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Ipatiy [6.2K]
3 years ago
12

A cleaner recommends mixing 1½ cup of cleaner for every 12 cups of water. What is the ratio of cleaner to water in simplest form

?
Mathematics
1 answer:
guapka [62]3 years ago
6 0
We know that

<span>1½ cup of cleaner-------> (1*2+1)/2-----> 3/2 cup of cleaner

</span><span>the ratio of cleaner to water=(3/2)/12---> 3/(2*12)--> 3/24-->  1/8

the answer is
1/8</span>
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Perform the indicated operation. 15b/4 * 8/9a^2b^2
Sergio [31]

Answer:

The simplified expression is \frac{10}{3 a^2 b}

Step-by-step explanation:

The given expression is:

\frac{15b}{4} * \frac{8}{9a^2 b^2}

Multiply the items in the numerator together ( 15b * 8 = 120 b). Also multiply the items in the denominator together ( 4 * 9a²b² = 36a²b²). The expression thus becomes:

= \frac{120b}{36 a^2 b^2} \\\\

Divide both the numerator and the denominator by 12b:

= \frac{120b /12b}{36 a^2 b^2/12b}

The expression finally becomes:

= \frac{10}{3 a^2 b}

7 0
3 years ago
A local baseball team played 35 games this season. If they won 4/5 of their games, how many games did they win? *
Lelechka [254]
Multiply 3/5*35. Numerator * numerator, denominator*denominator. Simplify before multiply.
And. 28
8 0
3 years ago
Find the measure of a positive angle and a negative angle that are coterminal with 100° sketch of three angles labeling clearly
docker41 [41]

Coterminal angles are different angles that have the same terminal side.

A positive angle has one turn more around so it has a measure of 100°+360° = 460°.

A negative angle will have a measure that is represented in clockwise rotation and be equal to 100° - 360° = -260°.

We can sketch an angle of measure 100°, a positive coterminal angle and a negative coterminal angle as:

3 0
1 year ago
Daily high temperatures in the city of Houston for the last week have been: 90, 93, 90 92, 90, 88, 98 (yesterday).
vesna_86 [32]

Answer:

  1. The answer or forecast for temperature using a three-day moving average =
  2. The answer or forecast for temperature using a three-day moving average =
  3. The mean absolute deviation based on a two-day moving average, covering all days =  

Step-by-step explanation:

1. Three-point averages are calculated by taking a number in the series with the previous and next numbers and averaging the three of them.

Step I - Calculate the three series of succession of numbers form the data and find the average of each of them:

A) (90 + 93 +90)/3 = 91.00

B) (93 + 92 + 90)/3 = 91.67

C) (90 + 92 +90)/3 = 90.67

D) (92 + 90 + 88)/3 = 90.00

E) (90 + 88 + 98)/3 = 92.00

So our series approximated to the nearest whole number is:

91, 92, 91, 90, 92

STEP II

 

From the series above the highest temperature today is unpredictable because the series is irregular. It went from 91 to 92, then it dropped to 90 and came back to 92.

             

2. Using a two day moving average we have

STEP I .  

Calculate the moving averages

           

A) (90+93)/2 = 91.50

B) (93 + 90)/2 = 91.50

C) (90 + 92)/2 = 91.00

D) (92 +90)/2 = 91.00

E) (90 + 88)/2 = 89.00

F) (88 + 98)/2 = 93.00

STEP II

The temperature also cannot be predicted because of the irregular series.

3. Calculating the Mean Absolute Deviation based on a two-day moving average

The formula for MAD = (∑|x_{i} - \frac{}{x}|)/n

STEP I

To find the mean absolute deviation of the data, start by finding the mean of the data set.

Mean of the data set =

(91.50 + 91.50 + 91.00 +  91.00 + 89.00 +93.00)/6

Mean = 91.17

STEP II

Get the distance between the data point and the mean:

  1. 91.50-91.17=0.33
  2. 91.50-91.17= 0.33
  3. 91.00-91.17= -0.17
  4. 91.00-91.17= -0.17
  5. 89.00-91.17= -2.17
  6. 90.00-91.17= -1.17

STEP II

Add all the distances together

0.33 + 0.33 - 0.17 - 0.17 - 2.17 - 1.17 = -3.02

STEP III

Divide the the sum by data points

-3.02/6

= -0.50

So on average the temperatures were <em>-0.50</em> from the mean.

Cheers!

3 0
3 years ago
Read 2 more answers
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Answer:

810kg is the answer

Step-by-step explanation:

Hope this helps:)

7 0
2 years ago
Read 2 more answers
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