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miskamm [114]
3 years ago
8

The sum of a rational number and negative integer is rational

Mathematics
1 answer:
natulia [17]3 years ago
4 0

Answer:

correct

Step-by-step explanation:

negative integers are still rational numbers if it is a whole number or complete

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Monica sells lemonade over the summer and uses conical paper cups to serve
Alina [70]

Answer: She would need 206 paper cups.

Step-by-step explanation: First of all, Monica has a 10-gallon container full of lemonade and this translates into 37850 cubic centimetres volume of lemonade. The conversion rate has been provided as one gallon equals 3785 cubic centimetres, therefore ten gallons would be 3785 times ten which gives you 37,850 cubic centimetres of lemonade.

Each cone shaped paper cup has a diameter measuring 8 centimetres and 11 centimetres in height. The radius of the cone shaped cup therefore is 4 centimetres (radius equals diameter divided by two). The volume of each cup therefore is given as;

Volume of a cone = (πr²h)/3

Volume of a cone = (3.14 * 4² * 11)/3

Volume of a cone = 552.64/3

Volume of a cone = 184.2

If each cone could hold 184 cubic centimetres of lemonade, then the entire ten gallons would require the following number of cone shaped cups;

Number of cups = Total volume/Volume of a cup

Number of cups = 37850/184.2

Number of cups = 205.48

Rounded to the nearest whole number, this becomes

Number of cups ≈ 206

Therefore Monica would need 206 cone shaped paper cups to empty the entire 10 gallons of lemonade.

4 0
3 years ago
Mr. Davis divided his money in the ratio 4:6 between James and Brett. James got the smaller amount of $540. How much did Brett r
sattari [20]

Answer:

$810

LMK if you need an explanation.

3 0
3 years ago
Engineers and architects often use transformed shapes to design objects or structures. Analyze a building or structure around yo
Crank

Answer:

A two story home might use translation to have both floors identical and most homes have windows of the same size and shape so they might also use translation. Sometimes buildings use reflection to make rooms opposite each other the same.

Step-by-step explanation:

4 0
2 years ago
Six customers enter a gift shop during a 3-hour period. On average there are 0.25 customers in the gift shop and each spends 7.5
Stolb23 [73]

Answer:

6 is most directly associated with the flow rate of customers

Step-by-step explanation:

Reason:

0.25 is the number of customers in the gift shop at a given point of time is WIP inventory

7.5 is the average time spent by customer in the shop and it is the throughput time.

Flow rate = WIP inventory/Throughput time

=0.25/7.5

= 0.0333 per minute = 2 per hour or 6 per 3 hour as given in question.

6 0
3 years ago
Which expression is a factor of both (x - 2)^2 and -3x + 6
Natalija [7]

Answer:

-x+2or-1x+2

#

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

6 0
3 years ago
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