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3 years ago

12

Stanley is dividing 5 cookies so he can eat little pieces throughout the day. He wants to divide each cookie into 's. How many p

ieces will there be in 5 cookies? what is the answer

1 answer:

Temka [501]3 years ago

5 0

4 pieces * 5 cookies = 25

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Two lemon creams plus four fudge cookies have 450 calories. Four lemon creams plus two fudge cookies have 420 calories. How man

Gnoma [55]

Answer:

Each fudge cookie has 80 calories.

Each lemon cream has 65 calories.

Step-by-step explanation:

We will let $\ell$ represent the calories in lemon creams and $f$ represent the calories in fudge cookies.

Two lemon creams and four fudge cookies together have 450 calories. So, we can write the following equation:

$2\ell+4f=450$

And four lemon creams plus two fudge cookies together have 420 calories. So, we can write the following equation:

$4\ell+2f=420$

We now have a system of equations. We can solve this by elimination.

For the first equation, we can multiply both sides by -2. This way, the $\ell$ will cancel when we add the two equations together.

So, the first equation becomes:

$-4\ell-8f=-900$

Add this to the second equation. Hence:

$(-4\ell+4\ell)+(-8f+2f)=(-900+420)$

Simplify:

$-6f=-480$

Divide both sides by -6. Hence:

$f=80$

So, there are 80 calories in one cookie.

We can use the first equation again to find the amount of calories in one cream. We have:

$2\ell+4f=450$

Substituting 80 for $f$ yields:

$2\ell+320=450$

Then it follows that:

$\ell=65$

So, there are 65 calories in each lemon cream.

5 0

2 years ago

Read 2 more answers

What is 0.09 rounded to the nearest whole number?

ZanzabumX [31]

0.09 = 0.00 because 0 in the tenths is nearer to the 0 than the next number or digit :)

6 0

3 years ago

Read 2 more answers

What is the value of y

jenyasd209 [6]

Answer:

65°

Step-by-step explanation:

recall that for a triangle, the exterior angle (130 deg in this case) is equal to the sum of its remote interior angles (also see attached)

this means that

130° = y° + y°

or

2y° = 130°

y = 130/2 = 65°

7 0

3 years ago

I need help with number 4

Nadusha1986 [10]

$\bf \begin{cases}
\quad3x+2y=-9\\
-10x+5y=-5
\end{cases}$

so hmm the idea behind the elimination, is to make the value atop or below, of either variable, the same but with a negative sign

so hmmm say... we'll eliminate "y"

so... let's see, we have 2y and 5y, both positive
what do we multiply 2y to get a negative -5y, that way, -5y +5y = 0 and poof it goes

well let's see, let's try "k" $\bf 2yk=-5y\implies k=-\cfrac{5y}{2y}\implies k=-\cfrac{5}{2}$

so.. if we multiply 2y by -5/2, we'll end up with -5y

well, let's multiply that first equation then by -5/2

$\bf \begin{array}{rllll}
3x+2y=-9&\qquad\times -\frac{5}{2}\implies &-\frac{15}{2}x-5y=\frac{45}{2}\\\\
-10x+5y=-5&\implies &-10x+5y=-5\\
&&---------\\
&&\frac{-35}{2}x+0\quad=\frac{35}{2}
\end{array}\\\\
-----------------------------\\\\
\cfrac{-35}{2}x=\cfrac{-35}{2}\implies \cfrac{-35x}{2}=\cfrac{-35}{2}\implies x=\cfrac{2}{-35}\cdot \cfrac{-35}{2}
\\\\\\
\boxed{x=1}$

so.. now we know x = 1.... so let's plug that in say hmmm 2nd equation

$\bf -10(1)+5y=-5\implies -10+5y=-5\implies 5y=5\implies\boxed{ y=1}$

3 0

3 years ago

Harvey wants to paint one wall in his room with squares of different colors he want the size of each Square to measure one foot

natita [175]

Answer: 80 colors

Step-by-step explanation:

u multiply width x height and you get the square footage. Which then tells you how many colors you'll need.

3 0

3 years ago