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yanalaym [24]
3 years ago
10

Emily thinks the perfect tomato sauce has 8 cloves of garlic in every 500{ mL} of sauce. Raphael's tomato sauce has 12 cloves of

garlic in every 900{ mL} of sauce. What will Emily think of Raphael's tomato sauce? Choose 1 answer: Choose 1 answer: (Choice A) It is too garlicky. (Choice B) It is not garlicky enough. (Choice C) It is perfect
Mathematics
2 answers:
igomit [66]3 years ago
5 0

For perfect solution we need to have :-  8 colves   in 500ml    solution

500   ml     has   8 cloves

1 ml             has     8 / 500 cloves

100ml         has   8 / 500  * 100  =    8/5  = 1.6 cloves

Raphael's mixture  

    900 ml  has 12 cloves

      1 ml     has   12 / 900 cloves

   100 ml has   12 / 900 *  100   =    12 / 9  =   1.33 cloves

so concentration of garlic in 100 ml solution of Raphael's solution is less than Emily's solution    so it is not garlicky enough.     ( option B)

balu736 [363]3 years ago
3 0

Answer:

so it is not garlicky enough.

Step-by-step explanation:

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Ilia_Sergeevich [38]

Answer:AGC and DGH are opposite angles.

Step-by-step explanation:

So, Y+10=3x-40

Y-3x=-50-(1)

3x-40=2x

3x-2x=40

x=40

Y-3x40=-50

y-120=-50

y=-50+120

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3 0
2 years ago
Given P(A)=0.78P(A)=0.78, P(B)=0.65P(B)=0.65 and P(A\cup B)=0.873P(A∪B)=0.873, find the value of P(A\cap B)P(A∩B), rounding to t
Sever21 [200]

Answer:

P(A\ n\ B) = 0.557

Step-by-step explanation:

Given

P(A) = 0.78

P(B) = 0.65

P(A\ u\ B) = 0.873

Required

Determine P(A\ n\ B)

From laws of probability, we have:

P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)

Substitute in values

P(A\ n\ B) = 0.78 + 0.65 - 0.873

P(A\ n\ B) = 0.557

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8 0
2 years ago
Vector v has a direction of (5,3) find the direction angle for v to the nearest degree
Vesnalui [34]

Answer:

31^{\circ}

Step-by-step explanation:

We have been given that vector v has a direction of (5,3). We are asked to find direction angle for v to nearest degree.

We know that direction of vector with components (a,b) can be determined by \theta=\text{tan}^{-1}(\frac{b}{a}).

Upon substituting the components of given vector in above formula, we will get:

\theta=\text{tan}^{-1}(\frac{3}{5})

\theta=30.9637565^{\circ}

Upon rounding to nearest degree, we will get:

\theta\approx 31^{\circ}

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3 years ago
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blondinia [14]

Answer:

Part A:

P(x)=15x^4+30x^3-50

Part B:

P(4)=$4270

Step-by-step explanation:

Part A:

In order to find the profit function P(x) we have to integrate the P'(x)

P'(x)=x(60x^2+90x)

P'(x)=60x^3+90x^2

\int\limits {p'(x)} \, dx =\int\limits {60x^3+90x^2} \, dx

P(x)=15x^4+30x^3+C

when x=0, C=-50

P(x)=15x^4+30x^3-50

Part B:

x=4

P(x)=15x^4+30x^3-50

P(4)=15*4^4+30*4^3-50

P(4)=$4270

Profit from selling 400 pounds is $4270

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