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9966 [12]
2 years ago
7

Talia spent \dfrac34 4 3 ​ start fraction, 3, divided by, 4, end fraction of this week's allowance on candy. Of the money she sp

ent on candy, \dfrac56 6 5 ​ start fraction, 5, divided by, 6, end fraction was spent on gummy bears. What fraction of this week's allowance did Talia spend on gummy bears?
Mathematics
1 answer:
Lemur [1.5K]2 years ago
8 0

Answer:

\frac{5}{8}

Step-by-step explanation:

We have been given that Talia spent \frac{3}{4} of this week's allowance on candy. Of the money she spent on candy \frac{5}{6} was spent on gummy bears.

To find the fraction of this week's allowance spent on gummy bears, we will multiply both fractions as:

\text{Fraction of this week's allowance spent on gummy bears}=\frac{3}{4}\times \frac{5}{6}

\text{Fraction of this week's allowance spent on gummy bears}=\frac{3*5}{4*2*3}

\text{Fraction of this week's allowance spent on gummy bears}=\frac{5}{8}

Therefore, Talia spent \frac{5}{8} of this week's allowance on gummy bears.

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5 0
3 years ago
What the correct answer do not want the wrong answer please
Crank

Answer:

388.5yd²

Step-by-step explanation:

We have Triangle TUV

In the question, we are given already

Angle U = 32°

Angle T = 38°

Angle V = ???

Side t = 31yd

Side u = ?

Side v = ?

Area of the triangle= ?

Step 1

We find the third angle = Angle V

Sum of angles in a triangle = 180°

Third angle = Angle V = 180° - (32 + 38)°

= 180° - 70°

Angle V = 110°

Step 2

Find the sides u and v

We find these sides using the sine rule

Sine rule or Rule of Sines =

a/ sin A = b/ Sin B

Hence for triangle TUV

t/ sin T = u/ sin U = v/ sin V

We have the following values

Angle T = 38°

Angle U = 32°

Angle V = 110°

We are given side t = 31y

Finding side u

u/ sin U= t/ sin T

u/sin 32 = 31/sin 38

Cross Multiply

sin 32 × 31 = u × sin 38

u = sin 32 × 31/sin 38

u = 26.68268yd

u = 26.68yd

Finding side x

v / sin V= t/ sin T

v/ sin 110 = 31/sin 38

Cross Multiply

sin 110 × 31 = v × sin 38

v = sin 110 × 31/sin 38

v = 47.31573yd

v = 47.32yd

To find the area of triangle TUV

We use heron formula

= √s(s - t) (s - u) (s - v)

Where S = t + u + v/ 2

s = (31 + 26.68 + 47.32)/2

s = 52.5

Area of the triangle = √52.5× (52.5 - 31) × (52.5 - 26.68 ) × (52.5 - 47.32)

Area of the triangle = √150967.6032

Area of the triangle = 388.5454973359yd²

Approximately to the nearest tenth =388.5yd²

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Answer:

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