Answer:
40:16, 16:40, 40/16, 16/40
Step-by-step explanation:
step 1: given= 6*0=0
step 2: Use the distributive property
step 3: Substitute
step 4: -
step 5: Subtract 60 from both sides
step 5: simplify
Answer:
![\textbf{$x \in (-\infty, 3] $}\\](https://tex.z-dn.net/?f=%5Ctextbf%7B%24x%20%5Cin%20%28-%5Cinfty%2C%203%5D%20%24%7D%5C%5C)
Step-by-step explanation:
![\textup{Given:}\\$ 4x + 6 $\textup{Subtracting $6$ from both the sides }\\$ 4x \leq 18 - 6 \hspace{5mm} (=12) $\\\textup{Dividing by $4$ on both the sides: \hspace{15mm} [Note that the sign of the inequality changes only when we divide it by a negative number]}\\$$ x \leq 3 $$\\\textup{$x$ can be any real number less than or equal to 3.}\\$ \iff x \in R^- \cup \{a : 0 \leq a \leq 3\} $](https://tex.z-dn.net/?f=%5Ctextup%7BGiven%3A%7D%5C%5C%24%204x%20%2B%206%20%24%5Ctextup%7BSubtracting%20%246%24%20from%20both%20the%20sides%20%7D%5C%5C%24%204x%20%5Cleq%2018%20-%206%20%5Chspace%7B5mm%7D%20%28%3D12%29%20%24%5C%5C%5Ctextup%7BDividing%20by%20%244%24%20on%20both%20the%20sides%3A%20%5Chspace%7B15mm%7D%20%5BNote%20that%20the%20sign%20of%20the%20inequality%20changes%20only%20when%20we%20divide%20it%20by%20a%20negative%20number%5D%7D%5C%5C%24%24%20x%20%5Cleq%203%20%24%24%5C%5C%5Ctextup%7B%24x%24%20can%20be%20any%20real%20number%20less%20than%20or%20equal%20to%203.%7D%5C%5C%24%20%5Ciff%20x%20%5Cin%20R%5E-%20%5Ccup%20%5C%7Ba%20%3A%200%20%5Cleq%20a%20%5Cleq%203%5C%7D%20%24)
You have to make a proportion:
12+x/8=8/x
Then cross multiply to solve for x
Answer:
477.47 revolutions
Step-by-step explanation:
From the information given:
The formula for calculating the circumference = 2π r
Given that the radius of each wheel = 25 centimeter
Then, the circumference = 2 π (25)
= 50π cm
The distance traveled in 5 minutes is as follows:
Given that:
The speed = 45 km/ hour
i.e.
1 hour = 45 km
In an hour, we have 60 minutes
So, 60 minutes = 45 km
1 minute = 45/60 = 0.75 km
To cm;
0.75 km = (0.75 × 1000) m = 750 m
750 m = 750 × 100 = 75,000 cm
∴
The number of revolution in 5 minutes sInce 1 revolution = 50π cm is:
= 75,000 cm/ 50π cm
= 477.47 revolutions in 5 minutes
