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3 years ago

H M M M M M MMmMmMmMmmMmMm

Mathematics

1 answer:

natima [27]3 years ago

6 0

Answer:

Step-by-step explanation:

$\frac{5}{6} +(\frac{-1}{6} )=\frac{5-1}{6} =\frac{4}{6}$

-1/6 means 1/6 left of 5/6

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Tim installs 50 square feet on his floor in 45 minutes. At this rate, how long does it take him to install 495 square feet?

Katena32 [7]

Answer:

445.5 minutes

or 7 hours 25 minutes 30 seconds

Step-by-step explanation:

We can use ratio's to solve

50 ft^2 495 ft^2

-------------- = ------------

45 minutes x minutes

Using cross products

50x = 45*495

50x=22275

Divide each side by 50

50x/50 = 22275/50

x =445.5

445.5 minutes

If we want to convert to hours and minutes, divide by 60

7 hours is 420 minutes

445.5 -420 = 25.5

7 hours 25 minutes

.5 minutes is 30 seconds

7 hours 25 minutes 30 seconds

6 0

3 years ago

Factor 5x2 + 28x – 12.

Masja [62]

Not sure whether the (x) in the first half of the equation refers to Multiply or x so jyst going to assume.

2(5x)+28x-12
= 2(5x+14x-6)
=2(19x-6)

6 0

4 years ago

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

Volume=125 cu ft<br> Length=5 ft <br>Width=?___ <br>Height=5 ft

Olegator [25]

Answer:

5 ft.

Step-by-step explanation:

First, start with a formula. To find the volume, you have to multiply the length, width, and height.

V = lwh

Plug in the variables that you already know.

125 = 5 ⋅ w ⋅ 5

Simplify.

125 = 25w

Divide both sides by 25 to isolate w.

5 = w

6 0

3 years ago

Lucas is borrowing money to purchase a vehicle. A car dealership will loan Lucas $18,000 with a simple interest rate of 14.5% ap

ASHA 777 [7]

Answer:

Difference in total payback = $5734.64

Step-by-step explanation:

Formula for the simple interest payout,

Interest = $\frac{P\times r\times t}{100}$

P = Principal amount of loan

r = rate of interest (Annually)

t = Duration for the payment

Interest = $\frac{18000\times 14.5\times 5}{100}$

= $13050

Total payable amount = 18000 + 13050

= $31050

Formula for the amount payable with compound interest,

Final amount = $\text{Initial amount}(1+\frac{r}{n})^t$

Here, t = Duration of investment

r = rate of interest (Annual)

n = Number of compounding per year

Payable amount = $18000(1+\frac{0.089}{1})^4$

= 18000(1.089)⁴

= $25315.36

Difference in total payback = $31050 - $25315.36

= $5734.64

7 0

2 years ago