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vredina [299]
3 years ago
8

A trail mix recipe asks for 4 cups of raisins for every 6 cups of peanuts. There is proportional relationship between the amount

of raisins, r (cups), and the amount of peanuts, p (cups), in this recipe.
Mathematics
2 answers:
torisob [31]3 years ago
6 0
If you put 6 serving of raisins in the mix and 4 servings of peanuts you will have an equal amout of each.
iris [78.8K]3 years ago
6 0

Answer:

r=\dfrac{2}{3}p

Step-by-step explanation:

A trail mix recipe asks for 4 cups of raisins for every 6 cups of peanuts.

There is proportional relationship between the amount of raisins, r (cups), and the amount of peanuts, p (cups), in this recipe.

The ratio of raisins and peanuts = 4:6  or 2:3

It would be same for every mixture.

If r cups of raisins and p cups of peanuts then their mixture ratio is r:p

Therefore,

\dfrac{r}{p}=\dfrac{2}{3}

r=\dfrac{2}{3}p

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Claire Judice
Julli [10]

Answer:

The values of 'x' are -1.2, 0, 0, -4i or 4i.

Step-by-step explanation:

Given:

The equation to solve is given as:

5x^5+6x^4+80x^3+96x^2=0

Factoring x^2 from all the terms, we get:

x^2(5x^3+6x^2+80x+96)=0

Now, rearranging the terms, we get:

x^2(5x^3+80x+6x^2+96)=0

Now, factoring 5x from the first two terms and 6 from the last two terms, we get:

x^2(5x(x^2+16)+6(x^2+16))=0\\x^2(x^2+16)(5x+6)=0

Now, equating each factor to 0 and solving for 'x', we get:

x^2=0\\x=0\ and\ 0\\\\5x+6=0\\x=\frac{-6}{5}=1.2\\\\x^2+16=0\\x^2=-16\\x=\sqrt{-16}=\pm 4i

There are 3 real values and 2 imaginary values. The value of 'x' as 0 is repeated twice.

Therefore, the values of 'x' are -1.2, 0, 0, -4i or 4i.

4 0
3 years ago
Estimate 76.216+66.36 by first rounding each number to the nearest whole number.
xeze [42]

Answer:

142

Step-by-step explanation:

  • Round the numbers to their nearest WHOLE NUMBER.

76.216=76\\66.36=66

  • Then ADD

76+66=142

6 0
3 years ago
Graph the quadratic function <br> F(x)=3x^2+6x-24
Oliga [24]
For this case we have the following function:
 F (x) = 3x ^ 2 + 6x-24
 We observe that it is a quadratic equation.
 The graph is therefore a parabola.
 Its cut points are:
 (-4, 0)
 (2, 0)
 Answer:
 
See attached image to see graph of the function

7 0
3 years ago
Find the area of the given triangles.
UNO [17]

Answer:

There's only one triangle, so Ill work with that.

A formula for a triangle is 30 x 75 x 1/2.

You can first multiply 30 and 75, or you can first use the 1/2 on 30.

15 x 75 = 1125

A: 1125.

Hoped this helped.

3 0
3 years ago
Read 2 more answers
What is the equation of a line in point slope form that oases trough (-2,-6) and has a slope of 1/3
lana66690 [7]

Answer:

y + 6 = \frac{1}{3}(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = \frac{1}{3} and (a, b) = (- 2, - 6 ) , thus

y - (- 6) = \frac{1}{3}(x - (- 2) ) , that is

y + 6 = \frac{1}{3}(x + 2)

8 0
3 years ago
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