All categories

2 years ago

It takes 5 carpenters 5 hours to make 5 chairs. How long would it take 100 carpenters to make 100 chairs?

2 answers:

7 0

I hour because, one of the 5 carpenters built one chair in one hour, so one of the 100 carpenters would build one chair in one hour, there are only 95 more carpenters, nothing else different.
Hope I helped!

r-ruslan [8.4K]2 years ago

6 0

# of chairs = x
# of carpenters = y
Time = t

# of chairs (y) is directly proportional to tx
y = t * x

Therefore, y1 * t1 / x1 = y2 * t2 / x2
y1, t1, x1 = 5 and y2, x2 = 100 = > t2 = 5

Answer: 5 minutes

You might be interested in

The grades on a history midterm at Gardner Bullis are roughly symmetric with μ = 69 μ=69mu, equals, 69 and σ = 3.5 σ=3.5sigma, e

katrin2010 [14]

Answer:

-1.14

Step-by-step explanation:

The given information in statement is

mean=μ=69

standard deviation=σ=3.5

Let X be the Ishaan's exam score

X=65

The Z score can be computed as

$z=\frac{x-mean}{standard deviation}$

$z=\frac{65-69}{3.5}$

z=-1.1429

z=-1.14 (rounded to two decimal places).

Thus, the computed z-score for Ishaan's exam grade is -1.14.

4 0

2 years ago

Tony addison obtained a 20-year, $45,000 mortgage loan from united savings with an interest rate of 8.5%. his monthly payment is

Anna007 [38]

As given,

Loan amount is = $45000

Rate of interest = 8.5%

So, Tony's mortgage will attract an interest of:

$45000\times\frac{8.5}{100}$ = $3825 (this is yearly)

And for 1st month it will be = $\frac{3825}{12}$ = $318.75

As given, the first month's payment is $390.60 and this covers the interest Additional amount ($390.60 - $318.75 = $71.85) is a payment against the principle.

Hence, the new principle after the 1st month is $71.85 less than $45000

= 45000-71.85 = $44928.15

Hence, the last option $44928.15 is the correct answer.

4 0

2 years ago

Which equation represents a proportional relationship that has a constant of proportionality equal to –10? y = x minus 10 y = x/

kicyunya [14]

Answer:

y=-10x

Step-by-step explanation:

y=-10x

y/x=-10

6 0

2 years ago

On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapid

Anon25 [30]

Answer:

y=7600(5^(t/22))

Step-by-step explanation:

This is going to be an exponential function as it grows rapidly.

This type of question can be solved using the formula y=a(r^x), where a is the inital amount, r the factor by which the amount increases and x is the unit of time after which the amount increases.

x=t/22

a=7600

r=5

∴y=7600(5^(t/22))

5 0

2 years ago

You pull out the plug from the bathtub. After 40 seconds, there are 13 gallons of water left in the tub. One minute after you pu

SCORPION-xisa [38]

Answer:

g = -3/20s + 19

Step-by-step explanation:

Let's assume this is a function

The points are

(40, 13) and (60, 10)

Since it is linear relation, we'll get the slope intercept form

g = ms + b, where g- number of gallons, s- time in seconds, b- y intercept

Using the points, let's calculate the formula

m = (10 - 13)/(60 - 40) = -3/20
10 = -3/20*60 + b
10 = - 9 + b
b = 19

So the formula is:

g = -3/20s + 19

7 0

2 years ago