Answer:
The shortest side will be 198.82 cm (1.98 m) long
Step-by-step explanation:
This problem can be solved using proportions.
First we have that:
Shortest side in scale drawing = 4 cm
Longest side in scale drawing = 34 cm
Shortest side in actual piece = x cm
Longest side in actual piece = 16.9 m, but we know that 1 meter = 100 cm, therefore 16.9 meters would be 16.9 x 100 = 1690 cms.
Now we write down the proportion and solve for x
Therefore, the shortest side of piece will be 198.82 cm. (or 1.98 meters long)
Answer:
7.5 kg
Step-by-step explanation:
Ratio of sand to cement = 24kg : 5kg
Today he needs to make the same type of mortar mix, but he will use 36kg of sand.
Let
x = quantity of cement used
Ratio of sand to cement = 36 kg : x kg
Equate both ratios
24 kg : 5 kg = 36 kg : x kg
24/5 = 36/x
Cross product
24 * x = 5 * 36
24x = 180
x = 180/24
x = 7.5
x = quantity of cement used = 7.5 kg
Answer:
(6,20) because both lines pass through this point
Step-by-step explanation:
To solve this you can use the substitution method.
Since both of them are equal to y, substitute one of the equations for y, that way you have x+14 = 3x+2. From here you continue to simplify.
Eliminate x from either side of the equation. For example, subtract x from the side that says "x+14". (Make sure you are also subtracting it from the other side of the equal sign as well.
Once you do this you should now have 14 = 2x+2
In order continue, you now have to get x by itself. So now subtract 2 from both sides of the equation. After doing this, you should have 12 = 2x
You then simplify x by dividing both sides by 2. This will get you x = 6
Now that you have the x-value, substitute that into either of the two equations (it is recommended you substitute it into both equations to make sure you have the correct x-value). For example: If I substitute x into Line C's equation, I will now have y = 6 + 14.
6 + 14 is 20, therefore you're y-value is y = 20
Answer:
Step-by-step explanation:
b² - 4b - 12 = b² - 6b + 2b - 2*6
=b*(b -6) + 2*(b - 6)
= (b - 6) (b + 2)
b² - 4b - 12 = 0
(b - 6) (b + 2) = 0
b - 6 = 0 or b + 2 = 0
b = 6 or b = -2
