Answer:
The sum of the inverses of two rational numbers is 5 by 6, and the difference of the inverses of the numbers is 1 by 6. Calculate the sum and product of numbers.
Sum = a + b = 5
Product = a ₓ b = 6
Step-by-step explanation:
[tex]\frac{1}{a} +\frac{1}{b} =\frac{5}{6}[/tex]
[tex]\frac{1}{a} -\frac{1}{b} =\frac{1}{6}[/tex]
Add both equations together
[tex]\frac{1}{a} +\frac{1}{a} +\frac{1}{b} -\frac{a}{b} =\frac{5}{6} +\frac{1}{6}[/tex]
2 / a = 6/6
2 / a = 1
a = 2
we replace in any relation a
1 / 2 + 1 / b = 5 / 6
3b + 6 = 5b
5b - 3b = 6
2b = 6
b = 3
Sum = a + b = 2 + 3 = 5
Product = a ₓ b = 2 ₓ 3 = 6
HELP PLEASE!!
There are 12 students in a class: 7 boys and 5 girls. If the teacher picks a group of 5 at random, what is the probability that everyone in the group is a boy?
Answer:
0.027Step-by-step explanation:
The number of groups of 5 boys that we can have from 7 boys is 7C5 = 21
The number of groups of 5 boys that we can have from 12 students is
12C5 = 792
then the probability = 21/792 = 0.026515151515
by the way you can calculate 12C5 and 7C5 using a calculator.
Solve the equation using the quadratic formula: 2x^2-5x+2=0
Answer:
x= 2, 1/2
Step-by-step explanation:
x= b±√b²-4ac/2a
x = [5±√(-5)²-4·(2·2)]/2·2
x = (5±3)/4
x= 2, 1/2
Help please
If steak costs $8.45 per pound, what will be the total cost of 0.8 pounds of steak?
Answer:
$6.76
Step-by-step explanation:
Multiply 8.45 by 0.8 and you will get 6.76
Which set of numbers is correctly ordered from least to greatest?
24 x 63
5.7 15.758,956 V
63
24 x
S
15.758
4.956 Ve
9566 15.753, 24, 49
63
956 /
15.758
24 x
5
Answer:
The set of numbers that is correctly ordered from least to greatest is 5.7, 15.758, 24, 49, 63. Is there anything else you would like to know?
Enter all answers to the nearest tenth.
A day care program has an average daily expense of $75.00. The standard deviation is $5.00. The owner takes a sample of 64 bills. What is the probability the mean of his sample will be between $70.00 and $80.00?
Step 1. Calculate a z-score for $70.00 -
Step 2. Give the probability for step 1. %
Step 3. Calculate the z-score for $80.00 +
Step 4. Give the probability for step 3. %
Step 5. Add the probabilities from steps 2&4. %
Answer:
What is the probability the mean of his sample will be between $70.00 and $80.00? = 64/64 =1
s1) = 99% =z score = 127/128
s2)64/64 = 1
s3)95% of 64 = 123/128
s4) p) step 3 = 95% of 64 = 60.08 /64 = 60/64 = 93.75%
s5) P)of 2+4 = 283/292 = 96.92%
Pi ends after how many decimal places?
Answer:
31.4 trillion decimal places but no one really knows how many decimal places there are. 31.4 trillion decimal places is a world record set by google
Step-by-step explanation:
Answer:
`31.4 trillion decimal places.
Explanation:
As far as we know Google found out that there is about 31.4 trillion decimal places which is rounded to 3.14. Google is not 100% accurate though, Pi is a mathematical number that never ends so we just use what we know which is 3.14. Pi is an ideal that in numerical terms can be approached, but never reached. In order to calculate Pi simply involves taking any circle and dividing its circumference by its diameter. William Jones is the "founder" of Pi in 1706. Jones was a British little-known mathematics teacher, Jones was the first person to use a symbol to represent the platonic concept of Pi.
I hope this helps. : )
what is the inequality
Answer:
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. a ≠ b says that a is not equal to b. a < b says that a is less than b. a > b says that a is greater than b.
How much will the guitar be worth in 10 years?
Answer:
$44487
Step-by-step explanation:
If you plug in 10 for t, you are left with the following equation:
[tex]V=12000(1.14)^{10}=12000\cdot 3.7072\approx 44487[/tex]. Hope this helps!
Answer: $44,487
Step-by-step explanation:
To solve this, substitute t (the variable for time in the equation) with 10 to represent the value of the guitar after 10 years.
[tex]V = 12000(1.14)^{10}\\V = 12000*3.7072\\\\V = 44487[/tex]
The guitar will be worth $44,487 in 10 years.
Use the diagram below to find the distance between points (-6, 5) and (-1, -7).
A. 13 units
B. 19 units
C. 6 units
D. 17 units
Answer:
A. 13 units
Step-by-step explanation:
using distance formula
(x2-x1)^2 + (y2-y1)^2 in roots
(-1+6)^2 + (-7-5)^2 in roots
5^2 + 12^2 in roots
25 +144 in roots
169 in roots
13 units
What is the answer to this question?
Answer:
The answer is 480 in^3
Step-by-step explanation:
Right rectangular prism calc - find V
volume = h * w * l where h is prism height, w is its width and l its length.
The shark dove down 48 feet in 6 minutes. How many feet did the shark dive down per minute?
Answer:
8 ft per minute
Step-by-step explanation:
Take the number of feet and divide by the number of minutes
48 ft / 6 minutes
8 ft per minute
Mario writes the equation (r + y)2 = z2 + 4(1/2ry) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why this is a true equation.
Answer:
x+y
Z2
1/2xy
Step-by-step explanation:
(x+y)^2 finds the area of the outer square by squaring its side length.
z^2 + 4 (1/2xy) finds the area of the outer square by adding the area of the inner square and the four triangles.
Which statement best summarizes the main idea of the above passage from
"An Indian Father's Plea"?
A. Wind-Wolf learned much of what he learned from public school.
B. Wind-Wolf has a different educational background than many
other children.
O C. Wind-Wolf looks and acts differently than the other children in his
school.
D. Wind-Wolf will often answer questions at school using answers
he learned from those in his tribe.
Answer:
Had to look for the missing passage and here is my answer. Based on the passage from "An Indian Father's Plea", I can say that the statement that shows the best summary about this is option D: Wind–Wolf has begun denying his native culture because it conflicts with his school culture. Hope this helps.
Step-by-step explanation:
Bruce and Krista are going to buy a new furniture set for their living room. They want to buy a couch, a coffee table, and a recliner. They have narrowed it down so that they are choosing between 4 couches, 5 coffee tables, and 9 recliners. How many different furniture combinations are possible?
Answer:
There are 180 possible combinations for the furniture.
Step-by-step explanation:
4*5*9=180
Answer
180 combinations
Step-by-step explanation:
To figure out the number of combinations, we multiply 4*5*9. 4*5 equals 20 and 20*9 equals 180.
4 blue marbles, 3 green marbles, 7 yellow marbles, and 2 red marbles are in a bag. What is the probability of drawing a blue marble, putting it back in, then drawing a red marbe?
Answer:
0.375 in fraction is 38.
4/16 + 2/16 = 0.375
Step-by-step explanation:
A circle has a circumference of 150 meters. What is the measure of its radius? Round
to the nearest tenth.
circumference 150 m
Answer:
23.9 is the radius
Step-by-step explanation:
150/3.14 =47.7707006369
47.7707006369/2 = 23.8853503185
Round to nearest tenth = 23.9
Hope this helps!
Answer:
23.9
Step-by-step explanation:
Pentagon ABCDE is rotated 90 degrees counterclockwise about the origin to form pentagon A’ B’ C’ D’ E’. What is the y-coordinate if point C’?
Answer:
4
Step-by-step explanation:
When rotating a point 90 degrees counterclockwise about the origin the point A(x,y) becomes A'(-y,x).
Point C has coordinates of (4, 3)
New coordinates will be C'(-3, 4)
So the answer is:
y-coordinate of C' is 4
Answer:
4
Step-by-step explanation:
Hope this helped!
What's the numerator for the following rational
expression?
7/v+3/v=?/v
Answer:
54inches 43inches are the 53364inches rye 5t337 the earth stud is 37feet of the 368feet
Answer:
10
Step-by-step explanation:
they all have the same denominator so the only focus is adding the 7+3
Mr. Eichmann 's salary is $42,000. This year, he receives a raise of 7%. What will be his salary this year?
Find the exact solution of the equation. 7^x=8
Answer:
[tex] log_{7}(8) [/tex]
2. Simplify.
–48
O A. 4213
OB. -4213
O C.-4v3
OD. 4V3
helpppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
answer ALL
Answer:
Use Desmos for the graphs, symbolab for the inequalities answers.
Step-by-step explanation:
Use the given circle. Find the length s to the nearest tenth.
a) 10.5 in
b) 5.2 in
c) 3.3 in
d) 20.9 in
Answer: its A
Step-by-step explanation:
Any smooth curve connecting two points is called an arc. The length of arc s to the nearest tenth is 10.5 in.
What is the Length of an Arc?Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,
[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]
where θ is the angle, which arc creates at the center of the circle in degree.
The length of the given arc s, with an angle made at the center equal to (2/3)π and radius of 5 inches can be represented as,
[tex]\text{Length of Arc} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]
[tex]\text{Length of Arc s} = 2\pi \times (5)\times \dfrac{\frac23\pi}{2\pi}[/tex]
[tex]=10.472\approx 10.5\rm\ in[/tex]
Thus, the length of arc s to the nearest tenth is 10.5 in.
Learn more about Length of an Arc:
https://brainly.com/question/1577784
Michael has $10 in his savings account. Option 1 will add $100 to his account each week. Option 2 will double the amount in his account at the end of each week. Michael wants to have at least $700 in his account at the end of 7 weeks to buy a mountain bike.
Answer:
i am thinking option 1
Step-by-step explanation:
i may be wrong if i am correct me
Pythagorean Theorem: How many yards will the players have to run?
Answer:
≈ 125.3
Step-by-step explanation:
If we're using the Pythagorean Theorem to solve this, then the formula is:
[tex]a^{2}+ b^{2} =c^{2}[/tex]
So basically, by using this formula, you're finding the length that the soccer players will run diagonally. Plug in the numbers:
[tex]110^2 + 60^2 = c^2[/tex]
12100 + 3600 = [tex]c^2[/tex]
15700 = [tex]c^2[/tex]
Take the square root:
15700 = [tex]c^2[/tex]
[tex]\sqrt{15700} = \sqrt{c^2}[/tex]
125.3 ≈ c
Five-sixths of a number is 45.
Find the number.
Answer: The number is 54!!!
Hope it helps!!!
Step-by-step explanation:
Let's call the number x.
So, 5/6 (of or multiplication) = 45
5x = 45* 6
x = 270/5
x = 54
The function g(n) = n2 − 16n + 69 represents a parabola.
Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)
Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)
Part C: Determine the axis of symmetry for g(n). (2 points)
Answer:
Step-by-step explanation:
A) y + ? = n^2 - 16n + ? + 69
y + 64 = n^2 -16n + 64 + 69
y + 64 = (n-8)^2 + 69
y = (n-8)^2 + 5
B) vertex is (8,5) because the value of a vertex is always (h,k) from the parent vertex function:
y = a(x-h) + k
it's a minimum only because the (a) value is positive
C) axis of symmetry = 8
Identify the value of r and a1 for each geometric
series.
8 + 4 + 2 + 1 + ...
Answer:
Step-by-step explanation:
Answer:A,E
second part 1.5,2. .5,8
Step-by-step explanation:
Find the range of the data in the box plot below.
Answer:
Range: 20
General Formulas and Concepts:
Statistics
Range - the difference between the highest and lowest pointStep-by-step explanation:
Step 1: Define
Find values from box-and-whisker plot.
Highest point recorded = 25
Lowest point recorded = 5
Step 2: Find Range
Set up: 25 - 5Subtract: 20which statement must be true
Answer:
(C)
Step-by-step explanation:
AD and BC are parallel to each other. They are the same distance but they never touch.
Your best answer would be C.
Brainilest appreciated.
