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adelina 88 [10]
3 years ago
7

How many quarts of pure antifreeze must be added to 8 quarts of a 10% antifreeze solution to obtain a 60% antifreeze solution

Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0

Answer:

10 quarts

Step-by-step explanation:

.1(8) + 1(x) = .6(x + 8)

.8 + x = .6x + 4.8

.4x = 4

x = 10

10 quarts

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The petronas towers in Kuala Lumpur, Malaysia, are 1,483 feet tall. The key tower in Cleveland, Ohio, is 947 feet tall how is th
I am Lyosha [343]

Answer: 5.36*10^2\ feet

Step-by-step explanation:

By definition, the "Difference" is the result of a subtraction.

It is important to remember that Scientific Notation is in the following form:

a*10^b

Where "a" is a number between 1 and 10 ( but not including 10) and "b" is an Integer.

In this case, according to the information given in the exercise, you know that the Petronas towers are 1,483 feet tall and the Key tower is 947 feet tall.

Then, the diffrence between the heights  of those towers can be find by subtracting them. So, this is:

1,483\ feet-947\ feet =536\ feet

In order to write the difference calculated above in Scientific notation, the Decimal point must be after the first digit; then you must move the Decimal point two places to the left. Therefore, you get that this is:

=5.36*10^2\ feet

4 0
4 years ago
Find the area of the circle. Round to the nearest whole number
GuDViN [60]

Hello!

\mathcal{GIVEN:}

  • Diameter of the circle = 12 cm

\mathcal{TO\:FIND:}

Area of the Circle

\mathcal{SOLUTION:}

A=πr²

Hey! We have the diameter, not the radius.

Don't panic. In order to find the radius, we should divide the diameter by 2.

So, the radius is 6.

Plug it into the formula:

A=π(6)²

A=π(36)

A≈113 cm

Hope it helps!

Good luck and enjoy your day!

-SnowFlake

8 0
3 years ago
Which percent is represented by the diagram below? 2 area models with 100 squares. In the first model, 100 squares are shaded. I
olga_2 [115]

Answer:

125%

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How many different lines of symmetry does a square have?
Sedaia [141]

Answer:

4

Step-by-step explanation:

8 0
2 years ago
Question 5^ Need help ... ASAP ... your help is really appreciated ...
goblinko [34]

Answer:

See below

Step-by-step explanation:

I think we had a question similar to this before. Again, let's figure out the vertical and horizontal distances figured out. The distance from C at x=8 to D at x=-5 is 13 units while the distance from C at y=-2 to D at y=9 is 11 units. (8+5=13 and 2+9=11, even though some numbers are negative, we're looking at their value in those calculations)

Next, we have to divide each distance by 4 so we can apply it to the ratio. 13/4=\frac{13}{4} and 11/4=\frac{11}{4}. Next, we need to read the question carefully. It's asking us to place the point in the ratio <em>3</em> to <em>1</em> from <em>C</em> to <em>D</em>. The point has to be closer to endpoint D because of this. Let's take each of our fractions, multiply them by 3, then add them towards the direction of endpoint D to get our answer (sorry if that sounds confusing):

\frac{13}{4}*3 = \frac{39}{4}\\ 8-\frac{39}{4} =  \frac{-7}{4}\\\frac{11}{4}*3 = \frac{33}{4}  \\-2+\frac{33}{4} = \frac{25}{4}

Therefore, our point that partitions CD into a 3:1 ratio is (\frac{-7}{4}, \frac{25}{4}).

I'm not sure if there was more to #5 judging by how part B was cut off. From what I can understand of part B, however, I believe that Beatriz started from endpoint D and moved towards C, the wrong direction. She found the coordinates for a 1:3 ratio point.

Also, for #6, since a square is a 2-dimensional object, the answer needs to be written showing that. The answer for #6 is 9 units^2.

7 0
3 years ago
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