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nydimaria [60]
3 years ago
14

Nine times the sum of a number and 8 is 7

Mathematics
1 answer:
Sladkaya [172]3 years ago
5 0

this is the equation x+9+8=7

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A brand of grape juice that's is 25% grape juice is mixed with another brand that is 75% grape juice. The result is 7 gallons of
garri49 [273]

Answer:

5.6 gallons.

Step-by-step explanation:

If we take x gallons of 25% grape juice then it will contain \frac{x}{4} gallons of pure grape juice.

Again, if we take y gallons of 75% grape juice then it will contain \frac{3y}{4} gallons of pure grape juice.

If we mix them then the total volume will become x + y = 7 gallons  ...... (1)

Again the mixture will become 35% juice.

So, \frac{\frac{x}{4} +\frac{3y}{4} }{x+y} =\frac{35}{100}

⇒ 0.25x + 0.75y = 0.35x + 0.35y

⇒0.1x = 0.4y

⇒x = 4y........ (2)

Now, solving equations (1) and (2) we get, 5y = 7, ⇒ y = 1.4 gallons

Hence, x = 4y = 5.6 gallons

Therefore, the 25% grape juice was mixed by 5.6 gallons. (Answer)

4 0
3 years ago
If m(x) = x2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)?
Ilia_Sergeevich [38]
For this case we have the following functions:
 m (x) = x ^ 2 + 3

n (x) = 5x + 9
 Multiplying both functions, we obtain an expression equivalent to (mn) (x).
 We have then:
 (mn) (x) = m (x) n (x)

 Substituting values we have:
 (mn) (x) = (x ^ 2 + 3) (5x + 9)

 Rewriting the expression we have:
 (mn) (x) = (5x ^ 3 + 15x) + (9x ^ 2 + 27)

(mn) (x) = 5x ^ 3 + 9x ^ 2 + 15x + 27
 Answer:
 
An expression that is equivalent to (mn) (x) is:
 (mn) (x) = 5x ^ 3 + 9x ^ 2 + 15x + 27
7 0
4 years ago
Read 2 more answers
Debra pumped 2 gallons of water into her pool each minute for 10 minutes. Whag was ths total change in the amount of water in th
FinnZ [79.3K]
20 gallons of water in the pool
8 0
3 years ago
Read 2 more answers
If i have three quarters & four one dollars how many is in all?
lukranit [14]
If you have three quarters and each is a value of 25¢ you add and get 75¢ and you add the $4 which gives you $4.75
6 0
3 years ago
− x^2+10=6 can anyone explain me how to do this please ?
Zanzabum

Step-by-step explanation:

Step 1: -x^2 is -1 because x is always 1.

Now that you found your first step take -1x+10=6. You're going to subtract 10 from both sides which leaves you with a sum of -4. So -1x= -4 now divide -4/-1x which gives you a positive number.

5 0
3 years ago
Read 2 more answers
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