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AnnZ [28]
3 years ago
9

Wayne plans to make a nut mixture in the weight ratio 1:2:5, containing cashows, almonds, and pecans, respectively. Which situat

ion represents the function f() = 2p?
O the number of pounds of almonds Wayne needs, if he plans to use p pounds of cashews
O the number of pounds of cashews Wayne needs, if he plans to use p pounds of almonds
O the number of pounds of almonds Wayne needs, if he plans to use p pounds of pecans
O the number of pounds of pecans Wayne needs, if he plans to use p pounds of almonds​
Mathematics
1 answer:
kumpel [21]3 years ago
4 0

Answer:

the number of pounds of cashews Wayne needs, if he plans to use p pounds of almonds

Step-by-step explanation:

Ration of Almonds:cashows = 1:2

Almonds/cashows = 1/2

2Almonds = cashows

f() = 2p <--> cashows = 2Almonds

As a result, the function represents the number of pounds of cashews Wayne needs, if he plans to use p pounds of almonds

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When Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam. They had 504 chocolates altogether. How m
nataly862011 [7]

Answer:

315 chocolate

Step-by-step explanation:

Let Sam's chocolate be S

Let Clariss's chocolate be C

When Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam.

This can be written as:

C = 5S

The sum of their chocolate is 504 i.e

S + C = 504

Now, let us determine the chocolate of Clarissa after receiving 105 chocolate from Sam. This can be obtained as follow:

S + C = 504

But: C = 5S

S + 5S = 504

6S = 504

Divide both side by 6

S = 504/6

S = 84.

C = 5S = 5 x 84 = 420

Therefore, Clarissa have 420 chocolate after receiving 105 chocolate from Sam.

Now, to know the amount of chocolate that Clarissa has at first, we simply subtract 105 from the present amount that Clarissa have. This is illustrated below:

Amount of chocolate that Clarissa has a first = 420 – 105 = 315

Therefore, Clarissa had 315 chocolate at first.

6 0
4 years ago
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.48 before the discount, and
Tatiana [17]

Answer:

Step-by-step explanation:

c=t+p

c=0.2(78.84)+(1-0.15)(78.84)

c=0.2(78.84)+0.85(78.84)

c=15.768+67.015

c=15.77+67.02

c=$82.79

3 0
3 years ago
In a math class of 32 students, there are 12 female students. Which of the following options represent(s) a ratio of the number
Karo-lina-s [1.5K]
5/3, you take away 12 from 32 which leaves you with 20 and as it says a ratio of the number of boys to girls it would be 20:12 then you would simplify this to get 5:3 

hope this helps 



4 0
3 years ago
What's the equation for a circle of (2,-5) and a radius of 2
Ilya [14]

Answer:

(x+5)2+(y+5)2=22, or (x+5)2+(y+5)2=4.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the equation of the line tangent to the curve x³ + y³ = 2xy at (1,1).
VARVARA [1.3K]

Answer:

y = -x +2

Step-by-step explanation:

\text{Given that,}\\\\~~~~~~~~~~x^3 +y^3 = 2xy\\\\\implies \dfrac{d}{dx}(x^3 +y^3) = 2\dfrac{d}{dx}(xy)\\\\\implies 3x^2 +3y^2 \dfrac{dy}{dx} = 2 \left( y + x\dfrac{dy}{dx}\right)\\\\\implies 3x^2 + 3y^2 \dfrac{dy}{dx} = 2y + 2x\dfrac{dy}{dx}\\\\\implies 3y^2 \dfrac{dy}{dx}-2x \dfrac{dy}{dx} = 2y - 3x^2\\\\\implies (3y^2 -2x) \dfrac{dy}{dx}  = 2y-3x^2\\\\\implies \dfrac{dy}{dx} = \dfrac{2y-3x^2}{3y^2 -2x}\\

\text{At (1,1),}\\\\\text{Slope,}~ m = \dfrac{dy}{dx}\\\\~~~~~~~~~~~~~=\dfrac{2(1) -3(1^2)}{3(1^2)  -2(1)}\\\\~~~~~~~~~~~~~=\dfrac{2-3}{3-2}\\\\~~~~~~~~~~~~~=\dfrac{-1}{1}\\\\~~~~~~~~~~~~~=-1

\text{Equation of tangent line,}\\\\~~~~~~~~~y -y_1 = m(x-x_1)\\\\\implies y -1 = -1(x-1)\\\\\implies y -1 = -x+1\\\\\implies y = -x +1+1\\\\\implies y = -x +2

8 0
2 years ago
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