Answer:
a) If both the numerator and the denominator are increased by 2, the fraction becomes?
= 4/5
b) What is the original fraction?
= 2/3
Step-by-step explanation:
The ratio of the numerator to the denominator of a fraction is 2 to 3.
a) If both the numerator and the denominator are increased by 2, the fraction becomes .
2:3 = 2/3
We are told that both numerator and denominator are increased by 2, hence:
2 + 2/3 + 2
= 4/5
b) What is the original fraction?
The ratio of the numerator to the denominator of a fraction is 2 to 3.
Hence, the original fraction is:
2:3 = 2/3
PLEASE HELP ME WITH THIS
Elijah started a college fund of $25,000 for a term of five years.The interest rate is 2.9 percent annually.How much interest will he have earned at the end of the term?
Answer:
Interest = Principal x rate x time
I = 25000(.029)(5) = $3,625
Step-by-step explanation:
If 3/5vof a cup of water fills 3/4 of a plastic container, how much water, in cups, is needed to fill one whole container?
Answer:
3/5 3/4
3/5*4/3=12/15=4/5
4/5 cups of water
because 4/3 is the reciprocal of 3/4 and so 3/4*4/3=1
Can you please help me:(
1. Given the production function: Q = A L½ K½ What returns to scale, does this function exhibit? Why?
Answer:
a. This function therefore exhibits a constant return to scale.
b. The reason is that the sum of the exponents of the multiplicative factor a is equal to 1.
Step-by-step explanation:
The given production function is first correctly stated as follows:
Q = A L^½ K^½ .......................... (1)
In order to know the returns to scale this function exhibits, the input K and L are scaled by the multiplicative factor a which is included in equation (1) as follows:
Q = A (aL)^½ (aK)^½
Q = A a^½L^½ a^½K^½
Q = A a^½ a^½ L^½ K^½
Q = A a^(½+½) L^½ K^½
Q = A a^1 L^½ K^½ ......................... (2)
Based on the equation (2), we now answer the following questions:
a. What returns to scale, does this function exhibit?
This function therefore exhibits a constant return to scale.
b. Why?
The reason is that the sum of the exponents of the multiplicative factor a in equation (2) is equal to 1.
What is the composition of the translations (T ∘ T ) (x, y) as one translation
Answer:
Step-by-step explanation:
Plz help on this there is
A 750
B140
C50
D40
Answer:
B. 140
Step-by-step explanation:
With this chart, you must know the fundamentals of the angles. In this case, angle c and e are supposed to equal to 180. In the question, it gives us both the formulas for both angles. So adding them up to 180 will give us x
(x - 10) + (2x + 40)
with a trusty calculator, you will get
= 3x + 30
Now equal this equation to 180
3x + 30 = 180
3x = 180 - 30
3x = 150
Now divide 150 to 3
150 divided by 3 = 50
x = 50
Now just add the x to the angle c
2(50) + 40
=140
To further check if its correct, add the x to angle e
(50) - 10
=40
140 +40 = 180
So the answer would be 140
Write an expression in simplest form the perimeter of the figure ?
Answer:
4+11a+8b
Step-by-step explanation:
1) 4+3a+2b+6b+5a+3a
2) 3a+3a+5a=11a. 2b+6b=8b
midpoint between 10,0
Answer:
The correct answer is 5
Step-by-step explanation:
What is the area?
Please help
Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
1/a^2-3a+2 + 1/a^2-5a+6 + 2/a^2-8a+15
Answer:
[tex]\frac{4+16a^3+23a^3}{a^2}[/tex]
Step-by-step explanation:
Given
[tex]1/a^2-3a+2 + 1/a^2-5a+6 + 2/a^2-8a+15[/tex]
Required
Simplify
[tex]1/a^2-3a+2 + 1/a^2-5a+6 + 2/a^2-8a+15[/tex]
Collect Like Terms
[tex]1/a^2 + 1/a^2 + 2/a^2-3a-5a-8a+2+6+15[/tex]
[tex]1/a^2 + 1/a^2 + 2/a^2-16a+23[/tex]
Add Fractions:
[tex]\frac{1+1+2}{a^2} + 16a + 23[/tex]
[tex]\frac{4}{a^2} + 16a + 23[/tex]
This can be further expressed as:
[tex]\frac{4+16a^3+23a^3}{a^2}[/tex]
_____ is 1/10 of 0.07?
I have no idea what the blank is...help me. :(
Ill give brainly for the best one hurry!
Answer:
20
Step-by-step explanation:
20 may be answer for this may be
PLEASE HELP will mark brainlist for right answer!!!!!!!
If you just want the points I will report!
Answer:
x= 56 x= 89
Step-by-step explanation:
If f(x) = 2/3x^2 +8 , what is the value of f(6)?
Answer:
f(6) = 32
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 2/3x² + 8
f(6) is x = 6
Step 2: Evaluate
Substitute in x: f(6) = 2/3(6)² + 8Exponents: f(6) = 2/3(36) + 8Multiply: f(6) = 24 + 8Add: f(6) = 32Answer:
f(6)= 72
Step-by-step explanation:
f(6)= 72
to evaluate:
substitute x = 6 into
f(x)f(6)= 23 × (6) 2 + (8×6)×x = 231 × 3612+ 48
Harry was assigned 75 problems for math homework. Harry did 1/5 of them correctly. How many problems did he get correct?
Answer:
15
Step-by-step explanation:
75 divided by 5
Answer:
15 problems
Step-by-step explanation:
To find how many problems were correct, find 1/5 of 75:
Divide 75 by 5:
75/5
= 15
So, Harry got 15 problems correct.
How many solutions does 5(x+9)=5x+45 have
Answer:
Simplifying
5(x + 9) = 5x + 45
Reorder the terms:
5(9 + x) = 5x + 45
(9 * 5 + x * 5) = 5x + 45
(45 + 5x) = 5x + 45
Reorder the terms:
45 + 5x = 45 + 5x
Add '-45' to each side of the equation.
45 + -45 + 5x = 45 + -45 + 5x
Combine like terms: 45 + -45 = 0
0 + 5x = 45 + -45 + 5x
5x = 45 + -45 + 5x
Combine like terms: 45 + -45 = 0
5x = 0 + 5x
5x = 5x
Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x
Combine like terms: 5x + -5x = 0
0 = 5x + -5x
Combine like terms: 5x + -5x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions
Step-by-step explanation:
Anybody know the RIGHT answer?
Given:
The table shown the number of campers, x, at a local campsite and the total amount of money, y, in dollars, earned by the camp site.
To find:
The unit for the rate of change.
Solution:
We know that, rate of change is the change in y-values with respect to x-values, i.e.,
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
In the given problem, y is the total earnings in dollars and x is the number of campers. So, the rate of change represents the change is earnings with respect to number of campers.
Thus, the unit of rate of change is dollars per camper.
Therefore, the correct option is D.
For what values of is the quadratic
function f (c)=22 – 20 – 24
positivie
Answer:
5485/45
Step-by-step explanation:
Which of the points below does not belong?
(0, -3)
(0, 0)
(4, -3)
(4,0)
Answer:
c
Step-by-step explanation:
Jeff is lining up children and adults bicycle at bike shop where he work the children bicycle is nine less three times the number of adult bicycle there are 42adult bicycle how many child
ren bike are there
Answer:
Number of children bicycles = 117
Step-by-step explanation:
Given that:
Number of adult bicycles = a = 42
Let,
x represent the number of children bicycle
According to given statement;
The number of children bicycle is nine less three times the number of adult bicycles.
x = 3a - 9
Putting a=42
x = 3(42)-9
x = 126-9
x = 117
Hence,
Number of children bicycles = 117
Ben saved 172 coins. He saved nickels and dimes only. If he had $14, how many nickels did he have?
Answer:
64 Nickels
Step-by-step explanation:
172 coins equal $14.00
It took time to figure this out, I just used a calculator to shimmy down the gap of possibilities, starting here;
100d = $10.00
72n = $3.60
I got closer here;
110d = $11.00
62n =$3.10
I subtracted 2 dimes and added 2 nickels from the previous to get the answer.
108d = $10.80
64n = $3.20
$10.80 + $3.20 = $14.00
Approximate the correlation of the data shown below?
a. 1
b. 0
c. -0.5
d. -1
Answer:
Step-by-step explanation:
The required correlation of the data is given by -0.5. Option C is correct.
Given that,
To determine the approximate correlation of the data shown,
A statistical measure known as correlation expresses how closely two variables are related linearly.
here,
Draw a constant line from the first point to the last point,
Which shows a decreasing slope of -0.5. So it is the approximate correlation of the data given.
Thus, the required correlation of the data is given by -0.5. Option C is correct.
Learn more about the correlation here:
https://brainly.com/question/28898177
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Use the Distributive Property to solve the equation 4x - 2(x - 2) = - 7+ 4x + 3 The solution of the equation is
Answer:
The answer is x = 4
Step-by-step explanation:
The 3 x 5 matrix shows the number of sandwiches sold over five days at the school canteen. What does the number tell you which is: (06 Marks) (a) in the second row and the third column (b) in the third row and the fourth column (c) in the first row and the fifth column M T W T F Cheese 50 45 52 47 39 Salad 61 44 48 38 51 Chicken 53 46 39 42 52
Answer:
a. 48 salads were bought on Wednesday
b. 42 chickens were bought on Thursday
c. 39 cheese were bought on Friday
Step-by-step explanation:
Given
[tex]------- M -- T - W -- T -- F[/tex]
Cheese ----- 50 -- 45 - 52 - 47 --39
Salad -------- 61 -- 44 - - 48 - 38 -- 51
Chicken ---- 53 -- 46 - - 39 - 42 -- 52
First, it should be noted that the horizontal data represent the row while the vertical data represent the column.
Having said that, the solution is as follows:
Solving (a): Second Row, Third column
The data at the second row are:
[tex]------- M -- T - W -- T -- F[/tex]
Salad -------- 61 -- 44 - - 48 - 38 -- 51
The data at the third column is then limited to:
------------------W
Salad -------- 48
So the number at this position implies that: 48 salads were bought on Wednesday
Solving (b): Third Row, Fourth column
The data at the second row are:
[tex]------- M -- T - W -- T -- F[/tex]
Chicken ---- 53 -- 46 - - 39 - 42 -- 52
The data at the fourth column is then limited to:
------------------- T
Chicken ---- 42
So the number at this position implies that: 42 chickens were bought on Thursday
Solving (c): First Row, Fifth column
The data at the first row are:
[tex]------- M -- T - W -- T -- F[/tex]
Cheese ----- 50 -- 45 - 52 - 47 --39
The data at the fifth column is then limited to:
------------------F
Cheese ----- 39
So the number at this position implies that: 39 cheese were bought on Friday
Name a fourth point in plane TUW
Answer: Z
I hope this helps !!
PLEASE HELP WILL DO ANYTHING
For the past ten years, Michelle has been tracking the average annual rainfall in Boynton Beach, Florida by recording her data in the given table. She has concluded that the relationship can be modeled by a linear function.
Year. Average Rainfall(in inches)
2004. 62.33
2005 61.8
2006 61.27
2007 60.74
2008 60.21
2009 59.68
2010 59.15
2011 58.62
2012 58.09
2013. 57.56
Use the values provided in the table to create a linear graph of the data. On the graph, let x=0 represent the year 2004. Be sure to include all proper labels on the graph.
Answer:
it is decreasing
Step-by-step explanation:
Answer:
Its obviously decreasing
Step-by-step explanation:
Water runs from a pump at a rate of 0.5 gallons per minute. At this rate, how long would it take to fill a tub with a 150-gallon capacity?
Answer:
300 min or 5 hours
Step-by-step explanation:
so if it pumps 0.5 gallons per minute than in 2 minutes it would pump 1 whole gallon so with that we know 1gallon=2 minutes.
so with that we multipy both sides by 150 which will be 150 galons=300 minutes or 5 hours
Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?
A ball is dropped from a height of 1m. The ball bounces and rebounds, losing 14% of its previous height and then falls again. If the ball continues to rebound and fall in this manner, find the total vertical distance the ball travels until it hits the ground for the 6th time.
9514 1404 393
Answer:
7.51 m
Step-by-step explanation:
The distance traveled to the first floor hit is 1 m. The next hit has a height that is 14% less, so is 100% -14% = 86% = 0.86 times this height. The travel up and down to/from that height is added to the total.
The distance traveled to the second floor hit is 1 m + 2×(0.86×1 m).
The distance traveled to the third floor hit is 1 m + 0.86×2 m + 0.86²×2 m.
Then the distance traveled to the n-th floor hit is ...
-1 m + Sum(0.86^k × 2 m) for k = 0 to n-1
The sum can be found from the formula for the sum of a geometric series:
Sn = a1×(r^n -1)/(r-1) . . . . . where a1 is the first term and r is the common ratio.
For r = 0.86, n = 6, and a1 = (2m), the total distance is ...
vertical distance = -1 m + (2 m)(0.86^6 -1)/(0.86 -1)
= -1 m + (2 m)(-0.5954)/(-0.14) ≈ 7.5062 m
The total distance traveled to the 6th floor hit is about 7.51 meters.
_____
Alternate solution
Another way to answer the question is to add up the distances for each bounce. Attached is a spreadsheet that does that.