The area of a rectangle is 12x^2-8x-15. The width is (2x-3). What is the length of the rectangle?

The neiman family went out to dinner. How much will they pass altogether if their dinner bill came to 78.52 and they tip 18%

nata0808 [166]

That would be a $14.13 tip
so 78.52+14.12= 92.65
$92.65

3 0

3 years ago

A school has 17 tables in the cafeteria. Each table seats 12 students. What is the

Scorpion4ik [409]

Answer: 204 students

Step-by-step explanation: To find out the greatest number of students that can fit at the 17 tables in the school cafeteria, we simply need to multiply the number of students that can fit at each table by the number of tables.

12 students can fit at 1 table and there are 17 tables.

So we have (12)(17) which is 204.

So the greatest number of students that can be seated din the cafeteria is 204 students.

8 0

3 years ago

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4. Two points on a line are (-10, 1) and (5, -5). If

Vsevolod [243]

Answer:

The x-coordinate of another point is zero

Step-by-step explanation:

step 1

Find the slope between the two given points

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$(-10,1),(5,-5)$

substitute in the formula

$m=\frac{-5-1}{5+10}$

$m=\frac{-6}{15}$

Simplify

$m=-\frac{2}{5}$

step 2

Find the x-coordinate of another point

we have

(x,-3)

we know that

If the other point is on the line, then the slope between the other point and any of the other two points must be the same

so

Find the slope between the points

$(x,-3),(5,-5)$

Remember that

$m=-\frac{2}{5}$

substitute in the formula

$-\frac{2}{5}=\frac{-5+3}{5-x}$

$-\frac{2}{5}=-\frac{2}{5-x}$

the denominators must be the same

$5=5-x$

$x=0$

therefore

The x-coordinate of another point is zero

3 0

3 years ago

Andres boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rot

Gelneren [198K]

Answer:

a) r(t) = 0.783t radians

b) h(t) = 30cos(0.783*t) feet

Step-by-step explanation:

The situation is depicted in the picture attached

<h3>(see picture) </h3>

Since the angular speed is constant, to find an expression for the angle r(t) in radians we just cross-multiply using the fact that 1 min = 60 seconds

4.7 radians __________ 60 seconds

r(t) radians ____________ t seconds

$\large \displaystyle\frac{4.7}{r(t)}=\displaystyle\frac{60}{t}\Rightarrow r(t)=(4.7/60)t \Rightarrow\\\\\boxed{r(t)=0.783t\;rad}$

The height h(t) after t seconds is given by

h(t) = 30cos(r(t)) ===>

h(t) = 30cos(0.783*t) feet

7 0

3 years ago

The cost formula for a company can be modeled by C = 38 x + 19100 where x represents the number of items made. A formula for the

ruslelena [56]

Answer: The company must sold 382 units to break even.

Step-by-step explanation:

Hi, there is no question asked, so I suppose that you need to find the number of items (x) to break even.

To answer this question we have to equal both sides of the equations:

Since costs equal its income:

C=R

So:

38x +19100= 88x

Solving for x

19100= 88x-38x

19100=50x

19100/50 =x

382=x

The company must sold 382 units to break even.

Feel free to ask for more if needed or if you did not understand something.

3 0

4 years ago

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