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kari74 [83]
3 years ago
10

3

Mathematics
1 answer:
Reika [66]3 years ago
7 0

Answer:

The cost of 3 magnets is $1

The cost of 9 magnets is $3

The cost of 6 magnets is $2

Step-by-step explanation:

The cost of magnets is calculated using the equivalent ratio. If 3 magnets cost  $ then the multiple used for the calculations of more magnets is 3. The ratio for every magnet price is 1 : 3 which means every dollar will be equal to 3 magnets. The cost of 3 magnets is $1, the cost of 6 magnets is $2 and cost of 9 magnets is $3.

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The value of the expression decreases
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How do you substitute x+y=2 3x+2y=5
Monica [59]
Here's how you solve this.  So, x+y=2, right?  Let's isolate x.  x+y-y=2-y.  x=2-y.  NOW, if x=2-y, in 3x+2y=5, we can REPLACE x with 2-y and use it to solve for y!  3x+2y=5.  3(2-y)+2y=5.  (3*2)+(3*-y)+2y=5.  6+(-3y)+2y=5.  6+(-y)=5.  6+(-y)-6=5-6.  -y=-1.  -y/-1=-1/-1.  y=1.

So, if y=1, we can substitute that back into either equation--but let's go with the easier one, x+y=2.  x+1=2.  x+1-1=2-1.  x=1.  1+1=2, so that works; let's check the other equation.  3(1)+2(1)=5.  3+2=5.  5=5.  That's correct!

Answer: x=1, y=1
4 0
3 years ago
Read 2 more answers
What are the solutions of x^2 + 10x+16=0
Digiron [165]

Answer:

x=−2,−8

Step-by-step explanation:

Move terms to the left side. Then set each factor equal to zero.

x=−2,−8

5 0
3 years ago
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A medical test has been designed to detect the presence of a certain disease. Among people who have the disease, the probability
Oksi-84 [34.3K]

Answer:

a) 0.497

b) 0.0047

Step-by-step explanation:

a) The probability that the person actually has the disease

\frac{0.06 *0.93}{0.06 *0.93 + 0.06 *0.94} = 0.497

b) The probability that the person actually does have the disease\frac{0.06 *0.07}{0.06 *0.06 + 0.93 *0.94} = 0.0047

6 0
3 years ago
Which two values of x are roots of the polynomial below?
Julli [10]

Answer:

B. and C.

Step-by-step explanation:

1. Set the polynomial equal to zero:

x² + 5x + 7 = 0

2. Plug the given values of a, b, and c into the quadratic formula:

x=\frac{-5+-\sqrt{5^{2}-4(1)(7) } }{2(1)}

3. Solve the square root:

x=\frac{-5+-\sqrt{25-4(1)(7)} }{2(1)}

x=\frac{-5+-\sqrt{25-28} }{2(1)}

x=\frac{-5+-\sqrt{-3} }{2(1)}

4. Simplify the rest:

x=\frac{-5+-\sqrt{-3} }{2}

5. Separate the solutions:

x=\frac{-5+\sqrt{-3} }{2}  , x=\frac{-5-\sqrt{-3} }{2}

Thus, options B and C are the answers.

hope this helps!

4 0
2 years ago
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