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3 years ago

If dave buys a sample of 70 nails and 6 are bad and 64 are good and he needs 2500 good nails how many nails should dave buy

Mathematics

1 answer:

dexar [7]3 years ago

5 0

Answer:

$Dave\ should\ buy\ 2735\ nails.$

Step-by-step explanation:

$Number\ of\ nails=70\\\\Good\ nails=64\\\\percentage\ of\ good\ nails=\frac{good\ nails}{total\ nails}\times 100\\\\percentage\ of\ good\ nails=\frac{64}{70}\times 100\\\\percentage\ of\ good\ nails=91.42857\%\\\\Let\ for\ 2500\ good\ nails\ he\ has\ to\ buy\ x\ nails\\\\91.42857\%\ of\ x=2500\\\\\frac{91.42857}{100}\times x=2500\\\\x=\frac{2500}{0.9142857}=2734.375\\\\x\approx 2735$

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X + 5y = 28 2x + 3y = 21 Solve for x and y.

snow_tiger [21]

First what we gonna do is solve for y.
x+5y=28 Subtract 5y both sides.
-5y -5y
x=-5y+28 Then you have to replace x with the equation.
2(-5y+28)+3y=21 Multiply.
-10y+56+3y=21 Combine like terms and subtract 56 both sides.
-56 -56
-7y=-35 Divide -7 both sides.
y=5 Simplify.
x=-5(5)+28 Multiply and add.
x=-25+28
x=3
Heres your answer x=3 and y=5.

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4 years ago

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent th

Nana76 [90]

The equation that represents the total number of stamps malik collected is x + y = 212. The equation that represents the difference in the number of foreign and domestic stamps malik collected is: x - y = 34. This is the system of two equations. Malik has a total of 212 stamps: x + y = 212. He has 34 more domestic stamps (x) than foreign stamps (y): x = y + 34. If we rearrange it, we have x - y = 34. So, this is the system of two equations: x + y = 212 and x - y = 34.<span>
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4 0

3 years ago

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I really need this it's a test

faltersainse [42]

Move all terms not containing x to the right side of the equation

x=9

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3 years ago

Mulder and Scully are driving to the same town. Mulder leaves the office at 9:30a.m. averaging 57mph. Scully leaves at 10:00a

koban [17]

Answer:

Scully will catch up with Mulder by 7:30 PM.

Step-by-step explanation:

Consider the provided information.

Mulder leaves the office at 9:30a.m. averaging 57mph.

Scully leaves at 10:00a.m., following the same path and averaging 60 mph.

Distance covered by Mulder between 9:30 AM and 10:00 AM:

$\frac{57}{2}= 28.5$ miles

Let t is the time taken by Scully to catch up with Mulder.

After leaving office Scully needs to cover extra distance of 28.5 miles because Mulder leaves the office earlier.

Therefore total distance cover by them is:

$28.5+57t=60t$

$28.5=60t-57t$

$28.5=3t\\t=9.5$

Hence, it would take 9 hours 30 minutes to catch up Mulder.

10 am + 9 hours 30 minutes = 7:30 pm

Therefore, Scully will catch up with Mulder by 7:30 PM.

6 0

3 years ago

Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equat

vlabodo [156]

Answer:

y = 360(1.03)x

Step-by-step explanation:

$F = P x (1 + i)^n$

F is the future worth, P is the present worth, I will be the interest rate, and n is the number of years. $F = ($360)(1.03)^x$

The principal amount of the money = $360

Annual rate of interest = 3%

Thus, the amount after x years which is increased by 3%.

Since, this amount represented by y,

The required equation that represents the amount of money in Josiah’s account, y, after x years is, $= 360(1+\frac{3}{100} )^x\\ = 360(1+0.03 )^x\\ = 360(1.03 )^x$

This amount represented by y,

Therefore, the required equation that represents the amount of money in Josiah’s account, y, after x years is,

$y = 360(1.03 )^x$

Hope this helps you!

Have a nice evening! ;)

5 0

3 years ago

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