Answer:
how many times larger? 4 times as large
Step-by-step explanation:
if the radius is half as big as the diameter and the diameter is half of the area
<u>r</u> x <u>r</u> = d
<u>d</u> x <u>d</u> = a
Answer:
The sum of the first 37 terms of the arithmetic sequence is 2997.
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is the following:

In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:

The sum of the first n terms of an arithmetic sequence is given by:

In this question:

We want the sum of the first 37 terms, so we have to find 




Then

The sum of the first 37 terms of the arithmetic sequence is 2997.
Answer:
A. 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
-5x - 1 ≤ -9
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 1 to both sides: -5x ≤ -8
- Divide -5 on both sides: x ≥ 8/5
Here we see that any value <em>x</em> greater than or equal to 1.6 would work as a solution.
Therefore, our answer is A. 1, as it doesn't work as a solution.
Answer:
c 35%
Step-by-step explanation:
2 green,5 yellow, 6 red,and 7 blue marbles
2+5+6+7 = 20 marbles
P(blue) = blue marbles / total marbles
= 7/20
= 35/100
=35%
Answer:
She made 12 two point basket.
Step-by-step explanation:
Assuming the number of 2 point basket is x and that of 3 point basket is y.
Based on the question the total numbers of basket is 14, that is x + y = 14 , and the total numbers of points is 30, which helps us with our second equation 2(x) +3(y)=30.
x + y = 14 eqn 1
2(x) +3(y)=30 eqn 2
Using elimination method multiplying eqn 1 by -3 and adding it to equation 2
-3x-3 y = -42 adding to eqn 2 gives
-x= -12
x=12. Which gives the number of the 2 points basket she made .