Answer:
3cm x 7cm x 3cm = 63 cm^3
Step-by-step explanation:
Answer:
The constant of proportionality between the actual dimensions of the pavers and the model is 9.
The proportionality constant for the area is 81.
Step-by-step explanation:
To solve this problem, let's transform all quantities to the same units (inches)
The actual dimensions of the pavers are:
Then we divide the real dimensions between those of the model:
Width:
Long =
Then, the constant of proportionality between the actual dimensions of the pavers and the model is 9.
Actual length = model length * (9)
The "A" area of a paver is the product of its width multiplied by its length.
So:
(real width) * (real length) = ((9) Model width) * ((9) model length)
(real width) * (real length) = 
* (Model width) * (model length)
(real area) = 81 * (Model area)
The proportionality constant for the area is 81.
Monday= 4 hours
Tuesday= 6 hours
Wednesday= 5 hours
Thursday= 5 hours
Friday=7 hours
Total hours= 4+6+5+5+7= 27 hours
Gross pay= 27*$9.75= $263.25
Answer:
The second option
Step-by-step explanation:
For this problem, there are multiple ways to solve. The easiest here is the cross method. For ax²+bx+c, you find 2 numbers that multiply to ac and add to b, which you replace b with.
ac in this case is -8×3, which is -24. b in this case is 23.
You can go through the factor pairs of -24 to find the ones that add to b. These pairs are (1 and -24, -1 and 24, 2 and -12, -2 and 12, 3 and -8, -3 and 8, 4 and -6, -4 and 6). The only pair that adds to 23 is 24 and -1.
You sub this into the original equation, making 3x²+24x-x-8.
From there, you factorise, making 3x(x+8)-x(x+8).
This can be factorised further to (3x-x)(x+8) by collecting like terms.
**This question involves factorising quadratics, which you may wish to revise. I'm always happy to help!
Given:
Tom's earnings: x
Jan's earnings: 2x - 150
Total earnings: 1380
x + 2x - 150 = 1380
3x = 1380 + 150
3x = 1530
3x/3 = 1530/3
x = 510
Tom's earnings: x = 510
Jan's earnings: 2x - 150 = 2(510) - 150 = 1,020 - 150 = 870
total earnings: 1,380
510 + 870 = 1,380
1,380 = 1,380
