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1 year ago

Lewis was driving at 90 km per hour when he sneezed.

Mathematics

1 answer:

Maksim231197 [3]1 year ago

5 0

Answer:

12.5 m

Step-by-step explanation:

recall that 1 km = 1000 m

hence 90 km/h is equivalent to 90 km/h x 1000 m/km = 90,000 m/hr

also recall that 1 hour = 60 x 60 = 3600 s

hence 90,000 m/hr is equivalent to 90,000 m/hr x (1/3600) hr/s = 25 m/s.

given that is eyes were closed for 0.5 s.

in 0.5s, he travelled :

0.5s x 25 m/s = 12.5 m

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Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’

Nadusha1986 [10]

Answer:

Isaac's total bill is $84.53

Step-by-step explanation:

$37.00 + $42.00 = $79.00 < b (bill)

b + t (sales tax) = c (total cost)

(7%/100 = 0.07)

(0.07 * 79 = 5.53)

(t = $5.53)

$79.00 + $5.53 = $84.53

Good luck!!

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1 year ago

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Peter wants to fence the park in front of his home on three sides which measure 152m 40cm, 205m 10cm, 310m 39cm. What is the tot

Tpy6a [65]

One centimenter is 0.01 meters. So, you can write the measures as

$152.40\text{m},\quad 205.10\text{m},\quad 310.39\text{m}$

Once this rewriting is done, getting the total length $T$ is quite trivial, since all measurements are in the same unit, and we can simply sum everything:

$T = 152.40+205.10+310.39 = 667.89$

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1 year ago

A new car is purchased for 15300 dollars. The value of the car depreciates at 14.25% per year. What will the value of the car be

Andrei [34K]

Answer:

$\$6,082.70$

Step-by-step explanation:

we know that

The formula to calculate the depreciated value is equal to

$V=P(1-r)^{x}$

where

V is the depreciated value

P is the original value

r is the rate of depreciation in decimal

x is Number of Time Periods

in this problem we have

$P=\$15,300\\r=14.25\%=0.1425\\x=6\ years$

substitute in the formula

$V=15,300(1-0.1425)^{6}$

$V=15,300(0.8575)^{6}$

$V=\$6,082.70$

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2 years ago

Georgie joins a gym. She pays $25 to sign up and then $15 each monthLabel the y-intercept, the slope, and your axes.

Degger [83]

The first thing you should do for this case is to find the equation of the line that best suits the problem and then plot it.

Let X: number of months and: amount paid.

The equation of the line is
y = 15x + 25 y-intercept = 25

the slope = 15

Answer:

Georgie pays (y axis) $ 15 dollars (the spole) monthly (x-axis) in the gym with a $ 25 registration (y -intercept)

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1 year ago

Which data sets have outliers? Check all that apply.

Alex Ar [27]

Answer:

(B), (D) and (E)

Step-by-step explanation:

An outlier is an observation which is quite different or very far from the rest of the given values of the data set.

(A) The given data set is:

14, 21, 24, 25, 27, 32, 35

Since, in the given data set, the values ranges from 14 to 35 in which no outlier is present, thus this data set does not contain any outlier.

thus, this option is incorrect.

(B) The given data set is:

15, 30, 35, 41, 44, 50, 78

In this data set, 78 is an outlier since it is quite far from the rest of the given data values, thus this option is correct.

16, 32, 38, 39, 41, 42, 58

In the given data set, there is no outlier present, thus this option is incorrect.

(D) The given data set is:

17, 23, 28, 31, 39, 45, 75

In this data set, 75 is an outlier since it is quite far from the rest of the given data values, thus this option is correct.

(E) The given data set is:

18, 30, 34, 38, 43, 45, 68

In this data set, 68 is an outlier since it is quite far from the rest of the given data values, thus this option is correct.

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2 years ago

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