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MA_775_DIABLO [31]
2 years ago
14

a pet store owner set the price of a bag of cat food at 50% above the cost. when it did not sell, the price was reduced 20% to 1

2$ what was the original cost
Mathematics
1 answer:
Ilya [14]2 years ago
8 0

Answer:

cost = $10

Step-by-step explanation:

let cost be x

Price = x+ (0.5x)= 1.50x

cost reduced in term of x is 20% of 1.50x

\frac{20}{100} * 1.50x = 0.3x

hence 1.50x - 0.3x = 12

1.2x=12

x= \frac{12}{1.2} = 10

cost = $10

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A barrel in Jim's yard contains 60 gallons of water. Water leaks out of the barrel at a rate of 1 gallon every 10 minutes. Creat
emmainna [20.7K]

Answer:

y=-0.10x+60

Step-by-step explanation:

Let

y -----> gallons of water remaining in the barrel

x-----> number of minutes elapsed

we know that

Water leaks out of the barrel at a rate of 1 gallon every 10 minutes

so

1/10=0.10\frac{gal}{min}

The linear equation that represent this situation is  

y=-0.10x+60

The graph in the attached figure

7 0
2 years ago
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If triangle LMN has an obtuse angle at vertex M, which statements could be true? Check all that apply.
nirvana33 [79]

Answer: Triangle LMN is an obtuse triangle.

The angle at vertex L is acute.

The angle at vertex N is acute.

Step-by-step explanation:

Here,  triangle LMN has an obtuse angle at vertex M,

Thus, by the definition of obtuse angle triangle LMN is an obtuse triangle,

Now, Angle M is obtuse,

⇒ 90° < m∠ M < 180°

Since, by the property of a triangle,

m∠ L + m∠ M + m∠ N = 180°

⇒  m∠ M = 180° - ( m∠ L+ m∠ N )

⇒ 90° < 180° - ( m∠ L+ m∠ N ) < 180°

⇒ 90° - 180° < - ( m∠ L+ m∠ N ) < 0

⇒ -90° < - ( m∠ L+ m∠ N ) < 0

⇒ 90° >  ( m∠ L+ m∠ N ) > 0      ( Since, a < b ⇒ - a > - b)

⇒ 90° > m∠ L and 90° > m∠ N

⇒ Both angle L and angle N are acute.

5 0
2 years ago
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Find the value of sin100.sin120.sin140.sin160​
NARA [144]

The value of sin100.sin120.sin140.sin160 is 0.1875

Step-by-step explanation:

To find the value of sin100.sin120.sin140.sin160, let us find the value of each angle.

The value of sin100=0.9848

The value of sin120=\frac{\sqrt{3} }{2}

The value of sin140=0.6428

The value of sin160=0.3420

Substituting the values of sin, we get,

sin100.sin120.sin140.sin160=0.9848*\frac{\sqrt{3} }{2} *0.6428*0.3420

Multiplying the values of sin, we get,

sin100.sin120.sin140.sin160=0.1875

Thus, the value of sin100.sin120.sin140.sin160 is 0.1875

8 0
2 years ago
A function of the form f(x) = abx is modified so that the b value remains the same but the a value is increased by 2. How do the
olga nikolaevna [1]

Answer:

The range stays the same.

The domain stays the same.  

Step-by-step explanation:

The function f(x)=ab^{x} is an exponential function, where <em>a</em> is the coefficient, <em>b</em> is the base and <em>x</em> is the exponent.

The domain for this kind of functions is: All real numbers.

And the range is: (0,∞); this happen because the exponential functions are always positive when <em>a</em>>0.

Therefore, if the value of <em>a</em> is increased by 2, the domains will stay the same and the range will stay the same: (0,∞). The coefficient does not change the domain or the range if it keeps the same sign.

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Express 3/4 in sixty-fourths
vesna_86 [32]
It would be 48/64 this is done by finding how many times 4 fits in 64 (64/4) then multiplying 3 by that answer
7 0
2 years ago
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