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nirvana33 [79]
2 years ago
8

Phineas is the lead research scientist in a lab and responsible for ordering supplies and equipment. The lab is out of petri dis

hes, so Phineas orders 185 of them. The lab uses 12 petri dishes each day.Explain how you would write a two-variable linear equation for this situation.
Mathematics
2 answers:
Ksivusya [100]2 years ago
7 0

 the equation for a two variable equation is ax +by = r

r would be the total number of petri dishes ordered

 so you have ax + by = 185

ax would be the number of dished used times x number of days = 12x

 so you now have 12x + by = 185

 b is unknown so the equation becomes 12x +y = 185

natita [175]2 years ago
4 0
Ax+by=185
12x+by=185
answer is 12x+y=185
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Which number in the monomial 215x18y3z21 needs to be changed to make it a perfect cube?
Murljashka [212]
Remember
xyz=(x)(y)(z)
if x and y and z are all perfect cubes, xyz is also a perfect cube

remmeber
(x^n)^m=x^(mn)
so if it is perfect cube it can be factored into
(x^n)^3, such taht n is a whole number
basiclaly, see if the expoent is divisble by 3

all of them should be perfect cubes

215x^18y^3z^21

split them up to see which ones need changing

215=5*43, not  a perfect cube
could be changed to 6^3, which is 216

x^18=(x^6)^3

y^3=y^3
z^21=(z^7)^3

the 215 needs to be changed
 
8 0
2 years ago
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Multiplying StartFraction 3 Over StartRoot 17 EndRoot minus StartRoot 2 EndRoot EndFraction by which fraction will produce an eq
ziro4ka [17]

The fraction which produce an equivalent fraction with a rational denominator is \left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)

Explanation:

The equation is \frac{3}{\sqrt{17}-\sqrt{2}}

To find the rational denominator, let us take conjugate of the denominator and multiply the conjugate with both numerator and denominator.

Rewriting the equation, we have,

\frac{3}{\sqrt{17}-\sqrt{2}}\left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)

Multiplying, we get,

\frac{3(\sqrt{17}+\sqrt{2})}{(\sqrt{17})^{2}-(\sqrt{2})^{2}}

Simplifying the denominator, we get,

\frac{3(\sqrt{17}+\sqrt{2})}{17-2}

Subtracting, the values of denominator,

\frac{3(\sqrt{17}+\sqrt{2})}{15}

Dividing the numerator and denominator,

\frac{\sqrt{17}+\sqrt{2}}{5}

Hence, the denominator has become a rational denominator.

Thus, the fraction which produce an equivalent fraction with a rational denominator is \left(\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}\right)

6 0
2 years ago
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On a road map, the locations A, B and C are collinear. Location C divides the road from location A to B, such that AC:CB = 1:2.
koban [17]

Answer:

C. (-1,-2)

Step-by-step explanation:

Since C internally divides AB in the ratio AC/CB = 1/2 = m/n where m = 1 and n = 2, we use the formula for internal division.

Let A = (x₁, y₁) = (5, 16), B = (x₂, y₂) and C = (x, y) = (3, 10)

So x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Substituting the values of the coordinates, we have

x = (mx₂ + nx₁)/(m + n)

3 = (1 × x₂ + 2 × 5)/(2 + 1)

3 = (x₂ + 10)/3

multiplying through by 3, we have

9 = x₂ + 10

x₂ = 9 - 10

x₂ = -1

y = (my₂ + ny₁)/(m + n)

10 = (1 × y₂ + 2 × 16)/(2 + 1)

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multiplying through by 3, we have

30 = y₂ + 32

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So, the coordinates of B are (-1, -2)

3 0
2 years ago
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Lisa [10]

Answer:

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Step-by-step explanation:

(s circle t) (negative 7) is a notation for a compound function.

A compound function is a function that has as an argument another function.

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Now, we apply this value for s(x):

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5 0
2 years ago
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Match the expression with its name. 10x2 – 5x + 10
puteri [66]

Answer:

Step-by-step explanation:

quadratic trinomial :  YES.  Three terms, 2nd order polynomial.

cubic monomial:  NO; this is neither a cubic nor a monomial (1 term).

not a polynomial :  NOT true; this is definitely a polynomial.

fourth-degree binomial:   NO; it's a second-degree trinomial.

5 0
2 years ago
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