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atroni [7]
2 years ago
8

Bone-shaped treats are 5 for $3.50 at Shelley’s store and Sarah wants to buy 12. She set up and solved this proportion to find h

ow much they would cost. Describe her error and find the correct solution.
5
3.5
=
12
x
3.5x = 60
x = $17.14
Mathematics
1 answer:
Lemur [1.5K]2 years ago
4 0

Answer:

Sarah multiplied the denominator by the denominator and the numerator by the numerator instead of finding the cross products. The equation should be 5x = 42, so the cost should be $8.40.

Step-by-step explanation:

Can I get brainliest?

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Circular tracts of land with diameters 900 meters, 700 meters and 600 meters are tangent to each other externally. There are hou
Rudik [331]

Answer:

\alpha=69.28^o

\beta=61.26^o

\gamma=49.46^o

<em />A=227980.26\ m^2<em />

Step-by-step explanation:

<u>Triangle Solving</u>

If we had a triangle will its three sides of known length, we can solve for the rest of the parameters of the triangle, i.e. the area, perimeter and internal angles.

The three circles have diameters 900 m, 700 m and 600 m and are tangent to each other externally. The distances from their centers (where houses are located) are the sum of each pair of the radius of the circles. Thus, the sides of the triangle are

x=450+350=800

y=450+300=750

z=350+300=650

The internal angles can be computed by using the cosine's law

x^2=y^2+z^2-2yzcos\alpha

y^2=x^2+z^2-2xzcos\beta

z^2=x^2+y^2-2xycos\gamma

Where \alpha, \beta and \gamma are the opposite angles to x, y and z respectively. Solving for each one of them:

\displaystyle cos\alpha=\frac{y^2+z^2-x^2}{2yz}

\displaystyle cos\alpha=\frac{750^2+650^2-800^2}{2\cdot 750\cdot 650}

cos\alpha=0.3538

\alpha=69.28^o

Similarly

\displaystyle cos\beta=\frac{x^2+z^2-y^2}{2xz}

\displaystyle cos\beta=\frac{800^2+650^2-750^2}{2\cdot 800\cdot 650}

cos\beta=0.4808

\beta=61.26^o

The other angle is computed now

\displaystyle cos\gamma=\frac{x^2+y^2-z^2}{2xy}

\displaystyle cos\gamma=\frac{800^2+750^2-650^2}{2\cdot 800\cdot 750}

cos\gamma=0.65

\gamma=49.46^o

The area can be found by

\displaystyle A=\frac{1}{2}x.y.sin\gamma

\displaystyle A=\frac{1}{2}\cdot 800\cdot 750\cdot sin49.46^o

A=227980.26\ m^2

8 0
2 years ago
Santiago hopes to buy a 4 horse trailer for about $12000. Describe all the numbers that when rounded to the nearest hundred are
jok3333 [9.3K]
To round a number to the nearest hundred, we count two places to the left of the decimal point, or from the last digit if the number is a whole number.

If the second digit from the last digit is upto 5, we add 1 to the preceding digit and we complete the last two numbers with zeros.

Therefore, any number from 11,950 to 12,049, will result to 12,000 when rounded to the nearest hundred.
8 0
2 years ago
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Shalnov [3]
Given the function f (x) = 3x, find the value of f-1 (81).
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Let a set of n elements. 
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Answer:

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Step-by-step explanation:Get rid of the dollar sign and just subtract like normal.

 

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                                = 2.64

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