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Lady_Fox [76]
2 years ago
15

Suppose we write down the smallest (positive) $2$-digit, $3$-digit, and $4$-digit multiples of $7$.

Mathematics
1 answer:
scoray [572]2 years ago
3 0

Step-by-step explanation:

Smallest two digit number which is multiple of 7 = 14 (7*2)

Smallest three digit number which is multiple of 7 = 105 (7*15)

Smallest four digit number which is multiple of 7 = 1001 (7*143)

Sum = 14+105+1001 = 1120.

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16 is 80% of what number
RSB [31]

Answer:

20

Step-by-step explanation:

This reads mathematically exactly how it is stated in words.  The word "is" means =, the word "of" means multiply, and "what number" is x.  Therefore, the equation from that looks like this:  16 = .80x.  Don't forget that you cannot use a percent in an equation without first changing it to its decimal equivalency.  Solve that for x by dividing both sides by .80 to get that x = 20

3 0
3 years ago
Read 2 more answers
A caterer prepares twice as many pizzas as she usually prepares for a large party. The caterer usually prepares 4 pizzas. The ca
givi [52]

Total number of guests = 16

Solution:

Number of pizzas the caterer usually makes = 4

Number of pizzas the caterer make for a large party = twice of 4

                                                                                       = 2 × 4

                                                                                        = 8

So,the caterer makes 8 pizzas for a large party.

Quantity of pizza eat by each guest = \frac{1}{2} of a pizza

Let the number of guests be taken as x.

Total guest in the party

           = Total number of pizzas ÷ Amount of pizza eat by each guest.

   ⇒ x=8\div \frac{1}{2}

Division changed into multiplication when the digit of the denominator is reversed.

   ⇒ x=8\times \frac{2}{1}

   ⇒ x = 16

Hence pizzas served for 16 guests.

3 0
3 years ago
The average annual cost of the first year of owning and caring for a large dog is $1,843 (US News and World Report, September 9,
ICE Princess25 [194]

Answer:

a. Error is 0.14

b. between 1913.68 to 1772.32

Step-by-step explanation:

Requirement a)

The margin of error is a statistic expressing the amount of random sampling error in a survey's results.

Given,

Size of the sample n = 50

We know, At 95% confidence interval,

The margin of error,

= 0.98/√n  

= 0.98/√50

= 0.98/7.07

= 0.13859 ~ 0.14

So the margin of error at 95% confidence level is 0.14.

Requirement b)

Given,

Standard deviation σ = 255

Population mean z = 1814

Size of the sample n = 50

We know, At 95% confidence interval,

(z-µ)/(σ/√n)  < Z_0.05

= - Z_0.05 < (z-µ)/(σ/√n) < Z_0.05

= - 1.96 * σ/√n < (z-µ)/(σ/√n)*  σ/√n  < 1.96 * σ/√n  [ in two tail Z test the value of Z_0.05 is 1.96 ]

= - 1.96 * 255/√50 < Z-µ <  1.96 * 255/√50

= -70.6828 < Z-µ < 70.6828

= 70.6828 > µ - Z > -70.6828

= 70.6828 + Z > µ > -70.6828 + Z

= 70.6828 + 1814 > µ > -70.6828 + 1814

=1913.68 > µ > 1772.32

So, the sample mean would be between 1913.68 to 1772.32.

7 0
3 years ago
5(x+6)-2x=3(x+10) solve for x
Drupady [299]

Answer:

x=all real numbers

Step-by-step explanation:

1. distribute: 5(x+6)-2x=3(x+10)

                      5x+30-2x=3x+30

2. combine like terms 3x+30=3x=30

3. these are equal therefore x=all real numbers

6 0
3 years ago
Read 2 more answers
Marshall charges $22.00 per hour to cut yards in his neighborhood. Use the ratio of Marshall’s hours worked to the amount earned
Leni [432]
If there are $22 made per hour for 7 hours, you’d add 22 per hour in your table. 1 hour=$22, 2 hours=$44, 3 hours=$66, and so forth. make a table of these numbers up to 7 hours.
4 0
3 years ago
Read 2 more answers
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