A yard is equal in length to three feet. The function f(x) takes a measurement in yards (as input) and returns a measurement in feet (as output).
Answers
Answer: Choice A
36.6
====================================
Work Shown:
f(x) = 3x
f(12.2) = 3*12.2
f(12.2) = 36.6
x is the length in yards, and f(x) is the length in feet.
12.2 yards = 36.6 feet
To convert from yards to feet, we multiply by 3. That explains how
- 1 yard = 3 feet
- 2 yards = 6 feet
as shown in the screenshot.
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What can be concluded if angle 1 =angle7
Is 6/8 greater than 6/7
Answers
Answer:
Astrid needs 280 tons of wood to build ships that can accommodate 2100 sailors
Step-by-step explanation:
Here, in this question, we want to know the amount of wood needed by Astrid to accommodate 2100 sailors.
From the question, we can see that 40 tons are needed to build a ship that can accommodate 300 sailors.
Now, we want to make a calculation for the amount of wood needed for 2100 sailors.
Let’s have it this way;
40 tons = 300 sailors
x tons = 2100 sailors
So mathematically,
x * 300 = 2100 * 40
x = (2100 * 40)/300
x = 280 tons of wood
We can see that 280 tons of wood are needed to build ships that can accommodate 2100 sailors
Answer:
280 tons of wood
Step-by-step explanation:
Khan
Answers
Answer:3
Step-by-step explanation:
-9x+4=-8-5x
-4x+4=-8
-4x=-12
x=3
Answer:
Step-by-step explanation:
Add 5x so -9x+5x becomes -4x+4=-8 then subtract -4 and then -4+-8 becomes -12 and then solve for x which is -12/-4 which is 3.
Answers
Answer:
60 miles
Step-by-step explanation:
24 miles ÷ 2= 12
2 hours ÷ 2 =1
12 miles in 1 hour
1 hour × 5 = 5 hours
12 miles × 5 = 60 miles
60 miles in 5 hours
Answers
Answer: 1 and 4/9
Explanation: To write 13/9 as a mixed number, we divide 9 into 13.
9 divides into 13 once so we put a 1 above the 3.
1 x 9 is 9 and 13 - 9 is 4.
So 9 divides into 13 one time with a remainder of 4.
This means that 13/9 can be rewritten as the mixed number 1 and 4/9.
Answers
2x-4y=2
-2x+3y=0
-------------------- (+)
3y-4y=2
-y=2 /*(-1)
y=-2
2x-4y=2
2x-4*(-2)=2
2x+8=2 /-8
2x=-6
x=-3
7^x=13
Answers
Explanation:
Really what you're looking for is a value of x that, when 7 is raised to that power, will give you 13.
putting the equation in terms of f and g (any variables will do) :
7^x = f(x)
13= g(x)
using the rule if f(x)=g(x) then ln f(x) = ln g(x)
If any function f of x equals g of x then the natural log of f of x equals the natural log of g of x.
Therefore:
ln (7^x) = ln (13)
With logs, if there is something raised a power, the exponent can simply be moved to the front, so:
ln (7^x) = x * ln 7
note: *=multiplication
therefore your new equation is
x*ln 7 = ln 13
if you divide both sides by ln 7, you get that
x = 1.318123223
but you only need four sig figs (significant figures) so your answer is
x = 1.318
*Note = the answer is 1.318 only because those are the first four digits of the answer. I suggest looking up rules for sig figs if you do not know what they already are
HOPE THAT HELPS
_V :)