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3 years ago

Solve for g in the proportion. 3/g = 24/16

Mathematics

2 answers:

Nata [24]3 years ago

5 0

Answer:

This is your answer ☺️☺️☺️

strojnjashka [21]3 years ago

3 0

Answer:

Step-by-step explanation:

Hello,

We can solve this by simply cross multiplying both sides of the equation. This will give the following:

16x3 = 24xg

48 = 24g

Now solve for g by dividing both sides by 24. This will give the following:

g = 2

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slega [8]

5c + 30 because you use the distributive property 5 x c + 5 x 6

3 0

3 years ago

y = x2 - 6x - 8 Complete the square in the quadratic equation in order to write the equation in vertex form.

Airida [17]

Answer:

y = (x-3)^2 - 17

Step-by-step explanation:

To complete the square, take the middle term bx and divide it in two. Then take the square.

x^2 - 6x - 8 has bx = -6x. Take -6/2 = -3. Square -3^2 = 9.

Now to finish completing the square add 9 and subtract 9 from one side.

y = x^2 - 6x - 8

y = (x^2 - 6x +9) -9 - 8

y = (x-3)^2 - 17

8 0

3 years ago

A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0

3 years ago

Abi invest€500 for 4 years in a bank account pays simple interest at a rate of 2.3% per year work out the total amount of the in

timofeeve [1]

Answer:

46euros

Step-by-step explanation:

Formula- I=P*R/100*T

P=principal amount R=rate T=time

Compute the values given in the question to this formula

So, it would be-

I= 500*0.023*4

I= 46euros

And that's all!

7 0

3 years ago

A grocery store sells a bag of 6 oranges for $3.84. What is the cost of oranges, in

Vilka [71]

Answer:

Each orange would cost $0.64.

Step-by-step explanation:

If you do 3.84 and divide that by 6, you would get the answer of $0.64 for each orange.

3 0

3 years ago