A cable 84 meters long is cut into two pieces so
that one piece is 20 meters longer than the other.
Find the length of each piece of cable.
Answer: 33
Step-by-step explanation: Let x equal the shorter piece.
x + (x + 18) = 84
2x + 18 = 84
2x = 66
x = 33
What’s the value of number 2
Where's the question? I think you forgot to post it.
alvin is 11 years older than ella. the sun of their ages is 59. what is elgas age
Answer:
Hii, okay so the answer 48
Step-by-step explanation:
Just subtract, Hope this helps :)
Answer:
24 years old
Step-by-step explanation:
Given information:
• Alvin is 11 years older than Ella.
• The sum of Alvin and Ella's ages is 59.
First, put the given information into an equation that can solve for Ella's age:
x = Ella's age
x + 11 = Alvin's age
x + x + 11 = 59 Combine like terms.
2x + 11 = 59 Subtract both sides of the equation by 11 to isolate x.
2x = 48 Divide both sides by 2 to get the value of x.
x = 24
Ella's age is 24 years old.
cho tam giác abc vuông tại a
Chứng minh:
a c ⋅ sin b + a b ⋅ sin c = b c
What's the answer to this world problem please:
Mr. See got $1675 from selling 50 thumb drives and computer keyboards. Each thumb drives cost $24 and each computer keyboard cost $49. How many computer keyboards did he sell?
Answer:
19 keyboards
Step-by-step explanation:
Let d = thumb drives; and k = computer keyboards
Total number of sales of thumb drives and keyboards is 50
50 = d + k
Rearranged:
d = 50 - k
Total revenue from the sale of $24 thumb drives and $49 keyboards is $1675
1675 = 24d + 49k
Sub in d = 50 - k
1675 = 24(50 - k) + 49k
1675 = 1200 - 24k + 49k
475 = 25k
k = 475/25
k = 19
(To check, d = 50 - 19 = 31)
2. Aimee lives 4/5 of a mile from
the park. She has walked 2/3 of
the way to the park. How far has
Aimee walked?
Answer:
[tex]\frac{8}{15}[/tex] of a mile
Step-by-step explanation:
To find a segment of a fraction, you must first find the LCM of each value's denominator:
LCM - Lowest Common Multiple
The lowest common multiple is the number that shows up first in each number's multiple set.
Example: LCM of 4 and 6
Multiples of 4: 4, 8, 12, 16, 20
Multiples of 6: 6, 12, 18, 24, 30
Because 12 is the first number to show up in each multiple set, 12 is the LCM.
So, to be able to solve this problem easy, do the same with 5 and 3:
5, 10, 15, 20, 25
3, 6, 9, 12, 15
Since 15 is the first number in both sets, 15 is the LCM.
The next step is to multiply [tex]\frac{4}{5}[/tex] by [tex]\frac{x}{x}[/tex], x being the value that can be multiplied with the denominator to equal 15:
[tex]\frac{4}{5}[/tex] × [tex]\frac{3}{3}[/tex] = [tex]\frac{12}{15}[/tex]
To find how much [tex]\frac{2}{3}[/tex] of [tex]\frac{12}{15}[/tex] is, multiply the fractions together:
[tex]\frac{12}{15}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{24}{45}[/tex]
Simplify the fraction by dividing the numerator and denominator by 3.
[tex]\frac{24}{45}[/tex] ÷ [tex]\frac{3}{3}[/tex] = [tex]\frac{8}{15}[/tex]
Because the fraction can't be simplified any further, Aimee has walked a total of [tex]\frac{8}{15}[/tex] of a mile.
2+3x4+5= help me ples me need hlep pleas
Answer:
the correctanswer is 19
the number of girls in the class was 1 less than 3 times the number of boys there were 15 students in all. How many were boys, and how many were girls
There was 4 boys and 11 girls in the class.
Let x represent the number of boys and y represent the number of girls.
Since the number of girls in the class was 1 less than 3 times the number of boys, hence:
y = 3x - 1
3x - y = 1 (1)
Also, there were 15 students in all, hence:
x + y = 15 (2)
Solving equations 1 and 2 simultaneously gives:
x = 4, y = 11
Hence, there was 4 boys and 11 girls in the class.
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Please help maths question which box is it and why!
Answer:
the third one because it will make more sense
Step-by-step explanation:
medical tests. Task Compute the requested probabilities using the contingency table. A group of 7500 individuals take part in a survey about a rare disease and medical test. The data for the group is given in the table below. A person listed as "Sick" has the disease, while someone listed as "Not Sick does not "Tested Positive means the test indicated the person was sick, and "Tested Negative" means the test indicated they were not sick. The test is believed to be around 99% accurate. Sick Not Sick Tested Positive 59 75 Tested Negative 1 7365 h One person at random is chosen from the group (3 pts) Find the probability the person is sick. b. (3 pts) Find the probability the test is positive given that the person is sick (3 pts) Find the probability the test is negative given that the person is not sick. d. (pts) Find the probability the person is sick given that the test is positive (3 pts) Find the probability the person is not sick given that the test is negative. f. (5 pts) When we say a test is 99% accurate, to what is that referring? Given vour calculations, should information other than a single test be considered when diagnosing a rare condition? If so, what other information might be considered? Criteria for Success
Probabilities are used to determine the chances of an event
The probability that a person is sick is: 0.008The probability that a test is positive, given that the person is sick is 0.9833The probability that a test is negative, given that the person is not sick is: 0.9899The probability that a person is sick, given that the test is positive is: 0.4403The probability that a person is not sick, given that the test is negative is: 0.9998A 99% accurate test is a correct test(a) Probability that a person is sick
From the table, we have:
[tex]\mathbf{Sick = 59+1 = 60}[/tex]
So, the probability that a person is sick is:
[tex]\mathbf{Pr = \frac{Sick}{Total}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{60}{7500}}[/tex]
[tex]\mathbf{Pr = 0.008}[/tex]
The probability that a person is sick is: 0.008
(b) Probability that a test is positive, given that the person is sick
From the table, we have:
[tex]\mathbf{Positive\ and\ Sick=59}[/tex]
So, the probability that a test is positive, given that the person is sick is:
[tex]\mathbf{Pr = \frac{Positive\ and\ Sick}{Sick}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{59}{60}}[/tex]
[tex]\mathbf{Pr = 0.9833}[/tex]
The probability that a test is positive, given that the person is sick is 0.9833
(c) Probability that a test is negative, given that the person is not sick
From the table, we have:
[tex]\mathbf{Negative\ and\ Not\ Sick=7365}[/tex]
[tex]\mathbf{Not\ Sick = 75 + 7365 = 7440}[/tex]
So, the probability that a test is negative, given that the person is not sick is:
[tex]\mathbf{Pr = \frac{Negative\ and\ Not\ Sick}{Not\ Sick}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{7365}{7440}}[/tex]
[tex]\mathbf{Pr = 0.9899}[/tex]
The probability that a test is negative, given that the person is not sick is: 0.9899
(d) Probability that a person is sick, given that the test is positive
From the table, we have:
[tex]\mathbf{Positive\ and\ Sick=59}[/tex]
[tex]\mathbf{Positive=59 + 75 = 134}[/tex]
So, the probability that a person is sick, given that the test is positive is:
[tex]\mathbf{Pr = \frac{Positive\ and\ Sick}{Positive}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{59}{134}}[/tex]
[tex]\mathbf{Pr = 0.4403}[/tex]
The probability that a person is sick, given that the test is positive is: 0.4403
(e) Probability that a person is not sick, given that the test is negative
From the table, we have:
[tex]\mathbf{Negative\ and\ Not\ Sick=7365}[/tex]
[tex]\mathbf{Negative = 1+ 7365 = 7366}[/tex]
So, the probability that a person is not sick, given that the test is negative is:
[tex]\mathbf{Pr = \frac{Negative\ and\ Not\ Sick}{Negative}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{7365}{7366}}[/tex]
[tex]\mathbf{Pr = 0.9998}[/tex]
The probability that a person is not sick, given that the test is negative is: 0.9998
(f) When a test is 99% accurate
The accuracy of test is the measure of its sensitivity, prevalence and specificity.
So, when a test is said to be 99% accurate, it means that the test is correct, and the result is usable; irrespective of whether the result is positive or negative.
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Given the function f(x) = -5|x + 11 + 3, for what values of x is f(x) = -12?
O x= -2, x= -4
O x= -2, x = 4
O x= 2, x= 4
O x = 2, x = 4
Answer: B
Step-by-step explanation:
Which expression has the greatest value 49.2,49-16,25+16,25.3
When you roll a pair of dice, there are several outcomes, as shown below:
When rolling the dice, the outcome is expressed as a sum of the two dice. For
example, if after you rolled the dice, and one die was a 3 and the other was a 4, you
will have rolled a 7.
Select all of the TRUE statements below. There may be more than one.
The probability of rolling the same digit with each die is 1/4.
The odds in favour of rolling a 10 is 1:13.
The odds against rolling a number less than 7 is 7:5.
Answer:
M
Step-by-step explanation:
M
M
M
M
M
I
L
K
if ab=2√3 then find the value of a^4+b^4
Answer:
umm wait
Step-by-step explanation:
Answer:
Step-by-step explanation:
Helene, who drives a cab, is paid $250 per week. She averages $75 per day in tips. About how much does she earn per 5 day work week?
Whats the difference between a closed eye and an open eye in algebra
Answer:
If the inequality is "strict" ( < or > ), we use an open dot to indicate that the endpoint of the ray is not part of the solution. For the other types of inequalities ( ≤ and ≥ ), we use a closed dot to indicate that the endpoint is part of the solution.
Step-by-step explanation:
3. The cost of a taxi ride is the sum of a fixed cost of $2,50 for the first kilometer, plus
$175 for each additional kilometer,
a. White an equation that relates the cost of the taxi ride, Fdollars, to the distance
travelled,
Determine the cost of a 28km taxi ride. Show all the math!
Answer:
y=2.50+175*(x-1)
$4727.50
Step-by-step explanation:
y=2.50+175*(x-1)
The first km costs 2.50 which is why you add it. You do x-1 because the 175 is charged for each additional km. So, if you traveled one km it would cost 2.50.
y=2.5+175*(28-1)
y=2.5+175*27
y=2.5+4725
y=$4727.50
Commutative property of multipcation 3x4=12
Answer:
3x4=12 is the same as
4x3=12 and
12/3=4 and
12/4=3
The commutative property of multiplication is true for the expression 4 x 3 = 3 x 4 = 12.
What is multiplication?Multiplication is one of four mathematical arithmetic operations.
It is also a process of adding the same types of expression for some number of times.
The repeated addition is multiplication.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
The commutative property of multiplication:
Let a and b are the two numbers.
And the product of a x b is n.
So, a x b = b x a = n
Changing the numbers position does not affect the result.
Here,
3 x 4 = 4 x 3
12 = 12
This expression holds the commutative property of multiplication.
Therefore, 3 x 4 = 12 holds the commutative property.
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HELP ME ON THIS QUESTION 10 POINTS PLZ
Answer:
0.5 or 1/2
Step-by-step explanation:
-1+3[(10-12)^3÷(-16)]
(10-12)^3÷(-16)
(-2)^3=-8
-8÷(-16)=0.5
Help me with this please ;(
Answer:
5 cubes , so 5 cubic units
Step-by-step explanation:
There are 5 cubes in this figure.
Since each cube is a cubic unit, the answer is 5 cubic units.
-Chetan K
20 Gina solved the inequality below.
16 > 2y - 4
What is the solution to Gina's inequality?
Answer:
tysm
Step-by-step explanation:
salamat sa points tysm
Which situation represents the greatest percent of increase?
a. Original: 60
New: 75
b. Original: 140
New: 200
c. Original: 900
New: 1000
d. Original: 30
New: 60
Answer:
d because it incresed by 50binstead of 13 12 and 23 percent
The sum of the speeds two trains is 717.6 miles per hour. If the speed of the first train is 6.4 mph faster than that of the second train, find the speeds
of each.
What is the speed of the first train?
Train 1 = x + 6.4
Train 2 = x
(x) + (x + 6.4) = 717.6
2x + 6.4 = 717.6
2x = 711.2
x = 355.6
Train 1 = 355.6 + 6.4 = 362 mph
Train 2 = 355.6 mph
Hope this helps!! :)
What is the image of the point (-9, -1) after a rotation of 270° counterclockwise
about the origin?
Answer:
(1,-9)
Step-by-step explanation:
During rotation anytime you rotate the figures the arrangement will change and also since you are rotating to 270 counter-clockwise(anti-clockwise)your answer will be (1,-9)
Answer: The correct answer is -1,9
Step-by-step explanation:
270 rule - (x, y) ⇒ (y, -x)
(-9, -1) ⇒ (-1, 9)
Y+2=-(x+4) in slope intercept form
Answer:
y=-x-6
Step-by-step explanation:
First, you have to distribute the - that is outside the parentheses. That leaves you with -x-4. So now your equation is y+2=-x-4. You want the y by itself so you subtract two from both sides leaving you with y=-x-4-2, which adds up to y=-x-6.
I NEED HELP ON THIS 10 POINTS
Answer:
-x-x-0.7
is equivalent to 1-2x-1.7
Help me please is is odd or even or neither?
Answer:
it's odd
Step-by-step explanation:
sysysysy character limit
9514 1404 393
Answer:
odd
Step-by-step explanation:
An odd function has the characteristics ...
symmetrical about the originf(-x) = -f(x)An even function has the characteristics ...
symmetrical about the y-axisf(-x) = f(x)__
The graph of the function shows symmetry about the origin. If we substitute -x for x, we get ...
[tex]h(-x)=\dfrac{3(-x)^3}{8(-x)^2-9}=\dfrac{-3x^3}{8x^2-9}\\\\h(-x)=-\dfrac{3x^3}{8x^2-9}=-h(x)\qquad\text{the function is odd}[/tex]
_____
Additional comment
Both the numerator and denominator are polynomial functions. A polynomial function is odd if it contains only odd-degree terms, like the function in the numerator. A polynomial function is even if it contains only even-degree terms, like the function in the denominator. (A constant is 0 degree--even.)
A rational function consisting of the ratio of odd or even functions (not "neither"), will be odd or even according to the parity of the ratio:
odd/odd = even/even = even function
odd/even = even/odd = odd function . . . . . the situation in this problem
Marie is reading a 271-page book. She has already read 119 pages. She uses the equation 119+8h=271 to find out how long it will take her to finish the book if she reads at about 8 pages per hour.
Solve for h.
Answer: the answer is 19
Step-by-step explanation:okay so she already have read 119 pages and the total pages is 271 so we substract 271-119=152 so she has 152 pages left so we divide 152 pages divided by 8 because she read 8 pages per hour so 152/8=19
Problem Set
100 yd. =
Answer:
1 yard = 3 feet
We can re-write this by dividing both sides by yards or feet to get
1 = 3 feet / 1 yard
or
1 yard / 3 feet = 1
Since we're solving for feet we want yards to cancel, so use the top proportion
(3 feet / 1 yard)(100 yards) = 300 feet / 1 = 300 feet
Which number is closest to the square root of 84 ?