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Deffense [45]
3 years ago
15

You are making sets of pens and pencils to sell. You want each set to contain the same combination of pens and pencils. You have

105 pens and 147 pencils, and you want to use them all. What is the greatest number of these sets you can make?
1. 7 sets
2. 21 sets
3. 32 sets
4. 49 sets
Mathematics
1 answer:
harkovskaia [24]3 years ago
5 0
The greatest number of the sets you can make are 32 sets 
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On a string of red and blue lights, the red lights blink everyb3 seconds, and the blue lights blink every 5 seconds. How many ti
yuradex [85]
When will they blink together?
what is the smallest number they both mutiply to
3*5=15
so every 15 seconds
so at 15, 30, 45, 60 seconds
so 4 times if you count the time exactly at 1 minute
5 0
3 years ago
Not sure how to solve this
Diano4ka-milaya [45]

Step-by-step explanation:

You just have to plug the numbers they give you into the equation. For the first one, you have 0 + 5y = 10; 5y = 10; y = 2. For the second one, x + 5(0) = 10; x + 0 = 10; x = 10. And lastly, for the third one, x + 5(6) = 10; x + 30 = 10; x = -20.

7 0
3 years ago
Can anyone help me as soon as possible??
Bogdan [553]

Answer:

x = 16

Step-by-step explanation:

Δ AED and Δ ACB are similar thus the ratios of corresponding sides are equal, that is

\frac{ED}{CB} = \frac{AD}{AB} , substitute values

\frac{11}{8} = \frac{6+x}{x} ( cross- multiply )

11x = 8(6 + x) ← distribute

11x = 48 + 8x ( subtract 8x from both sides )

3x = 48 ( divide both sides by 3 )

x = 16

7 0
3 years ago
Find the equation of the line that passes through point A (1,7) and B (-3, -1)
amid [387]

Answer:

The equation of the line is 2 x - y + 5 = 0.

Step-by-step explanation:

Here the given points are A( 1, 7) & B( -3, - 1) -

Equation of a line whose points are given such that

( x_{1}, y_{1} ) & ( x_{2}, y_{2} )-

 y - y_{1}  = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }   ( x - x_{1}  )

i.e. <em> y - 7= \frac{- 1 - 7}{ -3-1}  ( x- 1)</em>

<em>       y - 7 =  \frac{- 8}{- 4} ( x -1)</em>

<em>       y - 7 =  2 ( x - 1) </em>

<em>       y - 7  =   2  x - 2</em>

<em>       2 x - y + 5 = 0</em>

Hence the equation of the required line whose passes trough the points ( 1, 7) & ( -3, -1)  is 2 x - y  + 5 = 0.

6 0
3 years ago
State restrictions for the given equation below
Genrish500 [490]

The restriction of the given equation is cos^{2}x =cos^{2} x,  other than 0≤x≤2π.

What is restriction of equation?

Restriction of the equation is the value of domain where the value is limited.

Given,

sin^{2} xcos^{2}x +cos^4x =(1-sinx)(1+sinx)

taking cos^2x common, we get

cos^2x(sin^2x+cos^2x)=1+sinx-sinx-sin^2x

we know

sin^2x+cos^2x=1\\cos^2x=1-sin^2x

we get,

cos^2x=cos^2x

and the restriction is 0≤x≤2π.

To know more restriction, visit:

brainly.com/question/68084

#SPJ1

8 0
11 months ago
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