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2 years ago

The variable x and y vary directly. Write an equation that relates x and y. Then find y when x = 12.

Mathematics

1 answer:

EastWind [94]2 years ago

5 0

Answer:

Step-by-step explanation:

$y=kx$

at (4, 8): 8 = 4k ⇒ k = 2

So $y=2x$

when $x=12$ , $y=2 \times 12=24$

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Round 6.94729776259 to 5 decimal places.

blagie [28]

Answer

6.9473

Step-by-step explanation:

7 0

3 years ago

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,

Distance = 400m

Time = 43 sec

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

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

3 years ago

A taxi company manager is trying to decide whether the use of radial tires instead of regular belted tires improves fuel economy

siniylev [52]

Answer:

Step-by-step explanation:

Corresponding gasoline consumption when radial tires is used and gasoline consumption when regular belted tires is used form matched pairs.

The data for the test are the differences between the gasoline consumption when radial tires is used and gasoline consumption when regular belted tires is used.

μd = the gasoline consumption when radial tires is used minus the gasoline consumption when regular belted tires is used.

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

The resulting p-value was .0152.

Since alpha, 0.05 > than the p value, 0.0152, then we would reject the null hypothesis. Therefore, at 5% significance level, we can conclude that the gasoline consumption when regular belted tires is used is higher than the gasoline consumption when radial tires is used.

7 0

3 years ago

write a linear equation that has a slope of 1/2 and a y-intercept at the origin. (y=1/2x) (y=0x+1/2) (y=1/2x+1/2) (y=-1/2x)

Nesterboy [21]

Answer:

The linear equation with given slope and y-intercept is:

Option 1: $y = \frac{1}{2}x$

Step-by-step explanation:

The slope-intercept form of equation is given by:

$y = mx+b$

Here

m is the slope of the line and b is the y-intercept.

Given that

Slope of line is 1/2 so m = 1/2

And y-intercept is on origin so b = 0

Putting the values we get

$y = \frac{1}{2}x+0\\y = \frac{1}{2}x$

Hence,

The linear equation with given slope and y-intercept is:

Option 1: $y = \frac{1}{2}x$

3 0

3 years ago

Whats the inequality of R-2<7

VashaNatasha [74]

Answer:

R=9

Step-by-step explanation:

Change the sign of -2 to 2

Add 2 to 7

5 0

3 years ago