Answer:
The answer to b is 22.5 hands is 3 paces
Step-by-step explanation:
I did it because nobody else would
We want to find equations for changes of units, which allow us to change the units of a given measure to an equivalent value.
a) [tex]C = H*\frac{2c} {9h}[/tex]
b) [tex]P = H*\frac{6p}{45h}[/tex]
--------------------------------
We know two relations:
9 hands = 2 cubits.5 cubits = 3 paces.a) We want to find an equation to express the relationship between hands, h, and cubits, c.
Let's start with the relation:
9 hands = 2 cubits
we can rewrite:
[tex]1 = (2 c)/(9 h)[/tex]
Now suppose that we have a measure in hands, H.
If we multiply this measure by 1, we do not affect the measure, then we have:
[tex]H = H*1 = H*\frac{2c}{9h}[/tex]
Notice that we are dividing by hands, so we are cancelling the hands units, and we are multiplying by cubits, so we changed the units.
Then we can define C as the equivalent measure to H, such that C is in cubits.
[tex]C = H*\frac{2c}{9h}[/tex]
b) Similar to before.
Again, let's use H as a measure in hands.
With the relation:
[tex]C = H*\frac{2c}{9h}[/tex]
We change from hands to cubits.
Now with:
5 cubits = 3 paces.
We can write:
1 = 3p/5c
If we multiply our measure in cubits by the above fraction, we can change the units from cubits to paces, so we will have that P, the equivalent measure to H in paces is given by:
[tex]P = C*\frac{3p}{5c} = H*\frac{2c}{9h}*\frac{3p}{5c}= H*\frac{6p}{45h}\\\\P = H*\frac{6p}{45h}[/tex]
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Maggie's brother is 4 years younger than four times her age. The sum of their ages is 26.
How old is Maggie?
Maggie is___________
years old.
Answer:
Maggie is 6 years old
Step-by-step explanation:
M + B = 26
B = 26 - M
4M - 4 = B
4M - 4 = 26 - M
5M = 30
M = 6
Maggie is 6 years old
Scientists were monitoring the temperature of a solution. It began at 63°F, and the temperature changed by 8°F over the course of 6 hours.
The final temperature of the solution was a minimum of __°f and a maximum of __°f
Answer:55&71
Step-by-step explanation: The 6 hours is unnecessary info. 63-8=55 and 63+8=71.
The final temperature have the minimum should be 55 and the maximum should be 71.
Calculation of the minimum & maximum:Since It began at 63°F, and the temperature changed by 8°F over the course of 6 hours.
So here the minimum should be
= 63-8
= 55
And, the maximum should be
= 63 + 8
= 71
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Subtract – 7x + 6 from – 2x^2 + 9x-2
Answer:-2x^2+16x-8
Step-by-step explanation:
the other person subtracted backwards ♀️
(2x+5)* (8x+5)* Help help help
Answer:
16x^2 + 50x + 25 would be your answer.
help?? Thank u if you do help btw!
Answer:
10,000lbs
Step-by-step explanation:
There are 2000lbs in 1 ton
So
5 x 2000 = 10000lbs
Answer:
10,000 pounds is the the correct answer
Out of the 50 people interviewed 6 people said Spider-Man was their favorite super hero, What percent of people said that Spider-Man was their favorite superhero?
Favorite Superhero
IronMan
Spider-Man
The Hulk
Batman
Superman
Thor
Answer:
Twelve percent.
Step-by-step explanation:
6:50 x 2 = 12:100 or 12%. Hope this helps!
3x + 1/2y = 3 and 6x - y = 2 (use elimination with multiplication to solve)
Answer:
i prefer substitution methon for this one
i really prefer try using that24
Let f(x) = 3x - 2. Find f(-2). (1 point)
O 1) -6
2) -3
3) 3
4) 6
Answer:
f(-2) = - 8Step-by-step explanation:
f(x) = 3x - 2
In order to find f(-2) , substitute the value of x that's - 2 into f (x) that is for every x in f (x) replace it with - 2
So we have
f(-2) = 3(-2) - 2
= - 6 - 2
We have the final answer as
f(-2) = - 8Hope this helps you
List all the sets that the number -6 belongs to.
Answer:
Integers
Step-by-step explanation:
Last year, Mrs. Sclair's annual salary was $88,441. This year she
received a raise and now earns $96,402 annually. She is paid weekly.
a. What was her weekly salary last year?
b. What is Mrs. Sclair's weekly salary this year?
c. On a weekly basis, how much more does Mrs. Sclair earn as a result
of her raise?
Answer:
A. she made $1,694.92 weekly last year
B.she makes $1,847.49 weekly this year
C. she makes $152.57 more weekly this year than ast year.
Step-by-step explanation:
a ) Her weekly salary last year is $1842
b ) Mrs Sinclair's weekly salary this year is $2008.375
c ) On a weekly basis, Mrs Sclair's earn as a result of her raise is $158.37
What is the salary?The amount of money paid by any company to their employees on a weekly or monthly basis is called a salary.
Given that:
Last year, Mrs Sclair's annual salary was $88,441. This year sheReceived a raise and now earn $96,402 annually.a ) Her weekly salary last year is $1842
Annual salary = $88441
Weekly salary = 88441 / 48 = $1842
b ) Mrs Sinclair's weekly salary this year is $2008.375
Annual salary = $ 96,402
Weekly salary = 96,402 / 48 = $2008.137
c ) On a weekly basis, Mrs Sclair's earn as a result of her raise is $158.37
= 2008.137 - 1842
= $158.37
Therefore Her weekly salary last year is $1842, Mrs Sinclair's weekly salary this year is $2008.375, On a weekly basis, Mrs Sclair's earn as a result of her raise is $158.37
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What is the domain of the relation given by the ordered pairs?
(2,-1), (-4, 1), (-2,-1), (3,-3), (2,3)
O (-4,-2,2,3)
O (-3,-1, 1,3)
O(-4,-1, 1,3)
O (-3,-2,1,3)
Answer:
{-4, -2, 2, 3}
Step-by-step explanation:
The domain is the set of first numbers in the pairs, so includes 2, -4, -2, 3, 2. When we write this as a set, we eliminate duplicates. Often, we list them in order: {-4, -2, 2, 3}
If 20% of a number is 720 what is the 50% of that same number
Answer:
1,800
Step-by-step explanation:
The measure of the supplement of an angle is twice the measure of the angle. What is the measure of each angle?
Answer:
120° and 60°
Step-by-step explanation:
Suplementary angles sum 180°
then:
a + b = 180°
b = 2a
then:
a + 2a = 180°
3a = 180°
a = 180/3
a = 60°
b = 2a
b = 2*60
b = 120°
Check:
120° + 60° = 180°
Review the graph of function h(x). Which point is on the graph of the inverse function h–1(x)?
A. (2, 4)
B. (0, one-half)
C. (0, 1)
D. (–5, 1)
Answer:
C
Step-by-step explanation:
Point (0, 1) is on the graph of the inverse function h⁻¹(x).
What is an Inverse Function?If f(x) is an original function with output y, then we can get inverse of the original function by putting y in the inverse function to obtain x.The domain of original function becomes the range of its inverse function and the range of the original function becomes the domain of its inverse function.Given: The graph of function y = h(x).
According to the graph, the function is a straight line:
y-intercept is (c) = 2
Consider two points on the graph, y = h(x).
Let (x₁, y₁) = (0, 2) and (x₂, y₂) = (2, -2).
Now, the slope (m) of the function will be calculated as:
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (-2 - 2) / (2 - 0)
⇒ m = -2
Now, with c = 2 and m = -2 the equation of a given line will be calculated as:
The general equation of line is:
⇒ y = mx + c
⇒ y = -2x + 2
∴ y = h(x) = -2x + 2 is the given equation of line.
Now to find the h⁻¹(x), we have to interchange the values of x and y from the function h(x) and then obtain the relation for the general equation of line.
h⁻¹(x) will be calculated as:
⇒ x = -2y + 2
⇒ x - 2 = -2y
⇒ y = (2 - x)/2
∴ y = h⁻¹(x) = (2 - x)/2
Now, we will find which point is on the graph of h⁻¹(x).
Option (A): (2, 4)
put, x = 2 in the equation y = (2 - x)/2
⇒ y = 0
⇒ (2, 0) ≠ (2, 4)
∴ (2, 4) is not the point on h⁻¹(x).
Option (B): (0, 1/2)
put x = 0 in the equation y = (2 - x)/2
⇒ y = 1
⇒ (0, 1) ≠ (0, 1/2)
∴ (0, 1/2) is not the point on h⁻¹(x).
Option (C): (0, 1)
put x = 0 in the equation y = (2 - x)/2
⇒ y = 1
⇒ (0, 1) = (0, 1)
∴ (0, 1) is the point on h⁻¹(x).
Option (D): (–5, 1)
put x = -5 in the equation y = (2 - x)/2
⇒ y = 3.5
⇒ (-5, 3.5) ≠ (–5, 1)
∴ (–5, 1) is not the point on h⁻¹(x).
Therefore, the point on the graph of the inverse function of h⁻¹(x) is (0, 1).
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Which of the following lines is parallel to x = 7? (2 points)
a. 3y = 7
b. y = 7
c. X = y
d. X = 4
Grace read 9 books in 3 months what was her rate of reading Books per month
Answer:
3 books per month
Step-by-step explanation:
9 books ÷ 3 months = 3 books per month :)
Solve for u.
M=1/6uh
Multiply both sides by 6:
6M = uh
Then divide both sides by h:
u = (6M)/h
3. Write the number below in standard form: (3.N
one hundred three thousand, forty-seven
Answer:
103,047
I hope this helped.
Answer:
103,047
Step-by-step explanation:
good luck with any other questions
Find the slope of 10y = 7x + 5.
Round to the third.
Answer:
0.7
Step-by-step explanation:
10y = 7x + 5
Divide both sides by 10.
y = 7x/10 + 5/10
y = 0.7x + 0.5
On a straight line of the form y = kx + m, k is the slope of the line.
In our line, y = 0.7x + 0.5, k is 0.7. Thus, the slope of our function is 0.7
Answer: 0.7
EASY MATH QUESTION! WILL GIVE BRAINLIEST! (MUST EXPLAIN HOW YOU GOT YOUR ANSWER!) By the end of the first quarter of a football game, Gary had gained 42 yards and had lost 9 yards. Gary lost an additional 18 yards and gained 58 yards in the second quarter. Write an equation to represent his total yardage for the first half of the game.
Answer:
+73 yards.
Step-by-step explanation:
Since we have the first two quarters, we can simply work out the yardage for each game and add them together to get the total.
42-9 = 33 (first game)
58-18 = 40 (second game)
Therefore his total yardage was +73.
Please I need help !!
A baseball travels at an average rate of speed of 5280 feet per minute. At this rate of speed, how many feet will the ball travel in 5 seconds? Select one: a. 88 b. 440 c. 1056 d. 63,360
Answer:
440
Step-by-step explanation:
Does the number 404,500 have 6 significant figures?
Answer:
It has 4 significant figures, not 6
Step-by-step explanation:
4045 are the significant figures here
Answer:
4
Step-by-step explanation:
well cause it four numbers so i dont think its six
Could someone please solve this and explain their answer? 2x+39<9
Step-by-step explanation:
i hope you understood....
A class field trip to the bowling alley costs $7 per students. If 412 students attend
the trip, how much money would the trip cost? *
Answer:$2,884
Step-by-step explanation:
Answer:
I think the trip would cost 2,884
Step-by-step explanation:
7×412=2,884
Find the slope of the line through the pair of points. (-6,10) and (8,5) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. QA (Type an integer or a fraction. Simplify your answer.) OB. The slope is undefined
Pleaseee help !!
If the temperature is predicted to be -1°F, but could be 10 degrees colder, what is the least
possible temperature?
А
-11°F
B
-6°F
с
-1°F
D
9°F
Answer:
-11°F
Step-by-step explanation:
when it is cold temperatures lower
-1°F-10°F= -11°F
Which numbers are irrational?
a. 11
b. Square root of 15
C. -14
d. 5/7
e. 9/4
f. 0.151155111555....
Answer:
the answer is b and f I believe
The point A (-10,-5) has undergone the transformation T3, -1. Which point is the preimage of A?
a. (-13, -6)
b. (-13, 4)
C. (-7,-6)
d. (-7, 4)
EA-2
Answer:
C. (-7, -6)
Step-by-step explanation:
-10+3=-7
-5+(-1)= -5-1= -6
4. Six workers are hired to weed a field by
hand. Each is given a plot which is 9x11
feet in size. What is the total area of the
field?
Answer:
594 square feet
Step-by-step explanation:
Area of a rectangle is length times width. We can find the area of each workers plot by multiplying 9 and 11 to get 99 sq feet. There is six workers, and therefore six plots of land, so we'd take our 99 sq feet and count that six times to get 594 square feet.
Answer:
594 square feet
Step-by-step explanation:
