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Agata [3.3K]
3 years ago
5

24 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Nostrana [21]3 years ago
6 0
Red:green

5:3
5+3=8
8 units
4qt=8 units
divide by 8
0.5qt=1unit
5 unit=red
5*0.5=2.5qt, red=2.5qt
3unit=lime
0.5*3=1.5qt
1.5qt, 2/3 of that is yellow, 1/3 is blue, 1.5 times 2/3=1, 1.5 times 1/3=0.5
result:
2.5qt red
1qt yellow
0.5qt blue

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Analyze the diagram below and complete the instructions that follow. Find the area of QRS.
11Alexandr11 [23.1K]

<u>Answer-</u>

<em>The area of QRS is </em><em>238.7</em><em> sq units.</em>

<u>Solution-</u>

According to properties of supplementary angles,

m\angle R+124=180\\\\m\angle Q+132=180

So,

\Rightarrow m\angle R=180-124=56,\ m\angle Q=180-132=48

As the sum of measurement of all the angles in a triangle is 180, so

\Rightarrow m\angle S+m\angle R+m\angle Q=180

\Rightarrow m\angle S=180-m\angle R-m\angle Q

\Rightarrow m\angle S=180-56-48=76

Then the area of the triangle will be,

\text{Area}=\dfrac{1}{2}qr\sin S

=\dfrac{1}{2}\times 21\times 23.43\times \sin 76

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Jonathan’s class has 30 boys. Of the students in his class, 60% are girls. How many girls are in Jonathan’s class?
raketka [301]

Answer:

45 girls

Step-by-step explanation:

  • Remark
  • There are only 2 choices for gender. So if the class is 60% girls, the there must be 100 - 60 = 40% for the boys.
  • But we are told that the boys are 30 in number.
  • Let x = the total number of students.

Solution

  • 40/100 * x = 30              Change the % to a decimal
  • 0.4 x = 30                       Divide both sides by 0.4
  • 0.4 x / 0.4 = 30 / 0.4      Do the division
  • x = 30/0.4
  • x = 75 students in total

Formula

Total of Boys and Girls = Number of boys + number of girls.

Givens

  • Total = 75
  • Number of boys = 30

Solution II

  • 75 = x + 30                 Subtract 30 from each side
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  • 45 = x
  • There are 45 girls in the class.
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