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Lemur [1.5K]
3 years ago
7

One bar of candy A and two bars of candy B have 777 calories. Two bars of candy A and one bar of candy B contain 783 calories. F

ind the caloric content of each candy bar.
Mathematics
1 answer:
RSB [31]3 years ago
4 0

Answer:

A has 263 calories

B has 257 calories

Step-by-step explanation:

system of equations:

a + 2b = 777

2a + b = 783

I multiplied the first equation by -2 to eliminate the 'a' terms

  -2a - 4b = -1554

+ <u> 2a  + b =    783</u>

         -3b = -771

b = 257

solve for 'a'

a + 2(257) = 777

a + 514 = 777

a = 263

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Solve.
Serggg [28]

Answer:

The solution is (4, 0)

Step-by-step explanation:

Using Linear combination method to solve:

2d + e = 8\\d - e = 4\\

Since "e" have the same coefficient in both equation with opposite operator; we will add.

(2d + d) + (e - e) = (8 + 4)\\3d = 12\\

Divide both side by coefficient of d which is 3

\frac{3d}{3}  = \frac{12}{3} \\d = 4\\

Since d = 4; put 'd' into any of the equation to get 'e'

2d + e = 8\\2(4) + e = 8\\8 + e = 8\\e = 8 - 8\\e = 0\\

Therefore, the solution is (4, 0)

5 0
3 years ago
Determine whether the statement is always true, sometimes true, or never true. Give an example. (a) Both sides of an equation ca
arsen [322]

Answer:

(A) Always true

(B) Seldom true

Step-by-step explanation:

(A) Both sides of an equation can be multiplied by the same number without this action changing the solution of the equation.

Keyword here is "number".

Multiplying both sides of an equation by an equal quantity (same number) will result in same solution after solving for the unknown in the equation. This is because that numeric quantity can always be removed by dividing both sides of the equation by it or by a factor (or multiple) of it.

EXAMPLE:

For a linear equation, 4x - 6 = 15x

let's find the solution, in other words solve for the unknown value X.

4x - 15x = 6

-11x = 6

x = -6/11

Now multiply both sides of the equation by 3.

3(4x - 6) = 3(15x)

12x - 18 = 45x   ___new equation

Solve for X

12x - 45x = 18

-33x = 18

x = -18/33

Reduce the fraction to its simplest form by looking for a number that can divide both numerator and denominator without remainder. In other words, think of a number that is a factor of 18 and a factor of 33.

That common factor or highest common factor (HCF) is 3.

Go ahead and reduce the fraction.

x will be reduced to -6/11

(B) Both sides of an inequality can seldom be multiplied by the same number, without such action changing the solution set of the equation.

Inequalities are more complex. Operational signs even change sometimes, in the course of finding the solution set of the inequality.

Sometimes, multiplying both sides of an inequality by a given numeric quantity will change its solution set and sometimes, it won't.

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By what percent will a fraction decrease if its numerator is decreased by 50% and its denominator is decreased by 25%?
il63 [147K]
The answer is 66.6666%
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Write the expressions "Four times the difference of a number and 7 is 32", "One third of a number is 12 less than the number its
Anna71 [15]

<u>Part 1)</u> "Four times the difference of a number and 7 is 32"

Let

x--------> the number

we know that

the expressions is equal to

4(x-7)=32

therefore

<u>the answer part 1) is</u>

4(x-7)=32

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Let

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we know that

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<u>the answer part 2) is</u>

\frac{1}{3} x=(x-12 )

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Let

x---------> the number

we know that

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therefore

<u>the answer Part 3) is</u>

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Let

x---------> the number

we know that

the expressions is equal to

(3x)-1=5+x

therefore

<u>the answer Part 4) is</u>

(3x)-1=5+x

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2 years ago
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30-24.08=5.92, 5.92/.16=37 minutes

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