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2 years ago

Hi guys i need help solving −2.4n−3 and −7.8n+2.

Mathematics

1 answer:

Airida [17]2 years ago

5 0

Answer:

-5 = -5.4n

Step-by-step explanation:

- 2.4n -3 = -7.8n+2

add 2.4 to both sides

which would give you

-3 = -5.4n + 2

then you would subtract -2 from both sides

and -5 = -5.4n and this is one solution

You might be interested in

Email used a total of 7 1half

Gala2k [10]

13 - 5 5/6
= 12 6/6 - 5 5/6
= 7 1/6

hope it helps

7 0

3 years ago

Find the given term 11, -33,99 9th term

kvv77 [185]

Assuming the sequence goes on like this 11,-33,99,-297,891,...,
its general formula is $a_n=-11\cdot(-1)^n\cdot3^{n-1}$

So, the 9th term is
$a_9=-11\cdot(-1)^9\cdot3^{9-1}=-11\cdot(-1)\cdot6561=72171$

5 0

2 years ago

Plz help for financial algebra

serious [3.7K]

Answer: $277.91

<u>Step-by-step explanation:</u>

The average of the 2 highest salaried quarters is:

$\dfrac{\$13,500+\$12,775}{2}=\dfrac{\$26,275}{2}=\$3,137.50$

Divide that by 26 (weeks) to find out her average weekly salary:

$\dfrac{\$3,137.50}{26}=\$505.29$

Multiply that by 55% (0.55) to calculate her weekly unemployment benefit:

$\$505.29(0.55)=\$277.908$

Round to the nearest penny --> $277.91

4 0

2 years ago

AveGali [126]

Answer:

Total time taken by walking, running and cycling = 22 minutes.

Step-by-step explanation:

Let the speed of walking = x

As given,

The distance of walking = 1

Now,

As $Time = \frac{Distance }{Speed}$

⇒ Time traveled by walking = $\frac{1}{x}$

Now,

Given that - He runs twice as fast as he walks

⇒Speed of running = 2x

Also given distance traveled by running = 1

Time traveled by running = $\frac{1}{2x}$

Now,

Given that - he cycles one and a half times as fast as he runs.

⇒Speed of cycling = $\frac{3}{2}$ (2x) = 3x

Also given distance traveled by cycling = 1

Time traveled by cycling = $\frac{1}{3x}$

Now,

Total time traveled = Time traveled by walking + running + cycling

= $\frac{1}{x}$ + $\frac{1}{2x}$ + $\frac{1}{3x}$

= $\frac{6+3+2}{6x} = \frac{11}{6x}$

If he cycled the three mile , then total time taken = $\frac{1}{3x}$ + $\frac{1}{3x}$ + $\frac{1}{3x}$ = x

Given,

He takes ten minutes longer than he would do if he cycled the three miles

⇒x + 10 = $\frac{11}{6} x$

⇒ $x - \frac{11}{6} x = -10$

⇒ $-\frac{5}{6}x = -10$

⇒x = $\frac{60}{5}$ = 12

⇒x = 12

∴ we get

Total time traveled by walking + running + cycling = $\frac{11}{6} x = \frac{11}{6} (12) = 11 (2) = 22$ min

7 0

2 years ago

I’m having a lot of trouble, can someone guide me, step by step?

shutvik [7]

Answer:

Hi hopefully this helps you!

Step-by-step explanation:

To find the area of a circle you can use the formula A = πr^2

The radius of a circle is just the diameter divided by 2. In this case we know the diameter is 3, so the radius is 1.5

A = π(1.5)^2

= 7.07

Because this is a semicircle, divide this area by 2

= 3.53429 in^2

Add up the area of this semi circle with the area of the rectangle

A = (3.53429) + (3x4)

= 15.53429 in^2

To find the circumference/ perimeter of a circle use this formula C = 2πR

C = 2π(1.5)

= 9.42478 inches

Again because this is a semicircle, divide by 2

= 9.42478 / 2

= 4.71239 inches

To find the perimeter of this entire shape add up the circumference of the semicircle and the rectangle's sides and bottom

P = 4.71239 + 4 + 4 + 3

= 15.71239 inches

So the final answer would be

A = 15.53 squared inches

P = 15.71 inches

Hope this helps! Best of luck in your studies <3

6 0

2 years ago