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Lyrx [107]
3 years ago
6

((Please help)) Sales Price $21, 30% off Find Regular Price

Mathematics
2 answers:
Elan Coil [88]3 years ago
8 0

Answer: Original/regular price= $30

Step-by-step explanation:

Make an equation

x(0.7)=21

(Why 0.7, because since it’s 30 percent off and every percent is 100 so your technically paying 70 percent of the regular price)

Simplify the equation:

21/0.7=30

X=30

DedPeter [7]3 years ago
5 0

Answer:

I think the anser maybe 17 don't trust me bc im not quit sure

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I need help , I don’t understand this
marta [7]
#2. First, we factor each polynomial. Then, if any terms on both the top and the bottom of the fraction match, they cancel out. So... we do just that. You end up with:

\frac{x(x-4)}{(x+9)(x-4)}

Notice there's an (x-4) on both top and bottom. So they cancel out. That leaves us with your answer of \frac{x}{(x+9)}

#3. We do the same thing as above then multiply and simplify. In the interest of space, I'll cut straight to some simplification. 

\frac{2(x+2)^{3} }{6x(x+2)} ( \frac{5}{(x-2)^{2} } )

Now we start cancelling. For the first fraction, there are 3 (x+2)'s on top and 1 on the bottom so we will cancel out the one on the bottom and leave 2 (x+2)'s on top. There are no more polynomials to cancel out so now we multiply across:

\frac{10(x+2)^{2} }{6x(x-2)^{2} }

10 and 6 share a GCF of 2 so we divide both of those by 2. This leaves us with the final answer of:

\frac{5(x+2)^{2} }{3x(x-2)^{2} }

#4. This equation introduces division and because of it, we must flip the second fraction to make the division sign into a multiplication symbol. Again for space, I'll flip the fraction and simplify in one step. 

\frac{3(x+2)(x-2)}{(x+4)(x-2)} ( \frac{x+4}{6(x+3)})

Now we do our cancelling. First fraction has (x - 2) in the top and bottom. They're gone. The first fraction has a (x + 4) on the bottom and the second fraction has one on the top. Those will also cancel. This leaves you with:

\frac{3(x+2)}{6(x+3)}

3 and 6 share a GCF of 3 so we divide both numbers by this. This leaves you with your final answer:

\frac{x+2}{2(x+3)}

#5. We are adding so we first factor both fractions and see what we need to multiply by to make the denominators the same. I'll do the former first. (10 - x) and (x - 10) are not the same so we multiply the first equation (top and bottom) by (x - 10) and the second equation by (10 - x). Because they will now have the same denominator we can combine them already. This gives us:

\frac{(3+2x)(x-10)+(13+x)(10-x)}{(10-x)(x-10)}

Now we FOIL each to expand and then simplify by combining like terms. Again for space, I'm just showing the result of this; you end up with:

\frac{x^{2}-20x+100}{(10-x)(x-10)}

Now we factor the top. This gives you 2 (x - 10)'s on top and one on bottom. So we just leave one on the top and cancel the bottom one out. This leaves you with your answer:

\frac{x+10}{10-x}

#6. Same process for this one so I won't repeat. I'll just show the work.

\frac{3}{(x-3)(x+2)} +  \frac{2}{(x-3)(x-2)} becomes

\frac{3(x-2) + 2(x+2)}{(x-3)(x+2)(x-2)} which equals

\frac{3x - 6 + 2x + 4}{(x-3)(x+2)(x-2)} giving you the final answer

\frac{5x - 2}{(x-3)(x+2)(x-2)}

#7. For this question we find the least common denominator to make the denominators match. For 5, x, and 2x, the LCD is 10x. So we multiply top and bottom of each fraction by what would make the bottom equal 10x. This rewrites the fraction as:

\frac{3x}{5} ( \frac{2x}{2x}) * ( \frac{5}{x}( \frac{10}{10}) -  \frac{5}{2x} ( \frac{5}{5}))

Simplify to get:

\frac{3x}{5}  * ( \frac{25}{10x})

After simplifying again, you end up with your final answer: 

\frac{3}{2}




8 0
3 years ago
Maria has a bag with 6 red marbles , 6 blue marbles , and 4 green marbles . Without looking Maria pick one marble. She does not
podryga [215]
40%

The probability of her getting a red marble is the number of red marbles divided by the number of total marbles. Since she picked a green marble first, we must subtract one marble from the total number of marbles, so that the total # of marbles is 6 + 6 + 4 = 16 - 1 (green marble) = 15. Since there are 6 red marbles, our probability is 6/15 or 2/5. Converted to percentage form, this is 0.4 —> 40%
7 0
3 years ago
Draw and write to explain how these two problems are different 35-15=. And 43-26=.
Rashid [163]
35-15 is 20. and 43-26 is 17. These two are different because you are regrouping in the 2d problem, as in the first, you just subtract. 
3 0
3 years ago
Read 2 more answers
3x - 3y = 9 and x + 3y = 12 <br> Elimination
Firlakuza [10]

Answer:

x=5.25,y=2.25

Step-by-step explanation:

We can add the two equations to eliminate the variable y and solve for x:

3x-3y+x+3y=9+12

4x=21

x=5.25

Now, we can use substitution to solve for y:

x+3y=12 (given)

5.25+3y=12

3y=12-5.25

=6.75

y=2.25

Hope this helps :)

8 0
3 years ago
For the function f defined below, what is the value of f(-1)? fx=x+3<br> -----<br> 2
Pepsi [2]

Answer:

6) C 1

7) A 3 (im not sure for this one because it's blurry)

8) C 1

Step-by-step explanation:

6) Replace the f(x) for -1 since we are told f(x) = -1. We then need to use the inverse operation to get x by itself.

- 1 =  \frac{x - 3}{ 2}

Since the opposite of division (which is indicated by the fraction line) is multiplication, we need to multiply the number on the left (-1) times 2.

- 2 = x - 3

For this step, the opposite of subtraction is addition so in this step, we must add 3 to -2.

1 = x

7) Can't explain cause I'm not sure if I'm right

8) To find out the slope of two coordinates we must use the following to determine it.

<h3>(IN THE PICTURE ATTACHED)</h3>

In this case, the y with the little two will be 4 and the y with the little one is 1. 4-1 is 3 and that's the y cooridnate sorted

For the x coordinate, the x with the little two is 1 and the x with the little one is -2. Thus, we must solve 1-(-2) which also equals 3.

<h3>Since the final coordinates are 3/3 and it simplifies, the final answer is 1.</h3>

6 0
2 years ago
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