Answer:
1. 25/24
2. 7/6
3. 4/3
4. 6/8 or 3/4
5. 5/4
1. 1
2. 1/4
3. 2/10 or 1/5
4. 7/3
5. 13/6
Erin finds 5% sales tax for a shirt that costs $21. She calculates the tax as
0.05 * 21 = 1.05 or $1.05.
Erin notices that she can add 21 + 1.05 = 22.05 to find the total cost, $22.05.
She uses the Distributive Property to write (1 * 21) + (0.05 * 21) = 1.05 * 21.
For each item, write the total cost of
the item as the product of two
numbers.
Tax
1.05 x 21
a.
b.
c.
d.
Item Name Price Tax Rate
shirt
$21.00 5%
bicycle $45.90 7%
shoes
$67.50 6%
laptop $299.99 8%
$39.95 4%
Credit Debit Subtotal
Check Cash
Tax
Order total
Print Receipt Cash
video game
$474.34
Answer:
Step-by-step explanation:
a. Bicycle (1.07 x 45.90)
b. Shoes (1.06 x 67.50)
c. Laptop (1.08 x 299.99)
d. Video Game (1.04 x 39.95)
Find the perimeter. Simplify your answer.
Answer:
P = 2w - 10
Step-by-step explanation:
To solve this problem use the perimeter formula [tex]P=2l+2w[/tex]
So here we have 1 as the width and w-6 as the length [tex]P=2(w-6) + 2(1)[/tex]
So we multiply 2(w) 2(-6) to get 2w-12
So because 2 times 1 is 2 the perimeter would be [tex]P=2w-12 + 2[/tex]
Simplified would be [tex]P=2w-10[/tex]
because -12 + 2 = 10
Hopes this helps
The product of 7 and a number is greater than 42. If the number is a whole number less than 10 , what could the number be?
Answer:
8 or 9
Step-by-step explanation:
Your primary equation that they gave you is ?b and has to be greater than ?a 7 x ?a =42
So your answer to ?a is 7 because 7 x 7 =42 therefore your answer to ?b has to be 8 or above.
the next part of your problem states that it is a whole number UNDER 10.... this limits your possible answer to either 8 or 9.
Please help I need to show my work
Check the number or numbers that are in the solution set of the equation
below.
7x > 42
A. 14
B. 5
C.35
D. 6
E. 12
F9
Answer:
A, C, E, F
Step-by-step explanation:
when you multiply the numbers with 7 the answer is greater than 42
WILL GIVE BRAINLISET
Find the equation of the straight line parallel to the y-axis and pass through the point (-2, 3). _____
4) A company manufactures widgets. The expense function E=8q+12,000 and the
demand function q= -10p +20,000, where p is the price.
a. Express the variable expense V in terms of q, where q is the quantity of widgets
produced
b. Express the total expenso E in terms of p.
c. Determine the Revenue R in terms of p. (Hint: R=p•q).
d. Determine the profit P in terms of p. (Hint: P=R-E).
e. Determine the price that will yield the maximum profit. (Hint: x = -b/2a).
f. Determine the maximum profit.
Revenue, profit and expenses are all integral parts of a company's balance sheet
The expense in terms of q is [tex]\mathbf{E = 8q + 12000}[/tex]The expense in terms of p is [tex]\mathbf{E = -80p + 172000}[/tex]The revenue in terms of p is [tex]\mathbf{R = -10p^2 + 20000p}[/tex]The profit in terms of p [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]The price that yields the maximum profit is $1004The maximum profit is $9908160The expense function is given as:
[tex]\mathbf{E = 8q + 12000}[/tex]
The demand function is given as:
[tex]\mathbf{p = -10p + 20000}[/tex]
(a) The expense in terms of q
This is already given as: [tex]\mathbf{E = 8q + 12000}[/tex]
(b) The expense in terms of p
Substitute -10p + 20000 for p in [tex]\mathbf{E = 8q + 12000}[/tex]
[tex]\mathbf{E = 8(-10p + 20000) + 12000}[/tex]
Expand
[tex]\mathbf{E = -80p + 160000 + 12000}[/tex]
[tex]\mathbf{E = -80p + 172000}[/tex]
(c) The revenue in terms of P
This is calculated as:
[tex]\mathbf{R = p \times q}[/tex]
So, we have:
[tex]\mathbf{R = p \times (-10p + 20000)}[/tex]
Expand
[tex]\mathbf{R = -10p^2 + 20000p}[/tex]
(d) The profit in terms of p
We have:
[tex]\mathbf{R = -10p^2 + 20000p}[/tex] and [tex]\mathbf{E = -80p + 172000}[/tex]
So, the profit P is calculated as:
[tex]\mathbf{P =R - E}[/tex]
This gives
[tex]\mathbf{P =-10p^2 + 20000p +80p - 172000}[/tex]
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
(e) The price that yields maximum profit
In (d), we have:
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
The maximum price is calculated using:
[tex]\mathbf{p = -\frac{b}{2a}}[/tex]
Where:
[tex]\mathbf{b =20080}[/tex]
[tex]\mathbf{a = -10}[/tex]
So, the equation becomes
[tex]\mathbf{p = -\frac{20080}{2 \times -10}}[/tex]
[tex]\mathbf{p = 1004}[/tex]
Hence, the price that yields the maximum profit is $1004
(f) The maximum profit
In (e), we have: [tex]\mathbf{p = 1004}[/tex]
Substitute 1004 for p in [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
[tex]\mathbf{P =-10(1004)^2 + 20080(1004) - 172000}[/tex]
[tex]\mathbf{P =9908160}[/tex]
Hence, the maximum profit is $9908160
Read more about revenue, expenses and profit at:
https://brainly.com/question/23103804
Nathan has a collection of 4,324 toy cars? Him and his friend Nashon divide the cars into rows on Nathan’s
driveway, and they end up with 46 rows. Each row has the same number of cars in it. How many cars are in each
row?
What is 5796÷25 show working
Answer:
231.84
Step-by-step explanation:
I don't know but use a calculator
7.6.1 Determine the new dimensions of the follo figures below given the scale factor: 1 Scale Factor of 1/4 4 U! 6 15 in 12 in
Answer: at least 2
Step-by-step explanation: idek
Help me guys!
Fill in the table using this function rule.
y = -2x+3
−56z+28minus, 56, z, plus, 28?
Answer-
Not quite sure what your asking but the if I understood correctly the answer is -122z+56
Answer:
−112z+56
Step-by-step explanation:
−56z+28−56z+28
Combine −56z and −56z to get −112z.
−112z+28+28
Add 28 and 28 to get 56.
−112z+56
Please Pleaseee help...will make the brainliest
Answer:
A and F.
Explaination:
A color printer prints 10 pages in 3 minutes.
How many minutes does it take per page?
Answer:
3.3 secs
Step-by-step explanation:
divide the pages by the minutes
PLEASE HELP
1/3(9×+16+2)+2x
×-3+7(×+3)-3×-12
USE TWO DIFFERENT METHODS TO EXPAND 1/4(×+2×+16-8)
Answer:
Multiply 1/3 with the numbers in the parenthesis and evaluate
Step-by-step explanation:
Which function represents a reflection of f(x)=3/8
(4) across the y-axis?
O g(x) = - a)
O g(x) = - 3 (4%
o g(x) = (4)
O g(x) = 2 (4)*
—
Answer:
Step-by-step explanation:
Reflecting a function across the Y axis means replacing x with -x.
First one could *almost* work, if there wasn't the minus sign at the beginning, so it's a no.
Second one is also a no, the original one is always positive, the second one is always negative.
3rd one is reflecting the graph all right, but it's also adding some sort of stretch (try with the point x=1 in both cases, [tex]f(1) = \frac 32[/tex] while [tex]g_3(1) = 2/3[/tex]
4th one is the charm.
The function that represents a reflection of f(x) = (3/8) 4^x across the y-axis is [tex]g(x) = (3/8) 4^{-x}.[/tex]
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To reflect the function f(x) = (3/8) 4^x across the y-axis, we need to replace x with -x in the function.
This will cause the function to be reflected across the y-axis.
So,
The function that represents the reflection of f(x) = (3/8) 4^x across the y-axis is:
g(x) = (3/8) 4^(-x)
We replaced x with -x in f(x) and simplified to obtain g(x).
Therefore,
The function that represents a reflection of f(x) = (3/8) 4^x across the y-axis is [tex]g(x) = (3/8) 4^{-x}.[/tex]
Learn more about functions here:
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100 IF U GET THIS RIGHT!
Answer:
y-intercept: 3/7
Step-by-step explanation:
Our equation: y = mx + b
Given equation: y = 6x + 3/7
Now, let's compare:
y = mx + b = y = 6x + 3/7
We can tell that the y intercept is b, which is 3/7
Hoped this helped.
Answer:
y-intercept: 3/7
Step-by-step explanation:
solve pls brainliest
Answer:
64in
Step-by-step explanation:
v=L×W×H
= 4×4×4
= 16 ×4
= 64in²
Solve for x please. I need step-by-step explanation. Thank you.
Step-by-step explanation:
[tex](7x)^x=7^{7^7}[/tex]log both sides:
[tex]log_7(7x)^x=log_7(7^{7^7})[/tex][tex]xlog_7(7x)=7^7[/tex][tex]x(1 +log_7x) = 7*7^6[/tex][tex]x(1 +log_7x) = 7^6(1+6)[/tex][tex]x(1 +log_7x) = 7^6(1+log_77^6)[/tex]Compare both sides to get:
[tex]x=7^6[/tex]or
[tex]x=117649[/tex]Equation -5+2 = -3 5+(-2) = 3 2+(-5)=-3 -3+5=2
Answer:
false
Step-by-step explanation
:
║3x²+x+5║= 5x²- 3x+ 7
Is this what you needed ?
GIVING BRAINLIEST!! (ignore the answer i put i accidentally clicked on it) A line passes through the point (-2, 7) and has.a slope of -5.
What is the value of a if the point (a, 2) is also on the line?
2x=x-4
solve for x
step by step please
2x = x - 4
2x - x = - 4
x = - 4
________
Hope it helps ⚜
Answer:
x=-4
Step-by-step explanation:
2x=x-4
2x-x=-4
x=-4
Proof
2*(-4)=-4-4
-8=-8
help please i dont get it
Answer:
Well apparently you don't know your Alphabet
Step-by-step explanation:
So it is
A.B.C.D.E.F.G.H.I.J.K.
The correct order is ABCH.
What is Order of Letters?Arrangement according to the normal order of the letters in the alphabet.
Given that a puzzle
The correct order of alphabets to reach the key is ABCH.
Hence, the answer is ABCH.
For more references on Order of Letters, click;
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PLEASE HELP ME 20 POINTS
Determine the x- and y-intercepts of the graph of X-4y=8
Answer:
x- intercept = 8 , y- intercept = - 2
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x
x - 4(0) = 8
x - 0 = x
x = 8 ← x- intercept
To find the y- intercept, let x = 0 in the equation and solve for y
0 - 4y = 8
- 4y = 8 ( divide both sides by - 4 )
y = - 2 ← y- intercept
write the ratio in simplest form.
12 DVDS to 10 books.
Answer:
6:5
Step-by-step explanation:
divide both numbers by using gcd/ greatest common divisor
= 12:10/ 2
=6:5
please mark me as brainliest!!! Good luck with your tests!
For A brainly please help me out
Answer: 2, 2
Brainly?
Please help! take a pic and put a dot with the drawing tools on ur snipping tool/snip and sketch. Please i cant fail these questions!
Answer:
x > 7/8 and the picture is below.
Step-by-step explanation:
To find the answer, you plug in the values for x. Nothing less than one in the set of given values, works. 1 works, 9/4 works, and 5/2 works. But everything else doesn't. Or, you could simply divide both sides by 2 to get x alone. That makes x>7/8. Meaning 7/8 doesn't work, but anything above it, does. So you could just look for the ones that are greater than 7/8.
What is 8.798 rounded to the nearest cent
Answer:
For some reason i couldn't add an answer, but it 8.80 because 9 was rounded to 10 and changed the 7 to 8.
Step-by-step explanation:
The length of a rectangle is three times its width.
The perimeter of the rectangle is 24 cm.
Calculate the area of the rectangle.
Answer:
A = 27 cm²
Step-by-step explanation:
let 'w' = width
let '3w' = length
P = 2l + 2w
24 = 2(3w) + 2w
24 = 6w + 2w
24 = 8w
w = 3
l = 3(3) or 0
A = lw
A = 3(9)
A = 27