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Yuliya22 [10]
3 years ago
11

Alex's mom gave her $27.75 to spend on smoothies for the entire month.How many smoothies can she buy during the month.​

Mathematics
1 answer:
Komok [63]3 years ago
5 0

Answer:

Around 6 smoothies

Step-by-step explanation:

1 smoothie = $4.25

? smoothies = $27.75

27.75 divided by 4.25 = 6.52941176470....

So like 6 smoothies with some spare change

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On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N
ivolga24 [154]

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

R =(5,5)

S= (2,1)

T = (1,3)

LMN

L = (0,-1)

M= (2,-4)

N= (-2,-3)

Required

Compare both areas

The area of triangle is:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|

For RST, we have:

Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|

Area = \frac{1}{2}|-10|

Remove absolute signs

Area = \frac{1}{2}*10

Area = 10

For LMN, we have:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|

Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|

Area = \frac{1}{2}|-14|

Remove absolute signs

Area = \frac{1}{2}*14

Area = 7

<em>By comparing both areas, we can conclude that LMN has a larger area</em>

3 0
3 years ago
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