Answer:
The number is:
[tex]n = 40[/tex]Step-by-step explanation:
Let 'n' be the number
Increasing a number by 20% = (n + n×20/100)Decreasing a number by 14% = (n - n×15/100)As the difference between increasing a number by 20% and decreasing the same number by15% is 14.
Thus, the expression becomes
[tex]\left(n\:+\:\frac{n}{5}\right)\:-\:\left(n\:-\:\frac{3n}{20}\right)\:=\:14[/tex]
[tex]n+\frac{n}{5}-n+\frac{3n}{20}=14[/tex]
[tex]\frac{7n}{20}=14[/tex]
Multiply both sides by 20
[tex]\frac{7n}{20}\cdot \:20=14\cdot \:20[/tex]
[tex]7n=280[/tex]
Divide both sides by 7
[tex]\frac{7n}{7}=\frac{280}{7}[/tex]
[tex]n=40[/tex]
Thus the number is:
[tex]n = 40[/tex]Alice's mother wants to wallpaper two adjacent walls in Alice's bedroom. She also wants to put a border along the top of all four walls. The bedroom is 9 ft by 12 ft by 8 ft high. A) If each double roll covers approximately 60 fr and the wallpaper is sold in double rolls only, how many double rolls are needed? B) If the border is sold in rolls of 5 yd each, how many rolls of the border are needed?
Answer:
A) The number of wallpapers needed to cover the walls is 6 double roll wall papers
B) The number of wall paper border rolls needed is 3 rolls
Step-by-step explanation:
A) The given parameters are;
The dimensions of the room are 9 ft. by 12 ft. by 8 ft. high,
The area one double role wallpaper covers = 60 ft.²
Therefore, we have;
The area of the room wall = 12 × 8 × 2 + 9 × 8 × 2 = 336 ft²
The number of double rolls of wallpaper to be used = Area of wall/(area of wallpaper) = 336/60 = 5.6
Therefore, given that the wall papers are sold in single units, we round up to the next whole number of units to get;
The number of wallpapers needed to cover the walls = 6 double roll wall papers
B) The borders of a wallpaper are installed parallel (and installed along) to the ceiling line
Therefore, the amount of wallpaper border required is given as follows;
Wall paper border length required = 2 × Length of the room + 2 × Width of the room
∴ Wall paper border length required = 2 × 9 ft. + 2 × 12 ft. = 42 ft.
The size of each wall paper border sold = 5 yd. = 15 ft.
Therefore;
The number of wall paper border rolls required = 42 ft./(5 yd.) = 42 ft./(15 ft.) = 2.8 rolls
Therefore, we round up to get the number of wall paper border rolls needed as 3 rolls of wall paper borders.
How can you find the diameter and radius if you know the circumference.
Answer:
If we say the circumference is 1600 pi, and this is equal to pi times the diameter, we can just divide both sides by pi to get the diameter, which is going to be 1600.
Step-by-step explanation:
Circles are all similar, and "the circumference divided by the diameter" produces the same value regardless of their radius. This value is the ratio of the circumference of a circle to its diameter and is called π (Pi).
What is the multiplicative identity of -12/13
A.-13/12
B.1
C.0
D12/13
Answer:
The number '1' is called the 'multiplicative identity' of a number '-12/13' because it does not change the number '-12/13' after getting multiplied by it.
Therefore, option (B) is true.
Step-by-step explanation:
We know that when a number let say 'n' get multiplied by '1', it remains unchanged.
i.e.
n × 1 = n1 × n = nThe number '1' is called the 'multiplicative identity' of a number 'n' because it does not change the number 'n' after getting multiplied by it.
Given the number
-12/13
Multiply the number '-12/13' by '1'.
i.e.
-12/13 × 1 = -12/13
1 × -12/13 = -12/13
Thus, the number '1' is called the 'multiplicative identity' of a number '-12/13' because it does not change the number '-12/13' after getting multiplied by it.
Therefore, option (B) is true.
What are the answers here?
Answer:
x
Step-by-step explanation:
y interspect x
In AWXY, X = 1.2 cm, ZX=45° and Y=108°. Find the length of w, to the nearest 10th
Answer:
The length of w is 0.8 cm
Step-by-step explanation:
In Δ WXY
x is the opposite side to ∠X
w is the opposite side to ∠W
y is the opposite side to ∠Y
∵ m∠X = 45°
∵ m∠Y = 108
∵ The sum of the measures of the interior angle of a triangle is 180°
∴ 45 + 108 + m∠W = 180
→ Add the like terms in the left side
∵ 153 + m∠W = 180
→ Subtract 153 from both sides
∴ m∠W = 27°
Now we can use the sine rule to find the length of w
∵ [tex]\frac{w}{sin(W)}[/tex] = [tex]\frac{x}{sin(X)}[/tex] = [tex]\frac{y}{sin(Y)}[/tex]
→ Use the first 2 ratios to find w
∵ x = 1.2 cm
∵ [tex]\frac{w}{sin(27)}[/tex] = [tex]\frac{1.2}{sin(45)}[/tex]
→ By using cross multiplication
∴ w × sin(45) = 1.2 × sin(27)
∴ w sin(45) = 1.2 sin(27)
→ Divide both sides by sin(45)
∴ w = 0.7704474263
→ Round it to the nearest tenth
∴ w = 0.8 cm
∴ The length of w is 0.8 cm
please help i have to get this all done by tommorw
18/3=?/1 what's the missing unit rate
Answer: 6
Step-by-step explanation:
Answer:
it's equal to 6/1!!
Step-by-step explanation:
math help pls!!
i have no clue how to do this
Answer:
I THINK it's A
Step-by-step explanation:
Gary Sanchez struck out 112 times in 350 at bats. What PERCENTAGE of his at-bats were strike outs?
Given :
Gary Sanchez struck out 112 times in 350 at bats.
To Find :
Percentage of his at-bats were strike outs.
Solution :
We know, percentage hits is given by :
[tex]Percentage = \dfrac{\text{Number of time bats were strike out}}{\text{Total number of bats}}\times 100 \ \%[/tex]
Putting all given values in above equation, we get :
[tex]Percentage = \dfrac{112}{350}\times 100\ \%\\\\Percentage = 32\ \%[/tex]
Hence, this is the required solution.
The expression (2x^4)^2(5x)^3 can be written equivalently as
Answer:
500 x^11
Step-by-step explanation:
Answer:
500x^11
Step-by-step explanation:
Using PEMDAS first get rid of parenthesis
(2x^4)^2 is the same as 2x^4 * 2x^4 or 4x^8
(5x)^3 is the same as 5^3 * x^3 or 125x^3
multiply the two together, remember exponents on like terms add together
125*4 = 500
x^8 * x^3 = x^11
multiply together
500x^11
please give thanks :)
I dont understand ratios
im too
good luck
im lucky cat
The equation is x+2y=20
Rearrange the equation for y.
Answer:
2y=20-x
y=20-x/2
y=10-x/2
Step-by-step explanation:
I know this is simple, but I’m having trouble. Can you help me?
A plastics stock dropped 1 1/4 points every day of a 5-day business week. How many points did the stock drop that week?
Answer:
That will be 1/14 points
Step-by-step explanation:
==============================================
Work Shown:
1/4 = 0.25
1 & 1/4 = 1 + 1/4 = 1 + 0.25 = 1.25
The stock dropped by 1.25 points each day for 5 days
It dropped a total of 5*1.25 = 6.25 = 6 & 1/4 points.
------------
Alternative method:
5*(1 & 1/4) = 5*(1 + 1/4)
5*(1 & 1/4) = 5*1 + 5*(1/4)
5*(1 & 1/4) = 5 + 5/4
5*(1 & 1/4) = 5*(4/4) + 5/4
5*(1 & 1/4) = 20/4 + 5/4
5*(1 & 1/4) = (20+5)/4
5*(1 & 1/4) = 25/4
5*(1 & 1/4) = (24+1)/4
5*(1 & 1/4) = 24/4 + 1/4
5*(1 & 1/4) = 6 + 1/4
5*(1 & 1/4) = 6 & 1/4
We get the same answer as before.
What is the factored form of the binomial expansion x3 − 27x2 + 243x − 729?
(x – 3)3
(x – 3)4
(x – 9)3
(x – 9)4
Answer:
C
Step-by-step explanation:
(x-9)3 on edge
a group of biologists is surveying the mice population in a forest. the equation n=75^t gives the total number of mice,n, t years after the survey began. what does the number 3 mean in this situation.
1. the common difference
2. the total population
3. the common ratio
4. the slope
Complete question is;
A group of biologists is surveying the mice population in a forest. The equation n=75⋅3t gives the total number of mice, n, t years since the survey began.
what does the number 3 mean in this situation.
1. the common difference
2. the total population
3. the common ratio
4. the slope
Answer:
3 is the common ratio
Step-by-step explanation:
We are given that the equation; n = 75⋅3^(t) gives the total number of mice, n, t years since the survey began.
Normally, formula when calculating population growth takes an exponential function;
n = n_o(e^(rt))
Or in this our case, it can be written as;
n = n_o((e^(r))^(t))
Comparing this with n = 75⋅3^(t), we can see that e^(r) = 3
Where r is the growth rate.
e is exponential constant.
Thus, we can say that 3 is the common ratio
help and ill give brainliest
Answer:
10
Step-by-step explanation:
The band gets 1/2 of the total amount of water. The total amount collected is twice as much as what the band gets. Multiply 5 by 2 to get 10
Brainliest Please
Happy Holidays
Please help due in 15 min
Find the third side in simplest radical form:
Answer:
x = √143
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Identify
We are given a right triangle
Step 2: Define variables
Leg a = 1
Leg b = x
Hypotenuse c = 12
Step 3: Solve for x
Substitute: 1² + x² = 12²Isolate x term: x² = 12² - 1²Exponents: x² = 144 - 1Subtract: x² = 143Isolate x: x = √143: A coffee shop spends $408 for an order of 17 cases of paper cups. If the coffee shop adds 5 more cases of paper cups to the order, how much will the total cost be
Step-by-step explanation:
A case of paper cups costs $408 / 17 = $24.
5 more cases => 22 cases of paper cups total.
Hence the total cost will be 22 * $24 = $528.
Answer:
$528
Step-by-step explanation:
We find the unit rate of the cost per case.
$408 / 17 cases = $24/case
Each case costs $24.
Adding 5 cases to 17 cases, the order will be for 22 cases.
22 cases * $24/case = $528
Answer: $528
A hair stylist knows that 87% of her customers get a haircut and 40% get their hair colored on a regular basis. Of the customers who get their hair cut, 24% also get their hair colored. What is the probability that a randomly selected customer gets their hair cut and colored?
Answer:
0.35
Step-by-step explanation:
The probability that a customer gets a hair cut and also gets a hair colored is 0.2088
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here: The probability of customers getting a haircut is 87% and the probability that the customers that have a haircut also get their hair colored are 24%
Thus the conditional probability that a customer who has a hair cut also gets his hair colored is
P( haircut/hair colored )= 87%×24%
=0.87×0.24
=0.2088
Hence, The probability that a customer gets a hair cut and also gets a hair colored is 0.2088
Learn more about probability here:
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Solve the equation. Round the answer to the nearest tenth.
5*6^3n=20
Step-by-step explanation:
5×6'3n=20
30'3n=20
3n=20-30
3n/3= -10/3
n= -3
Help me please
Order the ratios from least to greatest:
9/4; 5 to 2; 13:6; 10/3; 20:7
Use a semi-colon to separate each ordered ratio.
Order the ratios from least to greatest:
5:16; 3/8; 2 to 6; 4/15; 12:40
Use a semi-colon to separate each ordered ratio.
Answer:
To establish a ratio relation you must see the difference hence 9:4 =2.25So 2.25, 2.5, 2.11, 3.33, 2.85From least to greatest:
13:6 ; 9:4 ; 5:2 ; 20:7 ; 10:3
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What is the quotient?
hope u understand this
this one please if you can
1.Given, x={p,q}.
Now, possible subsets of x are ϕ,{p},{q},{p,q}.
2.if A = fa b, c. d, e and B of a, e, i, o, u. list the elements of B - A and also show it in a venn diagram by
shading
hope it helps
merryyyy Christmassss
happy holidays
have a great day/night
You should mark them brainliest
The teacher is handing out note cards to her students. She gave 121 note cards to the first student, 144 note cards to the second student, 169 note cards to the third student, and 196 note cards to the fourth student. What kind of sequence is this?
Answer: repeated addition i think
Step-by-step explanation:
6(-12+5)-3(-12) Help solve with work please.
Answer:
-6
Step-by-step explanation:
6 into -7 + 36
-42+36=-6
Answer:
Step-by-step explanation:
steps are stated below
step 1
6(-12+5)-3(-12) equation
step 2
6(-12+5)-3(-12) simplify the equation
(6)(-7)−(3)(-12)
-42-(3)(-12)
step 3
-42-(3)(-12) times the number in the brackets
-42-(-36)
-6
select the correct answer consider these functions f(x)=3x-7 g(x)=X +1/x-1 what is the value of f(g(3))
Answer:
Me and my massive brain, among other massive things of mine, believe it to be -1
Step-by-step explanation:
The value of the function F(g(x) will be equal to (7 / 2).
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given functions are:-
f(x)=3x-7 g(x)= x +(1/x-1)The function F(g(x) is written as :-
F(g(x) = 3 [ x + ( 1 / ( x-1 )) -7 ]
F(g(x) = 3 [ (3 + (1/2) - 7 ]
F(g(x) = 3 (7 / 2 ) -7
F(g(x) = ( 21/2) - 7
F(g(x) = ( 21-14 ) ( 2 )
F(g(x) = ( 7/2 )
Therefore the value of the function F(g(x) will be equal to (7 / 2).
To know more about function follow
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Answer:
Ghjurdvbjkhffgjiojjjggdtj
Step-by-step explanation:
The area of Isaiah's bedroom is 13 1/3 square yards. His bed's area is 2 2/3 square yards. Find the unit rate and explain, in words, what it means in the context of this problem.
Answer:
5
Step-by-step explanation:
Area of bedroom = 13 1/3 square yards
Area of bed = 2 2/3 square yards
Unit Rate = Area of bedroom / Area of bed
Unit Rate = (40 / 3 ÷ 8/3)
Unit Rate = 5
Hurry! might mark brainliest! what is this in slope-intercept form?