Answer:
50%.
Step-by-step explanation:
Gain as a fraction is (27-18) /18
= 9/18
= 1/2.
Percent gain = 1/2 * 100 = 50%.
1. A merchant sets the selling price of an article 40% above what it cost him. Then, seeing it did not sell, he decided to reduce the figure by 15%. The final selling price was $8.65. What did the article originally cost?
==========================================
Work Shown:
x = original cost (in dollars)
1.40x = increasing the cost by 40%
0.85*1.40x = decreasing the previous cost (1.40x) by 15%
Notice how a decrease of 15% means you pay the remaining 85% of the price, which is where the 0.85 comes from.
The expression 0.85*1.40x simplifies to 1.19x after multiplying the 0.85 and 1.40
-------------------------
The expression 1.19x is the final cost after the increase of 40% and the decrease of 15%
Set this equal to 8.65 and solve for x
1.19x = 8.65
x = 8.65/1.19
x = 7.2689075630252 which is approximate
x = 7.27 dollars
-------------------------
Let's check the answer
x = 7.27
1.40x = 1.40*7.27 = 10.178 = 10.18
After an increase of 40%, the cost is now $10.18
Now decrease it by 15%
discount = 15% of 10.18 = 0.15*10.18 = 1.527 = 1.53
The customer saves $1.53 and the final price is 10.18-1.53 = 8.65
So everything works out as we expect. The answer is confirmed.
What are the solutions of the equation −2x−6=−2^x−6 ?
Select each correct answer.
x=−1
x = 0
x = 1
x = 2
x = 3
9514 1404 393
Answer:
x = 1, x = 2
Step-by-step explanation:
A graphing calculator shows the graphs cross at x=1 and x=2.
__
There is no algebraic method of solving an equation like this. Trial and error is another method that works.
c с
5 km
12 km
What is the length of the hypotenuse?
kilometers
Answer:
13km
Step-by-step explanation:
Answer:
c=13km
Step-by-step explanation:
13 (by pythagorean triples)
or you could use the pythagorean theorem to find c:
5^2+12^2=c^2
25+144=c^2
c^2=169
c=13
Which type of bond is generally considered "risk-free" since the issuer of the bond has the ability to print money to meet their obligations? Corporate Bond Municipal Bond U.S. Treasury Bond Bail Bond
Answer:
U.S. Treasury Bond
Step-by-step explanation:
A bond is a debt instrument.
the US government cannot default on a bond. thus government bonds are considered riskless. this is because the government can print money with the central bank to pay debt obligations
other debt issuers cannot print money to pay debt obligations. thus, they are not riskless
Help ASAP will give the Brainliest answer
The degree of the expression 4x^5y^m z is 10. What is the value of m?
A2
B 4
C5
D 10
5. There is a circular field of area of approximately
500 m2. How can you find its area accurately by
using a measuring tape?
Step-by-step explanation:
It is known that area of a circular is calculated as follows.
[tex]Area = \pi \times r^{2}[/tex]
So, when a circular field of area of approximately 500 [tex]m^{2}[/tex] is there then diameter of the field is calculated using the measuring tape from one side of the circular tape to the other. Now, to calculate the radius it is required to divide the diameter by 2.
Hence, put these values into the above formula to find out the area. In this way we can find out the area of given circular field accurately by using a measuring tape.
Which inequality is equivalent to the given inequality?
-4(x+7) < 3(x - 2)
Please helppppppp I don’t get this
Answer:
B. Megan is correct. When two lines have different slopes, they must intersect, producing one solution.
Step-by-step explanation:
A system of two lines has:
No solutions: When both lines have the same slope but a different x and y-intercept.
One solution: When both lines have different slopes.
Infinitely many solutions: When both lines have the same slope and same x and y-intercept.
Since it is given that the lines have different slopes, the equation has only one solution.
We do not need to check the y-intercept.
Megan is correct.
♛ Mark me as Brainliest if I’m right
how did you find x? pls answer
Answer:
x = 8 degree
Step-by-step explanation:
8x - 4 = 60 degree (being alternate interior angle)
8x = 60 + 4
8x = 64
x = 64/8
x = 8 degree
Answer:
[tex] both \: are \: alternate \: interior \: angle \\ \\ = > both \: are \: equal \: \: \: \: \: \: \: \: \: \: \: \\ \\ = > (8x - 4) = 60 \: \: \: \: \: \: \\ \\ = > 8x \: = \: 60 + 4 \\ \\ = > 8x = 64 \\ \\ = > x = 64 \div 8 \\ \\ = > x = 8 \: \\ \\ hope \: it \: is \: helpful \: to \: you[/tex]
I need help I don’t get it and it’s hard can someone help me
Answer:
choice 4
Step-by-step explanation:
It's not that hard if you understand once you get past the fancy words
degree= largest exponent
so if something has a degree of 3 we know that the highest exponent is 3
Coeficcent= thing multipllying x
in this case it's 4 which means the number we are looking for is 4x³
Onlyanswer choice 4 meets these criteria
Answer:
The answer is (4) [tex]2x+x^{2} +4x^{3}[/tex].
Step-by-step explanation:
A leading coefficient is the coefficient of the term of highest degree in a given polynomial.
A degree of a polynomial is the largest exponent on one of its variables (for a single variable), or the largest sum of exponents on variables in a single term (for multiple variables).
The answer can be found when the polynomial is rearranged into standard form, and the standard form of the polynomial will look like [tex]4x^{3}+x^{2} +2x[/tex]. A polynomial is in standard form when the term with the highest degree is placed first, followed by the term which has the next highest degree, and so on.
Once the polynomial is in standard form, the leading coefficient is 4 and has a degree of 3. Thus, causing (4) [tex]2x+x^{2} +4x^{3}[/tex] to be the answer.
Use complete sentences to explain how the coordinate plane is a useful tool for geometric proofs.
Answer:
Step-by-step explanation:
The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument. ... The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas .
Answer:
The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the Cartesian Plane to make an argument . Coordinate geometry proofs employ the use of formulas such as Slope Formulas, the Midpoint Formula and the Distance Formula, as well as postulates, theorems and definition s. The method usually involves assigning variables to the coordinates of one or more points, and then using these variables in the midpoint or distance formulas . The facilitate verification is a proof of a geometric hypothesis which utilizes " summed up" indicates on the Cartesian Plane make a contention. The strategy for the most part includes doling out factors to the directions of at least one focuses, and afterward utilizing these factors in the midpoint or separation equations. For instance, the accompanying is an arrange evidence of the Triangle Midsegment Theorem, which expresses that the fragment interfacing the midpoints of two sides of a triangle is parallel to the third side and precisely a large portion of the length.
Please help needed!!! Help me!!!
a = 85°
Step-by-step explanation:
Method 1
5x = 2x + 57° (An exterior angle of a triangle is equal to the sum of its two interior opposite angles)
3x = 57°
x = 57/3 = 19°
a = 180 - 57 - 2x
a = 180 - 57 -2(19)
a = 85°
Method 2
2x + a + 57° = 180°
2x + a = 123° ==> 1
5x + a = 180°
x = (180° - a)/5 ==> 2
By substitution
2((180° - a)/5) + a = 123°
(360° - 2a)/5 + a = 123°
(360° - 2a)/5 = 123° - a
360° - 2a = 5(123° - a)
360° - 2a = 615° - 5a
-2a + 5a = 615° - 360°
3a = 255°
a = 85°
Solve the right triangle. Round decimal answers to the nearest tenth.
Answer:
c=√a²+b²
Step-by-step explanation:
You can use this equation to solve it.
Simplify
5^3/5^7
Leaving your answer in index form
Answer:
5^-4
Step-by-step explanation:
5^3/5^7=5^(3-7)=5^-4
find the value of x.
Answer:
x = 83 degree
Step-by-step explanation:
x + 43 = 126 (sum of two interior opposite angle is equal to the exterior angle formed)
x = 126 - 43
x = 83 degree
Answer:
83 degrees
Step-by-step explanation:
To find this you first find the angle opposite to 126. To do this you subtract 126 from 180 as 180 degrees is a straight line, and we are looking for that missing angle.
This equals 54 degrees.
Now, 54 + 43 equals 97.
Because all interior angles of a triangle always equal 180, you can find that last angle by subtracting 97 from 180. This leaves you with 83 degrees.
A tourist bought a Nepali cap with 20% discount and 13% value added tax when returning to his country the VAT amount Rs. 83.20 returned back to home at the airport. What was the marked price of the cap? Find it
Answer:
Marked price = Rs 800
Step-by-step explanation:
Let the marked price of the cap be Rs.“x”.
Discount = 20%
VAT = 13%
VAT amount = Rs. 83.20
We know,
Discount = Marked price – Selling Price
⇒ Selling price = Marked price – discount
The price after giving a discount or Selling price:
[tex]= x - 20 \% \ of \ x \\\\= x - \frac{20}{100} \times x\\\\=\frac{100x - 20x }{100}\\\\=\frac{80x}{100}\\\\=\frac{8x }{10}\\\\=\frac{4x}{5}[/tex]
VAT amount = VAT% of Selling Price
[tex]83.20 = 13 \% \ of \ \frac{4x}{5}\\\\83.20 = \frac{13}{100} \times \frac{4x}{5}\\\\13 \times 4x = 83.20 \times 100 \times 5\\\\4x = \frac{8320 \times 5}{13}\\\\4x = 3200\\\\x = 800[/tex]
Thus, the marked price of the cap is Rs. 800.
A fruit seller buys lemons at 2 for a dollar and sells them at 5 for three dollars. What is his gain percent?
a)10%
b)15%
c)20%
d)25%
You move down 2 units and up 8 units. You end at (0, 4). Where did you start?
Given:
You move down 2 units and up 8 units.
You end at (0, 4).
To find:
The starting point.
Solution:
Let the starting point be [tex](x,y)[/tex].
You move down 2 units and up 8 units. So, the rule of translation is:
[tex](x,y-2+8)=(x,y+6)[/tex]
You end at (0, 4).
[tex](x,y+6)=(0,4)[/tex]
On comparing both sides, we get
[tex]x=0[/tex]
[tex]y+6=0[/tex]
[tex]y=4-6[/tex]
[tex]y=-2[/tex]
Therefore, the starting point is (0,-2).
The area of a wall that needs to be papered is 84sqft. The wallpaper that needs to be papered is 18in wide and 33ft long. Rolls of solid color wallpaper will be used, so patterns do not have to match up.
Answer:
The answer is below
Step-by-step explanation:
The area of the wall is 84 ft².
The width of the wallpaper is 18 in.
1 ft. = 12 in
Hence; 18 in = 18 in * 1 ft. per 12 in = 1.5 ft
The length of the wallpaper is 33 ft.
Therefore, the area of the wallpaper = length * width = 1.5 ft. * 33 ft. = 49.5 ft². This means that each roll of wallpaper has an area of 49.5 ft²
Therefore, the minimum amount of rolls of wallpaper needed = area of wall / area of wallpaper
Amount of wallpaper = 84 ft² / 49.5 ft² = 1.7 rolls
Apply the distributive property to factor out the greatest common factor.
6+30=6+30=6, plus, 30, equals
Answer:
so 6+30=36
we can use the distributive property
36-6=30
36-30=6
Hope This Helps!!!
4: 2 cups of sugar is used to make enough lemonade for 6 people. How much sugar is needed to make enough lemonade for 18 people?
Question #6: 12 cans of soup cost $20. What is the cost for 30 cans? *
Question #7: It takes 30 minutes for an author to type 4,500 words. How many words can she type in 3 hours?
Question #8: A concession stand made $45 from the sale of 15 cheeseburgers. If 100 cheeseburgers are sold, how much do they make? *
Answer:
4. 6 cups
6. 50 dollars
7. 27000 words
8. 300 dollars
Step-by-step explanation:
4.
2 cups x cups
-------------- = -----------
6 people 18 people
Using cross products
2 * 18 = 6x
Divide by 6
36/6 =6x/6
6 =x
6.
12 cans 30 cans
-------------- = -----------
20 dollars x dollars
Using cross products
12x = 20*30
12x = 600
Divide by 12
12x/12 =600/12
x = 50
7.
3 hours = 3*60 minutes/hour = 180 minutes
30 minutes 180 minutes
-------------- = -----------
4500 words x words
Using cross products
30x = 4500*180
Divide by 30
x = 4500*180/30
x=27000
8.
45 dollars x dollars
-------------- = -----------
15 burgers 100 burgers
Using cross products
45*100 = 15x
Divide by 15
45*100/15 = x
300 =x
Lauren uses a calculator to find Three-fourths divided by StartFraction 3 plus 9 over 36 EndFraction and gets a result of Nine-fourths. Which statement best describes her work?
Answer:
11/20
Step-by-step explanation:
Two Points P and Q, 25 meters apart, are on the same Straight line, the same side and the same ground Level as the foot of the tower. If the angle depression of P and Q from the top of the tower are 33 and 40° respectively, find to the nearest metre, the; 1.distance from Q to the foot of tower. 2.height of the tower.
Answer:
b
Step-by-step explanation:
what are some fears when caring for your younger children?
can someone answer rq please
Answer:
That they can mess up the whole house
Step-by-step explanation:
That's all I got, sorry if it's not very helpful.
im doing my map testing rn sheesh help
Answer:
probably D po
Step-by-step explanation:
sana maka help po
Parallelogram ABCD is adjacent to rhombus DEFG, as shown below, and FC intersects AD at H.
B
D
H
E
If m Z B=118 and m2 AHC=138, determine and state m GFH.
Answer:16,284
Step-by-step explanation:
On a coordinate plane, a curved line with a minimum value of (0, 1) and a maximum value of (negative 1.3, 2.2), crosses the x-axis at (negative 2.2, 0) and crosses the y-axis at (0, 1).
Which statement correctly identifies a local minimum of the graphed function?
Over the interval [–3, –2], the local minimum is 0.
Over the interval [–2, –1], the local minimum is 2.2.
Over the interval [–1, 0.5], the local minimum is 1.
Over the interval [0.5, 2], the local minimum is 4.
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
cuz i did the test
HELPPPPPPPPPP!!!! IF ITS RIGHT I WILL MARK
Solve 3t + 2 = 5t - 4
Options:
t = 3
t = -1
t = 2
Answer:
t=3
Step-by-step explanation:
Heres why i think t=3
Replace the T in 3t+2
3x3+2
9+2=11
11=5t-4
Now Replace the t again by 3
5x3-4
15-4
11
11=11
T=3
Answer:
t = 3
Step-by-step explanation:
3t + 2 = 5t - 4
2 + 4 = 5t - 3t
6 = 2t
6/2 = 2/2t
t = 3
if this helps you, please mark brainliest!
Find an equation for the line with slope m = -6/7 and which goes through the point (14, 4).
Answer:
A line with a slope of – that passes through the point (–14, 4)
Step-by-step explanation:
The equation of a line is typically written as y= mx+b where m is the slope and b is the y- intercept.
What is a dept of 24 dollars?