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3 years ago

#1 Cassie and Anna went out to dinner together. Cassie paid 8 dollars more than

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

3 0

Answer:

$40

Step-by-step explanation:

Let the total bill be "x"

Now,

Anna paid 40% (40/100 = 0.4) of the bill, that means

Cassie paid 100 - 40 = 60% of the bill, that is 60/100 = 0.6

Anna paid 0.4x & Cassie paid 0.6x

Cassie's amount is 8 dollar more, so we can write:

0.6x - 8 = 0.4x

Now, we solve for x:

0.6x - 0.4x = 8

0.2x = 8

x = 8/0.2

x = 40

THe total bill is $40

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Answer:

See explanation

$2x^2+5x+3=(x+1)(2x+3)$

Step-by-step explanation:

1. Make sure that the trinomial is written in the correct order - the trinomial must be written in descending order from highest power to lowest power. In you case, the trinomial must be written as

$2x^2+5x+3$

2. Decide if the three terms have anything in common, called the greatest common factor or GCF. If so, factor out the GCF. Do not forget to include the GCF as part of your final answer.

In your case, coefficients 2, 5 and 3 do not have common factors, so go to the next step.

3. Multiply the leading coefficient and the constant, that is multiply the first and last numbers together:

$2\cdot 3=6$

4. List all of the factors from step 3 and decide which combination of numbers will combine to get the number next to x:

$6=1\cdot 6\\ \\ \bf{6=2\cdot 3}$

5. After choosing the correct pair of numbers, you must give each number a sign so that when they are combined they will equal the number next to x and also multiply to equal the number found in Step 3:

$2+3=5$