Answer:
18 and 72
Step-by-step explanation:
the smaller part can be assigned as x while the larger will be 4x. Both numbers need to add up to 90, giving the equation: 4x+x = 90
Solve:
4x+x = 90
5x = 90
x = 18
4x = 72
First, move the decimal place from the 22% so it would be .22 multiply that by 4,000 that would be 880 add that to 4,000 so 4,880 50% of that would be .50x4880= 2440 subtract that from 4,880 so 4,880-2,440=2,440
In November they sold 4,000
In December they sold 4,880
In January they sold 2,440
add these together and in the 3 months the company sold 11,320 cell phones. :)
The value of x is 28
Solution:
The approximate image of the question is attached below.
Given data:
The angles of the triangle are x°, (2x + 5)° and (3x + 7)°.
By triangle sum theorem,
<em>Sum of all the angles of the triangle = 180°</em>
x° + (2x + 5)° + (3x + 7)° = 180°
x° + 2x° + 5° + 3x° + 7° = 180°
6x° + 12° = 180°
Subtract 12° from both sides of the equation, we get
6x° = 168°
Divide by 6° on both sides of the equation, we get
x° = 28°
x = 28
The value of x is 28.
10 pounds of candy costing $1.20 per pounds must be mixed with 40 pounds of candy costing $ 0.95 per pound to obtain a 50 pounds of candy costing $ 1 per pound
<em><u>Solution:</u></em>
Let "x" be the pounds of candy at $ 1.20 per pound
Then (50 - x) is the pounds of candy at $ 0.95 per pound ( since 95 cents is equal to 0.95 pound)
Therefore, x pounds of candy costing $1.20 per pounds must be mixed with (50 - x) pounds of candy costing $ 0.95 per pound to obtain a 50 pounds of candy costing $ 1 per pound
Then the equation becomes,
1.20x + (50 - x)0.95 = 50 x 1
On expanding we get,
1.20x + 47.5 - 0.95x = 50
0.25x = 50 - 47.5
0.25x = 2.5
x = 10
Then (50 - x) = 50 - 10 = 40
So we need 10 pounds of candy worth $ 1.20 per pound and 40 pounds of candy worth $ 0.95 to obtain 50 pounds of candy worth a dollar a pound
