Answer:
$97.20
Step-by-step explanation:
you make the 8% into a decimal by moving the decimal to places to the left.
8%=0.08, Then you multiply that by the whole number of 90 dollars.
0.08 x 90 = $97.20
Total cost of the jacket with sales tax is given by the equation A = $ 97.20
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total cost of the jacket with the sales tax be A
Now , the equation will be
The cost of the jacket = $ 90
The sales tax percentage = 8 %
So , the sales tax amount = ( 8 / 100 ) x cost of the jacket
Substituting the values in the equation , we get
The sales tax amount = 0.08 x 90
The sales tax amount = $ 7.20
Now , the total cost of the jacket with the sales tax = cost of the jacket + sales tax amount
Substituting the values in the equation , we get
The total cost of the jacket with the sales tax A = 90 + 7.20
The total cost of the jacket with the sales tax A = $ 97.20
Hence , the total cost is $ 97.20
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Will give brainliest, Please help!!
A man walking his dog went around the neighborhood (1 mile) in 20 minutes. What was his speed?
Answer:
what?
Step-by-step explanation:
What is the distance formula?
Which set represents a function?
{(1, 3), (4, 5), (4, 9), (6, 19)}
{(-5, 6), (-3, 13), (-14, 30)}
{(12, 12), (12, 13), (12, 14)}
Answer: {(-5, 6), (-3, 13), (-14, 30)} is a function
{(12, 12), (12, 13), (12, 14)} and {(1, 3), (4, 5), (4, 9), (6, 19)} are not a function
Answer:
the second set
Step-by-step explanation:
You cannot have the same number in your domain twice.
The difference of y and 8.1 is 20.
Flnd the value of y.
Answer:
y = 28.1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Set Up Equation
"Difference" is subtraction
"y" is y
"8.1" is 8.1
"is" is equal
"20" is 20
y - 8.1 = 20
Step 2: Solve for y
Add 8.1 to both sides: y = 28.1Select the correct answer
Answer:
1/49
Step-by-step explanation:
multiplying two of these, as long as the bases are the same, which is true here, you can add the exponents
so the exponents would be
-5/6 + (-7/6)=-5/6-7/6=-12/6=-2
7^-2=1/49
Answer:
Step-by-step explanation:
1/49
11. Find the measure of each missing angle.
Help me pls!
Answer:
1=15?
Step-by-step explanation:
5*4=15 becuz lower angle=top 1 angle and stuff i hope this helps. im just a helpless 6th grader :)
math please help me
answer choice
This system has no solutions.
(5/8, 14)
This system has infinitely many solutions.
(−5/8, 4)
Answer:
What do you mean? It could be both, in different ways.
Pls ANSER WHOEVER ANSWERS FIRST GETS BRAINLIEST!!!!!!!!!
Shelby bought 6½ pounds of hamburger meat to make hamburger
patties. However, 4⅔ pounds of the hamburger had to be thrown away.
How much of the hamburger meat did not get thrown away?
Answer:
1.83 was not thrown away
Answer:
2 1/6
Step-by-step explanation:
6 1/2 - 4 2/3 = 2 1/6
help please..... I cant find the answe
Answer:
[tex]6^{30}[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] ⇔ [tex]a^{mn}[/tex]
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]
Given
[tex]\frac{(6^-4)^{-9} }{6^6}[/tex]
= [tex]\frac{6^{36} }{6^{6} }[/tex]
= [tex]6^{(36-6)}[/tex]
= [tex]6^{30}[/tex]
Pls help me with this math
Answer:pi^4
Step-by-step explanation:
When you divide exponents, you subtract them. So you would subtract 11-7=4. The exponent would be 4 and base would be ok. Brainlist please!
Set up the following additional using a vertical format and find the sum of the given polynomials:
7b+3, -4b+5, and -3b+2
Answer:
Step-by-step explanation:
The Answer is 10
On an assembly line that is 150 feet long, there is a work station every 15 feet. The first station is at the very beginning of the line. How many work stations are there?
70% of 350 is what number?
Answer:
245
Step-by-step explanation:
What is 70 percent (calculated percentage %) of number 350? Answer: 245.
Find the inverse when f(x)=3x^2-3x-2
Answer:
The inverse of f(x) is [tex]f^{-1}[/tex](x) = ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] + [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
To find the inverse of the quadratic function f(x) = ax² + bx + c, you should put it in the vertex form f(x) = a(x - h)² + k, where
h = [tex]\frac{-b}{2a}[/tex] k is the vlue f at x = h∵ f(x) = 3x² - 3x - 2
→ Compare it with the 1st form above to find a and b
∴ a = 3 and b = -3
→ Use the rule of h to find it
∵ h = [tex]\frac{-(-3)}{2(3)}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
∴ h = [tex]\frac{1}{2}[/tex]
→ Substitute x by the value of h in f to find k
∵ k = 3( [tex]\frac{1}{2}[/tex])² - 3( [tex]\frac{1}{2}[/tex]) - 2
∴ k = [tex]-\frac{11}{4}[/tex]
→ Substitute the values of a, h, and k in the vertex form above
∵ f(x) = 3(x - [tex]\frac{1}{2}[/tex])² + [tex]-\frac{11}{4}[/tex]
∴ f(x) = 3(x - [tex]\frac{1}{2}[/tex])² - [tex]\frac{11}{4}[/tex]
Now let us find the inverse of f(x)
∵ f(x) = y
∴ y = 3(x - [tex]\frac{1}{2}[/tex])² - [tex]\frac{11}{4}[/tex]
→ Switch x and y
∵ x = 3(y - [tex]\frac{1}{2}[/tex])² - [tex]\frac{11}{4}[/tex]
→ Add [tex]\frac{11}{4}[/tex] to both sides
∴ x + [tex]\frac{11}{4}[/tex] = 3(y - [tex]\frac{1}{2}[/tex])²
→ Divide both sides by 3
∵ [tex]\frac{x+\frac{11}{4}}{3}[/tex] = (y - [tex]\frac{1}{2}[/tex])²
→ Take √ for both sides
∴ ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] = y - [tex]\frac{1}{2}[/tex]
→ Add [tex]\frac{1}{2}[/tex] to both sides
∴ ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] + [tex]\frac{1}{2}[/tex] = y
→ Replace y by [tex]f^{-1}[/tex](x)
∴ [tex]f^{-1}[/tex](x) = ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] + [tex]\frac{1}{2}[/tex]
∴ The inverse of f(x) is [tex]f^{-1}[/tex](x) = ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] + [tex]\frac{1}{2}[/tex]
1/4x+3/8 factored by the GCF
Given:
[tex]\dfrac{1}{4}x+\dfrac{3}{8}[/tex]
To find:
The factor form of given expression by the GCF.
Solution:
First we need to find the GCF of [tex]\dfrac{1}{4}[/tex] and [tex]\dfrac{3}{8}[/tex].
So, make denominators same.
[tex]\dfrac{1}{4}=\dfrac{1\times 2}{4\times 2}=\dfrac{2}{8}[/tex]
Now,
[tex]GCF\left(\dfrac{2}{8},\dfrac{3}{8}\right)=\dfrac{1}{8}[/tex]
[tex]GCF\left(\dfrac{1}{4},\dfrac{3}{8}\right)=\dfrac{1}{8}[/tex]
We have,
[tex]\dfrac{1}{4}x+\dfrac{3}{8}[/tex]
It can be written as
[tex]=\dfrac{2}{8}x+\dfrac{3}{8}[/tex]
Taking out the GCF [tex]\dfrac{1}{8}[/tex], we get
[tex]=\dfrac{1}{8}(2x+3)[/tex]
Therefore, the required factor form is [tex]\dfrac{1}{8}(2x+3)[/tex].
the length of a rectangle is one unit more than its width. if the area of the rectangle is 56 square units,find the dimensions of the rectangle
Given:
The length of a rectangle is one unit more than its width.
Area of rectangle = 56 units
To find:
The dimensions of the rectangle.
Solution:
Let, width of the rectangle be x.
Then, length of the rectangle = x+1
Area of a rectangle is
[tex]Area=length\times width[/tex]
[tex]56=(x+1)\times x[/tex]
[tex]56=x^2+x[/tex]
[tex]0=x^2+x-56[/tex]
By splitting the middle term, we get
[tex]x^2+8x-7x-56=0[/tex]
[tex]x(x+8)-7(x+8)=0[/tex]
[tex](x-7)(x+8)=0[/tex]
Using zero product property, we get
[tex]x-7=0[/tex] and [tex]x+8=0[/tex]
[tex]x=7[/tex] and [tex]x=-8[/tex]
Width cannot be negative. So, x=7.
Now,
Width = 7 units
Length = 7+1
= 8 units
Therefore, the length of the rectangle is 8 units and width is 7 units.
Answer:
7
Step-by-step explanation: POV: I got it right
Solve for y
*show your work *
6. -6 + 2y= -x
7. 3y - 6x = 15
8. 2x + 4y = 8
9. 3x -3y = 3
10. 1/2y - 4x = 2
Answer: 1)2x=4 -> 4/2 = 2 so x=2
2) y=0
3) x=3
4) 2y + (3*3y) = -15
11y=-15
y = -15/11
5) 4x + 7x + 63 = 19
11x = -44
x = -4
Step-by-step explanation:
What is the simplified form of the expressions? a. −6a2b−1 b. 5/y−3
Given:
The expressions are
[tex]-6a^2b^{-1}[/tex]
[tex]\dfrac{5}{y^{-3}}[/tex]
To find:
The simplified form of each expression.
Solution:
We have,
[tex]-6a^2b^{-1}[/tex]
[tex]=-6a^2(\dfrac{1}{b})[/tex] [tex][\because x^{-n}=\dfrac{1}{x^n}][/tex]
[tex]=-\dfrac{6a^2}{b}[/tex]
Therefore, the simplified form of [tex]-6a^2b^{-1}[/tex] is [tex]-\dfrac{6a^2}{b}[/tex].
We have,
[tex]\dfrac{5}{y^{-3}}[/tex]
[tex]=\dfrac{5}{\dfrac{1}{y^3}}[/tex] [tex][\because x^{-n}=\dfrac{1}{x^n}][/tex]
[tex]=5\times \dfrac{y^3}{1}[/tex]
[tex]=5y^3[/tex]
Therefore, the simplified form of [tex]\dfrac{5}{y^{-3}}[/tex] is [tex]5y^3[/tex].
angle 2 and angle 8 are...... because they are...... help me please!!!
Answer:
angle 2 and angle 8 are alternate interior angles
Step-by-step explanation:
What’s the answer to this problem I’m really confused ?
Answer:
C
Step-by-step explanation:
sin= opposite/hypotenuse
A survey of 100 doctors revealed that 2 out of every 5 doctors recommended Brand M deodorant. Based on these results, how many doctors did NOT recommend Brand M?
Answer:
40
Step-by-step explanation:
5 x 5 is 25 so 2 x 5, 20 times makes 40
Mr. Thompson drew a rectangle on the chalkboard with a length to width ratio of 5 to 2. He asked students to draw a rectangle with the same ratio of length to width in their journals. Audrey plans to draw a rectangle with a width of 6 centimeters. What length should Audrey's rectangle have?
Answer:
15 centimeters
Step-by-step explanation:
Ratio of Mr. Thompson rectangle = length : width
= 5 : 2
Audrey plans to draw a rectangle with a width of 6 centimeters.
Ratio of Audrey rectangle = length : width
= x centimeters : 6 centimeters
Equate the two ratios to find the value of x
5 : 2 = x : 6
Cross product
5 * 6 = 2 * x
30 = 2x
Divide both sides by 2
x = 30 / 2
= 15
x = 15 centimeters
Audrey's rectangle should have a length of 15 centimeters
Answer:
15
Step-by-step explanation:
If x = -1, then (x - 1)(2 - x) = ?
Helplsieedgoodgradeplspls
Answer:
He would need to walk the dog 6 more times because 8 times 11 is 88 and if he has already walked the dog 5 times you would subtract that from 11 to get 6. So the answer would be 6
Step-by-step explanation:
8·11= 88
11-5= 6
HELP ME PLS !!!!!!!!!
How do I solve 1.5 to the -2 power or 1.5^-2 (its an exponent) I have had to repost this like 3 times IF YOU ARE NOT SURE THEN DONT ANSWER the answer is .4 repeating if your explanation does not get that move along
Answer:
see explanation
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] , then
[tex]1.5^{-2}[/tex]
= [tex]\frac{1}{1.5^{2} }[/tex]
= [tex]\frac{1}{2.25}[/tex]
= 0.4444.....
One tank is filling at a rate of 5/8 gallon per 7/10 hour. A second tank is filling at a rate of 5/9 gallon per 2/3 hour. Which tank is filling faster?
Answer:
First tanks
Step-by-step explanation:
Rate for the first tank
One tank is filling at a rate of 5/8 gallon per 7/10 hour.
= 5/8 gallon ÷ 7/10 hour
= 5/8 ×10/7 (gallon/hour)
= 25/28 gallon/hour
= 0.8928571429 gallon /hour
Rate for the second tank
A second tank is filling at a rate of 5/9 gallon per 2/3 hour.
5/9 gallon ÷ 2/3 hour
5/9 × 3/2 (gallon per hour)
= 5/6 (gallon per hour)
= 0.8333333333 gallon/hoir
The tank that is filling faster the first tank at the rate of 0.8928571429 gallon /hour
A large cube has a volume of 1 cubic unit. A small cube has a volume of 1 27 of a cubic unit. What is the difference between the edge length of the large cube and the edge length of the small cube?
Given:
Volume of Large cube = 1 cubic unit
Volume of small cube = [tex]\dfrac{1}{27}[/tex] cubic unit
To find:
The difference between the edge length of the large cube and the edge length of the small cube.
Solution:
Let the edges of large and small cubes are [tex]a_1[/tex] and [tex]a_2[/tex] respectively.
We know that, volume of a cube is
[tex]V=(edge)^3[/tex]
Volume of Large cube = 1 cubic unit
[tex](a_1)^3=1[/tex]
Taking cube root on both sides, we get
[tex]a_1=1[/tex]
So, edge of large cube is 1 unit.
Volume of small cube = [tex]\dfrac{1}{27}[/tex] cubic unit
[tex](a_2)^3=\dfrac{1}{27}[/tex]
Taking cube root on both sides, we get
[tex]a_2=\dfrac{1}{3}[/tex]
So, edge of large cube is [tex]\dfrac{1}{3}[/tex] unit.
Now, difference between them is
[tex]d=a_1-a-2[/tex]
[tex]d=1-\dfrac{1}{3}[/tex]
[tex]d=\dfrac{3-1}{3}[/tex]
[tex]d=\dfrac{2}{3}[/tex]
Therefore, the difference between the edge length of the large cube and the edge length of the small cube is [tex]\dfrac{2}{3}[/tex] unit.
How much interest is earned on a principle of $838.50 invested at an interest rate of 19% for 6 years? Round to the nearest cent
Answer:
$956
Step-by-step explanation:
Interest = Principal(Rate)(Time)/100
Interest = 838.5(19)(6)/100)
Interest = $95589/100
Interest = $955.89
Interest = $956(to the nearest cent)(Answer)
Missing angels in triangles worksheet
Answer:
Try to find it !
Step-by-step explanation:
look at every spot you went to in the day ! retrace your steps !