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3 years ago

10

Which statement is true about the graphs of the two lines and ? y= -8x -5/4 and y = 1/8x + 4/5

1 answer:

Ronch [10]3 years ago

7 0

Y = -8x - 5/4......slope here is -8 or -8/1
y = 1/8x + 4/5...slope here is 1/8

what u have here are negative reciprocal slopes....negative reciprocal of a number can be found by flipping the number and changing the sign. So the negative reciprocal of -8/1 is 1/8 (see how I flipped the number and changed the sign)...and when u have negative reciprocal slopes, this means that ur lines are perpendicular.

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What do you get when you round 490.625 to the nearest tenth

VARVARA [1.3K]

Answer:

When you round 490.625 to the nearest tenth its 490.6.

3 0

2 years ago

£360 is shared between Abby, ben, chloe and denesh. the ratio of the amount abby gets to the amount that ben gets is 2:7. chloe

Gwar [14]

Answer:

$210$ £

Step-by-step explanation:

Let amount that abby gets $=x$

Given that $\frac{Amount\ of\ abby}{Amount\ of\ Ben} =\frac{2}{7}$

$Amount\ of\ ben=\frac{7}{2}\times Amount\ of\ abby\\ =\frac{7}{2}\ x$

Amount of chole + amount of Danesh $=1.5\times$ of abby

$=1.5 \ x$

$x +\frac{7}{2} \ x + 1.5 \ x =360\\\\6x=360\\\\x=\frac{360}{6}\\\\x=60$

$Amount\ of\ Ben =\frac{7}{2}\ x = \frac{7}{2} \times 60\\\\=7\times 30\\\\=210$

6 0

3 years ago

Your mom's new car gets 32 miles per gallon and gasoline costs $1.99 per gallon. You are going to see Uncle buck for Christmas,

Mashcka [7]

The gas cost will be $19.53 for this trip.

Step-by-step explanation:

Given,

Distance covered by car per gallon = 32 miles

Cost of one gallon = $1.99

Unit rate in terms of miles;

32 miles = $1.99

1 mile = $\frac{1.99}{32}\ Dollars$

Therefore,

314 miles = Unit rate of mile * 314 miles

314 miles = $\frac{1.99}{32}*314$

$314\ miles = \frac{624.86}{32}\\\\314\ miles=\$19.526$

Rounding off to nearest hundredth;

314 miles = $19.53

The gas cost will be $19.53 for this trip.

Keywords: unit rate, multiplication

Learn more about unit rate at:

#LearnwithBrainly

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3 years ago

Jackie names the angle < BAC and Lucy names the angle correct? Mr. Joseph draws the angle below on the board: (in the picture

stich3 [128]

Answer:

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Step-by-step explanation:

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3 0

3 years ago

The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of thr

cluponka [151]

Answer:

The correct answer is:

$\lambda=0.375 \ jobs \ per \ hour$
$\mu=0.5 \ jobs \ per \ hour$

Step-by-step explanation:

The given values are:

Service time varies,

Repair time = 2 hours

Standard deviation = 1.5 hours

Robotics uses per hour cost,

= $35

Company's cost per hour,

= $28

(a)

⇒ Arrival rate = Jobs per hours

then,

= $\frac{8 \ hours}{3 \ jobs}$

= $2.666 \ hours \ per \ job$

The jobs per hour will be:

⇒ $\lambda=\frac{1}{2.666}$

$=0.375$

(b)

⇒ Service rate = jobs per hour

then,

μ = $\frac{1 \ repair \ job}{2 \ hours}$

= $0.5 \ jobs$

7 0

3 years ago