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Dmitry [639]
3 years ago
5

The percents of different drinks sold at a snack shop are shown in the circle graph. What percent of the drinks sold were colas?

Mathematics
1 answer:
Airida [17]3 years ago
4 0
If this was you image:
Ice tea: 30%
Lemonade: 32%
Colas: ?

The percent of the drinks sold that were colas is 38%.

One whole circle is equivalent to 100%. Since the ice tea takes up 30% of the circle and lemonade takes up 32% of the circle, the remaining portion for colas is no longer 100%. We simply deduct these percentages from 100% to get the percentage of colas which is 38%.

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The unknown angle would be 79 degreese. 
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Which system of inequalities is graphed below?
lorasvet [3.4K]

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Y < x^2+3

Step-by-step explanation:

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Gia got some books from Library yesterday she got five books today Gia returned three books Gia has six books how many books did
makvit [3.9K]

Answer: 4


Explanation:


You can write an algebraic expression to represent the sequence with the books in this way:

  • yesterday she got five books: 5
  • today returned three books: - 3
  • how many books did Gia have to begin: n
  • At the end she has six books, which means that you can set an equality:

       n + 5 - 3 = 6

Now you follow these steps to clear the unknown:

  • do the operations in the left side: n + 2 = 6
  • use subtraction property of equality: n = 6 - 2
  • do the operations: n = 4

And that is the number of books whith which Gina started: 4

6 0
3 years ago
Solve this equation for a: 6a+3=45
fenix001 [56]

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6a+3−3=45−3

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Step 2: Divide both sides by 6.

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3 0
3 years ago
Find m∠STU and m∠TUA
PIT_PIT [208]

Answers:

  • angle STU = 65 degrees
  • angle TUA = 123 degrees

=========================================================

Explanation:

Let's find the expression for angle TUS in terms of x

Angle TUA has the expression 11x+2. It will add to angle TUS to get 180 degrees

(angle TUS) + (angle TUA) = 180

angle TUS = 180 - (angle TUA)

angle TUS = 180 - (11x + 2)

angle TUS = 180 - 11x - 2

angle TUS = -11x + 178

Now focus on the interior angles of triangle TUS. We have these three angles

  • T = 5x+10
  • U = -11x+178
  • S = 58

For any triangle, the interior angles always add to 180, so,

T+U+S = 180

(5x+10) + (-11x+178) + (58) = 180

(5x-11x) + (10+178+58) = 180

-6x + 246 = 180

-6x = 180-246

-6x = -66

x = -66/(-6)

x = 11

Use this x value to find the angle measures we're after:

  • angle STU = 5x+10 = 5*11+10 = 55+10 = 65 degrees
  • angle TUA = 11x+2 = 11*11+2 = 121+2 = 123 degrees

--------------------------

As an alternative route, you can apply the remote interior angle theorem. This says that adding two interior angles leads to the exterior angle that isn't adjacent to either one.

In this case, we would say

(angle STU) + (angle TSU) = angle TUA

that leads to the equation

(5x+10) + (58) = 11x+2

Solving this should lead to x = 11 to generate the angles mentioned earlier.

6 0
3 years ago
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