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3 years ago

12

if it takes 6 men 4 days to dig a hole 3 meters deep, how long will it take 10 men to dig a hole 7 meters deep? please show how,

I'm studying for the final

1 answer:

mars1129 [50]3 years ago

6 0

Answer:

6 days

Step-by-step explanation:

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From the sum of 4x² - 2x +6 and 2x² + 4x-1, subtract 5x2 + 2x -4.

ikadub [295]

Answer:

x² + 9

Step-by-step explanation:

<u>Add:</u>

4x² - 2x + 6 + 2x² + 4x - 1 = 6x² + 2x + 5

<u>Subtract:</u>

6x² + 2x + 5 - 5x² - 2x + 4 = x² + 9

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3 years ago

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Jack is drawing circles on a playground for a game. If he draws a circle with a radius 3 feet, what is the area of the circle, t

aev [14]

Answer:

28.2743 square feet (28 square feet, rounded)

Step-by-step explanation:

The area of a circle is given by the equation

Area = πr^2

Plug in 3 for the radius

Area= π(3)^2

3 squared is 9

Area= 9 π

Area= 28.2743 square feet

Rounded to the nearest square foot, the area of the circle is 28 square feet.

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3 years ago

A groundhog starts out in its burrow 6.2 feet below the surface of the ground. It digs straight up at a rate of 0.8 feet per

Margaret [11]

Answer:3.25 or -3.25 feet per i don't know you say it if not i'm sorry

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3 years ago

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If the principal is $300 rate 3% time 4 years then what is the interest earned and the new balance

Tomtit [17]

Answer:

a) Interest earned = $36

New Balance = $336

b) Interest rate = 0.05 or 5%

New Balance = $517.5

c) time t = 5

New Balance = $612.5

d) Principal Amount = $675

New Balance = $783

Step-by-step explanation:

We are given:

a) Principal (P) = $300

Rate (r) = 3% or 0.03

Time (t)= 4 years

Interest earned = ?

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding interest

$Simple \ Interest (I)= P\times r\times t\\Simple \ Interest (I)= 300\times 0.03\times 4\\Simple \ Interest (I)= 36$

So, Interest earned = $36

New Balance = Principal + Interest = 300+36 = $336

b) a) Principal (P) = $300

Rate (r) = ?

Time (t)= 3 years

Interest earned = 67.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding rate

$Simple \ Interest (I)= P\times r\times t\\67.50= 450\times r\times 3\\67.50=1350\times r\\r=\frac{67.50}{1350}\\r=0.05 \ or \ 5\%$

So, Interest rate = 0.05 or 5%

New Balance = Principal + Interest = 450+67.50 = $517.5

c) Principal (P) = $500

Rate (r) = 4.5% or 0.045

Time (t)= ?

Interest earned = $112.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding time

$Simple \ Interest (I)= P\times r\times t\\112.50= 500\times 0.045\times t\\112.50=22.5 \times t\\t=\frac{112.50}{22.5}\\t=5$

So, time t = 5

New Balance = Principal + Interest = 500+112.50 = $612.5

d) Principal (P) = ?

Rate (r) = 8% or 0.08

Time (t)= 2 years

Interest earned = 108.00

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding Principal

$Simple \ Interest (I)= P\times r\times t\\108=P\times 0.08 \times 2\\108=P\times 0.16\\P=\frac{108}{0.16}\\P=675$

So, Principal Amount = $675

New Balance = Principal + Interest = 675+108 = $783

8 0

3 years ago

How do you know if two lines segments are perpendicular

Greeley [361]

Answer:

when they are intersecting at a 90 degree angle.

Step-by-step explanation:

when lines intersect, they just cross over one another at any point. but with perpendicular lines, they have to be at a right angle. an example of this is a square. all of its corners are perpendicular

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4 years ago