Answer:
Lucas needs 12 cups of dried cherries and 24 cups of dried apricots to make one dozen of snacks for his team
Step-by-step explanation:
For each snacks Lucas uses one cup of dried cherries and 2 cup of dried apricots. One dozen of snack contains a total of 12 snacks. Therefore to prepare 12 snacks (one dozen) the number of dried cherries and dried apricots can be gotten by multiplying the number of dried cherries and dried apricots required for each snack by 12.
Number of dried cherries = 1 cup for each snack × 12 snacks = 12 cups
Number of dried apricots = 2 cup for each snack × 12 snacks = 24 cups
Lucas needs 12 cups of dried cherries and 24 cups of dried apricots to make one dozen of snacks for his team
Domain is 1 to 6 and length of 5
Because it comes from the x values
Answer: 10 < x < 60, or x is from 10 to 60
Step-by-step explanation: A domain of a graph consists of all of the input values shown on the x-axis while the range consists of all of the output values shown on the y-axis. Since the question asks to find the domain, you should look at the values of the graph from left to right. The domain includes all real numbers. Notice the black horizontal line on the graph and match up the beginning of it and the end of it with the values on the x-axis. The line begins at an x-value of 10 and ends at an x-value of 60; therefore, the domain (x-values) is from 10 to 60.
1) given 6x = 4x + 140
2) subtract 4x from both sides => 6x - 4x = 4x - 4x + 140
=> 2x = 140
3) divide both members by 2 => 2x / 2 = 140 / 2
=> x = 70
4) Answer: x = 70
The rules of exponents tell you to add exponents in the numerator and subtract those in the denominator. A power of a power causes the exponent to be multiplied.
