Express 7.4% as a fraction and a decimal.

Solve 5 ÷ 4. Express your answer as a mixed number.

Georgia [21]

use photomath

5/4

1 whole

1 1/4

8 0

3 years ago

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit

coldgirl [10]

Changing the equation into slope form: $y = mx + c$ , where $m$ is the slope [gradient] and $c$ is the y-intercept.

$2x+3y=1470$
$3y = -2x+1470$
$y= - \frac{2}{3}x+ \frac{1470}{3}$
$y=- \frac{2}{3}x+490$

The gradient is $- \frac{2}{3}$ and y-intercept is at $y=490$

Graphing $y=- \frac{2}{3}x+490$ using slope-intercept method:
a) The slope is a negative slope. The line will go 'down hill'
b) The line must pass the point (0, 490)
c) The line will intercept the x-axis at y = 0
   $0 = - \frac{2}{3}x+490$
   $\frac{2}{3}x = 490$
   $2x = 1470$
   $x = \frac{1470}{2}$
   $x = 735$
So, x-intercept is at (735, 0)

The graph of this function is shown below. The intercepts are labelled at:
y = 490
x = 735

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Next month's profit equation

$2x+3y=1593$

Rewriting this into slope-equation form

$3y = -2x+1593$
$y=- \frac{2}{3}+ \frac{1593}{3}$
$y= - \frac{2}{3}+531$

The gradient, $m$ , equals to $- \frac{2}{3}$
The y-intercept, $c$ , equals to 531

The equation still has the same gradient with last month's profit equation but different y-intercept.

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A linear graph show points of (0, 300) and (450, 0)

We work out the slope:
$\frac{300-0}{0-450} = \frac{300}{-450}=- \frac{20}{30} =- \frac{2}{3}$

Y-intercept at x = 0, so it's at y = 300

Equation $y = - \frac{2}{3}+300$

6 0

3 years ago

The body of a 154 pound person contains approximately 2 x 10^-1 milligrams of gold and 6 x 10^1 milligrams of aluminum. Based on

KengaRu [80]

let a be aluminum and g be gold and k how many times:

2*10⁻¹mg a+ 6*10¹mg g= 154 lb

so a=kg

k=a/g

k=2*10⁻¹/6*10=1/300

a=1/300g

so Aluminum is 1/300 of gold.

3 0

2 years ago

An angle whose measure is -302° is in standard position. In which quadrant does the terminal side of the angle fall?

umka2103 [35]

Answer: Quadrant III

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Ken has to rent a car for a week and to pay no more than $130. How far can he drive if the car rental costs $94 a week plus $0.4

Elena-2011 [213]

Answer:

So he can travel a total of 90 miles

Step-by-step explanation:

Given:

Total he has to pay = $130

Per week cost = $94

Per mile cost = $0.40

To Find:

No of miles = ?

Solution:

The total he has to pay can be found out by the equation

Total = weekly cost + Miles cost

Now here

Miles cost = total no of miles traveled * per mile cost

This is due to the reason that he is travelling miles and we have to multiply it with it per mile cost to get the total miles cost

so

Let Total miles traveled be x then

Miles cost = $ 0.40 * x

Now we have

Total = weekly cost + Miles cost

Putting in the values we get

130 = 94 + 0.40 *x

subtracting 94 from both sides

130-94 = 94 + 0.40*x - 94

36 = 0.40*x

Dividing both sides by 0.4 we get

$\frac{36}{0.4}=\frac{0.4*x}{0.4}$

90 miles = x

or x= 90 miles

So he can travel a total of 90 miles

7 0

3 years ago