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RideAnS [48]
3 years ago
8

Serena wants to make snack bags for a trip she is going on. She has 12 granola bars and 30 pieces of dried fruit. If the snack b

ags should be the same without any food left over, what is the greatest number of snack bags Serena can make?
Mathematics
1 answer:
Masja [62]3 years ago
8 0
6 even bags: 2 granola bars and 5 pieces of dried fruit per bag
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<img src="https://tex.z-dn.net/?f=4%20%5Ctimes%208%20%5E%7B2x%20%2B%201%3F%7D%20%20%3D%2032%20%5E%7Bx%20%2B%202%7D%20" id="TexFo
svet-max [94.6K]

Answer:

x = 5

Step-by-step explanation:

<u>__________________________________________________________</u>

<u>FACTS TO KNOW BEFORE SOLVING</u> :-

  • a^x \times a^y = a^{x+y}
  • In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. : a^x = a^y  ⇒  x = y  [∵ Bases are equal on both the sides]

<u>__________________________________________________________</u>

4 \times 8^{2x+1} = 32^{x+2}

Lets express it in terms of 2.

=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}

=> 2^2 \times 2^{6x+3} = 2^{5x+10}

=> 2^{2 + 6x+3} = 2^{5x+10}

=> 2^{6x+5} = 2^{5x+10}

Here the bases on both the sides are equal. Hence ,

=> 6x + 5 = 5x + 10

=> 6x - 5x = 10 - 5

=> x = 5

6 0
3 years ago
What is the product,in square of the width (x = 18x) and the height (y) of the prism??
a_sh-v [17]
I think the answer to (Y) may be 40 cubic units
6 0
3 years ago
I can’t figure out this answer I’ve gotten so many and it seems non of them work
Mandarinka [93]

The quotient is 0.20125.

Solution:

Divide .03220 by .16

This can be written as

$\frac{\cdot 03220}{\cdot 16}

To divide this, we first remove the decimal term.

To remove decimal in denominator multiply and divide by 100.

$\frac{\cdot 03220}{\cdot 16}\times \frac{100}{100}=\frac{3.22}{16}

Now, divide 3.22 by 16.

The quotient is 0.20125.

The image of the long division is attached below.

6 0
3 years ago
2. Find the slope of the line graphed below!<br> Remember<br> Rise<br> Run<br> 10
Ivenika [448]

Answer:

-1/3

Step-by-step explanation:

4 0
3 years ago
Which is a better buy—100 sheets of binder paper at $2.50, or 150 sheets at $3.50?
VikaD [51]

Answer:

150 sheets is the better buy.

Step-by-step explanation:

Cost of each sheet when buying 100 = $2.50 / 100 = $0.0250'

If you buy 150 cost per sheet =  $3.50 / 150 = $0.0233.....

So buying 150 sheets is the better buy.

4 0
3 years ago
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