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4 years ago

A 2 - a - 20 help me out please

1 answer:

4 0

Hey there,

By using the $AC$ method . . .

$x^{2} +bx+c$

We do $(a^{2} -a-20)$ using the
$AC$ method, and from this, our
answer would give us . . .

$(a-5) \ (a+4)$

Hope this helps.
~Jurgen

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How many cups of sorbet are used in. 8 cups of punch sorbet is 15%

MariettaO [177]

15% * 8 cups
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3 years ago

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When 50 mL of water is added, the graduated cylinder has a mass of 180 g. If a rook is added to the graduated cylinder, the wate

Bezzdna [24]

Answer:

2.25 (or $\frac{9}{4}$ ) g/mL

<u>Skills needed: Density</u>

Step-by-step explanation:

1) Briefly, let's cover what density is:

- It is $\frac{mass}{volume}$

- Measures the mass per unit of volume

- In this situation the formula for density is: $\frac{m_f-m_i}{v_f-v_i}$

---> $m_f$ is the final mass

---> $m_i$ is the initial mass

---> $v_f$ is the final volume

---> $v_i$ is the initial volume

2) In this case, we start out with a mass of 180 grams as stated in the problem, and also 50 mL of water initially.

This means that:

- $m_i$ is 180 g

- $v_i$ is 50 mL

3) Also, we end up with 270 g in mass, and 90 mL of water finally.

- $m_f$ is 270g

- $v_f$ is 90 mL

4) We can find density by substitute given the values above:

$\frac{270-180}{90-50} = \frac{90}{40} = \frac{9}{4} \text{ or } 2.25$

5) Our answer is 2.25 g/mL (since mass is grams (g), and volume is milliliters (mL) in the problem above).

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3 years ago

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Decrease 40 by 12.5%

vredina [299]

Answer:

Step-by-step explanation:

Multiply 40 by 0.125 (12.5%) and you get 5

Subtract 5 from 40

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3 years ago

A total of $32,000 is invested in two municipal bonds that pay 4.25% and 6.25% simple interest. The investor wants an annual int

Aleks04 [339]

Answer:

$16000 invested in 4.25% and 16000 invested in 6.25%

Step-by-step explanation:

Let x be the amount invested in 4.25% and y be the amount invested in 6.25%

4.25%= 0.0425

6.25%= 0.0625

$x+y= 32000$

subtract x from both sides

$y= 32000-x$

total interest earned is 1680

$0.0425x+0.0625y=1680$

$0.0425x+0.0625(32000-x)=1680$

Now solve for x and y

$0.0425x+2000-0.0625x=1680$

subtract 2000 from both sides

$-0.02x=1680-2000$

$-0.02x=-320$

divide by -0.02 from both sides

x=16000

$y= 32000-x$

$y= 32000-16000=16000$

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4 years ago

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The answer would be 3164 it is the greatest

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