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NISA [10]
3 years ago
6

How many gallons each of 20% alcohol and 5% alcohol should be mixed to obtain 15 gal of 19% alcohol?​

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
8 0

Answer:

Let x be the number of gallons of the 20% solution and let y be the number of gallons of the 5% solution.

Your system would be:

x+y=15

0.2x+0.05y=(0.13)(15)

Solve the system using either elimination or substitution method, or a combination of the two.

I am available for one-on-one help. Don't be afraid to ask!

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4 0
3 years ago
Can I get help with this please
S_A_V [24]

Answer:

Step-by-step explanation:

you want to multiply y by 2  or divide by 1/2  

? = 1/2  in this problem

3 0
3 years ago
The ellipse with x-intercepts (2, 0) and (-2, 0); y-intercepts (0, 4) and (0, -4).
masya89 [10]

Answer:

\dfrac{x^2}{4}+\dfrac{y^2}{16}=1

Step-by-step explanation:

If the ellipse has its x-intercepts at points (2, 0) and (-2, 0) and y-intercepts at points (0, 4) and (0, -4), then its symmetric across the y-axis and across the x-axis.

Moreover,

a=2\\ \\b=4

The equation of such ellipse is

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1

Hence, the equation of the ellipse is

\dfrac{x^2}{2^2}+\dfrac{y^2}{4^2}=1\\ \\ \\\dfrac{x^2}{4}+\dfrac{y^2}{16}=1

3 0
3 years ago
if a, b, and c are prime numbers, do (a b) and c have a common factor that is greater than 1? (1) a, b, and c are all different
klio [65]

If a,b, and c are prime numbers, do (a*b) and c have a common factor that is greater than 1

(1) a,b, and c are all different prime numbers

(2) c≠2

1. Let's assume values of 1,3 and 5 to a, b, and c respectively

a b = 1*3 = 3

3 and 5 do not have any common factor aside 1

Let's assume values of 1,3 and 2 to a,b and c respectively

a *b = 1*3 = 3

3 and 2 does not have a common factor aside 1

2. c \neq 2

Let's assume values of 2,7 and 3 to a b and c response

a * b = 2 *7 = 14

14 and 3 does not have a common factor aside 1

learn more about of prime number here

brainly.com/question/14410795

#SPJ4

8 0
1 year ago
Suppose that 10 years ago you bought a home for $160,000, paying 10% as a down payment, and financing the rest at 9% interest fo
Goshia [24]

Answer:

Current monthly payment on their existing mortgage would be $1158.66

Step-by-step explanation:

Total cash value = $160,000

Down payment = 10% of 160,000

Down Payment = $16,000

Balance amount = 160,000 - 16,000 = $144,000

Monthly payment formula:

P=\dfrac{r(PV)}{1-(1+r)^{-n}}

where,

PV is present value of home, PV=$144,000

r is rate per period , r=\frac{9}{1200}=0.0075

n is number of period, n=30x12 = 360

P=\dfrac{0.0075\times 144000}{1-(1+0.0075)^{-360}}

P=\$ 1158.66

Monthly payment would be same for 30 years.

Thus, Current monthly payment on their existing mortgage would be $1158.66

5 0
3 years ago
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