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3 years ago

Factorise completely 15a^3 - 5abpwease help me

1 answer:

4 0

The first step to factorize is to find the common terms. In this 5a is common throughout. By taking it out we get the expression:

5a (3 a^2 -b)

Hope this helps!

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A $50 dallor shirt is on sale for $42. What percent does the costermer save

PolarNik [594]

The customer is saving 16% on the shirt

4 0

2 years ago

Find the perimeter of the following trapezoid: 6 ft 2.5 ft/ 12 ft 2.5 ft 8 ft

sasho [114]

Answer:

31ft

Step-by-step explanation:

6 ft + 2.5 ft + 12 ft + 2.5 ft + 8 ft = 31ft

I assumed the slash in the space between 2.5ft and 12ft was an error, so I ignored it in the solution to this problem.

Besides that, perimeter is found by adding all sides of the shape or figure together, and the sum of that is the perimeter.

The basic formula for perimeter is:

base + height + base + height.

I do not think you square perimeter as you do area (e.g. 31ft^2).

3 0

3 years ago

Find the sum of the first 3 terms in the geometric sequence when the first term is 12 and the common ratio is 0.2

fgiga [73]

0.1000 but yeah because that is the only way to meausre so yeah hope i help lol

5 0

3 years ago

A town has a population of 12000 and grows at 3.5% every year. What will be the population after 7 years, to the nearest whole n

Setler79 [48]

Answer:

15,267

Step-by-step explanation:

To solve this problem, lets use the exponential growth formula which is: $A = P(1+r)^t$

A = total amount

P = original amount

r = growth rate (decimal)

t = years

Before we plug in the values, don't forget to change 3.5% to its decimal form.

3.5% -> $\frac{3.5}{100}$ -> 0.035

Lets plug in the values:

$A=12,000(1+0.035)^7$

$A=15,267$

The population after 7 years will be 15,267.

8 0

3 years ago

A car travels 20 mph slower in a bad rain storm than in sunny weather. the car travels the same distance in 2 hrs in sunny weath

ycow [4]

You can create two equations.

"A car travels 20 mph slower in a bad rain storm than in sunny weather."

$\sf x-20=y$

Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.

"The car travels the same distance in 2 hrs in sunny weather as it does in 3 hrs in rainy weather."

$\sf 2x=3y$

Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.

We want to find the speed of the car in sunny weather, or 'x'. Plug in the value for 'y' in the first equation into the second equation.

$\sf \boxed{\sf x-20}=y$
$\sf 2x=3y\rightarrow2x=3(x-20)$

Distribute:

$\sf 2x=3x-60$

Subtract 3x to both sides:

$\sf -x=-60$

Divide -1 to both sides:

$\sf x=60$

So the car goes 60 mph in sunny weather.

5 0

3 years ago