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3 years ago

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Vanessa is creating centerpieces for a reception. Each centerpiece will consist of eight flowers arranged around one candle. Van

essa will create 20 of these centerpieces. Each candle costs $6.00, and each flower costs $1.50. What is the final cost of the centerpieces?

2 answers:

slava [35]3 years ago

8 0

Answer:

The answer is $360.

Step-by-step explanation: To calculate the cost of the flowers: 8 x 20 x 1.50 = 240

To calculate the cost of the candles: 20 x 6 = 120

Add the totals together, and there you go.

mel-nik [20]3 years ago

7 0

Answer:

360

Step-by-step explanation:

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Extra points!! A candle is 17 in tall after burning for 3 hours. After 5

PIT_PIT [208]

Answer:

1) $h=-t+20$

2) 12 inches tall.

Step-by-step explanation:

1) The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

In this case:

$y=h$ (The height of the candle in inches)

$x=t$ (The time in hours)

Then, we can rewrite it:

$h=mt+b$

Based on the information provided in the exercise, the line passes through these points:

$(3,17)$ and $(5,15)$

Then, we can find the slope of the line with the formula $m=\frac{y_2-y_1}{x_2-x_1}$ :

$m=\frac{15-17}{5-3}=-1$

Now we need to substitute the slope and one of the points into $h=mt+b$ and then solve for "b":

$17=(-1)(3)+b\\\\b=17+3\\\\b=20$

Substituting values, we get that the a linear equation that models the relationship between the heigth of the candle and the time, is:

$h=-t+20$

2) We must substitute $t=8$ into the linear equation $h=-t+20$ in order to find the height of the candle after burning 8 hours:

$h=-(8)+20\\\\h=12$

4 0

4 years ago

Solve the proportion below. 9/x=1/2

KiRa [710]

Answer:

X=18

Step-by-step explanation:

$\frac{9}{x} = \frac{1}{2} \\ 9 \times 2 = x \times 1 \\ x = 18$

Here you have to use cross multiplication

6 0

4 years ago

96 fl ounces equals how many pints

lisabon 2012 [21]

6 pints = 96 fl oz

Hope that helps!!! ;)

8 0

4 years ago

Read 2 more answers

1 Find the value of C to that the function probability density function defined as follow, also calculate the man and variance /

Viefleur [7K]

Answer:

$c = \frac{1}{12}$

The mean of the distribution is 0.25.

The variance of the distribution is of 0.6875.

Step-by-step explanation:

Probability density function:

For it to be a probability function, the sum of the probabilities must be 1. The probabilities are 3c, 3c and 6c, so:

$3c + 3c + 6c = 1$

$12c = 1$

$c = \frac{1}{12}$

So the probability distribution is:

$P(X = -1) = 3c = 3\frac{1}{12} = \frac{1}{4} = 0.25$

$P(X = 0) = 3c = 3\frac{1}{12} = \frac{1}{4} = 0.25$

$P(X = 1) = 6c = 6\frac{1}{12} = \frac{1}{2} = 0.5$

Mean:

Sum of each outcome multiplied by its probability. So

$E(X) = -1(0.25) + 0(0.25) + 1(0.5) = -0.25 + 0.5 = 0.25$

The mean of the distribution is 0.25.

Variance:

Sum of the difference squared between each value and the mean, multiplied by its probability. So

$V^2(X) = 0.25(-1-0.25)^2 + 0.25(0 - 0.25)^2 + 0.5(1 - 0.25)^2 = 0.6875$

The variance of the distribution is of 0.6875.

4 0

3 years ago

Let f(x) = x2 + x + 2 and g(x) = 2x + 5. Find f(g(x)). Show each step of your work. (10 points)

DaniilM [7]

We were given;

f(x) = x² + x + 2

and

g(x) = 2x + 5

f(g(x)) = f(2x+5)

= (2x+5)²+(2x+5)+2

Expanding brackets gives;

=(2x)²+2(2x)(5) +5²+(2x+5)+2

Simplifying gives;

= 4x² +20x+25+ 2x+5+2

f(g(x))= 4x² +22x +32

6 0

3 years ago