What kind of reasoning was used in part (d)? Explain.

The sum of two numbers is equal to 11 and the difference is 19. What are the two numbers?

charle [14.2K]

$\bold{\huge{\pink{\underline{ Solution }}}}$

We have given in the question that, 

The sum of 2 numbers is equal to 11
The difference between two numbers is 19 .

$\bold{\underline{ To \: Find }}$

We have to find the value of x and y.

$\bold{\underline{ Let's \: Begin }}$

Let the two numbers be x and y

According to the question, 

$\sf{ x + y = 11......eq(1) }$

$\sf{ x - y = 19......eq(2) }$

Solving eq( 1 ) we get :- 

$\sf{ x + y = 11 }$

$\sf{ x = 11 - y ......eq(3 ) }$

Subsituting eq(3 ) in eq(2) :-

$\sf{ x - y = 19 }$

$\sf{ ( 11 - y) - y = 19 }$

$\sf{ 11 - y - y = 19 }$

$\sf{ 11 - 2y = 19 }$

$\sf{ - 2y = 19 - 11 }$

$\sf{ - 2y = 8}$

$\sf{ y = 8/(-2) }$

$\sf{ y = - 4 }$

$\sf{\red{Thus ,\: the\: value\: of \: y = -4}}$

Now, Subsitute the value of y in eq( 3 ) :-

$\sf{ x = 11 - y }$

$\sf{ x = 11 - (-4 ) }$

$\sf{ x = 11 + 4 }$

$\sf{ x = 15 }$

Hence, The value of x and y are 15 and (-4) .

5 0

2 years ago

A bag of apple chips says it contains five servings, and each serving is 100 calories. If you can consume 200 snack calories and

lubasha [3.4K]

Answer:

2 servings

Step-by-step explanation:

(200 calories)/(100 calories/serving) = (200/100) servings = 2 servings

5 0

3 years ago

The radius of a circle is 16 feet. What is the circle's area? Use 3.14 for . square feet

Alla [95]

Answer:

803.84 feet squared

Step-by-step explanation:

A=pi*r^2

16^2=256

256*pi=803.84

7 0

2 years ago

Can someone please help me with this

omeli [17]

Answers:

x = 3
CD = 21
DE = 16
CE = 21

=============================================================

Explanation:

The congruent base angles are D and E. Opposite those angles are the sides CE and CD. These opposite sides are the same length.

CE = CD

16x-27 = 4x+9

16x-4x = 9+27

12x = 36

x = 36/12

x = 3

This x value then leads to the following:

CD = 4x+9 = 4*3+9 = 12+9 = 21
DE = 7x-5 = 7*3-5 = 21-5 = 16
CE = 16x-27 = 16*3-27 = 48-27 = 21

We see that CD and CE are both 21 units long, which helps confirm we have the correct x value.

5 0

2 years ago

Read 2 more answers

Is 3.14 a rational or irrational

Karolina [17]

Answer:

Rational

Step-by-step explanation:

4 0

3 years ago