Answer:
a) 2(4a + 7b)(4a - 7b)
b) (m - 8n)(m + 8n)
Step-by-step explanation:
[tex]a)32a^{2} - 98b^{2}\\=(2 * 16)a^{2} - (2*49)b^{2}\\=2(16a^{2} -49b^{2})\\=2 ([4a]^{2}-[7b]^{2})\\=2(4a+7b)(4a-7b)[/tex]
[tex]b) m^{2} - 64n^{2}\\= (m)^{2} - (8n)^{2} \\= (m-8n)(m+8n)[/tex]
happy to help:)
which expression is equivalent to 2(a+3) when a equals 3
2(3)
5(3)
2(3)+3
2(3)+6
Answer:
2(3)+6
Step-by-step explanation:
a = 3
substitute a with 3
2(a+3)
= 2(3+3)
= 2(6)
= 12 ✅
i) 2(3) = 6 ❌
ii) 5(3) = 15 ❌
iii) 2(3)+3 = 6+3 = 9❌
iv) 2(3)+6 = 6+6 = 12 ✅
Is 3xy + 8 = 4y a linear equation ?
Answer:
No because of the 3xy term. For an equation to be considered linear there has to be one y value for every x value given
The answer is 3xy + 8 = 4y is not a linear equation.
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here: 3xy + 8 = 4y
The degree of this equation is 2 and thus the graph of this equation is not linear.
Hence, 3xy + 8 = 4y is not a linear equation
Learn more about linear equations here:
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a dozen roses costs $21 at this rate, how much would you expect for four roses
Answer:
$7
Step-by-step explanation:
Divide 21 by 12 which equals 1.75. Multiply by 4 and it's 7.
The cost of four roses is $7.
Given that, a dozen roses costs $21.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
We know that, in one dozen there will be 12 roses.
Now, cost of one rose = 21/12
= $1.75
So, cost of 4 roses = 4×1.75
= $7
Therefore, the cost of four roses is $7.
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How much is 2% of 3.50
Answer:
.07
Step-by-step explanation:
3.50 * 2% = .07
or
3.50 * .02 = .07
What are the answers?
Answer:
Step-by-step explanation:
I need the statements please.
I want to know what is the formula for an endpoint with the midpoint of a line segement.
Answer:
Did u actually need the answer or is this another c.hat?
Step-by-step explanation:
Tanner is preparing dinner plates. He has 36 pieces of chicken and 16 rolls. If he wants to make all the plates identical
without any food left over, what is the greatest number of plates Tanner can prepare?
Answer:
4
Step-by-step explanation:
First, we find the greatest common factor of 36 and 16.
36 = 2^2 * 3^2
16 = 2^4
GCF = 2^2 = 4
He can make 4 plates.
Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters. They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding. Solve this problem for Jack." How many dimes and quarters in Lulu holding? Enter your final answer in the space below. Please make sure you write your interpretation in a complete sentence
Given :
Lulu tells her little brother, Jack, that she is holding 20 coins, all of which are either dimes or quarters.
They have a value of $4.10. She says she will give him the coins if he can tell her how many of each she is holding.
To Find :
How many dimes and quarters in Lulu holding?
Solution :
4.10 dollar = 410 cents
Let, number of dimes and quarter are x and y.
So, x + y = 20 ...1)
Also, 10x + 25y = 410 ...2)
Putting value of 1) in equation 2), we get :
10x + 25( 20 - x ) = 410
10x + 500 - 25x = 410
15x = 90
x = 6
y = 14
Therefore, number of dimes and quarters are 6 and 14 respectively.
Hence, this is the required solution.
what is the y- intercept of the linear function?
y = - 5/2x -1
Answer:
y = -1
Step-by-step explanation:
Answer:
the y intercept as a point is (0,-1)
otherwise its only -1
Step-by-step explanation:
the form y=mx+b shows that m is the slope which -5/2 in this problem and b is the y intercept which is -1.
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what is the correct answer to 4x1 3/8
Answer:
3/2
Step-by-step explanation:
That's the answer mark me brainliest Please
Answer:
Step-by-step explanation:
4*1 3/8=
4/1 * 11/8=
11/2 or 5 1/2
Solve these equations as a ordered pair
Y= 2x-3
Y= -x
What is 149/15 as a mixed number?
Answer:
its an improper
mixed : 9 14/15
Step-by-step explanation:
its a mixed number if the number at the tops in the limit and there is a number at the side that represents whole number(s)
Answer:
the answer is 9 14/15
Step-by-step explanation:
Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 149 by 15 and keep only what is to the left of the decimal point:
149 / 15 = 9.9333 = 9
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
149 - (15 x 9) = 14
Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 149/15 as a mixed number is:
6th grade math i mark as brainliest
Answer:
138.8 is the answer
Step-by-step explanation:
i hoped it helped
Answer:
138.8
Step-by-step explanation:
214.8-76=138.8
hope u get it right
have a great day
3y-24 useing the greatest common factor.
Answer:
In 3y-24, 3 is the greatest common factor.
3y-24
=3(y-8)
Answer:
In 3y-24, 3 is the greatest common factor.
3y-24
=3(y-8)
Step-by-step explanation:
Hope this helped have an amazing day!
What is the answer will cashapp you
Answer:
3z + y = 1
Step-by-step explanation:
.........................
Please help me please!
Answer:
(2) 19
Step-by-step explanation:
[tex]2(3^x)+1[/tex][tex]2(3^2)+1[/tex][tex]2(9)+1[/tex][tex]18+1[/tex][tex]19[/tex]Please help me I’m begging you, ignore my answer unless I’m right. I don’t know how to do this please help
Answer:
What is the question?
Step-by-step explanation:
Is a software salesmanLet y represent his total say in )Let the of copies of History is sellsSuppose and y are related by the equation y = 2200 + 70x Answer the questions below. Note that a change can be an increase or decrease . For
Answer:
The answer is "70 and 2200".
Step-by-step explanation:
Please find the complete question in the attached file.
The total payment = y
The number of copies to be sold = x
[tex]\to y = 70x + 2200[/tex]
In part (a):
Change of pay = discrepancies between (x+1) sale and (x) sale of copies for every copy sold
[tex]=[70(x+1) + 2200] - [70x + 2200] \\\\= 70x + 70 + 2200 - 70x - 2200\\\\= 70\\\\[/tex]
In part (b) :
[tex]\to y = 70x+ 2200[/tex]
when [tex]x = 0[/tex]
[tex]\to y = 70(0) + 2200\\\\[/tex]
[tex]=0+2200\\\\=2200[/tex]
Last one yall pls help me!
Answer:
8. 5/6
9. 6.25 or 6 1/4
10. 14.4 Fish
Step-by-step explanation:
8. Reduce the fraction. (20/24) You can divide both the numerator and denominator by 4.
9. Divide 75 by 12
10. Divide 72 by 5
Last year's cost, c, of a water park season pass increased 35%. The expression C+0.35c can be used to represent the increased price of a season pass. What is another expression that can be used to find the the new cost of a season pass?
==========================================
Work Shown:
c+0.35c = 1c+0.35c = (1+0.35)c = 1.35c
We can think of the increase of 35% as equivalent to 135%, since 100% + 35% = 135%, then we can convert 135% to its decimal form getting 1.35
In other words, if you increase the price by 35%, then the new price is 135% of its old one
new price = 135% of old price
new price = 1.35*(old price)
Circle D was dilated to form circle D prime. The diameter of circle D is 5 units and the diameter of circle D prime is 15 units. What is the relationship between the areas of circle D and circle D prime?
Answer:
A' = 9AStep-by-step explanation:
Area formula:
A = πd²/4Area of circle D:
A = π(5²)/4= 25/4πArea of circle D'
A' = π(15²)/4 = 9*25/4π = 9ARequired relationship:
A' = 9Awhat is the given amount converted to the given units 144 ft; inches
Final Answer: [tex]1728[/tex] inches
Steps/Reasons/Explanation:
Question: What is the given amount converted to the given units 144 ft; inches?
Formula to convert feet to inches: Multiply the length value by 12.
Steps: Multiply 144 by 12
[tex]144[/tex] × [tex]12[/tex] = [tex]1728[/tex] inches
~I hope I helped you :)~
Review my example on how to find the rate of change for a given set of data. Let (x, y) = (11, 12) and (x', y') = (15, 16). The formula to find the rate of change for the two order pairs is: (y' - y) / (x' - x) = rate of change, so (16 - 12) / (15 - 11) = 4/4 = 1, therefore, the rate of change is 1 *
I would have labeled the points as
(x1,y1) = (11,12)
(x2,y2) = (15,16)
then used the formula
m = (y2-y1)/(x2-x1)
However, your idea works as well. I don't see any errors with your steps. Nice work.
Rewrite the equation to describe 4 as a function of 8:
4x + 8y = 512
Then interpret the slope and y-intercept.
Answer:
The steps below show how I transformed the equation in the question into standard form, where the slope and y-intercept is clearest. The slope is -1/2 and the y-intercept is 32.
[tex]4x + 8y = 512 \\ x + 2y = 64 \\ 2y = - x + 64 \\ y = - \frac{1}{2} x + 32[/tex]
What is the least amount of additional money Sofia can spend to get the sushi they need?
Answer:
$
Step-by-step explanation:
Match the solution set of each of the following inequalities with its graph
Answer:
4
1
3
2
5
Step-by-step explanation:
An open circle means less than/greater than, while a closed circle means less than or equal to/greater than or equal to
Whats the slope of (6,0) and (2,-2)
Add a computer manufacturing company, they produce two different types of computers. They can make 70 laptops per day while making 55 desktop per day. The company has a total of 14 machines to make computers. They can make a total of 905 computers per day. How many machines make laptops and how many make desktops? (QUESTION NUMBER 4 and in the picture is question number 5. PLEASE HELP WITH BOTH
Answer:
For the second question, 4 busses and 3 cars.
Step-by-step explanation:
It's really simple actually, but sorry I can't come up with an equation. You can just add or multiply students per bus and students per car until you get to 195. Each bus can hold 45 students, so 45 x 4 = 180. Each car can hold 5 students, so 5 x 3 = 15. In total, 15 + 180 = 195 students.
The bake sale sold pies for $5.99 each and cakes for $9.99 each. The total number of pies and cakes sold was 25 for $189.75.
Answer:
profit 40 dollars
Step-by-step explanation:
please help me 56 points
Answer:
Are you trying to solve for x?? orrr? what
Step-by-step explanation:
I can help you just gotta be specific