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goldfiish [28.3K]
1 year ago
10

PLEASE HELP!!!:

Mathematics
1 answer:
stiks02 [169]1 year ago
5 0

The volume of premium antifreeze to be used is 60 gallons.

The volume of water to be used is 120 gallons

<h3>What is a percentage?</h3>

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Let the volume of 60% pure antifreeze be used to make 20% pure antifreeze.

= x gallons  

The volume of 20% pure antifreeze = 180 gallons

For 60% pure antifreeze:

C₁ = 60% , V₁ = x gallons

For 20% pure antifreeze :

C₂ = 20% , V₂ = 180  gallons

Applying,

C₁V₁ = C₂V₂

60 × x = 20 × 180

x = 60 gallons

The volume of 60% pure antifreeze used = 60 gallons.

The volume of water to be used.

= 180 - 60 gallons

= 120 gallons

Thus,

The volume of premium antifreeze to be used is 60 gallons.

The volume of water to be used is 120 gallons

Learn more about percentages here:

brainly.com/question/11403063

#SPJ1

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Answer:

200 pencils and 120 pens

Step-by-step explanation:

Let the number of pencils be x while pens be y.

Considering the cost of whole purchase then, we get the equation

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Considering the number of items bought, then the equation is

x-y=80

Adding the two equations then we have

1.5x=300

x=300/1.5=200

Consideeing that x-y=80 and x is 200 then

200-y=80

y=200-80=120

Therefore, the pencils were 200 and pens 120 pieces

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Simplify the expression-3(b-7)
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-3(b - 7)

Multiply -3 into the parenthesis.

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3. CRAFTS Numa loves beads and wants to
valentina_108 [34]

The amount of beads according to the cube number is 238328.

According to the statement

we have to find that the value of the cube of the given value.

So, For this purpose, we know that the

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From the given information the number is:

(62)³

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Now, multiply these numbers

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So, The amount of beads according to the cube number is 238328.

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8 0
2 years ago
An isosceles triangle with equal sides of 5 inches and a base of 6 inches is inscribed in a circle. What is the radius, in inche
nikklg [1K]
Wow this is a doozy! First you have to figure out what is it you are looking for? If you make a dot in the center of the triangle (which is also the center of the circle) and draw a line from the center to one of the vertices of the triangle you have the radius of the triangle and also of the circle. If you draw all 3 radii from the triangle's center to its vertices, you see you have created 3 triangles within that one triangle.  The trick here is to figure out what your triangle measures are as far as angles go.  If we take the interior measures of those 3 triangles, we get that each one has a measure of 120 (360/3=120). So that's one of your angles, the one across from the side measuring 6. Because of the Isosceles Triangle theorem, we know that the 2 base angles have the same measure because the sides are the same. Subtracting 120 from 180 gives you 60 which, divided in half, makes each of those remaining angles measure 30 degrees. So if we extract that one triangle from the big one, we have a triangle with angles that measure 30-30-120, with the base measuring 6 and each of the other sides measuring 5. If we then split that triangle into 2 right triangles, we have one right triangle with measures 30-60-90. Dropping that altitude to create 2 right triangles not only split the 120 degree angle at the top in half, it also split the base side of 6 in half. So our right triangle has a base of 3 and we are looking for the hypotenuse of that right triangle.  WE have to use right triangle trig for that. Since we have the top angle of 60 and the base of 3, we can use sin60=3/x.  Solving for x we have x=3/sin60 which gives us an x value of 3.5 inches rounded from 3.464. I'm not sure what you mean by a mixed number unless you mean a decimal, but that's the radius of that circle.
6 0
3 years ago
7-70. Use your preferred method to solve
kirill [66]

Answer:

You would want to divide 6 by 2, getting x=3.

7 0
3 years ago
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