Answer: The fraction of the gifts were for birthdays =
.
Step-by-step explanation:
Given: fraction of gifts for weddings = 
fraction of gifts for baby showers = 
Rest of the gifts = 
![=\dfrac{100-30-37}{100}\ \ \ [\text{Making like fractions}]\\\\=\dfrac{100-67}{100}\\\\=\dfrac{33}{100}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B100-30-37%7D%7B100%7D%5C%20%5C%20%5C%20%5B%5Ctext%7BMaking%20like%20fractions%7D%5D%5C%5C%5C%5C%3D%5Cdfrac%7B100-67%7D%7B100%7D%5C%5C%5C%5C%3D%5Cdfrac%7B33%7D%7B100%7D)
Hence, the fraction of the gifts were for birthdays =
.
Combine like terms. Is there a picture for this?
Answer:
(4) 0
Step-by-step explanation:
<u>Given:</u>
- cos²27°×cos²34°×...×cos²167 = ?
<u>Looking at the angles measures, they form series of: </u>
This is AP with the first term of 27 and common difference of 7
<u>We can see one of the terms of this AP is 90</u>
Since cos 90° = 0 ⇒ cos²90° = 0 and therefore given series equals to zero as one of the terms of multiplication is zero.
<u>So correct answer choice is</u> Option 4) 0
Look at the picture.
We have the equation (1) 12x + 4y = 40.
We know, the sum of the acute angles in a right triangle is 90°.
Therefore we have the equation (2) (12x + 4y) + (17x - y) = 90
Substitute (1) to (2):
40 + 17x - y = 90 <em>subtract 40 from both sides</em>
17x - y = 50 (3)
We have the system of equations:

Substitute the value of x to (3)

Answer: x = 3 and y = 1.
Answer:
1.5 and 4.4
Step-by-step explanation:
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