All categories

3 years ago

Three times the sum of a number and seven,all divided by four

Mathematics

1 answer:

ASHA 777 [7]3 years ago

7 0

Answer:

3(x+7)/4

Step-by-step explanation:

Three times the sum of a number and 7 will be 3(x+7) because it is triple the amount of that unknown number plus seven and then after that we divide what we get from 3(x+4) and divide that by 4 which makes the equation 3(x+7)/4.

You might be interested in

On Tuesday a local hamburger shop sold a combined total of 237 hamburgers and cheeseburgers. The number of cheeseburgers sold wa

AlekseyPX

Answer 79

Method trial and error until 158 cheeseburger and 79 hamburger

7 0

4 years ago

If $4200 is invested into a savings account for which interest is compounded semiannually, and if the $4200 turns into $4900 in

serg [7]

x = interest rate

solve for x

4900 = 4200(1+x/2)^8

x = 0.0389 = 3.89%

6 0

3 years ago

Read 2 more answers

Hi, does anyone know the answer to this question? I’m bad at geometry and I’m struggling to answer it.

pashok25 [27]

Answer:

4th option

Step-by-step explanation:

Given

A (- 5, 13 ) → A' (2, 9 )

- 5 → 2 → + 7 in the x- direction

13 → 9 → - 4 in the y- direction

The translation rule is

(x, y ) → (x + 7, y - 4 ) , then

B (4, - 2 ) → B' (4 + 7, - 2 - 4 ) → B' (11, - 6 )

3 0

3 years ago

The profit function p(x) of a tour operator is modeled by p(x) = −2x^2 + 700x − 10000, where x is the average number of tours he

pav-90 [236]

Answer:

Range of the average number of tours is between 150 and 200 including 150 and 200.

Step-by-step explanation:

Given:

The profit function is modeled as:

$p(x)=-2x^2+700x-10000$

The profit is at least $50,000.

So, as per question:

$p(x)\geq50000\\-2x^2 + 700x-10000\geq 50000\\-2x^2+700x-10000-50000\geq 0\\-2x^2+700x-60000\geq 0\\\\\textrm{Dividing by 2 on both sides, we get}\\\\-x^2+350x-30000\geq 0$

Now, rewriting the above inequality in terms of its factors, we get:

$-1(x-150)(x-200)\geq 0\\(x-150)(x-200)\leq 0$

Now,

$x0\\x>200,(x-150)(x-200)>0\\For\ 150\leq x\leq200,(x-150)(x-200)\leq 0\\\therefore x=[150,200]$

Therefore, the range of the average number of tours he must arrange per day to earn a monthly profit of at least $50,000 is between 150 and 200 including 150 and 200.

7 0

3 years ago

Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of drinks s

aleksley [76]

The equation should have been written as 1.25x+1.49y=100.

The error made in the first equation was that Barbara did not include a variable next to the term 1.49. Since the ice tea is sold for $1.49 per bottle, a variable should be included to represent however many bottles of iced tea she sold.

6 0

3 years ago

Read 2 more answers