Answer:
Step-by-step explanation:
Let your number be X. To increase X by 40% we can multiply it by 1.4, let's call this new number Y.
So Y = X * 1.4
Now to decrease Y by 40% we can multiply it by 1 - .4 = .6. Lets call this new number C.
So C = Y *.6 = (X * 1.4) * .6 = X * (1.4 * .6) = X * .84.
Therefore, C = .84 * X.
So we can see C is 84% of X, or 16% less than X.
Thus, if you increase a number by 40% then decrease it by 40%, the net percentage is -16% .
Final result in terms of 'x' will be → 0.75x
Conversion of verbal statement to algebraic expression: Select the variables given in the verbal statement first. Form the algebraic expression as per verbal statement given in the question.
Let the number = x
As per first statement → "A number 'x' is decreased by 40%"
Algebraic expression for the statement → (x - 40% of x)
→ (x - 0.4x)
→ 0.6x
Second statement → "Then increased by 25%"
Algebraic expression for the statement → (0.6x + 25% of 0.6x)
→ [tex](0.6x+\frac{25}{100}\times 0.6x)[/tex]
→ [tex](0.6x+0.15x)[/tex]
→ [tex]0.75x[/tex]
Therefore, final result in terms of x will be (0.75x).
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A scale drawing of a rectangular garden has sides that measure 12 inches by 18 inches. The scale of the drawing is 1 inch =
is the area of the actual garden
Answer:
area is 216
Step-by-step explanation:
Write an expression that represents the height of a tree that begins at 2 feet and increases by 3
feet per year. Please help
Answer:
2+3x
Step-by-step explanation:
2 is starting height. 3 is multiplier of how much it increases per year. x is the number of years
Angle B = 90 in triangle ABC. BM is altitude to AC. AB = 10 and AM = 2.5. Find MC
Answer:
MC =37.5
Step-by-step explanation:
In [tex] \triangle ABC,\: \angle B = 90\degree [/tex] and [tex] BM \perp AC.[/tex]
[tex] \therefore \angle AMB = 90\degree [/tex]
By Pythagoras Theorem:
[tex]AM^2 + BM^2 = AB^2 \\
BM^2 = AB^2 - AM^2 \\ BM^2 = {10}^{2} - {2.5}^{2} \\ BM^2 = 100 -6.25 \\ \red{BM^2 = 93.75} \\ now \: by \: geometric \: mean \: theorem : \\ BM^2 =AM \times MC \\ 93.75 = 2.5\times MC \\MC = \frac{93.75}{2.5} \\ \huge \orange{ \boxed{ MC =37.5}} \\ [/tex]
Which one is it? Help
The answer would be letter B.
a seven sided number cube with sides numbered 1,2,3,4,5,6,7 is rolled. what is the probability that a 4 or odd number is rolled ? which fraction ? 5/7 2/7 3/7 4/49
The probablity of rolling a 4 = 1/7
There are 4 odd numbers, so the probablity of rolling an odd number = 4/7
4/7 + 1/7 = 5/7
NEED HELP WITH THIS!
Answer: See below
Step-by-step explanation:
a.
To solve for h, we want to use algebraic properties to isolate h.
[tex]A=\frac{1}{2}h(b_1 +b_2)[/tex] [multiply both sides by 2]
[tex]2A=h(b_1 +b_2)[/tex] [divide both sides by b₁+b₂]
[tex]\frac{2A}{b_1+b_2} =h[/tex]
[tex]h=\frac{2A}{b_1+b_2}[/tex]
---------------------------------------------------------------------------------------------
b.
To solve for b₂, we first multiply both sides by 2. Then, we divide both sides by h. This leaves us with [tex]\frac{2A}{h} =b_1+b_2[/tex]. To get b₂, you subtract both sides by b₁.
Answer:
h=2A/(b1+b2)
and
b2=2A/h-b1.
I need help please please
Could someone help me out, I’m not sure how to do these :,)
Answer:
1.) Reflection over y=1
2.) Translation rule: (x-5, y-3)
3.) Reflection over the y axis
4.)Translation rule: (x-4, y+1)
Step-by-step explanation:
Plz I need it now I am stuck
Answer:
116
Step-by-step explanation:
Use the piecewise function to evaluate the following.
1.
(-2x² – 1,
X2
2
-
4,
X2
5
a. f(0) =
b. f(5) =
c. f(2)=
d. f(-3) =
the circumference of a circle is 264 cm find its area
Answer:
5544 cm²
Step-by-step explanation:
Radius of circle = r
Circumference = 2πr
2πr = 264
22/7*r = 132
r = 132*7/22
= 42 cm
Area = πr²
= 22/7*42*42
= 5544 cm²
1. Evaluate f(x) = 3x - 1 at f(2) 2. Evaluate f(x) at f(-5) -6 f(x) 3 4 -5 -4 -5 3 3 Evaluate f(x) at (0)
Answer:
5
Step-by-step explanation:
3(2)-1
6-1
5
Answer:
5
Step-by-step explanation:
3(2)-1
6-1
5
Adam was learning to play a new a board game. He spun the spinner 5 times, and each time it landed on "Go back 4 spaces." How did the position of Adam's game piece change over these 5 spins?
Answer: -20 spaces
Step-by-step explanation:Hello! I hope this helped you out :)
A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two
sets of data?
3
O median
O mode
mean
• skandard deviation
Answer:
He would use mean as a statistic to compare the spread of the two sets of data.
Step-by-step explanation:
What is mean?
Arithmetic Mean represents a number that is obtained by dividing the sum of the values of a data set by the total number of values
What is statistic?
A statistic (singular) or sample statistic is any quantity computed from values in a sample which is considered for a statistical purpose.
The mean takes into account the whole spread of the data among the various statistic and is helpful in comparing data.
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Answer:
D. standard deviation
Step-by-step explanation:
100% on edge
HELP ME PLEASE DUE IN 5 MIN
Answer:
Step-by-step explanation:
im pretty sur ethe answer is 58... i havent done this is 3 yeras so if its wrong sorry
Which expression is a representation of the following:
+4
-7
A.4+ (-7) = - 3
B.7-4=3
C.4 + 7 = 11
D.4 + (-7) = 3
Does anyone understand?? Consider the set {2, 1, 3, 4}. How many proper subsets could be formed from this set?
If a set contains ‘n’ elements, then the number of proper subsets of the set is 2^n - 1.
In this problem,
n = 4
2^4 - 1 = 16 - 1 = 15 proper subsets
what is good for your health
Answer:
Exercise, 8 hrs of sleep, healthy diet with lots of fruits and vegetables are all good for your health
Step-by-step explanation:
The wholesale price for a pillow is 7.50 . A certain department store marks up the wholesale price by 70% . Find the price of the pillow in the department store. Round your answer to the nearest cent, as necessary.
The price of the pillow in the department store is $12.75
The wholesale price of the pillow= 7.50
The store mark up price was increased by 70
The price can be calculated as follows
70/100 × 7.5
= 0.7 × 7.5
= 5.25
5.25 + 7.50
= 12.75
Hence the price of the pillow is $12.75
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I need help pls! :/ anyone know the answer to this?
Answer:
I think it is a
Step-by-step explanation:
Sparkle Cleaners uses 2 3 of a jug of window cleaner in 3 weeks. How much window cleaner do they use in 1 week? Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Answer:
7⅔ window cleaner
Step-by-step explanation:
23 =3w
x= 1w
3x =23
x= 7⅔ window cleaner
If BD=7x-10, BC=4x-29,and CD=5x-9 what is x ?
From the question, we know that the sum of BC and CD equals BD.
BD = BC + CD = 7x - 10
BC = 4x - 29
CD = 5x - 9
Let's set BC and CD equal to BD
4x - 29 + 5x - 9 = 7x - 10
Combine like terms on the left side.
9x - 38 = 7x - 10
Add 38 to both sides and subtract 7x from both sides.
2x = 28
Divide both sides by 2
x = 14
Answer:
Step-by-step explanation:
Hope this helps
Complete each equation with a number that makes it true.4 * ____ = 36 * 1 point 5 * ___ = 1 *
Answer:
9 and 1/5
Step-by-step explanation:
4*9=36
5*(1/5)=1
Answer:
4*_9_=36 1 point 5 _0.5__=1
Step-by-step explanation:
okay all u have to do is 36 divided by 4 is 9. 1.5 __0.5__ =1.0
185=-5(10r+3) please help me with this question
Steps to solve:
185 = -5(10r + 3)
~Distribute right side
185 = -50r - 15
~Add 15 to both sides
200 = -50r
~Divide -50 to both sides
-4 = r
Best of Luck!
Answer:
r=-4
Step-by-step explanation:
185= - 5 10 r + 3
37= 10 r + 3
10r = - 3 - 37
10 r = - 40
Help please I don’t know the answer and the teacher didn’t explain
Answer:
Step-by-step explanation:
[tex]\frac{-4d^{2}+15d^{2}}{5}=\frac {11d^{2}}{5}\\\\=\frac{11*1^{2}}{5}\\\\=\frac{11}{5}\\\\=2\frac{1}{5}[/tex]
Point g is on line segment FH. Given FG=5x+2, GH= 3x-1, and FH= 9, determine the numerical length of FG.
Answer:
Step-by-step explanation: fg + Gh = fh
8x+1=9
8x=8
X=1
The numerical length of the line segment FG is 7 units.
Given that, FG=5x+2, GH= 3x-1, and FH= 9.
We need to find the numerical length of FG.
What is a line segment?A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.
Now, FH=FG+GH
⇒9=5x+2+3x-1
⇒8x+1=9
⇒8x=8
⇒x=1
So, FG=5x+2=7
Therefore, the numerical length of the line segment FG is 7 units.
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19. A car rental agency charges $250 per week plus $0.45 per mile to rent a car. How many miles can you
travel in week for $587.50? Let x represent the number of miles travelled.
Find the height of triangle whose are is 1500m2 and base 7.5 cm
Answer:
x = 400 m^2
Step-by-step explanation:
[tex]\frac{1}{2}(7.5cm * x) = 1500m^2 \\\frac{1}{2}(7.5cm * x) = 150,000cm^2 \\7.5cm * x = 300,000cm^2 \\x = 40,000 cm^2\\x = 400 m^2[/tex]
4(5x – 9) = -2(x + 7) solve and justify each step
Step-by-step explanation:
4(5x-9)=-2(x+7)
4*5x-4*9=-2*x-2*7
20x-36=-2x-14
20x+2x=-14+36
22x=22
x=22/22
x=1
Maria is making a skirt with rows of ribbon around the bottom. Each row of ribbon is 1.75 yards long. How many rows will she have if she is cutting the pieces from 5.25 yards long?
Answer:
3 rows
Step-by-step explanation:
Answer:
3 rows
Step-by-step explanation:
you just divide