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3 years ago

13

Five friends are standing in a circle and playing a game where they toss a ball of yarn to one another. If each person is connec

ted by the yarn to each other person only once, how many lines of yarn will connect the group?

1 answer:

MissTica3 years ago

3 0

10 lines will connect them

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The table shows the price of some laptop computers.Rebecca wants to spend no more than $450 for a new computer.

hichkok12 [17]

Answer:

Part A) The inequality that represent this situation is equal to

$p\leq \$450$

Part B) Computer A, Computer B,

Step-by-step explanation:

Part A)

Let

p------> the price of a new laptop computer

we know that

The inequality that represent this situation is equal to

$p\leq \$450$

Part B)

we know that

If a price is a solution of the inequality, then the price must satisfy the inequality

<u>Verify each case</u>

case A) For $p=\$419$

Substitute the value of p in the inequality and then compare

$\$419\leq \$450$ ------> is true

therefore

Rebecca can buy computer A

case B) For $p=\$450$

Substitute the value of p in the inequality and then compare

$\$450\leq \$450$ ------> is true

therefore

Rebecca can buy computer B

case C) For $p=\$468$

Substitute the value of p in the inequality and then compare

$\$468\leq \$450$ ------> is not true

therefore

Rebecca cannot buy computer C

case D) For $p=\$451$

Substitute the value of p in the inequality and then compare

$\$451\leq \$450$ ------> is not true

therefore

Rebecca cannot buy computer D

5 0

4 years ago

The width of a rectangle is 9 less than twice its length. If the area of the rectangle is 96

Alja [10]

Thee diagonal of the rectangle is 13.86 cm long.

<h3>What is the length of the diagonal of rectangle?</h3>

We are given that;

Width of a rectangle is 9 less than twice its length. Thus, if length is L, then;

W = 2L - 9

Area formula for a rectangle is;

A = Length * Width

We are given area of rectangle = 96 cm²

Thus;

L(2L - 9) = 96

2L² - 9L = 96

2L² - 9L - 96 = 0

Using online quadratic equation calculator gives;

L = 9.53 cm

Thus;

W = 2(9.53) - 9

W = 19.06 - 9

W = 10.06 cm

The diagonal of the triangle will be gotten from Pythagoras theorem;

D = √(9.53² + 10.06²)

D = √192.0245

D = 13.86 cm

Thus, we conclude that the diagonal of the rectangle is 13.86 cm long.

Read more about Rectangle Diagonal at; brainly.com/question/7071655

#SPJ1

6 0

2 years ago

Combine Like Terms:<br> 10z + 2z - 2

KIM [24]

Answer:

the answer is 12z-2

Step-by-step explanation:

hope it help

7 0

3 years ago

Read 2 more answers

Put the following numbers in order from smallest to largest. 1 . first 2.05 2 . fourth 2.5 3 . second 20.5 4 . third 25

Basile [38]

Answer:

First: 2.05

Second: 2.5

Third: 20.5

Fourth: 25

5 0

3 years ago

A swimming pool 20 m long and 10 m wide is surrounded by a deck of uniform width. The total area of the swimming pool and the d

Anna007 [38]

$S = 704 \ m^2 \\width \ of \ the \ deck - x \\ \\S=a \cdot b \\ \\ (10+2x)(20+2x) = 704 \\ \\ 200+20x +40x+4x^2-704 =0\\ \\4x^2 +60x -504=0\ \ /:4$

$x^2+15x -126=0\\ \\a=1, \ b=15 , \ c= - 126 \\ \\\Delta =b^2-4ac = 15^2 -4\cdot1\cdot (-126) = 225 +504=729 \\ \\x_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{-15-\sqrt{729}}{2 }=\frac{ -15-27}{2}=\frac{-42}{2}=-21 \ can \ not\ be \ negative \\ \\x_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{-15+\sqrt{729}}{2 }=\frac{ -15+27}{2}= 6 \ m \\ \\ Answer : \ waist \ width \ is \ 6 \ m$

8 0

3 years ago

Read 2 more answers