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Neko [114]
2 years ago
5

An 8oz cup of coffee has about 184 mg of caffeine. This is 5 times much caffeine as in a 12 oz soft drink. Write and solve an eq

uation to find about howcaffeine is in a 12 oz caffeinated soft drink. Round your answer to the nearest whole number. (Please explain how to do this problem thanks!)
Mathematics
2 answers:
Svetllana [295]2 years ago
4 0
8 oz = 184 mg of caffeine
12 oz = 1/5 of 184 mg of caffeine

Let's say 12oz is x:

x = 184 * 1/5       or       x = 184 / 5
x= 36,8
x = 37                 (after rounding to the nearest whole number)

Answer: There are about 37 mg of caffeine in a 12 oz soft drink.
Zanzabum2 years ago
4 0

Answer:

Let x be the quantity of caffeine in 12 oz of soft drink (in mg )

Given,

The quantity of caffeine in 8 oz cup of coffee = 184 mg,

According to the question,

5 times of x =  caffeine in 8 oz cup of coffee,

⇒ 5x = 184

Which is the required equation,

By solving it,

x=\frac{184}{5}

⇒ x = 36.8 ≈ 37,

Thus, the caffeine in 12 oz of soft drink is 37 mg.

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7x-6y=15<br> -9x+6y=-9 Please help out
olga55 [171]

Geometric figure: Straight Line

Slope = 2.333/2.000 = 1.167
x-intercept = -15/7 = -2.14286
y-intercept = 15/6 = 5/2 = 2.50000
Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

7*x-6*y-(-15)=0

Step by step solution :

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Step 1 :

Equation of a Straight Line

1.1 Solve 7x-6y+15 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 7x-6y+15 = 0 and calculate its properties

Graph of a Straight Line :



Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/2 so this line "cuts" the y axis at y= 2.50000

y-intercept = 15/6 = 5/2 = 2.50000
Calculate the X-Intercept :

When y = 0 the value of x is -15/7 Our line therefore "cuts" the x axis at x=-2.14286

x-intercept = -15/7 = -2.14286
Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.500 and for x=2.000, the value of y is 4.833. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.833 - 2.500 = 2.333 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 2.333/2.000 = 1.167
Geometric figure: Straight Line

Slope = 2.333/2.000 = 1.167
x-intercept = -15/7 = -2.14286
y-intercept = 15/6 = 5/2 = 2.50000
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