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ASHA 777 [7]
3 years ago
8

Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was \$43.25$43.25dollar sign, 43,

point, 25. He had to pay a \$7$7dollar sign, 7 entrance fee and \$1.25$1.25dollar sign, 1, point, 25 for every minute he was on the trampoline. Write an equation to determine the number of minutes (to)(, t, )that Raymond was on the trampoline. Find the number of minutes he was on the trampoline. minutes
Mathematics
1 answer:
Travka [436]3 years ago
5 0

Answer:

  29 minutes

Step-by-step explanation:

Raymond's total charge is the sum of the entrance fee and the per-minute charge for the number of minutes he used the trampoline:

  total charge = entrance fee + (per minute charge) × t

  43.25 = 7.00 + 1.25t . . . . . filling in the given numbers

  36.25 = 1.25t . . . . . . . . . . . subtract 7

  t = 36.25/1.25 = 29 . . . . . . divide by the coefficient of t

Raymond was on the trampoline for 29 minutes.

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A packet of candles and box of matches cost #420. The candles cost 20 times as much as the matches
olga55 [171]

Answer:

candles = $400

matches = $20

Step-by-step explanation:

Let cost of candles = $c

Let cost of matches = $m

c = 20 m (20 times m)

c + m = 420

20m + m = 420

21 m = 420

m = 20

c = 20 (20) = 400

6 0
2 years ago
What is typically used to quantitatively compare the effectiveness of layouts? A. trial and error B. load-distance model C. expo
Andre45 [30]

Answer:

B. load-distance model

Step-by-step explanation:

A. trial and error

Trial and error is "a fundamental method of problem solving. It is characterised by repeated, varied attempts which are continued until success". But this method is not the best in order to compare effectiveness of layouts

B. load-distance model

The load-distance method is a "mathematical model used to evaluate locations based on proximity factors. The objective is to select a location that minimizes the total weighted loads moving into and out of the facility. The distance between two points is expressed by assigning the points to grid coordinates on a map". And that's the correct option since we are trying to measure the effectiveness of layouts quantitatively.

C. exponential smoothing

This is "a rule of thumb technique for smoothing time series data using the exponential window function". Wheighting observations using the exponential function. But this is a techinique used to smooth s time series not to compare effectiveness of layouts.

D.process control charts

The Control Chart is a "graph used to study how a process changes over time with data plotted in time order". But we don't want to see how the process changes the objective is quantitatively compare the effectiveness of layouts, and this one is not the best option for this.

E. mean absolute deviation (MAD)

The median absolute deviation(MAD) is "a robust measure of how spread out a set of data is. The variance and standard deviation are also measures of spread, but they are more affected by extremely high or extremely low values and non normality". But again is just a measure of spread and not allow to compare effectiveness of layouts.

8 0
3 years ago
The average summer temperature in Anchorage is 69°F. If the daily temperature is normally distributed with a standard deviation
mafiozo [28]

Answer:

81.85%

Step-by-step explanation:

Given :

The average summer temperature in Anchorage is 69°F.

The daily temperature is normally distributed with a standard deviation of 7°F .

To Find:What percentage of the time would the temperature be between 55°F and 76°F?

Solution:

Mean = \mu = 69

Standard deviation = \sigma = 7

Formula : z=\frac{x-\mu}{\sigma}

Now At x = 55

z=\frac{55-69}{7}

z=-2

At x = 76

z=\frac{76-69}{7}

z=1

Now to find P(55<z<76)

P(2<z<-1)=P(z<2)-P(z>-1)

Using z table :

P(2<z<-1)=P(z<2)-P(z>-1)=0.9772-0.1587=0.8185

Now percentage of the time would the temperature be between 55°F and 76°F = 0.8185 \times 100 = 81.85\%

Hence If the daily temperature is normally distributed with a standard deviation of 7°F, 81.85% of the time would the temperature be between 55°F and 76°F.

7 0
2 years ago
1/3 of a number is 12 less than the number itself
natulia [17]
Let "x" be a substitute for "a number"

1/3(x)=x-12    Multiply by 3
x=3x-36         Get n onto the same side of the equation
2x=36            Divide by 2
x=18

That's your answer.
5 0
3 years ago
There are 24 pens in a desk drawer. The pens are either red or blue. The ratio of red pens to blue pens is 5:1. How many pens ar
Flura [38]

Answer:

The number of red pens is 20.

The number of blue pens is 4.

Step-by-step explanation:

We are given that, the ratio of number of red pens to the number of blue pens is 5 : 1.

∴ Let us assume that the number of red pens be 5<em>x</em> and number of blue pens be <em>x</em>.

Total number of pens in the desk drawer = 24

Now, according to question :

Number of red pens + Number of blue pens = 24

⇒5<em>x</em> + <em>x</em> = 24

⇒6<em>x</em> = 24

⇒x=\frac{24}{6}=4

So, number of red pens in the drawer = 5<em>x</em> = 5 × 4 = 20

Number of blue pens in the drawer = <em>x</em> = 4

6 0
3 years ago
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