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larisa86 [58]
3 years ago
13

Rita bought some large packets of salt weighing 500grams each and some small packets of salt weighing 200 grams each. If she has

8 packets altogether and they weigh 2200 grams in total, how many of each kind does she have?
Mathematics
1 answer:
Rama09 [41]3 years ago
5 0
L+S=8, L=8-S

500L+200S=2200, using L from above in this equation gives you:

500(8-S)+200S=2200

4000-500S+200S=2200

4000-300S=2200

-300S=-1800

S=6, and since L=8-S:

L=2

So Rita bought 2 large packets and 6 small packets.
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Answer:

A and E

Step-by-step explanation:

Given

20x² - 26x + 8 = 0 ( divide through by 2 )

10x² - 13x + 4 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 10 × 4 = 40 and sum = - 13

The factors are - 5 and - 8

Use these factors to split the x- term

10x² - 5x - 8x + 4 = 0 ( factor the first/second and third/fourth terms )

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Equate each factor to zero and solve for x

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Anna [14]

Answer:

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Step-by-step explanation:

To find what the expression equals, you can collect like terms. This means to do the operations (add or subtract) the numbers that have the same variables.

(8x + 5) + (4x - 3)        Remove brackets to add a binomial (2-term brackets)

= 8x + 5 + 4x - 3        Collect like terms

= 8x + 4x + 5 - 3        I rearranged so you can see which terms are alike

= 12x + 5 - 3        Collected like terms with "x" (8x + 4x = 12x)

= 12x + 2        Collected like terms with no variables (5 - 3 = 2)

Therefore (8x + 5) + (4x - 3) is equal to 12x + 2.

If you want, you can also find another equal expression by factoring. Since "12x" and "2" are both divisible by the factor 2, you can <em>take it out</em> and put the other numbers in a bracket.

12x + 2

= 2(12x/2 + 2/2)

= 2(6x + 1)        This is equal, but in factored form.

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