Answer:
[tex] \boxed{ \bold{ \boxed{ \sf {11.11\%}}}}[/tex]
Step-by-step explanation:
Given,
Cost price of three thermos flask = 1080
Selling price of each thermos flask = 400
Finding the selling price of three thermos flask
Since, the cost of 3 thermos flask is more than that of 1 thermos flask. So, the cost of 1 thermos flask is multiplied by 3 ( i.e 400 × 3 = 1200 )
Here, the selling price is greater than cost price.
So, there is profit.
And we know that,
[tex] \sf{profit = sp \: - \: cp}[/tex]
⇒[tex] \sf{1200 - 1080}[/tex]
⇒[tex] \sf{120}[/tex]
Profit amount = 120
Finding the profit percentage
[tex] \sf{profit\% \: = \frac{profit}{cp} \times 100 \%}[/tex]
⇒[tex] \sf{ \frac{120}{1080 } \times 100\%} [/tex]
⇒[tex] \sf{11.11\%}[/tex]
Hope I helped!
Best regards!!
caley is making some punch for her birthday party.She mixes 1/2 litre of cranberry juice,1/1/2 litres of apple juice,2/3 litre of orange juice and 4/5 litres of pineapple juice.She has a bowl that will hold 4 litres.Will this be enough to contain all of the punch?
Answer:
yes it will contain it
Step-by-step explanation:
.5 + 1.5 + .66 + .8 = 3.46
An irrational number is considered irrational if it meets one of two rules. What are the two rules?
Answer:
Step-by-step explanation:
A number that cannot be exactly expressed as a ratio of two integers.
An irrational number cannot be written as a simple fraction.
Pi is a famous irrational number.
find the range of the following functions.f(x)=2+5sin3x
Answer:
Range: [-3, 7]
Step-by-step explanation:
Range is all the y-values that are outputted.
When we graph the equation, we should see our minimum y-value and maximum y-value.
Why is it important to have a control group in an experiment of investigation?
Answer choices-
•To show what happens when the dependent variable is not changed.
•To see how the dependent variable changes the dependent variable is not involved.
•To compare the results when the independent variable is not involved.
•To allow the researchers to change the dependent variable as they wish.
Answer:
I think its A
Step-by-step explanation:
Sorry if I'm wrong
Can someone help me
Answer:
4 is the answer
Step-by-step explanation:
8 + x + 2 = 4x -2
8 + 2+ 2 = 4x - x
12 = 3x
x =12/3 = 4
how would i simplify the expression?
which expression is equivalent to 1/2 x + (-7) -2 q/4 x - (-2) ?
Answer:
−1 /2 qx+ 1 /2 x-5
Step-by-step explanation:
Let's simplify step-by-step.
1 /2 x−7− 2q/ 4 x−(−2)
= 1 /2 x+−7+ (−1/2) qx+2
Combine Like Terms:
= 1 /2 x+−7+ (−1 /2 qx+2
=( −1 /2 qx)+( 1 /2 x)+(−7+2)
= −1 /2 qx+ 1 2x+−5
Answer:
= −1 /2 qx+ 1 /2 x-5
HOPE THIS HELPS!!!!!! :)
<3333333333
an article bought for rs 550 is sold at a profit of purchased at rs 20 percentage find the selling price
Answer:
cp is rupees 5000
Step-by-step explanation:
11x/10 -21x-/20= 250
then do lcm and answer will come x= 5000
What is the area of the triangle given below?
5
14
A. 70 sq. units
B. 38 sq. units
C. 19 sq. units
D. 35 sq. units
Answer:
35
Step-by-step explanation:
Need Help PLEASE Ex 1:A scale model of a human heart is 196 inches long. The scale is 32 to 1. how many inches long is the actual heart? (can someone explain to me how to do this i have many other questions like this)
Answer: The actual heart is approximately 6.125 or rounded to 6
Step-by-step explanation: Divide the scale model 196 inches by 32 (the scale)
Which figure is described below?
The locus of points 6 units from the
point (1, -2) on the coordinate plane.
Answer:
C; Circle
Step-by-step explanation:
In this question, we are interested in giving a term to the locus of points which are at a certain distance from a fixed point.
The correct answer to this is a circle.
From the question, we can picture a situation which we have the point (1,2) as the center of the circle. This point serve the starting point in which all other points which are exactly 6 units away are plotted.
Thus, from this center point, we can mark off several points around the center point. By tracing the marked points from these center, we can obtain a circular path which when traced completely will give us the identity of a circle, where these points represent the line bounding the circle which is referred to the circumference of the particular circle in question.
Further more, from the definition of the radius of a circle, it is the distance from the center of a circle to the circumference. While the point (1,2) represents the center of the circle in question, the distance 6 units stand for the radius of the circle.
Answer:
circle
Step-by-step explanation:
can someone help me? “Fond the measure of the missing angle” pleaseee
Answer:
It's Below.
Step-by-step explanation:
1) 180° - 124° = 56°
2) 90° - 58° = 32°
3) 90° - 34° = 56°
4) 180° - 107° = 73°
Don't forget to put the degrees symbol! :)
AB = 2x-5 BC = 6x AC = 27
Answer:
correct answer is x = 2.75
Step-by-step explanation:
Given;
AB = 2x-5
BC = 6x
AC = 27
Hence,
=> AC = AB + BC
=> 27 = 2x-5 + 6x
=> 27 = 8x-5
=> 27-5 = 8x
=> 22 = 8x
=> 22/8 = x
=> 11/4 = x
or
2.75 = x
5 solve the literal equation 2y = x+3 for x
Answer:
[tex]x=2y-3[/tex]
Step-by-step explanation:
So we have the equation:
[tex]2y=x+3[/tex]
And we want to solve it for x. In other words, we want to isolate the x-variable. To start, first subtract 3 from both sides. The right side cancels:
[tex](2y)-3=(x+3)-3\\2y-3=x[/tex]
And, that's it :)
If preferred, we can also switch the equation around using the symmetric property:
[tex]x=2y-3[/tex]
Answer:
[tex]\Large \boxed{\sf{x=2y-3}}[/tex]
Step-by-step explanation:
[tex]\sf We \ have \ the \ equation: \\ \\ 2y = x+3 \\ \\ We \ need \ x \ on \ one \ side \of \ the \ equation. \\ Solve \ for \ x. \\ \\ Subtract \ 3 \ from \ both \ sides. \\ \\ 2y-3=x+3-3 \\ \\ Simplify \ the \ equation. \\ \\ 2y-3=x[/tex]
A logarithm question: 3² +㏒₂5
Answer:11.322
Step-by-step explanation:
3^2 + log2 5 =9+(ln5/ln2)=9+2.322=11.322
Please help as soon as possible Will mark brainliest
Answer: 18
Step-by-step explanation: The formula for circumference is 2piR. Since 2piR = 36pi, you can cancel out the pi's which makes it 2r = 36. Divide by 2 on both sides and you get r = 18.
Skate station charges a flat rate of $5.00 for skate rental plus $2.00 per hour of skating. If the number of hours is represented by "h," which algebraic expression represents the overall rate for "h" hours of skating?
Answer:
The answer is 5+2h because it is $2 per hour so 2h and $5 per day. it does not have a variable for $5 per day
What is 0.6 as a simplified fraction?
Answer
3/5
0.6 / 1 = 6 / 10 = 3/5
Answer:
3/5
Step-by-step explanation:
0.6=6/10
[dividing through by two]
=3/5
Add brackets to the following equation to make it time. 1 + 72 ÷4 × 2 =10
Answer:
1 + 72 ÷4 × 2 =10 with brackets it equals 10
1 + (72 ÷ (4 × 2)) =10
Step-by-step explanation:
Popular magazines rank colleges and universities on their ""academic quality"" in serving undergraduate students. Describe two categorical variables and two quantitative variables that you might record for each institution.
Answer:
Quantitative: i) The number of students in the school vis - a - vis the number of classes in the school. In order words, simply number of students per class
ii) The rate of graduation of students.
Categorical:i) Courses being taken by students
ii) Region of country of students.
Step-by-step explanation:
To answer this question effectively, it's important for us to know that a quantitative variable usually has numerical values, and also have units of measure as well while categorical variables simply places each student into a specific category.
Now, the two quantitative variables we will consider are;
i) The number of students in the school vis - a - vis the number of classes in the school. In order words, number of students per class
ii) The rate of graduation of students.
Also, the two categorical variables we will consider are;
i) Courses being taken by students
ii) Region of country of students
-1+(-4)= -1-___ can you please help
Answer: -1+(-4)=-1-4
Step-by-step explanation:
-1+(-4)=-1-4
------------------
numbers after (+) sign, no need to change signs
the number after (+) is -4, so we keep the (-) sign, which will be:
-1+(-4)=-1-4
Hope this helps!! :)
help me yall this for me aint it.
Answer:
20(4 + 5)
Step-by-step explanation:
GCF is just the biggest number each value can be divided by. Here, it's 20, so that goes outside of the parenthesis. Now, what can you multiply by 20 to get 80? 4, so that goes in the second box. What can you multiply by 20 to get 100? 5, so that goes in the last box. You can check your answer by doing 80 + 100 = 180; 20(9) = 180.
So you have to find the GCF (Greatest Common Factor) or 80 and 100, which is 20.
20(?+?)
20 times what gets you 80?
20 times 4 gets you 80.
20 times what gets you 100?
20 times 5 gets you 100.
20(4+5) = 80+100 = 180
♡ Hope this helped! ♡
❀ 0ranges ❀
Evaluate y5 + x(-7)
When x = 2, y = -5
Answer:
45
Step-by-step explanation:
OK, first we turn the variables into into the actual values:
The equation will look like this:
(2)5 + (-5)(-7)
Now its easier to solve! Lets solve (2)5!
2 * 5 = 10
The equation looks like:
10 + (-5)(-7)
We will also solve (-5)(-7). Remember that a negative number times a negative number is positive!
-5 * -7 = 35
Lets finish the rest:
10 + 35 = 45.
Hope this is correct and have a nice day!
Christine went shopping and bought each of her eight nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $131.18 on the gifts. How many
videos and how many CDs did she buy?
Answer:
Step-by-step explanation:
Define number of videos purchased as "n" and number of CD's purchased as "c" then we can equation the total purchases and the costs by:
8 nephews:
n + c = 8
Spent $121.53
14.95*n + 16.88*c = 121.53
Substitute one variable as a function of the other. Preference the simpler equation (n + c = 8)
n = 8 - c
=>
14.95*(8-c) + 16.88c = 121.53
119.60 + 1.93c = 121.53
1.93c = 1.93
c = 1
=>
n = 7
*Check:
14.95*(7) + 16.88*(1) = 121.53
im so sorry if this is wrong :/
Pls help !!!!
A video game designer places an anthill at the origin of a coordinate plane. A red ant
leaves the anthill and moves along a straight line to (1, 1), while a black ant leaves the
anthill and moves along a straight line to (1, -1). Next, the red ant moves to (2, 2), while
the black ant moves to (-2,-2). Then the red ant moves to (3, 3), while the black ant
moves to (-3, -3), and so on. Complete the explanation of why the red ant and the black
ant are always the same distance from the anthill,
At any given moment, the red ant's coordinates may be written as (a, a) where a > 0. The
red ant's distance from the anthill is . The black ant's coordinates may be written
as (-a, -a) and the black ant's distance from the anthill is . This shows that at
any given moment, both ants are
units from the anthill.
Answer:
At any given moment, the red ant's coordinates may be written as (a, a) where a > 0. The red ant's distance from the anthill is [tex]a\sqrt{2}[/tex] . The black ant's coordinates may be written as (-a, -a) and the black ant's distance from the anthill is [tex]a\sqrt{2}[/tex] . This shows that at any given moment, both ants are [tex]a\sqrt{2}[/tex] units from the anthill.
Step-by-step explanation:
Given:
red ant's coordinates written as (a,a)
black ant's coordinates are written as (-a, -a)
To find:
The distance of red and black ants from anthill
Solution:
Compute the distance of red ant from the anthill using distance formula
d (red ant) = [tex]\sqrt{(a-0)^{2}+ (a-0)^{2}}[/tex]
= [tex]\sqrt{a^{2} + a^{2} }[/tex]
= [tex]\sqrt{2a^{2} }[/tex]
= [tex]a\sqrt{2}[/tex]
So distance of red ant from anthill is [tex]a\sqrt{2}[/tex]
Compute the distance of black ant from the anthill using distance formula
d (black ant) = [tex]\sqrt{(-a-0)^{2}+ (-a-0)^{2}}[/tex]
= [tex]\sqrt{(-a)^{2} + (-a)^{2} }[/tex]
= [tex]\sqrt{a^{2} + a^{2} }[/tex]
= [tex]\sqrt{2a^{2} }[/tex]
= [tex]a\sqrt{2}[/tex]
So distance of black ant from anthill is [tex]a\sqrt{2}[/tex]
Hence both ants are [tex]a\sqrt{2}[/tex] units from the anthill.
What is the y-intercept of the graph? Thank you!!
Answer: 4
Step-by-step explanation: The y-intercept is a point
where a line crosses the y-axis.
All y-intercepts have an x-coordinate of zero.
The equation shown here is in slope-intercept form or y = mx + b form.
In this form, the m represents the slope and the b is y-intercept.
So here, we can tell that the y-intercept is 4.
The Trumbull Tree Farm sold 390 trees last week. All of the trees were either evergreens, oaks, or maples. Twice as many oak trees as evergreen trees were sold. 5 times as many maple trees as oak trees were sold.
How many oak trees were sold last week?
Answer:
60
Step-by-step explanation:
We can use x to represent the number of oak trees.
This means evergreen trees will be 1/2x and 5x will be the maple trees.
Set up an equation:
x + 1/2x + 5x = 390
6.5x = 390
x = 60
So, 60 oak trees were sold last week.
A small ball floats on the surface of the water in a wave pool. As a wave moves past the ball, the ball's
height above the bottom of the pool varies from 22 inches to 34 inches. The waves occur every
6 seconds. Which function models the distance from the bottom of the pool to the ball, as it moves
from wave crest to wave crest, as a function of t in seconds?
d(t) = 12 cos(3At) + 28
d (t) = 6 cos(3mt) + 28
34 in.
d(t) = 6 cos (+) +
+ 28
22 in
d(t) = 12 cos( 5 ) + 28
Answer:
The correct option is;
d(t) = 6·cos(π/3·t) + 28
Step-by-step explanation:
The general form of a cosine function is given as follows;
y = A·cos(B·x - C) + D
Where;
A = The amplitude = The distance from the peak to the midline = 1/2×(Maximum - minimum)
The amplitude = 1/2 × (34 - 22) = 6 inches
B = 2·π/P = 2·π/6 = π/3
P = The period = 6 seconds
C/B = The phase shift
D = The midline = Minimum + Amplitude = 22 + 6 = 28 inches
x = The independent variable
Therefore, to model the function of the wave can be given as follows;
d(t) = 6·cos(π/3·t) + 28
A function that models the distance from the bottom of the pool to the ball, as it moves from wave crest to wave crest, as a function of t in seconds is [tex]d(t)= 6cos(\frac{\pi}{3} t) + 28[/tex]
The standard wave equation is expressed as;
[tex]y=Acos(Bx-C)+D[/tex] where:
A is the amplitude
Get the amplitude:
[tex]A=\frac{1}{2}(34-22)\\A=\frac{1}{2}(12)\\A= 6\\[/tex]
If the wave occurs every 3 seconds, then:
[tex]B=\frac{2 \pi}{k} \\B=\frac{2\pi }{6}\\B=\frac{\pi}{3}[/tex]
Get the midline D
[tex]D=minimum + amplitude\\D=22+6\\D = 28[/tex]
Substitute the given parameters into the equation above to have;
[tex]y= 6cos(\frac{\pi}{3} t) + 28[/tex]
Hence a function that models the distance from the bottom of the pool to the ball, as it moves from wave crest to wave crest, as a function of t in seconds is [tex]d(t)= 6cos(\frac{\pi}{3} t) + 28[/tex]
Learn more here: https://brainly.com/question/25524388
6. Simplify: i) (a + b)(5a – 3b) + (a – 3b)(a – b) ii) (a – b) (a2 + b2 + ab) – (a + b) (a2 + b2 – ab) iii) (b2 – 49) (b + 7) + 343 okay, I know I posted this question before but, if you're giving your answers, please explain how you got it,
Answer:
Step-by-step explanation:
6. I will multiply then I respect the sign rules
- * - = +
- * + = -
I will atach the file immediately.
I multiplied the paranthesis and then I added the results
Answer:
i)6a^2-2ab-6b^2
ii)ab^2-1a^2b
iii)b^3-42b
Step-by-step explanation:
Use distributive property
Collect like terms
(a+b)(5a-3b)+(a-3b)(a-b)
(a+b)(5a-3b)---- Distributive property
5a^2-3ab+5ab-3b^2
5a^2+5ab-3ab-3b^2
5a^2+2ab-3b^2
(a-3b)(a-b)
a^2-ab-3ab-3b^2
a^2-4ab-3b^2
So,
5a^2+2ab-3b^2+a^2-4ab-3b^2---Collect like terms
5a^2+a^2+2ab-4ab-3b^2-3b^2
6a^2-2ab-6b^2
(a–b)(a^2+b^2 +ab)–(a + b)(a^2+b^2 –ab)
(a–b)(a^2+b^2 +ab)----Distributive property
a^3 since a^(1+2)=a^3
a^3+ab^2+a^2b-ba^2-b^3-ab^2
a^3+ab^2-ab^2+a^2b-ba^2-b^3
a^3+a^2b-a^2-b^3
a^3-b^3
(a+b)(a^2+b^2-ab)
a^3+ab^2-a^2b+ba^2+b^3-a^2b
a^3+ab^2+ba^2+b^3-a^2b-a^2b
a^3+ab^2+ba^2+b^3-2a^2b
So,
a^3-b^3-a^3+ab^2+ba^2+b^3-2a^2b--Collect like terms
a^3-a^3-b^3+b^3+ab^2-2a^2b+a^2b
ab^2-1a^2b
(b^2–49)(b + 7)+343---Distributive property
b^3+7b-49b-343+343---Collect like terms
b^3-49b+7b
b^3-42b
Hope this helps ;) ❤❤❤
The price of bananas can be determined by the equation p=0.45n where p is the price and n is the number of bananas. What is the constant of proportionality (unit rate)
Answer:
The constant of proportionality is 0.45.
Step-by-step explanation:
The constant of proportionality is the ration of two different quantities or is the unit value of a quantity.
The expression representing the price of bananas is:
[tex]p=0.45n[/tex]
To determine the unit rate of bananas divide the price by the number of bananas.
[tex]\text{Unit Rate}=\frac{p}{n}[/tex]
[tex]=\frac{0.45n}{n}\\\\=0.45[/tex]
Thus, the constant of proportionality is 0.45.