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3 years ago

4.1 Number Talk: Division

Mathematics

1 answer:

Gnesinka [82]3 years ago

6 0

Answer:

645/100 = 129/20 or 6.45

645/50 = 129/10 or 12.9

48.6/30 = 1.62

48 divided by x = 48.6/x

Step-by-step explanation:

645/100

Factor the number:

= 5*129/100

Factor the number:

= 5*129/5*20

Cancel the common factor:

= 129/20

645/50

Factor the number:

5*129/50

Factor the number:

5*129 / 5*10

Cancel the common factor:

= 129/10

48.6/30

Write the problem in long division format

Multiply the quotient digit (1) by the divisor (30)

Subtract 30 from 48

Add a decimal and bring down the next number

Divide 186 by 30 to get 6

Continue...A few steps later...

Subtract 60 from 60

Solution is 1.62

48.6/x

Re-write division as a fraction:

48.6/x

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Is x equals 12 a solution to the equation 6 + x = 19

lara [203]

Answer:

19 minus 6 is equal to 13 so your answer would be thirteen

4 0

3 years ago

A random sample of the actual weight of 5-lb bags of mulch produces a mean of 4.963 lb and a standard deviation of 0.067 lb. If

dsp73

Answer: B) 4.963±0.019.

Step-by-step explanation:

Confidence interval for population mean ( when population standard deviation is not given) is given by :-

$\overline{x}\pm t^*\dfrac{s}{\sqrt{n}}$

, where $\overline{x}$ = Sample mean

n= Sample size

s= sample standard deviation

t* = critical t-value.

As per given:

n= 50

Degree of freedom = n-1 =49

$\overline{x}= 4.963\ lb$

s= 0.067 lb

For df = 49 and significance level of 0.05 , the critical two-tailed t-value ( from t-distribution table) is 2.010.

Now , substitute all values in the formula , we get

$4.963\pm (2.010)\dfrac{0.067}{\sqrt{50}}\\\\ 4.963\pm (2.010)(0.0094752)\\\\ 4.963\pm0.019045152\approx4.963\pm0.019$

Hence, a 95% confidence interval for the mean weight (in pounds) of the mulch produced by this company is $4.963\pm0.019$ .

Thus , the correct answer is B) 4.963±0.019.

7 0

3 years ago

June drove 176 miles in 3.2 hours.At this rate,how far will she drive in 5 hours?

Anastaziya [24]

Answer:

June will drive 275 miles in 5 hours.

Step-by-step explanation:

176/3.2 = x/5
3.2x = 176(5)
3.2x = 880
x = 880/3.2
x = 275
June will drive 275 miles in 5 hours.

4 0

3 years ago

Read 2 more answers

jeds market has a total of 26 employees. Each full time employee makes $275/ week, and each part-time employee makes $140/ week.

I am Lyosha [343]

Answer:

$f=17\\p=9\\$

Step-by-step explanation:

Let

$f= Full-time\\p=Part-time$

Full time rates-$275, Part-time rates-$140

The problem can be expressed as:

$f+p=26...eqtn1\\275f+140p=5935....eqtn2\\$

Express eqtn1 in terms of f, $f=26-p$

Substitute f value in eqtn 2.

$=>275(26-p)+140p=5935\\7150-275p+140p=5935\\1215=135p\\p=9\\f=26-9=17\\$

Therefore, jeds has 17 fulltime and 9 parttime employees.

8 0

3 years ago

A set of average city temperatures in December are normally distributed with a mean of 16.3 C and a

aleksley [76]

Answer:

Step-by-step explanation:

z value of 14.9 = (16.3 - 14.9) / 2

= 0.7

= .7580

z value of 12.9 = (16.3 - 12.9) / 2

= 1.7

=.9554

Required probability = .9554 - .7580

= .1974

or 19.74 % .

8 0

3 years ago