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3 years ago

Can anyone prove that this is wrong ?

Mathematics

1 answer:

never [62]3 years ago

3 0

That would be my approach...

${log( {0.5}^{2} )}^{3} \\ {log( { (\frac{1}{2}) }^{2} )}^{3} \\ {log( \frac{1}{2}) }^{6} \\ 6 \times log( \frac{1}{2} ) \\ 6 \times log {(2)}^{ - 1} \\ - 6 \times log2\\ -6$

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A mistake was made in mixing the lemonade—<br> PLEASE HELP!!

beks73 [17]

Answer:

Part A:

$4 + x = y$

$0.5*4 + 1*x = 0.7*y$

$x = 8/3\ quarts\ of\ 100\%\ solution$

$y = 20/3\ quarts\ of\ 70\%\ solution$

Part B:

$x + y = 10$

$2x + 3y = 23$

$x = 7$ and $y = 3$

Step-by-step explanation:

Part A:

The inicial concentration of the lemonade is 50%, and the volume is 4 quarts, and we will add x quarts of a lemonade with a concentration of 100%, so the total volume will be y, and the concentration will be 0.7, so we have that:

$4 + x = y$

$0.5*4 + 1*x = 0.7*y$

Using the value of y from the first equation in the second one, we have:

$2 + x = 0.7*(4 + x)$

$2 + x = 2.8 + 0.7x$

$0.3x = 0.8$

$x = 8/3\ quarts$

$y = 4 + 8/3 = 20/3\ quarts$

Part B:

If he shoots a total of ten targets, we can write the equation:

$x + y = 10$

Each stationary target is 2 points, and each moving target is 3 points, so if the total points is 23, we have:

$2x + 3y = 23$

If we subtract the second equation by two times the first one, we have:

$2x + 3y - 2*(x + y) = 23 - 2*10$

$2x + 3y - 2x - 2y = 23 - 20$

$y = 3$

$x + 3 = 10$ ⇒ $x = 7$

4 0

3 years ago

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Gelneren [198K]

Answer:

Step-by-step explanation:

Hurley drank between 4 and 5 liters of water for 8 different days and drank between 1 or 2 liters of water on 4 different days. To find the answer we have to use the following equation.

# of days Hurley drank (4-5 L) - # of days Hurley drank (1-2 L) = # of more days

8 - 4 = 4

4 0

3 years ago

Sally ate 1/6 of a fruit pie and gave 1/5 of the remainder to her sister. What fraction of fruit pie did she give away? hURYY

Zigmanuir [339]

Answer:

Milan puts 1/4 of her lawn-mowing money in savings and uses 1/2 of the remaining money to pay back her sister. If she has $15 left

Step-by-step explanation:

3 0

2 years ago

Given a cube with a volume of 36 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?

LUCKY_DIMON [66]

Hope you know that formula for volume of a cube is area of base time height
and volume of a square pyramid is area of base time height divide 3
- so in this your exercise case we know that area of cube is 36 cm^3 what is area of base time height
- so this mean that the volume of a square pyramide what can fit perfectly inside the cube will be equal 36/3 = 12 cm^3

5 0

3 years ago

Read 2 more answers

Help please :( 4^5 x 4^ -7 divide by 4^ -2 ?

alexandr1967 [171]

Answer:

4⁻⁴

Step-by-step explanation:

4⁵ × 4⁻⁷ ÷ 4⁻²

⁺ ⁵ ⁻ ⁷

= ⁻²

⁻ ² ⁻ ²

= ⁻ ⁴

4⁻⁴

7 0

2 years ago

Can anyone prove that this is wrong ?​

Can anyone prove that this is wrong ?