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valentina_108 [34]
3 years ago
7

Jane’s favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3. How much of each juice is needed to

make 25 liters of this punch?
Mathematics
1 answer:
Kaylis [27]3 years ago
8 0
5:2:3....added = 10

5/10(25) = 125/10 = 12.5 liters of pear juice
2/10(25) = 50/10 = 5 liters pineapple juice
3/10(25) = 75/10 = 7.5 liters plum juice
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231 students went on a field trip 9 buses were filled and 15 students traveled in cars how many students were in each bus
mote1985 [20]

231 - 15 = 216 \\ 216 = 9x \\ x = 24
8 0
3 years ago
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Given: Q=7m+3n,R=11-2m,s=n+5,and T =-m-3n+8 simplify Q-[R+S]-T
Gnesinka [82]

Answer:

Simplify

Q-[R+S]-T

The answer is:

10m+5n-24

Step-by-step explanation:

We have the expressions:

Q=7m+3n\\R=11-2m\\S=n+5\\T=-m-3n+8

Now, we need simplify:

Q-[R+S]-T

We need to replace each term by the expressions:

7m+3n-[(11-2m)+(n+5)]-(-m-3n+8)

We need to remember the rule of signs:

-/-=+

-/+=-

+/+=+

With this in mind we solve the parentheses:

7m+3n-[(11-2m)+(n+5)]-(-m-3n+8)

7m+3n-[11-2m+n+5]+m+3n-8

7m+3n-11+2m-n-5+m+3n-8

let's group common terms

7m+3n-11+2m-n-5+m+3n-8\\7m+2m+m+3n-n+3n-11-5-8

We must add and subtract common terms:

7m+2m+m+3n-n+3n-11-5-8\\10m+5n-24

The answer is:

10m+5n-24

7 0
4 years ago
What’s 9 * 9 * 9 * 9 as an exponent?
CaHeK987 [17]

Answer:

9^{4}

Step-by-step explanation:

9^{4} means 9*9*9*9

7 0
3 years ago
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If x+3/3=y+2/3, then x/3= <br> A) y/3<br> B)y-1<br> C)y/2<br> D)y+1
Vlada [557]

Answer:

y/2

Step-by-step explanation:

x+3=y+2

------  --------

3          2

Using cross products

2(x+3) = 3(y+2)

Distribute

2x+6 = 3y+6

Subtract 6 from each side

2x+6-6 = 3y+6-6

2x= 3y

Divide each side by 2

2x/2 = 3y/2

x = 3/2 y

We want to find x/3

Divide each side by 3

x/3 = 3/2 y * 1/3

x/3 = 1/2 y

4 0
3 years ago
A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr
Rufina [12.5K]
The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\
Logarithm both sides of the equation:
ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
A = 120 000 000 * e ^{0.0083*17}  \\ &#10;A = 120 000 000 * e^{0.1411}   \\ &#10;A = 120 000 000 * 1.15 \\ &#10;A = 138 000 000&#10;
Thus, the population will be 138 million in 2014

8 0
3 years ago
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