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3 years ago

7

How do I Estimate how many cups of Fruit Trail Mix the recipe can make

1 answer:

Mars2501 [29]3 years ago

7 0

You can add the amount of ingredients all together so basically 4/8 + 3/8 + 8/8 + 2/8 which will get you 2 and 1/8 cups of fruit trail mix. hopefully that helps!

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When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F

aleksandr82 [10.1K]

Let $x$ be the unknown number. So, three times that number means $3x$ , and the square of the number is $x^2$

We have to sum 528 and three times the number, so we have $528+3x$

Then, we have to subtract this number from $x^2$ , so we have

$x^2-(3x+528)$

The result is 120, so the equation is

$x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0$

This is a quadratic equation, i.e. an equation like $ax^2+bx+c=0$ . These equation can be solved - assuming they have a solution - with the following formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

If you plug the values from your equation, you have

$x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}$

So, the two solutions would be

$x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27$

$x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24$

But we know that x is positive, so we only accept the solution $x = 27$

6 0

3 years ago

The diameter of a circle is 10 meters. What is the area of the circle? (Use 3.14 for Pi and round to the nearest tenth.)

Butoxors [25]

Answer:

Area of a circle=pi*(radius)^2

Diameter=2*radius

=> radius=5 m

Area=3.14*(5)^2=3.14*25=78.5 m^2

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

HELP ASAP ITS DUE RIGHT NOW

kirza4 [7]

Answer:

440

Step-by-step explanation:

5 0

3 years ago

Tamara looked at the expression 35 + z < 59. She believes that z can equal more than one value.

MakcuM [25]

Answer:

z<24

Step-by-step explanation:

It can't be more than one value. All you do is subtract 35 from both sides to isolate z.

Hope this helped!

4 0

3 years ago

Read 2 more answers

Y=x+5 y = x + 5 Find four points contained in the inverse. Express your values as an integer or simplified fraction.

Karolina [17]

Answer: (0,-5), (5, 0), (10, 5) and (15,10).

Step-by-step explanation:

Given equation: $y = x + 5$

To find its inverse we will find the value of x .

Subtract 5 from both sides

$x=y-5$

Switch y to x, we get

y= x-5, which is the inverse function.

At x=0,

y=-5

At x= 5,

y=0

At x= 10 ,

y=5

At x= 15,

y= 10

Hence, the four points contained in the inverse: (0,-5), (5, 0), (10, 5) and (15,10).

7 0

3 years ago