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san4es73 [151]
3 years ago
6

a 5-liter cleaning solution contains 30% bleach. a 3-liter cleaning solution contains 50% bleach. what percent of bleach obtaine

d by putting the two mixtures together
Mathematics
1 answer:
vladimir1956 [14]3 years ago
4 0

Answer:

First find the 30% of 5-liter cleaning solution.

3/10*5L=1.5L

We know 50% of 3L is 1.5.

If we add, the two bleach percentages, we get 3L of bleach.

When we add the two containers of cleaning solution, we get 8L.

The percentage of bleach in the mixture will be the ratio 3/8 expressed as a %.

3/8*100=37.5% of the cleaning solution will be bleach.

Answer: 37.5%

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Leah claims that these figures are not similar. When she compared the heights, she wrote 27. Then she compared the bases and got
Flauer [41]

Answer:

<h2>Leah is actually wrong, because those rectangles are similar.</h2>

Step-by-step explanation:

Remember that similarity is about having proportional sides and congruent angles. When we have congruent sides, then those rectangles are congruent not similar.

In this case, to find the similarity, Leah should compare bases and heights thorugh division, because the ratio between heights and the ratio between bases must be equal. So, let's divide.

\frac{21}{6}=3.5

\frac{7}{2}=3.5

As you can observe, both ratios are equal.

Therefore, those rectangles are congruent.

4 0
3 years ago
PLEASE HELP MEEEEE!!!!!!!
OverLord2011 [107]

Answer:

  1. Cheese: 4\frac{3}{8}  
  2. Milk: 1\frac{2}{3}  
  3. Pasta: 6\frac{1}{4}

Step-by-step explanation:

Cheese:

  1. 1\frac{3}{4} = \frac{7}{4}  
  2. Set up a proportion: \frac{\frac{7}{4} }{4} = \frac{x}{10}  
  3. Cross multiply, then divide: 10 × 7/4 = 17.5, 17.5 ÷ 4 = 4.375
  4. 4.375 = 4\frac{3}{8}  

Milk:

  1. Set up a proportion: \frac{\frac{2}{3} }{4} = \frac{x}{10}  
  2. Cross multiply, then divide: 10 × 2/3 = 6\frac{2}{3}, 6\frac{2}{3} ÷ 4 = 1\frac{2}{3}  

Pasta:

  1. 2\frac{1}{2} = \frac{5}{2}  
  2. Set up a proportion: \frac{\frac{5}{2} }{4} = \frac{x}{10}  
  3. Cross multiply, then divide: 10 × 5/2 = 25, 25 ÷ 4 = 6.25
  4. 6.25 = 6\frac{1}{4}  

I hope this helps!

4 0
3 years ago
The first four terms of an arithmetic sequence are -11,-5,1,7. what is the equation for an
mr_godi [17]

Answer:

y = 6x - 11

Step-by-step explanation:

An arithmetic sequence is a linear function. This means it steadily increases or decreases through addition/subtraction by a constant amount. Here the sequence grows by adding 6 each time.

-11 + 6 = -5

-5 + 6 = 1

1 + 6 = 7

etc....

Since this is linear, its equation has the form y = mx + b where m is the slope and b is the y-intercept. The slope is m = 6 and b = -11.

y = 6x - 11

7 0
3 years ago
Jasmine believe the lengths 7 in 12 in and 20 inch will form a triangle is Jasmine correct use mathematics or words to explain y
madreJ [45]

Answer:

7 in 12 30 inch jasmine correct is triangle

7 0
1 year ago
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use
Firlakuza [10]
Given:
2 rectangular prism.
same height
square bases


                                    Box A     Box B
Square Base side          2 ft        0.75 ft
Height                            4 ft        4 ft

Solving for the space inside each rectangular prism, we need to find its volume.

Volume of a rectangular prism = length * width * height

Box A: 
Volume = 2 ft * 2 ft * 4 ft = 16 cubic feet

Box B:
Volume = 0.75 ft * 0.75 ft * 4 ft = 2.25 cubic feet

Box A - Box B = difference in space

16 cubic feet - 2.25 cubic feet = 13.75 cubic feet

Box A contains 13.75 cubic feet more space than Box B. 
8 0
3 years ago
Read 2 more answers
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