Answer:
Step-by-step explanation:
Identify what you are asked to find. What is the sales tax?
Choose a variable to represent it. Let t = sales tax.
Write a sentence that gives the information to find it. The sales tax is 6.5% of the purchase price.
Translate into an equation. (Remember to change the percent to a decimal).
Simplify. t = 25.48
Check: Is this answer reasonable? Yes, because the sales tax amount is less than 10% of the purchase price.
Write a complete sentence that answers the question. The sales tax is $25.48.
(b)
Identify what you are asked to find. What is the total cost of the bicycle?
Choose a variable to represent it. Let c = total cost of bicycle.
Write a sentence that gives the information to find it. The total cost is the purchase price plus the sales tax.
Translate into an equation. (Remember to change the percent to a decimal).
Simplify. c = 417.48
Check: Is this answer reasonable? Yes, because the total cost is a little more than the purchase price.
Write a complete sentence that answers the question. The total cost of the bicycle is $417.48.
Exercise 6.3.1 :
Find (a) the sales tax and (b) the total cost: Alexandra bought a television set for $724 in Boston, where the sales tax rate was 6.25% of the purchase price.
Answer a
Answer b
Exercise 6.3.2 :
Find (a) the sales tax and (b) the total cost: Kim bought a winter coat for $250 in St. Louis, where the sales tax rate was 8.2% of the purchase price.
Answer a
Answer b
Example 6.3.2 :
Evelyn bought a new smartphone for $499 plus tax. She was surprised when she got the receipt and saw that the tax was $42.42. What was the sales tax rate for this purchase?
Solution
Identify what you are asked to find. What is the sales tax rate?
Choose a variable to represent it. Let r = sales tax.
Write a sentence that gives the information to find it. What percent of the price is the sales tax?
Translate into an equation.
Divide.
499r499=42.42499(6.3.1)
Simplify r = 0.085
Check. Is this answer reasonable? Yes, because 8.5% is close to 10%. 10% of $500 is $50, which is close to $42.42.
Write a complete sentence that answers the question. The sales tax rate is 8.5%.
Exercise 6.3.3 :
Diego bought a new car for $26,525. He was surprised that the dealer then added $2,387.25. What was the sales tax rate for this purchase?
Answer
Exercise 6.3.4 :
What is the sales tax rate if a $7,594 purchase will have $569.55 of sales tax added to it?
You can use the method of calculating the percentage of an amount to find out the discount amount.
The discount price for the given condition was $205.2
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is [tex]\dfrac{a}{100} \times b[/tex]
How to find the discount price?First we will find the marked price since the discount price was calculated on the marked price.
Since marked price was 150% of the cost price $456, thus,
[tex]\text{Marked price} = \dfrac{456}{100} \times 150 = \$684[/tex]
Thus, the marked price of the furniture was $684
Now, since the discount offered on the price was 30%, thus,
[tex]Discount = \dfrac{\text{Marked price}}{100} \times \text{Discount percent} =\dfrac{684}{100} \times 30\\\\Discount = \$205.2[/tex]
Thus,
The discount price for the given condition was $205.2
Learn more about percentage here:
https://brainly.com/question/11549320
Solve for x.
11
3
9.
9514 1404 393
Answer:
x = 33
Step-by-step explanation:
The product of the lengths of the segments of one chord is the same as the product of segment lengths for the other chord:
11×9 = 3x
x = 99/3 = 33
Your job is to sell headbands for each headband that you sell at headbands R us you earn a commission of $1.25 if you do not sell any headbands you do not earn any money
Answer:
10 headbands = $12.50
Step-by-step explanation:
1) The function equation that represents the relationship between the number of headbands sold (x) and the commission earned (S) is: S = 1.25 * x. For each headband sold, you earn a commission of $1.25.
2) The point (5, 6.5) is not a solution for the function. When you sell 5 headbands, the commission earned should be $6.25, not $6.5.
3) A solution that does not appear in the table is (10, 12.50). Selling 10 headbands would result in a commission of $12.50.
1.
To complete the table, we can use the given information that for each headband sold, you earn a commission of $1.25.
Function Rule (Commission S): The function equation that represents the relationship between the number of headbands sold (x) and the commission earned (S) is:
S = 1.25 * x
Now, we can use this function to fill in the table:
Number of Headbands Sold (x) | Commission (S)
0 | 0 * 1.25 = $0 (No commission earned for 0 headbands sold)
1 | 1 * 1.25 = $1.25
2 | 2 * 1.25 = $2.50
3 | 3 * 1.25 = $3.75
7 | 7 * 1.25 = $8.75
15 | 15 * 1.25 = $18.75
32.50 | 32.50 * 1.25 = $40.625 (The value in the table seems to be a typo, it should be 32.50 * 1.25 = $40.625)
2.
To check if (5, 6.5) is a solution for the function, we need to see if the commission earned (S) matches with the given number of headbands sold (x) for that point.
Given (x, S) = (5, 6.5)
Using the function rule: S = 1.25 * x
S = 1.25 * 5 = 6.25
The commission earned (S) is $6.25, not $6.5. Therefore, (5, 6.5) is not a solution for the function as the value of S does not match.
3.
To identify a solution that does not appear in the table, we can select any number of headbands sold (x) and calculate the corresponding commission (S) using the function rule.
For example, let's choose x = 10:
Using the function rule: S = 1.25 * 10 = $12.50
So, a solution that does not appear in the table is (10, 12.50), where 10 headbands sold results in a $12.50 commission.
Learn more about Function Rule from the link given below.
https://brainly.com/question/10705186
#SPJ2
PLS I NEED HELP!!!! If the base of a rectangle is 9 cm and the area is 112.3 cm2, what is the height of the rectangle? Round your answer to the nearest tenth.
Answer:
12.5
Step-by-step explanation:
112.3 / 9 = 12.47777......
look at the screenshot i posted :) i need help
Answer:
either
Step-by-step explanation:
not sure what your options are, but XYZ & ABC are the same in price per member, so either club is good
WHO ANSWERS I WILL MARK BRAINLIEST
Jarvis works in a garage for $9 an hour.
If he works on Saturday he is paid time and a half.
If he works on Sunday he is paid time and three quarters.
Last weekend Jarvis worked for FIVE hours on Saturday and TWO hours on Sunday.
Hours paid on Saturday ( Mixed fraction ) =
Hours paid on Sunday ( Mixed fraction ) =
Total hours paid ( Mixed fraction ) =
How much was Jarvis paid last weekend altogether?
Javier says that when you add a positive and a negative number the sum is always negative. is Javier or statement true or false explain your reasoning
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Above statement is incorrect, because if the positive number is equal to the numerical value of negative number then their sum will be zero, and If the numerical value of positive number is greater than that of negative number then the sum will be a positive number, so the probability is of both three, the sum can be positive, negative as well as zero.
Answer:
The above statement is false.
Explanation:
If the positive number is greater than the negative, then it will stay positive.
winstons family is making 4 pizza's for dinner. they have 1 over 2 of a pound of shredded cheese and put an equal amount on. rach pizza how many pounds of cheese do they put on each pizza?
Answer:
1/8
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
4 divided by 1/2
2 log x - log y - 2 log z as a single logarithm
Answer:
log ( x^2/(yz^2))
Step-by-step explanation:
2 log x - log y - 2 log z
We know a log b = log b^a
Rewriting
2 log x = log x^2 and 2 log z = log z^2
log x^2 - log y - log z^2
Rewriting
log x^2 - (log y + log z^2)
We know that log a + log b = log (a*b)
log x^2 - (log (y z^2))
And we know log a - log b = log (a/b)
log ( x^2/(yz^2))
Answer:
[tex]log\frac{x^2}{yz^2}[/tex]
Step-by-step explanation:
Simplify 2log(x) by moving 2
inside the logarithm.
Simplify 2log(x) by moving 2
inside the logarithm.
log(x^2)−log(y)−2log(z)
Simplify −2log(z)
by moving 2
inside the logarithm.
log(x^2)−log(y)−log(z^2)
Use the quotient property of logarithms, logb (x)−logb (y)=logb (x/y)
[tex]log\frac{x^2}{y} - log(z^2)[/tex]
Use the quotient property of logarithms, logb(x)−logb(y)=logb (x/y)
[tex]log (\frac{x}{y})/( \frac{1}{z^2}}][/tex]
Multiply the numerator by the reciprocal of the denominator.
[tex]log\frac{x^2\\ }{y}.\frac{1}{z^2}[/tex]
Combine.
[tex]log\frac{x^2*1\\ }{yz^2}[/tex]
Multiply [tex]x^{2}[/tex] by 1
[tex]log\frac{x^2}{yz^2}[/tex]
Blake can paint a room in 9 hours, Ned can paint the same room in 6 hours, how long to paint the room together
A cord of length 71.5 m has been cut into 26 pieces of equal length. What is the length
of each piece?
Answer:2.75
Step-by-step explanation:71.5÷26=2.75
(-4,6) slope 3/4 written in slope intercept form
Answer:
y=3/4x+9
Step-by-step explanation:
it is right trust me.
The price of a gallon of gas went from $2.34 to $2.99. What is the percent increase?
Answer:
64
Step-by-step explanation:
99-34=64
the two stays the same
What is the length of the line segment with endpoints (11.6, −4.1) and (−12.5, −4.1) ?
Enter your answer as a decimal in the box.
helllpppp
Answer:
24.1 units
Step-by-step explanation:
A regular octagon divides
into how many triangles
(drawn from a point in the
center of the octagon)?
Answer:
8
Step-by-step explanation:
a triangle for each side
17 - (-25) =
I need help
Answer:
42
Step-by-step explanation:
rewrite by changing subtraction sign to addition and the following number to opposite
- always involves two sign changes
have a good day
If the volume of a cube is 225 cubic inches, estimate the length of each side of the cube to the nearest tenth. __in.
9514 1404 393
Answer:
6.1 in
Step-by-step explanation:
Your calculator can tell you the cube root of 225 is about 6.08220.
The side of the cube is about 6.1 inches.
_____
V = s³
∛V = s = ∛(225 in³) ≈ 6.1 in
Can someone please help me?
Answer: X=7/3
Step-by-step explanation:
3
+
2
=
2
+
1
3
3
3x+2=2x+\frac{13}{3}
3x+2=2x+313
Solve
1
Subtract
2
2
2
from both sides of the equation
3
+
2
=
2
+
1
3
3
3x+2=2x+\frac{13}{3}
3x+2=2x+313
3
+
2
−
2
=
2
+
1
3
3
−
2
3x+2{\color{#c92786}{-2}}=2x+\frac{13}{3}{\color{#c92786}{-2}}
3x+2−2=2x+313−2
2
Simplify
Subtract the numbers
Subtract the numbers
3
=
2
+
7
3
3x=2x+\frac{7}{3}
3x=2x+37
3
Subtract
2
2x
2x
from both sides of the equation
3
=
2
+
7
3
3x=2x+\frac{7}{3}
3x=2x+37
3
−
2
=
2
+
7
3
−
2
3x{\color{#c92786}{-2x}}=2x+\frac{7}{3}{\color{#c92786}{-2x}}
3x−2x=2x+37−2x
4
Simplify
Combine like terms
Multiply by 1
Combine like terms
=
7
3
x=\frac{7}{3}
x=37
Solution
=
7
3PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
IM WRONG NVM ..........
Drag each tile to the correct box.
Arrange the absolute value expressions in increasing order of their values.
Answer:
18, 38, 43, 47, 55, 88, 90
Hope that has helped
45 is what percent of 80?
Directions: Use the information in the charts to answer the questions. Type of Fruit Cost Estimated Cost apple $1.75/pound 8.75 orange $2.35/pound 9.40 banana $1.50/pound 4.50 Annie bought 5 pounds of apples, 4 pounds of oranges, and three pounds of bananas. a. Round the prices to the nearest whole dollar to estimate how much money she spent. b. How much money did Annie actually spend? Write a numerical expression to represent the amount of money that Annie spent. Was your estimation an overestimation or underestimation? Why do you think that might be?
Estimates are used to make prediction about an actual value
Annie estimated spending $52Annie actually spent $48.25Your estimation is an overestimationThe chart is given as:
Fruit Cost Estimated
Apple $1.75/pound 8.75
Orange $2.35/pound 9.40
Banana $1.50/pound 4.50
The number of pounds of each fruit Annie bought are:
[tex]Apples= 5[/tex]
[tex]Orange = 4[/tex]
[tex]Banana = 3[/tex]
(a) The estimated amount
To do this, we make use of the estimated column.
So, we have:
[tex]Estimated = \sum Cost \times Pounds[/tex]
[tex]Estimated =1.75*5+8.75*4+1.50*3[/tex]
Approximate the prices
[tex]Estimated =2*5+9*4+2*3[/tex]
[tex]Estimated =52[/tex]
Hence, Annie estimated spending $52
(b) The actual amount spent
To do this, we make use of the cost column.
So, we have:
[tex]Actual = \sum Cost \times Pounds[/tex]
[tex]Actual =1.75*5+8.75*4+1.50*3[/tex]
[tex]Actual =48.25[/tex]
Hence, Annie actually spent $48.25
(c) The decision
By comparison, the estimated spending is greater than the actual amount spent.
Hence, your estimation is an overestimation
Read more about estimation at:
https://brainly.com/question/6768038
which data set shows greater variability ?why?
A or B
shows greater variability because the MAD is greater that the MAD for
A or B
Algebra 1
> H.2 Distributive property BHL
Factor 2w + 8.
Write your answer as a product with a whole number greater than 1.
Answer:
2(w+4)
Step-by-step explanation:
2w+8
=2(w+4) -> factoring by grouping
Multiply. Write your answer as a fraction in simplest form. 2/3 × 9/4
Answer:
1.5 or 1 1/2
Step-by-step explanation:
2*9 = 18
4*3 = 12
18/12 = 3/2
1.5 or 1 1/2
Question 2. In 2015, a Pew Research poll determined that 56% of teenagers go online several times a day.
You question a sample of 150 area high school students about their online habits. Describe the sampling distribution for the sample proportion, for samples of size 150, of high school students who go online several times a day. You should include a picture that approximates the sampling distribution, and label at least five tick marks in that drawing. Round to the nearest tenth of a percent.
b. You find that, in your sample, 94 of the high school students go online several times a day. Assuming the percentage obtain from Pew, is your result unusual, as defined in class? Justify your answer with a z-score.
Answer:
84 students go online several times a day
Step-by-step explanation:
To make an international telephone call, you need a the code the country you are calling. The codes for the country A, country B, and C are three consecutive integers whose sum is 90 find the code for each county
Answer:
Let:
x = code for country A
This is important: "the codes are three consecutive integers" That means,
x is code for country A
(x+1) is code for country B
(x+2) is code for country C
whose sum is 81" means
x + (x+1) + (x+2) = 90
3x+3=90
=3x=90-3
=3x=87
=x=87/3
=x=29
So, the codes are=29,30,31
To check 29+30+31=90
A construction worker needs to put a rectangular window in the side of a
building. He knows from measuring that the top and bottom of the window
have a width of 8 feet and the sides have a length of 15 feet. He also
measured one diagonal to be 17 feet. What is the length of the other
diagonal?
A. 17 feet
B. 23 feet
C. 15 feet
D. 8 feet
Answer:
A. 17 feet
Step-by-step explanation:
fill in the blank (no word bank)
Answer:
1.Angle B
2.Angle C
If It Is Wronge Sory
The length of each side of a square is
represented by 2x - 1. Represent the
perimeter of the square.
Answer:
Perimeter = 4(2x - 1)
Step-by-step explanation:
Since the Perimeter of a square is 4L, it would be,
(2x - 1) + (2x - 1) + (2x - 1) + (2x - 1) which could also be shortened to 4(2x - 1)
Answer:
P = 4(2x - 1)
Step-by-step explanation:
Given that the side of each square is 2x - 1:
The formula for finding the perimeter of a square is:
P = 4s
where s represents the side of a square.
Substitute the given value for s into the perimeter formula:
s = 2x - 1
P = 4(2x - 1)
Therefore, the perimeter of the square is 4(2x - 1).
Give an equation for the result of shifting the graph of up by 4 units, and left by 2 units.
An equation is written as two expressions connected by the equal sign
Enter an equation for the shifted graph:
We define transformations as operators that act on functions by modifying them in some given way. One type of transformation is a translation, which will move the whole graph of the function in some give direction.
For a general function f(x), we will find that the equation for the result of shifting the graph up by 4 units and left by 2 units is:
g(x) = f(x + 2) + 4
----------------------------------
Let's see how to solve this.
We need to start by defining the two most common translations (also known as shifts).
Horizontal translation:
For a given function f(x), an horizontal translation of N units is written as:
g(x) = f(x + N)
where if N is positive, the translation is to the left.
If N is negative, the translation is to the right.
Vertical translation:
For a given function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N
Where if N is positive, the translation is upwards.
If N is negative, the translation is downwards.
Here for an unknown function f(x), we want to write the equation that gives a shift up of 4 units and left by 2 units.
The shift up of 4 units is written as:
g(x) = f(x) + 4
The shift of 2 units to the left is written as:
g(x) = f(x + 2)
These two together give:
g(x) = f(x + 2) + 4.
This is the equation we wanted to get.
If you want to learn more, you can read:
https://brainly.com/question/24401156
