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SVETLANKA909090 [29]
3 years ago
10

Ms. Johnson has a box of 60 red and black pens on the shelf. If the ratio of red to black pens is 2 to 3, how many red pens does

she have?
Mathematics
2 answers:
Elena-2011 [213]3 years ago
8 0
Red to Black.
2 to 3.
For every 2 red we have 3 black so
For 4 red we have 6 black and so on..
Notice that
For every 2+3=5 pens we have 2 red ones
If we divide the total number of pens 60 into groups of 5 we will get 60 /5= 12 groups.
12 groups •2 red pens=24 red pens
Ksivusya [100]3 years ago
5 0
40 red pens I believe
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How many triangles are there that satisfy the conditions a =13, b =9, A = 62°?
8_murik_8 [283]

Answer:

Step-by-step explanation:

Alright, lets get started.

Using sin Law,

\frac{sinA}{a}=\frac{sinB}{b}

Plugging the value of a, b and angle A

\frac{sin62}{13}=\frac{sinB}{9}

sinB=\frac{9*sin62}{13}

sinB=\frac{9*0.8829}{13}

sinB=0.61127

taking sin inverse on both sides

B=sin^{-1}(0.61127) =37.68

The may be another value of B that will called B' = 180-37.68=142.32

We will not consider this B' value because the um of angle B' and A will exceeds 180 degree (142.32+62=204.32)

Thats why only one triangle is possible.   :   Answer

Hope it will help :)

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4 years ago
Find two consecutive integers whose sum is 93. (Show work)
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Find the coordinates of the vertices of the image of triangle ijk after it is dilated by a scale factor of two using the organ a
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Which statement describes the graph of the system of equations below?
insens350 [35]
1.5x + 0.2y = 2.68....multiply by 0.3
1.6x + 0.3y = 2.98...multiply by - 0.2
------------------------
0.45x + 0.06y = 0.804 (result of multiplying by 0.3)
- 0.32x - 0.06y = - 0.596 (result of multiplying by - 0.2)
----------------------add
0.13x = 0.208
x = 0.208/0.13
x = 1.6

1.5x + 0.2y = 2.68
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0.2y = 2.68 - 2.4
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solution (they intersect at) (1.6,1.4)
8 0
3 years ago
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