Answer:
4) B) 
3) A) 
2) C) 
1) A) 
Step-by-step explanation:
4) The numbers 8 and 15 have no common divisors other than 1. Answer choice D) has a common divisor of 13, C) has a common divisor of 4, and A) has a common divisor of 5.
3) In this case, since the numerators are equivalent, all we need to do is focus on their denominators. Whenever we have <em>equivalent numerators</em>, the smaller the denominator, the larger the fraction becomes, and so this is the statement we go with.
2) In answer choice D), both denominator and numerator were multiplied by 7, B) was multiplied by 5, and A) was multiplied by 4. Now, C) was never multiplied correctly because the denominator was multiplied by 6 WHILE the numerator was multiplied by 7. This is the answer we go with.
1) We can automatically throw out D) and C) because they go way beyond 3⁄11. Answer choice B) is an equivalent fraction of 3⁄11 because both denominator and numerator were multiplied by 2, leaving the only possible answer of A). Besides, whenever we have a one-term-numerator range difference like 3⁄11 and 2⁄11, we double the denominator and pick the numerator term that is the SUM of the two given numerators in your exercise, which is what you see here:

So, 5 is your numerator.
I am joyous to assist you anytime.
Answer:
I'd try to do that, but it cannot be done.
Step-by-step explanation:
The above sentence contains 30 letters, including 3 "e"s, so the frequency of e is 3/30 = 0.1 = 10%
Answer:
the answer is |-8| and |8|
Step-by-step explanation:
both of the answers in absolute value will give 8
Answer:
2x - 7y = -34.
Step-by-step explanation:
As the line we want is perpendicular to y= -7/2 x + 9 it's slope will be
-1 /(-7/2) = 2/7.
Now we find the point of intersection ofn the 2 given lines:
x + y = 10
3x - 4y = -12
Multiply the first equation by -3:
-3x - 3y = -30
Now add this last equation to the second one:
-7y = -42
y = 6
Plug y = 6 into the first equation:
x + 6 = 10
x = 4.
So the point of intersection is (4, 6) and the equation we want passes through this, so using the point-slope form of straight line we have:
y - 6 = 2/7(x - 4)
7y - 42 = 2(x - 4)
7y - 42 = 2x - 8
2x - 7y = -42 + 8
2x - 7y = -34
Answer:
C: 119 square inches
Step-by-step explanation:
We are given;
Slant height; L = 5 in
Base area; B = 49 in²
Since it's a square pyramid, the base portion has a square shape.
Thus, area of base = x²
Where x is a side of the square.
Thus;
x² = 49
x = √49
x = 7
Perimeter of base = 7 × 4 = 28 in
Area of pyramid = ½PL + B
Plugging in the relevant values;
Area of pyramid = (½ × 28 × 5) + 49
Area of pyramid = 119 in²