Answer:
x = 63
y = 47
Step-by-step explanation:
Given that the number of cookies sold is x and that of cupcakes i y, we have:
x + y = 110
2x + 4y = 314
Please see the image for the detailed steps.
22 to the 7 power is <span>2494357888
</span>22 to the 4 power is <span>234256
Just subtract those two numbers and you'll get that it's </span><span>2494123632</span>
Answer:
yes; 1.25
Step-by-step explanation:
The length to width ratios of the rectangles are ...
A: 12/8 = 1.5
B: 15/10 = 1.5
C: 30/15 = 2.0
__
Rectangles A and B have the same aspect ratio, so are similar. Rectangle B is a scaled copy of A with a scale factor of 10/8 = 1.25.
Answer: The answer is 
Step-by-step explanation: Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.
Let, AC = 3x and CM = 4x.
In the right-angled triangle ACM, we have

Now,

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.
So,

Comparing equations (A) and (B), we have

Thus,

Answer:
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
Step-by-step explanation: