what is the reciprocal of 15 1/4
The reciprocal of 15 1/4 is 4/61
Step-by-step explanation:
15 1/4 multiply 15 by 4 and then add 1 it will give you 61/4 then you change into reciprocal which will be 4/61
Please help!! I’ve tried to answer this but I’m off a few cents every time.
Megan’s aunt have her a $100 gift card to Toys R Us for her birthday. Determine the price of the most expensive toy that Megan can buy with this gift card if the sales tax is currently 9.8%
Answer:
$91.07
Step-by-step explanation:
You cannot take off 9.8% from $100 to find the answer, since 9.8% of $100 is more tax than she will pay. The toy has to cost less than $100, so that when you add 9.8% tax the price you end up with exactly $100, and 9.8% of under $100 is less that 9.8% of $100. Maybe this is why you are a few cents off.
This is how you do it.
The price of the toy is unknown, so we'll cal it x.
When you add 9.8% tax to x, you want to end up with exactly $100.
x + 9.8% of x = 100
Write 9.8% as a decimal by dividing the percent by 100.
9.8% = 9.8/100 = 0.098
Now we have:
x + 0.098x = 100
Add like terms on the left side:
1.098x = 100
Divide both sides by 1.098:
x = 100/1.098
x = 91.07
Answer: The most expensive toy she can get costs $91.07 before tax.
Check:
We now add 9.8% tax to $91.07 and make sure the total cost including tax is no more than $100.
$91.07 + 9.8% of $91.07 =
= $91.07 + 0.098 * $91.07
= $91.07 + $8.92
= $99.99
It seems that you could try to spend one more cent, to really get to the $100 limit, so let's try $91.08 as the most expensive toy she can buy.
We now add 9.8% tax to $91.08 and see what the total cost including tax is.
$91.08 + 9.8% of $91.08 =
= $91.08 + 0.098 * $91.08
= $91.08 + $8.93
= $100.01
You see that if Megan gets a $91.08 toy, with tax, the total cost is $100.01, which is over the $100 limit, so the answer is indeed $91.07.
The length of a rectangle is four times its width. If the perimeter of the rectangle is 80m , find its length and width.
Answer:
Width = 8 m
Length = 32 m
Step-by-step explanation:
Width = w
Length = 4w
Perimeter = 80 m
2*(length +width) = 80
2 *(4w +w ) = 80
2* 5w = 80
10w = 80
w = 80/10
w = 8 m
Width = 8 m
Length = 4 * 8 = 32 m
If I spent $3.87 on grapes at Tom Thumb and I bought 3.05 pounds. How much was each pound?
(round to the nearest hundredths place because it is money)
Answer:
$1.26 or $1.27 depending on whether you round up or down. The number in the thousandths is an 8 though
Step-by-step explanation:
You would divide 3.05 by itself to get one pound
and then 3.87 by 3.05. You have to divide both numbers so you get the number for one pound.
3.87÷3.05=1.268852459
Round up or down depending on what your teacher would want you to do so that the decimal is in the hundreths like money.
Evaluate the following expressions.
1. |2x + 7| + |1 - 2x^2| - 4x, given x = 3
Answer:
It should be -8 please let me know if I am right
Step-by-step explanation:
(2*3+7)+(1-2*3^2)-4*3
(6+7)+(-3^2)-12
13+-9-12
=-8
What value of x that satisfies the equation 7/n=8/7
Gina buys 4 packs of stickers for her scrapbook there are 9 stickers in each pack each page in the scrapbook holds 6 stickers how many pages does Gina need for these stickers
Answer:
total stick she has = 9*4 = 36
6 sticker is need in 1 page
so page required for 36 stickers = 36/6 = 6pages
Step-by-step explanation:
Given that Cheryl is collecting data on car color, what type of data is she working with?
a. qualitative
b. discrete quantitative
c. continuous quantitative
d. none of the above
What is the value of -42 +(5-2)(-6)?
Answer:
-60
Step-by-step explanation:
-42+3×(-6)
-42-(3×6)
-42-18
-60
choose the congruent angles on the triangle shown below
Answer:
I think it would be angles A and B.
Hope this helps!
Which statement is NOT true? Select all that apply 4.913 is less than 4.931 8.001 is greater than 8.002 5.63 is equal to 5.630 7.831 is less than 7.809 10 5 is equal to 100,000
70.4 is what percent of 88?
Answer:
70.4 is 80% of 88
Some number added to 17
2. When people decide what makes a fair trade, like exchanging 2 chickens for 2 sheep, they are
(1 point)
Onegotiating
O exporting
O importing
O rating
Answer:
negotiating
Step-by-step explanation:
negotiating
Answer:
B. negotiating
Step-by-step explanation:
Evaluate the expression |- 178|
Answer:
178
Step-by-step explanation:
PLEASE ANSWER ILL GIVE YOU BRAINLIST AND A THANK YOU! Question: 20.155 rounded to the nearest tenth
It wont let me just put the number
20.2
Answer:
20.2
Step-by-step explanation:
because 155 can be rounded to 200 and you can take the zeros off
Steve is recording the temperature of an object on Celsius and Fahrenheit scales. Relationship between the two scales is given by F = 1.8 ⋅ C. Steve will plot the Celsius readings along the y-axis and the Fahrenheit readings along the x-axis.
True or false?
Answer: FALSE
Step-by-step explanation:
1. -x divided by 11
2. z multiplied by - 5
working pls
Answer:
1. [tex]-x \div 11 = \frac{-1}{11}x[/tex]
2. [tex]z \times -5 = -5x[/tex]
Hope this helped you!
Why is it useful to write a ratio of fractions as a unit rate?
Answer:
When a ratio is written in fraction form, the fraction should be simplified. If it is an improper fraction, we do not change it to a mixed number. Because a ratio compares two quantities, we would leave a ratio as 41 instead of simplifying it to 4 so that we can see the two parts of the ratio.
Demi traveled 480 miles in 6 hours. What was her average speed in miles per hour?
Find the complement of the set given that U = {3, 4, 5, 6, 7, 8, 9, 10, 11). (Use the roster method to write the set. Enter EMPTY or for the empty set.)
{5, 7, 9, 10)
Answer:
(3, 4, 6, 8, 11)
Step-by-step explanation:
The complement of a set are elements of a universal set that isn't present in the given set.
The universal set is U = {3, 4, 5, 6, 7, 8, 9, 10, 11)
[tex]\left \{ 3,4,6,8,11 \right \}[/tex]
A set is a well-defined collection of objects.
The collection of all items in a certain context or theory is known as a universal set.
The complement of a set is the set that contains all of the universal set's elements that aren't found in the provided set.
[tex]U=\left \{ 3,4,5,6,7,8,9,10,11 \right \}[/tex]
Let [tex]A=\left \{ 5,7,9,10 \right \}[/tex]
Complement of set is [tex]\left \{ 3,4,6,8,11 \right \}[/tex]
For more information:
https://brainly.com/question/2332158?referrer=searchResults
a. {1, 2, 3, 4, 5} = {x | x E N and x < 5}
True or False
Answer:
true
i just anwwsered this one in my lessons
The set of values that makes an equation true is called
Answer:
Step-by-step explanation:
A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. The solution set of 2y + 6 = 14 is {4}, because 2(4) + 6 = 14.
Answer:
Solution
Step-by-step explanation:
To make the equation true, you need to have proof that it is correct. Therefore, a solution.
If two opposite sides of a square are increased by 8 meters and the other sides are decreased by 5 meters, the area of the rectangle that is formed is 68 square meters. Find the area of the original square.
Answer:
21
Step-by-step explanation:
8 * 2 = 16
5 * 2 = 10
68 - 16 = 52 - 10 = 42.
The perimeter of the square is 42.
42 / 4 = 10.5. 10.5 is the length of a side.
10.5 * 2 = 21.
To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]7.5d = 2.5d[/tex]
Analyzing Lin's
[tex]\frac{7.5d}{2.5d} = \frac{2.5d}{2.5d}[/tex]
[tex]3 = 1[/tex]
This isn't a solution because [tex]3 \neq 1[/tex]
Analyzing Elena's
[tex]7.5d - 2.5d= 2.5d-2.5d[/tex]
[tex]5d = 0[/tex]
Divide through by 5
[tex]d = 0[/tex]
Hence;
Going by the analysis above; only Elena's move will lead to a solution
. 4 1/5÷2/3 Express your answer as a mixed number in simplest form. Enter your answer in the box.
Answer:
6 3/10.
Step-by-step explanation:
4 1/5 = 21/5
21/5 / 2/3
=21/5 * 3/2
= 63/ 10
= 6 3/10.
2
If A=
4 3
find A1 using
elementary row operations.
Answer: [tex]A^{-1}=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right][/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{cc}2&1\\4&3\end{array}\right]=\left[\begin{array}{cc}1&0\\0&1\end{array}\right][/tex]
[tex]\dfrac{1}{2}Row\ 1\rightarrow\left[\begin{array}{cc}1&\frac{1}{2}\\4&3\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\0&1\end{array}\right][/tex]
[tex]Row\ 2 -4 \ Row\ 1\rightarrow \left[\begin{array}{cc}1&\frac{1}{2}\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\-2&1\end{array}\right][/tex]
[tex]Row\ 1-\dfrac{1}{2}\ Row\ 2 \rightarrow \left[\begin{array}{cc}1&0\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right][/tex]
IS -13 LESS THAN OR GREATER THAN 14
HELP PLZ
what is the formula to convert from Fahrenheit to celcius
(32°F − 32) × 5/9 = 0°C
can someone help me
Answer:
measure k is also 50 degrees