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notka56 [123]
2 years ago
14

Slope m = 2 y-intercept b = ? = Equation ?

Mathematics
1 answer:
Norma-Jean [14]2 years ago
8 0
Answer:

Slope m = 2

y-intercept b = 100

Equation: y = 2x + 100
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A boy has only dimes and quarters in his piggy bank. if he has 70 coins worth 12 dollars and 40 cents altogether, how many quart
dlinn [17]

Let us bear in mind the equivalent value of these coins: 

One dime = $0.10 

One quarter = $0.25 

Let x = number of dimes 

        y<span> = number of quarters</span> 

Since the boy has 70 coins in total, we can say that: 

<span>x + y = </span><span>70 </span>(can be written as x = 70 – y) 

Since the boy has a total of $12.40, we can say that: 

0.10x + 0.25y = 12.40 

To solve this problem, we need to solve this system of equation. We have to substitute the value of x as written in the first equation (x = 70 –y) 

0.10(70 – y) + 0.25y = 12.40 

7 – 0.10y + 0.25y = 12.40 

0.15y = 5.40 

y = 36 

X = 70 – 36 

X = 34 

Therefore,<span> the boys </span>has<span> 34 dimes and 36 quarters. To check our answer, we just have to check if his money would total $12.40.</span> 

34 dimes = $3.40 

36 dimes = $9.00 

<span>Total           </span><span>$12.40</span>

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Which of these is a proportional relationship?
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A woman spent two thirds of her money she lost two thirds the remainder and then had $4 left how much money did she start with
Lisa [10]

Answer

Find out  how much money did she start with.

To proof

let us assume that the money she had be x.

As given

woman spent two thirds of her money

Money\ spent = \frac{2x}{3}

Money she had after spent two thirds of her money  = Total money - money spent

= x - \frac{2x}{3}

= \frac{1x}{3}

As given she lost two thirds the remainder

=\frac{2}{3}\times ( money\ she\ had\ after\ spending\ two\ thirds\ of\ her\ money)

= \frac{2}{3} \times\frac{1x}{3}

we get

=\frac{2x}{9}

Money she had after lost two thirds the remainder = Money she had after spent two thirds of her money - she lost two thirds the remainder

= \frac{1x}{3} - \frac{2x}{9}

= \frac{1x}{9}

As given

she had $4 left

thus

\frac{1x}{9} = 4

x = $36

she start with $36.

Hence proved

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13/24 as a decimal rounded to the nearest tenth
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Answer:

13.24

Step-by-step explanation:

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