Answer:
Step-by-step explanation:
Let
x ----> the measure of one angle of the triangle
y ---> the measure of the smallest angle
z ----> the measure of the third angle
we know that
The sum of the measure of the interior angles in any triangle must be equal to 180 degrees
-----> equation A
one angle is 130 degrees more than the smallest angle
----> equation B
the third angle is 3 times as large as the smallest angle
---> equation C
substitute equation B and equation C in equation A
solve for y
Find the value of x
Find the value of z
therefore
If it self explanatory... just divide the sum of total price by the Size of the item that’s all.. and they are saying the unit should be the same.. and the units too are given so.. you will convert.. then bear in mind that .99 is the same as 0.99 they use it to confused others.. so sum the total price and divide by the Size but let the units be the same... the conversion is given under it
Answer:
B
Step-by-step explanation:
4 times 5 = 20
-2 times 1 = -2
20 - -2 = 18
Answer:
- 13 3/4 gallons of 60% solution
- 41 1/4 gallons of 80% solution
Step-by-step explanation:
I like to use the simple device shown in the attachment to work mixture problems. The source concentrations are listed on the left, and the desired mix concentration is shown in the middle. Differences are taken along the diagonals. Here, those differences are 15 and 5, representing the 3:1 ratio of solutions that is needed in the mix.
That is, 3/4 of the mix will be the 80% solution, and 1/4 of the mix will be the 60% solution. All that remains is to compute the corresponding number of gallons:
60% concentration needed = (1/4) × (55 gal) = 13 3/4 gal
80% concentration needed = (3/4) × (55 gal) = 41 1/4 gal
_____
If you write an equation to find the amount of solution needed, it is convenient to let the variable represent the amount of the higher-concentration solution. This has the effect of keeping the numbers positive as you solve the equation. Here, let x represent gallons of 80% solution, and (55-x) will be the gallons of 60% solution. Then the amount of material in the mix is ...
0.80x + 0.60(55 -x) = 0.75·55
0.20x + 33 = 41.25 . . . . . simplify
0.20x = 8.25 . . . . . . . . . . subtract 33
8.25/0.20 = x = 41.25 . . . divide by the coefficient of x
55-x = 55 -41.25 = 13.75 . . . gallons of 60% concentration
41.25 gallons of 80% concentration are needed, and 13.75 gallons of 60% concentration are needed.
Answer:
an amount of space between two things or people.
Step-by-step explanation: