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3 years ago

Simplify the following: 3(-3 + 5x) -1 (4 - 4x)

Mathematics

1 answer:

Gnesinka [82]3 years ago

8 0

3(-3 + 5x) -1 (4 - 4x)

Simplify each term by first using the distributive property with each set of parenthesis:

3*-3 + 3*5x - 1*4 -1* -4x

Now do the multiplications:

-9 + 15x -4 + 4x

Combine like terms

15x +4x - 9 -4

19x - 13

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3. A train set costs $120.00. Find the discount if it is on sale for 30% off.

Leno4ka [110]

Answer:

Step-by-step explanation:

To find the discount, you will need to find 30% of $120, so you will need to do:

120*0.3=36

Also, if you were asking for the COST if it was 30% off, it would be 84 as 120-36=84.

(I hope this helps!)

4 0

3 years ago

Read 2 more answers

Solve 6 over x minus 3 equals 3 over x for x and determine if the solution is extraneous or not

Natali5045456 [20]

Answer:

x = 1

This is the equation that I interpreted:

6/(x) - 3 = 3/(x)

I have never worked with determining extraneous equations before, so I cannot answer the second part.

8 0

3 years ago

On the first day of sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $6

denis-greek [22]

ANSWER:

The price of senior citizen ticket is $4 and price of child ticket is $7.

SOLUTION:

Given, first day of sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75.

The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets.

We need to find what is the price each of one senior citizen tickets and one child tickets.

Let, the price of senior citizen ticket be "x" and price of child ticket be "y"

Then according to the given information,

3x + 9y = 75

x + 3y = 25 [by cancelling the common term 3.

x = 25 – 3y ---- (1)

And, 8x + 5y = 67 ---- (2)

Substitute (1) in (2)

8(25 – 3y) + 5y = 67

200 – 24y + 5y = 67

5y – 24y = 67 – 200

-19y = -133

y = $\frac{133}{19}$

y = 7

Now substitute y value in (1)

x = 25 – 3(7)

x = 25 – 21 = 4

Hence, the price of senior citizen ticket is $4 and price of child ticket is $7.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=5xy%20%7B%20-%20x%7D%20%5E%7B2%7D%20%7Bt%7D%20%20%2B%202xy%20%2B%203x%20%7B%7D%5E%7B2%7D%20t"

fenix001 [56]

Answer: 7xy + 2x^2t

Step-by-step explanation:

6 0

2 years ago

Which expression is equivalent to (3−2^2) 5 ? 5−3^2 5−2^2 2^2−5 3^2−5

tamaranim1 [39]

Well (3-2^2)5 = -5
and 5-3^2=-4
5-2^2=1
2^2-5=-1
3^2-5=4
but if you have to multiply them by 5 as well then (2^2-5)5=-5

8 0

3 years ago