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2 years ago

6. Find both solutions by factoring ): 3x^2 + 10x + 7 = 0

Mathematics

1 answer:

timama [110]2 years ago

7 0

Both solutions:
x = -1, -7/3

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A store sells Brazilian coffee for $10 per lb. and Columbian coffee for $14 per lb. If the store decides to make a 150-lb. blend

Artemon [7]

Answer:

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.

Step-by-step explanation:

Let "b" be the amount of Brazilian coffee, in pounds, required for the blend and "c" the amount of Colombian coffee required, in pounds.

Since there are two unknown variables a two-equation system is needed to solve the problem, we can set up one equation for weight and another for price as follows:

$b+c=150\\10*b+14*c=11*150$

Solve for "c" by multiplying the first equation by -10 and adding it to the second one:

$b+c=150\\10b+14c -10b-10c=11*150 -(10*150)\\4c=150\\c = 37.5$

Now, solve for b by replacing the value obtained into the first equation

$b+c=150\\b= 150 - 37.5\\b=112.5$

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.

6 0

3 years ago

Which will provide the largest yield on an annuity after 30 years with 6% annual interest, compounded monthly? Annuity A: Deposi

kiruha [24]

Answer:

Annuity C: Deposit $72,000 one lump sum

Step-by-step explanation:

The yield is improved when the money is on deposit for a longer period.

If the $2400 annual deposit is made at the first of the year, then it will yield more than $600 deposits made at the first of each quarter.

If the $72,000 deposit is made at the beginning of the period, the entire amount is earning interest for the entire period.

Annuity C will provide the largest yield.

3 0

3 years ago

What is customary length?

grigory [225]

Customary is a system of measurement used in the U.S. like feet, inches, etc.

4 0

2 years ago

Someone pleeeeaseeee help a sister out

zvonat [6]

I gottt you sis

P + 0.20p = 1.20p

P - 0.20p = 0.80p

P + 1/4p = 5/4p

P - 1/4p = 3/4p

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3 years ago

Which of the following lines best represents the fraction 9/10 on a number line?

Harman [31]

The answer is the second number line.

6 0

3 years ago

Read 2 more answers