To work out who the unknowns in the room are, we can establish that c = p+ 9
c + p = 25. The unknowns in the room are there the total number of parents in the room, and the total number of teachers in the room.

6 0

2 years ago

Write at least 2 numerical expressions for each written phrase below. Then, solve.

zloy xaker [14]

Answer:

a. $\frac{3}{5}(7)\text{ or }\frac{3\times 7}{5}$

b. $\frac{1}{6}(4\times 8)\text{ or }\frac{4\times 8}{6}$

Step-by-step explanation:

In numerical expressions we write numbers with the mathematical symbols ( i.e. '+', '-' etc )

a. Given phrase,

Three fifths of seven,

$\frac{3}{5}(7)$

$=\frac{3\times 7}{5}$

$=\frac{21}{5}$

$=4\frac{1}{5}$

b. One sixth the product of four and eight,

$\frac{1}{6}(4\times 8)$

$=\frac{4\times 8}{6}$

$=\frac{32}{6}$

$=5\frac{1}{3}$

7 0

3 years ago

Given that cosΘ = -square root 2/2 and that Θ lies in quadrant III, determine the value of sinΘ.

Reptile [31]

Answer:

C) (square root 2)/2

Step-by-step explanation:

In quadrant III, the sine of an angle is positive. The value will be ...

sin(Θ) = √(1 -cos(x)^2) = √(1 -(-√2/2)^2) = √(2/4)

sin(Θ) = (√2)/2

6 0

1 year ago

Write the equation for the graphed function. I worked out y = 5 - 4 (x + 4)^2 but that isn't right. Any help would be appreciate

alexira [117]

Vertex form for a parabola with vertex (p,q) is

$y = a(x-p)^2 + q$

We have (p,q)=(-4,5) and another point (-3,2) so we can solve for <em>a:</em>

$2 = a(-3 - -4)^2 + 5$

$2 = a + 5$

$a = -3$

Putting it together,

Answer: $y = -3(x + 4)^2 + 5$

We could multiply that out if we like but I won't bother.

5 0

3 years ago