Answer:
The prove is explained below:
Step-by-step explanation:
The computation is given below:
Here we needed two equations
Let us assume x = 0.555 --------------- (1)
Now if multiplied it by 10 to the both sides
So, it would be
10x = 5.555............(2)
Now deduct equation 1 from equation 2 in order to remove the recurring decimals
(10x - x) = (5.5555 - 0.5555 )
9x = 5 (divided the both sides by 9 )
So x = 5 by 9
pls help 60 POINTS ASAP
Answer:
4 by 5 inch rectangle
Step-by-step explanation:
Answer:
4 by 5 inch rectangle
Step-by-step explanation:
Loading . . .
Evaluate: 2^7•3^6•5^8 divided by 2^3•3^3•5^7
Answer:
[tex]2^{4}*3^{3}*5[/tex]
Step-by-step explanation:
[tex]\frac{x^{n} }{x^{y}}=x^{n-y}[/tex]
This means that we just subtract the exponents with identical bases so
2⁷/2³=2⁴ (7-3)
3⁶/3³=3³ (6-3)
5⁸/5⁷=5 (8-7) put them together and you get the answer
PLEASE HELP!! WILL MARK BRAINLIEST!!! I'M KINDA DESPERATE NOW!!!
Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
[tex]f(x)=2x^2+16\\g(x)=\sqrt{5x^{3} }[/tex]
Answer:
Part 1)
[tex]f(g(x))=10x^3+16[/tex]
Part 2)
The composition f(g(x)) represents the amount of money Raul earns per ticket given the amount of hours Raul works
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=2x^2+16[/tex]
Which represents the amount of money Raul earns per ticket and:
[tex]g(x)=\sqrt{5x^3}[/tex]
Which represents the number of tickets Raul sells per hour.
Part 1)
We want to find f(g(x)).
So, we substitute g(x) for f(x). This yields:
[tex]f(g(x))=2(\sqrt{5x^3})^2+16[/tex]
This can be expanded a simplified as such:
[tex]f(g(x))=2((\sqrt{5})^2(\sqrt{x^3})^2)+16=10x^3+16[/tex]
Part 2)
Recall that f(x) outputs the amount of money Raul earns per ticket.
And g(x) inputs the amount of hours Raul works.
When we composed f(g(x)), the input and output stayed the same.
So, f(g(x)) represents the amount of money Raul earns per ticket (output of f(x)) given the amount of hours Raul works (input of g(x)).
Answer:
The composition f(g(x)) represents the amount of money Raul earns per ticket given the amount of hours Raul works
Step-by-step explanation:
Write an expression for "h less than 13"
Answer:
13-h is h less than 13. this is how you answer this.
Hey there!
Sometimes “less than” means “>” ( a number smaller than the number that’s being compared to) or “subtraction”
So, therefore your answer should be
[h < 13] or [h - 13]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
can you pleas help me fine answer for
y-9=7(x-10)
Answer:
down below
Step-by-step explanation:
x = y/7 + 61/7
y= 7x - 61
Calculate or Simplify the value of each expression
a {-8} . 2/3
b {-8} .-2/3
c -18/3
d 18/-3
e -18/-3
Answer:
Step-by-step explanation:
[tex]b) (-8)*\frac{-2}{3}=\frac{(-8)*(-2)}{3}=\frac{16}{3}=5\frac{1}{3}\\\\c) \frac{-18}{3}= -6\\\\d) \frac{18}{-3}=\frac{6}{-1}= -6\\\\e) \frac{-18}{-3}=\frac{18}{3}= 6[/tex]
order the numbers from least to greatest 2/3 0.68 65%
Answer:
65%, 2/3, 0.68
Step-by-step explanation:
0.68 = 0.68
2/3 = 0.66666...
65% = 0.65
5x−4=16
what do i do
Answer:
x=4
Step-by-step explanation:
5x-4=16
5x-4+4=16+4 add 4 to each side
5x=20 simplify
5x/5=20/5 divide each side by 5
x=4 simplify
Valentino's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.
Type of Crust Number Sold
Thin crust 338
Thick crust 331
Stuffed crust 164
Pan style 192
Based on this information, of the next 4000 pizzas he sells, how many should he expect to be stuffed crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.
Answer: Number of pizzas out of 4000 that is expected to be pan size
= 4000 * 168 / (326 + 309 + 247 + 168)
= 640
Complete the statements.
Graph ____has one real root.
Graph ____ has a negative discriminant.
Graph ____has an equation with coefficients
Joey likes beer and whisky and spends £75 in total on drink. His utility function for whisky (w) and beer (b) is = 5 + .
He can buy beer at £2 a can but the liquor store tries to discourage overconsumption of spirits by charging higher prices for larger quantities: the cost in dollars of bottles of whisky works out at !.
a. How many cans of beer and how many bottles of whisky does Joey consume?
b. Illustrate your answer with a clearly labelled diagram showing Joey's budget constraint and his indifference curve passing through the optimal consumption bundle.
c. Joey's friend Ross shops at the same liquor store and spends the same amount on drink. Jim, however, insists on drinking beer and whisky together. His utility function is = min{5, } How much beer and whisky does Jim buy?
To answer the questions, we need to understand the utility functions and budget constraints for both Joey and Jim. Let's break it down step by step:
Joey's Utility Function and Budget Constraint:
Joey's utility function for whisky (w) and beer (b) is given by: U(w, b) = 5 + (w^0.3 * b^0.7)
w: The quantity of whisky (in bottles) consumed by Joey
b: The quantity of beer (in cans) consumed by Joey
Joey spends £75 in total on drink. The cost of beer is £2 per can, and the cost of whisky is £6 per bottle.
To find how many cans of beer and bottles of whisky Joey consumes, we need to maximize his utility function while staying within his budget constraint.
Joey's Budget Constraint:
Joey's total expenditure on drink (E) is given by: E = 2b + 6w
And we know that E = £75.
So, the budget constraint is: 2b + 6w = 75
Now, we can solve this problem using optimization techniques. However, without specific numerical values for the utility function and budget constraint, it's not possible to determine the exact quantities of beer and whisky consumed by Joey. We can only find the optimal consumption bundle if the specific values are given.
Joey's Indifference Curve and Budget Constraint Diagram:
To illustrate Joey's optimal consumption bundle, we would need to plot his indifference curve (representing his preferences) and his budget constraint (showing all possible affordable combinations of beer and whisky). However, without the exact values, we cannot draw the diagram.
Jim's Utility Function and Consumption:
Jim's utility function for beer (b) and whisky (w) is given by: U(b, w) = min{5, (w^0.3 * b^0.7)}
Jim's utility function shows that he insists on drinking beer and whisky together, and his utility is the minimum of 5 and the product of whisky and beer raised to certain powers.
Again, without specific numerical values for the utility function, we cannot determine the exact quantities of beer and whisky consumed by Jim.
In summary, to fully answer the questions, we would need the specific numerical values for the utility function and the budget constraint. With those values, we could then calculate the optimal consumption bundles for both Joey and Jim.
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Which of the following is the equation of a line that has a slope of 5 passes through the point (-3, 7)?
Answer:
y - 7 = m(x + 3)
Step-by-step explanation:
Apply the point-slope formula: y - k = m(x - h)
Then we have y - 7 = m(x + 3)
The production cost to make 10 shirts is modeled by the expression 1.By + 5.5, where y represents the number of meters of fabric needed to make the shirts. Which
expression represents the production cost for one shirt?
A.0.18y +0.55
B.0.18y +5.5
C.1.8y +0.55
D.18y +55y
Answer:
The answer is 0.18y+5.5
Step-by-step explanation:
because the only thing you had to do is move the decimal.
The expression which represents the production cost for one shirt is, 0.18y +0.55. So Option A is correct
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
The production cost to make 10 shirts is modeled by the expression,
Total Cost = 1.8y + 5.5,
where y represents the number of meters of fabric needed to make the shirts
So, for one shirt cost,
Cost of 1 shirt = Total Cost/10
= 1.8y + 5.5/10
= 0.18y + 0.55
Thus, the expression is 0.18y + 0.55
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y = 3x + 2
2x + y = 47
x=
y=
Answer:
y=29
x=9
Step-by-step explanation:
plug the first equation into the second one as y
2x+y=47
solve
then plug answer u got in x
y=3(9)+2
solve
Billy wrote a total of 32 pages over 16 hours. After spending 21 hours writing this week, how many pages will Billy have written in total? Assume the relationship is directly proportional.
Answer:
42
Step-by-step explanation:
Answer:
I'm not 100% sure about this but i think its 42
Step-by-step explanation:
this is what i did
32/16=2
2*21=42
What is the volume of the composite figure. I said 36 but it is wrong.
Answer:
108
Step-by-step explanation:
You are correct for stating one tissue box has a volume for 36.
But notice there are 3 tissue boxes, so in order to find the total volume, you should add them up.
36+36+36=108
Answer:
6*3*2=36 there are 3 boxes so 36*3=108
Step-by-step explanation:
a) Write 600 as the product of prime factors.
Give your answer in index form.
Answer:
2^3*5^2*3
Step-by-step explanation:
600=2*2*2*5*5*3=2^3*5^2*3
What is the value of g?
___°
Answer:
31 degrees
Step-by-step explanation:
Answer:
31 Degrees
Step-by-step explanation:
Since this is a right angle, it will equal 90 degrees.
Take 90 and subtract 59 to get g.
g = 31 degrees
How many degrees warmer is Knowlton than
Gainesville
Knowlton-12c
Gainesville-9c cooler
A surfer is riding a 7 foot wave. The angle of depression from the surfer to the shoreline is 10 degrees. What is the distance from the surfer to the shoreline
Step-by-step explanation:
The distance from the surfer to the shoreline will be found as follows:
tan θ= opposite/adjacent
θ=10°
opposite=7ft
adjacent= x ft
substituting the values in our formula and solving for x we get
tan 10=7/x
hence
x=7/tan10
x=39.69897~ 39.7 ft
The surfer is 39.7 ft from the shoreline.
Answer:
The surfer is 39.7 ft from the shoreline.
Step-by-step explanation:
Please help don’t know answer
Answer: Slope: 2/3
y-intercept: 9
Step-by-step explanation:
A theater is selling tickets for a performance. Mr. Smith purchased 8 senior tickets and 5 child tickets for $136 for his friends and family. Mr. Jackson purchased 4 senior tickets and 6 child tickets for $96. What is the price of each ticket?
Answer:
for the seniors, the answer is $12, and for the children, the answer is 8.
Step-by-step explanation:
A cone with the same base but a height 3 times taller than the given cylinder exists. What is the volume of each figure? Express your answers in terms of pi.
Volume of the cylinder = pi
Volume of the cone = pi
Answer: the answer to this problem is 36 :)
Answer:
Both are 36
Step-by-step explanation:
I just did it
The cell phone price was originally $457. It is now being sold for $318. State the change to the nearest percent
I really need help
Answer:
30.4%
Step-by-step explanation:
Given data
originally price $457
new price= $318
Required
The percent mark down
Percent markdown= original- new/original*100
substitute
Percent markdown= 457- 318/457*100
Percent markdown= 139/457*100
Percent markdown=0.304*100
Percent markdown=30.4%
Hence the price was reduced by 30.4%
What is the simple interst on $32,000 at 7% interest for 6 months
Answer:
1120$
Step-by-step explanation:
Total Intrest/By 7%
Answer:
$1,120 hope this helps!
Step-by-step explanation:
whoever helps me ill mark brainliest
3.2÷(0.16+0.24)2( the 2 right next to this is a exponent)
Jack is 1.78 m tall.
Amy is 5 cm taller than Jack.
How tall is Amy?
Answer:
1.83
Step-by-step explanation:
1.78 + 5 cm
because it says she is taller so you add both
Height of Amy who is 5 cm taller than Jack is 1.83 meters.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Jack is 1.78 m tall and Amy is 5 cm taller than Jack.
Therefore, The sum of the height of Jack and 5 cm more is the height of
Amy.
Therefore,
178 cm + 5 cm = 183 cm is the height of Amy. (1m = 100 cm)
So, 183 cm is equal to 1,83 meters.
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There is more than one answer!
Answer:
I think it's B and D
Step-by-step explanation:
(-5,-1); 2y=2x-4 help me ASAP please
(-5, -1) is not a solution to the equation 2y = 2x - 4.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
2y = 2x - 4 _____(1)
Ordered pair: (-5, -1)
Now,
(-5, -1) = (x, y)
Substitute in (1)
2y = 2x - 4
2 x (-1) = 2 x (-5) - 4
-2 = -10 - 4
-2 = -14
This is not true.
Thus,
(-5, -1) is not a solution.
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