6 bills in the deposit were $10 bills.
<u>Step-by-step explanation:</u>
The total number of bills he gave the teller = 24 bills
x + y = 24 ------------(1)
Let,
x be the number of $5 bills.
y be the number of $10 bills.
The total bank deposit made using $5 and $10 bills are $150.
<u>He deposits $5 bills and $10 bills. So, the equation can be framed as :
</u>
5x + 10y = 150 --------(2)
The question is asked for how many $10 bills were in the deposit,
Here 'y' is the number of $10 bills.
<u>To solve for y value :
</u>
The eq(1) must be multiplied by 5 and subtract eq(2) from eq(1),
5x + 5y = 120
-(<u>5x + 10y = 150</u>)
<u>-5y = -30 </u>
⇒ y = 30/5
⇒ y = 6
Therefore, there were 6 bills in the deposit that are $10 bills.
Answer:
x = 8
Step-by-step explanation:
Since the triangle is equiangular then the 3 angles are congruent and of measure 60°.
Equate any of the 3 angles to 60 and solve for x, that is
7x + 4 = 60 ( subtract 4 from both sides )
7x = 56 ( divide both sides by 7 )
x = 8
Answer:
see explanation
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
= 
( cross- multiply )
9x = 72 ⇒ x = 8
Also
= ( cross- multiply )
6a = 45 ⇒ a = 7.5
And
= ( cross- multiply )
6b = 63 ⇒ b = 10.5
Corresponding angles in the 2 figures are congruent, thus
∠s = 83°
Each lower base angle is supplementary to the upper base angle on the same side, hence
∠r = 180° - 30° = 150°
Answer:
He owns 6 laptops.
Step-by-step explanation:
48 × 6 = 288.
