:) The cost price of 11 pencils is equal to the selling price of 10 pencils. Find the gain
or loss per cent.
Answer:
You are losing 9 percent for every cent or 0.09cents per cent.
Step-by-step explanation:
Step-by-step explanation:
❅ [tex] \underline{ \underline{ \text{Given}}} : [/tex]
CP of 11 pencils = SP of 10 pencils❅ [tex] \underline{ \underline{ \text{To \: find}}}: [/tex]
Gain percent or loss percent✻ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \sf{CP\: of \: 1 \: pencil = x \: ( \: suppose}) [/tex]
[tex] \sf{CP \: of \: 11 \: pencils = 11x}[/tex]
[tex] \sf{SP \: of \: 10 \: pencils = 11x}[/tex] { Since CP of 15 articles is equal to SP of 12 )
[tex] \sf{SP \: of \: 1 \: pencil = \frac{11}{10} x}[/tex]
Here , SP > CP. So, He / she made a profit.
[tex] \boxed{ \sf{Profit = SP - CP}}[/tex]
⟿ [tex] \sf{ \frac{11}{10} x - x}[/tex]
⟿ [tex] \sf{ \frac{11x - 10x}{10}} [/tex]
⟿ [tex] \sf{ \frac{x}{10} }[/tex]
Now , Finding the profit percentage :
[tex] \boxed{ \sf{Profit\% \: = \frac{Profit}{CP} \times 100\%}}[/tex]
⟿ [tex] \sf{ \frac{ \frac{x}{10} }{x} } \times 100\%[/tex]
⟿[tex] \sf{ \frac{x}{10} \times \frac{1}{x} \times 100\%}[/tex]
⟿ [tex] \sf{ \frac{ \cancel{x}}{10} \times \frac{1}{ \cancel{x} } \times 100\%}[/tex]
⟿ [tex] \sf{ \frac{1}{10} \times 100\%}[/tex]
⟿ [tex] \boxed{ \sf{10\%}}[/tex]
[tex] \purple{ \boxed{ \boxed{ \tt{⇢Our \: final \: answer : 10\% \: \: profit}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ツ
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b. Mills works as a construction worker. He makes a salary of 54,200 a year. After
this year his boss decided to give him a 3.5% raise. What is his new salary?
Answer:
$56,097
Step-by-step explanation:
First, we have to figure out how much his raise was, so we can convert 3.5% directly to a decimal:
3.5% = 0.035
Then we find
3.5% of 54,200 = 0.035 x 54,200 = 1,897
1,897 + 54,200 = 56,097
So, Mills new salary is $56,097
hope this helps:)
if f(x) = 5x^3 - 2, then what is the remainder when f(x) is divided by x + 2
Answer: -12
Step-by-step explanation: use synthetic division
Answer: -42
Step-by-step explanation:
The perimeter of a rectangular window is 348 cm. If the length of the window is 95cm, what is its width?
x = 6y – 14
-X + 9y = 17
Answer:
(x, y)=(-8,1) this is substantial method
What is the slope intercept form of the line that
has a slope of 4 and passes through the point (3. -
10)?
Answer:
y=4x-22
Step-by-step explanation:
slope intercept form: y=mx+b
STEPS:
y-y1=m (x-x1) <---- The formula to solve ity--10=4(x-3) y+10=4x-12 -10 -10y=4x-22 <---- Final AnswerHope this helps!
Inverse of t = (120r)/(r+120)
9514 1404 393
Answer:
r = 120t/(120 -t)
Step-by-step explanation:
Given t = f(r), solve for r.
[tex]t(r+120)=120r \qquad\text{multiply by $r+120$}\\\\rt+120t=120r \qquad\text{eliminate parentheses}\\\\rt-120r=-120t \qquad\text{subtract $120t+120r$}\\\\r(t-120)=-120t \qquad\text{factor}\\\\r=\dfrac{-120t}{t-120} \qquad\text{divide by $t-120$}\\\\\boxed{r=\dfrac{120t}{120-t}} \qquad\text{negate numerator and denominator}[/tex]
Two trains are traveling at a constant rate. Which train has the greater speed?
Answer:
Train B
Step-by-step explanation:
The graph shows a proportional relationship between the cost of grapes, in dollars, and the number of pounds of grapes.
Answer:
where is the picture
Step-by-step explanation:
Answer:
where's the picture?
Step-by-step explanation:
what inequality does this graph represent?
How to make a simplified expression for 4(y + 3) - 5
Answer:
4y + 7
Step-by-step explanation:
Simplify. Use the distribution method, and follow PEMDAS.
PEMDAS is the order of operation. It stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
Distribute 4 to all terms within the parenthesis. In this case, you are multiplying 4 to all the terms:
4(y + 3) = (4 * y) + (4 * 3) = 4y + 12
Next, combine like terms (terms with the same amount of variables);
4y + 12 - 5
4y + (12 - 5)
4y + 7
4y + 7 is your simplified expression.
~
A circle above has a radius of 6 cm. What is the area of the circle?
Use = 3.14.
Answer:
113.04
Step-by-step explanation:
formula for area is
pi times radius times radius
if the radius is 6,
do 6 times 6=36
36 times 3.14=113.04
what is the slope? Pls help
Answer:
-1/7
Step-by-step explanation:
Use the diagram below to answer
the following question(s).
In the diagram below, MQ = 30, MN = 5, MN = NO, and OP = PQ.
MN
P
Find the length of PQ.
5
10
15
25
Answer:
Step-by-step explanation:
The total distance is 30.
According to MQ = 30 .
And the first distance is
MN which is 5
MN = 5
and NO is equal to MN
MN = NO
giving us MN + NO = 10 or 5 + 5 =10
so if we need 30 and have 2 points that equal to 10
we need 20 more to equal 30
leaving OP = PQ or 10 = 10
10+10+5+5= 30
MN + NO + OP + PQ = MQ
THE ANSWER IS 10
2
Select the correct answer from each drop-down menu.
Simplify the given polynomial and use it to complete the statement.
(-512 – 2x + 4) + (872 – 1 – 1) - (x + 2) (1 – 5)
The polynomial simplifies to an expression that is a
with a degree of
Reset
Next
Pretty sure the problem above is wrong so refer to the picture of your trying to solve thx!!
Answer:
[tex]2x^2+13[/tex]
Step-by-step explanation:
Given
[tex](-5x^2-2x+4)+(8x^2-x-1)-(x+2)(x-5)[/tex]
Required
Simplify
Expand brackets
[tex](-5x^2-2x+4)+(8x^2-x-1)-(x^2-5x+2x-10)[/tex]
[tex](-5x^2-2x+4)+(8x^2-x-1)-(x^2-3x-10)[/tex]
Open all brackets
[tex]-5x^2-2x+4+8x^2-x-1-x^2+3x+10[/tex]
Collect Like Terms
[tex]-5x^2+8x^2-x^2-2x-x+3x+4-1+10[/tex]
[tex]2x^2+13[/tex]
Hence, the polynomial simplifies to [tex]2x^2+13[/tex] and it has a degree of 2
Plz Answer 25 points
The table shows the height of water in a pool as it is being filled.
The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool?
1. The height of the water increases 2 inches per minute.
2. The height of the water decreases 2 inches per minute.
3. The height of the water was 2 inches before any water was added.
4. The height of the water will be 2 inches when the pool is filled.
Just say the number
Answer:
The answer is 1.
Step-by-step explanation:
None.
If it is 11:45 a.m., what will the time be 3 hours and 15 minutes later?
4:15 p.m.
3:00 p.m.
3:15 a.m.
2:45 p.m.
Answer:
3:00 p.m.
Step-by-step explanation:
because 11:45 + 15 is 12:00 + 3 is 15:00 so it is 3:00 p.m.
What is the key slope word in the problem?
A car rental company charges a $50 deposit and $25 per day.
Answer:
The equation will be y=25x+50
Step-by-step explanation:
This is because 50 is only being charged once and is the constant.
They are charging $25 per day thus that is the slope.
the property name for 20+0=20
Answer: Identity Property of Addition
Step-by-step explanation: The identity property holds true for addition.
The statement 20 + 0 = 20 represents the identity property of addition.
The identity property of addition says we add 0
to any number, the sum is equal to the original number.
In general terms, we can write the identity property of addition
as a + 0 = a where a is a variable that represents any number.
Which equation represents a line that passes through the point ( 6 , − 3 ) and is parallel to the graph of y = 3 x + 1 ?
Answer:
y + 3= 3(x - 6) ← point-slope form
y = 3x - 21 ← slope-intercept form
3x - y = 21 ← standard form
Step-by-step explanation:
The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = 3x + 1 ⇒ m₁ = 3 ⇒ m₂ = 3
(6, -3) ⇒ x₁ = 6, y₁ = -3
point-slope form:
y - (-3) = 3(x - 6)
y + 3 = 3(x - 6)
y + 3 = 3x - 18 {subtact 3 from both sides}
y = 3x - 21 ← slope-intercept form
-3x + y = -21 {multiply both sides by (-1)}
3x - y = 21 ← standard form
Do values of these triangles form right triangles or not using Pythagorean theorem
Answer:
Yes
Yes
No
Step-by-step explanation:
9-12-15 is just a dilation of a 3-4-5, which is right.
6-8-10 is also a dilation of 3-4-5.
However, 2-4-6 is not a triangle. In fact, it's just a line segment, because 2+4=6
Evaluate the given expression for x= 13.
2x + 3
The answer is
Answer:
no
Step-by-step explanation:
no
Identify the coefficient and the number of terms in the
following expression.
152 +8
A.) Coefficient: , number of terms: 1
B.) Coefficient: 2, number of terms: 2
C.) Coefficient: 8, number of terms: 1
D.) Coefficient: 15, number of terms: 2
Answer:
The answer is A because there are no coefficients which is a letter and 1 term.
How many groups of 1/2 are in 3 1/2
Answer:
7
Step-by-step explanation:
each 1 has 2 in it
so 3x2=6
add the extra half
6+1=7
worth 20 points !! need help asap !
Which of the points are solutions to the inequality?
Check all that apply.
0 (-3, 3)
0 (-2,-2)
0 (-1, 1)
0 (0, 1)
O (2,5)
Answer:
all boxes except first should be checked
Step-by-step explanation:
the shaded area contains all solutions
see if each ordered pair resides in the solution area
Students in elementary school attends school five days each week after three weeks of attendance each student has attended school for a total of 6300 minutes for how many hours each day does each student attend the school
Answer:
Step-by-step explanation:
first lets meake the minutes into hours by dividing our minutes into hours
6300 / 60 = 105
so in total they go 105 hours in 15 days (5 days for 3 weeks is 15 days)
to find how many hours in each day lets divide our hours into the 5 days
105 / 15 = 7 hours a day
hope this helps <3
According to Foolproof, by not negotiating the price of your first car purchase, you have a $1,000 "bad" money burn. How long would it take you to earn back the thousand dollars you just threw away if you take home $10.00 per hour? State in terms of how many hours it would take to earn back that money, and explain how you calculated this answer.
Answer:
Time required to save 1000$ is 100 hours
Step-by-step explanation:
Money wasted = 1000$
savings = 10.00$ per hour
using unitary method
if i am saving 10.00 $ per hour then let in t hours i save 1000$
⇒ 10.00 x t = 1000
dividing above equation by 10 we get,
⇒ t = 100 hours
Therefore, Time required to save 1000$ is 100 hours
PLEASE HELP ME =(((((((((((((((((((((((
Answer:
The answer is
[tex]y = - 5x - 2[/tex]
Step-by-step explanation:
❃Incase you forgot what the linear equation formula is ☟
[tex]y = mx + b[/tex]
❃Incase you also forgot, The is what the slope formula is ☟
[tex]m = \frac{y_2 - y_1 }{x_2 - x_1}[/tex]
➊ First: We are going to be solving for the slope.
[tex]m = \frac{ - 2 - 3}{0 - ( - 1)} = \frac{ - 5}{ \: \: \: 1} = - 5[/tex]
➋Second: We find the y-intercept.
[tex]y = mx + b \\ 3 = - 5( - 1) + b \\ 3 = 5 + b \\ \frac{ - 5 = - 5 \ \ \: \: \: \: \: \: }{ - 2 = b}[/tex]
➌Third: Plug in.
[tex]y = - 5x - 2[/tex]
Which is the equation of a line that has a slope of Negative two-thirds and passes through point (–3, –1)?
Answer:
Y=2/3x+1
Step-by-step explanation:
help me..
find the value of x if √x-5=0( x-5 both r under the root)
Answer:
X = 5 plz brainly me
Step-by-step explanation:
Step-by-step explanation:
[tex] \sqrt{x - 5} = 0 \\ \\ x - 5 = 0 \\ x = 5[/tex]