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Ket [755]
3 years ago
13

A recipe says to use 3cups of flour to make 48 cookies. What is a constant of proportionality that related the number of cookies

made ,y, to the number of cups of flower used ,x?
Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
6 0

Answer:

y=16 x=1

Step-by-step explanation:

For this one, we need to find the unit rate, which means how many cookies we can make using 1 cup of flour. To do that, we need to divide both the flour and the cookies by 3 to get 3/3=1 and 48/3=16. So the total amount of cookies made with one cup of flour is 16. So the constant proportionality is 16,1.

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Can someone please help me??
dmitriy555 [2]

Answer:

I is clear that, the linear equation 5x+12=5x-7 has no solution.

Step-by-step explanation:

<u>Checking the first option:</u>

\frac{2}{3}\left(9x+6\right)=6x+4

6x+4=6x+4

\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}

6x+4-4=6x+4-4

6x=6x

\mathrm{Subtract\:}6x\mathrm{\:from\:both\:sides}

6x-6x=6x-6x

0=0

\mathrm{Both\:sides\:are\:equal}

\mathrm{True\:for\:all}\:x

<u>Checking the 2nd option:</u>

5x+12=5x-7

\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}

5x+12-5x=5x-7-5x

\mathrm{Simplify}

12=-7

\mathrm{The\:sides\:are\:not\:equal}

\mathrm{No\:Solution}

<u>Checking the 3rd option:</u>

4x+7=3x+7

\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}

4x+7-7=3x+7-7

\mathrm{Simplify}

4x=3x

\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}

4x-3x=3x-3x

\mathrm{Simplify}

x=0

<u>Checking the 4th option:</u>

-3\left(2x-5\right)=15-6x

\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}

-6x+15-15=15-6x-15

\mathrm{Simplify}\

-6x=-6x

\mathrm{Add\:}6x\mathrm{\:to\:both\:sides}

-6x+6x=-6x+6x

\mathrm{Simplify}

\mathrm{Both\:sides\:are\:equal}

\mathrm{True\:for\:all}\:x

Result:

Therefore, from the above calculations it is clear that, the linear equation

5x+12=5x-7 has no solution.

4 0
3 years ago
My kid already tried 3x7x7x7x7 = 3 x 7 to the power of 4 but it says it’s wrong, help please!
slavikrds [6]

Answer:

7^{4} * 3

Step-by-step explanation:

6 0
3 years ago
What is RU? 5-1&amp;5-2 lesson quiz
navik [9.2K]

Answer:

v

Step-by-step explanation:

7 0
3 years ago
Including 5% sales tax, an inn charges $252 per night. Find the inn’s nightly cost before the tax is added
stira [4]

Hi,

To find the cost before tax, we must find out how much the tax is. So we multiply 252 x .05 to get 12.6. So we know the tax was 12.6 dollars. Now all we have to do is subtract that from the total to get our answer. 252 - 12.6 = 239.4.

Have a great day!

3 0
4 years ago
John makes 35% of his free throw shots.
Minchanka [31]

Answer:

(1)0.39

(2)0.14

(3)0.21

(4)0.26

Step-by-step explanation:

John makes 35% of his free throw shots.

  • The probability that John makes his shot =0.35
  • The probability that John misses his shot =1-0.35=0.65

Sue makes 40% of her free throw shots.

  • The probability that Sue makes her shot =0.4
  • The probability that Sue misses her shot =1-0.4=0.6

(1)John and sue both miss their shots

P(John and sue both miss their shots)

=P(John miss his shot) X P(Sue misses her shot)

=0.65 X 0.6 =0.39

(2)John and Sue both make their shots

P(John and Sue both make their shots)

=P(John makes his shot) X P(Sue makes her shot)

=0.35 X 0.4=0.14

(3)John makes his shot and Sue misses  hers

P(John makes his shot and Sue misses  hers)

=P(John makes his shot) X P(Sue misses her shot)

=0.35 X 0.6=0.21

(4)John misses his shot and Sue makes  hers

P(John misses his shot and Sue makes  hers)

=P(John miss his shot) X P(Sue makes her shot)

=0.65 X 0.4 =0.26

8 0
4 years ago
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