Can anybody help me with this question?

Mathematics

1 answer:

Bogdan [553]3 years ago

6 0

For number 16 we need to write the data as a ratio then convert to a unit rate (amount per 1)...

308/14 = x/1

Cross multiply

14x = 308
x = 308/14
x = 22

So the fuel efficiency is
22 miles per 1 gallon or

22/1

For number 17, since the car was driven at 48 mph, we just have to divide distance driven by speed to get how long it took...

288 miles ÷ 48 mph =

6 hours

You might be interested in

S'il vous plaît aider moi pour ce problème c'est pour demain. Merci.

Vedmedyk [2.9K]

Je ne parle le Français très bonne, mais je te vais aider. Le total est 40kg et la valise pèse 20kg donc 40-20=20. La réponse est 20kg.

3 0

3 years ago

Can someone please write this as a single logarithm and show work please and thank you

Mazyrski [523]

Answer:

$log_b(w^3y^4)$

Step-by-step explanation:

To write the expression as a single logarithm, or condense it, use the properties of logarithms.

1) The power property of logarithms states that $log_ax^r = rlog_ax$ . In other words, the exponent within a logarithm can be brought out in front so it's multiplied by the logarithm. This means that the number in front of the logarithm can also be brought inside the logarithm as an exponent.

So, in this case, we can move the 3 and the 4 inside the logarithms as exponents. Apply this property as seen below:

$3log_bw+4log_by\\=log_bw^3+log_by^4$

2) The product property of logarithms states that $log_axy = log_ax+log_ay$ . In other words, the logarithm of a product is equal to the sum of the logarithms of its factors. So, in this case, write the expression as a single logarithm by taking the log (keep the same base) of the product of $w^3$ and $y^4$ . Apply the property as seen below and find the final answer.