Answer:
a
Step-by-step explanation:
add and the take the parathesis out and there you have ur answer
<h3><u>Given</u><u>:</u><u>-</u></h3>
- Perimeter of parallelogram = 66 ft
<h3><u>To</u><u> </u><u>find</u><u> </u><u>out</u><u>:</u><u>-</u></h3>
Find the longest side of a parallelogram.
<h3><u>Formula</u><u> </u><u>used</u><u>:</u><u>-</u></h3>
Perimeter of parallelogram = 2 ( a + b )
<h3>
<u>Solution:-</u><u> </u></h3>
We know that,
Perimeter of parallelogram = 2 ( a + b )
★ Substituting the values in the above formula,we get:
⇒ 66 = 2 ( 3x + 1 + 2x - 3 )
⇒ 66 = 2 ( 5x - 2 )
⇒ 66/2 = 5x - 2
⇒ 33 = 5x - 2
⇒ 5x - 2 = 33
⇒ 5x = 33 + 2
⇒ 5x = 35
⇒ x = 35/5
⇒ x = 7 ft
Now,
One side,a = 3x + 1
★ Putting the value of x
⇒ 3 × 7 + 1
⇒ 21 + 1
⇒ 22 ft
Other side,b = 2x - 3
★ Putting the value of x
⇒ 2 × 7 - 3
⇒ 14 - 3
⇒ 11 ft
Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .
Answer:
flour $42 , bag of sugar $58
Step-by-step explanation:
let f represent flour and s represent sugar, then
7f + 5s = 584 → (1)
5f + 3s = 384 → (2)
Multiplying (1) by 3 and (2) by - 5 and adding will eliminate s
21f + 15s = 1752 → (3)
- 25f - 15s = - 1920 → (4)
Add (3) and (4) term by term to eliminate s , that is
- 4f = - 168 ( divide both sides by - 4 )
f = 42
Substitute f = 42 into either of the 2 equations and solve for s
Substituting into (1)
7(42) + 5s = 584
294 + 5s = 584 ( subtract 294 from both sides )
5s = 290 ( divide both sides by 5 )
s = 58
The cost of a bag of flour is $42 and cost of sugar is $58
Answer:
thirty-six inches
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
Solution:-
- The effect of an outlier on the mean, median and range is to be investigated.
- Mean: It is the average of all the values. If the outlier "22" is lies on the upper spectrum of the center value. If the outlier is removed the value of center or mean will decrease.
- Median: The median value is mostly defined as the value around which their is a cluster of data. The value of the outlier "22" if close to that cluster of data points is omitted there will be small deviation in the value of median. If the value of the outlier "22" if far away to that cluster of data points is omitted there will be significant deviation in the value of median.
- Range: Is defined by the uppermost and lowermost value from a set of data points that is considered. The value of outlier will equally effect either of these limits depending where the outlier lies close to upper limit or lower limit of the range.
