Answer:
1: 71 pounds
2: 14 jellybeans
Step-by-step explanation:
1:
680 - 183 = 497
497 / 7 = 71
2:
Esther had (6 times)-7
77 + 7 = 84
84 / 6 = 14
Answer:
D. y = 4x − 3
Step-by-step explanation:
Just took the test and got 100%
Answer:
x = -4 y = -2(-4) - 4 = -12
x = -2 y = -2(-2) - 4 = 0
x = 0 y = -2(0) - 4 = -4
x = 2 y = -2(2) - 4 = -8
Hope this helps! ;)
Answer:
The maximum volume the cube could have is 729 cubic inches
Step-by-step explanation:
The total surface area of the cube equals the total area of material used.
Let A = total surface area of cube = 6L² where L = length of side of cube
Since A = total area of material used, A = 486 in²
So 486 in² = 6L²
L = √(486 in²/6)
= √81 in²
= 9 in
The volume of the cube V = L³ where L = length of side of cube
So, V = (9 in)³
= 729 in³
So the maximum volume the cube could have is 729 cubic inches.
Part A
4 < 5 < 9 is given to us. Apply the square root to each term to end up with this inequality: sqrt(4) < sqrt(5) < sqrt(9)
So sqrt(5) is between <u>sqrt(4)</u> and <u>sqrt(9)</u>
-------------------
Part B
Simplify those two mentioned square roots
sqrt(4) = sqrt(2^2) = 2
sqrt(9) = sqrt(3^2) = 3
Therefore, sqrt(5) is also between <u>2</u> and <u>3</u>
We can see this through using a calculator: sqrt(5) = 2.23607 approximately
-----------------
Part C
We can now say:
2 < sqrt(5) < 3
Multiply all three sides by 6
6*2 < 6*sqrt(5) < 6*3
So the expression 6*sqrt(5) is between <u>6 x 2</u> and <u>6 x 3</u>
Sure enough, a calculator confirms this
6*sqrt(5) = 13.416408
since 6*2 = 12 and 6*3 = 18. We see that 13.416 is between 12 and 18.