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nirvana33 [79]
3 years ago
9

PLEASE ANSWERRRRRRRRRR

Mathematics
1 answer:
mash [69]3 years ago
8 0

Answer: OPTION B.

Step-by-step explanation:

Given the following System of equations:

\left \{ {{3x-5y=19} \atop {x+y=1}} \right.

You can use the Elimination Method to solve it. The steps are:

1. You can mutliply the second equation by -3.

2. Then you must add the equations.

3. Solve for the variable "y".

Then:

\left \{ {{3x-5y=19} \atop {-3x-3y=-3}} \right.\\.....................\\-8y=16\\\\y=\frac{16}{-8}\\\\y=-2

4. Now that you know the value of the variable "y", you must substitute it into any original equation.

5. The final step is to solve for "x" in order to find its value.

Then:

x+(-2)=1\\\\x=1+2\\\\x=3

Therefore, the solution is:

(3,-2)

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Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and th
Vesna [10]

Question is Incomplete; Complete question is given below;

Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. Which statements are true of the scenario? Check all that apply.

a. The independent variable, the input, is the variable d, representing distance.

b. The distance traveled depends on the amount of time Marlene rides her bike.

c. The initial value of the scenario is 16 miles per hour.

d. The equation t = d + 16 represents the scenario.

e. The function f(t) = 16t represents the scenario.

Answer:

OPTION (b) and (e) are the true statements.

Step-by-step explanation:

Given:

t=> time in hours that she rides

d=>  distance she rides

We have to find the statements that are true of the scenario.

Solution:

d=16t

The equation itself is a linear equation which presents an equation's scenario and time (t) is a independent variable and distance (d) is a dependent variable.

Equation for distance according to function is  f(t)=16t

Here, we can use graph tool, you can see the attested image below.

Function's domain is the interval⇒ [0,∞)

t\geq0

Function's range is the interval⇒ [0,∞)

f(t)\geq0

The statements which are TRUE are explained below :

b) The distance traveled depends on the amount of time Marlene rides her bike

It is true because as explained above that equation for distance according to function is  f(t)=16t

e) The function f(t) = 16t represents the scenario.

It is true because as explained that the scenario has been represented by the function above that f(t)=16t

* The statement (a) is false because the variable t is the independent variable.

* The statement (c) is false because 16 is been represented as the slope or the rate of the linear equation.

* The statement (d) is false because t = d + 16 donot represents the scenario.

8 0
2 years ago
In example 4, the volume of the beach ball is 17,000 cubic inches. Find the radius to the nearest inch. Use 3.14 for pi
blagie [28]

Volume of a sphere formula is: V=4 /3 πr^3

You know v=17000 and pi=3.14

17 000 = 4/3 x 3.14 x r^3

(divide 17 000 by 4/3 x 3.14 ) --> r^3 = 4060.51 (2dp)

(cube root is to get just r) r = 15.95 inches (2dp)

There 15 inches to the nearest inch.

Hope this is correct! :D


7 0
3 years ago
A rectangular prism has a length of 714 inches, a width of 612 inches, and a height of 10 inches.
den301095 [7]

Answer:

  • 8 times

Step-by-step explanation:

<u>The volume of the prism:</u>

  • V = lwh

<u>If each of the dimensions is doubled, then the volume becomes:</u>

  • V₁ = 2l*2w*2h = 8lwh = 8V

The larger prism has 8 times greater volume

8 0
3 years ago
I really need help with this, thank you!!!
Lyrx [107]

Answer:

6. 60°

7. 5.19559

8. 7.96011

Step-by-step explanation:

6. The sum of angles in a triangle is 180°, so the remaining angle is ...

  180° -40° -80° = 60°

7. The lengths of sides are proportional to the sine of the opposite angle (Law of Sines).

  a = c·sin(A)/sin(C) = 7·sin(40°)/sin(60°) ≈ 5.19559

8. Same explanation as 7.

  b = c·sin(B)/sin(C) = 7·sin(80°)/sin(60°) ≈ 7.96011  

3 0
3 years ago
Read 2 more answers
I need help with #28-31 please
Aliun [14]
(28) 2x+10+x-4=21
(29) 3x-16+4x-8=60
(30) 2x-8+3x-10=17
6 0
3 years ago
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