Answer:
x = 23 degrees
Step-by-step explanation:
Supplementary angles add up to 180 degrees. Thus, 3x - 17 degrees plus al 5x + 21 deg must equal 180 degrees.
Combining like terms, we get 8x - 4 = 180, or 8x = 184.
Dividing both sides by 8 yields x = 184/8 = 23 = x (measured in degrees)
Let a = cost of an apple and p = cost of a peach
From the two statements we can create the following system of equations:
2a + 3p = 1.65
3a + 2p = 1.60
Since we want to know the cost of a peach, let's eliminate the "a" terms by creating opposites. The LCM for 2 and 3 is 6 so I will multiply the top equation by 3 and the bottom equation by -2. This will create opposites to cancel "a" terms.
3(2a + 3p = 1.65) → 6a + 9p = 4.95
-2(3a + 2p = 1.60) → -6a - 4p = -3.20
The result of adding → 5p = 1.75
The result of ÷ 5 → p = .35
This means one peach cost .35 or 35 cents
The exponential function is
f(x)=ab^x, where b is the base, the number to multiply every time x is increased by 1.
If f(x)=92, f(x+4)=280, then
f(x+4)/f(x) = 280/92 = ab^(x+4)/(ab^x) = b^4
to find the base b,
b^4=(280/92)
b=(280/92)^(1/4) ..... fourth root, or take square-root twice
=3.4035^(1/4)
=1.3208 (accurate to 4 places of decimal).
Edit: 92*1.3208^4 gives 279.9858 (missing little bit because of accuracy).
A slightly better accuracy would be
base = 1.320816698856163
and 92*1.320816698856163^4 would still be 279.9999999999993, but VERY close to 280.
So it all depends on the accuracy you need.
If you need more accuracy, please tell me how many accurate digits you'd like the results.
Here it is:
base = 1.320816698856163713875997666455513013800337299231824403890097792042432005288739246325005446716740
and if you multiply together
92*base^4, you will get 280 accurate to at least 90 digits after the decimal.
I think that should be sufficient for what you need. Recall that these calculations cannot be done or verified on a 10 or 12 digit calculator.
Well, to please you, I have calculated it to 500 digits, don't think that's going to be of much practical use for anybody.
By the way, that's as far as I will do this evening. My eyes are almost closing!
base=1.3208166988561637138759976664555130138003372992318244038900977920424320052887392463250054467167408005624428737585147309981331510076693180633495574937759374668399829195521733208637815593771220504215429477168159456265024711237470736388371979840461777898466419772297172931568429339640964205400234392902077320257671263508487367942846685479533507498695981037274512050120058009244868634949261015429944340565311559486391625531554216085859773912355361847787636892603324966350039688974359584811585283183726532
Answer:
I can't see the pic
Step-by-step explanation:
Answer:
There would be 63 grams of protein in 9 ounces of tuna.
Step-by-step explanation:
Equivalent ratios compare two different quantities the have the same rate regardless of the amount. In this example, for every 3 ounces of tuna, there are 21 grams of protein. We can write this as a ratio of: 3/21. Like fractions, we can simplify ratios by dividing the numerator and denominator by the same greatest common factor. In this case, we would divide both the numerator and denominator by 3: (3÷3)/(21÷3) = 1/7. So, our new ratio is for every ounce of tuna, we have 7 grams of protein. Using equivalent ratios, we can set up our ratios to solve for the grams of protein in 9 ounces of tuna: 1/7 = 9/x. Since we have to multiply both the numerator and denominator by the same factor, in this case 9, then our x = 63 grams of protein.
