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docker41 [41]
2 years ago
12

What is 4 2/3 × 6 7/10​

Mathematics
1 answer:
Elodia [21]2 years ago
3 0

Answer:

31 \frac{4}{15}

Step-by-step explanation:

(convert the mixed numbers into improper fractions = a\frac{b}{c} = \frac{a*c+b}{c} )

\frac{4*3+2}{3}*\frac{6*10+7}{10}  

Steps if needed:

4*3 = 12+2 =14

6*10=60+7=67

\frac{14}{3} *\frac{67}{10}=\frac{14*67}{3*10}

= \frac{938}{30}

Simplify: Divide by 2

\frac{469}{15} || 938/2 = 469   30/2 = 15

Convert your answer to a mixed fraction

31\frac{4}{15}

469/15 = 31.26....

15*31 = 465

465+4 = 469

So your answer is 31 4/15

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Rick invests $7,174 in an account that earns an annual interest rate of 3%. What will be the balance of the account in 18 years
vfiekz [6]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
In science class, Logan estimates the volume of a sample to be 42 mL. The actual volume of the sample is 48 mL. Find the percent
galina1969 [7]

Answer:

Percent of error of Logan's Estimate is 12.5%

Step-by-step explanation:

Given:

Actual Volume of sample =48 mL

Estimated Volume of sample = 42 mL

We need to find the percent errors of Logan estimate.

To calculate percent of error below are the steps.

Step 1: Subtract the Actual value from the estimated value.

Step 2: Take the absolute value of step 1

Step 3: Divide that answer by the Actual value.

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

Now Substituting the values we get;

Step 1: To Subtract Actual Volume with Estimated Volume

Estimated Volume of sample - Actual Volume of sample = 42 - 48 = -6 mL

Step 2: Find Absolute value we get;

|-6| = 6

Step 3 : Divide that answer by the Actual volume.

\frac{6}{48}=0.125

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

0.125\times 100 = 12.5\%

Hence Percent of error of Logan's Estimate is 12.5%

5 0
3 years ago
Two figures are shown. EFJL is dialation of ABIK AB has a length of 12 and EF has a length of 3
Dimas [21]

The scale factor of dilation from AB to EF is 0.25

<h3>How to determine the scale factor of dilation?</h3>

The given parameters are:

  • EFJL is dilation of ABIK
  • AB has a length of 12
  • EF has a length of 3

From the above parameters, side lengths AB and EF are corresponding sides

This means that:

The scale factor of dilation (k) is

k = AB/EF

So, we have

k = 3/12

Evaluate

k = 0.25

Hence, the scale factor of dilation from AB to EF is 0.25

Read more about scale factors at:

brainly.com/question/15891755

#SPJ1

4 0
1 year ago
Help me find the mean mode range median
pashok25 [27]

Answer:

Mean=2.53

median=2

mode=2

range=3

Step-by-step explanation:

1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4

MEAN

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

38/15=2.53

MEDIAN

Arrange data values from lowest to the highest value

The median is the data value in the middle of the set

If there are 2 data values in the middle the median is the mean of those 2 values.

MODE

Mode is the value or values in the data set that occur most frequently.

RANGE

18-15=3

5 0
3 years ago
Solve for x.<br><br> 3(2x+2)+x+5=-10
Paul [167]
3(2x+2)+x+5=-10
6x+6+x+5=-10
7x+11=-10
7x=-21
x=-3
8 0
3 years ago
Read 2 more answers
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