Need help answering this math problem.

What's 147 divided by 15 3/4

Jet001 [13]

147 ÷ 15 3/4 = 9.333333333333333333 with a repetition bar over the first 3.

6 0

3 years ago

Write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.

wariber [46]

Answer:

Step-by-step explanation:

<h3>Convert kilometer to miles:</h3>

1 km = 0.62 mi

So, to convert 6 km to mi, multiply 6 by 0.62.

6km = 6* 0.62

= 3.72 mi

<h3>Convert liter to gallon:</h3>

1 L = 0.26 gal

To convert 2.5 L to gallon, multiply 2.5 by 0.26.

2.5 L = 2.5 * 0.26

= 0.65 gal

<h3>Convert pound to kilogram:</h3>

1 lb = 0.45 Kg

To convert 90 lb to Kg, multiply 90 by 0.45.

90 lb = 90 *0.45

= 40.5 Kg

3 0

2 years ago

The Sweater Shack is offering a 20% discount on sweaters. If the regular price of a sweateris $15.00, what is the discount? /The

Eva8 [605]

Answer:

Question #1 It is three dollars of so the cost is $12

Question #2 The answer is 6

Question #3 21.25

Step-by-step explanation:

4 0

3 years ago

Please answer 13 and 14

gtnhenbr [62]

Q13 is 140m

Q14 is 125m2

4 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP!!!

Scrat [10]

Question: Which equation is equivalent to $16^{2 p}=32^{p+3}?$

Option A: $8^{4 p}=8^{4 p+3}$

Option B: $8^{4 p}=8^{4 p+12}$

Option C: $2^{8 p}=2^{5 p+15}$

Option D: $2^{8 p}=2^{5 p+3}$

Answer:

Option C: $2^{8 p}=2^{5 p+15}$

Solution:

Given expression: $16^{2 p}=32^{p+3}$

Convert 16 to the base 2 and 32 to the base 2.

$(2^4)^{2 p}=(2^5)^{p+3}$

Using exponential rule: $\left(a^{b}\right)^{c}=a^{b c}$

$2^{8p}=2^{5p+15}$

Using the rule, $\text { If } d^{f(x)}=d^{g(x)}, \text { then } f(x)=g(x)$

8p = 5p + 15

3p = 15

p = 5

Substitute p = 5 in given expression, we get

$16^{10}=32^{8}\ \ \ \ \ \ \ \ \ \Rightarrow 1099511627776=1099511627776$

<u>To find the equivalent expression to the given expression:</u>

Option A: $8^{4 p}=8^{4 p+3}$

Using the rule, $\text { If } d^{f(x)}=d^{g(x)}, \text { then } f(x)=g(x)$

⇒ 4p = 4p + 3

⇒ 0p = 3

No solution for p, so it is not equivalent to the given expression.

Option B: $8^{4 p}=8^{4 p+12}$

Using the rule, $\text { If } d^{f(x)}=d^{g(x)}, \text { then } f(x)=g(x)$

⇒ 4p = 4p + 12

⇒ 0p = 12

No solution for p, so it is not equivalent to the given expression.

Option C: $2^{8 p}=2^{5 p+15}$

Using the rule, $\text { If } d^{f(x)}=d^{g(x)}, \text { then } f(x)=g(x)$

⇒ 8p = 5p + 15

⇒ 3p = 15

⇒ p = 5

Substitute p = 5 in $2^{8 p}=2^{5 p+15}$ , we get

$2^{40}=2^{40}\ \ \ \ \ \ \ \ \ \Rightarrow 1099511627776=1099511627776$

It is equivalent to the given expression.

Option D: $2^{8 p}=2^{5 p+3}$

Using the rule, $\text { If } d^{f(x)}=d^{g(x)}, \text { then } f(x)=g(x)$

⇒ 8p = 5p + 3

⇒ 3p = 3

⇒ p = 1

Substitute p = 1 in $2^{8 p}=2^{5 p+3}$ , we get

$2^{8}=2^{8}\ \ \ \ \ \ \ \ \ \Rightarrow 256=256$

It is not equivalent to the given expression.

Hence Option C is the correct answer.

5 0

3 years ago

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