Answer:
Step-by-step explanation:
I find it easiest to solve these using the variable to represent the number of the most-expensive item. Let x represent the number of 33-cent stamps. Then the total value (in cents) is ...
33x +24(30 -x) = 891
9x = 171 . . . . . . . . . . . . . subtract 24(30), collect terms
x = 19 . . . . . . . . . . . . divide by 9
30-x = 11 . . . . . . . find the number of 24-cent stamps
Mr. Akika had 11 24-cent stamps and 19 33-cent stamps.
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<em>Additional comment</em>
You seem to have several of these to solve. They all have a similar solution.
If we let x represent the number of higher-value items, N, the total number of items, V the total value, and v1 and v2 the individual values (v2 > v1), the equation is ...
v2(x) +v1(N -x) = V
x(v2 -v1) = V -v1·N
x = (V -v1·N)/(v2 -v1) . . . . generic solution
Using this formula in the problem here, we find ...
x = (891 -24(30))/(33 -24) = 171/9 = 19 . . . as above
You use y=mx+b... idk if that helped or not :)
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The absolute value is always positive, so the numbers would be 4 and 4.
Those are two equal numbers so it is: equal to
Hope this helps.
Answer:
Naomi had the correct measurement the ring weighed 0.625 carats
Step-by-step explanation:
* The diamond ring weighed 5/8 carats
- To know who is right lets change the fraction 5/8 to a decimal number
∵ 5/8 means 5 ÷ 8
- 5 is smaller than 8 so we will multiply it by 10 and
insert decimal point in the quotient (answer of division)
∴ It will be 50 ÷ 8 = 6 and remainder 2/8 ⇒ 1/4
∴ The quotient = 0.6 and remainder 1/4
- 1 is smaller than 4 so we will multiply it by 10
∴ It will be 10 ÷ 4 = 2 and remainder 2/4 ⇒ 1/2
∴ The quotient = 0.62 and remainder 1/2
- 1 is smaller than 2 so we will multiply it by 10
∴ It will be 10 ÷ 2 = 5 without remainder
∴ The quotient = 0.625
* Naomi had the correct measurement the ring weighed 0.625 carats
