You are going to Europe for vacation and must exchange your money. The exchange rate of Euros to

Mathematics

1 answer:

Helen [10]3 years ago

6 0

Answer:

The exchange rate for Dollars to Euros is of 1.33.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

Exchange rate for Dollars to Euros.

We want to find the number of dollars in a euro.

In 375 euros, there are 500 dollars, so how many dollars in 1 euro?

375 euros - 500 dollars

1 euro - x dollars

Applying cross multiplication:

$375x = 500$

$x = \frac{500}{375}$

$x = 1.33$

The exchange rate for Dollars to Euros is of 1.33.

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Now evaluate. Substitute −2 for x in the composition f(g(x)) = 4x6 + 4x3 + 1, then simplify. f(g(−2)) =

Viktor [21]

F(g(-2))=4(-2)^6+4(-2)^3+1
f(g(-2))=4(64)+4(-8)+1
f(g(-2))=256-32+1
f(g(-2))=224+1
f(g(-2))=225

4 0

4 years ago

Read 2 more answers

Can someone please help with these 2 questions? It would mean the world to me. I have attached the image for the questions.

sweet [91]

Answer:

2 $\frac{1}{20}$

Step-by-step explanation:

for question a)

It would be easier if you converted these to improper fractions (currently it is in the form of a proper fraction)

to convert to improper fraction, you would multiply the denominator (bottom no. of fraction) by the whole number , then add that with the numerator (top no. of fraction) and put the whole thing over the denominator.

E.g.

7 $\frac{1}{4}$ = 7x4 + 1 = 29

Thus, improper fraction would be $\frac{29}{4}$

do same thing for other one

thus , $\frac{26}{5}$

now,

$\frac{29}{4}$ - $\frac{26}{5}$

however, you can't do this as the denominators are not the same, so multiply them by a number which would give the a common denominator (20 would be the best option for common denominator)

$\frac{145}{20} -\frac{104}{20}$ = $\frac{41}{20}$