At a local movie theater, the ratio of adult tickets sold to children's tickets sold is 5 to 6

1 point

Dovator [93]

Answer:

16,800

Step-by-step explanation:

350 * 49 = 16,800

3 0

3 years ago

Read 2 more answers

A tank hold a volume of 32m3 what is the new volume of an enlarged tank of the scale factor is 5 ?

kirill [66]

Answer:

The new volume of an enlarged tank is 4000m³

Step-by-step explanation:

The scale factor has to be multiplied by the width, length and height so we will have to multiply it 3 times

h * w * l = 32 m³

(h*5) * (w*5) * (l*5)

if we rearrange the multiplications

(h * w * l) * 5 *5 * 5 =

v * 5 * 5 * 5 =

32m³ * 5 *5 *5 = 4000m³

4 0

3 years ago

Find a set of parametric equations for y= 5x + 11, given the parameter t= 2 – x

Sati [7]

Answer:

$x = 2-t$ and $y = -5\cdot t +21$

Step-by-step explanation:

Given that $y = 5\cdot x + 11$ and $t = 2-x$ , the parametric equations are obtained by algebraic means:

1) $t = 2-x$ Given

2) $y = 5\cdot x +11$ Given

3) $y = 5\cdot (x\cdot 1)+11$ Associative and modulative properties

4) $y = 5\cdot \left[(-1)^{-1} \cdot (-1)\right]\cdot x +11$ Existence of multiplicative inverse/Commutative property

5) $y = [5\cdot (-1)^{-1}]\cdot [(-1)\cdot x]+11$ Associative property

6) $y = -5\cdot (-x)+11$ $\frac{a}{-b} = -\frac{a}{b}$ / $(-1)\cdot a = -a$

7) $y = -5\cdot (-x+0)+11$ Modulative property

8) $y = -5\cdot [-x + 2 + (-2)]+11$ Existence of additive inverse

9) $y = -5 \cdot [(2-x)+(-2)]+11$ Associative and commutative properties

10) $y = (-5)\cdot (2-x) + (-5)\cdot (-2) +11$ Distributive property

11) $y = (-5)\cdot (2-x) +21$ $(-a)\cdot (-b) = a\cdot b$

12) $y = (-5)\cdot t +21$ By 1)

13) $y = -5\cdot t +21$ $(-a)\cdot b = -a \cdot b$ /Result

14) $t+x = (2-x)+x$ Compatibility with addition

15) $t +(-t) +x = (2-x)+x +(-t)$ Compatibility with addition

16) $[t+(-t)]+x= 2 + [x+(-x)]+(-t)$ Associative property

17) $0+x = (2 + 0) +(-t)$ Associative property

18) $x = 2-t$ Associative and commutative properties/Definition of subtraction/Result

In consequence, the right answer is $x = 2-t$ and $y = -5\cdot t +21$ .

5 0

3 years ago

Simplify the expression to a polynomial in standard form. (x-2)(x2 +7x +4)

goldenfox [79]

Answer:

Step-by-step explanation:

(x - 2)(x² + 7x + 4) = x(x² + 7x + 4) - 2*(x² + 7x + 4)

= x*x² + x*7x + 4*x - 2*x² -2* 7x -2* 4

= x³ + 7x² + 4x - 2x² -14x -8

= x³ + 7x² - 2x² + 4x - 14x - 8

= x³ + 5x² - 10x - 8

5 0

2 years ago

If you flipped the coin 100 times, how many heads would you expect to get? Explain your answer.

Irina18 [472]

Answer:

You would expect to get 50 heads

Step-by-step explanation:

Each time you flip a coin you will either get heads or tails. This means that you have a 1/2 probability of getting heads. If you use this then you need to multiply 1/2 and 100 to get the expected amount of heads. Multiplying by a half is just dividing by 2. Therefore, the answer is 100/2 = 50. The answer is 50 heads

5 0

3 years ago