Answer:
its teaspoons
Step-by-step explanation:
5in : 200mi
7in : xmi
One inch represents 40 miles.
7 * 40 miles = 280 miles.
The two cities are 280 miles apart.
postive or greater6 7 8 9 10
negative or less 4 3 2 1 0
We can use elimination for these set of systems.
First, we need to set up our variables.
Belts=b
Hats=h
Now, the situation is 6 belts and 8 hats for $140. The situation after is 9 belts and 6 hats for $132.
Let’s set up our system of equations.
6b+8h=140
9b+6h=132
We need to eliminate a variable. Since b has coefficients of 6 and 9, we can easily eliminate b by multiplying the top equation by 3 and the bottom by -2.
18b+24h=420
-18b-12h=-264
Now let’s add.
12h=156
Let’s divide to get h by itself.
156/12=13=h
So a hat costs $13. We need to put in 13 for one of the equations so we can find the cost of a belt.
9b+6(13)=132
9b+78=132
We need b by itself.
9b=54
54/9=6
Belts are $6
We can also use the first equation to check our answers.
6(6)+8(13)
36+104
140.
So, the price of a belt is $6 while the price of a hat is $13.
Answer:
Step-by-step explanation:
Let's say we wanted to find the LCM of 6 and 8.
First, write the prime factorization of both:
6 = 2×3
8 = 2³
Let's include all the exponents:
6 = 2¹×3¹
8 = 2³×3⁰
The LCM needs to have the prime factors with the highest exponents.
So we need prime factors of 2 and 3. The exponent of the 2 will be three, and the exponent of the 3 will be one.
LCM = 2³×3¹
LCM = 24
