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34kurt
3 years ago
6

Rob is saving to buy a new MP3 player. For every $11 he earns babysitting, he saves $6. On Saturday, Rob earned $44 babysitting.

How much money did he save?
Mathematics
1 answer:
Anon25 [30]3 years ago
8 0

Answer:

Rob saved $24 on Saturday.

Step-by-step explanation:

Given:

Rob is saving to buy a new MP3 player.

Money earned in baby sitting = $11

Money saved =$6

First we will find the Percentage of amount he saved.

Percentage of amount he saved can calculated by Amount saved divided by total money earned and then multiplying by 100.

framing in equation form we get;

Percentage of amount he saved = \frac{6}{11} \times 100 \approx 54.55\%

Now Given:

Money earned in babysitting on Saturday = $44

We need to find the Money he saved on Saturday.

Money Saved can be calculated by Percentage of amount he saved multiplying by Money earned in babysitting on Saturday and then divided by 100.

framing in equation form we get;

Money Saved on Saturday = \frac{54.55}{100}\times 44 = \$24

Hence Rob saved $24 on Saturday.

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Answer:

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Step-by-step explanation:

The table shows a linear function.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (2, 7) ← 2 ordered pairs from the table

m = \frac{7-3}{2-1} = 4, thus

y = 4x + c ← is the partial equation

To find c substitute any ordered pair into the partial equation

Using (1, 3), then

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = 4x - 1 → C

3 0
3 years ago
Match the Polynomials with their names. ___ 2x 3 + 4x ___ 3x 5 + 3x 4 + x 3 ___ x 2 + 3 ___ 2x 2 + x − 5 A. Quintic trinomial B.
leonid [27]
We have that

case 1) 2x3 + 4x -----------> <span>C. cubic binomial
</span>The degree of the polynomial is 3----> <span>the greater exponent is elevated to 3 
</span>the number of terms is 2
<span>
case 2) </span>3x 5 + 3x 4 + x 3--------> <span>A. Quintic trinomial
</span>The degree of the polynomial is 5----> the greater exponent is elevated to 5
the number of terms is 3
<span>
case 3) </span>x 2 + 3----------> <span>B. quadratic binomial
</span>The degree of the polynomial is 2----> the greater exponent is elevated to 2
the number of terms is 2
<span>
case 4) </span>2x 2 + x − 5 A------------> D. quadratic trinomial
The degree of the polynomial is 2----> the greater exponent is elevated to 2 
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6 0
3 years ago
If 2 is added to both the numerator and denominator of a fraction its value becomes half. If two is subtracted from both the num
Hitman42 [59]

Answer:

The original fraction is \frac{6}{14}.

Step-by-step explanation:

Solution,

Let the fraction be'\frac{x}{y}'.

Where 'x' is the numerator and 'y' is the denominator.

Now according to question, if 2 is added to both the numerator and denominator the value of the fraction becomes 1/2.

So, framing the above sentence in equation form, we get;

\frac{x+2}{y+2}=\frac{1}{2}

On using cross multiplication method, we get;

2(x+2)=y+2\\\\2x+4=y+2\\\\2x+4-2=y\\\\\therefore\ y=2x+2\ \ \ \ equation\ 1

Now according to question, if 2 is Subtracted to both the numerator and denominator the value of the fraction becomes 1/3.

So, framing the above sentence in equation form, we get;

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

On using cross multiplication method, we get;

3(x-2)=y-2\\\\3x-6=y-2\\\\3x-y=-2+6\\\\3x-y=4 \ \ \ \ equation\ 2

Now Substituting the equation 1 in equation 1 we get;

3x-y=4\\\\3x-(2x+2)=4\\\\3x-2x-2=4\\\\3x-2x=4+2\\\\x=6

Now Substituting the value of x in equation 1 we get;

y=2x+2\\\\y=2\times6+2 = 14

Hence The original fraction is \frac{6}{14}.

4 0
3 years ago
Y = 2(x – 4)– 6<br> Vertex:<br> y-intercept: _
serious [3.7K]

Answer:

vertex: (4,-6), y= -14

Step-by-step explanation:

vertex can be derived from this formula

(4, -6)

to find y intercept you need to set x=0

y=2(0-4)-6

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Answer:

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