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Anna007 [38]
3 years ago
15

I eat 2 spoons of nuts every day for a week. Then I eat 3 spoons for the following w weeks. How many spoons did I eat on average

per day?
IGNORE THAT BUT WHAT DO I DO FOR 2ND PART
Each spoon has 3 nuts. How many nuts do I eat each day?
Mathematics
1 answer:
Likurg_2 [28]3 years ago
3 0

The first week you ate 2 spoons of nuts every day, for a total of 14 spoons of nuts.

For the next w weeks (i.e. the next 7w days) you ate 3 spoons per day, for a total of 21w spoons of nuts.

In total, you ate 14+21w spoons of nuts in 7+7w days, for an average of

\dfrac{14+21w}{7+7w}=\dfrac{2+3w}{1+w} spoons per day.

If each spoon has 3 nuts, in the first week you ate 2 spoons per day, i.e. 6 nuts per day. In the next weeks you ate 3 spoons per day, i.e. 9 nuts per day.

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With what the picture of the paper????

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3 years ago
Can anyone help me find the (?,?) coordinates? The given shape is a parallelogram.
Sonja [21]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Given shape is a parallelogram.

Construction: Draw a line joining the diagonals.

<em>In parallelogram, diagonals bisect each other.</em>

Solve it using mid-point formula:

$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right  )

Here x_1=m, y_1=n, x_2=h, y_2=0

$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n+0}{2}\right  )

$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right  )

Using this midpoint find the missing coordinate.

$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right  )

Let the missing coordinates by x and y.

Here x_1=0, y_1=0, x_2=x,  y_2=y

$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right  )

$\left( \frac{m+h}{2}, \frac{n}{2}\right  )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right  )

$\left( \frac{m+h}{2}, \frac{n}{2}\right  )=\left( \frac{x}{2}, \frac{y}{2}\right  )

Now equate the x-coordinates and y-coordinates.

$ \frac{m+h}{2}=\frac{x}{2}, \  \  \  \frac{n}{2} =  \frac{y}{2}

Multiply by 2 on both sides of the equation, we get

m + h = x, n = y

x = m + h and y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

7 0
3 years ago
9 to the power 18 = 27 to the power x work out the value of x
Strike441 [17]

Answer:

Step-by-step explanation:

27^x = 9÷(3^x)

So (3^3)^x = (3^2)÷(3^x)

So 3^3x = 3^(2-x)

Comparing powers on both sides,

3x = 2 - x

So, 4x = 2

So, x = 1/2

Given ( 27 ) ^ x = 9 / 3 ^x

⇒ ( 3 × 3 × 3 )^x = ( 3 × 3 ) / 3^x

⇒ ( 3 ³ )^x = 3² / 3^x

⇒  3 ^ 3x × 3^x = 3²            [ since  ( a ^m)^n = a ^mn ]

⇒ 3^ (3x +x) = 3²                [ since a^m × a^n = a ^m+n ]

⇒ 3^4x = 3²

⇒4x = 2                      [ since  If a ^m = a ^n then m = n ]

⇒ x = 2 / 4

 ∴ x = 1 / 2

I hope this helps you.

8 0
3 years ago
Translate the phrase into algebraic symbols.<br><br> the sum of a number y and sixteen.
jarptica [38.1K]
The answer to this is y+16
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2 years ago
Unit 1 Lesson 5 Cumulative Practice Problems Geometry Illustrative Mathematics answer key
AnnZ [28]

Congruent distance is a term used for distance with equal measurements. EA and EB are congruent; FA and FB are also congruent

I've added as an attachment, the image of the complete question.

From the attached image of the circles, we have the following observations

  • Points A and B are at the centers of both circles
  • Point E is at the exact point of intersection of both circles
  • Point F is also at the exact point of intersection of both circles (opposite point E).

These observations mean that:

  • The distance from A to E and B to E are the equal (congruent)
  • The distance from A to F and B to F are the equal (congruent)

Hence,

  • <em>Distance EA and distance EB are congruent;</em>
  • <em>Distance FA and distance FB are congruent;</em>

Read more about circles at:

brainly.com/question/11833983

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