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babymother [125]

3 years ago

7

A crew oh high way workers paved 2/15 miles in 1/3 of an hour. If they work at the same rate, what portion of a mile will they p

ave in one hour

1 answer:

shtirl [24]3 years ago

7 0

Answer:

6/15 or .4

Step-by-step explanation:

2/15 times 3

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A box of colored pencils contains exactly 6 red pencils. The probability of choosing a red pencil from the box is 2/7 how many o

Colt1911 [192]

2/7=6/x
2x=42
x=21
the answer is c

8 0

3 years ago

Evaluate P(5, 2)<br><br> 20<br> 60<br> 240<br> 10

vesna_86 [32]

P(5,2) = n! /(n-r)!

n = 5, r = 2:

= (5 x 4 x 3 x 2 x 1 ) / 3 x 2 x 1

Cancel out common factors:

= 5 x 4 = 20

The answer is 20.

3 0

3 years ago

Read 2 more answers

The mass of a bacteria culture doubles every four days. If the initial sample is 5mg: a) how much will you have after one week (

maks197457 [2]

Answer:

a) 16.82 mg

b) 24 days

Step-by-step explanation:

Formula for exponential growth is given as:

$A=A_0b^{\frac{t}{c}}$

Where A is the final population

$A_0$ is the initial population

b is the growth factor

c is the time taken for the growth 'b'

t is the amount of time

Here, We are given the following:

$A_0$ = 5 mg

b = 2 (Given because it doubles)

c = 4 days

a) A = ?

Using the formula:

$A=5 \times 2^{\frac{7}{4}}\\\Rightarrow A=5 \times 2^{1.75} \\\Rightarrow A = \bold{16.82\ mg}$

b) Given

A = 320 mg

t = ?

Using the above formula again:

$320 = 5 \times 2^{\frac{t}{4}}\\\Rightarrow \dfrac{320} 5= 2^{\frac{t}{4}}\\\Rightarrow 2^{\frac{t}{4}} = 64\\\Rightarrow 2^{\frac{t}{4}} = 2^6\\\Rightarrow \dfrac{t}{4} = 6\\\Rightarrow t = 6 \times 4\\\Rightarrow \bold{t = 24\ days}$

So, the answers are:

a) 16.82 mg

b) 24 days

6 0

4 years ago

What is the surface area of a sphere with radius of 3.5? A. 12.25p B. 14p C. 24.5p D. 49p

Anuta_ua [19.1K]

S=4π<span>r<span>2 - this is the equation for the surface area of a sphere. We know that the radius (r) is 3.5 so here's how to solve this:

S = 4</span></span><span>π r2
S = 4</span><span>π (3.5)2
S = 4</span><span>π 12.25
S = 49</span><span>π

The surface area of a sphere with radius of 3.5 is 49</span><span>π.</span>

7 0

4 years ago

What point lies on the line described by the equation below? Y+3=2 (x-1

Inessa [10]

Answer:

$\boxed{(1, -3)}$

Step-by-step explanation:

$y+3=2 (x-1)$

Put equation in slope-intercept form.

$y=mx+b$

$y=2(x-1)-3$

$y=2x-2-3$

$y=2x-5$

Let x = 1

$y=2(1)-5$

$y=2-5$

$y=-3$

The point (1, -3) lies on the line.

3 0

3 years ago