Find an expression which represents the sum of (10x - 4y) and (4x -8y) in simplest terms.
Answer:
14x - 12y
Step-by-step explanation:
Let's write the sum:
(10x - 4y) + (4x -8y)
Because we're only doing addition and subtractaction, we can drop the parentheses that aren't preceded by a minus sign, they don't change the order.
10x - 4y + 4x - 8y
as long as we don't change the sign preceding each component, we can reorder as we wish
10x + 4x - 4y - 8y
(10x + 4x) - (4y + 8y)
note that because we added a parenthesis preceded by a - the sign inside changed.
We perform additions inside of the parentheses:
10x + 4x = 14x
4y + 8y = 12y
and we arrive at the final result:
14x - 12y
-¼ ( x + 2) + 5 = - x
( this is a multi-step equation)
The value of x after simplfication of equation -¼ ( x + 2) + 5 = - x is -6.
Consider the equation,
( - 1 / 4 ) × ( x + 2 ) + 5 = - x
Now,
( - x / 4 ) + ( - 2 / 4 ) + 5 = - x
( - x / 4 ) - ( 1 / 2 ) + 5 = - x
Now, LCM of 2 and 1 is 2.
Therefore,
( - x / 4 ) + [ ( 10 - 1 ) / 2 ] = - x
( - x / 4 ) + ( 9 / 2 ) = - x
Adding x on both sides of the equation.
( - x / 4 ) + x + ( 9 / 2 ) = - x + x
Subtracting ( 9 / 2 ) from each side of the equation,
( - x / 4 ) + x + ( 9 / 2 ) - ( 9 / 2 ) = ( - 9 / 2)
( - x / 4 ) + x = ( - 9 / 2 )
LCM of 4 and 1 is 4
[ ( - x + 4x ) / 4 ] = ( - 9 / 2 )
( 3x / 4 ) = ( - 9 / 2 )
By cross multiplying,
2 × 3x = - 9 × 4
6x = - 36
Dividing each side of the equation by 6.
( 6x / 6 ) = ( - 36 / 6 )
x = - 6
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What is the value of the digit in the ones place in each number?431
Answer: 1
Step-by-step explanation:
400 is for 4( the hundredths place)
30 is for 3(the tens place)
1 is for 1( the ones place)
Stephen's lunch bill is currently at $843. Stephen orders a fruit salad for take out and wants to leave
$2.25 as a tip for his server. He has a $10 bill and a $5 bill. How much change should he receive after
paying for his lunch, the fruit salad, and the tip?
Answer:
1.63
Step-by-step explanation:
What type of number is 18.62
Answer:
terminating decimal
Step-by-step explanation:
doesn't repeat
A bag contains 5 white marbles, 3 yellow marbles, and 2 black marbles. If you pull out a marble without replacing it, what is the probability of Choosing a white marble and then another white marble
Answer:
four of nine or a 44.444444444444% chance
Fred spent half of his allowance on a game at Target. Then he earned an extra $20 by mowing his grandparents’ lawn. After he did this, he had $30 left. Write an equation to find what Fred's allowance is.
Use X as a variable
The equation to find what Fred's allowance is will be 0.5x + 20 = 30
How to compute the equation?Let the variables be x.
From the information, Fred spent half of his allowance on a game at Target. Then he earned an extra $20 by mowing his grandparents’ lawn. After he did this, he had $30 left.
This will be:
(1/2 × x) + 20 = 30
0.5x + 20 = 30
Therefore, the equation to find what Fred's allowance is will be 0.5x + 20 = 30
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which of the following is equivalent to the radical expression below when x > 0?
Answer:
c Sorry am not sure
Step-by-step explanation:
1.) x + 2x =
Could you help me solve this
Answer:
3x
Step-by-step explanation:
we don't know the value of x and we know we have 3 x's so we just add them together. But if we didn't know what ask for as we would just times that by 3
Use the equation of the line to predict how many worm
Alex needs to feed Edbird in order for him to go the enti
day without correcting her. Input your answer to the
nearest whole worm. Then click done.
Plz answer ASAP!!!!!!
Answer:
33
Step-by-step explanation:
I just did it
Answer: 33
Step-by-step explanation: I got it correct on i-Ready.
Triangle BCD has the following side lengths: BC = 60, CD = 50
Triangle RST has the following side lengths: RS = 11x-4, ST = 70
What is the value of x? (put just the number in the first box)
What is the length of side RS? (put just the number in the second box)
The value of x is 11 and the length of side RS is 117
How to determine the value of x?The given parameters are
BC = 60 and CD = 50
RS = 11x - 4 and ST = 70
Express as a ratio
BC : CD = RS : ST
So, we have
60 : 50 = 11x - 4 : 70
Express as fraction
So, we have
60/50 = (11x - 4)/70
Cross multiply
So, we have
50 * (11x - 4) = 70 * 60
Divide both sides by 50
So, we have
11x - 4 = 84
This gives
11x = 88
Divide both sides by 11
So, we have
x = 11
Substitute x = 11 in RS = 11x - 4
RS = 11 x 11 - 4
Evaluate the product and the sum
RS = 117
Hence, the value of x is 11 and the length of side RS is 117
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Books are on sale for $7. Peter has $30 dollars in his wallet. How many books can he buy?( interpret the remainder)
Answer:
He can buy 4 books with 2 dollars remaining
Step-by-step explanation:
30/7 = 4 R2
Answer: 4 books.
Explanation: First you divide $30 by 7, and you get 4 and 2/7 (2/7 as the remainder) left over. So you can't have 4 and 2/7 books, it has to be a whole number.
Therefore, he can buy 4 books. I hope this helped!
Need help with this will give branliest to the first who answers
First, find the equation
y = F(x) = x +3
Then plug in 2 for x ( you could also go to 2 on the x-axis to find the Y)
F(2) = (2)+3
F(2) = 5
Can someone do 463 ÷ 60 by the standard algorithm
Answer:
7 remainder 42
Step-by-step explanation:
P.S Can I have brainliest?
ASAP!!!!. Given the functions f(x) = 2r-7 and gr)= 5x +9, find the value of x for which fx) g(x).
For f(g(x)) it's f(5x+9)=2r-7
For g(f(x)) it's g(2r-7)=5x+9
2 meters and 20 centimeters = ? millmeters
2 meters and 20 centimeters =2200 millimeters
millimeters are smaller than centimiters and meters so how is is 40 when 2 meters are 2000 millimeters and 20 centimiters are 200 millimeters
10 POINTS
MIDDLE SCHOOL 8TH GRADE MATH
Need some help with this question can anyone please give me the answer?
Pirya can bike 150 meters in 20 seconds at this rate how long would it take her to ride 3000 meters
Answer:
400 seconds
Step-by-step explanation: 150/20=7.5 meters per second
3000/7.5=400 seconds
Answer:
40 seconds
Step-By-Step Explanation:
150 x 20 = 3000
20 x 20 = 40
Answer = 40 seconds
Hope this helps :D
(-17)(-6)
A -23
B 102
C -102
D 2.8
Answer:
haha you are not going anywhere else to say it
Sra. Niccoli used 3/4 cups of sugar, 1/2cup of flour and 2 1/4
cup of chocolate chips to make a batch of cookies. How
many cups of ingredients did she use for her cookies?
What is this division or multiplication and what fractions?
Answer:
3/4+1/4=4/4=1
1+ 1/2=1 1/2 cups
Step-by-step explanation:
a car travaling 9/10 of miles per minute will travel how many miles in 10 minutes
Given points open parentheses minus 2 comma space 3 close parentheses and Syntax error. which expression can be used to find the distance between the two points?
Answer:
well, i think that it's l-2l + l9l
Step-by-step explanation:
hope its right:)
How do you solve this problem-3<=-2x+5<1
Answer:
-1
Step-by-step explanation:
u= a-k-b solve for a
Answer:
a = b + k + u
Step-by-step explanation:
hope this helps
Jason can travel 24 3/4 miles in 1/4 hour. What is his average speed in miles per hour?
Answer:
the answer is 99
Step-by-step explanation:
simply multiple 24 3/4 by 4
Answer:
99 miles per hour
Step-by-step explanation:
(24 3/4) / (1/4) =
99/4 x 4/1 =
396/4 = 99
What is absolute value and why is it always positive?
Answer:
Step-by-step explanation:
An absolute value is the distance a number is from 0 on the number line. So, regardless if it is a negative or a positive number, the distance from that number to 0 will always be positive. For example, -5 is 5 units away from 0, and 5 is also 5 units from zero. They have the same absolute value, even though one is negative and the other is positive.
Answer:
You can describe absolute value as a number's (Negative or positive) distance from zero.
Step-by-step explanation:
Say you have 4 and -4. 4's absolute value is four because it is four number units away from zero. -4 is a negative number but its absolute value would still be positive four because it is still four number units away from zero even though those number units are negative.
Is this a function?
Pam is asked to construct a table with each employee's salary in dollars
and individual income tax in dollars as variables.
Pecan Theatre Inc. owns and operates movie theaters throughout Florida and Georgia. Pecan Theatre has declared the following annual
dividends over a six-year period: Year 1, $16,000; Year 2, $32,000; Year 3, $116,000; Year 4, $126,000; Year 5, $138,000; and Year 6,
$152,000.
During the entire period ended December 31 of each year, the outstanding stock of the company was composed of 20,000 shares of cumulative
preferred 2% stock, $100 par, and 100,000 shares of common stock, $15 par.
Required:
1. Determine the total dividends and the per-share dividends declared on each class of stock for each of the six years. There were no dividends
in arrears at the beginning of Year 1. Summarize the data in tabular form.
Note: If required, round your answers to two decimal places. If the amount is zero, enter "0".
Preferred Dividends
Common Dividends
Total
Dividends
Year
Total
Per Share
Total
Per Share
Year 1
$ 16,000
16,000
0.80
0
0
Year 2
32,000
32,000
1.60
0
0
Year 3
116,000
Year 4
126,000
Year 5
138,000
Year 6
152,000
Solve for x: 6 over x equals 4 over 8 10 12 24 48
Answer:
The answer is 12.
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
i took the test and got it right
people really be asking for entire essays on here.....
Answer:
well they're just copy pasting the questions from their essay response homework so...
Step-by-step explanation: