Answer:
Width of the rectangle = 10 feet
Length of the rectangle = 25 feet
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Let
Width of the rectangle = x feet
Length of the rectangle = 3x - 5 feet
Perimeter of the rectangle = 70 feet
Perimeter of a rectangle = 2(length + width)
70 = 2{x + (3x - 5)}
70 = 2{x + 3x - 5}
70 = 2(4x - 5)
70 = 8x - 10
70 + 10 = 8x
80 = 8x
Divide both sides by 8
x = 80 / 8
= 10
Width of the rectangle = 10 feet
Length of the rectangle = 3(10) - 5
= 30 - 5
= 25 feet
pls help meh ill give brainliest i gave it before so why not middle school math
Answer:
1800
Step-by-step explanation:
suppose the initial cost to be x
it was increased by 6.5%
so, since the price increased is 117
117=6.5% of x
117=(6.5/100) . x
117 . 100=6.5 x
x=11700/6.5
x=1800
Alyssa starts with $40 and saves $10 each week. Bill has $24 and saves $12 each week. For numbers 5a. – 5c., determine whether each statement is True or False. Write "True" or "False" for each statement. a. Bill will never have more money than Alyssa. b. Bill's savings can be represented by the equation = 12 + 24 where x is the number of weeks and y is his savings. c. Alyssa and Bill will have the same amount of money at Week 6.
Answer: See explanation
Step-by-step explanation:
Alyssa starts with $40 and saves $10 each week. This can be written as:
= 40 + 10x
Bill has $24 and saves $12 each week. This can be written as:
= 24 + 12x
where, x = number of weeks
a. Bill will never have more money than Alyssa.
False.
From the 9th week, Bill will have more money than Alyssa. To check goes below.
Alyssa = 40 + 10x = 40 + 10(9) = 40 + 90 =$130
Bill = 24 + 12x = 24 + 12(9) = 24 + 108 = $132
b. Bill's savings can be represented by the equation = 12 + 24 where x is the number of weeks and y is his savings.
False.
Bill savings can be represented by:
= 24 + 12x
where, x = number of weeks
c. Alyssa and Bill will have the same amount of money at Week 6.
False.
Alyssa = 40 + 10x
= 40 + 10(6)
= 40 + 60
= $100
Bill = 24 + 12x
= 24 + 12(6)
= 24 + 72
= $96
What is the quotient?
hope u understand this
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
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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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
if abcd is dilated by a factor of 1/3 the coordinate of A would be?
Answer:
A' = (-1, -1)
Step-by-step explanation:
Rule for the dilation of any point A(x, y) about the origin by a factor of k is given by the rule,
A(x, y) → A'(kx, ky)
From the graph attached,
Coordinates of point A are (-3, -3) and it is dilated by a scale factor of [tex]\frac{1}{3}[/tex] about the origin then the coordinates of the image point A' will be,
A(-3, -3) → [tex]A'(-3\times \frac{1}{3},-3\times \frac{1}{3})[/tex]
→ A'(-1. -1)
Therefore, coordinates of A' = (-1, -1) is the answer.
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.
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:
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:
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:
https://brainly.com/question/30034780
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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 :)
please help i have to get this all done by tommorw
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:
- 2(5 + 5x) = 100
show work
Answer:
-10-10x=100
-10x=100+10
-10x=110
x=-11
Step-by-step explanation:
Answer:
-2(5+5x)=100
-10-10x=100
-10x=110
x=-11
Step-by-step explanation:
:)
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 = √143How 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).
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
I need help!!!! Need the answers now please!!
Answer:
Answer of this equation is (x-2)^2/ (X+3)^2
Step-by-step explanation:
x^2-4/X+3 × x-2/ x^2+5x+6
(X+2)(x-2) / X+3 × x-2/ x^2+(2+3)X+6
(X+2)(x-2)/X+3 × x-2/(X+2)(X+3)
(x-2)(x-2)/(X+3)(X+3)
(x-2)^2/(X+3)^2
help pleasee due todayyy ! :(
Answer:
1. $434
2. 36 ways
Step-by-step explanation:
1. 350×6÷100=21
21×4=84
84+350=434
What are the answers here?
Answer:
x
Step-by-step explanation:
y interspect x
jrbrbhrferfeerjfklebiviebvewb bpqib iqbepib phqb ehb piqebj f hbwflvfuyfe
Answer:
Ghjurdvbjkhffgjiojjjggdtj
Step-by-step explanation:
Every school day Dylan writes the school bus 4.79 mi round trip between home and school estimate the total distance Dylan wrote the school bus last month when there were 21 school days writing a question a model of your work
Answer:
[tex]100.59\ \text{miles}[/tex]
Step-by-step explanation:
The distance traveled by Dylan every day is 4.79 miles
Let the number of days he went to school be [tex]x[/tex]
Distance traveled by Dylan in a month is given by
[tex]y=4.79x[/tex]
Total number of days Dylan went to school last month is 21
The distance traveled by Dylan last month was [tex]y=4.79\times 21=100.59\ \text{miles}[/tex]
Hurry! might mark brainliest! what is this in slope-intercept form?
: 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
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.
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.
Y=-3x+3
Fill in the table using this function rule.
X. Y
-1. _
-2. _
0. _
1. _
2._
3._
4._
what is the measure of ABC?
Answer:
B
Step-by-step explanation:
The angle at the centre is equal to the arc that subtends it , thus
∠ ABC = arc AB = 75° → B