Patricia roller skates 0.50 kilometers, straight north to the library. Then she walks 0.25 kilometers to her friend's house, which is straight north of the library. What is Patricia's displacement?

Answers

Answer 1

Answer: The answer is 0.75 kilometers.

Displacement is the shortest distance between the initial and the final point. But, Patricia roller skates in the straight line, so her displacement is the distance between the initial and the final point:

0.50 km + 0.25 km = 0.75 km.

Therefore, Patricia's displacement is 0.75 kilometers.

Answer 2

Answer:

The answer is: 0.75 km, north

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Which expression is equivalent to (st)(6)?O s(t(6))
O s(x) × t(6)
Os(6) × t(6)
O 6 × S(x) × t(x)

Answers

Hello!

Answer:

$\large \boxed{\sf {\circ} ~~~s(t(6))}$

Step-by-step explanation:

→ We want an expression wich is equivalent with (st)(6).

→ Let's develop this expression:

$\sf (st)(6)\n\n= \ (st) * 6\n\n= 6st\n\n= 6 * s * t\n\n= s * 6t\n\n= s(6t)\n\n= s(6 * t)\n\n= s((t(6))$

Conclusion:

So an equivalent expression of (st)(6) is s((t)(6)).

Final answer:

The term (st)(6) in mathematics signifies that 's' and 't' are multiplied together, and the result is then multiplied by '6'. Using the associative property of multiplication, the equivalent expression is s(t(6)).

Explanation:

In mathematics, the expression (st)(6) signifies multiplication. The presence of parentheses indicates that the variables 's' and 't' should be multiplied together first, and then the product should be multiplied by '6'. This principle is known as the associative property of multiplication, which states that the way in which factors are grouped in a multiplication problem does not change the product. Therefore, the equivalent expression to (st)(6) is s(t(6)), which means 's' multiplied by the product of 't' and '6'.

Learn more about Associative Property of Multiplication here:

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Jeff found 3 times as many seashells as his sister. Jeff found 39 seashells. How many seashells did his sister find? Write an equation to represent the situation. Then solve the equation to answer the problem.

Answers

39 divided by 3 = 13
She has found 13 sea shells

Answer:

13 sea shells :)

Step-by-step explanation:

39 ÷ 3 = 13 SEA SHELLS

hope this helped :)

Tabitha wants to hang a painting in a gallery. The painting and frame must have an area of 58 square feet. The painting is 7 feet wide by 8 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?

Answers

The quadratic equation would be;
x2+15x-2=0

Working:
Assuming the area around the painting i.e the frame, has a uniform thickness, then;
Length of painting and frame = 8+x
Breadth of painting and frame= 7+x

The area from above step gives;
A= LxW
A= (8+x)(7+x)
On expanding, 56+8x+7x+x2
On simplifying,
56+15x+x2. This should be equal to 58.
58=x2+15x+56
Taking 58 to the other side,
x2+15x-2=0

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