Answer: 74.539
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.
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.
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A local mountain biking club charges
$45 to join and $5 for each bike trip a
member goes on. Write an algebraic
expression to represent the total some-
one pays, where b represents the num-
ber of trips a person travels.
Answer:
x=45+5b
Step-by-step explanation:
x is the total
Math question please answer
Answer:
Option 3
Step-by-step explanation:
See attached image.
34.624 times what equals 34,624
Answer:
1000
Step-by-step explanation:
The equation is,
→ 34.624 × x = 34624
Solving for the value of x,
→ 34.624 × x = 34624
→ x = 34624/34.624
→ [ x = 1000 ]
Thus, value of x is 1000.
In 2-15, estimate each product.
77 x 412
Answer:
Hope this helps :)
412 × 77 = 31,724
Which is estimated about 30,000 something.
Write the function, y=|x|
after the following transformations:
1) Reflect the function about the y-axis.
2) Compress the function vertically by a factor of 1/4.
3) Shift the function left 84 units.
The function, after the transformations is y'' = 1/4(x +84)
How to determine the function, after the transformations?The function equation is given as:
y = |x|
1) Reflect the function about the y-axis.
This is represented as
(x, y) = (-x, y)
So, we have:
y' = |-x|
This gives
y' = |x|
2) Compress the function vertically by a factor of 1/4.This is represented as
(x, y) = (x, 1/4y)
So, we have:
y'' = 1/4y'
This gives
y'' = 1/4|x|
3) Shift the function left 84 units.This is represented as
(x, y) = (x + 84, y)
So, we have:
y'' = 1/4(x +84)
Hence, the function, after the transformations is y'' = 1/4(x +84)
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Out of N$ 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
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simplify
please solve this...
Answer:
y-1/y^2 +4y
Step-by-step explanation:
2y - 1/y x (y + 4) - y-2/y^2 +4y - 2y -8
2y-1/y x (y+4 - y-2/y x (y +4 ) - 2(y + 4)
2y -1 / y x (y+4) - y-2/(y+4) x (y-2)
2y-1/y x (y+4) - 1/y +4
2y -1 -y/y x (y + 4)
y-1/y^2 +4y
Answer:
[tex]\dfrac{y-1}{y(y+4)}[/tex]
Step-by-step explanation:
Given expression:
[tex]\implies \dfrac{2y-1}{y^2+4y}-\dfrac{y-2}{y^2+2y-8}[/tex]
Factor the denominators of both fractions:
[tex]\implies \dfrac{2y-1}{y(y+4)}-\dfrac{y-2}{y^2+4y-2y-8}[/tex]
[tex]\implies \dfrac{2y-1}{y(y+4)}-\dfrac{y-2}{y(y+4)-2(y+4)}[/tex]
[tex]\implies \dfrac{2y-1}{y(y+4)}-\dfrac{y-2}{(y-2)(y+4)}[/tex]
Cancel the common factor (y - 2) of the right fraction:
[tex]\implies \dfrac{2y-1}{y(y+4)}-\dfrac{1}{(y+4)}[/tex]
Adjust the fractions based on the LCM of y(y + 4):
[tex]\implies \dfrac{2y-1}{y(y+4)}-\dfrac{y}{y(y+4)}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}:[/tex]
[tex]\implies \dfrac{2y-1-y}{y(y+4)}[/tex]
Simplify:
[tex]\implies \dfrac{y-1}{y(y+4)}[/tex]
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.
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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
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.
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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:
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)
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.
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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.
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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 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.
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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:
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.
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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
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
What is the ratio for dogs is 5 to 3. There are 25 dogs how many cats are there
Answer:
25:15
Hope this helps :)
Step-by-step explanation:
5:3 so since there is 25 dogs we had to multiply 5 to the 5 in 5:3. We will have to multiply 5 to the 3 in 5:3 to get number of cats.
5:3 = 25:15
Answer:
[tex] = 15[/tex]
Step-by-step explanation:
Taking that the ratio of dogs to cats is 5:3, then:
dogs =5cats = 3The number of dogs = 25, so:
[tex]5 = 25 \\ 3 = x \\ x= 25 \times 3 \div 5 \\ x = 15[/tex]
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.
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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.
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]
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
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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).
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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
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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
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)
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