Answer:
a. Short-Sleeve = 35
b. Long-Sleeve = 27
Step-by-step explanation:
Given data:
Total shirts sold = 62
short sleeved cost = 11 each
Long sleeved cost = 17 each
Total receipts = 844
<em>Let the count of short sleeved be X and Let the count of long sleeved be Y</em>
X + Y = 62 <em>(equation 1) from the total shirts sold</em>
11X + 17Y = 844 <em>(equation 2) from the total receipts</em>
<em>From equation 1</em> X = 62 - Y <em>(Equation 3)</em>
<em>Substituting equation 3 into equation 2</em>
11(62 - Y) +17Y = 844
682 -11Y + 17Y = 844
-11Y + 17Y = 844-682
6Y = 162
Therefore Y = 27
<em>Substituting Y into equation 3</em>
X = 62 - Y
X = 62 - 27
X = 35
Answer:
hey hope this helps
<h3 /><h3>Comparing sides AB and DE </h3>
AB =


DE

So DE = 2 × AB
and since the new triangle formed is similar to the original one, their side ratio will be same for all sides.
<u>scale factor</u> = AB/DE
= 2
It's been reflected across the Y-axis
<em>moved thru the translation of 3 units towards the right of positive x- axis </em>
for this let's compare the location of points B and D
For both the y coordinate is same while the x coordinate of B is 0 and that of D is 3
so the triangle has been shifted by 3 units across the positive x axis
Answer:
Using the formula:

where
A is the total amount
P is the principal
I is the Simple Interest
As per the statement:
Principal(P) = 5300 rupees.
rate of interest(r) = 6.5% = 0.065
Total amount(A) = 6678 rupees.
Then using above formula we have;

Subtract 5300 both sides we get;

or

We have to find the time period.
Using formula of Simple interest:

where r is the rate of interest (in decimal)
here, r = 6.5% = 0.065
Substitute the given values top find t:

⇒
Divide both sides by 344.5 we have;

Therefore, the time period t in years is 4 years
Answer:
Mom would required 1 lbs of Sugar and 4 lbs of water.
Step-by-step explanation:
Given:
Amount of Sugar syrup Mom wants to make = 5 lbs
Percentile amount of syrup she needs to make = 20%
Solution:
Let amount of sugar to make 20% syrup be 'x'.
So by definition of proportion we get;

Now Multiplying both side by 5 we get;

So we can say that;
Amount of water = 
Hence Mom would required 1 lbs of Sugar and 4 lbs of water.
6 possible ways to order 3 couples in a row
Given,
We have three married couples. that is six persons in total.
a, b, c, d, e, f may taken as the six persons.
Considering the statement:
Elder partner on the left, assume a, c and e as elders.
Then we have, (a, b) ------ ( 1)
(c, d) ------ (2)
(e, f) ------ (3)
There is no change in position between the couples.
So, we get three persons in total.
Possible ways to order these three persons will be like this: 3! = 3×2×1
= 6
Learn more about seating arrangement here ; brainly.com/question/10702719
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