By combining the like terms, the simpler form of expression -(8a+3b)+10(2a-5b) is 12a-53b
Given,
The expression = -(8a+3b)+10(2a-5b)
Expand the terms
-(8a+3b)+10(2a-5b)= -8a-3b+20a-50b
Combining like terms
-8a-3b+20a-50b = 12a-53b
Hence, by combining the like terms, the simpler form of expression is -(8a+3b)+10(2a-5b) 12a-53b
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need answers quickly pls!!!! :(
Answer:
17
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}9-6\\\end{array}\right]+\left[\begin{array}{ccc}-5-(9)\\\end{array}\right][/tex]
=3+14
=17
Find each product or quotient.
-2.1 . (-3.5)
The product of -2.1. (-3.5) is 7.35
The product of (-2.1 ) and (-3.5) = [tex]-2.1\times-3.5[/tex]
= 7.35
So, the product of (-2.1) and (-3.5) is 7.35.
What is the quotient?The quotient is the number which is produced when we perform division operations on two numbers. Fundamentally, it is the result of the division method. There are four primary wordings utilized within the arithmetic division such as divisor, dividend, quotient and remainder.
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Find the value of x
Step-by-step explanation:
or, x + 65° = 180° [ Being Straight line]
or, x = 180° - 65°
or, x = 115°
Therefore the value of x is 115° .
Now,
or, 4x = 4 × 115° = 460° .
Find the value of x for the given values of a and b .
b=3 x+4 a , for a=-9 and b=12
The value of X in the equation that allows a solution with the values of "a" and "b" is x = 16
What are the equations?An equation is the equality that has mathematical expressions on both sides of it, they can be functions, polynomials or others, there are no limits for them.
Equations can be graphed, just like a function.
We write the given equation
b = 3x + 4a
and we have the values of the coefficients a and b, and these are:
a = -9b = 12We substitute these values in the equation:
b = 3x + 4a
(12) = 3x + 4(-9) :::: We solve the equation
12 = 3x -36
3x = 12 + 36
3x = 48
x = 48/3
x = 16
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solve 6/7x + 15 - 8 = 31
Answer:
Step-by-step explanation:
simplify
6/7x + 7= 31
6/7x+7-7=31-7
6/7x=24
6/7x=24/6/7
28
6/7(28)+15-8=31
24+15-8=31
39-8=31
The Great Pyramid measures 756 feet on each side of the base and the height is 481 feet. Find the volume of the pyramid.
The volume of pyramid is 9.16×10⁷ feet³.
We are given the measure of each side of Great Pyramid, which will be it's length and width. Also, we are given height. The formula for calculation of volume of pyramid is -
Volume = (length×width×height)÷3
Keep the values in formula to find the volume of Great Pyramid
Volume = (756×756×481)÷3
Performing multiplication on Right Hand Side of the equation to find the volume of Great Pyramid-
Volume = 274908816÷3
Solving the Right Hand Side of the equation, by performing division, we get the volume of Great Pyramid -
Volume = 9.16×10⁷ feet³
The volume of Great Pyramid is 9.16×10⁷ feet³.
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The activation energy of a reaction is 133.5 kj, and frequency factor (a) is 8.23 x 1010 sec -1, at what temperature (in celsius) is the rate constant equal to 0.08857 sec-1?
955°C is temperature (in celsius) is the rate constant equal to 0.08857 sec-1.
What is the short definition of activation energy?
The least amount of energy necessary to bring atoms or molecules into a state where they can undergo chemical transformation or physical transport is known as the activation energy .
K = [tex]A . e^{\frac{-Eq}{RT} }[/tex]
logk = logA = Eq/RT
log0.02629 = log5.57 × [tex]10^{10}[/tex] sec-1 - [tex]\frac{125.6 * 10^{3} }{8.314 * T}[/tex]
= log5.57 + [tex]log 10^{10}[/tex] - [tex]\frac{12.56 * 10^{3 J} }{8.314 * T}[/tex]
= log5.57 + 10log10 - 15.10 * 10³ J/T
-1.5483 = 0.7458 + 10 - 15.10 * 10³/ T
-1.5483 = 10.7458 - 15.10 * 10²/T
- 15.10 * 10³/ T = -1.5483 - 10.7458
15.10 * 10³ /T = 12.2941
T = 15.10 * 10³/ 12.2941
= 1228K
= 955°C
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HELP PLS which one is least
Answer:
Option B
Step-by-step explanation:
→ Find the option with the smallest power
Option B
Directions: If the statement is true, circle true. If the statement is false, circle false.
15. √115 is between the integers 10 and 11.
TRUE
FALSE
Determine the slope of the line that contains the given points.
P(-3,-5), Q(-3,-1)
The slope of the line containing (-3,-5) and (-3,-1) is Infinity.
The slope of a straight line can be written as follows,
m = [tex](y_{2} - y_{1} )/(x_{2} - x_{1} )[/tex] equation1
The line is containing the points (-3,3) and (4,3). So, we can write
[tex]y_{2}[/tex] = -1 , [tex]y_{1}[/tex] = -5 , [tex]x_{2}[/tex] = -3 , and [tex]x_{1}[/tex] = -3 .
On substituting the values of variables in equation1, we will get
m = ( (-1)-(-5) ) / ( (-3)-(3) ) = (4/0) = Infinity.
As the slope of a line is Infinity, so we can conclude that the given line is a straight line.
Here:
m = the slope of the line
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) are the first coordinates.
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )are the second coordinates.
The slope of the line containing (-3,-5) and (-3,-1) is Infinity.
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Jim buys a watch by making a $25 down payment and paying 15 installments of $12 each. What is the total cost of the watch?
Which equation represents a line which is perpendicular to the line y = 2x - 5?
Step-by-step explanation:
y = 2x + C
we must want to find C
Find the sum of each finite arithmetic series. 1+4+7+ . . . . . .+31
The sum of finite arithmetic series 1+4+7+ . . . . . .+31 is S(11) = 176
The given arithmetic series is:
1+4+7+ . . . . . .+31
From the above series, we know that:
The first term, a(1) = 1
The last term, a(n) = 31
The common difference, d = 4 - 1 = 3
Recall the formula to find the nth term of an arithmetic sequence:
a(n) = a(1) + (n-1) . d
Substitute a(1) = 1, a(n) = 31, and d = 3:
31 = 1 + (n-1) . 3
31 = 3n - 2
3n = 33
n = 11
In an arithmetic series, the sum of the first n terms is given by:
S(n) = n/2 [ a(1) + a(n) ]
Substitute n = 11, a(1) = 1, and a(n) = 31:
S(n) = 11/2 (1 + 31)
S(11) = 11. 16 = 176
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write an equation for the circle
Suppose a triangle has sides a, b, and c, and let e be the angle opposite the side of length a. If cose < 0, what must be true? O A. a² + b² = ² O B. b² + c²> a² O c. b² + 2² ²
In the given triangle the statement that holds true is [tex]b^2+c^2 < a^2[/tex]. Therefore, the option (c) is the correct option.
What are cosine formulas?In the cosine formulas, the cosine (cos) function is discussed. Consider a right-angled triangle with one acute angle, x. The cosine formula is cosx = (adjacent side) / (hypotenuse), where "adjacent side" refers to the side adjacent to angle x and "hypotenuse" refers to the longest side of the triangle.
As per cosine rule fore given [tex]$\triangle$[/tex]ABC:
[tex]$\cos \theta=\frac{b^2+c^2-a^2}{2 b c}$$$[/tex]
According to the question;
For a given [tex]$\triangle$[/tex]ABC;
cos e < 0.
Therefore, [tex]\quad \frac{b^2+c^2-a^2}{2 b c} < 0 \\[/tex]
[tex]b^2+c^2 < a^2[/tex]
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Identify the constant of variation. y=(3/2)x
The constant of variation in y = (3/2)x is (3/2)
y = kx (Where k is the constant)
Here, y = (3/2)x
so k = (3/2)
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
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what does (x+4)(2x+5) equal?
Step-by-step explanation:
[tex](x+4)(2x+5)\\\\2x^2+5x+8x+20\\\large\boxed{2x^2+13x+20}[/tex]
What is the slope of the function?
pls answer
Answer:
slope = -4
Step-by-step explanation:
slope = [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{-10 - (-2)}{-2 - (-4)}[/tex] = [tex]\frac{-10 + 2}{-2 + 4}[/tex] = [tex]\frac{-8}{2}[/tex] = -4
Dan is saving money to buy a game. So far he has saved $12, which is two-thirds of the total cost of the game. How much does the game cost?
pls help me with my math homework
Answer:
55 sq ft
Step-by-step explanation:
okay so the are of the lil square is 9 sq ft and the area of the big square is 64 sq ft so j subtract the small from the big
Answer: 55cm ^2
Step-by-step explanation:
Area of a square is A=a^2
Area of small square is 3cm^2 = 9cm^2
Large square has an area of 8cm^2 = 64cm^2
64 - 9 = 55 cm^2
Therefore the remaining area is 55 centimeters squared
What's 3/10 + 8/15? (Brainliest Question)
Answer:
5/6
Step-by-step explanation:
Get LCD of 30 and add
9/30 + 16/30
25/30
Reduce
5/6
Ashley has a deck that measures 22 feet by 11 feet. She wants to increase each dimension by equal lengths so that its area is tripled. By how much should she increase each dimension?
The dimensions of the decks increased by the 11 feet.
According to the statement
We have to find that the length by which we increase the dimensions.
So, For this purpose, we know that the
The Area is the amount of space occupied by a two-dimensional figure.
From the given information:
Ashley has a deck that measures 22 feet by 11 feet. She wants to increase each dimension by equal lengths so that its area is tripled.
Then
The shape of the deck is the rectangle then dimensions is 22 feet by 11 feet.
Then
Area of the deck with the given dimensions = Length * Breadth
Area of the deck with the given dimensions = 22* 11
Area of the deck with the given dimensions = 242.
Then the dimensions increased by the x
Then
Area of the deck with the given dimensions = Length * Breadth
Area of the deck with the given dimensions = (22+x)* (11+x)
Area of the deck with the given dimensions = 242 + 22x+11x+x^2
Area of the deck with the given dimensions = 242 + 33x+x^2
Then according to given details:
x^2 + 33x + 242 = 3*242
x^2 + 33x + 242 = 726
x^2 + 33x = 726 - 242
x^2 + 33x = 484
x^2 + 33x - 484 = 0
After solving
The value of the x become
x = 11 and x = -44
Then second option be neglected.
Then the length increased by the 11 feet.
So, The dimensions of the decks increased by the 11 feet.
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Question 15 (1 point)
(01.04 MC)
Darnell is planning a trip to Dallas. He knows the hotel costs $155 per night and the round-trip flight is $99. He has a budget of $850 to spend
on his trip. Which of the following inequalities represents his budget to determine how many nights he can stay in Dallas?
OO
Ob
Od
99n+ 155 2 850
99n+155 ≤ 850
155n+99 2 850
155n+ 99 ≤ 850
The inequality that represents the number of nights he can stay in Dallas is 155n+ 99 ≤ 850 (option d).
How many nights can he stay in Dallas?Here are inequality signs and what they mean:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toSince his budget is $850, he can spent a total of $850 or less than $850 on the trip. The sign that would be used to represent this is ≤.
(Total hotel stay cost) + cost of flight ≤. budget
(cost per night x number of hotel stays) + $99 ≤ $850
155n + $99 ≤ 850
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Answer:
Answer is D
Step-by-step explanation:
m∠3=82.find m ∠4. i need help for my iready question
2+2 i know the answer is four
Answer:
5 50bw syfnauw dux fyq euw eywvr6b
Identify the number as prime, composite or neither. If the number is composite, write it as the product of prime factors. 540
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The number is prime.
B. The number is composite. Its prime factors written as a product are ( )
C. The number is neither prime nor composite.
Answer:B. The number is composite. Its prime factors written as a product are (5*3^3*2^2)
Step-by-step explanation:
Since 540 is an even number, that means it can be divided by 2. This means that the number is composite.
You can keep dividing it by 2 until you can't anymore.
Once you divide 540 by 2 twice, then you get 135.
You can divide it by 5 because the ones digit is 5.
Then you get 27, which is 3 times itself 3 times.
You finally multiply the numbers you divided by, and you get 2*2*5*3*3*3, which is 5*3^3*2^2.
show that the value of cos30 degrees x tan60 degrees + sin30 degrees is an integer
Answer:
Step-by-step explanation:
cos(30) x tan (60) + sin (30) = (√3)/2 x √3 + 1/2 = 3/2 + 1/2 = 4/2 = 2
Note: enter your answer and show all the steps that you use to solve this problem in the space provided. how you would convert the repeating, nonterminating decimal to a fraction? explain the process as you solve the problem. 0 . 1515 . . .
The fraction for 0.1515... is 5/33
It is possible to convert non terminating decimals to fraction. Because decimals are originally obtained from fractions itself.
If we have a terminating decimal number, by multiplying and dividing with powers of 10 gives a fraction.
For example, for the decimal 0.25, multiply and divide it with 100 which gives, 25/100 = 1/4.
Now we need to find the fraction corresponding to the decimal 0.1515..
Let x = 0.1515...
First we take 100x = 15.1515...
Now we can subtract the decimal part completely from 15.1515... since it is non terminating.
Now, 100x - x = 15.1515..- 0.1515.. = 15
Therefore, 99x = 15
and x = 15/99 = 5/33
So 5/33 is the fraction for the decimal 0.1515...
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A home improvement store sells bags of sand, which are labeled as
weighing 35 pounds. The equipment used to package the sand produces bags
with a weight that is within 8 ounces of the labeled weight.
a. Write an absolute value equation to represent the maximum and minimum
weight for the bags of sand.
b. Solve the equation and interpret the result.
The maximum and the minimum weight for the bags of sand are 36 and 35 pounds respectively
Write an absolute value equation to represent the maximum and minimum weight for the bags of sand.Here, we have
Weight = 35 pounds
Labeled weight = within 8 ounces
Convert ounce to pounds
So, we have:
Labeled weight = within 0.5 pound
The equation is then represented as
|x - 35| = 0.5
Where x represents the labeled weight
b. Solve the equation and interpret the result.In (a), we have
|x - 35| = 0.5
Expand
x - 35 = 0.5 and x - 35 = -0.5
Add 35 to both sides
x = 36 and x = 35
Hence, the maximum and the minimum weight for the bags of sand are 36 and 35 pounds respectively
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Question 5 (2 points)
Natalie wants to make sure she has enough in her account to go out to dinner with her friends. When she views her online bank statement, her
current available balance is not showing. This is what she can see:
Current posted balance: $87.73
Pending withdrawals/debits: $97.68
Pending deposits/credits: $126.02
Available balance:
What is Natalie's current available balance?
Answer: $
Blank 1:
Natalie’s current available balance is $116.07.
To find current available balance, we need to subtract pending deposits/ credits with pending withdrawals/ debits.
Account Balance = Pending deposits / credits – Pending Withdrawals /debits
= $126.02- $97.68 = $28.34
Available Balance = Account Balance + Current Posted Balance
= $28.34 +$87.73 = $116.07
Current Available Balance = $116.07
The balance in checking or demand accounts that is available for use by the client or account holder is known as the available balance. The accessible balance of an account holder may not match the current balance. Any unfinished transactions are often included in the current balance.
Pending Deposit Credits: Pending check deposits that haven't been processed, haven't been credited to your account, or didn't have availability when we got them.
Pending Deposit Debits: Your account is put on hold for the transaction's amount until it is processed.
Hence Natalie’s current available balance is $116.07.
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