The dimensions of the rectangle are; length 63 inches and width is 20 inches.
What is defined a the perimeter of rectangle?The perimeter (P) of such a rectangle would be the total distance of all its sides. A rectangle has two equal lengths as well as two equal widths because its opposite sides are equal.Let 'L' be the length of the rectangle.
Let 'W' be the breadth of the rectangle.
As, the length of a rectangle is three more than triple the width.
Thus,
L = 3 + 3W
The formula for the perimeter is;
Perimeter = 2 (L+W)
The value of perimeter is 166 inches.
Thus,
166 = 2(3 + 3W +W)
166 = 2(3 + 4W)
166 = 6 + 8W
166 - 6 = 8W
W = 20
W = width = 20 inches
L = 3 + 3W
L = 3 + 3(20)
L = 3 + 60
L = 63 inches.
Thus, the dimensions of the rectangle are; length 63 inches and width is 20 inches.
To know more about perimeter of rectangle, here
https://brainly.com/question/17297081
#SPJ9
A local mountain biking club charges
$45 to join and $5 for each bike trip a
member goes on. Write an algebraic
expression to represent the total some-
one pays, where b represents the num-
ber of trips a person travels.
Answer:
x=45+5b
Step-by-step explanation:
x is the total
James buys a drink for 2 euros (€).
Work out the cost of the drink in pounds (£) when £1 = €1.252.
Give your answer correct to 2 decimal places.
Answer:
£1.6
Step-by-step explanation:
we can round 1.252 to 1.25
to find how much 2 euros is, we first have to make 1.25 into 2.
to do that, we will use the same equation to get the answer for £
1.25/5*8=0.25*8=2. now we repeat for £1
1/5*8=0.20*8=1.6
hope it helps
What are 5 of examples about positive and negative numbers and real life
Answer:
Above sea level (positive)
Below sea level (negative)
Temperature (can be both)
Money loans (can be both)
science (protons have both negative and positive charge)
Step-by-step explanation:
find derivative of f(x)=[tex]9x^{2}(1+2x^{-3})[/tex]
The derivative of the given equation is x = −3√2 ≈−1.259921049894873.
What is a derivative?In mathematics, the derivative is the rate of variation of a function given respect to a variable. Derivatives are essential for solving calculus related differential equation issues.
What exactly is a derivative in calculus?The derivative is defined as the slope of a straight line that is tangent towards the curve at a certain location. An additional derivative definition is the limit of the function's instantaneous rate of evolution as the time between observations approaches zero. activity, such as currency and interest rate risk, for a set length of time.
What is the significance of studying derivatives?It is significant because many physical phenomena, such as velocity, acceleration, and force, are defined with an instantaneous rate of change of some other quantity.
According to the given data:Given :
9x^2(1+2x^-3).
= [tex]9\left(\frac{2}{x^3}+1\right) x^2[/tex]
= [tex]\frac{\mathrm{d}}{\mathrm{d} x}\left[9\left(\frac{2}{x^3}+1\right) x^2\right][/tex]
= [tex]=9\left(\frac{\mathrm{d}}{\mathrm{d} x}\left[\frac{2}{x^3}+1\right] \cdot x^2+\left(\frac{2}{x^3}+1\right) \cdot \frac{\mathrm{d}}{\mathrm{d} x}\left[x^2\right]\right)[/tex]
= [tex]=9\left(\left(2 \cdot \frac{\mathrm{d}}{\mathrm{d} x}\left[\frac{1}{x^3}\right]+\frac{\mathrm{d}}{\mathrm{d} x}[1]\right) x^2+\left(\frac{2}{x^3}+1\right) \cdot 2 x\right)[/tex]
= [tex]=9\left(\left(2(-3) x^{-4}+0\right) x^2+\left(\frac{2}{x^3}+1\right) \cdot 2 x\right)[/tex]
= [tex]=9\left(2\left(\frac{2}{x^3}+1\right) x-\frac{6}{x^2}\right)[/tex]
= [tex]=18\left(\frac{2}{x^3}+1\right) x-\frac{54}{x^2}[/tex]
= [tex]\frac{18 x^3-18}{x^2}[/tex]
x = −3√2 ≈−1.259921049894873.
To know more about Derivatives visit:
https://brainly.com/question/25324584
#SPJ9
(1)What value of x makes the following equation true?
1/3x + 7 = 3+ 2/3x
Enter your answer as a number, like this: 42
(2)What value of r makes the following equation true?
5r−8=9r−12
Enter your answer as a number, like this: 42
(3)What value of t makes the following equation true?
5/9t−27=1/9t+21
Enter your answer as a number, like this: 42
(4)What value of y makes the following equation true?
−1/2(−5y+4)=2+1/2y
Enter your answer as a number, like this: 42
(5)What value of a makes the following equation true?
4(a+3)=2a+12
Enter your answer as a number, like this: 42
(6)What value of x makes the following equation true?
15+3x=3(2−2x)
Enter your answer as a number, like this: 42
(7)What value of u makes the following equation true?
1/2(12u−4u+6)=1+2u
Enter your answer as a number, like this: 42
The solutions of the linear equations are below:
(1/3)*x + 7 = 3 + (2/3)*x is true if x = 12
5r−8=9r−12 is true if r = 1
(5/9)t− 27 = (1/9)t + 21 is true if t = 108
−(1/2)(−5y+4) = 2 + 1/2y is true if y = 2.
How to solve the linear equations?a) The first linear equation we have is:
(1/3)*x + 7 = 3 + (2/3)*x
To solve this, move all the like terms together (I will move the ones with x to the left side and the ones without x to the right side).
(1/3)*x - (2/3)*x = 3 - 7
Now we just simplify:
-1/3*x = -4
Now we isolate x:
x = -3*-4 = 12
x = 12
That is the solution of the linear equation, so remember, you just need to isolate the variable.
Let's do the same for the other ones:
2) 5r−8=9r−12
5r - 9r = -12 + 8
-4r = -4
r = -4/-4 = 1
r = 1
3) (5/9)t− 27 = (1/9)t + 21
(5/9)*t - (1/9)*t = 21 + 27
(4/9)*t = 48
t = (9/4)*48 = 108
4) −(1/2)(−5y+4) = 2 + 1/2y
Here we start by expanding the product in the left side, we will get:
(5/2)*y - 2 = 2 + (1/2)*y
(5/2)*y - (1/2)*y = 2 + 2
(4/2)*y = 4
2*y = 4
y = 4/2 = 2
y = 2
And so on, that is the general method to solve linear equations, just isolate the variable in one side of the equation and simplify the other side.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
Math question please answer
Answer:
Option 3
Step-by-step explanation:
See attached image.
The population of Brazil was 10.112 million in 1855 and 12.51 million in 1860. Estimate the population of Brazil in 1870.
A.
11.82 million
B.
12.81 million
C.
19.15 million
D.
20.00 million
Based on the population of Brazil in 1855 and 1860, the estimated population in 1870 is C. 19.15 million
What is Brazil's estimated population in 1870?The increase in the population between 1855 and 1860 was:
= 12.51 - 10.112
= 2.398 million
The increase is:
= 2.398/10.112
= 24%
With an increase of 24% every 5 years, the population in 1870 is:
= 10.112 x (1 + 24%)³
= 19.27 million
In conclusion, we can estimate that the population of Brazil in 1870 was 19.15 million.
Find out more on population increase at https://brainly.com/question/26045900
#SPJ1
if the given set of ratios is equivalent, find the unknowns
The values of the two unknowns x and y are 8 and 32 respectively.
Here, we are given the following set of ratios-
21x, 1/4, y/8
These ratios are all equivalent, this implies-
2/x = 1/4 = y/8
Let us take the first two ratios-
2/x = 1/4
cross multiplying the two we get
2 x 4 = x
8 = x
x = 8
We've found the value of x
Now, let us take the other two ratios-
1/4 = y/8
again, cross multiplying the two we get
y = 4 x 8 y = 32
Thus, the values of the two unknowns x and y are 8 and 32 respectively.
Learn more about equivalent ratios here-
brainly.com/question/2914376
#SPJ9
Your question was incomplete. Check for full content below-
21x, 1/4, 7/8
If the given set of ratios is equivalent, find the unknowns.
A rare manuscript increased in value 800% over the past 5 years. This was an increase of $2,000. What was the value of the manuscript 5 years ago? What is the value of the manuscript now?
Value of the manuscript is as follows
A. The value of the manuscript 5 years ago is $250.
B. The value of the manuscript now is $10,000.
Appreciation is an increase in the value of an asset over time. This is unlike depreciation, which lowers an asset's value over its useful life. The appreciation rate is the rate at which an asset grows in value.
% increase=(new price - original price) / original price
8.0= 2000/original price
8*original price = 2000
original price = $250
So the value of the manuscript 5 years ago is $250.
Increase is 2000 , 5 times that.
new price is $10,000
The value of the manuscript now is $10,000.
Hence , the manuscript has the following value:
A. The manuscript was worth $250 five years ago.
B. The manuscript is currently worth $10,000.
To learn more about Appreciation and depreciation
https://brainly.com/question/9258878
#SPJ1
The square of an integer is 100.
What can you say about the cube of the intger
The possible cubes of an integer whose square is 100 can be 1000 and (-1000).
If the square of an integer is 100, then to find the value of integer we need to know the square root of 100
There exist two square roots of any number one with negative sign and another with positive sign
The square roots of the given integer that is 100 are 10 and -10
Now, we need to find out the value of [tex]10^{3}[/tex] and [tex]-10^{3}[/tex]
First cube [tex]10^{3}[/tex] which can also be written as 10×10×10 = 1000
Second cube [tex]-10^{3}[/tex] which can also be written as( -10)×(-10)×(-10) = (-1000)
So, the possible cubes of an integer whose square is 100 can be 1000 and (-1000).
To know more about square and cubes of an integer - https://brainly.com/question/10780570
#SPJ9
Qs. Here are four cards. There is a number on each card. 7 8 4 9 (a) Write down the largest 4-digit number that can be made using each card only once.
Answer:9874
Step-by-step explanation:
help pleaseeeeeeeeeeeeeeeeeeeeeeee
Answer:
C(x) = 20x + 120
Step-by-step explanation:
(a). If x=5 (you replace x with 5)
C(5) = 20(5) + 120
= 100+120=$220
Cost of producing five items is $220
(b). if x=16
C(16) = 20(16) + 120
= 320 + 120 = $440
Cost of producing sixteen items is $440
(c). C(35) = 820
This means that the cost of producing 35 items is $820
Hope this helps :-) xoxo
Name the variable terms of the expression. Then underline the variable part of each term.
5-8n-3n^2
The variable terms of the expression 5 - 8n - 3n² are: n, n²
(5 - 8n - 3n²)
In this question, we have been given an expression 5-8n-3n^2
We need to name the variable terms of the expression.
Also, we need to underline the variable part of each term.
We know that, variable is a term which represents an unknown value or quantity.
We have been given an quadratic expression.
5 - 8n - 3n²
We can observe that, 5, -8, -3 are fixed numbers i.e., constants.
And the alphabet n can take any real value.
Consider the first term,
5 => it is a constant
Consider the second term,
- 8n => here, the variable is n
Consider the third term,
- 3n² => here, the variable is n²
Now, we underline the variable part of each term.
5 - 8n - 3n²
Therefore, the variable terms of the expression 5 - 8n - 3n² are: n, n²
(5 - 8n - 3n²)
Learn more about an expression here:
https://brainly.com/question/13953425
#SPJ1
Write the function, y=|x|
after the following transformations:
1) Reflect the function about the y-axis.
2) Compress the function vertically by a factor of 1/4.
3) Shift the function left 84 units.
The function, after the transformations is y'' = 1/4(x +84)
How to determine the function, after the transformations?The function equation is given as:
y = |x|
1) Reflect the function about the y-axis.
This is represented as
(x, y) = (-x, y)
So, we have:
y' = |-x|
This gives
y' = |x|
2) Compress the function vertically by a factor of 1/4.This is represented as
(x, y) = (x, 1/4y)
So, we have:
y'' = 1/4y'
This gives
y'' = 1/4|x|
3) Shift the function left 84 units.This is represented as
(x, y) = (x + 84, y)
So, we have:
y'' = 1/4(x +84)
Hence, the function, after the transformations is y'' = 1/4(x +84)
Read more about transformation at:
https://brainly.com/question/4289712
#SPJ1
HELPPPPPPPPPPPPPPP
Solve for x for each trapezoid.
*
Answer:
10
Step-by-step explanation:
Opposite sides of a trapezoid are parallel. So, by the same-side interior angles theorem,
[tex]9x+30+7x-10=180 \\ \\ 16x+20=180 \\ \\ 16x=160 \\ \\ x=10[/tex]
What is the equation for the trend line passing through the scatter plot below using data points (10, 6) (30, 12)?
The linear equation that passes through (10, 6) and (30, 12) is:
y = (3/10)*x + 3
How to find the equation of the line?Remember that the general line equation (in the slope-intercept form) is:
y = a*x + b
Where a is the slope and b is the y-axis intercept.
If the line passes through two points (x₁, y₁) and (x₂, y₂), the slope will be:
a = (y₂ - y₁)/(x₂ - x₁)
Then in this case the slope is:
a = (12 - 6)/(30 - 10) = 6/20 = 3/10
Replacing that in our line we get:
y = (3/10)*x + b
To find the value of b we replace the values of one of the points, i will use (10, 6), it gives:
6 = (3/10)*10 + b
6 = 3 + b
6 - 3 = b = 3
Then we conclude that the linear equation is:
y = (3/10)*x + 3
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
M is the midpoint of AB. Find AM, MB and AB if AM = 2x + 9, MB = 4x-5
PLEASE HELP!!
Answer:
AM= 2x+4
MB= 5x-8
AB= ?
So to get AB, you would need to find the total measurements of AM and MB.
AM=MB
2x+4=5x-8
2x=5x-12
-3x=-12
x=4
So now to find the measurement of AB, you need to plug it into AM and MB.
2(4)+4+5(4)-8= 24!!!
So the measure of AB would be 24.
Step-by-step explanation:
A piece of cloth 7 ¾ yards long is to be cut into 5 pieces. How long will each piece be? Write your answer as an improper fraction yards
Answer:
35/20 yards
Step-by-step explanation:
We know the keyword “cut” means to divide, so we now know we have to use division.
7 3/4÷5/1
First, make 7 3/4 an improper fraction.
7 x 4 = 28
28+7= 35
Remember to keep the denominator.
35/4 ÷ 5/1
Then, use the method Keep, Change, & Flip.
(35/4)(1/5) = 35/20
Therefore…
Each piece will be 35/20 yards long.
PLEASE HELP URGENT
Find the angle measure. Tell which angle relationship you used. Show all work
Answer:
Step-by-step explanation:
1. m1=50 so m5= 50 (corresponding)
2. m4=45, then m6=123 (given in 4. but also... angles 6+8 = 180)
3. m2= 130, so m7 = 130 (alt interior)
4. m6 = 123, so m3 = (alt interior)
Father+son's age= 60 yrs. after 15 years father's age will be 2X to the son's age, what is the son's current age?
Answer:
the father is 45 and the son is 15
The sum of a number x and 33 is greater than the product of 4 and that number. What are the possible values for the number?
11 > x is the possible values for the number.
What is algebraic expression ?In algebraic formulations, numbers are represented by letters or alphabets without their numerical values being specified. The fundamentals of algebra taught us how to represent an unknown value using letters like x, y, and z. Here, these letters are referred to as variables. A mathematical expression may have both variables and constants. A coefficient is any value that is introduced before and increased by a variable.
Given that :The sum of a number x and 33 is greater than the product of 4 and that number.
x + 33 > 4x
33 > 3x
11 > x
For further information on algebraic expressions, go to:
brainly.com/question/953809
#SPJ9
h(x) = x³ - 2x² + x; Find h(4)
Answer:
the value of h(4) is 36 from given equation.
Step-by-step explanation:
Given that
The polynomial equationh(x) = x³ - 2x² + x
To find
h(4) = ...... ?So, according the question
We have,
h(x) = x³ - 2x² + x
For finding the value of h(4) from the given polynomial equation, we have to replace x from 4 or in other word we have to put x = 4 in given polynomial equation.
So, let's put x = 4 in that equation.
We get,
h(4) = (4)³ - 2(4)² + 4
= 64 - 2×16 + 4
= 68 - 32
h(4) = 36
Answer: Hance the value of h(4) is 36 from given equation.
to learn more about polynomial equation please click on the link
https://brainly.com/question/20630027
#SPJ4
A large rectangle has side links of 8 m in 6 m a smaller rectangle with side links of 4 m into meters is cut out of the large rectangle what is the area of the remaining part of a large rectangle
The area of the remaining part of a large rectangle is 8m².
How to calculate the value?It should be noted that the original rectangle had sides of 8m by 6m.
In this case, it was stated that 4m was cut out from each side. The value of the remaining sides will be:
Area = Length × Width
Area = (8 - 4) × (6 - 4)
Area = 4 × 2
Area = 8m²
Therefore, the area of the remaining part of a large rectangle is 8m².
Learn more about rectangles on:
brainly.com/question/17092411
#SPJ1
pls help me i need help
7.25 is the right response as a change figure.
According to the query, Joyce purchased 2.2 pounds of apples for a total of $1.25 per apple.
As a result, Joyce has paid a total of 2.2 x 1.25 = 2.75.
She then paid the $10 bill:
Amount left over: 10 - 2.75 = 7.25
Therefore, 7.25 is the right response as the remaining sum.
Cost price: What is it?Cost price is the sum of money that is paid to the maker or the buyer for the good. They'll alter the sum and set a selling price later.
To learn more about the cost price from the given link:
https://brainly.com/question/19104371
#SPJ9
In 2-15, estimate each product.
77 x 412
Answer:
Hope this helps :)
412 × 77 = 31,724
Which is estimated about 30,000 something.
Students at polk midle school ate given a fitnrss test. The results of their tests are shown .in the table. Use the table to answer questions a-c
In linear equation ,the time taken by Evian, Toby and J are 10, 9 and 12 minutes respectively.
What is linear equation?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Using the concept of proportional relationship, the time taken by Evian, Toby and J are 10, 9 and 12 minutes respectively.
Using the concept of proportional relationship :
For Evian :
1.5 miles = 15 minutes
1 mile = x
1.5x = 15
x = 15 / 1.5
x = 10 minutes
For Toby :
2/3 miles = 6 minutes
1 mile = x
2/3x = 6
x = 6 ÷ 2/3
x = 9 minutes
For J :
0.75 miles = 9 minutes
1 mile = x
0.75x = 9
x = 9 / 0.75
x = 12 minutes
Therefore, the time taken by Evian, Toby and J are 10, 9 and 12 minutes respectively.
Learn more about linear equation
brainly.com/question/11897796
#SPJ9
The complete question is -
Students at Polk Middle School are given a fitness test. The results of their tests are shown in the table. Use the table to answer questions d-c. a. Find the time it takes each student to run 1 mile. FITNESS TEST RESULT Evian 1 1/2 miles in 15 minutes Toby: 2/3 miles in 6 minutes Jillian 3/4 miles in 9 minutes.
Out of N$ 36,000, two fifth were kept in a bank . of the remaining, 40% is spent on food and 15% on rent. Find how much money is spent on food and how much on rent.?
According to the given statement
Money is spent on food =8640
on rent is = 3240
What is Savings?Savings refers to the money that is left over after consumer expenditure is deducted from disposable income during a specific time period. Savings, then, is the net amount of money that a person or household has left over after all bills and commitments have been paid.
Savings are retained as cash or cash equivalents (such as bank deposits), which carry negligible risk of loss but also negligibly low returns. Savings can increase through investing , but doing so necessitates risking some of the money.
According to the given value;
saving = 36000 x 2/5
= 7200 x 2
=14400
=36000- 14400
=21600. left
food = 40/100 x 21600
=40 x 216
=8640
rent = 15/100 x 21600
=15 x 216
=3240
Money is spent on food =8640
and on rent is = 3240
To know more about Savings, visit;
https://brainly.com/question/10749354
#SPJ9
Unit 2-A:
Estimate the sum. Round to the nearest whole number (ones place).
$14.59+ $5.83 + $0.89 to
The nearest whole number (ones place).
$14.59+ $5.83 + $0.89 =21 rounding off
Given,
$14.59+ $5.83 + $0.89
Whole no. is 0,1,2..
If we add these number we get 21.31 is 21
When rounding numbers, there are several basic guidelines that must be observed.
We must first determine our rounding digit. This is the digit that will be affected in the end.
Following that, we must examine the digit to the right of this location, which will determine the fate of the rounding digit.
We do not modify the rounding digit if the digit to the right is less than 5. All digits to the right of the rounding digit, however, are altered to 0.
If the digit to the right is 5 or greater, the rounding digit is increased by one, and all digits to the right of the rounding digit are converted to 0.
To learn more about Rounding off from the given link:
https://brainly.com/question/13391706
#SPJ9
A coordinate grid with a line passing through (negative 4, 0) and (0, negative 8)
The line y = –2x – 8 is graphed. Which ordered pairs are solutions to the equation? Check all that apply.
(–8, 8)
(–6, 2)
(–2, 4)
(0, –4)
(2, –12)
Answer: The answers are (-8,8) and (2,-12)
Step-by-step explanation: I substituted the coordinates into the equations and on both sides they matched!
Hope this helps! :3
Use the graph to determine and interpret the solution.
A 4 cm bean plant grows at a rate of StartFraction one-half EndFraction. cm per week. A 5.5 cm flower grows at a rate of StartFraction one-fourth EndFraction. cm per week. If h is the height of the plant in centimeters and t is the number of weeks, then the system of equations is:
h = h equals StartFraction one-half EndFraction t plus 4.t + 4
h = h equals StartFraction one-fourth EndFraction t plus 5.5.t + 5.5
The solution to the system,
, means that the plants will both be
centimeters tall after
weeks.
The solution to the system of the equations h = (1/2)t + 4 and h = (1/4)t + 5.5 will be 7 cm and 6 weeks.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Half a centimeter grows on a 4 cm bean plant per week. One-fourth of a centimeter is added to a 5.5 cm bloom per week.
Let h be the height of the plant and t be the number of weeks. Then the equations will be
h = (1/2)t + 4
h = (1/4)t + 5.5
The solution to the equations will be
(1/2)t + 4 = (1/4)t + 5.5
(1/2 - 1/4)t = 5.5 - 4
t / 4 = 1.5
t = 6
Then the height of the plant will be
y = (1/2)6 + 4
y = 3 + 4
y = 7
The solution to the system will be 7 cm and 6 weeks.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ1
