Question

1. Sameera planned a rectangular walkway to be 25 ft long. She decides to change the walkway to be 45 ft long. What is the change in the scale factor?
1 to 9
1 to 5
5 to 9
9 to 5
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2. The list below shows all of the possible outcomes for flipping four coins.

HHHH
HHHT
HHTH
HHTT
HTHH
HTHT
HTTH
HTTT
THHH
THHT
THTH
THTT
TTHH
TTHT
TTTH
TTTT
What is the probability of getting the same number of heads and tails?
1/8
1/4
3/8
3/4
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3.What is the difference of –96.43 – (–98.67)?
–195.1
–2.24
2.24
195.1
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4.Yuuma applied the steps below to find the product of (–10.2)(–16.4).

Step 1: (–10.2)(–16.4) = (–16.4)(–10.2)
Step 2: = (–16.4)(–10) + (–16.4)(–0.2)
Step 3: = ____________
Step 4: = 167.28

Which expression correctly fills in the blank in Step 3?
(–164) + (–3.28)
164 – 3.28
(–164) + 3.28
164 + 3.28
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Answer ASAP!!!!!!!!!

Answer 1

1. i think 5 to 9
2. i think 3/8
3. 2.24
4. 164+3.28
hope this helps!

Answer 2

Answer:

1. The correct option is 3.

2.The correct option is 3.

3.The correct option is 3.

4.The correct option is 4.

Step-by-step explanation:

1.

Sameera planned a rectangular walkway to be 25 ft long. She decides to change the walkway to be 45 ft long.

The scale factor is

$k=\frac{\text{Initial length}}{\text{New length}}$

$k=\frac{45}{25}$

$k=\frac{9}{5}$

The scale factor is 9/5, it means the change in the scale factor is 5 to 9.

Therefore the correct option is 3.

2.

Total possible outcomes for flipping four coins are

S = {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}

$n(S)=16$

Possibilities of getting the same number of heads and tails.

A = {HHTT, HTHT, HTTH, THHT, THTH, TTHH} = 6

$n(A)=6$

The probability of getting the same number of heads and tails is

$P=\frac{n(A)}{n(S)}$

$P=\frac{6}{16}=\frac{3}{8}$

Therefore the correct option is 3.

3.

The given expression is

$-96.43-(-98.67)$

$-96.43+98.67$

$2.24$

Therefore the correct option is 3.

4.

The given expression is

$(-10.2)(-16.4)$

Step 1: (–10.2)(–16.4) = (–16.4)(–10.2)

Step 2: = (–16.4)(–10) + (–16.4)(–0.2)

Step 3: = 164 + 3.28

Step 4: = 167.28

Therefore the correct option is 4.