<h2>Answer:</h2>
A.
Let Annie's weight be = a
Let Benjie's weighs = b
Let Carmen's weight be = c
One day Annie weighed 24 ounces more than Benjie, equation forms:
......(1)
Benjie weighed 3 1/4 pounds less than Carmen.
In ounces:
1 pound = 16 ounces
pounds = 
ounces
or
......(2)
Now adding (1) and (2), we get
a+b=b+24+c-52
=> 
This gives Annie weighs 28 ounces less than Carmen.
B.
We cannot know anyone's actual weight, as we only know their relative weights.
Answer: 9p - 1.5a
Step-by-step explanation:
Your maximum heart rate is about 220 minus your age. But it varies base on age category.
Target heart rate during moderate intensity activities is about 50-70% of maximum heart rate.
According to the question;
Target heart rate for
women = 1/2p(418-4a)
= 209p - 2a ....... (1)
men = 1/2p(400-a)
= 200p - 0.5a .......(2)
To find the difference between the target heart rates for a fit woman and a fit man, take equation 1 from equation 2
(209p - 2a) - (200p - 0.5a)
209p - 2a - 200p + 0.5a
9p -1.5a
<h3>
Answer: 1</h3>
where x is nonzero
=======================================================
Explanation:
We'll use two rules here
- (a^b)^c = a^(b*c) ... multiply exponents
- a^b*a^c = a^(b+c) ... add exponents
------------------------------
The portion [ x^(a-b) ]^(a+b) would turn into x^[ (a-b)(a+b) ] after using the first rule shown above. That turns into x^(a^2 - b^2) after using the difference of squares rule.
Similarly, the second portion turns into x^(b^2-c^2) and the third part becomes x^(c^2-a^2)
-------------------------------
After applying rule 1 to each of the three pieces, we will have 3 bases of x with the exponents of (a^2-b^2), (b^2-c^2) and (c^2-a^2)
Add up those exponents (using rule 2 above) and we get
(a^2-b^2)+(b^2-c^2)+(c^2-a^2)
a^2-b^2+b^2-c^2+c^2-a^2
(a^2-a^2) + (-b^2+b^2) + (-c^2+c^2)
0a^2 + 0b^2 + 0c^2
0+0+0
0
All three exponents add to 0. As long as x is nonzero, then x^0 = 1
The answer is D. y = -2x + 20. This is because it has a negative slope (-2x). When a number in a slope-intercept equation has the variable (x), that determines the positive or negative association. If it is a positive slope, it travels up from left to right. If it is a negative slope, it travels down from left to right.
The answer of the larger circle = 254.34
Formula = radius*radius*π
The answer of the smaller circle = 113.04
254.34 - 113.04 = 141.3
Hope this helped☺☺
