The perimeter of an airplane ticket is 32 centimeters. The area is 60 square centimeters. What are the dimensions of the ticket
Answers
For this case what you should know is that the perimeter of the rectangle is given by:
P = 2w + 2l
The area of the rectangle is given by:
A = w * l
In both cases:
w: width
l: long
We have the following system of equations:
32 = 2w + 2l
60 = w * l
Solving the system we obtain:
The dimensions of the ticket are:
(10 cm) * (6 cm)
Answer:
the dimensions of the ticket are:
(10 cm) * (6 cm)
Note: see attached image for system solution
Related Questions
marshall bought 32 ounces of mixed nuts, which are estimated to be 30%. which expression can be used to find the percentage of peanut concentration of the final mix if he adds x ounces of peanuts?
Answers
(0.3) * (32) = 9.6
To find the percentage of peanut concentration of the final mix if you add x ounces of peanuts:
% of peanuts = ((x + 9.6) / (x + 32)) * (100)
Answer:
An expression can be used is:
% of peanuts = ((x + 9.6) / (x + 32)) * (100)
Answer: Its B for short
First we get 30% ounces of peanuts in mixed nuts:
(0.3) * (32) = 9.6
To find the percentage of peanut concentration of the final mix if you add x ounces of peanuts:
% of peanuts = ((x + 9.6) / (x + 32)) * (100)
Answer:
An expression can be used is:
% of peanuts = ((x + 9.6) / (x + 32)) * (100)
Step-by-step explanation:
yea
Select the problems which show the correct answers. (1.12 x 105) (6.06 x 105) Answer: 6.79 x 1010 (2 x 101)(3.0 x 101) Answer: 6.0 x 101 (2.775 x 10−4) (4.775 x 104) Answer: 1.325 x 100 5 8.14 x 102 Answer: 6.14 x 10−3
Answers
Answer:
[tex](1.12 x 10^5) (6.06 x 10^5) = 6.787 x 10^{10}\\[/tex]
[tex]\frac{0.5 x 10 ^ 1}{8.14 x 10 ^ 2} = 6.14 * 10 ^ {-3}\\[/tex]
Step-by-step explanation:
To solve this problem we must solve all 4 operations.
For the first one we have:
[tex](1.12 x 10^5) (6.06 x 10^5)[/tex]
When we have multiplication of powers of equal base (10) the same base is placed and the exponents are added
So:
[tex]1.12 * 6.06 x 10^{5+5} = 6.787 x 10^{10}\\[/tex]
Therefore the answer to this question is correct.
For the second question we have:
[tex](2 x 10^1) (3.0 x 10^1)[/tex]
Then following the same procedure as in the previous question we have:
[tex]2 * 3.0 x 10 ^ {1 + 1} = 6 x 10 ^ 2\\[/tex]
Then the answer shown in the statement is not correct, because 10 must be squared, product of the sum of its exponents (1 + 1)
For the third question we have:
[tex](2,775 x 10^{-4}) (4,775 x 10^4)\\2.775 * 4.775 x 10 ^{(- 4) +4} = 13.251 x10 ^ 0\\[/tex]
Then it is verified that the answer for this operation is no correct
[tex]13.25\neq 1.325[/tex]
Finally, for the fourth question we have:
[tex]\frac{5}{(8.14 x 10 ^ 2)}\\[/tex]
This we can write it as:
[tex]\frac{0.5 x 10 ^ 1}{8.14 x 10 ^ 2}\\[/tex]
In division of powers of equal base (10 in this case) the same base is placed and the exponents are subtracted:
[tex]\frac{0.5}{8.14 x 10 ^ {1-2}} = 0.0614 x 10 ^ {-1} = 6.14 * 10 ^ {-3}\\[/tex]
Finally, the problems that show correct answers are:
[tex](1.12 x 10^5) (6.06 x 10^5) = 6.787 x 10^{10}\\[/tex]
[tex]\frac{0.5 x 10 ^ 1}{8.14 x 10 ^ 2} = 6.14 * 10 ^ {-3}\\[/tex]
Find the volume of the prism. 192 cu. ft. 64√(13) cu. ft. 96 cu. ft.
Answers
Given is a Right Triangular Prism whose height is 8 feet, and whose base is a right triangle with legs 4 feet and 6 feet.
To find the volume of the prism, we must find the area of its base. Its base is in shape of right triangle. We know the formula for area of Right triangle is given as follows :-
[tex] Area = \frac{1}{2} bh \\\\
Area = \frac{1}{2} *4*6 \\\\
Area = \frac{24}{2} \\\\
Area = 12 \;\;feet^{2} [/tex]
So Prism's base area, B = 12 squared feet.
and Prism's height, H = 8 feet.
We know the formula for volume of Prism is given as follows :-
Volume of Prism = (Base Area) x (Height of Prism)
Volume = B x H
Volume = 12 feet² x 8 feet
Volume = 96 feet³
Hence, option C is correct i.e. 96 cubic feet.
John invested $575 in stocks. If he lost d dollars when he sold the stocks, which expression represents the amount of money he received for his stocks?
Answers
y: the amount of money I received for his stocks
d: lost dollars.
The expression that best suits the problem is:
y = 575-d
Where:
y <575
Answer:
An expression that represents the amount of money I received for his stocks is:
y = 575-d
Answer: 575-d
Step-by-step explanation:
can someone answer this?
Answers
All the right triangles are similar, so
.. hypotenuse/(short side) = x/6 = 6/(x -9)
Multiplying by the product of denominators gives
.. x(x -9) = 36
Two factors of 36 that differ by 9 are 12 and 3, so we have
.. x = 12
For y, we can use the Pythagorean theorem.
y^2 +6^2 = 12^2
y^2 = 144 -36 = 108
y = √108 = √(36*3)
y = 6√3
Victor ran 3 kilometres. Terrell ran 4,000 meters.Which statement is true? A. Victor ran 1,000 meters more B. Terrell ran 3,000 meters more than Victor. C. Victor ran 3,000 meters more than Terrell Or D. Terrell ran 1,000 meters more than Victor?
Answers
Answer:
I did the quiz
Step-by-step explanation:
The correct statement is,
⇒ Terrell ran 3,000 meters more than Victor.
What is Measurement unit?A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
We have to given that;
Victor ran 3 kilometers.
And, Terrell ran 4,000 meters.
Now,
We know that;
1 kilometer = 1000 meters
Hence, We get;
Victor ran = 3 kilometers
= 3 x 1000
= 3000 meters
Thus, Difference of distance are,
= 4000 - 3000
= 1000 meters
Therefore, The correct statement is,
⇒ Terrell ran 3,000 meters more than Victor.
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A car costs 25,750 and depreciates in value by 20% per year. How much will the car be worth after five. And please explain
Answers
$25,750 - $20,600
Your answer would be that the car will be worth $5,150 in 4 years.
Hope this helps
The problem describes a case of exponential decay. The car's value decreases by 20% each year, so after 5 years of depreciation, the value of the car can be calculated by repeatedly applying this 20% reduction each year. The car will be worth approximately $8,437.76 after 5 years of depreciation.
Explanation:The problem is a very typical example of exponential decay. The car depreciates in value by 20% each year. This means that after each year, the car is worth 80% (or 0.8) of its value from the previous year. After five years, we can calculate how much the car is worth by simply applying these percentages to the car's initial cost.
To calculate the value of the car after 5 years, you multiply the initial cost of the car by 0.8 (representing the 80% remaining value after depreciation) five times:
After the first year: $25,750 * 0.8 = $20,600After the second year: $20,600 * 0.8 = $16,480After the third year: $16,480 * 0.8 = $13,184After the fourth year: $13,184 * 0.8 = $10,547.20After the fifth year: $10,547.20 * 0.8 = $8,437.76So after 5 years, the car will be worth approximately $8,437.76.
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Which answer represents the series in sigma notation?
Answers
[tex]\sum^5_{j=1} (5j-12)[/tex] represents the series in sigma notation.
What is sigma notation?The symbol Σ (sigma) is generally used to denote a sum of multiple terms. This symbol is generally accompanied by an index that varies to encompass all terms that must be considered in the sum.
Given is a series (-7 + (-2) + 3 + 8 + 13), we need to define it in sigma notation,
Therefore,
For j = 1 up to j = 5
j = 1
(5j - 12) = (5(1) - 12) = 5 - 12 = - 7
j = 2
(5j - 12) = (5(2) - 12) = 10 - 12 = - 2
j = 3
(5j - 12) = (5(3) - 12) = 15 - 12 = 3
j = 4
(5j - 12) = (5(4) - 12) = 20 - 12 = 8
j = 5
(5j - 12) = (5(5) - 12) = 25 - 12 = 13
This gives us the given series,
(-7 + (-2) + 3 + 8 + 13)
Hence, [tex]\sum^5_{j=1} (5j-12)[/tex] represents the series in sigma notation.
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Given the dilation rule DO,1/3 (x, y) →
and the image S'T'U'V', what are the coordinates of vertex V of the pre-image?
Answers
A.)ii. and iii.
B.)ii.
C.)i.
D.)i. and iv.
Answers
The notation "p --> q" means "if p, then q". For example
p = it rains
q = the grass gets wet
So instead of writing out "if it rains, then the grass gets wet" we can write "p --> q" or "if p, then q". The former notation is preferred in a math class like this.
So when is the overall statement p --> q false? Well only if p is true leads to q being false. Why is that? It's because p must lead to q being true. The statement strongly implies this. If it rained and the grass didn't get wet, then the original "if...then" statement would be a lie, which is how I think of a logical false statement.
If it didn't rain (p = false), then the original "if...then" statement is irrelevant. It only applies if p were true. If p is false, then the conditional statement is known to be vacuously true. So this why cases iii and iv are true.
16 = X + 32
............................
Answers
[tex]\boxed{ 16-(x+32)=0 } \\ \\ ( -16 - x = -1 *( (x + 16) \\ \\ \boxed{\boxed{-x-16 = 0 }} \\ \\ add \ 16 \ from \ both \ sides \\ \\ (-1) : x = (-16).[/tex]
I hope this helps you! :)
Consider cases where the number of withholding allowances is less than 6. Which will cause the amount of federal income tax withheld to increase?
a.
Gross pay stays the same and withholding allowances increase.
b.
Gross pay increases by more than $20 and withholding allowances stay the same.
c.
Gross pay increases by more than $20 and withholding allowances increase.
d.
Gross pay decreases by more than $20 and withholding allowances stay the same.
Answers
Consider cases where the number of withholding allowances is less than 6.
The amount of federal income tax withheld will increase if the
1. Gross pay increases and withholding allowances remains the same or
2. Gross pay remains the same and withholding allowances decreases
Option B is correct. The amount of federal income tax withheld will increase when Gross pay increases by more than $20 and withholding allowances stay the same
Hope this helps..!!
Thank you :)
Federal income tax, when withholding allowances is less than 6, the Gross pay increases by more than $20 and withholding allowances stay the same.
What is federal income tax?Federal income tax is the tax which is used to develop and run the city or country and charged on the citizen resides their.
The value of federal income tax changes with change in withholding allowances and gross pay as-
The federal income tax is increases when the gross pay increases but the value of withholding amount is remain same.The federal income tax is increases when the gross pay remain same but the value of withholding amount is decreases.The federal income tax is decreases when the gross pay decreases but the value of withholding amount is remain same.The federal income tax is decreases when the gross pay remain same but the value of withholding amount is increases.Given information-
The number of withholding allowances is less than 6.
As the number of withholding allowances is less than 6. Thus the withholding allowances is fixed here.
Now the value of federal income tax increases gross pay increases as discussed in first property above.
Hence, Gross pay increases by more than $20 and withholding allowances stay the same. Thus the option B is the correct option.
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Ginny has a sheet of plywood that is 4 feet by 8 feet. She wants to saw the plywood into pieces 1 foot high and 2 feet long for signs. How many signs can she make with the sheet of plywood?
Answers
Answer: 16 signs
Step-by-step explanation: i not saying this cause the other person said it i am saying it because i tookthe question
Lucinda wants to build a square sandbox but has no way of measuring angles. Explain how she can make sure that the samdbox is meansuring only length..
A) Arrange four equal-length sides so the diagonals bisect each other.
B) Arrange four-length sides so the diagonalsare equal in length
C) Make each diagonal the same length as four-length sides
D) This is not possible, Luninda has to be able to measure a right angle.
Answers
Nora says that the shapes shown below are translations of each other. Judy says that the transformation is a glide-reflection. In two or more complete sentences, explain who is correct.
Answers
Judy is incorrect in calling it a glide-reflection; such requires a movement (translation), followed by a flip (reflection) across either the x- or y-axis.
Considering that the point and base of the "arrow" image has not changed or flipped in the movement, no reflection had occurred.
Brian ran 414 miles in 34 of an hour. How fast was Brian running? 3316 mph 312 mph 5 mph 523 mph
Answers
Answer:
he means 5 2/3
Step-by-step explanation:
Answer: Fourth option is correct.
Step-by-step explanation:
Since we have given that
Distance traveled by Brian = [tex]4\frac{1}{4}\ miles=\frac{17}{4}\ miles[/tex]
Time taken by him = [tex]\frac{3}{4}[/tex] of an hour
So, Speed at which Brian is running fast is given by
[tex]Speed=\dfrac{Distance}{Time}\\\\\\Speed=\dfrac{\dfrac{17}{4}}{\dfrac{3}{4}}\\\\\\Speed=\dfrac{17}{3}\\\\\\Speed=5\dfrac{2}{3}\ mph[/tex]
Hence, Brian was running fast at [tex]5\dfrac{2}{3}\ mph[/tex]
Therefore, Fourth option is correct.
13. The spoke of a wheel reaches from the center of the wheel to its rim. If the circumference of the rim of the wheel is 27 inches, how long is each spoke? Round your answer to the nearest hundredth.
Answers
If f is differentiable at x = c, then f is continuous at x = c.
True
False
Answers
Answer:
This is true!
Step-by-step explanation:
P.S: keep in mind that the opposite is not true! If f is continuous at x = c, then f is NOT differentiable at x = c.
:)))
If f is differentiable at x = c, then f is continuous at x = c is not true.
What is differentiable?Any point inside the range of a function's purview has a derivative, making it a computable function of one real variable. In these other phrases, each interior site in the domain of an invertible method's graph does indeed have a non-vertical line segment.
F is NOT differentiable at x = c if it is continuous at x = c.
When working with units, this quality is highly helpful since, if a curve is discrete, we automatically infer that it is indeed continuous.
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What is the product of 7√20 and 10√6 ?
Answers
Please help. 15 points. Thank you.
Answers
1. 6 cm = 5*(actual size)
.. 6/5 cm = actual size
2. 1.8 in = (scale factor)*4.5 in
.. (1.8 in)/(4.5 in) = scale factor
.. 2/5 = scale factor
solve the right triangle shown in the figure BC = 1.6in< A=48.8 C =90
Answers
180 - 90 - 48.8 = 41.2
m∠B = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):
[tex]\tan 41.2 = \frac{x}{1.6}[/tex]
Multiply both sides by 1.6:
[tex]1.6 \tan 41.2 = x \\ 3.67 = x[/tex]
This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:
[tex](1.6)^2+(3.67)^2=c^2 \\ 2.56+13.4689=c^2 \\ 16.0289=c^2 \\ \sqrt{16.0289} = \sqrt{c^2} \\ 4=c[/tex]
The length of side AC, the hypotenuse, is 4 inches.
I think your answer is A
Someone pleaser help me !
Answers
.. $80,000 * 4/(3 +4) = 45,714.29
The closest answer is the 4th selection, but it doesn't really agree with the conditions of the problem statement.
_____
If Steve invests the balance after Elizabeth contributes 45,600, the ratio of their contributions will be 43:57, about 0.7544, not 3:4 = 0.7500.
The graph of y = 1/2x^2 will be more narrow than the graph of the parent function, y = x²
true or false
Answers
see the attached figure
the graph y = 1/2x^2 will be more wider than the graph of y = x²
because for the same value of x the value of y is smaller
therefore
the answer is false
HELLLLLLLLLLLLLLLLPPPPPPP PLEASE! Is the number 4.78 a solution of x < 5? Is the number 6 a solution of x < 6? PLEASE EXPLAIN.
Answers
.. yes, x=4.78 is a solution to x < 5
As you know, 6 = 6, but is not less than 6.
.. no, x=6 is not a solution to x < 6.
Which comparison is correct for the values of f(x) and g(x) when x=−1 ?
Function A: f(x)= −x^2+1
Function B:
f(−1)>g(−1)
f(−1)=g(−1)
f(−1)
Answers
Answer:
[tex]f(-1)>g(-1)[/tex]
Step-by-step explanation:
we are given
[tex]f(x)=-x^2+1[/tex]
We can plug x=-1 and find f(x)
we get
[tex]f(-1)=-(-1)^2+1[/tex]
[tex]f(-1)=-1+1[/tex]
[tex]f(-1)=0[/tex]
now, we can find g(-1)
we can look at the table and find g(-1)
so, we get
[tex]g(-1)=-4[/tex]
we know that
-4 is less than 0
so,
[tex]g(-1)<f(-1)[/tex]
or we get
[tex]f(-1)>g(-1)[/tex]
It takes 4 pounds of grapes to make 1 pound of raisins. How many pounds of grapes would you need to make 3000 pounds of raisins?
Answers
(grapes);(rasins)
4:1
x:3000
so you then cross multiply
1·x=4·3000
multiply,
x=12000
so the answer is it takes 12000 pounds of grapes to make 3000 pounds of raisins
Final answer:
To make 3000 pounds of raisins, you would need 12000 pounds of grapes, as it takes 4 pounds of grapes to make 1 pound of raisins.
Explanation:
The question asks us to find out how many pounds of grapes are needed to make 3000 pounds of raisins.
Given that it takes 4 pounds of grapes to make 1 pound of raisins, we can set up a proportion to solve for the total weight of grapes needed. The proportion will be:
4 pounds of grapes / 1 pound of raisins = x pounds of grapes / 3000 pounds of raisins
Multiplying both sides of the proportion by 3000 pounds of raisins gives us:
4 pounds of grapes x 3000 pounds of raisins = x pounds of grapes x 1 pound of raisins
So,
x = 4 x 3000
x = 12000 pounds of grapes.
Therefore, you would need 12000 pounds of grapes to make 3000 pounds of raisins.
7. What is the angle measure that is vertical to an 83° angle?
Answers
The sum of the roots of the equation 1/2x^2-5/4x-3=0
Answers
Multiplying all the terms by 4 to remove fractions
2x²-5x-12=0
we can use factorization method;
product = -24
sum = -5
numbers= -8 and 3
Threfore; 2x²-8x+3x-12 =0
2x(x-4) +3(x-4) =0
= (2x+3)(x-4) =0
thus 2x +3= 0 or x-4 =0
therefore; x = -3/2 and x =4
Thus the sum of the roots will be (-3/2 +4) = 2.5
PLEASE HELP ME!!! I would really appreciate it!
Answers
I just worked it out and the answer is D. 4y^2-10y-1
I’ve just studied these long equations and then having to simplify the expressions in algebra. I really hope my answer benefits you in the best way!
~Brooke❤️
A right triangle has legs that are 15 feet and 25 feet long.
What is the length of the hypotenuse?
Answers
15^2 + 25^2 = X62
225 + 625 = x^2
850 = x^2
x = 5sqrt(34)
if you need it as a decimal = 29.1547
Answer: The length of the hypotenuse is 5√34 units.
Step-by-step explanation: Given that a right-angled triangle has legs of length 15 ft and 25 ft.
We are to find the length of the hypotenuse.
As shown in the attached figure, AB and BC are the legs of the right-angled triangle ABC. AC is the hypotenuse of the triangle.
Also, AB = 15 ft and BC = 25 ft.
From Pythagoras theorem, we have
[tex]AC^2=AB^2+BC^2\\\\\Rightarrow AC^2=(15)^2+(25)^2\\\\\Rightarrow AC^2=225+625\\\\\Rightarrow AC^2=850\\\\\Rightarrow AC=\sqrt{850}\\\\\Rightarrow AC=5\sqrt{34}.[/tex]
Thus, the length of the hypotenuse is 5√34 units.