Answer:
Christina has 30 quarters and 20 dimes.
Step-by-step explanation:
Given that a quarter is worth 0.25 dollars and a dime is worth 0.10 dollars, if Christina has 50 coins and these add up to a total of $ 9.50, to determine the number of quarters and dimes that she has in her possession, the following calculation must be carried out, taking into account that the difference between a quarter and a dime is 0.15 dollars:
50 x 0.25 = 12.5
12.5 - 9.5 = 3
Thus, the difference between the value that Christina has and the value that she would have if all of her coins were quarters is 3 dollars. Thus, since 0.15 x 20 equals 3, of the 50 coins Christina has, 30 are quarters and 20 are dimes.
This is confirmed through the following equation:
30 x 0.25 + 20 x 0.1 = X
7.5 + 2 = X
9.5 = X
Answer:
One train weighs 30 tons and another train weighs 99 tons.
Step-by-step explanation:
30+99 adds up to 129
Step-by-step explanation:
I guess the "roof" is the same height front and back, and the triangles go up in the same plane as the wall rectangles.
this object consists of 2 major parts :
1. the rectangular block or prism at the bottom
2. the triangular prism being put across (laying on its side) the top of the block.
at the end we need to add both volumes, and that is the result.
all regular (right) 3D objects have the same basic volume calculation :
based area × height
the volume of a rectangular block or prism is therefore just easily
length × width × height
nothing special.
so, in our case
14×9×8 = 1008 in³
the volume of a triangular prism is then
baseline × triangle height / 2 × prism height
in our case that is
14×5/2 × 9 = 7×5 × 9 = 315 in³
in total the volume of the whole object is
1008 + 315 = 1323 in³
Answer:
no solution
Step-by-step explanation:
Answer:
X = 81
Missing angle measurement = 73 Degrees
Step-by-step explanation:
Sense the angle presented is a strait angle, meaning it has an exact mesurment of 180°
You can take the known portion of 107° and subtract that from 180°, giving you 73°
To find X you take the missing angle's value and add 8, leaving you with 81
