Mr.Mckay bought b boxes of crackers for $3 each and p pounds of cheese for $4 per pound.How much did he spend in all.

6. Michael Johnson holds the Olympic record for the men's 400m race at 43 seconds. His

vlada-n [284]

The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second

Step-by-step explanation:

We have to calculate his unit rate for both type of races

So,

Unit rate for 400m race:

Distance = 400m

Time = 43 sec

$Unit\ rate = U_1= \frac{Distance}{Time}\\=\frac{400}{43}\\=9.30\ meters\ per\ second$

Unit rate for 300m Race:

Distance = 300m

Time = 31 sec

$Unit\ Rate= U_2=\frac{300}{31}\\=9.68\ meters\ per\ second$

The difference between both unit rates is:

$U_2-U_1 = 9.68-9.30\\=0.38 => 0.4\ meters\ per\ sec$

Hence,

The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second

Keywords: Unit rate, Speed

Learn more about unit rate at:

#LearnwithBrainly

7 0

2 years ago

A telephone booth that is 8 ft tall casts a shadow that is 4ft long. Find the height of a lawn ornanment that casts a 2 ft shado

sukhopar [10]

8 ft /4 ft of shadow=x / 2 ft of shadow
x=(8 ft * 2 ft of shadow) / 4 ft of shadow=4 ft

height of a lawn ornament=4 ft

5 0

2 years ago

It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.

vova2212 [387]

Answer:

300%

Step-by-step explanation:

Given

$y\ \alpha\ \frac{1}{x^2}$

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

$y\ = \ \frac{k}{x^2}$

Where k is the constant of proportionality

When x decreased by 50%

$Y = \frac{k}{(x - 0.5x)^2}$

$Y = \frac{k}{(0.5x)^2}$

$Y = \frac{k}{0.25x^2}$

Expand

$Y = \frac{1}{0.25} * \frac{k}{x^2}$

Substitute $\frac{k}{x^2}$ for y

$Y = \frac{1}{0.25} * y$

$Y = 4 * y$

$Y = 4 y$

The percentage change is then calculated as:

$\%Change = \frac{Y - y}{y} * 100\%$

$\%Change = \frac{4y - y}{y} * 100\%$

$\%Change = \frac{3y}{y} * 100\%$

$\%Change = 3 * 100\%$

$\%Change = 300\%$

The percentage in y is 300%

7 0

2 years ago

I neeedddd help. I am not understanding. Can someone help?/ explain this?

zysi [14]

Answer:

F= 4 4/6

Step-by-step explanation:

Lets break it down

3 1/6 + f - 7 5/6

3 plus what equals 7 answer 4!

1/6 pls how many more sixths equals 5/6th answer 4/6 ths

so overall you combine the two answers for whole and fraction an

8 0

2 years ago

Write a linear function with the values (-1,8) and (5,6)

valentina_108 [34]

Let the function be y = ax + c.

For (-1,8), 8 = a(-1) + c → 8 = - a + c

For (5,6), 6 = a(5) + c → 6 = 5a + c

Subtract one from abother,

2 = - 6a => - 1/3 = a

Hence, 8 = - 1/3 + c → 23/3 = c

Relation is:

y = (-1/3)x + (23/3)

3y = - x + 23

3y = 23 - x

8 0

3 years ago