Ask question

Ask question

All categories

3 years ago

14

Solve the linear equation. 8x 32=1/5(25x−15)−4x. for x.

1 answer:

Dahasolnce [82]3 years ago

6 0

There is no sign before 32 is given in the equation. I am showing the work with +32.

8x+32=1/5(25x−15)−4x.

$8x+32=5x-3-4x$ By distribution property.

8x+32=x-3 Combine the like terms.

8x=x-3-32 Subtract 32 from each sides.

8x=x-35 Combine the like terms.

8x-x=-35 Subtract x from each sides.

7x=-35

$\frac{7x}{7} =-\frac{35}{7}$ Divide each sides by 7.

So, x=-5

You might be interested in

What do you get when you multiply 3x(8x-11)

Masteriza [31]

2.18 that will be ur answer

3 0

4 years ago

Read 2 more answers

Use Theorem 2.1.1 to verify the logical equivalence. Give a reason for each step. -(pv –q) v(-p^q) = ~p

sertanlavr [38]

Answer:

The statement $\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q)$ is equivalent to $\lnot p$ , $\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) \equiv \lnot p$

Step-by-step explanation:

We need to prove that the following statement $\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q)$ is equivalent to $\lnot p$ with the use of Theorem 2.1.1.

So

$\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) \equiv$

$\equiv (\lnot p \land \lnot(\lnot q))\lor(\lnot p \land \lnot q)$ by De Morgan's law.

$\equiv (\lnot p \land q)\lor(\lnot p \land \lnot q)$ by the Double negative law

$\equiv \lnot p \land (q \lor \lnot q)$ by the Distributive law

$\equiv \lnot p \land t$ by the Negation law

$\equiv \lnot p$ by Universal bound law

Therefore $\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) \equiv \lnot p$

4 0

3 years ago

Manuel takes a job translating English instruction manuals to Spanish. He will receive $15

12345 [234]

Answer:

15x+100(3) ≥ $1500

x ≥ 80 pages

Step-by-step explanation:

Let x represent the number of pages.

Manuel receives $15 per page = 15x

Plus $100 per month. Manuel would like to work for 3 months = 15x+100(3)

He wants to make at least $1500 during the summer

Thus the inequality we get is:

15x+100(3) ≥ $1500

Now solve the equation to find minimum number of pages:

15x+300 ≥ $1500

Combine the like terms:

15x ≥ 1500-300

15x ≥ $1200

Divide both sides by 15

15x ≥ $1200/15

x ≥ 80 pages

3 0

3 years ago

Ben sells 7/12 of the pottery he made. Of the remaining pottery , 3/5 are vases and the rest are bowls. What fraction of all the

aleksandrvk [35]

14/60 unsold bowls
7/12×3/5=21/60
7/12=35/60
35/60-21/60=14/60
~Jz
Hope it helps!

6 0

3 years ago

The whole garden is a square, with each side 50 meters long

REY [17]

Answer:

2500

Step-by-step explanation

A=a^2

50*50=2500

5 0

3 years ago

Read 2 more answers