well, the carpet and table set are both 173.95 + 88.08 = 262.03, however Judy is so smashing she got an 18% discount on that, ,so
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{18\% of 262.03}}{\left( \cfrac{18}{100} \right)262.03} ~~ \approx ~~ 47.17~\hfill \underset{discounted~price}{\stackrel{262.03~~ - ~~47.17}{\approx 214.86}}[/tex]
now, let's add the 8% tax to that
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 214.86}}{\left( \cfrac{8}{100} \right)214.86} ~~ \approx ~~ 17.19~\hfill \underset{\textit{ total price}}{\stackrel{214.86~~ + ~~17.19}{\approx \text{\LARGE 232.05}}}[/tex]
What is the simplified value of the exponential expression 164?
16 17 ?
H|N
4
02
04
The simplified value of the exponential expression [tex]16^4 ~and ~16^{17}[/tex]is:
65,536 and 36,893,488,147,419,103,232.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To simplify the exponential expressions, we can use the rule that states:
[tex]a^m \times a^n = a^{m+n}[/tex]
[tex]16^4[/tex]can be simplified as follows:
[tex]16^4[/tex] = 16 x 16 x 16 x 16
[tex]= (2^4) \times (2^4) \times (2^4) \times (2^4)[/tex]
(since 16 = 2^4)
[tex]= 2^{4+4+4+4}\\= 2^{16}\\= 65,536[/tex]
Therefore, [tex]16^4[/tex] simplifies to 65,536.
[tex]16^{17}[/tex] can be simplified as follows:
[tex]= 16^{17} = 16^{16} \times 16^1\\= (2^4)^{16 \times 2^1 }\\= 2^{4\times 16 \times 2^1}\\= 2^{64} \times 2^1\\= 2^{65}[/tex]
Therefore, [tex]16^{17}[/tex] simplifies to 36,893,488,147,419,103,232.
Thus,
The simplified value of the exponential expression [tex]16^4 ~and ~16^{17}[/tex]is:
65,536 and 36,893,488,147,419,103,232.
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8+40 divided 8(4x9)
Helpppppooop
Answer:
188
Step-by-step explanation:
A cabin was built in the shape of a rectangle. It is 15 meters (m) long and 10 m wide. How far is it all the way around the outside of the cabin?
Which of these shows a way to solve the problem?
The way around the outside of the cabin is 50 meters
How far is it all the way around the outside of the cabin?The given parameters are:
Length = 15 meters
Width = 10 meters
The way around the outside of the cabin is the perimeter and it is calculated as
Perimeter = 2 * (Length + Width)
So, we have
Perimeter = 2 * (15 + 10)
Evaluate
Perimeter = 50 meters
Hence, the way around the outside of the cabin is 50 meters
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Solve the equation.
5.5-x=-4.5-x
Solution:
Answer:
The answer is zero.
Step-by-step explanation:
5.5=-4.5
The statement is false.
3 -5W + 12 + 2W -3 simplify the expression and combine like terms
Answer:
9w
Step-by-step explanation:
First: combine like terms
3 - 5w + 12 + 2w - 3
(-5w) + 2w = (-3w)
Second: subtract 3 from 12 (12 - 3)
3 - 3w + 12 - 3
Third: subtract 3w from 3 (3 - 3w)
3 - 3w + 9
Forth: add 9 to w (w + 9)
w + 9
Answer:
9w
The marching band needs to create rows for its performance. There are 30 instruments and 18 flag bearers. Only one type of performer can be in each row. What is the maximum number of performers in each row so that all the rows are equal in length?
The maximum number of performers in each row so that all the rows are equal in length is 6.
The greatest common divisor (HCF) of two numbers is the largest number that divides both numbers perfectly. Highest Common Divisor (HCF) is also known as Greatest Common Divisor (GCD).Simply put, the HCF (Highest Common Factor) of two natural numbers x and y is the largest number that divides both x and y.It is given that there are 30 instruments and 18 flag bearers.
Prime factorization of 30 is given by
[tex]30=2\times3\times5[/tex]
Prime factorization of 18 is given by
[tex]18=2\times3\times\ 3[/tex]
The prime factorization of 30 and 18 have 2 and 3 as common prime number so HCF will be [tex]2\times3=6[/tex]
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the tuition at a certain college was $ 23, 472 last year and increased 5.5 % from last year to the current year . How much this is year 's tuition is $
Answer:
$24,862.96
Step-by-step explanation:
100% = $23,472
105.5% = answer?
To convert a percentage to a decimal, you have to divide by 100:
100% = 1.0
5.5% = 0.055
105.5% = 1.055
1.055 × $23,472 = $24,862.96
4.) Answer the following problems based on the triangle below:
Find X
Find the measure of angle b
Find the measure of angle c
The value of the angles in the triangle is as follows:
x = 3∠B = 70°∠C = 50°How to angle in a triangle?The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Therefore,
120 = ∠B + ∠C
∠B = 22x + 4
∠C = 15x + 5
120 = 22x + 4 + 15x + 5
120 = 22x + 15x + 4 + 5
120 - 9 = 37x
111 = 37x
divide both sides by 37
111 / 37 = x
x = 3
∠B = 22(3) + 4 = 66 + 4 = 70°
∠C = 15(3) + 5 = 45 + 5 = 50°
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Answer:
x = 3
b = 70
c = 50
Step-by-step explanation:
Find X:
= 3
(22x + 4) + (15x + 5) = 120
22x + 15x = 37
4 + 5 = 9
+9 -9= 0
120 - 9 = 111
111 / 37x = x = 3
Find the measure of angle B:
70
22x + 4
22(3) + 4
22 multiplied by 3 = 66
66 + 4 = 70
Find the measure of angle C:
50
15x + 5
15 (3) + 5
15 times 3 = 45
45 + 5 = 50
Whole worksheet is in the PDF :)
Obtain the truth value of
If 5+6=11,then11-6=5
The truth value of 5+6 = 11, then 11-6=5 is "T"
A truth table is a powerful concept that creates a truth table of its component statements. Unary logical operations, on the other hand, are operations involving only one logical variable. A logical implication normally produces a value of false if the first input is true and the second input is either false or true separately. It is associated with the conditional "if P then Q" [conditional statement] and is denoted as P → Q or P ⇒ Q. The entailment truth table is given belowThe first statement is 5 + 6 = 11 which is true .
Second statement is 11 - 6 = 5 which is also true .
From the table if both the statements are true then the truth value is "T" .
Hence, truth value of the given statement is T.
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La o scoala s au adus 26 de colete a cate 9abecedare si 271 de colete a cate 7carti de matematica .Cate manuale s au primit in total?
Answer:
2131
Step-by-step explanation:
26×9=234
271×7=1897
234+1897=2131
Question 7 of 8
Indicate below whether the equation in the box is true or false.
6 = 1200
10
OA. True
OB. False
Which graph represents this equation
y=&=x+5)
Consider the equation,
y = x + 5
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.
In equation y = x + 5, the graph y = x is shifted 5 units towards the negative x-axis.
To graph the equation we determine various points on the line.
When x = 0,
y = x + 5
y = 5
When y = 0,
y = x + 5
0 = x + 5
x = - 5
When x = - 1,
y = x + 5
y = - 1 + 5
y = 4
When x = - 2,
y = x + 5
y = - 2 + 5
y = 3
When x = - 3,
y = x + 5
y = - 3 + 5
y = 2
Therefore, the points on the line y = x + 5 are ( 0, 5), (- 5, 0), ( - 3, 2), ( -1, 4) and ( - 2, 3).
The temperature of a cup of coffee changed by $54°F ovel 22 1/2 minutes. What was the change in temperature each minute?
Stan and Hilda can mow the lawn in 25 min if they work together. If Hilda works twice as fast as Stan, how long would it take Stan to mow the lawn alone?
Help meeeeeeeeeeeeeee pleaseeeeeee!
Answer:
A. d ≥ -2 3/10
Step-by-step explanation:
-5d + 5 1/2 ≤ 17
-5d + 11/2 ≤ 17
-5d ≤ 17 - 11/2
2(-5d) ≤ 2 × 17 - 2 × 11/2
2(-5d) ≤ 2 × 17 - 11
-10d ≤ 2 × 17 × 11
-10d ≤ 34 - 11
-10d ≤ 23
d ≥ -2 3/10
So A is the answer
Find the nonpermissible replacement for x in this expression b^2/5b-5
The non-permissible replacement for x in this expression is 1.
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.
Given:
The given expression is
[tex]x=\frac{b^{2} }{5b-5}[/tex]
Non-Permissible Values: values of a variable that make the denominator of a rational expression equal 0.
If the denominator contains a binomial, the non-permissible values can be determined from the factored form of the binomial.
A rational expression is a fraction, where p and q are polynomials, q ≠ 0. A non-permissible value is a value of the variable that causes an expression to be undefined. For a rational expression, this occurs when the denominator is zero.
Inadmissible Values: values of a variable that do NOT make sense in the context of a given problem.
According to given question we have
The expression is
[tex]x=\frac{b^{2} }{5b-5}[/tex]
By definition, the non-permissible replacement for x in this expression, is the value of x that makes the denominator equal to zero.
5b-5=0
5b=5
Divide both sides by 5 we get,
b=1
Therefore, the non-permissible replacement for x in this expression is 1.
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1. Solve the following inequalities and describe the similarity and differences be-
tween the solution set:
a) 1 + x < 2
b) 1 − x < 2
c) −1 − x < −2
d) −1 − x < 2
What is the answer pls?
Step-by-step explanation:
X+10+4X-12=83
5X-2=83
+2. +2.
5X=85
÷. ÷
5. 5
X=17
Now you plug it in:
(17)+10= 27=ABC°
ABD°=83
4(17)-12= 56 = DBC°
ABD would be the total of ABC and DBC since it's basically those 2 combined.
35 POINTS+BRAINLIEST FOR FIRST RESPONSE
If f(x) = 2x + 4, find each value (ignore the g)
68. f(-3) 70. f(0) 72. f(m + 2)
74 doesnt need an answer but an explanation would be nice
what is one-fifth as a percentage?
Answer: 20%
Step-by-step explanation:
1=100%
1/5=
100%/5=20%
Answer: 20 percent
Step-by-step explanation: how you college level and not know this one
Evaluate (f/g)(x) if f(x) = 2x^2 and g(x) = 3x – 2 when x = 2.
The value of the function (f/g)(x) when x=2 is 2
Function:
The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.
⇒(f/g)(x)=[tex]\frac{f(x)}{g(x)}[/tex]
⇒(f/g)(2)=[tex]\frac{f(2)}{g(2)}[/tex]
Given f(x)=2[tex]x^{2}[/tex] and g(x)=3x-2
⇒(f/g)(2)=[tex]\frac{f(2)}{g(2)}[/tex]
⇒(f/g)(2)=[tex]\frac{2(2)^{2} }{3(2)-2}[/tex]
⇒(f/g)(2)=[tex]\frac{8}{4}[/tex]
⇒(f/g)(2)=2.
Therefore,The value of the function (f/g)(x) when x=2 is 2
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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 8 to 5. If there were 6336 yes votes, what was the total
number of votes?
10296 was the total number of votes in linear equation .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y).The ratio of yes votes to no votes = 8 : 5
the ratio is 8 to 5, the first step is to divide 6336 by 8. That results in 792.
Ratio of yes to no votes = 8 : 5
total yes votes = 6336 yes
no of yes votes = 6336 / 8 = 792
no of no votes = 792 * 5 = 3960
Since the question is asking the total number of votes, we add the two results ( 3960+6336) which totals 10296.
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Fred invests $13,915 into an account that yields 6.14% interest annually. How much interest will Fred have earned after 18 years? Round answers to the nearest cent (2 decimal places).
Answer:
After 18 years, Fred would have earned $40,675.05
Step-by-step explanation:
Since we know that Fred has $13,915 and the interest annually (every year) is 6.14%, we can just solve for 18 years.
In the case, the equation would be the following:
13.915 x (1 + 0.0614) ^ 18
This equation would get you $40,675.05
Hope this helped! :D
Is 1 an unequal number?
The number 1 is an unequal number because no whole number can make 1 for example, 2 + 2 does not make 1 but 4. In addition, only decimals can make 1 such as 0.5 + 0.5 = 1. So the number 1 is unequal to whole numbers but not decimals.
Answer:
Yes. The following number are uneven 1,3,5,7,9,ect..
And the following are even numbers 2,4,6,8,10,ect....
Step-by-step explanation:
Hope it helps!! =D
Finn has a stick 27 centimeters long. This is 9 times the length of Ellen's stick. Ellen stick is n inches long. How would you find the answer?
Answer: ellens stick is 3 inches long you can find this out because you can multiply 3 times nine and it will give you 27 and then boom you have your answer
Step-by-step explanation:
Answer:
The answer is 3cm
Step-by-step explanation:
Length of Finn's stick=27cm
Length of Ellen's stick=n
Acc to given statement:
27=9n
n=27/9
n=3cm
So Ellen's stick is 3cm long
Using the variable x, write the interval [2,6] using set-builder notation.
Writing the interval [2,6] using set-builder notation, is:
{ x | x ∈ R, 2 ≤ x ≤ 6 }
How to write an interval in set builder notation?Real numbers (R) include all rational and irrational numbers.
Thus If we need to write the interval [2,6] using set-builder notation, we will write as:
{ x | x ∈ R, 2 ≤ x ≤ 6 }
This is interpreted as x belongs to a set of real numbers greater than or equal to 2 but less than or equal to 6
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9x - 13 =32 what is x
Answer:
Hi!
[tex]x=5[/tex]
Step-by-step explanation:
[tex]9x-13+13=32+13\\9x=45\\\frac{9x}{9}=\frac{45}{9}\\=5[/tex]
Answer:
the answer is 5
Step-by-step explanation:
9 x 5 -13= 32
A piñata spilled open and released 50 pounds of candy. If every child there scooped up 5/7 of a pound of candy, how many children were there?
There were 70 children in total.
A fraction represents a part of the whole. It comprises of a numerator and a denominator. For example- 3/4 is a fraction. 3/4th of a number means if the number is divided into 4 equal parts, then 3 parts out of these 4 ⇒ 3/4th of the number.
Here, we are given that a piñata spilled open and released 50 pounds of candy.
Each child scooped up 5/7 of a pound of candy.
Let the total number of children be X
Therefore, we will get the following equation-
(5/7) X = 50
X = 50 (7/5)
X = 10 × 7
X = 70
Thus, there were 70 children in all.
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what is the answer to -1/2+1/3a=1/8
Answer:
a = 15/8
Step-by-step explanation:
You want the solution to the two-step linear equation ...
-1/2 +1/3a = 1/8
SolutionWhen an equation involves fractions, it is often useful to clear fractions by multiplying the equation by their least common denominator. Here, that means we want to multiply the equation by 24.
-12 +8a = 3 . . . . . . multiply the given equation by 24
8a = 15 . . . . . . . . add 12
a = 15/8 . . . . . . divide by the coefficient of the variable
The solution is a=15/8 or 1 7/8.
What does a Midpoint of a line seament create? Choose all that apply (there are 2 answers.)