Answer:
1.)
2.)
3.) 1
4.)
5.)
6.)
Step-by-step explanation:
The 2 steps for all of these is to get common denominators and then add and simplify.
1.) 3/4 + 1/2 (common denominator) 3/4 + 2/4 = 5/4
2.) 5/6 + 1/2 (common denominator) 5/6 + 3/6 = 4/3
3.) 3/6 + 1/2 (common denominator) 3/6 + 3/6 = 6/6 (simplify) = 1
4.) 1/6 + 4/8 (common denominator) 8/48 + 24/48 = 32/48 (simplify) = 2/3
5.) 7/8 + 1/4 (common denominator) 7/8 + 2/8 = 9/8
6.) 3/8 + 1/2 (common denominator) 3/8 + 4/8 = 7/8
Answer:
15 cm
Step-by-step explanation:
Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.
A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:
.
To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.
Answer: 1 dozen cupcakes can be made in 12 cups of flour.
Step-by-step explanation:
Given : The amount of flour a baker has =
The number of cupcakes he made by using all flour =
i.e. cupcakes made in
cups of flour
By unitary method ,
1 cupcake made in cups of flour.
i.e. 1 cupcake made in cups of flour.
Then , 12 cupcakes can be made in cups of flour.
= 27 cups of flour.
Since<em> 1 dozen = 12</em>
Then , 1 dozen cupcakes can be made in 12 cups of flour.