A soccer player ran 180.48 miles in 70.5 days to stay fit. How many miles will he run in 9 days

Julio says, "If you subtract 13 from my number and multiply the difference by -3, the result is -54 ." What is Julios's num

Alchen [17]

Answer:Julios's number is 31

suppose: Julios's number is x

because Julio says, "If you subtract 13 from my number and multiply the difference by -3, the result is -54 "

=> we have: (x - 13).(-3) = -54

<=> x - 13 = (-54):(-3) = 18

<=> x = 18 + 13 = 31

<=> x = 31

Step-by-step explanation:

7 0

3 years ago

A house with a rectangle base is built on a plot of land. The southwest corner of the plot is designated with coordinates (0,0).

serious [3.7K]

Answer:

The width of the base of the house is 25 feet

The length of the base of the house is 35 feet

Step-by-step explanation:

Displayed in the attachment is the plot of land drawn out in WXYZ(not to scale)

With the southwest corner coordinate (0,0) as the reference point

Plotted out is the base of the house built on it with coordinates (20,20),(5,40),(33,61),(48,41)

With A and B labelled width and length respectively

Length between coordinates is given as

Length=√(〖(x2-x1)〗^2+(〖y2-y1)〗^2 )

To find the width A,the points with coordinates (20,20) and (5,40) are used or (33,61) and (48,41)

Using point with coordinates (20,20) and (5,40)

Width, A=√(〖(5-20)〗^2+(〖40-20)〗^2 )=35

with x1=20, y1=20, x2=5, y2=40

Also try using points with coordinates (33,61) and (48,41).You will get same answer(opposite sides of a rectangle are equal)

To find the length B,the points with coordinates (48,41) and (20,20) are used or (5,40) and (33,61)

Using point with coordinates (48,41) and (20,20)

Length,B=√(〖(48-20)〗^2+(〖41-20)〗^2 )=25

with x1=20, y1=20, x2=48, y2=41

Also try using points with coordinates (5,40) and (33,61).You will get same answer(opposite sides of a rectangle are equal)

3 0

3 years ago

Which of the following is the measure of side a?<br> 23.3<br> 144<br> 8<br> 16

jenyasd209 [6]

Step-by-step explanation:

it is a right-angled triangle, so the side lengths need to fulfill the Pythagoras rule :

c² = a² + b²

where c is the Hypotenuse, the baseline opposite of the 90 degree angle. and a and b (often called legs) are the sides "enclosing" the 90 degree angle.

so, we have

20² = a² + 12²

400 = a² + 144

a² = 256

a = 16

FYI - we could have picked the right answer also by eliminating the wrong given answer options.

as this is a right-angled triangle :

a cannot be longer than the baseline (20).

that eliminates already the first 2 options.

and then look at the picture : a cannot be shorter than b (the other side line (12)).

that eliminates the third option.

4 0

2 years ago

Awnser this pls im in a bad mood

Drupady [299]

Answer:

I think its 1/6 and if I'm wrong I'm very sorry but I think its 1/6

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

The number of accidents that occur at a busy intersection is Poisson distributed with a mean of 4.5 per week. Find the probabili

Mariana [72]

Answer:

a) 0.01111

b) 0.4679

c) 0.33747

Step-by-step explanation:

We are given the following in the question:

The number of accidents per week can be treated as a Poisson distribution.

Mean number of accidents per week = 4.5

$\lambda= 4.5$

Formula:

$P(X =k) = \displaystyle\frac{\lambda^k e^{-\lambda}}{k!}\\\\ \lambda \text{ is the mean of the distribution}$

a) No accidents occur in one week.

$P(x =0)\\\\= \displaystyle\frac{4.5^0 e^{-4.5}}{0!}= 0.01111$

b) 5 or more accidents occur in a week.

$P( x \geq 5) = 1-\displaystyle \sum P(x$

c) One accident occurs today.

The mean number of accidents per day is given by

$\lambda = \dfrac{4.5}{7} = 0.64$

$P(x =1)\\\\= \displaystyle\frac{0.64^1 e^{-0.64}}{1!}= 0.33747$

5 0

3 years ago