on the other. Find the
probability of rolling a sum of 7 with
these dice. Be sure to reduce.
?
]
Answer:
[tex]Probability(sum7)=\frac{4}{24}=\frac{1}{6}[/tex]
Step-by-step explanation:
The dice form pairs of outcomes, so if the dice has repeating sides then the set of outcomes will be pairs of elements from the set {1,2,3,4} and {1,3,4,5,6,8}. The number of possible two pair combinations is 4 times 6 which equals 24 possible pairs. Now we find which of these pairs would have values summing up to 7: [tex](1,6),(2,5),(3,4),(4,3)[/tex] So 4 outcomes out of a possible 24 outcomes have this qualityThat's [tex]Probability(sum7)=\frac{4}{24}=\frac{1}{6}[/tex]Answer:
1/6
Step-by-step explanation:
100 POINTS PLEASE HELP
Please be accurate with this too.
Answer:
The answer is A :)
Step-by-step explanation:
Michonne's Phone Service charges $11.06 for an activation fee plus $4 for every gigabyte (g) used.
Answer:
Graph the line of y=11.06x+4
Step-by-step explanation:
First write the equation of the line you want to graph. In this case the values are 11.06 as m, and 4 as the y-intercept (b). If you substitute the values into y=mx+b. Then you need to graph it. Plot the y-intercept, then use rise/run to complete the rest of the points and the line.
What is the value of x in the equation 0.7x – 1.4 = –3.5?
–7
–3
3
7
Answer:
-3
Step-by-step explanation:
0.7x-1.4=-3.5
Add 1.4 to both sides:
0.7x=-2.1
Divide 0.7 from both sides:
x=-3
Jorge bought 16 apples for $8.00.
Let x represent the number of apples purchased, and let y represent the total cost.
Graph the line that represents the proportional relationship.
i go to wiva
Answer:
x=16
y=8.00
8/16=0.5 (50 cents per apple)
y=0.5x+0
If the coefficient of determination for a data set containing 9 points is 1, how
many of the data points must lie on the regression line for the data set?
O A. 9
OB. 8
O C. 6
O D. 7
Answer: A
Step-by-step explanation:
The coefficient of determination is a number between 0 and 1 used to measure the level of precision with which the regression model created fits the data. A measure of means that the model explains the entire variation between the two variables without error.
Therefore, in this case, if means that the 9 points are on the line
Answer:
Therefore, in this case, it means that the 9 points are on the line
Step-by-step explanation:
Samuel's lunch account begins with $50 and has $4 taken out each day.
Susie's lunch account begins with $36 and has $3 taken out each day.
Which inequality can be used to find x, how many days the balance in
Samuel's account will be less than the balance in Susie's account?
50 - 4x > 36 - 3x
50 + 4x > 36 + 3x
50 - 4x < 36. 3x
50+ 4x < 36. 3x
Answer:
C. 50 - 4x < 36 - 3x
Step-by-step explanation:
How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 80% antifreeze?
Answer:
The amount of water to be added is ¹/₄ gallon
Step-by-step explanation:
Given;
amount of pure antifreeze at 100% = 1 gallon
let the amount of water to be added with 0% antifreeze = (x) gallon
then, the amount of mixture at 80% antifreeze = (x + 1) gallon
For conservation of mass, we will have the following equation;
(1 x 1) + (0)(x) = 0.8(x +1)
1 = 0.8x + 0.8
0.8x = 1 - 0.8
0.8x = 0.2
x = 0.2 / 0.8
x = ²/₈
x = ¹/₄ gallon
Therefore, the amount of water to be added is ¹/₄ gallon
How many significant digits should the product of 11,435 m and 19.35 m have
Answer:
2 significants choes the least significant digets which is 19.35
result is 221,267.25
PLEASE HELP: Tangent, Sine, or Cosine? Please only answer if you know I genuinely need help. WILL GIVE BRAINLIEST IF CORRECT
Answer:
cosine
Step-by-step explanation:
cos 27=x/20
x=20 cos 27≈17.82
martin reads 19 pages of a novel in 12 minutes. complete the proportion and use it to find x, the number of pages he reads in 42 minutes
Answer:
67 pages in 42 minutes
Step-by-step explanation:
Which describes the transformation shown below
A
B
C
D
Answer:
i think the answer is a to be honest
Step-by-step explanation:
An 8-pack of batteries costs $9.44
What is the price in dollars, of one battery?
Answer:
1.18
Step-by-step explanation:
First we have established that 9.44 is the total, and we know that there are 8 batteries in each pack. This is a problem of division.
By first identifying key words like each and total, you can safely assume it will be a division problem.
First step: Dividing the total with the number of batteries in the singular pack gives you a valid answer
9.44÷8=1.18
Second step: To make sure you didn't miscalculate, you can use: 1.18×8, which is equal to the total.
Find the reciprocal of 7/12
Priya decomposed a square into 16 smaller, equal-size squares and then cut out 4 of the small squares and attached them around the outside of original square to make a new figure.
How does the area of her new figure compare with that of the original square?
The new square is smaller.
The price of apples at three different stores in shown below.
Store R sells apples for $1.20 per pound
Store S sells 4 pounds of apples for $5.00
Store T sells 3 pounds of apples for $3.48
Which of these is a true statemen
Answer: None
Step-by-step explanation: You need more info to answer that question so I would just put that you don’t know much about the question.
If p + 2q = 20, what is the value of 101p + 202q?
Answer:
bhvigjcgujj
Step-by-step explanation:
What do the angles of a triangle add up to? If 2 angles are 34 and 18, what is the third angle?
Answer:
The third angle is 128 degrees
Step-by-step explanation:
The interior angles of a triangle add up to 180 degrees, therefore we can set up the equation x+34+18=180 to find the missing angle. Solving the equation gets us x=128
Answer:
Angles of a triangle add up to 180 degrees. The third angle would be 128 degrees.
Step-by-step explanation:
34 + 18 = 52
180 - 52 = 128
Please help me, thanks!
Answer:
Algebraic expression for 75 less than twice Mabel's score is 2m-75
Step-by-step explanation:
We need to translate the phrase 75 less than twice Mabel's score into algebraic expression.
Translating into algebraic expression
Let m represent Mabel's score
Twice Mabel's score = 2m
75 less than Twice Mabel's score = 2m-75
So, algebraic expression for 75 less than twice Mabel's score is 2m-75
Which expression is equivalent to (r^-7)^6?
A new surgery is successful of the time. If the results of such surgeries are randomly sampled, what is the probability that more than of them are successful
Complete question is;
A new surgery is successful 85% of the time. If the results of 7 such surgeries are randomly sampled, what is the probability that more than 4 of them are successful?
Carry your intermediate computations to at least four decimal places, and round your answer to at least two decimal places
Answer:
P(X > 4) = 0.93
Step-by-step explanation:
This is a binomial probability distribution problem with the formula;
P(X = x) = C(n, x) × p^(x) × (1 - p)^(n - x)
We are told that a new surgery is successful 85% of the time. Thus;
p = 85% = 0.85
n = 7
probability that more than 4 of them are successful would be;
P(X > 4) = P(5) + P(6) + P(7)
P(5) = C(7,5) × 0.85^(5) × (1 - 0.85)^(7 - 5)
P(5) = 0.2097
P(6) = C(7,6) × 0.85^(6) × (1 - 0.85)^(7 - 6)
P(6) = 0.3960
P(7) = C(7,7) × 0.85^(7) × (1 - 0.85)^(7 - 7)
P(5) = 0.3206
P(X > 4) = 0.2097 + 0.3960 + 0.3206
P(X > 4) = 0.9263 ≈ 0.93
The manager of the zoo where the ticket price for an adult is $9.50 and the ticket price for a child is $6.50 wants to make at least $800 on a Saturday. Let x be the number of adult tickets and y be the number of child tickets. Choose the inequality that shows the numbers of tickets that need to be sold.
Answer:
[tex]9.5x+6.5y\geq $800[/tex]
Step-by-step explanation:
9.5 in value of adult tickets. 6.5 is value of children's tickets. combined selling of all of them should be greater than or equal to 800 ("atleast" in the question shows it can be more but cannot be less)
Consider the reduction of the triangle.
A triangle has side lengths 10 centimeters, 85 centimeters, and 62 centimeters. A smaller triangle has side lengths A, B, 6.2 centimeters.
Use the measurements of the original figure and the scale drawing to calculate the scale factor and missing measures.
What is the scale factor? 1/10
What is the length of A? 1
What is the length of B? 8.5
Answer:
What is the scale factor? 1/10
What is the length of A? 1
What is the length of B? 8.5
Step-by-step explanation:
The scale factor and missing measures are 1/10, A = 1, B = 8.5
What is scale factors?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Given are measurements of two triangles, we need to find the missing sides and the scale factors,
So, the scale factor = new measurement / original measurement = 6.2/62 = 1/10
Now, using the definition of the similar triangles, the ratio of the corresponding sides are equal,
62/6.2 = 85/B
10 = 85 / B
B = 8.5
Now,
62/6.2 = 10/A
10 = 10/A
A = 1
Hence, the scale factor and missing measures are 1/10, A = 1, B = 8.5
Learn more about scale factors, click;
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I'm not too sure on this one
Helpppppppppppppppppppp
Answer:
Step-by-step explanation:
What is the quotient when 10x^3-3x^2-7x+3 is divided by 2x-1?
Answer:
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
STEP
2
:
Equation at the end of step
2
:
STEP
3
:
10x3 - 3x2 - 7x + 3
Simplify ———————————————————
2x - 1
Checking for a perfect cube :
3.1 10x3 - 3x2 - 7x + 3 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 10x3 - 3x2 - 7x + 3
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -7x + 3
Group 2: 10x3 - 3x2
Pull out from each group separately :
Group 1: (-7x + 3) • (1) = (7x - 3) • (-1)
Group 2: (10x - 3) • (x2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
3.3 Find roots (zeroes) of : F(x) = 10x3 - 3x2 - 7x + 3
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 10 and the Trailing Constant is 3.
The factor(s) are:
of the Leading Coefficient : 1,2 ,5 ,10
of the Trailing Constant : 1 ,3
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -3.00
-1 2 -0.50 4.50
-1 5 -0.20 4.20
-1 10 -0.10 3.66
-3 1 -3.00 -273.00
-3 2 -1.50 -27.00
-3 5 -0.60 3.96
-3 10 -0.30 4.56
1 1 1.00 3.00
1 2 0.50 0.00 2x - 1
1 5 0.20 1.56
1 10 0.10 2.28
3 1 3.00 225.00
3 2 1.50 19.50
3 5 0.60 -0.12
3 10 0.30 0.90
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
10x3 - 3x2 - 7x + 3
can be divided with 2x - 1
Polynomial Long Division :
3.4 Polynomial Long Division
Dividing : 10x3 - 3x2 - 7x + 3
("Dividend")
By : 2x - 1 ("Divisor")
dividend 10x3 - 3x2 - 7x + 3
- divisor * 5x2 10x3 - 5x2
remainder 2x2 - 7x + 3
- divisor * x1 2x2 - x
remainder - 6x + 3
- divisor * -3x0 - 6x + 3
remainder 0
Quotient : 5x2+x-3 Remainder: 0
Trying to factor by splitting the middle term
3.5 Factoring 5x2+x-3
The first term is, 5x2 its coefficient is 5 .
The middle term is, +x its coefficient is 1 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 5 • -3 = -15
Step-2 : Find two factors of -15 whose sum equals the coefficient of the middle term, which is 1 .
-15 + 1 = -14
-5 + 3 = -2
-3 + 5 = 2
-1 + 15 = 14
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Canceling Out :
3.6 Cancel out (2x-1) which appears on both sides of the fraction line.
Final result :
5x2 + x - 3
The quotient when 10x³-3x²-7x+3 divided by 2x-1 is -21/8.
To calculate the quotient of the equation 10x³-3x²-7x+3 when it is divided by 2x-1, we use the quotient theorem.
Remainder theorem
The quotient theorem states that if f(x) is divided by x-a, then the remainder is f(a).
From the question,
Given:
f(x) = 10x³-3x²-7x+3............. Equation 1diveded by 2x-1The quotient is f(1/2), we substitute the value of x as 1/2 into equation 1
f(1/2) = 10(1/2)³-3(1/2)²-7(1/2)+3f(1/2) = (10/8)-(3/4)-(7/2)+3f(1/2) = -21/8Hence, The quotient when 10x³-3x²-7x+3 divided by 2x-1 is -21/8.
Learn more about the quotient theorem here: https://brainly.com/question/13328536
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Consider the integers x and y. When y is divided by x the remainder is 29. When y is divided by x/2, the remainder is 13. Determine x.
===============================================
Explanation:
When we divide y over x to get a remainder of 29, this means we are dividing over a value greater than 29. This means x > 29.
If we divided over a number 29 or less, then the remainder would be smaller than the divisor.
------------------------------------------
The variable x is some integer. When we divide y over (x/2) we get some other integer. This implies that x/2 itself is also an integer. That tells us that x is some even integer.
So far we know that x > 29 and x is some even number.
------------------------------------------
y divided by x leads to a remainder of 29. This means
y/x = q + 29/x
for some integer q, which is the quotient.
Multiply both sides by x
x*(y/x) = x*(q + 29/x)
y = qx + 29
We'll come back to this later.
------------------------------------------
Now divide y over (x/2) to get a remainder 13. We'll let n be the quotient this time
y/(x/2) = n + 13/(x/2)
which is equivalent to
y = n(x/2) + 13
We can multiply both sides by 2 further getting
2y = 2*( n(x/2) + 13 )
2y = nx + 26
Plug in y = qx+29 from earlier
2(qx+29) = nx + 26
2qx + 58 = nx + 26
Let's group the x terms to one side and everything else on the other side
2qx - nx = 26-58
2qx - nx = -32
-nx + 2qx = -32
nx - 2qx = 32
I multiplied both sides by -1 to turn that -32 into 32
Factoring x from the left side gives
nx - 2qx = 32
x(n - 2q) = 32
We have x as an integer, which is stated in the instructions.
In order to have x(n-2q) = 32 be true, this must mean n-2q is an integer.
We can say n-2q = 32/x, so 32/x is some integer because x is an integer.
------------------------------------------
In short, x and n-2q are both integers. In order for the two integers to multiply to 32, the factors must be smaller than 32 or equal to 32.
So [tex]x \le 32[/tex] and [tex]n-2q \le 32[/tex]
We don't need to worry about the second inequality since all we care about is x.
Recall that earlier we stated that x > 29 and x is even.
Combine this with [tex]x \le 32[/tex] and we form the compound inequality [tex]29 < x \le 32[/tex]
This basically says x is a value from the set {30, 32}
But x = 30 is not a factor of 32. There's no way to have x(n-2q) = 32 be a true equation if x = 30. We must rule x = 30 out.
The only thing left is x = 32. This is the final answer.
------------------------------------------
If x = 32 and y = 29, then we fit the requirements of the problem.
y/x = 29/32 = 0 remainder 29
y/(x/2) = 29/16 = 1 remainder 13
The solution has been confirmed.
Please help its due at 11:05
Answer:
-2 or -3 or even -4
Any number from -9 to -1 would be greater than -10
A person on a moving sidewalk travels 56 feet in 8 seconds. The moving sidewalk has a length of 210 feet. How long will it take to move from one end to the other?
**please help me **
Answer:
1470 seconds
Step-by-step explanation:
56=8 seconds
1 second= 56÷8=7
Ans=7×210=1470
Jessica is walking home from a friend's house. After two minutes she is 0.6 miles from home. Twelve minutes after leaving, she is 0.1 miles from home. What is her rate in miles per hour