What is 156.789 rounded to the nearest tenth?

Decide whether the rates are equivalent.

Gnom [1K]

Answer:

The rates are equal.

Step-by-step explanation:

To compare these rates, convert them to a unit rate. Divide both the numerator and denominator by the denominator. If you were to express 126 points every 3 games as a fraction:

$\frac{126}{3}$

Now, divide both the top and the bottom by 3:

$\frac{126\div3}{3\div3}=\frac{42}{1}=42$

That is a unit rate of 42 points per game.

Next, do the same thing for the other rate:

$\frac{210}{5}=\frac{210\div5}{5\div5}=\frac{42}{1}=42$

This is also a unit rate of 42 points per game, so the rates are equal.

6 0

3 years ago

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A 2-feet wide manhole cover is designed to cover a manhole opening on the street.

makvit [3.9K]

Approximately 9.4
Hope this helps :)

5 0

3 years ago

A video store specializes in three types of movies: children's, American West, and horror. It's known that:

xenn [34]

X, y, z denote children's movies, western movies, and horror movies, respectively. The related system of equations is formed and solved.

$\left\{\begin{matrix} \qquad\qquad\ \dfrac{60}{100}x + \dfrac{50}{100}y =\dfrac{30}{100}(x+y+z)\\ \dfrac{20}{100}x+ \dfrac{60}{100}y+ \dfrac{60}{100}z= \dfrac{1}{2}(x+y+z) \\ \ \ \ x+100=y \end{matrix} \right.\$

Simplifying the system of equations, we have

$\left\{\begin{matrix} 3x + 2y -3z=0\\ -3x+ y+ z= 0 \\ \ \ \ x+100=y \end{matrix} \right.\ \ \Longrightarrow \ \left\{\begin{matrix} 5x-3z=-200\\ -2x+ z= -100 \end{matrix} \right.\$

$\ \ \ 5x-3z=-200\\\underline{-6x+3z=-300} \ \Rightarrow \ x=500\\\ \ -x+0= \ 500$

$y&=500+100=600\\ z&=3(500)-600=900$

The video store has 500 children's movies, 600 westerns and 900 horror movies.

6 0

2 years ago

The tubs are similar in shape.

faltersainse [42]

Answer:

The tube are similar in shape.

The height of the small tub is 5 cm.

The volume of the small tube is 150 cm3.

The volume of the large tub is 500 cm3.

Work out the height of the large tub.

Give your answer correct to 3 significant figures.

Step-by-step explanation: Hope this help(:

3 0

1 year ago

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7) The two towers on a suspension bridge will be 50 feet high and 300 feet apart. The two supporting cables are connected at the

Alborosie

Answer:

f(x) = x^2/500 + 5

f(100) = 100^2/500+5 = 25

Cable is 25 feet above road 100 feet from center of bridge.

Step-by-step explanation:

Assume towers are 50 feet above the road and the road is flat and level.

Tower bases are (-150,0) and (150,0).

Tower tops are (-150,50) and (150,50).

Center of bridge at roadway is (0,0).

Minimum height of parabola is (0,5).

f(x) = ax^2 + bx + c

The parabola is symmetrical about the y axis so b = 0

Constant term c = 5.

f(0)=5

f(150)=f(-150)=50.

a × 150^2 + 5 = 50

a = 45/(150^2) = 5/(50^2) = 1/500

f(x) = x^2/500 + 5

f(150) = 150^2/500+5 = 50✔

f(100) = 100^2/500+5 = 25

4 0

3 years ago