Olivia ordered cupcakes and a layer cake. Together she paid $52. She paid $12 more on the layer cake than on the cupcakes. What was the price of each?

3 + (-7)

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The addition form will be equal to 3 + (-7).

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division

Given that:-

= 3 − 7

The additional form of the above expression will be:-

=3 + (-7)

Therefore the addition form will be equal to 3 + (-7).

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The lines are Perpendicular

Perpendicular lines are lines that directly bisect each other, forming 90° angles

~Rise Above the Ordinary

Hi, I'n Jenny and I'm a mathematician! I'd love to help you! :)

"which term describes lines that intersects at a 90 degree angle? "

My answer: perpendicular lines

Attached is more info on math lines

Message from ExperimentsDIYS:

Our team aims to please and if you have any question regarding your topic, we are here to help! We know that your education is very important. <3

i believe your answer is c. because the x value goes first in a coordinate. hope this helps!

We are given

Marta is making a quilt in the shape of a square

The length of one edge of the quilt is 2g^2h^3

so, we get

[tex]s=2g^2h^3[/tex]

now, we know that

area of square = length *length

so, we get

[tex]A=s^2[/tex]

now, we can plug values

and we get

[tex]A=(2g^2h^3)^2[/tex]

we can simplify it

[tex]A=2^2(g^2)^2(h^3)^2[/tex]

[tex]A=4g^4h^6[/tex].............Answer

Hey there!

The only thing we can do to simplify this expression is to combine 5a and 2a, the two like terms in the expression.

Our final answer is 7a + 9.

Hope this helps!

-2x^3 - 2x^2 + 12x

Because we can pull out a common factor, we'll do that first to simplify the expression.

-2x(x^2 + x - 6)

Now, let's see if we can split the middle term.

Display factors of -6.

-6 * 1

-1 * 6

-3 * 2

3 * -2 (these digits satisfy the requirements for splitting the middle term)

Split the middle term.

-2x(x^2 + 3x - 2x - 6)

Group terms in pairs of two.

-2x((x^2 + 3x) - (2x - 6))

Factor each binomial.

-2x((x(x + 3)) - (2(x + 3)))

Rearrange the terms.

-2x(x - 2)(x + 3) is the fully factored form of the provided trinomial.  

The factorization of the trinomial -2x^3-2x^2+12x includes first factoring out the common factor -2x, and then further factoring of the trinomial within the parenthesis results in the final factorization as -2x(x-2)(x+3).

The trinomial in this question is -2x^3-2x^2+12x. The process we use to factor this trinomial would be to first factor out the greatest common factor (GCF) for all the terms. In this case, the GCF is -2x.

So, if we factor out -2x, we get: -2x(x^2+x-6).  We can continue to factor the trinomial (x^2+x-6) inside the parenthesis then. We find that it factors to (x-2)(x+3).

Thus, the final factorization of the original trinomial is -2x(x-2)(x+3).

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the slope is 9 and the y-intercept is - 2

the equation of a line in ' slope-intercept form ' is

y = mx + c ( m is the slope and c the y-intercept )

y = 9x - 2 is in this form

with slope m = 9 and y-intercept c = - 2

12 - 3 = 9

So Nemili has 9 more red triangles than blue triangles.

Hope this Helps!!

The y-intercept is the point where the line crosses the vertical y-axis.

2x-3=4x+8     Equation

-3=6x+8         Add 2x to opposite side

-11=6x            Subtract 8.

x= -6/11          Answer

Final answer:

The axis of symmetry of a parabola can be found by the formula x = -b/(2a), which uses the coefficients of the quadratic equation. This line runs vertically through the vertex of the parabola.

Explanation:

Finding the axis of symmetry for a quadratic equation based on its graph involves identifying the line that divides the parabola into two mirror images. The axis of symmetry is always a vertical line and can be found by looking at the vertex (the highest or lowest point) of the parabola. The equation for the axis of symmetry is x = h, where h is the x-coordinate of the vertex. If the quadratic equation is in the standard form y = ax² + bx + c, the axis of symmetry can be calculated using the formula x = -b/(2a).

For instance, if we have a quadratic equation like y = 2x² - 4x + 1, we can find the axis of symmetry by using the formula with a = 2 and b = -4 which gives us x = -(-4)/(2*2) = 1. Therefore, the axis of symmetry for this parabola is x = 1.

Answer:

Kim is 24 and her sister is 12.

Step-by-step explanation:

a) Xx2+X

I used the variable X because that represents Kim's sisters age, which you need to know in order to find out Kim's age. To get Kim's sisters age use a guess and check table or pick numbers until you get to the correct answer.

b) 12x2=24

24+12=36

My solution is Kim is 24 and her sister is 12.

Answer:

155.82 miles

Step-by-step explanation:

You multiply 6 and 25.97 to get your answer.

the answer is 155.82 miles

Answer:

2/3

Step-by-step explanation:

That ratio, right out of the box, would be cheaper / more expensive, or $0.08 / $0.12.  This can be reduced to 8/12, or 2/3.

Hi there!!

Here is the answer =

Step 1 : simplify 10^2 to 100

Step 2 : 35.5 ÷100

Answer confirmed = 0.355

Hope this helps you!!!

Final answer:

Dividing 35.5 by 10 to the power of 2 (which is 100) results in 0.355, achieved by moving the decimal point two places to the left.

Explanation:

To calculate 35.5 divided by 102, you need to understand the concept of exponents. The expression 102 means 10 multiplied by itself twice, which equals 100.

Now, dividing 35.5 by 100, you move the decimal point two places to the left because dividing by a power of 10 shifts the decimal point to the left for each zero in that power. Therefore, when 35.5 is divided by 102 it will be equal 0.355.

[tex]replace y by x and vice versa, then solve for y:

y=-2x+5 \rightarrow x=-2y+5 \implies y=-\frac{1}{2}(x-5)[/tex]

First statement : Six more than three times a number is less than or equal to 96.

Let us assume number be n.

We can repharse above statement as :

"6 more than 3 times of n is less than or equal to 96".

Therefore, we can write an ineuality as.

3 times of n = 3n

6 more than 3 times of n = 3n+6.

3n+6 ≤ 96.

_____________________________________________________________

Statement 2: Five less then half the distance from Jerod’ s home to the mall is more then 6 miles.

Let us distance from Jerod’ s home to the mall is d.

We can repharse above statement as:

5 less than 1/2 of d is more than 6 miles.

5 less than 1/2 of d = 1/2d -5 .

Therefore, we can write an ineuality as.

12d -5 > 6.

The correct answer is 4a^2 + 3ab

In order to find this, we can write the equation out as described and then follow the order of operations.

3a^2 - 2ab + 3b^2 - (-a^2 - 5ab + 3b^2) ----> Distribute the negative

3a^2 - 2ab + 3b^2 + a^2 + 5ab - 3b^2 ----> Combine like terms

4a^2 + 3ab

The subtraction -a² - 5ab + 3b² from 3a² -2ab + 3b² is -a(4a + 3b)

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Simplification is to make something easier to do or understand and to make something less complicated.

Given

-a² - 5ab + 3b² and 3a² -2ab + 3b² are the two expression.

-a² - 5ab + 3b² from 3a² -2ab + 3b², we will have

-a² - 5ab + 3b² - (3a² -2ab + 3b²)

On simplifying,

-a² - 5ab + 3b² - 3a² + 2ab - 3b²

-4a² - 3ab

-a(4a + 3b)

Thus , the subraction is -a(4a + 3b).

More about the subtraction link is given below.

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A and B because with the other three, they simplify to something else.

Eight less than a number = n - 8

One-third the number = 1/3 * n or n/3

So eight less than a number is one-third the number"

n - 8 = n/3

Answer is c) n-8 = n/3

Given

The expression is given in the question

[tex]=(x^{\frac{4}{3}}\times\ x^{\frac{2}{3}})\ ^{\frac{1}{3}}[/tex]

Find the expression is equivalent to the above expression.

To proof

As expression is given in the question

[tex]=(x^{\frac{4}{3}}\times\ x^{\frac{2}{3}})\ ^{\frac{1}{3}}[/tex]

By using the properties

product of powers property tells us that when you multiply powers with the same base you just have to add the exponents.

i.e

[tex]x^{a} .x^{b} = x^{a +b}[/tex]

Now using this in above

we get

[tex]=x^{\frac{6}{3}\times\frac{1}{3}}[/tex]

Also by using the property

[tex](x^{a} )^{b} = x^{ab}[/tex]

We get[tex]=x^{\frac{6}{9}}[/tex]

Therefore expression becomes

[tex]= x^{\frac{2}{3}}[/tex]

Hence proved

The function is not one-to-one function, hence the inverse doesn't exist for the whole domain of the function. But if we restrict the domain to [tex]x\in(-\infty,0][/tex] or [tex]x\in[0,\infty)[/tex], then we can give the inverse.

[tex]f(x)=x^2-4\\\\y=x^2-4\\\\x^2=y+4\\\\x=\sqrt{y+4} \vee x=-\sqrt{y+4}\\\\f^{-1}(x)=\sqrt{x+4}\vee f^{-1}(x)=-\sqrt{x+4}[/tex]

So, when [tex]D_{f(x)}:x\in(-\infty,0][/tex], the inverse is [tex]f^{-1}(x)=-\sqrt{x+4}[/tex] and when [tex]D_{f(x)}:x\in[0,\infty)[/tex], the inverse is [tex]f^{-1}(x)=\sqrt{x+4}[/tex].

The inverse of the function f(x) = x^2 - 4 is found by switching the x and y variables and solving for y. Because y is being squared, there are two solutions: y = ±sqrt(x + 4).

The inverse of a function f(x) is found by switching the x and y variables and solving for y. For the function f(x) = x^2 - 4, let us swap x and y, it becomes x = y^2 - 4. Next, solve for y. However, because y is being squared, there will be two solutions, one for the positive square root and other for the negative square root. Therefore, the inverse of the function f(x) = x^2 - 4 is y = ±sqrt(x + 4).

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Answer:

500,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

if the hundred is 500+ round it up...if smaller than 500 round down. (:

7 is ten times the value of 0.7

Rise over run, so 2/6. This can be simplified to 1/3. Hope this helps!

Answer:  The SLOPE of the graphed line is [tex]\dfrac{1}{3}.[/tex]

Step-by-step explanation:  We are given to find the slope of the graphed line in the figure.

From the graph, we note that

the line passes through the points (0, 2) and (6, 4).

We know that

the slope of a straight line passing through the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]

Therefore, the slope of the graphed line is given by

[tex]m=\dfrac{4-2}{6-0}=\dfrac{2}{6}=\dfrac{1}{3}.[/tex]

Thus, the SLOPE of the graphed line is [tex]\dfrac{1}{3}.[/tex]

Sorry this is not the answer but I think it will help majorly it you can replace the unknown numbers with random ones and just keep on switching it out. Hope it helps a bit.  :)

The answer to the riddle is I_SO_LATE_ME! (the underscores are the squares.

1. 3x+2=5 (o)

2. 4+9+5+x=2x (square)

3. x/4+7=12 (a)

4. 2x+3=12 (e)

5. 7x=42 (!)

6. x/5=3 (e)

7. 2x+3x+4=12 (s)

8. 3x-2=5 (square)

9.

10.

11.

12.

13.

Hey there!:

- 10 e + 15 = 95 - 30 e

subtract  15 from both sides:

- 10 e + 15 - 15 = 95 - 30 e - 15

Simplify :

- 10 e  = - 30 e + 80

Add 30 e to both sides:

- 10 e + 30 e  = - 30 e + 80 + 30 e

Simplify:

20 e = 80

e = 80 / 20

e = 4

hope that helps!