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3 years ago

Help not much time left its due in 20 mins

Mathematics

2 answers:

marin [14]3 years ago

4 0

Answer:

The slope is 2/3

Step-by-step explanation:

To get from one dot to the next...

You go up 2 units and to the right 3 units

almond37 [142]3 years ago

3 0

2/3 I think(sorry if you got it wrong)

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Determine whether the number is a solution of the equation.

aev [14]

Answer:
Yes. -4 is the solution to the equation.
Explanation:
2 + 4(-4) = - 14
2 + (-16) = - 14
2 - 16 = - 14
- 14 = - 14

7 0

2 years ago

A motorboat takes 5 hours to travel 150 miles going upstream. The return trip takes 3 hours going downstream. What is the rate o

lys-0071 [83]

Answer:

The rate of the boat in still water is 40 miles per hour

The rate of the current is 10 miles per hour

Step-by-step explanation:

we know that

The speed or rate is equal to divide the distance by the time

Let

x ----> the rate of the current (miles per hour)

y ----> the rate of the boat in still water (miles per hour)

we have that

going upstream

$y-x=\frac{150}{5}$

$y-x=30$ ----> equation A

going downstream

$y+x=\frac{150}{3}$

$y+x=50$ ----> equation B

Solve the system of equations by elimination

Adds equation A and equation B

$y-x=30\\y+x=50\\------\\y+y=30+50\\2y=80\\y=40$

Find the value of x

$y+x=50$

$40+x=50$

$x=10$

therefore

The rate of the boat in still water is 40 miles per hour

The rate of the current is 10 miles per hour

8 0

2 years ago

(8,1) and (x,3) The pair of points is on the graph of an inverse variation. Find the missing value.

Gelneren [198K]

$\bf \qquad \qquad \textit{inverse proportional variation}
\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------$

$\bf (\stackrel{x}{8},\stackrel{y}{1})\textit{ we know that }
\begin{cases}
x=8\\
y=1
\end{cases}\implies 1=\cfrac{k}{8}\implies 8=k
\\\\\\
therefore\qquad \boxed{y=\cfrac{8}{x}}
\\\\\\
(x,\stackrel{y}{3})\textit{ when y = 3, what is \underline{x}?}\qquad 3=\cfrac{8}{x}\implies x=\cfrac{8}{3}$

3 0

3 years ago

The paper usage at a small copy center is normally distributed with a mean of 5 boxes of paper per week, and a standard deviatio

VladimirAG [237]

Answer:

1.649 approximately 2

Step-by-step explanation:

S.d = standard deviation = 0.5

Time taken = lead time = 2 weeks

Mean = demand for week = 5 boxes

We are required to find the safety stock to maintain at 99% service level.

At 99% level, the Z value is equal to 2.326.

Therefore,

Safety stock = z × s.d × √Lt

= 2.326 × 0.5 x √2

= 1.649

Which is approximately 2.

7 0

3 years ago

A minibus drives 101 km in 1 hour. What is its average speed in kilometers per hour?

tekilochka [14]

Answer:

Step-by-step explanation:

Average speed is distance divided by time.

s=(101km)/(1hr)

s=101 km/hr

4 0

3 years ago