Answer:
Rs 60
Step-by-step explanation:
[tex]5x \times (1+25\%)+5x \times (1-16\frac{2}{3}\%)=625[/tex]
[tex]5x(1+0.25)+5x(1-1/6)=625[/tex]
[tex]5x(1.25)+5x(5/6)=625[/tex]
[tex]10.416667x=625[/tex]
[tex]\frac{10.416667x}{10.416667}=\frac{625}{10.416667}[/tex]
[tex]x=59.99999...[/tex]
[tex]x=60[/tex]
Which representation represents a proportional relationship? A x 2 4 6 8 y 6 8 10 12 B y = 2 x + 2 C On a coordinate plane, a line goes through points (negative 1, 0) and (0, 1). D x 4 7 12 15 y 8 14 24 30 A B C D
Answer:
(D)
Step-by-step explanation:
A proportional relationship is in the form of y=kx where k is the proportionality constant.
From the given options:
Consider the pairs (x,y) in Option D
(4,8),(7,14)(12,24),(15,30)
When y=8, x=4, Substituting into y=kx, we have: 8=4k and k=2When y=14, x=7, Substituting into y=kx, we have: 14=7k and k=2When y=24, x=12, Substituting into y=kx, we have: 24=12k and k=2When y=30, x=15, Substituting into y=kx, we have: 30=15k and k=2We can see that the proportionality constant is equal for the four pairs. Therefore, the set of pairs in Option D represents a proportional relationship.
Answer:
the correct answer is D
Step-by-step explanation:
just got it right on edge 2020
Help please!!! A.) C and B B.) C and D C.) L and W D.) A and B
The number is even. It is more than 1 but less than 100. Is it greater than 20. It is less than 5×7. The sum of the digits is 6. Is it evenly divisible by 4
Answer:
24
Step-by-step explanation:
Alright so the number has to be above 20 and below 35.
It has to be even, so our options are 22, 24, 26, 28, 30, 32, 34
Since the sum of the digits has to be 6, the only number from that list that it can be is 24.
This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.
Hope this helps!
Answer:
24
Step-by-step explanation:
This works because 24 is also evenly divisible by 4 (6x4=24) so it fits all of the criteria.
Hope this helps!
which equation is represented by the graph below
Answer:
C). y = ln x + 4
Step-by-step explanation:
First off, we can cancel out the [tex]e^{x}[/tex] graphs.
Now looking at the graph, one can see that when x = 1, y = 4.
So for each [tex]ln[/tex] function, plug in 1 for x.
In doing this, one will find that y = ln x + 4 is the only [tex]ln[/tex] graph that produces 4 when x = 1.
Alex and Thomas share 30 sweets. They divide them in the ratio 3:2.How many sweets does Alex and Thomas receive?
Answer:
Alex: 18
Thomas: 12
Step-by-step explanation:
A : T : TOTAL
3 : 2 : 3 + 2 = 5
total number of units : 5
total number of sweets : 30
1u = 30 ÷ 5 = 6
Alex = 3u = 3 × 6 = 18
Thomas = 2u = 2 × 6 = 12
0.8 divided by 0.2 equals?
Answer:
4
Step-by-step explanation:
A new television set was recently purchased for the common room in a Residence Hall for $ 499.20 including tax. If the tax rate is 4 %, find the price of the television set before taxes. $______(Type an integer or a decimal rounded to two decimal places.)
Answer: $479.20
Step-by-step explanation:
[tex]499.20*0.04=19.968[/tex]
[tex]round \\[/tex] [tex]19.968[/tex]
= 20
tax= $20
[tex]499.20-20=479.2[/tex]
The price of the TV before tax was $479.20
Select the correct shapes.
Select the shapes that are similar to shaoe A
Answer:
A , B and C are similar to each other
Step-by-step explanation:
Please give me branlest
Jason went shopping he bought a watch and a pair of trainers for a total price of £53.55 this price includes a 15% loyalty discount. before the discount, the trainers were priced at £38 work out the price of the watch before the discount
please help me
I'm struggling
Answer:
£25
Step-by-step explanation:
Total price- £53.55
Pair of trainers cost- £38 before discount
Discount= 15%
Cost of pair of trainers after discount:
£38 - 15%= £38*0.85= £32.3Price of the watch after discount:
£53.55 - £32.3= £21.25Price of the watch before discount:
£21.25/0.85= £25What are the coordinates of M' after triangle MNO is reflected over the y-axis, and rotated 90 degrees clockwise with
the origin as the center of rotation?
Answer:
I'm not sure, but I think it is (0, -6).
The distance between points (X7, Yı) and (4, 8) is the square root of (x7 - 8)2 +
(1-4)²
A. True
B. False
Answer:
B. False
Step-by-step explanation:
Given
[tex]Points: (x_7 - y_i),(4,8)[/tex]
Required
Is the distance between them [tex]\sqrt{(x_7 - 8)^2 + (y_1 - 4)^2}[/tex]
Given that there are two points, the distance between them is calculated using
Distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
In this case;
[tex](x_1,y_1)= (x_7 - y_i)\\(x_2,y_2) =(4,8)[/tex]
Substitute these in the given formula
Distance = [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]
Comparing this with the given formula, both are not the same;
Hence, the formula is false and the correct formula is of the form [tex]\sqrt{(4- x_7)^2 + (8 - y_1)^2}[/tex]
PLEASE HELP! WILL MARK BRAINLIEST! THANK YOU! How many 2-digit numbers are among the terms of the arithmetic sequence 2, 7, 12, 17, ...?
Answer:
18 2-digit numbers.
Step-by-step explanation: There is
12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97. :)
hope this helps
Answer:
I believe the answer is 18 2 digit numbers
Step-by-step explanation:
I just counted them :)
12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97
These are all the 2 digit numbers!
Solve for b. ab+c=d
B=a+c/d
B=a/(c-d)
B=(d-c)/a
Answer:
b = (d-c)/a
Step-by-step explanation:
ab+c=d
Subtract c from each side
ab+c-c=d-c
ab = d-c
Divide by a
ab/a = (d-c)/a
b = (d-c)/a
Answer:
B is my best guess!
Step-by-step explanation:
What does an individual’s effective tax rate indicate?
A.
the average income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year’s tax rate
Answer:
the answer is B
Step-by-step explanation:
100 on the plato test
Answer:
A. the average income earned
B. the average tax rate
C. the minimum tax rate
D. the next year's tax rate
Step-by-step explanation:
Plato Users
Solve the equation. 1.25 =0.75+r
Answer:
0.50
Step-by-step explanation:
Do the opposite of addition
So 1.25 - 0.75
The solution to the equation 1.25 = 0.75 + r for r is r = 0.5
How to determine the solution to the equation for rFrom the question, we have the following parameters that can be used in our computation:
1.25 = 0.75 + r
Add -0.75 to both sides of the equation
so, we have the following representation
-0.75 + 1.25 = 0.75 + r + -0.75
Evaluate the like terms on the right hand side
This gives
-0.75 + 1.25 = r
Evaluate the like terms on the left hand side
This gives
0.5 = r
Rewrite as
r = 0.5
Hence. the solution is 0.5
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Lucas is selling ribbons to raise money—PLEASE HELP will mark brainliest
Answer:
184
Step-by-step explanation:
46 divided by .25
Answer:
200 Ribbons
Step-by-step explanation:
To break even Lucas needs to sell 200 ribbons --> this is because, =>
let's make an expression for this equation -->
x = amt. of ribbons
y = expense or revenue
x(0.25) = y + x(0.02)
Let's plug he given in --> 0.25x = 46 + 0.02x -->
now we can solve => x = 200
Hope this helps!
find the axis of symmetry of this parabola y=-x^2-2x-5 write your answer as an equation
Answer:
axis of symmetry: x=-1
Step-by-step explanation:
Solve px + 12 = 17 for x.
A. x =5/p
B. X =29/p
C. X= 5-p
D. x = p + 5
Answer:
A. [tex] x = \frac{5}{p} [/tex]
Step-by-step explanation:
[tex]px + 12 = 17 \\ px = 17 - 12 \\ px = 5 \\ x = \frac{5}{p} [/tex]
George Washington was born on 2-22-1732. He died in 1799 at the age of 67. The month in which he died and the day of the month on which he died are consecutive even integers whose product is 168. When did Washington die? month day year
Answer:
George Washington died on December 14th, 1799
Numerical with the arrangement: month - day - year
12 - 14 - 1799
Step-by-step explanation:
In the question, we are told that: the month in which he died and the day of the month on which he died are consecutive even integers whose product is 168.
Therefore,
If one positive even integer = Month he died is represented by x
The second consecutive even integer = Day he died = x + 2
Their product =
x ( x + 2) = 168
x² + 2x = 168
x² + 2x - 168 = 0
We factorise
x² + 14x - 12x - 168 = 0
(x² + 14x) - (12x - 168) = 0
x(x + 14) - 12(x + 14) = 0
(x - 12)(x + 14) = 0
x - 12 = 0, x = 12
x + 14 = 0 , x = -14
Our answer cannot be a negative interger, hence x = 12
So the first positive even integer = 12
The second positive even integer = x+2 = 12 + 2 = 14
Therefore, the month he died = n = 12th month = December
The day he died = n + 2 = 14 = 14th day.
Hence, George Washington died on December 14th, 1799
Numerical with the arrangement: month - day - year
12 - 14 - 1799
given
[tex] log(x) = 2 \: and \: log(y) = - 1[/tex]
prove that
[tex]xy - 100y {}^{2} = 9[/tex]
Step-by-step explanation:
[tex] log(x) = 2 \\ {10}^{2} = x \\ x = 100[/tex]
then for y:
[tex] log( y) = - 1 \\ {10}^{ - 1} = y \\ y = 0.1[/tex]
so:
[tex]xy - 100 {y}^{2} \\ = 100 \times 0.1 - 100 \times {(0.1)}^{2} \\ = 10 - 100 \times 0.01 \\ = 10 - 1 \\ = 9[/tex]
Alex drives at an average speed that is 3/4 of the average speed that Roy's train travels. Alex takes 40 minutes to travel 65 km in her car. Roy travels for 1 hour and 15 minutes on his train. How far does Roy travel to 2 dp?
Answer:
Distance = 162.5 to 2dp.
Step-by-step explanation:
Alex car drives 65km = 40mins we round up to 1hr
= 1/2 x 65 + 65 = 32.5 +65 = 97.5 km p/h
Roy is 1/4 faster (As Alex speed is 3/4 of Roy)
To find 3/4 we divide by 3 then, add the 97.5 km etc..
97.5/3 = + 32.5km = 130 km/ph
To check we only have to divide by 4
130 / 4 = 32.5
We know 32.5 is 1/4 we can add this on as 15minutes.
130 km = 1hr +
32.5 km = 15 mins
Distance = 162.5 km
Answer:
162.50 km
Step-by-step explanation:
Alex: 40 minutes for 65 km
speed = distance/time = (65 km)/(40 min) * (60 min)/(1 hr) = 97.5 km/h
Alex's speed = 3/4 of Roy's speed
Roy's speed = (Alex's speed)/(3/4) = (97.5 km/h)/(0.75) = 130 km/h
speed = distance/time
distance = speed * time
time = 1 hour + 15 minutes = 1 hour + 15/60 hour = 1.25 hour
distance = 130 km/h * 1.25 hour = 162.50 km
What is the volume of the rectangular prism below? (Don't forget to
label your answer!)
Answer: 84 3/8 or 84.375 inches cubed
Step-by-step explanation:
4 1/2 * 5 = 22 1/2
22 1/2 * 3 3/4 = 45/2 * 15/4 = 675/8
675/8 = 84 3/8 or 84.375
HELP AM BEING TIMED!!!!!!!!!!
Answer: A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
just got it right EDG 2021
15. Solve for x in the diagram.
Х
9
12
A. 15
B. 25
C. 14
O D. 37
Answer:
15Solution,
Hypotenuse(h)=X
Perpendicular (p)=9
Base(b)=12
Now,
Using Pythagoras theorem,
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {(9)}^{2} + {(12)}^{2} \\ or \: {x}^{2} = 81 + 144 \\ or \: {x}^{2} = 225 \\ or \: x = \sqrt{225} \\ or \: x = \sqrt{ {(15)}^{2} } \\ x = 15[/tex]
hope this helps...
Good luck on your assignment...
The length of the hypotenuse in the given triangle is A. 15 units.
This type of question makes a right-angled triangle that can be solved by Pythagoras's theorem.
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
Given, the base of the triangle is 12 units and the height is 9 units.
∴ x² = 9² + 12².
x² = 144 + 81.
x² = 225.
x = + 15 units.
So, the length of the hypotenuse is 15 units.
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Same question need help asap!
Answer:
Nico's method is correct
Step-by-step explanation:
Lauren carelessly forgot to add the negative sign
[tex]-\frac{4}{5} = \frac{-4}{-5}[/tex]
whats the difference between a sequence and a series?
Answer:
A sequence is defined as an arrangement of numbers in a particular order. On the other hand a series is defiend as the sum of the elements of a sequence!
Use the zero product property to find the solutions to the equation x2 - X-6 = 0.
x= -3 or x = -2
x= -3 or x = 2
Ox= -2 or x= 3
O x= 2 or x = 3
Answer:
third option
Step-by-step explanation:
Given
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Answer:
x = -2 or x = 3
Step-by-step explanation:
The answer to your question is C.
what is the area of the obtuse triangle given below
Answer:
The answer is A
Step-by-step explanation:
The formula used to find the area of a triangle is 1/2base *height
The base is 16 so half of 16 is 8 then multiply it with the height 8 to get 64.
Area of obtuse triangle is 64 sq. units
What is obtuse triangle?"A triangle whose any one of the angles is an obtuse angle or more than 90 degrees, then it is called obtuse-angled triangle or obtuse triangle."
Given
Base of triangle = 16
Height of triangle = 8
Formula to find the area of obtuse triangle
A = [tex]\frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]
A = [tex]\frac{1}{2}[/tex] × [tex]16[/tex] × [tex]8[/tex]
A = 8 × 8
A = 64
Hence, Area of obtuse triangle is 64 sq. units
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The area of a triangle is 1,440 cm2. The base of the triangle is 5 times the height. What is the height of the triangle? Answers= A. 12 cm B. 24 cm C. 46 cm D. 60 cm
Answer:
The height of the triangle is 24 cm.
Which statement about the function is true?
O The function is positive for all real values of x where
The function is negative for all real values of x where
-6exs-2.
O The function is positive for all real values of x where
X-6 orr-3
O The function is negative for all real values of x where
x<-2
Answer:
Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.
Step-by-step explanation:
As given in the graph,
Given function is a quadratic function, f(x) = (x + 2)(x + 6)
With x-intercepts of the function, x = -6 and -2
Graph below the x-axis represents the negative values of the function.
Graph above the x-axis represents the positive values of the function.
Therefore, function f(x) is positive for the values x ≤ -6 and x ≥ -2 and the function is negative in the interval -6 ≤ x ≤ -2.