The final price Cheryl will pay for the shirt, using the mathematical expression that includes the sales tax, is $34.56.
What is a mathematical expression?A mathematical expression is a mathematical statement with two different numbers (known or unknown) and at least one mathematical operation.
The basic mathematical operations include addition, subtraction, division, and multiplication.
For, instance, the total cost of a T-shirt after factoring in the sales tax of 8% can be represented with this mathematical expression, T= 1.08p.
Data and Calculations:Cost of a shirt, p = $32
Sales tax = 8%
The mathematical expression of the total cost = 1.08p
The total cost = $34.56 ($32 x 1.08)
Thus, the final price Cheryl will pay for the shirt is $34.56.
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A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3227 tickets overall. It has sold 158 more $20 tickets than $10 tickets. The total sales are $62,410. How many
tickets of each kind have been sold?
ILL GIVE BRAINLIEST
Answer:
[tex] \sqrt[16]{5 |2| } sdh[/tex]
usmsks
The difference of two number is 16, what might the number be?
The two numbers which satisfy the condition that the difference between them be; 16 as required in the task content are; 17 and 1.
What two numbers have the difference between them equal to 16 as required in the task content?It follows from the task content that the two numbers whose difference amount to 16 are to be determined as required in the task content.
Given the numbers in discuss as; x and y such that;
x - y = 16
To find:
The numbers x and y.
Therefore, the possible numbers are such that; x = 17 and y = 1.
Ultimately, the two possible combination of number such that their difference is 16 are; 17 and 1.
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A safe-breaker is attempting to crack a safe with a 7-combination code. So far they have worked out that:
The first digit is double the third digit
The code is a palindrome (it reads the same if it is reversed)
The fourth number is 7
The third number is one less than the sixth number
The second number is 3 less than the fourth number
Can you advise the safe-breaker on the correct combination?
The correct safe-breaker code is given by 6437346.
It is given that the number is palindrome. Palindrome is a combination of letters or symbols which when written in reverse order gives the same combination of letters or symbols when written in normal order. Let the seven-digit code be given by abcdefg. As it is palindrome therefore, a=g, b=f, c=e, and d=d. Also, first digit is double than third digit that is a=2c.
According to question d=7, c=f-1 and,
b=7-3 = 4.
Since the number is palindrome so b=f. Therefore f=4.
Now, c=f-1 => c = 4-1 = 3, and c = e = 3.
Also, a=2c => a=6.
Thus, the numbers are a=6, b=4, c=3, d=7, e=3, f=4, g=6 and the combination is 6437346.
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The correct combination of the safe is 241742
We can solve the problem following a few steps. Let's assume the third number is x
So, the first digit is 2x according to the question.
Thus the fourth number is 7,
we can write the second number as ( 7 - 3 ) = 4 as per the question. The third number is one less than the sixth number therefore, the sixth number is ( x + 3 ) The third number is equal to the fifth number, as it is a palindrome. Also, the seventh number is equal to the first number, as it is a palindrome Also, the second number is also equal to the sixth number due to the palindrome structure.Now we can conclude that , 4 = x + 3 ( second number = sixth number , as mentioned earlier )
4 = x + 3
or , x = 4 - 3
or , x = 1
After solving this equation we can use the value of x as 1
∵ Hence the numbers are,
The third number and the fifth number is 4 ( x + 3 = 1 + 3 = 4 ) as value of x is equal to 1 The first number and the seventh number are 2x or 2 as the value of x is equal to 1 Now in conclusion all the numbers are 2 ( the first and the seventh number ), 1 ( the third and the fifth number ), 4 ( the second and the sixth number ), and 7 ( the fourth number ) Now, the seven-digit combination code is, 2417142To know more about equations visit ,
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Drag the tiles to the correct boxes to complete the pairs.
Match each list of numbers with the rule that describes its pattern.
Tiles
multiply by -1
add 2
add -20
multiply by 5
Pairs
5, 7, 9, 11, . . .
arrowBoth
100, 80, 60, 40, . . .
arrowBoth
10, 50, 250, 1,250, . . .
arrowBoth
2, -2, 2, -2, . . .
arrowBoth
Simplify. Express using positive exponents.
K^-4/k^-6
Answer:
[tex]K^{2}[/tex]
Step-by-step explanation:
[tex]\frac{K^{-4} }{K^{-6} } \\= \frac{K^{6} }{K^{4} } \\= K^{6-4} \\= K^{2}[/tex]
a rectangular field 50m wide and ym long requires 260m fencing. find y
The value of y such that the amount of fencing needed is 260 meters is 80 meters
What are perimeters?The perimeter of a rectangular field is the sum of the side lengths of the field
For all regular quadrilaterals, you add up the side lengths to determine the perimeter
How to determine the length y?The given parameters are
Width = 50 m
Amount of fencing = 260 m
Length = y
The amount of fencing is the perimeter of the fence
And perimeter is calculated as
P = 2 * (Length + Width)
So, we have
2 * (y + 50) = 260
Divide both sides by 2
So, we have
y + 50 = 130
Subtract 50 from both sides
So, we have
y = 80
Hence, the value of y such that the amount of fencing needed is 260 meters is 80 meters
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Helen graphs f(x)=4x+2 and its inverse function on the same coordinate plane. She notices that the functions are symmetric about a line.
What is the equation of this line?
The equation of the obtained inverse function is y=x/4 - 1/2.
The given function is f(x)=4x+2.
What is the inverse function?The inverse function is represented [tex]f^{-1}[/tex] with regard to the original function [tex]f[/tex] and the domain of the original function becomes the range of the inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.
The inverse function f(x)=4x+2 can be solved as follows:
Now, f(x)=4x+2
⇒y=4x+2
⇒x=4y+2
⇒x-2=4y
⇒y=(x-2)/4
The graph of the function and inverse function is plotted as given below.
From the graph, the coordinates are (0, -0.5) and (2, 0).
Slope = m = (y2-y1)/(x2-x1)
=(0+0.5)/(2-0)
=0.5/2
=1/4
Put, m=1/4 and (2, 0) in y=mx+b
We get, 0=1/4 (2)+b
b=-1/2
Then, the equation is y=x/4 - 1/2
Therefore, the equation of the obtained inverse function is y=x/4 - 1/2.
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1.76 x 105
5.8 x 10³
It's a little hard to determine what the picture says considering it is slightly blurred, however if you are trying to subtract the following, then after simplifying the expression, the solution written in Scientific Notation would be:
[tex]1.702[/tex] × [tex]10^5[/tex]
Hope this helps!
Multiply the polynomials (4a3-5a-3) and (2a2-7a+3). Simplify the answer.
Answer:
(4a3-5a-3)(2a2-7a+3)
Step-by-step explanation:
use 4a3 to multiply everything in the both brackets=
8a⁵-28a⁴+12a³. then use -5a to multiply everthing in the both brackets =
8a⁵-28a⁴+12a³-10a³+35a²-15a. then use -3a to multiply everthing in the both brackets =
8a⁵-28a⁴+12a³-10a²+35a²-15a-6a²-21a-9.then you furthermore solve=
8a⁵-28a⁴+2a³+29a²-36a-9
Find the set A n B, all the information is on the picture!:)
Answer:
Step-by-step explanation:
I would have to go with b
HELPPP PLSSSS
Is the following shape right triangle? How do you know?
O A. There is not enough information to determine.
• B. No, there is no right angle.
• C. Yes, two sides are perpendicular, and the side lengths fit the
Pythagorean theorem.
• D No, the side lengths do not fit the Pythagorean theorem.
SUBMIT
What are the answers please I need them by tonight!!!
30 POINTS!!!
The answers are :
1. a) 10^-5 relates to the hundred-thousandths place. The number 3 will be in the hundred thousandths place followed by 0 which is in ten thousands place. The places before 3 will each hold digit 0.
b) The standard form will be 0.000032.
2. The standard form will be 0.000007
3. The standard form will be 0.0000875
What is the standard form ?
Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.
It is given that the number is 3.2 × 10^-5.
Let's simplify it. So , we get ;
= [tex]\frac{3.2}{10^5}[/tex]
= [tex]\frac{3.2}{100000}[/tex]
= 0.000032
1.
a)
10^-5 in standard form will be :
= 0.00001
So , we can conclude that 10^-5 relates to the hundred-thousandths place.
When we write 3.2 × 10^-5 in the standard form it will be equal to 0.000032.
The number 3 will be in the hundred thousandths place followed by 0 which is in ten thousandths place.
The places before 3 will each hold digit 0.
b)
The standard form of 3.2 × 10^-5 will be 0.000032.
2.
Diameter of an atom in gold is about 7 × 10 ^-6.
Let's express this to standard form.
So ,
7 × 10 ^-6
= [tex]\frac{7}{10^6}[/tex]
= [tex]\frac{7}{1000000}[/tex]
= 0.000007
3.
Average mass of one flea which is 8.75 × 10^-5. Let's represent this in standard form :
8.75 × 10^-5
= [tex]\frac{8.75}{100000}[/tex]
= 0.0000875
Therefore , the answers are :
1.
a) 10^-5 relates to the hundred-thousands place. The number 3 will be in the hundred thousands place followed by 0 which is in ten thousands place. The places before 3 will each hold digit 0.
b) The standard form will be 0.000032.
2. The standard form will be 0.000007
3. The standard form will be 0.0000875
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What decimal represents the portion of people who own dog
The decimal that represents the portion of people who own dog will be 0.32.
How to illustrate the information?It should be noted that decimal numbers are the numbers that are used for denoting numbers that have while numbers and fractions.
In this case, it was stated that Isaac read that 32% of people owned dogs.
Therefore, the decimal that represents the portion of people who own dog will be:
= 32 / 100
= 0.32.
The decimal that represents the portion of people who own dog will be 0.32.
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Isaac read that 32% of people owned dogs. What decimal represents the portion of people who own dog?
Please help
please hurry
The numbers in this problem are classified as follows:
A. Rational.
B. Rational.
C. Irrational.
What are rational and irrational numbers?Rational numbers are numbers that can be represented by fractions, such as integer, terminating decimals and repeating decimals.Irrational numbers are numbers that cannot be represented by fractions, such as non-exact square roots and non-terminating and non-repeating decimal.
Hence:
Item a is rational, as the number is 0.244444, which is a repeating decimal.Item b is rational, as the number is a fraction.Item c is irrational, as the number is a non-exact square root.More can be learned about rational and irrational numbers at brainly.com/question/5186493
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Students put 2 1/4 pounds of trail mix into bags that each weigh 3/8 pounds. They bring 2/3 of the bags of trail mix on a hiking trip. Can you determine how many bags of trail mix are left by just completing one step?
There are 4 bags left after completing one step
The number of bags left after completing one step can be calculated as follows
The amount of trail mix into the bags is 2 1/4
= 9/4
The total amount of trail mix in the bag is 2/3
The first step is to calculate the number of bags
= 9/4 ÷ 3/8
= 9/4 × 8/3
= 36/12
= 6
There are 2/3 bags of trail
= 2/3 × 6
= 4
Hence 4 bags of trail mix are left after completing one step
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what is 3 1\2 divided by 4? ( will give 63 points}
Answer:
7/8 or 0.875
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
[tex]3\frac{1}{2} = \frac{3*2+1}{2} = \frac{7}{2} \\\\\frac{7}{2} \div 4=\frac{7}{2}*4=7*2=14[/tex]
a. The number 322.676 rounded to the nearest integer
Answer:
323
Step-by-step explanation:
Integer = whole number
.6 always rounds upwards
The product of four times a number an 1
Answer:Let x = the unknown number
The product of a number and 5: 5x
is =
four times the sum of that number and 10: 4*(x+10)
5x = 4(x+10)
5x = 4x + 40
Step-by-step explanation:
Find the indicated Probability given P ( A ) = 0.55 P ( B ) = 0.5 P ( A and B ) = 0.2 P ( A or B ) =
The value of the indicated probability P(A or B) is 0.85
How to find the indicated probability?The probabilities are given as
P(A) = 0.55
P(B) = 0.5
P(A and B) = 0.2
The indicated probability is given as
P(A or B)
This is calculated using the following equation
So, we have
P(A or B) = P(A) + P(B) - P(A and B)
So, we have
P(A or B) = 0.55 + 0.5 - 0.2
Evaluate the like terms
P(A or B) = 0.85
Hence, the value of the indicated probability P(A or B) is 0.85
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how to write a upside down V on the keyboard
after you open your keyboard click on the "?123" button then click on the "=\<" button then there u will look for the upside down V
Step-by-step explanation:
thank you !!
A firm produces a product that has the production cost function C(x)=220x+3905 and the revenue function
R(x)=275x. No more than 22 units can be sold. Find and analyze the break-even quantity, then find the profit function.
The break-even quantity is 71 units.
(Type a whole number.)
If the company can produce and sell no more than 22 units, should it do so?
OA. Yes. Since 22 is greater than the break-even quantity, production of the product can produce a profit.
OB. Yes. Since 22 is less than the break-even quantity, production of the product can produce a profit.
C. No. Since 22 is equal to the break-even quantity, production of the product cannot produce a profit.
D. No. Since 22 is less than the break-even quantity, production of the product cannot produce a profit.
Write the profit function.
P(x)=
can someone explain how do i do this 343c^3+d^3=?
The answer of given expression [tex]343c^3+d^3[/tex] will be [tex](7c + d)(49c^2-7cd+d^2)[/tex]
An algebraic expression in mathematics is an expression composed of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.An expression is a combination of terms combined by mathematical operations such as subtraction, addition, multiplication, and division. The terms that appear in the formula are: Constant: A constant is a fixed number. Variables: Variables are symbols that do not have fixed values. Term: A term can be a single constant, a single variable, or a combination of variables and constants combined with multiplication or division. Coefficient: A coefficient is a number that is multiplied by a variable in an expression.We have given an expression [tex]343c^3+d^3[/tex] which can be written as [tex](7c)^3+(d)^3[/tex]
Using identity [tex]a^3 + b^3 = (a + b) (a^2 - ab + b^2)[/tex]. ...(1)
Put a = 7c and b = d in equation (1) , we get
[tex](7c)^3 + (d)^3 = (7c + d) ((7c)^2 - 7cd + (d)^2)\\\\(7c)^3 + (d)^3 =(7c + d)(49c^2-7cd+d^2)[/tex]
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What is the solution to the equation?
√x-1= -4
Answer:
x=25
Step-by-step explanation:
√x−1−4=0
√x−5=0
√x=5
√x^2=5^2
x= 25
NO LINKS!!
Please help me with this graph. Part 2
Answer:
12 square units
Step-by-step explanation:
You want the area of polygon FGHJ from its vertices, using some unspecified formula.
FormulaWe don't know what formula you were given, but one that we like is ...
[tex]\displaystyle A=\dfrac{1}{2}\left|\sum_{k=1}^n{x_k(y_{k+1}-y_{k-1})}\right|[/tex]
This formula is implemented in the attached spreadsheet. The line marked Area gives half the absolute value of the sum of the numbers above.
ApplicationFor the given points, the formula is computed by the attached spreadsheet. We recommend this approach whenever repetitive math is involved. You will note that repeating the first two point coordinates makes the formula more straightforward.
The area of this 4×3 rectangle is 12 square units.
Finding the area of a polygon
2+2=4-1=3 quick maths
What is the value of x in the system of equations below?
3x+y+2z= -10
x+5y+2z= -12
-2x+3y = -1
I've been stuck on this for awhile, it's like I get it but I donnnt
The x-value that is a solution of the system is x = 3.
what is the value of in the system of equations?
Here we have the system of equations:
3x+y+2z= -10
x+5y+2z= -12
-2x+3y = -1
And we want to find the value of x.
Using the third equation we can write y in terms of x:
y = (-1 + 2x)/3
Now we can replace that in the other two equations:
3x + (-1 + 2x)/3 + 2z= -10
x + 5*(-1 + 2x)/3 + 2z= -12
We can simplify thes two to get:
(3 + 2/3)*x + 2z = -10 + 1/3 = -29/3
(1 + 2/3)*x + 2z = -12 +5/3 = -31/3
Now if we subtract these two equations we will get:
(3 + 2/3)*x - (1 + 2/3)*x = -29/3 + 31/3 = 2/3
2x = 2/3
x = (2/3)/2 = 1/3
x = 1/3
The x-value that is a solution of the system is x = 3.
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Will Give Brainliest!!!! Match each step with the correct justification.
Given: QM MR
a. Given
b. Subtraction Property of Equality
c. Addition Property of Equality
d. Substitution.
e. Division Property of Equality
Answer:
Will Give Brainliest!!!! Match each step with the correct justification.
Given: QM MR
a. Given
Select the correct answer.
Which equation represents the line that is perpendicular to y = and passes through (-6,-9)?
OA. x = -9
B. X=-6
OC. y=-9
OD. y=-4
The equation of the line will be x = -6, that is, option B.
Here, we are given that a line passes through point (-6,-9) and perpendicular to y = 1/4
If two line are perpendicular to each other, the product of their slopes is equal to -1.
Here, the slope of y = 1/4 will be 0 as y is a constant value and not changing.
Let the slope of the given equation be m
them m × 0 = -1
m = -1/0
Thus, the slope is not defined, this means that the line will be parallel to x axis of the form x = k.
Now, we know that the line passes through point (-6,-9). This means that if y = -9, x will be -6. But we know that x will take only one value for all values of y.
Thus, the equation of the line will be x = -6, that is, option B.
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Your question was incomplete. Check for the full content below-
Select the correct answer.
Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6-9)?
OA. x= -9
OB. x=-6
Oc. y=9
OD. y= -4
A carpet is made with a blend of wool and other fibers. If the concentration of wool in the carpet is 75% and the carpet weighs 185 lb, how much wool is in the carpet?
Answer:
138.75 lb
Step-by-step explanation:
75% as a percentage is 0.75.
185(0.75) = 138.75
Suppose you are standing such that a 32-foot tree is directly between you and the sun. If you are standing 105 feet away from the tree and the tree casts a 120-foot shadow, how tall could you be and still be completely in the shadow of the tree?
In the shadow of the tree, Height = 4 feet
Given :
A 32-foot tree is directly between you and the sun
you are standing 105 feet away from the tree
the tree casts a 120-foot shadow
Trigonometry is one of the most important branches in mathematics that finds huge application in diverse fields. The branch called “Trigonometry” basically deals with the study of the relationship between the sides and angles of the right-angle triangle. Hence, it helps to find the missing or unknown angles or sides of a right triangle using trigonometric formulas, functions, or trigonometric identities. In trigonometry, the angles can be either measured in degrees or radians.
In this article, let us discuss the six important trigonometric functions, ratios, trigonometry tables, formulas, and identities that help to find the missing angles or sides of a right triangle.
Trigonometry is one of the important branches in the history of mathematics that deals with the study of the relationship between the sides and angles of a right-angled triangle.
Solution :
Trigonometry
Length of shadow= 120-105
Length if shadow= 15 feet
height= x
X/15= 32/120
X= 15*32/120
x= 15* 16/60
x= 15*8/30
x= 15*4/15
x= 4
X = 4 feet
Height = 4 feet
In the shadow of the tree, Height = 4 feet
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