I hope this picture helps you!
Answer:
-2 > k > -7
Step-by-step explanation:
what you do to one section, you have to do to all
-5 < -5k - 15 < 20
add 15 to each part
10 < -5k < 35
divide by -5 (when you divide by a negative, it flips the inequality signs!)
-2 > k > -7
Answer:
48+12b≥185
Step-by-step explanation:
Inequality: 48+12b≥185
Why? she has already backed 48 cookies so you just need to find how many more she needs to bake. (she doesn't need 185 cookies anymore since she's already baked 48)
You don' t need to solve the question,
But here is how you do...
12b≥137
b≥11.42 (roughly)
Step 1. Type it into a Google search box or calculator. (You need to use a calculator anyway.) The result is
3177 4/9.
If you're doing this according to the Order of Operations, you do the multiplication and division left to right. This means the first calculation you do is
255/6 = 42.5
Next, you multiply by 672
42.5*672 = 28560
Then divide by 9
28560/9 = 3173 3/9
You continue by doing the division
37/9 = 4 1/9
And finish by adding the two results
3173 3/9 + 4 1/9 =
3174 4/9_____
If you're doing this by hand, you can recognize the first term as the product of two fractions, so is the product of numerators divided by the product of denominators.
(255*672)/(6*9)
Using your knowledge of divisibility rules, you can do the division 672/6 to simplify this to
(255*112)/9
Now, the first term and the second term have the same denominator, so you can add the numerators before you do the division.
(255*112 + 37)/9 = (28560 + 37)/9 = 28597/9
You end up having to do only two simple divisions, rather than 3 of them.
28597/9 = 3177 4/9