Answer: x = 4
Step-by-step explanation:
First, we must divide the two, its in a fraction, and as you should know, when we divide exponents, you subtract the exponent on the numerator by the exponent on the denominator. So in this case we are doing 7 - 3 which is equal to 5.
[tex]7^5 = 7^x[/tex]
[tex]7^5 = 7^5[/tex]
Then we still need to subtract [tex]7^1[/tex] from [tex]7^5[/tex].
So our answer is [tex]7^4[/tex]
Answer: x = 4
:) 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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A rectangular field is 10m longer than wide. The area of the field is 2000m². Find the perimeter of the field.
Answer:
180m
Step-by-step explanation:
Let L = length of field,
W = width of field,
A = field area = 2000 m^2
Lenght = Width + 10m
Let Lenght= x
Width=y
A = X ×Y = (Y + 10)Y= 2000
Y^2 + 10Y- 2000 = 0
Solving using Quadratic eqn with plot
Y= 40 or -50 but we go for the positive root
Width=40m
Length= 40m +10m
= 50m
Perimeter= 2(l+w)
=2(50+40)
180m
Hence, the perimeter is 180 m
CHECK THE ATTACHMENT FOR THE QUADRATIC PLOT
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.
Solve for Z, Round to the nearest hundredth. (Please help!!❤️)
Answer:
Step-by-step explanation:
42.34
PLease help me plz i really need this
Answer:24:16
60:40
28:56
108:36
Step-by-step explanation:3:2
12:8
24:16
60:40
28:56
108:36
The bold numbers is the answer to all the missing blank:)
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
GUYS PLEASE HELP HELPING ME GIVES U 50 POINTS PLEASE HELP ME
Y = 1/1 x + 1
Answer:
m = 1
b = 1
Step-by-step explanation:
y = mx + b:
y = 1/1x + 1
y = 1x + 1
m = 1
b = 1
The equation A=p+prt is ued to find the accumulated amount, A, of an investment with principle, P, a certain interest rate, r, and over time, t. What is the value for r, after the equation is rearranged?
A. r= A+p/ pt
B. r= A-p/ pt
C. r= A-1/ t
D. r= A-p-pt
Answer:
B. r = A-p/pt
Step-by-step explanation:
We can rearrange the equation to make [tex]r[/tex] the subject of the equation:
[tex]A=p+prt[/tex]
[tex]A-p = p+prt-p[/tex]
[tex]A-p = prt[/tex]
[tex]\frac{A-p}{pt} = \frac{prt}{pt}[/tex]
[tex]r = \frac{A-p}{pt}[/tex]
∴ Option B is correct
Hope this helps :)
What is the average speed of a commercial
jet that travels from New York to Los I
Angeles (4800 km) in 6.00 hours?
Answer:
800 km per hour.
Step-by-step explanation:
4800km/6h = 800kmph
solve plzzzzzzzzzzzzzzzzzz
Answer:
x = 20 degrees
Step-by-step explanation:
From the diagram shown, we are to find the value of
Since the adjacent side of the parallelogram on top are equal, hence their opposite angles are also equal
The third angle in the triangle below will be 180 - 60 = 120
Sum of angle in the triangle is 180 degrees, hence;
x + 2x + 120 = 180
3x = 180-120
3x = 60
x = 60/3
x = 20 degrees
Hence the value of x in the diagram is 20 degrees
pls help I need help!
Find the length of side A.
Answer:
c = 5
Step-by-step explanation:
13² - 12² = c²
169 - 144 = c²
√25 = c
5 = c
plz follow me
Gabriel can't decide whether to get a 16 oz can of creamy corn that sells for $1.09, or the 32 oz that's on sale for 1.89 which is a better but 16 oz or 32 oz ?
2.8151 rounded to the nearest thousandth
Answer:
2.815
Step-by-step explanation:
2.8151 rounds DOWN due to the 1 being under 5.
if the last digit is 5 or above, it rounds UP.
what inequality does this graph represent?
can someone please help me solve these problems above (6-9)
i’ll give brainliest
Answer:
6. VT=TX
7. UT=UX=YX
8. VY=UT
Step-by-step explanation:
write an equation for the n th term of the arithmetic sequence then find a10 -6,-9,-12,-15
Answer: [tex]a_{10}[/tex] = -33
Step-by-step explanation:
-6, -9, -12, -15
The common difference is -3
d = common difference
Arithmetic sequence formula:
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1) d
[tex]a_{10}[/tex] = -6 + (10 - 1) -3
[tex]a_{10}[/tex] = -6 + 9 × -3
[tex]a_{10}[/tex] = -6 - 27
[tex]a_{10}[/tex] = -33
Answer:
its -30
Step-by-step explanation:
because -15-15=-30
The unit rate for 65 miles in 2.7 gallons is___ miles per gallon. (Round your answer to the nearest hundredths)
Answer:
The unit rate for 65 miles in 2.7 gallons is 24.07 miles per gallon.
Step-by-step explanation:
Given that:
65 miles in 2.7 gallons
We have to find the unit rate.
Unit rate is a rate to compare quantities in which one quantity is 1.
Unit rate = [tex]\frac{65}{2.7}[/tex]
Unit rate = 24.07 miles per gallon.
Hence,
The unit rate for 65 miles in 2.7 gallons is 24.07 miles per gallon.
y = –3x + 6
y = 9
What is the solution to the system of equations?
(–21, 9)
(9, –21)
(–1, 9)
(9, –1)
Answer:
(-1, 9)
Step-by-step explanation:
given
[tex]y = - 3x + 6 \\ and \\ y = 9 \\ then \: we \: need \: to :\ find \: x \: so \: that \: when \: plugged \\ to \: - 3x + 6 \: the \: result \: is \: 9 \\ by \: transitive \: rule \\ y = 9 = - 3x + 6 \\ 9 = - 3x + 6 \: (substract \: both \: sides \: with \: 6) \\ 3 = - 3x \: (divides \: both \: sides \: with \: - 3) \\ - 1 = x[/tex]
Answer:
the answer is c
Step-by-step explanation:
because i just took the test
Simplify this expression. Show your work. (7x - 5) - (3x - 2)
Answer:
4x-3
Step-by-step explanation:
(7x-5) - (3x-2)
aka
(7x-5) -1 (3x-2)
first distribute the -1 into (3x-2)
-3x+2
so
(7x-5)+ -3x+2
next combine like terms
7x-3x=4x
so
4x-5+2
then
-5+2=-3
so
4x-3 would be your simplified equation
why do you have to make people pay if they had question about math
Answer:
because it's a way to work people out of money and then they get the pay check you just get the problem
Step-by-step explanation:
Please help answer the following question
Answer:
D
Step-by-step explanation:
The unmarked angle of the triangle is also 40o. The triangle is marked with two equal sides (isosceles).
<2 + 40 + 40 = 180 Combine the left
<2 + 80 = 180 Subtract 80 from both sides
<2 = 180 - 80
<2 = 100 degrees.
That's not the answer. We have to solve for x
<2 = x + 106
100 = x + 106 Subtract 106 from both sides
100 - 106 = x
x = - 6
Can someone help pleaseee!!!
Step-by-step explanation:
6) D= [-1,4]
R= [-2,3]
7) D= [-3,4]
R= [-5,7]
8) i do not know how to read this...
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
chaire boarded an airplane in richmond, ya, and flew 414 miles directly to Charleston, sc.The total flight time was 3/4 hour. How fast did Claire's airplane fly, in miles per hour
9514 1404 393
Answer:
552 mph
Step-by-step explanation:
Miles per hour is found by dividing miles by hours:
(414 mi)/(0.75 h) = 552 mi/h
Claire's plane averaged 552 miles per hour.
.... .find x .....
Answer: 120 degrees
Step-by-step explanation: a circle always has a total of 360 degrees
What is the perimeter of ABCD?
perimeter =
Answer:
38
Step-by-step explanation:
All you have to do to find the perimeter of a 2D shape is to add the sides and put the unit of measurement at the end of your answer.
Perimeter of ABCD is 38 units.
Perimeter of a quadrilateralPerimeter of a quadrilateral is given by the sum of the measures of all four sides.
From the picture attached,
Perimeter of the given parallelogram = AB + BC + CD + DA
= 9 + 10 + 9 + 10
= 38 units
Therefore, perimeter of the given parallelogram will be 38 units.
Learn more about the perimeter of a quadrilateral here,
https://brainly.com/question/341702?referrer=searchResults
Select the correct answer.
ОА
Which equation represents the line that is perpendicular to y = $5 + 23 and passes through (-40,2012
- 15
y = - = - 30
= 5 + 52
= - 56
ОВ.
Ос. y =
OD.
Answer:
The question is written kinda bad, so i take the next two assumptions:
The original line is:
y = 5*x + 23
And we want to find a perpendicular line that passes through the point (-40, 2012)
Suppose that we have a linear equation:
y = a*x + b
A perpendicular line to this one, will have a slope equal to -(1/a)
Then a random perpendicular line to the one above, is:
y = -(1/a)*x + c
In this case, we start with the line:
y = 5*x + 23
Then the family of perpendicular lines to this one, will be like:
y = (-1/5)*x + c
Where c can be any real number.
Now, we also want this line to pass through (-40, 2012)
This means that when x = -40, the value of y must be 2012
We could replace these values in our equation above and solve it for c.
2012 = -(1/5)*(-40) + c
2012 = 40/5 + c
2012 = 8 + c
2012 - 8 = c = 2004
Then the equation is:
y = -(1/5)*x + 2004.
Please help me!!!!!!!!!!
Answer:
it think it is D
Step-by-step explanation:
just take one of the number and move it for example 4x right and 2y up and then look at where the connection is.
Write -2x + y = 7 into y = mx + b
Please help me ASAP!! Worth 30 points
Answer:
Step-by-step explanation:
p≤15/2