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3 years ago

Factor completely please

Mathematics

2 answers:

nasty-shy [4]3 years ago

8 0

Answer:

it the third one

gladu [14]3 years ago

5 0

Answer:

(c-5)(3+4c)

Step-by-step explanation:

3c-15+4c^2-20c

4c^2-17c-15

Berry Method

4*(-15)=-60

What two numbers multiply by each other to get -60 but add up to -17

-20 and 3

$\frac{(4c+3)(4c-20)}{4}$

(4c+3)(c-5)

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A motorboat travels 105 kilometers in 3 hours going upstream. It travels 165 kilometers going downstream in the same amount of t

Novay_Z [31]

Answer:

Rate in still water = 45 km/h

Rate of the current = 10 km/h.

Step-by-step explanation:

Let the rate of the current be x and rate in still water be y.

So the rate of the boat upstream is y - x and the rate downstream = x + y.

Rate upstream = distance / time

y - x = 105/3 = 35 ...... (1)

Rate downstream:

y + x = 165/3 = 55 .......(2)

Adding (1) + (2):

2y = 90

y = 45 km/h.

Using equation (1):

45 - x = 35

x = 45-35 = 10 km/h.

8 0

3 years ago

A snack cart sells lemonade for $2 and hot dogs for $5. The vendor sold 86 items today for a total of $330. Which equation is tr

Alborosie

Let h be the number of lemonade sold. If the vendor sold 86 items today and h of them are lemonade, then the rest are hot dogs, so he sold 86-h hot dogs.

When you add the number of sold lemonade and hot dogs, then you get 86 items in total:

h+(86-h)=86.

This equation is exactly the same as equation

(86-h)+h=86.

Moreover,

1. if a snack cart sells lemonade for $2, then he gets $2h for h sold lemonade;

2. if a snack cart sells hot dogs for $5, then he gets $5(86-h) for (86-h) sold hot dogs.

In total he gets $330, then

2h+5(86-h)=330.

Both these equations are true, but only first is among given options.

Answer: correct choice is B.

4 0

3 years ago

Read 2 more answers

Geometry math question no Guessing and Please show work thank you

mr Goodwill [35]

(12 - 2) * 180 = 1,800/12 = 150

(8 - 2) * 180 = 1,080/8 = 135

B. 8 sides

3 0

3 years ago

Read 2 more answers

A random sample of 100 automobile owners in thestate of Virginia shows that an automobile is driven onaverage 23,500 kilometers

Anastaziya [24]

Answer:

a) 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

Step-by-step explanation:

Given that:

Mean (μ) = 23500 kilometers per year

Standard deviation (σ) = 3900 kilometers

Confidence level (c) = 99% = 0.99

number of samples (n) = 100

a) α = 1 - c = 1 - 0.99 = 0.01

$\frac{\alpha }{2} =\frac{0.01}{2}=0.005\\ z_{\frac{\alpha }{2}}=z_{0.005}=2.57$

Using normal distribution table, $z_{0.005$ is the z value of 1 - 0.005 = 0.995 of the area to the right which is 2.57.

The margin of error (e) is given as:

$e= z_{0.005}\frac{\sigma}{\sqrt{n} } = 2.57*\frac{3900}{\sqrt{100} } =1002.3$

The 99% confidence interval = (μ - e, μ + e) = (23500 - 1002.3, 23500 + 1002.3) = (22497.7, 24502.3)

Confidence interval = 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

5 0

4 years ago

Multiple choice question please answer it for me

timofeeve [1]

The answer is the second choice, or B; 240 ft^2.

You have to find the area of all four triangles and just add those all together.

Two of the triangles have an area of
5*16=80
Multiply that by two
80*2=160

The other two smaller triangles have an area of
8*5=40
Multiply that by 2 also
40*2=80

Add 160+80 and the answer is 240.

6 0

3 years ago