Find the slope and y-intercept -2y=6(5-3x) Please show work

Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the so

Sever21 [200]

Taking the 3 solutions as 3 different terms, we can create an equation as follows:

Solution 1 : 10mL with 20% acid
Solution 2 : 30mL with x% acid
Solution 3 : 40mL with 32% acid

Since solution 1 + solution 2 = solution 3, let us substitute the given values we have:

10(0.2) + 30(x) = 40(0.32)
2 + 30x = 12.8

To solve for the unknown concentration x, we subtract 2 from both sides:
2 + 30x - 2 = 12.8 - 2
30x = 10.8

Dividing both sides by 30:
30x/30 = 10.8/30
x = 0.36

Therefore the unknown solution is 36% acid.

4 0

2 years ago

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An hourglass composed of two identical cones is 18 cm tall.the radius of each cone is 4cm if you want to fill the bottom half of

Kitty [74]

Check the picture below.

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r = 4\\ h = 9 \end{cases}\implies V=\cfrac{\pi (4)^2(9)}{3}\implies V=48\pi \\\\\\ \stackrel{\textit{and 75\% of that will just be }\frac{3}{4}\textit{ of it}}{48\pi \cdot \cfrac{3}{4}\implies 36\pi \quad \approx \quad 113.097}$

5 0

2 years ago

Sheri’s cab fare was $32, with a 20% gratuity and no taxes. Sheri wrote a check to the cab driver for $40.

stira [4]

Yes, $40 is a reasonable amount to pay for the cab fare.

Explanation

Sheri’s cab fare was $32 and the percentage of gratuity is 20%

So, the amount of gratuity will be: $\$32* 20\% = \$32*0.20= \$6.40$

Thus, the fare of the cab including the gratuity will be: $\$32+\$6.40 = \$38.40$

As Sheri wrote a check to the cab driver for $40 , it means she paying ($40 - $38.40) or $1.60 more to the cab driver. So, the $40 check is a reasonable amount to pay for the cab fare.

5 0

2 years ago

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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

Ariana has $1.40 worth of nickels and dimes. She has twice as many nickels as dimes. Determine the number of nickels and the num

navik [9.2K]

Answer:

14 nickels

7 dimes

Step-by-step explanation:

1. find out how many dimes there has to be to get $1.40

1 dime= .10

1.40/.10=14 dimes

14/2=7

so there are 7 dimes

since a nickel is half the amount of a dime there will be twice as many to make up the other half which is $0.70

.70/.05=14

there are 14 nickels

proof:

$0.10(7)+$0.05(14)= $1.40

hope this helps!

7 0

2 years ago