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Alinara [238K]
3 years ago
9

A patient weighs 195 pounds and requires 279 milligrams of medicine. What is the amount of medicine required by a patient weighi

ng 130 pounds
Mathematics
1 answer:
WITCHER [35]3 years ago
6 0

Answer:

186 milligrams

Step-by-step explanation:

195 130

—— ——

279 X

Cross multiply

195x = 36270

——— ————

195 195

X = 186

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Two sides of a triangle are two consecutive number, whose area is 17.5cm². Find the numbers
AveGali [126]

Answer:

The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

Step-by-step explanation:

Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:

A = \frac{1}{2}\cdot n \cdot (n+1)

A = \frac{1}{2}\cdot (n^{2}+n)

A = \frac{n^{2}}{2}+\frac{n}{2}

n^{2}+n = 2\cdot A

Where n is the shortest length of the triangle, measured in centimeters.

And we get the following second-order polynomial:

n^{2}+n -2\cdot A = 0 (1)

If we know that A = 17.5\,cm^{2}, then the shortest length of the triangle is:

n_{1} = 5.437\,cm and n_{2} \approx -6.437\,cm

Since length is a positive variable, the only possible solution is:

n\approx  5.437\,cm

Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

6 0
3 years ago
If the output and input of a linear equation are proportional, where will the graph of the equation cross the x-axis?
mars1129 [50]

Answer:??? I don't know

Step-by-step explanation:

???

5 0
2 years ago
Someone please tell me what this is, the question is what is the slope of this line ?
AnnyKZ [126]

Answer:2/3

Step-by-step explanation:

rise/run. y=2 x=3

7 0
3 years ago
Read 2 more answers
If 3a + 2b = 7 and 2a + 2b = 9 , what is the value of
Simora [160]
Hey there :)

We have two equations:
3a + 2b = 7 
2a + 2b = 9

We need to solve simultaneously to find the values of a and b

eq.1    3a + 2b = 7
eq.2 ( 2a + 2b = 9 ) x -1  ) multiply by -1 to cancel 2b

  3a + 2b = 7
- 2a - 2b = -9         ( Add both together )
-------------------
   a = - 2 

Substitute the value you found for a in a in order to find b

3( - 2 ) + 2b = 7                                                     2( - 2 ) + 2b = 9 
- 6 + 2b = 7                                    OR                  - 4 + 2b = 9
2b = 13                                                                   2b = 13        
b = \frac{13}{2}                                                                 b = \frac{13}{2} 

3 0
3 years ago
−4+8x)+3&gt;x−4?<br><br> x&gt;16<br><br> x&lt;−1<br><br> x&lt;−323<br><br> x&gt;433
pentagon [3]

Answer:

x > 4/33

Step-by-step explanation:

(-4 +8x) +3> x/-4

8x - 1 > x/-4

-32x + 4 < x

4 < 33x

4/33 < x

6 0
2 years ago
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