Answer:
27 7/9%
Step-by-step explanation:
Take the selling price and subtract the cost
920 -720 = 200
Divide it by the cost
200/720
.27777777
Change to percent form
27.777777%
27 7/9%
Answer:
profit percentage = 27.8 %Step-by-step explanation:
To find the percentage of profit we use the formula
[tex] \frac{profit}{cost \: \: price \: } \times 100[/tex]
Subtract the cost price from the selling price to obtain the profit
Cost price = Rs 720
Selling price = Rs 920
Profit = Rs 920 - Rs 720 = Rs 200
So the profit percentage is
[tex] \frac{200}{720} \times 100[/tex]
We have the final answer as
profit percentage = 27.8 %Hope this helps you
*This Question Has 3 Questions in it
Question 1 Use a calculator to find [tex]\sqrt{61.6}[/tex] to the nearest hundredth.
Question 2 Which of the following statements is true?
Refer to Question 2 . PNG
Question 3 simplify [tex]\sqrt{0.81}[/tex]
Answer:
Ques 1: 7.85
Ques 2: both [tex]\sqrt{0.25}[/tex] and [tex]-\sqrt{16}[/tex] are rational.
Ques 3: 0.9
Step-by-step explanation:
Ques 1:
Solving the [tex]\sqrt{61.6}[/tex], we get 7.8485.
Rounding off to nearest hundredth, we see that next digit is 8, so we increase the previous digit by 1.
So, the answer to nearest hundredth is 7.85.
Ques 2:
[tex]\sqrt{0.25}[/tex] and [tex]-\sqrt{16}[/tex]to be checked whether they are rational or irrational.
We know that [tex]\sqrt{16}[/tex] is equal to 4.
[tex]-\sqrt{16}[/tex] = -4 which is a rational value.
Let us solve [tex]\sqrt{0.25}[/tex] now.
[tex]\sqrt{0.25} = \sqrt{\dfrac{25}{100}}\\\Rightarrow \dfrac{5}{10}[/tex]
Which is a rational value.
So, both are rational.
Ques 3:
Simplify [tex]\sqrt{0.81}[/tex]
0.81 can be written as [tex]\frac{81}{100}[/tex] in rational form.
Now, taking the square root, we need to take the square root for both Numerator and Denominator and then we can divide to get the desired square root.
[tex]\sqrt{0.81} = \sqrt{\dfrac{81}{100}}\\\Rightarrow \dfrac{9}{10} = \bold{0.9}[/tex]
So, the answers are:
Ques 1: 7.85
Ques 2: both [tex]\sqrt{0.25}[/tex] and [tex]-\sqrt{16}[/tex] are rational.
Ques 3: 0.9
Do the ratios 2/3 and 12/18 form a proportion?
yes
no
Answer:
Yes
Step-by-step explanation:
Because 12/18 = 2/3..(cancel 12 and 18 by 6)
Answer:
yes
Step-by-step explanation:
2x6=12
3x6=18
6 is the multiplying number
( the 2 equations are the same amount )
A woman sold an article for 200 GH cedis and made a profit of 25%. Find the cost price of the article.
Answer:
160
Step-by-step explanation:
x = original price
x+ 25% x = 200
Change to decimal form
x + .25x = 200
1.25x = 200
Divide each side by 1.25
x = 200/1.25
x =160
The original price was 160
4. The rental for a television set changed from $80 per year to $8 per month
What is the percentage increase in the yearly rental?
Answer:
16%
Step-by-step explanation:
rental charge per year = $80
rental charge at the rate $8 per year = 8 * 12 = 96
the increased amount = 96 - 80 = 16
% = 16 / 100 = 16%
Question 6(Multiple Choice Worth 1 points) (06.01 LC) Choose the correct classification of 5x + 2x2 − 8 by number of terms and by degree. A.Third degree polynomial B.Fourth degree trinomial C.Second degree trinomial D.Sixth degree polynomial
Question 7: Choose the correct simplification of the expression (3x − 6)(2x2 − 4x − 5)
Answer:
C) 6x³ - 24x² + 9x + 30
Step-by-step explanation:
(3x - 6)(2x² - 4x - 5)
3x • 2x² = 6x³
3x • -4x = -12x²
3x • -5 = -15x
-6 • 2x² = -12x²
-6 • -4x = 24x
-6 • -5 = 30
Combine terms.
6x³ - 12x² - 15x - 12x² + 24x + 30
Combine like terms.
6x³ - 24x² + 9x + 30
Learn with another example:
https://brainly.com/question/28001380
Rodrigo and his cousin have 8 bags of marbles. Some of the bags contain 5 white marbles. The rest of the bags contain 7 pink marbles. They have 48 marbles in all. How many bags of each color marble do the cousins have?
Answer:
The cousins have 4 bags of white marbles and 4 bags of pink marbles.
Step-by-step explanation:
If x is the number of bags with white marbles and y is the number of bags with pink marbles, we can write the following system:
x + y = 8 -- Equation 1
5x + 7y = 48 -- Equation 2
5x + 5y = 40 -- Equation 3 (Multiply Equation 1 by 5)
2y = 8 -- (Subtract Equation 3 from 2)
y = 4 -- (Divide both sides by 2)
x + 4 = 8 -- (Substitute y = 4 into Equation 1)
x = 4 -- (Subtract 4 from both sides)
An_ is the set of numbers that include negative numbers
and the subset of_ numbers (...-3, -2, -1, 0, 1, 2, 3...). Also
described as positive numbers and their opposites and zero.
Blank 1:
Blank 2:
Answer:
Integer, rational
Step-by-step explanation:
An integer is normally described as a positive and their opposites and zero. The explaination for blank 2 is a rational number because a rational number can also be an integer and a whole number. Hope this helps!
Answer:
Step-by-step explanation:
The answer is integer. Integer are whole numbers that are either positive or negative including 0.
inscribed angles. help asap!
Answer:
20°
Step-by-step explanation:
The measure of the inscribed angle is equal to the half of the arc it sees
Since AC is the diameter the measure of arc ABC is 180°
and since A sees arc BC and C sees the arc AB
A< + C< = 90° so angle C = 20°
how do you solve this problem ? 4(-3x+1)-3x=71
Answer:
x = -67/15 = -4-46667
Step-by-step explanation:
4(-3x+1) - 3x = 71
4*-3x + 4*1 - 3x = 71
-12x + 4 - 3x = 71
-15x = 71-4
-15x = 67
x = 67/-15
x = -4.46667
check:
4(-3*-4.46667 + 1) - 3*-4.4666= 71
4(13.4+1) + 13.4 = 71
4*14.4 + 13.4 = 71
57.6 + 13.4 = 71
Determine if the ordered pair (6, 4) is a solution to the inequality
Answer:
[tex]\Large \boxed{\mathrm{Option \ D}}[/tex]
Step-by-step explanation:
(6, 4)
x = 6 and y = 4
y > -1/2x + 7
Plug in the values to check if it is true.
4 > -1/2(6) + 7
4 > -3 + 7
4 > 4
This statement is false.
(6, 4) lies on the line.
The fraction subtracted from 5/3 to get 1 is_____
Answer:
2/3
Step-by-step explanation:
I am not sure
Answer:
2/3Step-by-step explanation:
[tex]Let \:the \: unknown \: fraction \: be \: x\\\\\frac{5}{3} -x = 1\\\\\frac{5}{3}-x=1\\\\\mathrm{Subtract\:}\frac{5}{3}\mathrm{\:from\:both\:sides}\\\\\frac{5}{3}-x-\frac{5}{3}=1-\frac{5}{3}\\\\\frac{5}{3}-x-\frac{5}{3}=-x\\\\1-\frac{5}{3}=-\frac{2}{3}\\-x=-\frac{2}{3}\\\\x=\frac{2}{3}\\[/tex]
what is the square root of 450
Answer:
[tex]15\sqrt{2}[/tex] or 21.2132
Step-by-step explanation:
[tex]\sqrt{450}[/tex]
[tex]\sqrt{15^{2} }[/tex] (root of a product is equal to the product of the roots of each factor)
[tex]\sqrt{15^{2} } \sqrt{2}[/tex] (simplify)
[tex]15\sqrt{2}[/tex] or ≈ 21.2132
Answer:
[tex]15\sqrt{2}[/tex] or 21.213
Step-by-step explanation:
For radical form: think of multiples of 450. Think of a pair that contains one perfect square, particularly the higher, the better . These 2 numbers are 25 and 18. 25 is the perfect square number since the two numbers that multiply to be 25 is 5 and 5.
Now take the perfect square of 25 and put it outside of the radical. The 18 remains inside: [tex]5\sqrt{18}[/tex]
Now, since 18 is a high number that needs to get reduced, do the same for 18 as we did for 450--find two numbers, one of which is a perfect square. These two numbers are 9 and 2.
Now take the perfect square of 9. This is 3. Take it out of the radical so that only the two remains inside. The 3 will now multiply with the 5: [tex]5*3\sqrt{2}[/tex]
Multiply 5 and 3 to get 15. The 15 stays outside the radical. Your answer is:
[tex]15\sqrt{2}[/tex]
In the expression 3x^2+y+-5 which of the following choices is the exponent in the term 3x^2?
A. 3
B. 2
C. X
D. None of these choices
Answer:
2
Step-by-step explanation:
3x^2
The coefficient is 3
The variable is x
The exponent is 2
Donny has three times as many candy canes as Marc. Marc has thirty more candy canes than Bob. They have 500 candy canes altogether. How many candy canes does Donny have?
Answer:
318
Step-by-step explanation:
Bob=x
Marc=x+30
Donny=3(x+30)
x+x+30+3x+90=500
5x=500-120
5x=380
x=76
Bob has x = 76
Marc has x+30=106
Donny has 3*112=318
318+106+76=500
A radioactive substance decays exponentially. A scientist begins with 350 milligrams of a radioactive substance. After 14 hours, 175 mg of the substance remains. How many milligrams will remain after 20 hours
Answer:
N(t)=N∗.5t/h where n(t) is amount of substance left, N = initial amount, t = current time, and h = half-life time.h = 24 hours t= 45 hours, N = 130mg
therefore, N(t)=130∗.545/24=35.44mg
Step-by-step explanation:
N(t)=N∗.5t/h where n(t) is amount of substance left, N = initial amount, t = current time, and h = half-life time.h = 24 hours t= 45 hours, N = 130mg
therefore, N(t)=130∗.545/24=35.44mg
Answer:
≈ 130 mg
Step-by-step explanation:
This is about the half-life of the substance.
There is a formula for this kind of calculations:
N(t)= N₀*(0.5)^(t/T), where
N(t) = substance left after time period of t,t = time passed,N₀ = initial amount of the substance,T = hal-life time of the given substance.In our case, we have:
N₀ = 350 mg,t= 20 hours,T = 14 hours as half of substance decays during this time period,And the calculation:
N(20)= 350*(0.5)^(20/14)N(20) ≈ 130 mgAnswer: about 130 mg of substance remains after 20 hours
Whats the volume of a ball if diameter is 17
Answer:
818.8333333 *pi
or
Using the pi button on the calculator
2572.440785
Using 3.14 for pi
2571.13666666
Step-by-step explanation:
We need the radius
r = d/2
r = 17/2 = 8.5
We can find the volume using
V = 4/3 pi r^3
V = 4/3 pi ( 8.5)^3
V =818.8333333 *pi
Using the pi button on the calculator
2572.440785
Using 3.14 for pi
2571.13666666
CAN ANYBODY HELP ME OUT
Answer:
Correct option is
b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.
Step-by-step explanation:
Here, we are given the line RQ, which is divided in two equal parts by a line PS which is perpendicular to RQ.
The foot S of PS is on the line RQ.
First of all, let us do a construction here.
Join the point R with P and P with Q.
Please refer to the attached image.
Now, let us consider the triangles PQS and PRS:
Side QS = RS (as given)[tex]\angle PSR = \angle PSQ = 90^\circ[/tex]Side PS = PS (Common side in both the triangles)Now, Two sides and the angle included between the two triangles are equal.
So by SAS congruence we can say that [tex]\triangle PRS \cong \triangle PQS[/tex]
Therefore, the corresponding sides will also be equal.
RP = QP
RP is the distance between R and P.
QP is the distance between Q and P.
Hence, to prove that P is equidistant from R and Q, we have proved that:
b. If two sides and one included angle are equal in triangles PQS and PRS, then their corresponding sides are also equal.
PLEASE HELP!! what is the equation of a line that is perpendicular to y = 2x + 4 and passes through the point (4, 6)?
Answer:
The answer is B)
[tex]y = - \frac{1}{2}x + 8[/tex]
Answer:
B. y = -[tex]\frac{1}{2}[/tex]x + 8
Step-by-step explanation:
The line is perpendicular to line whose equation is:
y = 2x + 4 and;
passes through point (4,6) .
The product slopes of two perpendicular lines is -1.
The slope of the line whose equation is y = 2x + 4 is; 2
Let the slope of the perpendicular line (l2) be [tex]m_{l2}[/tex]
[tex]m_{l2} * 2 = -1[/tex]
[tex]m_{l2}[/tex] = [tex]-\frac{1}{2}[/tex]
Taking another point xy on line l2;
[tex]\frac{y - 6}{x - 4} = -\frac{1}{2}[/tex]
Cross multiplying this gives;
y = -[tex]\frac{1}{2}[/tex]x + 8 which is the equation of the perpendicular line!
Mr.Snyder gave his four children $35 to split equally for each car they cleaned out. The children cleaned put 3 cars. Mr.Snyder does not have any coins. He only had dollar bills. How much money should each child get?
Answer:
$26 for each child
Step-by-step explanation:
35 * 3 = 105 / 4 = 26.25
PLEASE HELP:
On a number line, suppose point E has a coordinate of 5, and EG=4. What are the possible coordinates of point G?
The possible coordinates for G are ___
(Type integers or decimals. Use a comma to separate answers as needed.)
Answer:
G = 1, 9.
Step-by-step explanation:
There are two cases to this problem: G is either to the left or right of E. If G is to the left of E, then G = 5 - 4 = 1 and if G is to the right of E, then G = 5 + 4 = 9. Therefore, our answer is G = 1, 9.
Hey there please help me with this question
Answer:
see explanation
Step-by-step explanation:
sum the parts of the ratio, 2 + 1 = 3 parts , thus
81 cm² ÷ 3 = 27 cm² ← value of 1 part of the ratio
2 parts = 2 × 27 = 54 cm²
Area of A = 54 cm² and area of B = 27 cm²
The side of the original square = [tex]\sqrt{81}[/tex] = 9 cm
The width of both rectangles is 9 cm ( width remains unchanged after cut )
Thus
Rectangle A
9 × length = 54 ( divide both sides by 9 )
length = 6 cm
Rectangle B
9 × length = 27 ( divide both sides by 9 )
length = 3 cm
Rectangle A → length = 6 cm, width = 9 cm
Rectangle B → length = 3 cm , width = 9 cm
Answer:
Rectangle A Rectangle B
length = 9 cm length = 9 cm
width = 6 cm width = 3 cm
Step-by-step explanation:
Area of square At = 81 cm²
Square is cut into two pieces = A + B
The ration of area A to B = 2:1
Find
Rect A Rect B
length length
width width
---------------------------------
first, get the side of the square = A = s²
81 = s²,
s = √81
s = 9 cm
since the ratio is 2:1, therefore the side can be divided into 3
9 ÷ 3 = 3 cm ----- take note of this to get the Width
Rectangle A
L = 9 cm (which is the s = 9 cm)
W = 3 cm (2 ratio) = 6 cm
Rectangle B
L = 9 cm (which is the s = 9 cm)
W = 3 cm (1 ratio) = 3 cm
Proof:
At = A + B
81 = (9x6) + (9x3)
81 = 54 + 27
81 = 81 ----- OK
3. If the coordinates of the two points 1 point
are P(-7,5) and Q (-6, 9), then
(abscissa of P) - (abscissa of Q) is.... *
a) –3
O b) 1
c) -2
O d) -1
Other:
the sum of n and the sum of 8 and 6"
Answer:
Its 14
Step-by-step explanation:
8+6=14
Answer:
The answer is 16
08
+ 06
----------
16
Hope it helps ;)
Please mark as brainliest
I am unable to find the answer to this pleas help me
Answer:
Step-by-step explanation:
[tex]\frac{1}{4}[/tex] of 600 is 150
hope this helps
plz mark as brainliest!!!!!!
Solve for b.
ab+c=d
b=a+c/d
b= a/(c-d)
b = (d - c)/a
Answer:
[tex]b = \frac{(d-c)}{a}[/tex]
Step-by-step explanation:
ab + c = d
Subtract c from both sides
ab + c - c = d -c
ab = d - c
Divide both sides by 'a'
[tex]\frac{ab}{a}=\frac{d-c}{a}\\\\b = \frac{(d-c)}{a}[/tex]
Answer:
b = (d - c)/a
Step-by-step explanation:
just took this test
A student earned grades of , , , , and . Those courses had the corresponding numbers of credit hours , , , , and . The grading system assigns quality points to letter grades as follows: A4; B3; C2; D1; F 0. Compute the grade point average (GPA) as a weighted mean and round the result with two decimal places. If the Dean's list requires a GPA of 3.00 or greater, did this student make the Dean's list
Answer:
grade point average (GPA) as a weighted mean = 3.14
Yes, student makes the Dean's list.
Step-by-step explanation:
Since the data is not given I will explain the question with a relevant example:
For example
Data:
Students grades are: A, C, B, A, D
The corresponding number of credit hours: 3, 3, 3, 4, 1
The grading system assigns quality points to letter grades as:
A = 4
B = 3
C = 2
D = 1
F = 0
To find:
grade point average (GPA) as a weighted mean
If the Dean's list requires a GPA of 3.00 or greater, did this student make the Dean's list?
Solution:
Weighted Mean = Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] / Σw[tex]_{i}[/tex]
Here
Using the earned grades of A, C, B, A, D and corresponding quality points to these letter grades we get:
A = 4
C = 2
B = 3
A = 4
D = 1
So the values in x[tex]_{i}[/tex] are:
x
4
2
3
4
1
Now the number of credit hours are represented as weights w[tex]_{i}[/tex] :
w
3
3
3
4
1
In order to calculate weighted mean first multiply x[tex]_{i}[/tex] with w[tex]_{i}[/tex]
x[tex]_{i}[/tex] w[tex]_{i}[/tex]
4 * 3 = 12
2 * 3 = 6
3 * 3 = 9
4 * 4 = 16
1 * 1 = 1
The sum of x[tex]_{i}[/tex] w[tex]_{i}[/tex] is :
Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] = 12 + 6 + 9 + 16 + 1 = 44
Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] = 44
Now compute the sum of w[tex]_{i}[/tex]
Σw[tex]_{i}[/tex] = 3 + 3 + 3 + 4 + 1 = 14
Σw[tex]_{i}[/tex] = 14
Putting the values in the weighted mean formula:
Weighted Mean = Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] / Σw[tex]_{i}[/tex]
= 44 / 14
= 3.1429
Weighted Mean = Σx[tex]_{i}[/tex] w[tex]_{i}[/tex] / Σw[tex]_{i}[/tex] = 3.14
Since the Dean's list requires a GPA of 3.00 or greater and the grade point average (GPA) as a weighted mean of the student is 3.14 so the student makes the Dean's list because his/her GPA is higher than 3.00
Please answer answer question now
Answer:
Area= 97.9 km²
Step-by-step explanation:
Angle at w = 180-119-34
Angle at w = 27°
Side XV= x
x/sin27= 26/sin119
x= sin27(26/sin119)
x= 0.454(26/0.8746)
x= 13.5 km
Side WX = y
y/sin 34= 26/sin119
y= sin34(26/sin119)
y= 0.559(26/0.8746)
y= 16.6 km
S= (16.6+13.5+26)/2
S= 56.1/2
S=28.05
Area = √(28.05(28.05-26)(28.05-13.5)(28.05-16.6))
Area=√(28.05(2.05)(14.55)(11.45))
Area=√(9579.772744)
Area=97.8763
Area= 97.9 km²
Write an expression that can be used to find the price of a television that is on sale for 20% off the regular price of p dollars. Can you write a second expression equivalent to the one you wrote in the last questions.
Answer:
The expression that could help calculate the price of the TV is;
$P - 20% of $P
Step-by-step explanation:
Here, we want to write an expression that corresponds to the price of a television set that is on sale at a price which is 20% off the regular price.
From the question, we can see that the regular price is $P
So now we are having 20% off;
This corresponds to;
20/100 * p = p/5 = 0.2p
So in the expression form, we can have;
$P - 20% of $P
if a man works 400km in 6 minutes.How long will he work in 9 minutes
Answer:
600 kmStep-by-step explanation:
400 km = x
6 min 9 min
cross multiply:
6x = 400 ( 9)
x = 3600 / 6
x = 600 km
A set of furniture was sold for GH cedis 3000 at a profit of 25%. Find the cost price.
Answer:
2400GH CedisStep-by-step explanation:
[tex]Selling \:price = 3000gh Cedis\\Profit \% = 25\%\\Cost\:price =?\\\\CP =\frac{ ( Selling\:price \times 100 )}{ ( 100 + percentage profit)} \\\\C.P = \frac{3000\times 100 }{100+25}\\\\ C.P = \frac{300000}{125} \\\\Cost\: Price = 2400gh Cedis[/tex]