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3 years ago

A package of 5 crackers contains 205 calories.how many calories are in one cracker

Mathematics

1 answer:

natulia [17]3 years ago

6 0

The answer is 41

All u do is divide 205 by 5 which will equal 41

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Select the simplification that accurately explains the following statement.

lutik1710 [3]

Answer:

Option (b) is correct.

$(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}=2^{1}=2$

Step-by-step explanation:

Given: $(2^\frac{1}{4} )^4$

We have too choose the correct simplification for the given statement.

Consider $(2^\frac{1}{4} )^4$

Using property of exponents, $(a^m)^n=a^m\times a^m\times a^m\times ....\times (n\ times)$

We have,

$(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}$

Again applying property of exponents $a^m\times a^m=a^{n+m}$

We have,

$(2^\frac{1}{4} )^4=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}$

Simplify, we have,

$(2^\frac{1}{4} )^4=2^{\frac{4}{4}}$

we get,

$(2^\frac{1}{4} )^4=2^{1}=2$

Thus, $(2^\frac{1}{4} )^4=2$

Option (b) is correct.

8 0

3 years ago

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Solve each system of equations

marishachu [46]

Answer:

1. x = 7/2 + 5y/2

2. x = 3/4 - 5y/8

3. x = 1/8 = 5y/8

Step-by-step explanation:

Thats all i can do. Its too confusing

3 0

2 years ago

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Solve for x. and please explain your answer

Natali [406]

Next to angle x is 102° and is you add 102 to angle x it has to equal 180 because that’s the value of half the circle so you do 180-102 which will give you 78

7 0

2 years ago

Unpopular opinion

Harlamova29_29 [7]

Answer:

no i think you are just unlucky :)

Step-by-step explanation:

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2 years ago

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A bag contains red balls and white balls. If five balls are to be pulled from the bag, with replacement, the probability of gett

Ipatiy [6.2K]

Answer:

Percentage of balls which are red = 80%.

Step-by-step explanation:

Let the probability of drawing a red ball be x then the probability of drawing a white ball is 1-x.

There are 5C3 = 10 ways of getting 3 reds in 5 draws so the probability of this is 10* x^3 * (1 - x)^2.

The probability of getting 1 red in 5 draws = 5C1 * x (1-x)^4.

The first probability is 32 times the last.

So we have the equation:

10x^3(1 - x)^2 / 5x(1 - x)^4 = 32

2x^2 / (1 - x)^2 = 32

2x^2 = 32(1 -x)^2

2x^2 = 32( 1 - 2x + x^2)

2x^2 = 32 - 64x + 32x^2

30x^2 - 64x + 32 = 0

15x^2 - 32x + 16 = 0

(5x - 4)(3x - 4) = 0

x = 0.8, 1.333...

The probability must be < 1 so x = 0.8 = 80%.

6 0

3 years ago