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Alika [10]
3 years ago
6

Find a solution to the linear equation - 2x – 2y = 8 by filling in the boxes with a valid value of x and y.

Mathematics
1 answer:
adoni [48]3 years ago
4 0

Answer:

-2(-4)-2(0)=8

Step-by-step explanation:

Given

2x - 2y = 8

Required

Gaps: -2( )-2( )=8

<em>Fill in in the gaps</em>

The are numerous solutions to this.

One of them is:

Assume y = 0.

So, we have:

-2x - 2*0 = 8

-2x - 0 = 8

-2x = 8

Divide through by -2

\frac{-2x}{-2}= \frac{8}{-2}

x= -4

Fill in the gaps with these values of x and y respectively:

Hence; one solution is: -2(-4)-2(0)=8

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At the candy store there are 420 gumdrops and 280 chocolate bars, for a total of 700 candies all together. What is the ratio of
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Answer:

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Step-by-step explanation:

Given that:

Number of gumdrops = 420

Number of chocolate bars = 280

Total Number of candies = 700

To find:

The ratio of candies to chocolate bars = ?

Solution:

First of all, let us discuss the method to find the ratio of any two quantities.

Suppose, we need to find the ratio of two numbers p and q.

Then to find the ratio p:q , we need to divide p by q and represent it in the simplest form \frac{a}{b} such that a and b can not be divided further.

Here, to find the ratio of candies to chocolate bar:

Ratio = \dfrac{\text{Number of candies}}{\text{Number of chocolate bars}}\\\Rightarrow \dfrac{700}{280}

Here, we can simplify the fraction by dividing the numerator and denominator by 10 first:

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Now, let us divide the numerator and denominator by 14:

\dfrac{5}{2}

So, the ratio is <em>5 : 2</em>

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Step-by-step explanation:

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