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4 years ago

Two-fifths of a gallon

Mathematics

2 answers:

solong [7]4 years ago

5 0

Answer:

3 fithths of a gallon

Step-by-step explanation:

Strike441 [17]4 years ago

3 0

Answer:

8/5

Step-by-step explanation:

x=1/4

4x = 1 deck

2/5 = 1/4

4(2/5)= 4(1/4)

8/5=1

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A kitchen sink faucet streams 0.5 gallon of water in 10 seconds. Which faucet will fill a 3 gallon container faster?

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60 secounds, or 1 minute

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3 years ago

How to break up 13 times 8

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Read 2 more answers

Find all solutions to the equation (x² + 5x + 6)(x² − 3x − 4) = 0.

Soloha48 [4]

Answer:

The solutions are:

$x=-2,\:x=-3,\:x=-1,\:x=4$

Step-by-step explanation:

To find the solutions to the equation $\left(x^2+5x+6\right)\left(x^2-3x-4\right)=0$ you need to:

Factor $\left(x^2+5x+6\right)$

Break the expression into groups

$x^2+5x+6=\left(x^2+2x\right)+\left(3x+6\right)$

Factor out $x$ from $(x^2+2x)$

$x^2+2x=x\left(x+2\right)$

Factor out 3 from $3x+6$

$3x+6=3\left(x+2\right)$

$x^2+5x+6=x\left(x+2\right)+3\left(x+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+2\\\\x^2+5x+6=\left(x+2\right)\left(x+3\right)$

Factor $\left(x^2-3x-4\right)$

$x^2-3x-4=\left(x^2+x\right)+\left(-4x-4\right)\\\\x^2-3x-4=x\left(x+1\right)-4\left(x+1\right)\\\\x^2-3x-4=\left(x+1\right)\left(x-4\right)$

Therefore

$\left(x^2+5x+6\right)\left(x^2-3x-4\right)=\left(x+2\right)\left(x+3\right)\left(x+1\right)\left(x-4\right)=0$

Using the Zero Factor Theorem:

5 0

4 years ago

Tammy earns a base salary of $300 every week with an additional 9% commission on whatever she sells. What was Tammy's total pay

castortr0y [4]

Answer:

Tammy's total pay for the week is $588

Step-by-step explanation:

We are given the following in the question:

Tammy's salary = $300 every week

Percentage of commission on sales = 9%

Total sale during week = $3200

Commission earned =

$9\% \times 3200\\\\=\dfrac{9}{100}\times 3200\\\\=\$288$

Thus, Tammy's week salary =

Weekly salary + Commission on sales

= $=300 + 288\\=588\$$

Thus, Tammy's total pay for the week is $588 if she sold $3200 worth of products.

6 0

3 years ago

State the amplitude and period of f(x)= -3 sin t

Sphinxa [80]

Answer:

The period is $2\pi$ and the amplitude is 3.

Step-by-step explanation:

The period goes from one peak to the next (or from any point to the next matching point). The amplitude is the height from the center line to the peak.

The period of the function $y=a\sin (bx)$ is $T=\dfrac{2\pi }{b}$ and the amplitude is $|a|.$

Consider the function $f(t)=-3\sin t.$

The period for the function $f(t)$ is

$T=\dfrac{2\pi}{1}=2\pi$

and the amplitude is 3.

8 0

3 years ago