Answer:
92.7 ft
Step-by-step explanation:
Given that T=KX/Y,find the percentage increase in T when k, xandy all increase by 20%
Answer:
The percentage increase in [tex]T[/tex] is 20 %.
Step-by-step explanation:
Let be [tex]T = \frac{k\cdot x}{y}[/tex], whose initial parameters are [tex]k = k_{o}[/tex], [tex]x = x_{o}[/tex] and [tex]y = y_{o}[/tex]. If these three parameters are increased by 20 %, then initial and final values of [tex]T[/tex] are, respectively:
Initial value
[tex]T_{i} = \frac{k_{o}\cdot x_{o}}{y_{o}}[/tex] (1)
Final value
[tex]T_{ii} = \frac{(1.2\cdot k_{o})\cdot (1.2\cdot x_{o})}{1.2\cdot y_{o}}[/tex]
[tex]T_{ii} = \frac{1.2\cdot k_{o}\cdot x_{o}}{y_{o}}[/tex] (2)
(1) in (2):
[tex]T_{ii} = 1.2\cdot T_{i}[/tex]
And the percentage increase in T is:
[tex]\%T = \frac{T_{ii}-T_{i}}{T_{i}}\times 100\,\%[/tex] (3)
[tex]\%T = \frac{1.2\cdot T_{i}-T_{i}}{T_{i}}\times 100\,\%[/tex]
[tex]\%T = 20\,\%[/tex]
The percentage increase in [tex]T[/tex] is 20 %.
Answer:
Step-by-step explanation:
Lets subsitute k, x and y as 100 to make it easier for us
So k = 100, x = 100, y = 100
Step 1 :- T = kx/y
- T = 100 * 100 / 100 = 100
Step 2 :- Increase by 20% = 100 * 20% = 20, 100 + 20 = 120
Step 3 :- Percentage Increase = Increased value OVER original calue MULTIPLIED by 100%
SO = ( 120 - 100 ) ,,,, 20/100 * 100% = 0.2* 100 = 20%
Mr. Layte needs a mortgage to buy his first house. Which describes how this will affect Mr. Layte's financial situation?
Select Multiple Answers
A
He will have to watch his spending carefully as he will have extra costs that come with owing a house.
B
The amount of money he has to spend on things will increase because he is in debt. The bank will give him a monthly payment so he can pay for the house.
C
The amount of money he has to spend on things will remain unchanged.
D
The amount of money he has to spend on things will decrease because he is in debt. He must make monthly payments to the bank to pay for the credit he received.
9514 1404 393
Answer:
A, D
Step-by-step explanation:
Assuming that Mr. Layte must pay for his mortgage from his (otherwise) disposable income, that disposable income will decrease. As in choice A, there will likely be additional ownership expenses besides the mortgage. Under our assumption, Mr. Layte's disposable income does not remain the same or increase.
The appropriate choices are A and D: the amount of money he has to spend on things will decrease ...
IF YOU ARE GOOD AT MATH I NEED YOUR HELP REALLY BAD ATM . THIS CAN ALSO HAVE MORE THAN 1 ANSWER :)
Answer:
2(1.75+3.00) and 3.50x+6.00
Step-by-step explanation:
have a great day :D
Step-by-step explanation:
D
Which set of measurements could represent the three sides of a triangle?
O 2 cm, 3 cm, 6 cm
O 1 cm, 4 cm, 6 cm
O 8 cm, 9 cm, 10 cm
6 cm, 10 cm, 18 cm
Answer:
The side lengths of a right triangle is 11cm, 60cm and 61cm, that could be selected from the given measurements.
Step-by-step explanation:
The measurements are,
7cm, 11cm, 54cm, 60cm, 61cm, 65cm
Step:1
To check the right angle triangle, Pythagorean theorem can be used.
For a Pythagorean theorem,
..........................(1)
The side values are lower than the hypotenuse,
...................................(2)
Where,
a,b - side values
c - Hypotenuse
For right angle triangle, c > a, b
Alternative : 1
Take, a = 7cm, b = 11cm
From eqn (2),
= = 13.04
The above value is not equal to the any one of the values of ( 54cm. 60cm, 61cm, 65cm ), So its not an sides of right triangle.
Alternative : 2
Take, a = 7cm, b = 54cm
From eqn (2),
= = 54.45
The above value is not equal to the any one of the values of (60cm, 61cm, 65cm ), So its not an sides of right triangle.
Alternative : 3
Take, a = 7cm, b = 60cm
From eqn (2),
= = 60.406
The above value is not equal to the any one of the values of (61cm, 65cm ), So its not an sides of right triangle.
Alternative : 4
Take, a = 7cm, b = 61cm
From eqn (2),
= = 61.40
The above value is not equal to the values of (65cm ), So its not an sides of right triangle.
Alternative : 5
Take, a = 11cm, b = 54cm
From eqn (2),
= = 55.1089
The above value is not equal to the any one of the values of (60cm, 61cm, 65cm ), So its not an sides of right triangle.
Alternative : 6
Take, a = 11cm, b = 60cm
From eqn (2),
= = 61
The above value is equal to the values of (61cm ), So its an sides of right triangle. The three sides are 11, 60 and 61.
Step:2
Check for solution,
Result:
The side lengths of a right triangle is 11cm, 60cm and 61cm, that could be selected from the given measurements.
Step-by-step explanation: The side lengths of a right triangle is 11cm, 60cm and 61cm.
Lupe and her friends spent $20 on snack mix and water. They bought x bags of snack mix for $2.50 each and y bottles of water for $1.25 each. If Lupe and her friends bought a total of 11 items, how many bags of snack mix and bottles of water did they buy?
bags of snack mix: ?
bottles of water: ?
Answer:
7.5 bags of snack mix, 3.5 bottles of water.
Step-by-step explanation:
This can be found by looking at a system of equations. Setting up our system, we know that they bought 11 items, and that there was a total of $20. Our system would be this:
[tex]x+y=11\\2.5x+1.25y=20[/tex]
We can then solve for a variable in any equation. Let's solve for x in the second equation.
[tex]2.5x+1.25y=20\\2.5x=20-1.25y\\x=8-0.5\\x=7.5[/tex]
Now, we substitute into the other equation.
[tex]x+y=11\\7.5+y=11\\y=11-7.5\\y=3.5[/tex]
We now know both amounts; they bought 7.5 bags of snack mix and 3.5 bottles of water.
Greg owns a clothing store where he designs T-shirts, t, and pairs of shorts, s. He sells the T-shirts for $7 each and the shorts for $14. Greg can work 15 hours a day, at most it takes him 15 minutes to design a T-shirt and an
The inequalities s ≥ 12 - t, s ≤ 22 - t, 0.25t + s ≤ 15, s ≥ 0; t ≥ 0 represent the scenario provided option (A) is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
Greg sells the T-shirts for $7 each and the shorts for $14.
Greg can work 15 hours a day, at most it takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts
Let s is the number of shorts
Let t is the number of t-shirts
We can formulate the inequality based on the data provided:
s ≥ 12 - t
s ≤ 22 - t
0.25t + s ≤ 15
s ≥ 0; t ≥ 0
Thus, the inequalities s ≥ 12 - t, s ≤ 22 - t, 0.25t + s ≤ 15, s ≥ 0; t ≥ 0 representing the scenario provided option (A) is correct.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ5
Can anyone help me on this please
What is 7.32 written as a fraction in lowest terms?
Answer:
183/25 is an equivalent fraction form for decimal 7.32
Step-by-step explanation:
Answer:
7 8/25
Step-by-step explanation: 183/25 = 7 8/25 = 7.32
Which of the equations below could be the equation of this parabola?
(0,0)
A. y = 5x2
B. x = -5y2
C. y = -5x2
D. x = 5y2
Answer:
Its B. x = -5y2
Step-by-step explanation:
The equation for the parabola is x = -5y² option (B) x = -5y² is correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have a graph of a parabola.
As we can, in the graph of a parabola:
The equation for the left side opening:
x = -ay²
Here a = 5
x = -5y²
Thus, the equation for the parabola is x = -5y² option (B) x = -5y² is correct.
Learn more about the parabola here:
brainly.com/question/8708520
#SPJ2
What is the value of the expression
401P + q?), when p = 49 and q = -2?
O A) 12
OB) 20
OC) 36
OD) 44
First person to answer will get 10 points :D
It's your birthday there are 27 kids in your class if each kid eats a maximum of nine cookies how many cookies do you need to bring?
Answer:
the maximum number would be 243 cookies
Step-by-step explanation:
As part of a science project, Andy surveys several students in his class to determine their energy levels throughout the day. He asks the students to rate their energy level on a scale from 1 to 10, where 10 is the highest energy level possible and 1 is the lowest energy level possible. Andy then finds the average energy level for the class for each hour after the school day begins until the end of the day. He graphs his data as shown below.
Answer:
if we are doing the same thing it should be D-Andy’s study shows neither correlation nor causation.
Step-by-step explanation:
The average energy of the class after a different number of hours is given below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
From the graph,
We can make two ordered pairs (x, y).
Where y = average energy level and x = the number of hours.
Now,
From the graph, we see that,
The average energy after 1 hour = 7
The average energy after 2 hours = 8
The average energy after 3 hours = 5
The average energy after 4 hours = 5
The average energy after 5 hours = 4
The average energy after 6 hours = 5
The average energy after 7 hours = 3
Thus,
The average energy of the class after a different number of hours is given above.
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ6
math come on try for me atleast
Answer:
86
Step-by-step explanation:
HELPPPPPP!!!! WILL BE MARKED BRAINLIEST AND GET 50 POINTS
FIND THE INTERVAL OF THE CONVERGENCE
Answer:
Radius of convergence is 1/10
Step-by-step explanation:
QUICK PLS.
The sum of the measures of angle P and angle S is 140°.
• The measure in degrees of angle P is represented by the expression (5x + 30)°.
• The measure of angle S is 80°.
What is the value of x?
A. 38
B. 6
C. 10
D. 22
My teacher never reviews things correctly
Answer:
The anwser i think it's D
Step-by-step explanation:
You have four ice cubes in your cup of lemonade each ice cube has a length of 2 1/4 cm a width of 2 2/3 cm and a height of 2 cm what is the total volume of all the ice cubes
Answer: 6
Step-by-step explanation:
Pls help
This is due in 7 minutes
Answer:
17. The puppy will grow 16 in - ( 1 foot = 12in and 28-12=16)
Step-by-step explanation:
18 .
21; 17.5; 14; 10.5; and 7
3 x 7 = 21
2.5 x 7 = 17.5
2 x 7 = 14
1.5 x 7 = 10.5
1 x 7 = 7
solve for c. 9+10+6c= -1+8c
Answer:
c = 10
Step-by-step explanation:
9 + 10 +6c = -1 +8c
19 +6c = -1 + 8c
19 + 1+ 6c = -1 +1 + 8c
20 +6c -6c = 8c - 6c
20/2 = 2c/2
10 =c
In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class is an only child?
Answer:
your answer will be
2 and 1/12
Step-by-step explanation:
hope it helps you
have a great day!!
8.3 (repeating) percent or 2 out 24 children
A circular path 2 feet wide has an inner diameter of 250 feet. How much farther is it around the outer edge of the path than around the inner edge? Round to nearest hundredth. Use 3.14 for π. HELP ASAP
Answer: 125
Step-by-step explanation
Answer:
25.12
Step-by-step explanation:
That is the correct answer. Thank you! :)
Please answer the question below:
Answer:
A 12 x 6
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
Study figures A and B. Each shows a base and height
labeled. Which figure is correctly labeled?
O Figure A is correctly labeled.
O Figure B is correctly labeled
O Both figures are correctly labeled.
Answer: B
Step-by-step explanation:
Answer:
The Answer is option 2
Step-by-step explanation:
somebody please help, I'm stuck and cannot get past this. I'll give brainliest to first correct answer!!
In the triangle below, x= [? ]°. Round to the nearest tenth. 17 cm 9 cm 90° V Enter
Answer:
x = 58°
Step-by-step explanation:
cos x = 9/17 = 0.5294
x = 58.03°
Renata and her family go through an average of more than 15 cans of sparkling water each day. They buy cases of 24 cans at $3.50 a case. Write an inequality for the number of cases they go through in 30 days.
Answer: The inequality required to express the above condition is x ≥ 18.75
Step-by-step explanation:Renata and her family go through an average of more than 15 cans of sparkling water each day.
The number of cases of 24 cans of sparkling water.
We can take the number of cases to be x.
Each case is said to cost $3.50.
An inequality for the number of cases that Renata's family go through in 24 days can be written as
x ≥ ⇒ x ≥ ⇒ x ≥ 18.75
Therefore the inequality required to express the above condition is
x ≥ 18.75
15 Points!! need help❤️
Answer:
70 degrees
Step-by-step explanation:
The measure of the central angle equal the measure of the arc it intercepts.
So arc BC is 70 degrees.
A number from 8 to 15 is drawn at random. What is the probability that the number is an even number? O 211 CD A/7 o 5/8 HKD 118 O 1/2
Answer:
4/7
Step-by-step explanation:
numbers between 8 to 15 is 7
so d even numbers are 4
that is d answer is 4/7
The probability that the number is an even number is 1/2.
What is the probability?The probability is defined as the ratio of number of favourable outcomes and the the total number of possible outcome.
A number from 8 to 15 is drawn at random.
The number between 8 to 15 are 8, 9, 10, 11, 12, 13, 14, 15 = 8
Total even number = 8, 10, 12, 14 = 4
The probability that the number is an even number is;
[tex]\rm Probability =\dfrac{Total \ even \ number }{Total \ numbers}\\\\ Probability =\dfrac{4}{8}\\\\ Probability =\dfrac{1}{2}[/tex]
Hence, the probability that the number is an even number is 1/2.
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ2
PLS HELP WILL GIVE BRAINLESS
Answer:
1a. 3/8
1b. 4/12-1/3
Step-by-step explanation:
to get the answers you have to find a common denominator and then add them
Answer:
The answer would be
a) 3/8
b) 1/3
Solve the exponential equation.
9x = 27
2/3
3
3/2
Answer:
3
Step-by-step explanation:
I did the math
Answer:
3
Step-by-step explanation:
What is the area of the base of the prism?
Answer:
your answer will be 6cm^2
Step-by-step explanation:
hope it helps you
have a great day
A number decreased by 90 is 22.
Answer:
112
Step-by-step explanation:
x - 90 = 22
add (solve for x)
x = 112