let x be the price before the discount
If you get 12% off, then you only pay the remaining 88% (since 88%+12% = 100%). This means if you take 88% of the original price (x), then you get the final price (132)
In terms of an equation, we have,
88% of (original price) = final price
(88/100)*(x) = 132
0.88*x = 132
0.88*x/0.88 = 132/0.88 <--- divided both sides by 0.88
x = 150
--------------------------------------------
Answer: The price without the discount is $150
Write the equation of the line parallel to the given line and passing through the given point. y=x+5 through (8,1)
kind of struggling, can anyone help?
Mario is making dinner for nine people. Mario by six containers of soup. Each container is 18 ounces. If everyone gets the same amount as to how much to put each person get? How can you solve a simpler problem to help you find a solution?
Amount of soup in each container = 18 ounces
Total number of containers of soup = 6 containers
So, total amount of soup in 6 containers = [tex]6 \times 18[/tex]
= 108 ounces
Total amount of soup for 9 people = 108 ounces
So, amount of soup for 1 people = [tex]108 \div 9[/tex]
= 12
So, each person will get 12 ounces of soup.
twice the larger of 2 consecutive integers equal 15 less than 3 times the smaller
Answer:
the two integers are 17 and 18
Step-by-step explanation:
Let x represent the smaller integer. Then x+1 is the larger. The problem statement tells us
... 2 × larger = -15 + 3 × smaller
... 2(x+1) = -15 + 3x . . . substitute variable expressions for 'larger' and 'smaller'
... 2x +2 = 3x -15 . . . . . eliminate parentheses
... 17 = x . . . . . . . . . . . . .add 15-2x
The smaller integer is 17, so the larger is 18.
_____
Check
2×18 = 36 = 3×17 -15 = 51-15
Let's take the first number as 'x' ( This would be the smaller number )
Let's take the second number as 'x+1' ( This would be the larger number )
I have taken x and x+1 because both these numbers are consecutive.
Twice the larger number :-
... 2 ( x + 1 )
... 2x + 2
15 less than thrice the smaller number :-
... 3x - 15
The question states that these both values are equal. Hence,
... 2x + 2 = 3x - 15
... 2 + 15 = 3x - 2x
... 17 = x
The value of 'x' is 17
( The smaller number is 17 )
Larger number :-
... x + 1
... 17 + 1
... 18
Hence, the numbers are 17 and 18.
Hope my answer helps!!
What is the equation of this graphed line? Enter your answer in slope-intercept form in the box. -6,-3 6,-7
Answer:
[tex]y = \frac{1}{3}x - 1[/tex]
Step-by-step explanation:
Let the gradient be calculated as follows:
slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
= [tex]\frac{-7-(-3)}{6-(-6)}\\ = -\frac{1}{3}[/tex]
to find the equation passing through the point we calculate as follows:
[tex]- 3= \frac{1}{3} (-6) + b\\ -1 = b[/tex]
Therefore, the equation of the line is:
[tex]y = \frac{1}{3}x - 1[/tex]
An equation of this graphed line in slope-intercept form is [tex]y=-\frac{1}{3} x-5[/tex].
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-7 - (-3))/(6 - (-6))
Slope (m) = -1/3.
At data point (6, -7) and a slope of -1/3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
[tex]y-(-7)=-\frac{1}{3} (x-6)\\\\y+7=-\frac{1}{3} (x-6)\\\\y=-\frac{1}{3} x-5[/tex]
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If 2 rectangles have the same perimeter do they have to he congruent
Hey there!
Your answer is no.
I'll give an example to prove this wrong for you.
We have one rectangle with the dimensions of 2 x 6 units and another rectangle with dimentions of 4 x 4 units.
The perimiter of the first one is 16 because the four sides added up is 16: 2 + 2 + 6 + 6 = 16
The perimiter of the second is also 16. 4 + 4 + 4 + 4 = 16
So, they both have the same perimeter, but they are not congruent because their sides are different lengths.
Hope this helps!
During a sparsely attended basketball game, 18 spectators cheered when Luca made two free throw shots, 6 spectators booed, and 32 spectators were silent. What's a simplified ratio of the number of spectators who cheered for Luca to the number of people who attended the game?
Answer:
9/28
Step-by-step explanation:
There are a total of 18+6+32 = 56 spectators.
Out of this total number, 18 cheered for Luca; this gives us the ratio
18/56.
Both of these are even numbers. This means we can divide both by 2:
(18÷2)/(56÷2) = 9/28
Conner opens a new savings account and decides to deposits $100 on the first day of each month into the account which earns 1.0% interest each month. How much is in the account to the nearest dollar, right after Conner makes his last deposit on the first day of the sixth year (the 61st month)?
Given:
monthly deposit, A=100
rate of interest, i = 1% per month = 0.01 per period
compounding period = 1 month (assumed).
Total payments :
n=60 payments of $100 at the end of the month (beginning of the next month) +
1 payment at the beginning of the first month.
Future value after 60 months
= amount due to 60 monthly payments at end of month + value of first payment
= A((1+i)^n-1)/i + A*(1+i)^60
=100(1.01^60-1) + 100(1.01^60)
= 8166.967 + 181.670
= 8348.64 (to the nearest cent)
Answer:
8348.64
Step-by-step explanation:
What is the decimal expansion for 1/9
The decimal expansion of 1/9 is 0.1111..., which continues indefinitely. This is achieved by dividing the numerator (1) by the denominator (9). The decimal expansion of a fraction is the expression of that fraction in base 10 notation.
Explanation:The decimal expansion of the fraction 1/9 is 0.1111.... This is achieved by dividing the numerator (1) by the denominator (9). The process of long division would show you that 9 doesn't go into 1, so you add a decimal point and a zero, making the dividend 10. 9 goes into 10 once, so you put a 1 in the quotient above the line. This process repeats itself due to the nature of the divisor 9 and the decimal 0.1111... continues indefinitely.
It's important to note that the decimal expansion of a fraction is an expression of that fraction in base 10 notation. In other words, it is the fraction expressed as a decimal.
For some numbers, this can be a finite number of digits long, and for others, like 1/9, it can be infinitely repeating.
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There 10 less red skittles than orange skittles in the bag. The orange skittles are also twice the number of red skittles. Find the number of red and orange skittles in the bag
Answer:30
Step-by-step explanation:
20+10=30
[tex] \frac{4}{9}x = \frac{1}{6} [/tex]
What is the perimeter of the park?
We are given a triangle with dimensions of the three sides as :
first side: 10x+3x²-8 feet
second side: 12x feet
third side: (15x+4) feet
Now perimeter of triangle is given by:
Perimeter = sum of three sides
So adding the three sides:
Perimeter = 10x+3x²-8 + 12x +15x+4
combining like terms and simplifying:
Perimeter = 3x²+37x-4
Answer: The perimeter of park will be (3x²+37x-4) feet.
5x-x/y when x=4 and y=2
5x-x/y when x=4 and y=2
5(4)-4/2
20-2
18
40 points!
What creates the convection current inside Earth?
A. Rising and sinking of material
B. Sideways movement material
C. Warming of material as it rises up
D. Cooling of material as it sinks down
Hello...
What creates the convection current inside Earth?
A. Rising and sinking of material
Answer: A. Rising and sinking of material.
Step-by-step explanation:
Convection currents are caused by the cooling of material as it rises up, which leads to the same material to sink. This material then warms as it sinks to rise again. This is why we call them convection currents. Because they both rise, and sink, in a circular motion we call the convection current.
One warehouse had 185 tons of coal, another one had 237 tons. The first warehouse delivered 15 tons of coal to its clients daily, the second one delivered 18 tons of coal to its clients daily. In how many days will the second warehouse have 1.5 times more coal than the first one? I NEED THIS IN 5 MINS
Given
One warehouse had 185 tons of coal, another one had 237 tons
The first warehouse delivered 15 tons of coal to its clients daily, the second one delivered 18 tons of coal to its clients daily.
Find out in how many days will the second warehouse have 1.5 times more coal than the first one.
To proof
Let us assume that the number of days of delivered the coal = x
Take two cases
First case
As given in the question
One warehouse had coal = 185 tons
The first warehouse delivered 15 tons of coal to its clients daily
(As first warehouse delivered 15 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)
Than the equation becomes for first warehouse
= ( 185 - 15x)
( this equation represent the amount of coal left after x days)
Second case
second warehouse had coal = 237 tons
the second one delivered 18 tons of coal to its clients daily.
(As first warehouse delivered 18 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)
Than the equation becomes for the second warehouse
= ( 237 - 18x)
( this equation represent the amount of coal left after x days)
As given in the question
the second warehouse have 1.5 times more coal than the first one
Thus
( 237 -18x ) = 1.5× ( 185 - 15x)
237 - 18x = 277.5 - 22.5x
22.5x - 18x = 277.5 - 237
4.5x = 40.5
x = 9
Therefore the second warehouse have 1.5 times more coal than the first one in 9 days.
Hence proved
a wheel has 16 spokes. How many spaces are there between the spokes?
How to solve the equation:8y + 3y= 44
Add 8y+3y=11y
Divide 44/11y=4
Answer= 4
The solution to the equation 8y + 3y = 44 is y = 4.
To solve the equation 8y + 3y = 44, we can combine like terms and solve for y:
Combine like terms on the left side:
8y + 3y = 44
Simplify:
11y = 44
Divide both sides by 11:
11y/11 = 44/11
Simplify: y = 4
Therefore, the solution to the equation 8y + 3y = 44 is y = 4.
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EASY POINTS BRAINLIEST
Which answers are examples of the Law of Syllogism?
Select each correct answer.
I will meet my friends at the park if I complete my chores. If I meet my friends at the park, we will go to the duck pond. Therefore, if I complete my chores, we will go to the duck pond.
If a book is a biography, it is nonfiction. Bill is reading a biography. Therefore, the book that he is reading is nonfiction.
All mammals have kidneys. A dog is a mammal. Therefore, a dog has kidneys.
If Bob reads the book, then he will be prepared for the test. If Bob is prepared for the test, then he will get a good grade. Therefore, if Bob reads the book, he will get a good grade.
Answer:
The answers are: A and D (for anyone else looking for answers)
I will meet my friends at the park if I complete my chores. If I meet my friends at the park, we will go to the duck pond. Therefore, if I complete my chores, we will go to the duck pond.
If Bob reads the book, then he will be prepared for the test. If Bob is prepared for the test, then he will get a good grade. Therefore, if Bob reads the book, he will get a good grade.
I just took the test and my correct answers are in the screenshot below :-)
Hopefully its not too late for brainliest!
Consider that x = −5 and y = −4. Which statement is true about x + y? A) The sum of x and y is a rational number. B) The sum of x and y is an imaginary number. C) The sum of x and y is an irrational number. D) The sum of x and y is neither rational nor irrational.
Your answer is A. The sum of x and y is a rational number .
Answer:
A) The sum of x and y is a rational number.
Step-by-step explanation:
We will first prove that the given values of x and y are rational and then we will prove the fact that the sum of two rational numbers is a rational number.
A rational number is a number which is in the form [tex]\frac{p}{q}[/tex], where p and q are integers and q ≠ 0.
We can write - 5 as [tex]\frac{-5}{1}[/tex] and clearly 1 ≠ 0.
So, x = -5 is a rational number.
Similarly, y = -4 is also a rational number.
For the second part of the proof, consider any two rational numbers [tex]\frac{p}{q}[/tex] and [tex]\frac{r}{s}[/tex].
Now,
[tex]\frac{p}{q} +\frac{r}{s} =\frac{ps+rq}{qs}[/tex]
Since p, q, r and s are integers, ps + rq is also an integer.
Moreover, since q ≠ 0 and s ≠ 0, qs ≠ 0.
Therefore, [tex]\frac{ps+rq}{qs}[/tex] is also a rational number.
Hence, sum of two rational numbers is also a rational number.
Since x = -5 and y = -4 are rational numbers, x + y = (-5) + (-4) = -9 is also a rational number.
Teresa says she stacks about 7 dishes by hand every minute.
What line represents Teresa’s statement?
Line a
Line b
Line c
Line d
What is the slope of the line and what does it mean in this situation?
What is the slope of the line and what does it mean in this situation?
The slope is –2000 . This means that the helicopter descends 2000 ft each minute.
The slope is –400 . This means that the helicopter descends 400 ft each minute.
The slope is 400. This means that the helicopter ascends 400 ft each minute.
The slope is 2000. This means that the helicopter ascends 2000 ft each minute.
Line D Represents Teresa's statement
I think the slope could be choice 4 The slope is 400ft This means that the Helicopter ascends 400ft a minute
Members of a junior high basketball team want to brag about how tall they are. First, they measured each player’s height in inches. Now they have to decide whether the mean or the median is better. Which measure of center should the team use? Basketball team’s height (in inches) 64, 67, 83, 65, 66, 62, 69
First to find the median we need to put the numbers in order from least to greatest.
62, 64, 65, 66, 67, 69, 83
Now take a number from each side
64, 65, 66, 67, 69
Once again.
65, 66, 67
On last time
66
So the median is 66.
Now to find the mean we must add all the numbers up
64+67+83+65+66+62+69
which equals 476
Now divide 476 by the total number of heights which is 7
476/7=68
So the mean is 68
Answers: Mean; 68 Median; 66
Answer:
it's 68,66, and mean
Step-by-step explanation:
i did it on edge mu hehehehehehe
HURRY!
Reduce the following fraction: -32abc/64a2bc3
-1/32ac2
You want to cancel out the -32 on the top with the 64 on the bottom leaving -1. Then do the same with the variables.
a person who weigh 200 pound on earth would weght about 32 pound on the moon find the weght of person on earth who would weight 15 pound of the moon
The sequence is 3,6... is multiplying by 2 correct or adding 3?
The sequence is adding by three
your answer is multiplying by 2
What is 2⁴ x 2³ x 2⁶ simplified?
8192, 16 x 8 x 64, 24 = 16, 26= 64, 23= 8
Hey there!
[tex]2^4[/tex] [tex]= 16[/tex]
[tex]2^3[/tex] [tex]= 8[/tex]
[tex]2^6[/tex] [tex]= 64[/tex]
____________________________________________________________
[tex]16(8)[/tex] [tex](64)[/tex]
[tex]16(8)[/tex] [tex]= 128[/tex]
[tex]128(64)[/tex] [tex]= 8192[/tex]
Answer: [tex]8,192[/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
PLEASEE Can someone help with this? Look at picture
Answer:
Step-by-step explanation:
Answer is 72 cm2.For step by step explanation please find the attachment.
What fraction of 20 is 18?
Remark
You have to read this carefully to know what way to write it.
One way you could write it would be
20 * x = 18 where x is the fraction. Now all you need do is divide.
Divide both sides by 20
20/20 * x = 18/20
[tex]\text{x = } \dfrac{18}{20}[/tex]
But you should reduce this fraction. The way to do that is to factor 18 and 20 into primes.
18: 2 * 3 * 3
20: 2 * 2 *5
Cancel out the Highest common factor or 2.
You are left with
[tex]\text{x = } \dfrac{18}{20} =\dfrac{2*3*3}{2*2*5}=\dfrac{3*3}{2*5} = \dfrac{9}{10}[/tex] <<<< Answer
★ What fraction of 20 is 18?
In questions like these, when you see the word "of", it is usually used for the denominator. In your question, it says "of 20". That means the denominator will be 20.
Here is your current fraction:
[tex]\frac{x}{20}[/tex]
After that phrase, it says "is 18". The word "of" is used for the numerator. That means the numerator is 18.
Here is your fraction:
[tex]\frac{18}{20}[/tex]
You have your complete fraction, but it can be simplified. Both numbers are even(numbers that end with 2, 4, 6, 8, or 0) and every even number is divisible by 2. You can just divide both numbers by 2.
[tex]\frac{18 \div 2}{20 \div 2} = \frac{9}{10}[/tex]
You have your simplified fraction, which is [tex]\frac{9}{10}[/tex], and it cannot be simplified any further.
Your answer is [tex]\frac{18}{20}[/tex] which becomes [tex]\frac{9}{10}[/tex] when simplified.
If you have any questions, feel free to ask in the comments! :)
which soil can not be rolled up into balls or clumps
Sand
Because as you may be able to see it just goes through your fingers.
For example if you go to the beach and pick up a handful of sand, then let go. It will most likely fall out of your hands.
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show and tell why this is true: the square root of 4 times 9 equals the square root of 4 times the square root of 9. PLEASE HELP QUICK 15 POINTS
because the square root of 4 is 2 and the square root of 9 is 3 which means 2x3=6 and 9x4=36 and the square root of 36 is 6 because 6x6=36
Please help don't guess
So, just divide:
52.50 / 6 = 8.75
This means that she earns $8.75 an hour.
If this is her hourly salary, then multiply 8.75 x 11
8.75 x 11 = 96.25
So, if Paula works for 11 hours, she will earn $96.25!
Remark
I think you can only do this either as a 2 step question or as a proportion. The easiest way is the proportion.
Proportion
6 hours / 52.50 = 11/x Cross multiply
6*x = 52.50 * 11 Combine the factors on the right
6x = 577.5 Divide both sides by 6
6x/6 = 577.5/6
x = 96.25 Answer