Answer:
a) $ 22x -9
b) 44x - 18
c) $319
Step-by-step explanation:
Given that,
number of $1 bills wyatt has = (2x-1)
number of $5 bills wyatt has = (4x + 2)
The total amount of money that Wyatt has in terms of x
(2x - 1) + 5(4x + 2)
= 2x - 1 + 20x + 10
= $ 22x -9
The number of pens that Wyatt can buy if each pen costs 50 cents
$(22x - 9) * 100
= 2200x - 900 cents / 50
= 44x - 18
If x = 21, amount of money Susan will have now if Wyatt gives her half the number of five dollar bills that he has
( 5 (4x + 2) / 2) + ( 2 (21) - 1)
= 215 + 41
= 256
As we know that Susan has $3x more than Wyatt
So,
256 + 3x
= 256 + 3(21)
= $319
Answer:
8.0
Step-by-step explanation:
Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Step-by-step explanation:
step 1
Find the length side c
Applying the Pythagoras Theorem
substitute the given values
step 2
Fin the measure of angle B
we know that
In the right triangle
substitute the given values
step 3
Find the measure of angle A
we know that
The measure of interior angles in a triangle must be equal to 180 degrees
so
∠A+∠B+∠C=180°
Remember that in a right triangle the measure of angle C is 90 degrees
we have
substitute
Answer:
1) 8 : 343
2) 42.875 or 42 ⅞
3) 4 : 49
4) 16ft²
Step-by-step explanation:
Volume of cube: s³
Surface area of cube: 6s²
_____________________
32ft^3 and 1372ft^3 →
32 : 1372 = 8 : 343
343 / 8 = 42 ⅞ = 42.875
s³ → 6s²
s³ = 8, s = 2, s² = 4.
s³ = 343, s = 7, s² = 49.
These are proportional so it is already in the simplest ratio so it is not necessary to multiply by 6.
s³ → 8 : 343
6s² → 4 : 49
(4 / 49) × 196ft² = 16ft²
Answer:
Step-by-step explanation:
the current ages:
father= 32 yrs old
son=5 yrs old
-------
4(5+x) = 32+x
20+4x = 32+x
4x-x = 32–20
3x =12
x = 12/3
x = 4 years
------------------------------------
after the 4 years later the farther age will be 36 ( 32+4 = 36)
the son will be 9 ( 5+4= 9 years)
the x presents how the father will be after 4 times the age of the son
