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3 years ago

4.8-2/5(w-6) mathematic equation

Mathematics

1 answer:

mixer [17]3 years ago

7 0

Answer:

$\frac{0.56}{w - 6}$

Step-by-step explanation:

1) Simplify 4.8 - 2 to 2.8.

$\frac{2.8}{5(w - 6)}$

2) Simplify.

$\frac{0.56}{w - 6}$

Therefor, the answer is 0.56/w-6.

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Two consecutive even numbers are such that five times the smaller number , subtracted from eight times the bigger gives 58. Find

olga55 [171]

Answer:

$14\text{ and }16$

Step-by-step explanation:

Let the smaller number be $x$ . Since they are consecutive even numbers, the larger number can be represented by $x+2$ .

Therefore, we have the following equation:

$8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}$

Thus, the larger number is $x+2=\boxed{16}$

6 0

3 years ago

What are the coordinates of the terminal point determined by t= 10 pie/3

Vanyuwa [196]

Answer:

we know that

10*pi/3------> convert to degrees------> 10*180/3=600 degrees

600=360+240

240 degrees belong to the III quadrant

the x-coordinate is negative

the y-coordinate is negative

240°=180°+60°

60 degrees is the angle to find the terminal point

let

∅=60°

in the unit circle

r=1 units

x=-r*cos ∅----> x=-cos 60------> x=-(1/2)

y=-r*sin ∅----> y=-sin 60------> y=-(√3)/2

the point is

-1/2,-√3/2

the answer is the option A

Step-by-step explanation:

5 0

2 years ago

What is the value of a for the exponential function in the graph represented in the form of f(x)=a(b^x)

Rina8888 [55]

Note: The complete question, along with the graph, is attached below.

Answer:

The value of a = 3

Step-by-step explanation:

Given the function

$f\left(x\right)=a\left(b^x\right)$

From the attached graph, it is clear that

at x = 0,

$f\left(0\right)=a\left(b^0\right)$

$\:f\left(0\right)\:=\:a\:\times \:1$ ∵ $b^0=1$

$f\left(0\right)=a$

Thus

When x = 0, the y-intercept will be:

$f\left(0\right)=a$

From the attached figure, it is clear that

at x = 0, the value of y = 3

putting y = 3 in the equation

$f\left(0\right)=a$

3 = a ∵ $f\left(0\right)=y=3$

Therefore, the value of a = 3

6 0

3 years ago

Two different types of tea are sold in your store. If you know 100 cups of tea were sold and one type sold 5 times as much as th

LiRa [457]

The answer can not be found from the given information

Step-by-step explanation:

Two different types of tea are sold in your store

You know 100 cups of tea were sold
One type sold 5 times as much as the other type

We need to find how much of each type of tea were sold

Assume that the two types are x and y

∵ x represents one type of tea

∵ y represents the other type of tea

∵ 100 cups of tea where sold

- Add x and y, then equate the sum by 100

∴ x + y = 100 ⇒ (1)

∵ x type is 5 times as much as y type

∴ x = 5y ⇒ (2)

Now we have a system of equations to solve it

Substitute x in equation (1) by equation (2)

∴ 5y + y = 100

∴ 6y = 100

- Divide both sides by 6

∴ y = 16.67

But you know number cups must be whole numbers

The number cups can be 102 OR one type is 4 times as much as the other type

If the number of cups is 102, then

85 cups of one type and 17 cups of the other type were sold

If one type is 4 times as much as the other type, then

80 cups of one type and 20 cups of the other type were sold

The answer can not be found from the given information

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

8 0

3 years ago

I don’t get this please help

Fiesta28 [93]

? = 180 - 77

? = 103

Answer

103°

5 0

4 years ago