Answer:
Identity property of addition
Step-by-step explanation:
Given
Step 3: 6x = 12
Required:
Which property justifies Step 3 of his work
The property that justifies this step is the identity property of addition;
At step 2; the equation was
6x + 0 = 12
When 0 is added to any expression or number, the value of the number or expression remains unchanged.
So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:
So, 6x + 0 = 12 becomes
6x = 12.
This property is referred to as the Identity property of addition
Answer:
Identity property of addition
Step-by-step explanation:
Given
Step 3: 6x = 12
Required:
Which property justifies Step 3 of his work
The property that justifies this step is the identity property of addition;
At step 2; the equation was
6x + 0 = 12
When 0 is added to any expression or number, the value of the number or expression remains unchanged.
So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:
So, 6x + 0 = 12 becomes
6x = 12.
This property is referred to as the Identity property of addition
in need of help, PLEASEEEE AND THANK YOUUUUUUUUUU <3
Answer:
y = 3/2x - 4
Step-by-step explanation:
Slope-intercept form is y = mx + b
When we count rise over run, we get 3/2
y = 3/2x + b
The line intersects the y-axis at -4
y = 3/2x - 4
I hope this helps :))
Solve for x in the equation x2 - 12x+36-90
0
X=6+3/10
X=6:27
X= 12+3.22
X = 12:3.10
Answer:
The Answer is A) X=6+3/10
Step-by-step explanation:
x = 6 + 3 √ 10 , 6 − 3 √ 10
Decimal Form:
x = 15.48683298 , − 3.48683298
A grocer wants to mix two kinds of candy. One kind sells for $1.80 per pound, and the other sells for $3.00 per pound. He wants to mix a total of 15 pounds and sell it for $1.95 per pound. How many pounds of each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)
Answer: 13.12 pounds of the candy that sells for $1.80 per pound 1.88 pounds of the candy that sells for $3 per pound should be in the mixture.
Step-by-step explanation:
Let x represent the number of pounds of the candy that sells for $1.80 per pound that should be in the mixture.
Let y represent the number of pounds of the candy that sells for $3.00 per pound that should be in the mixture.
The total pounds of both candies in the mixture is 15. It means that
x + y = 15
Since he wants to sell the mixture for $1.95 per pound, the cost of the mixture per pound would be 1.95(x + y)
The equation would be
1.8x + 3y = 1.95(x + y)- - - - - - - - - - 1
Substituting x = 15 - y into equation 1, it becomes
1.8(15 - y) + 3y = 1.95(15 - y + y)
27 - 1.8y + 3y = 29.25
- 1.8y + 3y = 29.25 + 27
1.2y = 2.25
y = 2.25/1.2
y = 1.88
x = 15 - y = 15 - 1.88
x = 15 - 1.88 = 13.12
Answer:
the grocer should mix approximately 13.12 pounds of 1st candy.
the grocer should mix approximately 1.88 pounds of 2nd candy.
Step-by-step explanation:
From the given information.
let x represent the pounds of the first candy and y represent the pound of the second candy
We are being told that the grocer wants to sell a total of 15 pounds,
so;
[tex]x+y = 15 \\ \\x= 15-y[/tex] ----- (1)
also; we are being informed that one kind sells for $1.80 per pound, and the other sells for $3.00 per pound. and he wants to mix a total of 15 pounds and sell it for $1.95 per pound.
So;
[tex]1.80 x + 3y = 15(1.95)[/tex]
[tex]1.80x + 3y = 29.25[/tex] ------(2)
Replacing equation (1) into 2 ; we have :
1.8(15 - y) + 3y = 29.25
27 - 1.8y + 3y = 29.25
- 1.8y + 3y = 29.25 - 27
1.2y = 2.25
y = 2.25/1.2
y = 1.88
Therefore, the grocer should mix approximately 1.88 pounds of 2nd candy.
Replacing the value of y into equation (1)
x = 15 - y
x= 15 - 1.88
x = 13.12
Therefore, the grocer should mix approximately 13.12 pounds of 1st candy.
Can (somebody)help me!!!
Answer:
20 meters
Step-by-step explanation:
The area of a rhombus is the height multiplied by the base. Conversely, the height of a rhombus is the area divided by the base. Therefore, the height of this rhombus is 20 meters. Hope this helps!
Which of the following describes how to translate the graph y = lxl  to obtain the graph of y = lxl -4
Answer: 4 units down.
Step-by-step explanation:
When we have the graph y = f(x)
We can do verticals translations as:
y = f(x) + a.
if a is a positive number, the new graph for y is moved a units upside.
if we want to do a translation down, we should do:
y = f(x) - a.
Now, our f(x) = IxI, and our translation is:
y = IxI - 4
You can see that we have a subtraction of a positive number (4) so we have a translation of 4 units downwards.
Have a feeling it’s 3X am i correct ??
Answer:
D
Step-by-step explanation:
The volume of a cube can be found by multiplying together all of the side lengths by each other, or:
[tex]x\cdot x \cdot x=x^3[/tex]
Therefore, the correct answer is D. Hope this helps!
Answer:
D. x^3.
Step-by-step explanation:
The volume = length*width*height
= x * x * x
= x^3.
19. Seja 17x 51y+ 102. Qual é o valor de 9x 27y ? (A) 54 (B) 36 (C) 34 (D) 18 (E) indeterminado
Pergunta correta:
Seja 17x + 51y = 102. Qual é o valor de 9x + 27a? (A) 54 (B) 36 (C) 34 (D) 18 (E) indeterminado
Resposta: A) 54
Explicação passo a passo:
17x + 51y = 102 - - - - equação 1
Divulgue até 17
x + 3y = 6 - - - - - - - Equação 2
9x + 27y - - - - - - - equação 3
Comparando as equações 2 e 3
(Equação 3) = 9 × (equação 2)
Isso é, 9x + 27y = 9 × (x + 3y = 6)
9x + 27y = 9x + 27y = 54
Portanto ; 9x + 27y = 54
Please answer this it's pre-algebra I will give brainliest and thanks
A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of questions are on the test?
Answer:
14 4 point questions and 26 2 point questions
Step-by-step explanation:
i just know
Write a sequence with at least 5 terms that forms a pattern. Identify the rule.
please its due in an hour!!!!!!!!!!!!!
The pattern is attached in the image provided with the work.
I have started off listing 4 terms and then 3 blanks
so we can study the pattern and find the next few terms.
Here, notice that the difference between -5 and 1/2 and -5 is +1/2.
The difference between -5 and -4 and 1/2 is +1/2
and the difference between -4 and 1/2 and -4 is +1/2.
Continuing the same pattern, -4 + 1/2 will be equal to -3 and 1/2.
-3 and 1/2 + 1/2 will be equal -3
and -3 + 1/2 will be equal to -2 and 1/5.
How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? How can sums and differences of cubes be identified for factoring?
Answer: I answered most of your question below
Step-by-step explanation:
Well in basic high school math, you prolly will never HAVE to factor square binomials. It becomes more of an issue when you take the limit, and there is a zero in the denominator and blah blah.
But to answer your question. You can pretty much factor any trinomial with the basic rule. Sometimes youll have to complete the square because the trinomial wont be factorable until then. The main use of factoring trinomials tho is to find the value of x. Most trinomials usually equal 0 when youre in high school math. So you factor and make both equations equal 0. Another case where you might need to factor is when you are dividing a trinomial by a binomial. You can factor the numerator and denominator and potentially cross out two terms that divide to equal 1. Overall, its really helpful.
I never really felt the need to actually factor square binomials. Its the thing like a^2 - b^2 = (a + b)(a - b), right? Its basically the same thing with what i said about the dividing stuff. One of those terms might be the exact same as one of the terms from the factored trinomial. Then you can cross out two entire terms
A trinomial is an expression that has three terms.
Square trinomial
A square trinomial is simply a perfect square trinomial, and it is represented as:
[tex]\mathbf{a^2 + 2ab + b^2 = (a + b)^2}[/tex]
Difference of square binomials
This is easily identified because, the terms of the square binomials are perfect squares.
The difference of square binomials is represented as:
[tex]\mathbf{a^2 - b^2 = (a + b)(a - b)}[/tex]
Sums and difference of cubes
When cubes are added or subtracted, they can be expressed using the following
[tex]\mathbf{a^3 + b^3 = (a + b)(a^2 - ab + b^2)}[/tex] --- sum of cubes
[tex]\mathbf{a^3 - b^3 = (a - b)(a^2 + ab + b^2)}[/tex] --- difference of cubes
Read more about binomial and trinomial at:
https://brainly.com/question/12289266
Please help me simplify these expressions
Answer:
4. -2s^9
7. 8b^10
Step-by-step explanation:
First, focus on the number part of the expression. For 4), multiply -2 x -1 x -1 = -2. Then, look at the exponents. When you're multiplying exponents with the same base (in number 4, the base is s), you can add the exponents.
2+3+4 = 9; which makes it s^9. Multiply -2 x s^9, which gives you -2s^9.
Same thing for 7). Multiply all the numbers first. this gives you 8. (Remember two negatives equals a positive). Add all of the exponents of b together, which gives you 10. (when a variable has no exponent, it means that the exponent is 1.) Multiplying 8 and b^10 should give you 8b^10.
It may help to brush up on exponent rules and sign rules.
Find an equation for the line that passes through the points (2, 3) and (-6,5).
Please I need help
Answer:
work is shown and pictured
PLEASE HELP ANSWER WILL GET BRAINLIEST!! What is the value of x in the equation
Answer:
-8
Step-by-step explanation:
¾(¼x + 8) - (½x + 2) = ⅜(4-x) - ¼x
3x/16 + 6 - x/2 - 2 = 3/2 - 3x/8 - x/4
3x/16 + 4 - x/2 = 3/2 - 3x/8 - x/4
3x/16 - x/2 + 3x/8 + x/4 = 3/2 - 4
3x/16 - 8x/16 + 6x/16 + 4x/16 = 3/2 - 8/2
(3x - 8x + 6x + 4x)/16 = - 5/2
5x/16 = - 5/2
5x * 2 = -5 * 16
10x = - 80
x = -80/10 = -8
What is the domain of this function?
Answer:
Step-by-step explanation:
The closed dot at (0, 9) indicates that that's where the graph begins. The arrow at the other end indicates that it has no end. Since the domain covers x values only (NOT Y VALUES!), we only need be concerned with the x values. It starts at x = 0 and never ends, so the domain is properly stated as
{x | x ≥ 0}
The height of trapezoid VWXZ is units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.
What is the length of the lower base, ZX?
14 units
units
18 units
units
Answer:
18units
Question:
The complete question as seen from other website is stated below:
The height of trapezoid VWXZ is 8(square 3) units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.
What is the length of the lower base, ZX?
Step-by-step explanation:
VW = 10units
WY = 8√3
XY = ?
ZX = ?
Find attached the diagram obtained from the information (1st image).
To determine XY, we would apply the tangent ratio.
Tan 60 = opposite/adjacent
Tan60 = (8√3)/XY
XY = (8√3)/ Tan60
In a 30°-60°-90° triangle theorem:
Find attached the diagram (2nd image)
Tan 60 = opposite/adjacent
Tan 60 = √3/1
Tan60= √3
XY = (8√3)/ Tan60
XY = (8√3)/√3
XY = 8units
ZX = ZY + XY
VW = ZY = 10units (the breadth of rectangle are equal)
ZX = 10 + 8
ZX = 18 units
What is the value of 3-(-2)
Answer:
5
Step-by-step explanation:
3-(-2)=5
Answer:
5
Step-by-step explanation:
It becomes 3+2 because the negatives cancel out.
A rope weighs 600 grams per meter of length.What is the weight in kilograms of 12.2 meters of this rope?
36x^2-16 factored. please and thanks
Answer:
(6x+4)(6x-4)
Step-by-step explanation:
a^2 - b^2 = (a+b)(a-b).
sqrt of 36x^2 is 6x; sqrt of 16 is 4.
a = 6x, b = 4.
Answer:
[tex] (6x - 4)(6x + 4) \\ [/tex]
Step-by-step explanation:
[tex]36 {x}^{2} - 16 \\ {6}^{2} {x}^{2} - {4}^{2} \\ (6x - 4)(6x + 4)[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
A drawer contains a dozen each of red,blue,green,ad white socks,all unmatched.Laura takes socks out at random in the dark.How many socks must laura take to be sure she has 2 pairs of white socks
Answer:
40 socks
Step-by-step explanation:
There are 48 socks in total inside the drawer. 2 pairs of white socks means four white socks. The worst possible scenario (however unlikely it is) is that Laura takes all of the red, blue and green socks before picking any white sock. From that point on, Laura has to pick four more socks in order to have two white pairs. In this scenario, there are 8 socks left in the drawer, all white. Therefore, the minimum number of socks that Laura must take to be sure that she has two pairs of white socks is:
[tex]n=(12*4) - 8\\n=40\ socks[/tex]
She must take at least 40 socks.
Which of the following reasons can be used to justify statement #4 in the proof?
A Given
B the vertical angle theorem
C the alternative interior angle theorem
D SSS
Answer:
SSS postulate because three sides of a triangle are are congruent
Answer:
SSS
It is SSS because it is the end of the proof.
The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).
Number line from negative 10 to positive 10 in increments of 1 is shown. In between the whole numbers, there should be a tick mark. Only the whole numbers are labeled. A point labeled R is placed halfway between the 3rd and 4th tick marks to the left of 0.The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).
Number line from negative 10 to positive 10 in increments of 1 is shown. In between the whole numbers, there should be a tick mark. Only the whole numbers are labeled. A point labeled R is placed halfway between the 3rd and 4th tick marks to the left of 0.
Answer: - 2.5
Step-by-step explanation:
The point R is - 2.5,
The numbers on the number line are arranged sequentially and in regular increment of 1 with only the integer numbers being displayed and ticked. The point R sits directly in between - 3 and - 2. Therefore, to accurately obtain the position of the blue dot, we take the average of both positions binding the blue dot. That is - 3 and - 2
Average = ( - 3 + - 2) / 2
Average = - 5 / 2 = - 2.5
Answer: yea it it - 2.5 i just did that test and got it right <3
Step-by-step explanation:
4 lines extend from point B. A line extends straight up from B to point A. Another line extends up and to the right to point C. Another line extends slight up and to the right to point D. The other line extends slightly down and to the right to point E.
Given that ∠ABC ≅ ∠DBE, which statement must be true
Answer:
∠ABD ≅ ∠CBE
Step-by-step explanation:
took the course
6.8x+9.3 = -9.4+3,4(2-5x)
6.8x+9.3 = -9.4+6.8 -17
6.8x+9.3 = -2.6-17x
Answer:
x = -0.5
Step-by-step explanation:
From your last step:
6.8x + 9.3 = -2.6 - 17x
We have two terms with x in them on different sides of the equation, so we want to bring the 'x terms' over to the same side.
Add 17x to both sides of the equation.
6.8x + 17x + 9.3 = -2.6
Collect like terms
23.8x + 9.3 = -2.6
Subtract 9.3 from both sides
23.8x = -2.6 - 9.3
23.8x = -11.9
Divide both sides by 23.8
x = -0.5
does anyone know the bottom answer please
Answer:
6000000 divided by 10 = 600000
Step-by-step explanation:
Your answer should make sense
HELP ASAP!! What is the output value for the following function, f(x) = 5x - 2 if the input value is 3?
A. 17
B.51
C. 13
D. 1
Please helpp!
Answer:
C) 13
Step-by-step explanation:
f(x) = 5x -2
f(3) = 5(3) -2
f(3) = 15 - 2
f(3l) = 13
A movie producer held a preview screening of her new movie to find out how the film would be received by viewers of different age groups. The table shows the number of viewers of different age groups who rated the movie as excellent, average, or poor. Note: A rating of "excellent" means the audience liked the movie, while a rating of "poor" means the audience disliked the movie.
Age Excellent Average Poor Marginal Total
16-30 78 33 43 154
30-44 33 41 37 111
45+ 38 23 20 81
MT: 149 97 100 346
Out of the total number of respondents, the percentage of respondents in the 30-44 age group who rated the film as excellent rounded to the nearest hundredth of
Answer:
120%
Step-by-step explanation:
Because the answer is 1 1/5 that converted to a percentage(%) is 120%.
9.53% people between the age 30 to 44 rated the movie as excellent.
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.
According to the given question.
We have a data of people of different ages who rated the movie as excellent, Average, and poor.
Now,
Total number of people between the age 30 to 44 who rated the movie excellent is 33
And, the total number number of people who watched the movie is 346.
Therefore, the percentage of people who are in between 30 to 44 and rated the movie as excellent is given by
[tex]percentage = \frac{total\ number\ of\ people\ between\ 30\ to\ 44\ and\ rated\ movie\ as\ excellent\ }{total\ number\ of\ people\ who\ watched\ the\ movie}[/tex]
[tex]\implies percentage = \frac{33}{346} =9.53\%[/tex]
Hence, 9.53% people between the age 30 to 44 rated the movie as excellent.
Find out more about percentage here:
https://brainly.com/question/14699403
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pleasee help marking brainlest
Answer:
See below in bold.
Step-by-step explanation:
The cost of what he wants to buy = 4.25 + 0.89 + 10.99
= $16.13
a) He does have enough to buy everything.
b) He has 20 - 16.13 = $3.87 left over.
Sam read 20 pages, which is 2/3 of the book. How many pages are there in the book?
Answer:
30pages
Step-by-step explanation:
20 is 2/3 so 10 is 1/3 so 3/3 is one book
Answer:
30 pages
Step-by-step explanation:
What is the area of this isoceles trapezoid?
7 2
Step-by-step explanation:
Answer:
72^2 units
Step-by-step explanation:
A=a+b/2×h
A=12+6/2×8
A=18/2×8
A=9×8
A=72^2units
please help for the brainliest answer
Answer:
Step-by-step explanation:
9n-2
thats the first part