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arsen [322]
3 years ago
9

Betty had $40 in her pocket. She bought 12 identical bags of popcorn. Betty was left with $10 after buying the popcorn. What was

the price, in dollars, of each bag of popcorn? 0.55 2.50 4.17 5.20
Mathematics
2 answers:
8_murik_8 [283]3 years ago
7 0
Each bag of popcorn cost $2.50. I know this, because if Betty had $40 in her pocket and left with $10, then she spent $30 on popcorn. 30 divided by 12 equals 2.5. So, each bag of popcorn cost $2.50
BartSMP [9]3 years ago
6 0
If she started with $40 and ended up with $10, that means she must've used $30. Since the popcorn bags were all identical and she bought 12, you can divide 30 by 12 which gives you 2.5. 

The answer is $2.50.
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The area of the sector formed by the 110 degree central angle is 50 units squared. What is the circumference of the circle
Mama L [17]

Answer:

The circumference of the circle is C=45.346 \:units.

Step-by-step explanation:

A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.

The area of a circle is given by A_{circle}=\pi r^2

The formula used to calculate the area of a sector of a circle is:

A_{sector}=\frac{central \:angle}{360} \cdot {Area \:of \:whole \:circle}\\\\A_{sector}=\frac{\theta}{360} \cdot \pi r^2

The circumference of a circle is the distance around the outside of the circle and its given by

C=2\pi r

We know the central angle \theta = 110º and the area of the sector 50 units squared.

First, we use the formula to calculate the area of a sector to find the radius.

50=\frac{110}{360} \cdot \pi r^2\\\\\frac{110}{360}\pi r^2=50\\\\\frac{11\pi }{36}r^2=50\\\\11\pi r^2=1800\\\\r^2=\frac{1800}{11\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{1800}{11\pi }},\:r=-\sqrt{\frac{1800}{11\pi }}

The radius can't be negative. Therefore,

r=\sqrt{\frac{1800}{11\pi }}\approx 7.217 \:units

Next, we apply the formula for the circumference of a circle.

C=2\pi (7.217)=45.346 \:units

7 0
3 years ago
660 is 10 times as much as 600 true or false
tatiyna
<span>False. 660 is not 10 times as much as 600. It is 10 times as much as 66, because everything has moved left in the place value column by one step. </span>
6 0
2 years ago
The perimeter of a rectangular field is 344m.if the length of the field is 93m.what is it’s width?
snow_tiger [21]

Answer:

79m

Step-by-step explanation:

344-(93x2)=158

158/2=79m

4 0
2 years ago
Read 2 more answers
NEED HELP ASAP
SIZIF [17.4K]

Answer:

The answer is one solution because the graphs are together in one specific point.

4 0
2 years ago
A P E X
alexgriva [62]

Answer:

504

step by step : 14x18=252. 20x18=360. 18x18=324. 58x18=1044. 71x18= 1278. 36x18=648. 28x18=504.

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

504

6 0
2 years ago
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