Answers
Answer:
x = {0, 4y}
Step-by-step explanation:
Simplifying
3x(x + -4y) = 0
(x * 3x + -4y * 3x) = 0
Reorder the terms:
(-12xy + 3x2) = 0
(-12xy + 3x2) = 0
Solving
-12xy + 3x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '3x'.
3x(-4y + x) = 0
Ignore the factor 3.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:
Simplifying
x = 0
Solving
x = 0
Move all terms containing x to the left, all other terms to the right.
Simplifying
x = 0
Subproblem 2
Set the factor '(-4y + x)' equal to zero and attempt to solve:
Simplifying
-4y + x = 0
Reorder the terms:
x + -4y = 0
Solving
x + -4y = 0
Move all terms containing x to the left, all other terms to the right.
Add '4y' to each side of the equation.
x + -4y + 4y = 0 + 4y
Combine like terms: -4y + 4y = 0
x + 0 = 0 + 4y
x = 0 + 4y
Remove the zero:
x = 4y
Simplifying
x = 4y
Solution
x = {0, 4y}
The simplified form of the given expression a)3x×4y and 2p×3q×5r will be 12xy and 30pqr respectively.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that the expression is,
a)3x × 4y
b)2p × 3q ×5r
When you simplify an expression, your goal is to make it as simple as you can. There shouldn't be any further multiplication, dividing, adding, or removing to be done at the conclusion. We can apply all the arithmetic operations in order to simplify the expression.
The expression can be simplified by multiplying the variable and the constants separately,
a)3x × 4y
=(3×4))x×y)
=12xy
b)2p × 3q ×5r
=(2×3×5)(p×q×r)
=30pqr
Thus, the simplified form of the given expression a)3x×4y and 2p×3q×5r will be 12xy and 30pqr respectively.
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Related Questions
Jackie usually rents at least 4 movies a week. Each movies costs $5. How much money would she save in one year if she decided to rent only 2 movies per week
Answers
1 Movie =$5
4. = x
$ 20 per week
4 weeks a month 4*20
=$80 dollars spent a month
12 months a year -12*80=960
______________
1 movie =5 dollars
2=x
X=10 $ spent per week
4 weeks a month =4*10
40*12
480 spent per year
960-480 =480 dollars saved
(-5+2)•(-1/2)
I don’t know how to do this problem. Would anyone be able to assist? Thanks!
Answers
Answer:
3/2 or 1 1/2 or 1.5
Step-by-step explanation:
first do the equations in each parentheses:
(-5+2) = -3
(-1/2) = -1/2
then multiply both sides:
-3 • -1/2 (which is the same as -3 • -1 over 2)
= 3/2 or 1 1/2 or 1.5
Solve:
X⁴ × X
2y⁴ x 7y
-5x⁰ x X
⅔ X⁶ x 3X
-4y¹⁰ - 2y
Answers
Answer:
.
Step-by-step explanation:
1.6x – 2.88 = 3.4x
X=?????
Answers
1.6x-3.4x-2.88=0
-1.8x-2.88=0
-1.8x=2.88
x= -1.6
Answer:
x = -1.6
Step-by-step explanation:
Solve for x:
Combine like terms. Here we combine 1.6x and 3.4x, obtaining 1.8x on the right side of the equation and -2.88 on the left side:
-2.88 = 1.8x
Solve for x by dividing both sides by 1.8:
x = -2.88/1.8, or x = -1.6
PLEASE ANSWER QUICK
The replacement set for an equation is {10, 24, 25, 36}.
The equation is represented by the sentence, "5/6 of a number is 30."
What is the solution set of the equation?
{10}
{24}
{25}
{36}
Answers
Given the replacement set for an equation is {10, 24, 25, 36}, the solution set of the equation is 36
Let the unknown number required in the replacement set be "x"
If "5/6 of the number is 30, this is expressed mathematically as:
5/6 of x = 30
5x/6 = 30
5x = 6 * 30
5x = 180
x = 180/5
x = 36
This shows that the solution set of the equation is 36
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Answer:
The Answer Is 36 I Hope This Helped!!!
Step-by-step explanation:
So Yea It's 36
Find the GCF of 42 and 63
Answers
Answer:
21
Step-by-step explanation:
Answer:
Step-by-step explanation:
Factor both numbers into their prime factors. Then pick the numbers that are in both.
42: 2*3*7
63:3*3*7
Which numbers are in both rows.
3 and 7
One more example would be good.
Suppose the two numbers were
45: 3*3 * 5
63:3 *3 * 7
In this example, there are two threes in both numbers. Both of them must be used for the GCF: 3*3 = 9
The GCF = 21 for your question.
What two numbers have a product of -57 and a sum of -16?
Answers
Answer:
-19 and 3
Step-by-step explanation:
-19 x 3 = -57
-19 + 3 = -16
Answer:
Step-by-step explanation: To find the answer to "What two numbers have a product of 57 and a sum of 16?" we first state what we know. We are looking for x and y and we know that x • y = 57 and x + y = 16.
Before we keep going, it is important to know that x • y is the same as y • x and x + y is the same as y + x. The two variables are interchangeable. Which This means that when we create one equation to solve the problem, we will have two answers.
To solve the problem, we take x + y = 16 and solve it for y to get y = 16 - x. Then, we replace y in x • y = 57 with 16 - x to get this:
x • (16 - x) = 57
Like we said above, the x and y are interchangeable, therefore the x in the equation above could also be y. The bottom line is that when we solved the equation we got two answers which are the two numbers that have a product of 57 and a sum of 16. The numbers are:
5.35425
10.64575
That's it! The two numbers that have a product of 57 and a sum of 16 are 5.35425 and 10.64575 as proven below:
5.35425 • 10.64575 = 57
5.35425 + 10.64575 = 16
HOPE THAT HELP YOU PLS MARK ME BRANLITS PLSSSS
A standard fair dice is rolled twice. What is the probability of getting an even number on the first roll and any factor of 6 on the other?
Answers
Answer:
1/3
Step-by-step explanation:
Factors of 6 are 1, 2, 3, 6.
Even numbers are 2, 4, 6
3/6 * 4/6 = 12/36 or 1/3
Please help me! Thanks in advance
Answers
Answer:
the answer is
Step-by-step explanation:
that im not good with math so good luck
Can someone help me with this please?
Answers
Answer: Multiply 4.50 x 10= 45.00$
Step-by-step explanation:
Answer:
$7.50
Step-by-step explanation:
Divide the cost by 6 to find the price of one 1lb:
4.50 ÷ 6 = 0.75
Now multiply this by 10 to find the cost of 10lbs:
0.75 x 10 = 7.5
∴ The cost is $7.50.
Hope this helps!
Amy drew a scale drawing of a shopping center. The scale she used was 1 inch : 3 feet. If a bakery in the shopping center is 16 inches wide in the drawing, how wide is the actual bakery?
Answers
Answer:
48 ft
Step-by-step explanation:
We can use ratios to solve
1 inch 16 inches
------------ = -------------
3 ft x ft
Using cross products
1 * x = 3 * 16
x = 48
48 ft
Help me pls
composition of functions
Answers
Answer:
It's 14
Step-by-step explanation:
k(-1)=6(-1)+8=-6+8=2
h(k(-1))=>h(2)=4+5(2)=4+10=14
Answer:
14
Step-by-step explanation:
Evaluate k(- 1) then substitute the value obtained into h(x)
k(- 1) = 6(- 1) + 8 = - 6 + 8 = 2 , then
h(2) = 2² + 5(2) = 4 + 10 = 14
solve pls brainliest
Answers
a) -7
b)
-7
7
c) 7
7
These are the answers
Answer:
a. 7
b. -7 then 7
c. 7 for both
Step-by-step explanation:
Jafari decided to stock up on sweets for his birthday party, so he bought 105 sweets in January. The second month he bought twice that number of sweets. In March he bought thrice the number of sweets that he bought in February. If the sweets are to be shared equally among 45 guests, how many will each guest receive?
Answers
Answer: Each guest will receive 21 pieces.
It costs $7 each way to travel to work each weekday by train. What is the weekly expense each way?
Answers
Answer:
it could either be 35 or 70
Step-by-step explanation:
What is the vertical asymptote of the graph?
Answers
Since the graph (presumably that of the function y = 1/(x-7)^2 ) increases to infinity at a point between 6 and 8, it would be when x=7 (keep in mind an asymptote is when the graph appears to move towards an x or y value but never reaches it.
solve pls brainliest
Answers
Since -15/5 is -3
Direct variation is when y varies exactly with x
A rope is 255 centimeters long you need the rope to be 1.5 meters long. How many centimeters should you cut off
Answers
Answer:
105cm
Step-by-step explanation:
first convert 1.5 metres to cm;
1m = 100cm
1.5 =?
1.5×100= 150cm
we then subtract:
255-150=105cm
Find the area of the shaded
figure.
Answers
50+8 obv 58
hoping its not wrong i learned this like 5 years ago plzz
Answer:
58 sq. units
Step-by-step explanation:
1. split them into 3 shapes
of course it is possible to count them all out, but the more efficient way would be to find the area of each shape and the add them all up.
2. find the area of rectangle a
so you can split one into a recantagle that separates itself from the 2 squares at the bottom
area formula: L x W
so the length of that rectangle is going to be 5, once you count the scares of that side. the width would be 10 when you count the top side of how wide it is.
5 × 10 = 50
3. find the area of the 2 squares
you don't need to find both, because one you find one, you find the other. so the length for the square would be 2 while the width is 2 as well.
2 × 2 = 4
so the area is 4, for each square.
50 + 4 + 4 = 58
What is the slope of the graph shown below?
- FPS
-4
-1
H
-7 -6 -5 -4 -3 -2 -1 4.1 2 3 4 5 6 7
-2
L4HHHH
No O BN-
-4
-5
-6
Answers
Answer:
slope is 1
Step-by-step explanation:
slope is rise over run
help plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answers
Answer:
uhhhh
Step-by-step explanation:
uhhhh
Heyyyyyyyyyyyy helpppp
Answers
Answer:
16ft^2
Step-by-step explanation:
2 times 6 is 12
2 times 2 is 4
Add 12 and 4
Which is 16ft^2
Hope this helps!
Answer:
16ft
Step-by-step explanation:
Easy way to do this is to split it into 2 different figures then add the area of them both together. In this case, I split the figure into a rectangle and a square.
6 x 2 = 12ft for the rectangle.
2 x 2 = 4ft for the square
Then add them together to get 16ft.
Today Nia completed her sixth hour of training which represents her sixth hour of training, which represents 7.5% of the total number of hours in the training. How many hours will Nia spend in training in all?
Answers
The times spent in training is an illustration of proportions
The times spent in training is 80 hours
The given parameters are:
Time spent = 6 hours
Time spent as a percentage = 7.5%
Let the total time spent in training be x.
The scenario is represented by the following equation
Time spent = Time spent as a percentage * Total Time
So, we have:
6 = 7.5% * x
Express percentage as decimal
6 = 0.075 * x
Divide both sides by 0.075
80 = x
Rewrite as:
x = 80
Hence, the times spent in training is 80 hours
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In the equation 80 divided by 10=8 the number 80 is the
Answers
An art gallery is increasing the asking price of its paintings by 60%. A painting now costs $400.00. How much was the painting before the increase??
$
Answers
Answer:
$250
Step-by-step explanation:
The goal here is to find the cost of the painting BEFORE the 60% increase.
To find the cost of the painting, we must take in the information we already have:
Increase percent: 60%
Original price: unknown
Price after increase: $400
$400 is the price of the painting AFTER the increase has been added. So this equals the cost of the painting before the increase, plus the total amount of the increase (which is 60% of the original price).
The total must be (100% + 60% = 160%) 160% of the original painting price.
To find the original price, we must divide the increased price by the new percentage (160%). But how do we get here?
Well, we have 160% and our (fraction) $400/1%. We will have to switch the 160% and the 1%, giving us..
1% $400/160%
We take 400/160, which is 2.5. But this is only 1% of the original price! We want 100%.
So now, we multiply the 2.5 by 100 to get our answer: $250.
Evaluate and simplify the
expression when x=10 and y=7.
?
5+ y
6x
Answers
because 5+7=12 and 6x10=60
If x+1=7, what is the value of x2 + 22 +1?
Answers
Answer:
59
Step-by-step explanation:
x+1 = 7
Subtract 1 from each side
x+1-1 =7-1
x =6
x^2 + 22 +1
6^2 +22+1
36+22+1
36+23
59
Answer:
[tex]x + 1 = 7 \\ x = 7 - 1 = 6 \\ putting \: the \: value \: of \: x = 6 \\ 6 \times 2 + 22 + 1 = 34[/tex]
Help! It’s slope-Intercept form:Write an equation from a table
Answers
Answer:
the answer would be f(x)=-5x+41
Step-by-step explanation:
you start by calculating the change in y (or f(x)) and dividing that by the change in x or y2-y1/x2-x1. the answer you should get is the slope (mx). from there you calculate the y intercept (b) by simply finding when x=0. now you put it all together, y=mx+b or f(x)=-5x+41
41-36= -5
The difference or the slope is -5 because we are subtracting by 5.
(0,41) 41 is your y intercept
y=-5x+41
Multiply and Simplify 3i(4-3i)-i(2+1)
Answers
Answer:
17+6i
-----------
25
Step-by-step explanation:
2+3i
---------
4+3i
We want to multiply by the complex conjugate of the denominator
4+3i has a complex conjugate of 4-3i
2+3i 4-3i
--------- * --------------
4+3i 4-3i
Lets multiply the numerator
(2+3i) ( 4-3i)
2*4 +4*3i -3i*2 - 3i*3i =
8 +12i -6i - 9i^2
Remember i^2 = -1
8 +6i -9(-1)
17 +6i
Lets multiply the denominator
(4+3i) ( 4-3i)
4*4 +4*3i -3i*4 - 3i*3i =
16 +12i -12i - 9i^2
Remember i^2 = -1
16 -9(-1)
25
Putting numerator over denominator
17+6i
-----------
25
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
i is called the imaginary number.
i = √-1
The final expression of 3i (4 - 3i) - i(2 + 1) after simplification is 9i + 9.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
3i (4 - 3i) - i(2 + 1)
i is called the imaginary number.
i = √-1
Remove the parenthesis.
3i x 4 - 3i x 3i - i x 2 - i x 1
12i - 9i² - 2i - i
[ i² = -1 ]
12i + 9 - 2i - i
Add like terms
12i + 9 - 3i
9i + 9
Thus,
The final expression of 3i (4 - 3i) - i(2 + 1) after simplification is 9i + 9.
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What is the unit rate for canned juice, in cases per minute? Explain how you found this unit rate.
Answers
Answer:
Divide any of the numbers of cases by the corresponding time.
92/2 = 46
138/3 = 46
184/4 = 4
Step-by-step explanation:
