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Zina [86]
2 years ago
7

Which of the following is equivalent to log 25 125?

Mathematics
1 answer:
Lina20 [59]2 years ago
4 0

Answer:

\frac{3}{2}

Step-by-step explanation:

Did you mean log_{25} 125, so that your base is 25?  If so then all you do is ask  yourself "25 to what power is 125?" since 25^{\frac{3}{2} } = 125, then the  log_{25} 125 = 3/2

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A stick of butter measures 3 cm wide, 8 cm long, and 2 cm high. What is the volume of the stick of butter?
Jobisdone [24]

Answer:

48cm

Step-by-step explanation:

V= L x W x H

V= 8 x 3 x 2=  48cm

5 0
3 years ago
What is 34% written as a ratio?<br> A) 34:1 <br> B) 34:10 <br> C) 34:100 <br> D) 34:1000
VikaD [51]
34%/100=0.34 and that is equal to 34:100 aka 34/100.

Hoped I helped!
5 0
3 years ago
Read 2 more answers
5x-1/5=7/3 <br> Find The LCD That would eliminate the fractions
photoshop1234 [79]

Answer:

x=\frac{7}{15}

Step-by-step explanation:

5x-\frac{1}{5} =\frac{7}{3}

5x - \frac{3}{15}  = \frac{35}{15}

5x - \frac{3}{15}  + \frac{3}{15} = \frac{35}{15}  + \frac{3}{15}

5x=\frac{35}{15}

\frac{5x}{5} } =\frac{\frac{35}{15}}{5}

x=\frac{7}{15}

7 0
3 years ago
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 l
slamgirl [31]

Answer:

She will leave an extra video game which weighs 0.25lb

Step-by-step explanation:

Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x ≤ 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed?

Solution:

Weight of the items

hairdryer = 1.25 lb

hand-held video game = 0.6 lb

an extra video game = 0.25 lb music player = 0.4 lb

The total weight of the items

= 1.25lb + 0.25lb + 0.6lb + 0.4lb

= 2.5 lb.

Total weight - required weight

= 2.5lb - 2.25lb

= 0.25lb

2.5lb is 0.25lb greater than 2.25lb

Therefore, not all items can be added.

She has to leave out an item equivalent to 0.25lb

Item equivalent to 0.25lb is the extra video game

If Li leaves out the extra game, which weighs 0.25 lb, she’d have the maximum weight allowed.

5 0
3 years ago
to arrive at 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution. How many liters of eac
CaHeK987 [17]

Answer:

<u>800 liters</u> of 90% saline solution and <u>1200 liters</u> of 40% saline solution should be used.

Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

<u><em>Let the liters of 90% saline solution mix be </em></u>x.<u><em /></u>

<u><em>And let the liters of 40% saline solution mix be</em></u> y.

So, the total number of liters:

x+y=2000.

y=2000-x\ \ \ ....(1)

Now, the total percentage of saline solution:

90\%\ of\ x+40\%\ of\ y=60\%\ of\ 2000

\frac{90}{100}\times x+\frac{40}{100}\times y=\frac{60}{100}\times 2000

0.9x+0.4y=1200

Substituting the value of y from equation (1) we get:

0.9x+0.4(2000-x)=1200

0.9x+800-0.4x=1200

0.5x+800=1200

Subtracting both sides by 800 we get:

0.5x=400

Dividing both sides by 0.5 we get:

x=800.

<u>The liters of 90% saline solution mix = 800.</u>

Now, substituting the value of x in equation (1) to get the liters of 40% saline solution:

y=2000-x

y=2000-800

y=1200.

<u>Thus, the liters of 40% saline solution = 1200.</u>

Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

8 0
3 years ago
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