All categories

3 years ago

HELP ME!! Solve 1/2(10x + 6) + 3/4 (8x + 3)

Mathematics

2 answers:

Elenna [48]3 years ago

8 0

Answer:

11x+5.25

Step-by-step explanation:

Open the brackets

1/2 x 10x= 5x, 1/2 x 6 =3

3/4 x 8x=6x, 3/4 x 3 =2.25

Like terms together

5x + 6x + 3 + 2.25

Answer

11x + 5.25

Ede4ka [16]3 years ago

8 0

Answer: 11x+21/4

Step-by-step explanation:

So I shared in the () and then I add them all by making them all having the same denominator and then add them all again , it’s easier to understand with my work .

Hope it helped:)

Have an amazing day.

You might be interested in

Factor the polynomial, x2 + 5x + 6

patriot [66]

Answer:

Choice b.

$x^{2} + 5\, x + 6 = (x + 3)\, (x + 2)$ .

Step-by-step explanation:

The highest power of the variable $x$ in this polynomial is $2$ . In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to $0$ .)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to $0$ . The discriminant of this polynomial is $(5^{2} - 4 \times 1 \times 6) = 1$ .

$\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}$ .

Similarly:

$\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}$ .

By the Factor Theorem, if $x = x_{0}$ is a root of a polynomial, then $(x - x_0)$ would be a factor of that polynomial. Note the minus sign between $x$ and $x_{0}$ .

The root $x = -2$ corresponds to the factor $(x - (-2))$ , which simplifies to $(x + 2)$ .
The root $x = -3$ corresponds to the factor $(x - (-3))$ , which simplifies to $(x + 3)$ .

Verify that $(x + 2)\, (x + 3)$ indeed expands to the original polynomial:

$\begin{aligned}& (x + 2)\, (x + 3) \\ =\; & x^{2} + 2\, x + 3\, x + 6 \\ =\; & x^{2} + 5\, x + 6\end{aligned}$ .

4 0

2 years ago

After lunch, you see the bumper cars and want to ride them. Here’s what the sign says:

NemiM [27]

Answer:

The option of 6 minutes with 8 tickets given more time for the money.

Step-by-step explanation:

Which one gives you more time for your money?

We have to find the time per ticket, which is the number of minutes divided by the number of tickets.

6 minutes: 8 tickets

6/8 = 0.(60/8) = 0.75 minutes per ticket.

8 minutes:12 tickets

8/12 = 2/3 = 0.(20/3) = 0.667 minutes per ticket.

So the option of 6 minutes with 8 tickets given more time for the money.

7 0

2 years ago

Which of the following is equivalent to <br><br> 5t−2r=25

lidiya [134]

Answer:

Solving for t : t=5+2r/5

Solving for r : r=-25/2+5t/2

Step-by-step explanation: Move all of your terms that don't contain r to the right side and solve. Move all terms that don't contain t to the right side and solve.

Hope this helps you out! ☺ I just solved it and I don't have any choices to go off of and so I just solved it. Sorry if it's wrong. ☺

3 0

3 years ago

Your parents took your family out to dinner. the parents wanted to give the waiter a 15% tip. if the total amount of the dinner

DerKrebs [107]

Answer:

$6.30

Step-by-step explanation:

Your parents took your family out to dinner. the parents wanted to give the waiter a 15% tip. if the total amount of the dinner was $42,00 what should be paid to the waiter as a tip?

7 0

3 years ago

Read 2 more answers

What are the amplitude, period, and midline of f(x) = 5 sin(x − π) + 3?

Semmy [17]

Answer:

amplitude: 5; period: 2π; midline: y = 3

Step-by-step explanation:

7 0

3 years ago