Answer:
Steps to multiply using Long Multiplication
Multiplying 2-Digit by 2-Digit Numbers
Let us multiply 47 by 63 using the long multiplication method.
1. Write the two numbers one below the other as per the places of their digits. Write the bigger number on top and a multiplication sign on the left. Draw a line below the numbers.

2. Multiply ones digit of the top number by the ones digit of the bottom number.
Write the product as shown.

3. Multiply the tens digit of the top number by the ones digit of the bottom number.

This is our first partial product which we got on multiplying the top number by the ones digit of the bottom number.
4. Write a 0 below the ones digit as shown. This is because we will now be multiplying the digits of the top number by the tens digit of the bottom number. Hence, we write a 0 in the ones place.

5. Multiply the ones digit of the top number by the tens digit of the bottom number.

6. Multiply the tens digit of the top number by the tens digit of the bottom number.

This is the second partial product obtained on multiplying the top number by the tens digit of the bottom number.
7. Add the two partial products.

In long multiplication method, the number on the top is called the multiplicand. The number by which it is multiplied, that is, the bottom number is called the multiplier.
So, a long division problem will have:

We follow the same method for multiplying numbers greater than 2-Digits.
The figure below shows the long division method to multiply 357 by 23
Consider the line y=-5x+3. Find the equation of the line that is parallel to this line and passes through the point (3,4). Find the equation of the line that is perpendicular to this line and passes through the point (3, 4).
Answer:
parallel
y= -5x + 19
perpendicular
y= (1/5)x + 17/5
Step-by-step explanation:
yeah-ya......... right?
What is the product?
it tells you the answer..
The product of matries [tex]\left[\begin{array}{cc}5&-2\\-6&2\end{array}\right][/tex] and [tex]\left[\begin{array}{c}-1\\-1\end{array}\right][/tex]is option c. [tex]\left[\begin{array}{c}-3\\4\end{array}\right].[/tex] By perform matrix multiplication of 2x2 matrix with 2x1 matrix.
Given the matrices:
[tex]A = \left[\begin{array}{cc}5&-2\\-6&5\end{array}\right][/tex]
[tex]B = \left[\begin{array}{c}-1\\-1\end{array}\right][/tex]
To find the product, perform matrix multiplication.
Using the given matrices, the multiplication can be done as follows:
[tex]\left[\begin{array}{cc}5&-2\\-6&2\end{array}\right] \times \left[\begin{array}{c}-1\\-1\end{array}\right][/tex]
Multiply each element in the corresponding row of the first matrix by the corresponding column of the second matrix and summing the products.
[tex]=\left[\begin{array}{cc}(5\times-1)+(-2\times-1)\\(-6\times-1)+(2\times-1)\end{array}\right][/tex]
On multiplying the term in brackets gives:
[tex]=\left[\begin{array}{cc}-5+2\\6-2\end{array}\right][/tex]
On performing the algebraic sum gives:
[tex]=\left[\begin{array}{cc}-3\\4\end{array}\right][/tex]
Therefore, the product of the matrices is [tex]\left[\begin{array}{cc}-3\\4\end{array}\right].[/tex]
Matrix multiplication is an important operation in linear algebra and has applications in various fields, including physics, computer science, and engineering.
It allows us to perform transformations, solve systems of equations, and represent linear relationships between variables.
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out of 300 students at rsm summer camp 180 are boys what fraction of all students are boys
Answer:
3/5
Step-by-step explanation:
so first of all...
out of
300
students,
180
are boys.
180/300
which, simply by 60
3/5
so.. 3/5 of the people at rsm (whatever that is) summer camp are boys! Explanation isn't good, but you didn't really ask for it so i think you're ok... I guess. Now i just need an answer to my problem...
In rsm summer camp, fraction of boys is 3/5.
What is a fraction?A fraction is a numeral that represents a rational number.
Let a and b be two numbers, then their fraction can be represented as a/b.
Given that,
Total number of students at rsm summer camp = 300.
Total number of boys at rsm summer camp = 180.
To find the fraction of boys to all students.
Fraction of boys = number of boys / total number of students
= 180 / 300
= 18 / 30
= 3 / 5
The required fraction of boys is 3/5.
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Write an inequality that represents the graph.
espaneool
Step-by-step explanation:
What is the answer to 3(y - 1 + 2y)
Answer:
Collect like terms.
3((y+2y)-1)
3((y+2y)−1)
2 Simplify (y+2y)-1(y+2y)−1 to 3y-13y−1.
3(3y-1)
3(3y−1)
Help ASAPPPPP PLZZZZZZ
A restaurant is considering reducing its meal sizes, because it noticed many of its customers cannot finish their meals. The manager decided to weigh the left-over portion of the meals before putting them in to-go containers. The line plot displays the weights of the left-over portions of the meals. If the left-over portions are divided equally among the customers, how much food would each customer take home? Weight of Left-over Meals A. B. C. D.
Answer:
1/2
Step-by-step explanation:
You need to add all the fractions up to get 1/2 is what food the costumers brought home
Answer:
1/2
Step-by-step explanation:
i got it correct!!
1/5 divided by 2/15 as a mixed number
Answer: 1 1/2
Step-by-step explanation:
Step One: 3 / 2 = 1.5000 = 1
Step Two: 3 - (2 x 1) = 1
Step Three: 1 1/2
Please mark me branliest
Please help worth 20 points
Answer:
Try going on D.e.s.m.o.s.c.o.m it worked for me when I had something like this
Step-by-step explanation:
GURL POWER
Marco is five years less then twice hi sister Leah's age. Their mother is 14 years older than Marco and Leah's combined ages. If their mother is 48 years old, how old is Marco?
Answer:
Marco is 21
Step-by-step explanation:
Let the sister's age = x
Marco's age = 2*x - 5
x + 2x - 5 + 14 = 48 Combine the left side of the equation.
3x + 9 = 48 Subtract 9 from both sides
3x = 48 - 9
3x = 39 Divide by 3
x = 39/3
x = 13
So the sister is 13
Marco = 2x - 5 = 2*13 - 5
Marco = 21
What is the simplified form of the expression? HELP ASAP
Answer:
[tex]360[/tex]
Step-by-step explanation:
[tex] \frac{5(14 - 2)^{2} }{2} = \frac{5 {(12)}^{2} }{2} = \frac{5(144)}{2} \\ \\ \frac{720}{2} = 360[/tex]
Answer:
The answer is option (d) 360.
Step-by-step explanation:
Solution :[tex]\implies{\tt{\dfrac{5(14 - 2)^{2} }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5(12)^{2} }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5(12 \times 12) }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5(144) }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5 \times 144 }{2}}}[/tex]
[tex]\implies{\tt{\dfrac{5 \times \cancel{144}}{ \cancel{2}}}}[/tex]
[tex]\implies{\tt{5 \times 72}}[/tex]
[tex]\implies{\tt{360}}[/tex]
[tex]\dag{\underline{\boxed{\sf{\red{360}}}}}[/tex]
Hence, the answer is 360.
[tex]\rule{300}{1.5}[/tex]
Learn More :✧ BODMAS :
↝ BODMAS rule is an acronym used to remember the order of operations to be followed while solving expressions in mathematics.
It stands for :-
⠀ ⇝ B - Brackets,
⠀ ⇝ O - Order of powers or roots,
⠀ ⇝ D - Division,
⠀ ⇝ M - Multiplication
⠀ ⇝ A - Addition
⠀ ⇝ S - Subtraction.
↝ It means that expressions having multiple operators need to be simplified from left to right in this order only.
✧ BODMAS RULE :
↝ First, we solve brackets, then powers or roots,then division or multiplication (whatever comes first from the left side of the expression), and then at last subtraction or addition.
⠀ ↠ Addition (+)
⠀ ↠ Subtraction (-)
⠀ ↠ Multiplication (×)
⠀ ↠ Division (÷)
⠀ ↠ Brackets ( )
[tex]\rule{300}{1.5}[/tex]
If x is not equal to zero, what is the value of [tex]\frac{4(3x)^2}{(2x)^2}[/tex]
Answer:
[tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex]
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Distributive Property
Terms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \frac{4(3x)^2}{(2x)^2}[/tex]
Step 2: Simplify:
Rewrite [Exponential Distributive Property]: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(3^2x^2)}{2^2x^2}[/tex][Order of Operations] Evaluate exponents: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(9x^2)}{4x^2}[/tex][Order of Operations] Multiply: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36x^2}{4x^2}[/tex]Simplify: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36}{4} ,\ x \neq 0[/tex][Order of Operations] Divide: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex][tex]\\ \sf\longmapsto \dfrac{4(3x)^2}{(2x)^2}[/tex]
[tex]\\ \sf\longmapsto\dfrac{ 4(9x^2)}{4x^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{36x^2}{4x^2}[/tex]
Take x^2 common and cancel.[tex]\\ \sf\longmapsto \dfrac{x^2}{x^2}\left(\dfrac{36}{4}\right)[/tex]
[tex]\\ \sf\longmapsto \dfrac{36}{4}[/tex]
[tex]\\ \sf\longmapsto 9[/tex]
do you use multiplication at all when solving for x
Jayden purchases a television when his local electronics store had a sale. The television was 40% off its original price of $672. What was the sale price that jayden paid?
Answer:
The sale price he paid for the TV was $403.20
Step-by-step explanation:
You multiply the original price by .4 (40%). Then, you subtract that number from $672 to find the price Jayden paid! :)
initial value on this table
Answer:correct me if I’m wrong but it’s 0.
Step-by-step explanation:
85-51=34. 34
—————=. —————=17
5-3. 2
And once 17 is the slope/rate of change,you can either go back 17 each time or….do an equation : f(x)=17(x-3)+51
What is the answer to -3x + 7y = -16 and -3x + 7y = -16
Answer:
-16-7y/3
Step-by-step explanation:
-3x+7y=-16
Subtract 7y from both sides
-3x=-16-7y
Divide both sides by -3
x=-16-7y/3
Find the value of two numbers if their sum is 147 and their difference is 51
No links
Answer:
99 and 48
Step-by-step explanation:
99+48=147
99-48=51
) Are 9:6 and 18: 12 equivalent?
Answer:
Yes
Step-by-step explanation:
9 18
_ = _
6 12
9*2=18
6*2=12
2=2 TRUE
Help?please rnnnn………
Answer:
8,176
Step-by-step explanation:
You have to first do 8 × 5110 = 40,880
Then you divide 40,880 by 5
40,800 ÷ 5 = 8,176
Ayo. Bestie. Had enough yet?
Answer:
the answer is e
Step-by-step explanation:
can someone please help me with this? pls & thank you!
Answer:
see explanation
Step-by-step explanation:
Equation for Fast Internet is
45 + 50.45x
Equation for Quick Internet is
57.95x
To find when they cost the same , equate the 2 equations
45 + 50.45x = 57.95x ← required equation
Solve the equation by subtracting 50.45x from both sides
45 = 7.5x ( divide both sides by 7.5 )
6 = x
Both services would cost the same after 6 months
Solve using substitution.
=
10x + 4y = -14
X = 1
-
Submit
Answer:
-6
Step-by-step explanation:
10x1 + 4y = -14
10+4y=-14
4y=-14-10
4y = -24
y = -24/4
y = -6
this is the next question
Solve: 1/2÷0.2
Answer:
2.5
Step-by-step explanation:
Calculate the value of x
Answer:
x=15
Step-by-step explanation:
360-330=30
30/2=15
x=15
hope that helps
please mark as brainliest if correct
thank you
30 POINTS!
Find the gravitational force between Earth (5.97 x 1024 kg) and the Sun (1.99 x 1030 kg) knowing they are 1.48 x 1011 m apart.
Answer:
The correct answare would be 3.54 x 10^22 N
What does R represent?
A. a line segment
B. a point
C. a line
D. a rat
Answer:
B
Step-by-step explanation:
How to write a line segment
Answer:
In geometry, you will write a line segment using the letters for each of the end points and a line over the top of the letters.
A bottle of juice costs $1.85, and a pack of 6 bottles of lemonade costs $5.40. If Jimmy
buys 3 bottles of juice and a dozen bottles of lemonade, how much money should he
spend in all?
Answer:
Step-by-step explanation:
+
1.85
5.40
_____
6. 2 5
Identify the horizontal asymptote of f(x) =4x/7
y = 0
y = 2/3
y=1
No horizontal asymptote
Answer:
y = 1
Step-by-step explanation:
To find the Horizontal Asymptote, you have to look at the degree of the numerator and denominator.
[tex]h(x) = \frac{x^n}{x^m}[/tex]
If n < m, then y = 0If n = m, y = coefficient of [tex]x^n[/tex] divided by the coefficient of [tex]x^m[/tex]If n > m, then there is no Horizontal AsymptoteIf f(x) = x2 + 3x and g(x) = x + 2, find (f ∘ g)(x) and (g ∘ f)(x).
Answer:
(f ∘ g)(x) = x²+7x+10
(g ∘ f)(x) = x²+3x+2
Step-by-step explanation:
(f ∘ g)(x) = f(g(x)) = f(x+2) = (x+2)² + 3(x+2) = x² + 4x + 4 + 3x + 6 = x² + 7x + 10
(g ∘ f)(x) = g(f(x)) = g(x²+3x) = (x²+3x) + 2 = x² + 3x + 2
Make sure to review composite functions