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1 year ago

8 workers complete the construction of wall 6 days. How many workers are needed to complete the construction in 4 days?

Mathematics

1 answer:

ElenaW [278]1 year ago

8 0

Answer:

I came up with -12

Step-by-step explanation:

8 workers = 6 days to complete

x workers = 4 days faster to complete

6/4=1.5 days faster

1.5 x 8 = 12 workers needed to complete the wall in fours days

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Simple math but I can't seem to understand it: x+y=2 becomes y=2-x, in order to find slope and y intercept y=mx+b The result bec

IgorLugansk [536]

Answer:

See below.

Step-by-step explanation:

So we started off with the equation:

$x+y=2$

And we subtracted x from both sides to acquire:

$y=2-x$

Now, this is essentially slope-intercept form. Recall that the slope-intercept form is:

$y=mx+b$

Where m is the slope and b is the y-intercept.

If we rearrange our equation:

$y=2-x\\y=-x+2$

And put some parentheses:

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

We can see that this is indeed slope-intercept form.

And we can see that m is -1 and b is 2.

In other words, the slope is -1 and the y-intercept is 2.

3 0

3 years ago

Read 2 more answers

The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

likoan [24]

Answer:

A) 3%

B) Product A

Step-by-step explanation:

Exponential Function

General form of an exponential function: $y=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Part A

Product A

Assuming the function for Product A is exponential:

$f(x) = 0.69(1.03)^x$

The base (b) is 1.03. As b > 1 then it is an increasing function.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, product A is increasing by 3% each year.

Part B

$\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100$

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

$\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%$

Check using different two consecutive values of f(t):

$\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%$

Therefore, as 3% > 1%, Product A recorded a greater percentage change in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

a = 10,100
b = 1.01
n = t - 1 (as the initial value is for t = 1 not t = 0)

$\implies f(t) = 10100(1.01)^{t-1}$

To check this, substitute the values of t for 1 through 4 into the found function:

$\implies f(1) = 10100(1.01)^{1-1}=10100$

$\implies f(2) = 10100(1.01)^{2-1}=10201$

$\implies f(3) = 10100(1.01)^{3-1}=10303.01$

$\implies f(4) = 10100(1.01)^{4-1}=10406.04$

As these values match the values in the given table, this confirms that the found function for Product B is correct and that Product B increases by 1% per year.

4 0

1 year ago

Juan earns $625 per week. He is married and claims 3 withholding allowances. He pays $90 each

atroni [7]

Answer:

what is this

Step-by-step explanation:

7 0

2 years ago

Help me please I need an answer asap

Sergio [31]

Answer:

c option

Step-by-step explanation:

please mark me brainliest and 5 star

3 0

3 years ago

Type a digit that makes this statement true.

Archy [21]

Answer:

So information at the bottom:

since every number in a thousand spot needs to have 3 digest, we need to add a zero onto 29,422,330. If we didn’t add a zero, then the problem wouldn’t make much since. So if we divide 29,422,330 by 2, our answer would be 14,711,165. A whole bunch of numbers, but nothing that can’t be solved!

<h3>Hope this helps!✌️</h3>

5 0

2 years ago

Read 2 more answers