Answer:
The weights of each cylinder and prism are 3 and 4 ounces, respectively.
Step-by-step explanation:
Let be
and
the masses of a cylinder and a prism, measured in ounces, respectively. After a careful reading of the statement we get the following linear equations by interpretation:
i) <em>She found that 4 cylinders and 5 prisms weigh 32 ounces:</em>
(Eq. 1)
ii) <em>And that 1 cylinder and 8 prisms weigh 35 ounces:</em>
(Eq. 2)
Now we solve the system of linear equations algebraically:
From (Eq. 2):

(Eq. 2) is (Eq. 1):





From (Eq. 2):



The weights of each cylinder and prism are 3 and 4 ounces, respectively.
Answer:
you use the pythagorean theorem
Step-by-step explanation:
P.S. im not doing your hw
Answer:
The total population of these two states is:

Therefore, option C is correct.
Step-by-step explanation:
- The population of California is approximately 38,040,000.
- The population of Texas is about 2.606 × 10⁷.
Writing the population of California i.e.38,040,000 in scientific notation by moving the decimal point 7 places to the left and dropping the 0's on the right side as they're after the decimal point now.
i.e.
38,040,000 = 3.804 x 10⁷
So adding 3.804 x 10⁷ and 2.606 × 10⁷
i.e.


Thus, the total population of these two states is:

Therefore, option C is correct.
Answer: 348.8 miles on 16 gallons of gas
Step-by-step explanation:
Make the following proportion:
= 
Since the car consumes gas at the same rate and only the amount of gas is changed, these two fractions must be equivalent. If the rate at which the car consumes gas changes, it would be different.
Use basic algebraic skills and you should get 348.8 miles.