Answer:
- 5/4: Englargement
3/8: Reduction
- 1.2: Englargement
.5: Reduction
Step-by-step explanation:
Any number from 1 up is an enlargement. Any number from 0 - 0.9 is a reduction. The same goes for negatives. Any number from -1 down is an enlargement. Any number from 0 - -0.9 is a reduction.
ten more than 32% of a number is 26 : 0.32 +10 =26
Answer:
Step-by-step explanation:
The worth of the card =$75
The value of the card decreases after each music purchase forming a sequence:
75,74.11,73.22,72.33...
Now,
- 74.11-75=-0.89
- 73.22-74.11=-0.89
- 72.33-73.22=-0.89
We see that the sequence forms an arithmetic sequence:
Where the first term, a is 75
Common difference, d=-0.89
We want to write an equation to define A(n), the amount of money on the gift card after n song purchases.
For an arithmetic sequence,the nth term A(n)=a+(n-1)d
Therefore:
The amount of money on the gift card after n song purchases.
A(n)=75-0.89(n-1)
A(n)=75+0.89-0.89n
A(n)=75.89-0.89n
To find out how many songs can Josh purchase with this card only, we take our nth term A(n) of the sequence to be 0 and solve for n.
A(n)=75.89-0.89n
0=75.89-0.89n
0.89n=75.89
Divide both sides by 0.89
n=85.3
n=85
Therefore, Josh can purchase 85 songs with this card only
Km, kilometer
Hm, hectometer
Dam, decameter
M, meter
Dm, decimeter
Cm, centimeter
Mm, millimeter
To determine the new amount you need to find out what 2/3 of 4 1/2 is equal to. What you see "of" in an algebraic expression or equation, replace it with (×).
2/3 of 4 1/2 =
2/3 × 4 1/2 =
Convert 4 1/2 to an improper fraction.
2/3 × 9/2 =
Now multiply and reduce
18/6 = 3
The new amount of dog food is 3 cups.
