The required length of the hose is 20 feet.
Given,
a = 16 feet
b = 12 feet
c = ? (the required length of hose)
we can use the formula
c = √(a²+b²)
⇒ c = √(16²+12²) feet
= 20 feet.
The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle. Some examples of rectangular shapes are the flat surfaces of laptop monitors, blackboards, painting canvas, etc. You can use the formula of the area of a rectangle to find the space occupied by these objects. For example, let us consider a rectangle of length 4 inches and width 3 inches.
The area occupied by a rectangle within its boundary is called the area of the rectangle.
Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width. The formula is: A = L * W where A is the area, L is the length, W is the width, and * means multiply.
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Help pretty please it’s algebra 2
[tex]m=6n^2+1\hspace{5em}L=\sqrt{m-7} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{L=\sqrt{(6n^2+1)-7}} \implies L=\sqrt{6n^2 -6} \\\\[-0.35em] ~\dotfill\\\\ \textit{when n = 2, what is "L"?}\qquad L=\sqrt{6(2)^2 -6} \\\\\\ L=\sqrt{6(4)-6}\implies \boxed{L=\sqrt{18}} \\\\[-0.35em] ~\dotfill\\\\ \textit{when L = 6, what is "n"?}\qquad 6=\sqrt{6n^2 -6}\implies 6^2=6n^2 -6 \\\\\\ 36=6n^2-6\implies 42=6n^2\implies \cfrac{42}{6}=n^2\implies 7=n^2\implies \boxed{\sqrt{7}=n}[/tex]
At the beginning of June Max and Shawn start saving money for the fair which occurs 10 weeks later Sean starts out with $20 just and saves just $2 per week Max starts out with no money but says $5 per week after how many weeks are Max have more money than Sean
At 7 weeks Max will have more saving than Sean.
How to find the number of week Max has more money?Max and Sean start saving money for a fair.
Sean starts out with just $20 and saves just $2 per week Max starts out with no money but says $5 per week .
Therefore,
Sean equation for amount gotten:
y = 20 + 2x
Max equation for amount gotten:
y = 5x
Where
x = number of weeks.
Therefore, the numbers of week max will save more than Sean is as follow:
y = 5x
y = 5(7) = $35
y = $35
y = 20 + 2x
y = 20 + 2(7)
y = 20 + 14
y = $34
Therefore, at 7 weeks Max will have more saving than Sean.
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What is the value of x that makes the given equation true?
4x-3-12x + 13
0x=-3
Ox=0
OX= 1
O x = 16
Answer:
Only the value of (x = 1) makes the above-mentioned equation (4x - 3) = (-12x + 13) true.
Step-by-step explanation:
In this question we are given an equation (4x - 3) = (-12x + 13), in which we need to put different values for x given below for which the equation will become true.
The given values of x to put in to the equation to make it true are;
x = 13,0,1,16
Now, let us put the value of (x = -3) in the above-mentioned equation;
=> 4x - 3 = -12x + 13
=> 4(-3) - 3 = -12(-3) + 13
=> -12 - 3 = 36 + 13
=> -15 = 49
Thus, the value of (x = -3) does not make the above-mentioned equation true.
Now, let us put the value of (x = 0) in the above-mentioned equation;
=> 4x - 3 = -12x + 13
=> 4(0) - 3 = -12(0) + 13
=> -3 = 13
Thus, the value of (x = 0) does not make the above-mentioned equation true.
Now, let us put the value of (x = 1) in the above-mentioned equation;
=> 4x - 3 = -12x + 13
=> 4(1) - 3 = -12(1) + 13
=> 1 = 1
Thus, the value of (x = 1) makes the above-mentioned equation true.
Now, let us put the value of (x = 16) in the above-mentioned equation;
=> 4x - 3 = -12x + 13
=> 4(16) - 3 = -12(16) + 13
=> 64 - 3 = -192 + 13
=> 61 = -179
Thus, the value of (x = 16) does not make the above-mentioned equation true.
Therefore, only the value of (x = 1) makes the above-mentioned equation (4x - 3) = (-12x + 13) true.
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find the negative integers. see picture above^^^
Answer:
i need help with this too let me know when you find out
Step-by-step explanation:
Step-by-step explanation:
all you have to do is remember that -28 is smaller than -26. this is the whole trap here, that you think that analog to the positive integers, where 26 is smaller than 28, that also -26 is the smaller number. but no.
smaller value : -28
larger value : -26
other than that they must be the same absolute value as the positive integers, because the square makes them equal. so, there cannot be any other values involved.
Which answer is a solution the equation: 2|x+5|=2 Responses x=6x is equal to 6 x=4x is equal to 4 x=1 and x=2x=1 and x=2 x=−6 and x=−4x=−6 and x=−4
Answer:
-6, -4
Step-by-step explanation:
[tex]2|x+5|=2 \\ \\ |x+5|=1 \\ \\ x+5=\pm 1 \\ \\ x=-5 \pm 1 \\ \\ x=-6, -4[/tex]
. A set of positive integers is
A set of positive integers is typically represented as Z+.
It implies all the integers are greater than 0.
When writing a set of positive integers it would look like {1, 2, 3, 4, 5, 6, 7, etc.}
Answer:
anything that is a whole number more than 0
Step-by-step explanation:
The sum of two consecutive integers is 87
Answer:
43 and 44
Step-by-step explanation:
x + (x + 1) = 87
2x + 1 = 87
-1 -1
2x = 86
÷2 ÷2
x = 43
43 + (43 + 1) = 87
43 + 44 = 87
87 = 87
I hope this helps!
The amount an individual is required to pay in taxes is known as _____.
Answer: The amount an individual is required to pay in taxes is known as alternative minimum tax (AMT).
Step-by-step explanation:
Define Tax :
An amount of money that a government requires people to pay according to their income, the value of their property, etc., and that is used to pay for the things done by the government.
Some important Direct taxes include:
Income tax.Wealth tax.Gift tax.Capital Gains tax.Securities Transaction tax.Corporate tax.So,
People who have benefited greatly from tax breaks due to their high economic income are subject to the alternative minimum tax.
This tax acts as a corrective measure to ensure that person pays the least amount of tax possible.
The excess of a purported minimal tax above a regular tax is known as an alternative minimum tax. The income of a person, deductions, and exemptions are taken into account while determining the alleged minimum tax, and then the alternative minimum tax rate is applied.
It is then compared to the standard tax after receiving the purported minimum tax. The person is subject to alternative minimum tax if it is higher than the ordinary tax.
The alternative minimum tax may apply to taxpayers who have a lot of itemized deductions and tax preference items (AMT).
Therefore,
The amount an individual is required to pay in taxes is known as alternative minimum tax (AMT).
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-7x-43-3=-45 solve for x
Answer:
x=-13
Step-by-step explanation:
-7x-46=45
+46. +46
-6×=91
÷ ÷
6. 6
x=-13
All of the following expressions have a value of 3 except _____. -3(4 - 5) |-2| + 1(3 - 2) -8 ÷ -4 + 1 6 - 5 · 3
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
The expression 6 - 5 x 3 does not have the value 3.
6 - 5 x 3 = - 9
What is an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
The math operation can be addition, subtraction, multiplication, or division.
We have,
-3( 4 - 5 )
= -3 x -1
[minus x minus = positive]
= 3
|-2| + 1 ( 3 - 2)
The modulus of any value is always positive.
= 2 + 1 x 1
= 2 + 1
= 3
-8 ÷ -4 + 1
Minus gets canceled after division.
= -8/-4 + 1
= 2 + 1
= 3
6 - 5. 3
= 6 - 15
= -9
Thus all the expressions have a value of 3 except the expression
6 - 5 x 3.
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i need help asap !!!
Answer:
so do i
Step-by-step explanation:
doesnt everybody
convert this rational number to its decimal form and round to the nearest thousandth 6/7 (its 8th grade math but I don't know how to change it)
The fraction 6/7 converted to decimal and rounded to thousands place is 0.8571.
What is a decimal?A decimal is a dot that separates the whole part and the fractional part of a given number.
To convert this proper fraction 6/7 into the decimal form we first have to divide 6 by 7 which is 0.8571428571.
Now, we have to round this number 0.8571428571 to thousands place so we will look at the digit ten thousand places which is 4 and less than 5 so we will make every digit after thousands place to zeroes which is 0.8571000000 and zeroes after decimal place is meaning less, therefore, this number will be 0.8571.
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Need the outputs to this formula
The complete table of values of the absolute value function is
x g(x)
-3 22
-2 13
0 5
1 14
3 32
How to determine the output of the formula and complete the table?The equation of the function is given as
g(x) = |9x + 5|
Next, we set the values of x in the table to the above equation
So, we have
g(-3) = |9(-3) + 5| = 22
g(-2) = |9(-2) + 5| = 13
g(0) = |9(0) + 5| = 5
g(1) = |9(1) + 5| = 14
g(3) = |9(3) + 5| = 32
So, the complete table of values of the absolute value function is
x g(x)
-3 22
-2 13
0 5
1 14
3 32
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CHAPTER 8 NEED HELP!!!!
Find the area of each. Use your calculator's value of [pi]. Round your answer to the nearest tenth.
Answer:
58.1
Step-by-step explanation:
8.6 is your diameter. You need to find the radius first which is always half of you diameter. Knowing that your radius is 4.3.
The formula you use for area is:
a = [tex]\pi[/tex]r²
a = [tex]\pi[/tex]4.3²
a = 58.08805
Rounded to the nearest tenth is:
58.1
Help Please!
-2/5x-1 1/4
Answer:
Option D) 1/2Step-by-step explanation:
Simplification in steps:
[tex]-\cfrac{2}{5}*-1\cfrac{1}{4} =[/tex] Two negatives cancel when multiplied[tex]\cfrac{2}{5}*\cfrac{5}{4} =[/tex] Two 5's cancel[tex]\cfrac{2}{4} =[/tex] Simplification by dividing both numbers by 2[tex]\cfrac{1}{2}[/tex] AnswerThe solution of the expression -2/5 x -1 1/4 is 1/2
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the solution of the expression?The expression is given as
-2/5 x -1 1/4
Express the fractions as improper fraction
So, we have
-2/5 x -1 1/4 = -2/5 x -5/4
Evaluate the product
So, we have
-2/5 x -1 1/4 = 10/20
Divide the fraction
So, we have
-2/5 x -1 1/4 = 1/2
Hence, the solution of the expression -2/5 x -1 1/4 is 1/2
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we get the same result if we multiply an number by 3 or if we multiply the numbers by 5 and then add 2
we get the same result if we multiply an number by 3 or if we multiply the numbers by 5 and then add 2.
That number is 0. When we multiply 0 by 3 or if we multiply it by 5 and then add 2, then we will get same results.
Given that
we get the same result if we multiply an number by 3 or if we multiply the numbers by 5 and then add 2To find
We have to find that number which is giving same results.?So, according to the question
we have,
We will get same results, after multiply an number by 3 or if we multiply the numbers by 5 and then add 2Let's assume that number is x,
So, from question we can say that
The result we will get after multiply x by 3 and then add 2= (3 × x) + 2
result = 3x + 2
and
The result we will get after multiply x by 5 and then add 2= (5 × x) + 2
result = 5x + 2
Now, from question we know that the results are same
So,
3x+ 2 = 5x+ 2
Now, simplify this
5x - 3x = 2 - 2
2x = 0
x = 0/2
x = 0
The number is 0.
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Jasmine is saving money to buy a pair of Airpod Pros. The Airpods have a total cost of $250 and she has already saved $70. If she is able to save $30 a week, how many weeks will it take until she is able to purchase the Airpod Pros?
guys im timed
Answer:
a. 250
b. 70
c. 3
Step-by-step explanation:
w = weeks
70 + 3w = 250
3w = 250 - 70
w = (250 - 70) / 3
Step-by-step explanation:
got u bro
airpods=250
her saving=70
30 per week=30x6=180
180+70=250
so she have 6 weeks till she buys the airpods pro
Select the correct answer.
What is the value of this expression when a = 2 and b = -3?
a³ - 6³
5
0-3 1/
03
07
we get the value of expression | a³ - b³ | as 35 when a = 2 and b = -3.
We are given an expression:
a³ - b³
The absolute value of the expression will be:
| a³ - b³ |
Now, we have a = 2 and b = - 3
So, substituting the values in the expression, we get that:
| a³ - b³ |
| ( 2 ) ³ - ( - 3 )³ |
| 8 - ( - 27 ) |
| 8 + 27 |
= | 35 |
= 35
Therefore, we get the value of expression | a³ - b³ | as 35 when a = 2 and b = -3.
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The product of apositive number
and itself is 3 1/6what is the
number
"
number?
The product of positive number with itself found as 361/36.
What is termed as the square number?The result of multiplying an integer by itself is recognized as its square number.Square numbers always have the digits 0, 1, 4, 5, 6, and 9 at the end. For instance, 25, 49, 81, 100, and so on are perfect square numbers, whereas 37, 48, 22, and so on are not.A square number always has an even number of zeros at the end. This means that if a number ends with an odd number of zeros, it is not a square number.For the stated question;
The given number is 3 1/6, which is in mixed fraction.
Write the number in proper fraction.
3 1/6 = 19/6
Squaring the number means, multiplying the number with itself.
(19/6)² = (19/6) × (19/6)
(19/6)² = 361/36
Thus, the product of positive number itself found as 361/36.
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What are the values of A, B & C?
The value of the AB is 47 and the C is 5.
According to the statement
We have to find that the value of the A,B,C.
So, For this purpose, we know that the
Algebraic expression is an expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.
From the given information:
The equations are:
AB+C = 52
And
AB+10C = 97
And now compare it then
AB+C = 52
AB+10C = 97
After that it become
-9C = -45
C = 5
Then
The equation become :
AB+C = 52
AB+5 = 52
AB = 47
The value of the AB is 47.
So, The value of the AB is 47 and the C is 5.
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Please help will give points
Answer:
Step-by-step explanation:
its dees nuts with the D
simplify: 18 + 7 / 10 -16 +26 /6
A. -25 /6
B. -5 / 6
C. 5 / 6
D. 25 / 6
The simplified form is 18 + 7 / 10 -16 +26 /6 is mathematically given as
-9/2
This is further explained below.
What is the simplified form is 18 + 7 / 10 -16 +26 /6 ?Generally, the equation for the expression is mathematically given as
[tex]\frac{ 18 + 7}{ 10} -\frac{16 +26}{6}[/tex]
Therefore
Add 18 and 7.
[tex]\frac{25}{10}-\frac{16+26}{6}[/tex]
[tex]$\frac{5}{2}-7$[/tex]
To write -7 as a fraction with a common denominator, multiply by 2/2.
[tex]\frac{5}{2}-7 \cdot \frac{2}{2}[/tex]
Combine -7 and 2/2
[tex]\frac{5}{2}+\frac{-7 \cdot 2}{2}[/tex]
Combine the numerators over the common denominator.
[tex]\frac{5-7 \cdot 2}{2}[/tex]
Simplify the numerator.
-9/2
Move the negative in front of the fraction.
Decimal Form:
-4.5
In conclusion, The simplified for is 18 + 7 / 10 -16 +26 /6
-9/2
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The sum of an integer and seven more than four times the next consecutive integer is 66. Find the integer.
The Integer which is as described in the task content such that the sum of the integer and seven more than four times the next consecutive integer is 66 is; 11.
What is the integer as described in the task content?According to the task content, it follows that the sum of the Integer in discuss and seven more than four times the next consecutive integer is 66.
The word phrase which is as described above is;
x + 4(x+1) + 7 = 66
x + 4x + 4 + 7 = 66
5x + 11 = 66
5x = 66- 11
5x = 55
x = 11.
Ultimately, the Integer which is as described in the task content such that the sum of the integer and seven more than four times the next consecutive integer is 66 is; 11.
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what is 1-2-3-4-5-6??!?? WILL GIVE BRAINLIst if correct
Divide the numerator and denominator of 63 39 | by 3 . Equivalent Fraction
Step-by-step explanation:
did I understand this correctly ?
the fraction is 63/39 ?
and you need help to divide both numbers by 3 ? really ?
63/3 = 21
39/3 = 13
so the equivalent fraction is
21/13
Add 6 1/3 + 4 3/4 + 3 7/12
Step-by-step explanation:
6⅓ + 4¾ + 3 7/12
Convert to improper fraction
6⅓ = 19/34¾ = 19/4 3 7/12 = 43/12= 19/3 + 19/4 + 43/12
LCM= 12
= 76 + 57 + 43
12
= 176/12
= 44/3
Answer
44/3 as improper fraction14⅔ as mixed fraction14.66 as decimalOn a piece of paper graph y=(s+2)(s-3) then determine which answer choice matches the graph
The graph of the equation y = (s + 2)(s - 3) is plotted and it cuts the x - axis at the points -2 and 3.
What is Parabola?
Parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line.
Given is a function as -
y = (s + 2)(s - 3)
We have -
(s + 2)(s - 3)
s(s - 3) + 2(s - 3)
s² - 3s + 2s - 6
s² - s - 6
Replace 's' with 'x'. Now, you will get a quadratic equation as follows -
x² - x - 6
The graph of a quadratic equation represents a parabola. The parabola will cut the x - axis at the points -
(x - 2)(x - 3) = 0
x = -2 and x = 3
Therefore, the graph of the equation y = (s + 2)(s - 3) is plotted and it cuts the x - axis at the points -2 and 3.
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An elephant can drink up to 6,400 fluid
ounces of water a day. How many gallons of
water can an elephant drink per day?
A company started the year with no supplies. During the year they bought $200 worth of supplies on account and later paid $150 of this debt .If there were $40 worth of supplies left at the end of the year what is the supply expense for the period?
The amount of supply (in inventory) expense of the company during the year is $160
How can the supply expense be calculated?The amount of supplies at the start of the year = No supplies
Amount of supplies bought during the year = $200
The amount paid for the supply = $150
Amount of supplies left at the end of the year = $40
Required: The supply expense for the period
Solution:
Supply expense = Amount bought on credit - Amount remaining
Therefore;
Supply expense = $200 - $40 = $160
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Solve. 3|x+2| - 7=14
Answer:
X= 5, -9
Step-by-step explanation:
1. Move all terms not containing |x+2| to the right side of the equation.
3|x+2|=21
2. Divide each term in 3|x+2|=21 by 3 and simplify
|x+2|=7
3. Remove the absolute value term. This creates a ± on the right side of the equation because |x| = ±x
x+2= ±7
4. The complete solution is the result of both the positive and negative portions of the solution
x= 5, -9
-Rocketgamer360