Answer: 25 percent of the jar is filled with orange candies
Step-by-step explanation:
In the jar, there are 3 yellow candies, 3 blue candies, and 2 orange candies. This means that the total number of candies inside the jar would be the sum of the yellow, blue and orange candies. It becomes
3 + 3 + 2 = 8 candies.
The percent of the jar filled with orange candies would be expressed as
number of orange candies/total number of candies × 100
It becomes
2/8 × 100 = 25%
Answer:
3+(k+1)1.5= 3
Step-by-step explanation: you do 1.5 * k and 1 and get 1.5k + 1.5
then you go 3 +1.5k+1.5=?
1.5k+4.5=?
-1.5k -1.5k
4.5=-1.5
_ . _
-1.5 . -1.5
k=3
<u>Answer:</u>
- The solution of the inequality is x < -2.
<u>Step-by-step explanation:</u>
<u>Let's simplify the inequality first.</u>
- => -4x < 8
- => -4x/4 < 8/4
- => -x < 2
- => x < -2
Hence, <u>the solution of the inequality is</u><u> x < -2.</u>
Hoped this helped.
Answer:
- an = 3(-2)^(n-1)
- 3, -6, 12, -24, 48
Step-by-step explanation:
These variable names, a1, r, are commonly used in relationship to geometric sequences. We assume you want the terms of a geometric sequence with these characteristics.
a1 is the first term. r is the ratio between terms, so is the factor to find the next term from the previous one.
a1 = 3 (given)
a2 = a1×r = 3×(-2) = -6
a3 = a2×r = (-6)(-2) = 12
a4 = a3×r = (12)(-2) = -24
a5 = a4×r = (-24)(-2) = 48
The first 5 terms are 3, -6, 12, -24, 48.
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The explicit formula for the terms of a geometric sequence is ...
an = a1×r^(n -1)
Using the given values of a1 and r, the explicit formula for this sequence is ...
an = 3(-2)^(n -1)
Answer:
<2 = 75
<1 = 105
Step-by-step explanation:
<2 and 75 are alternate interior angles and since the lines are parallel, they are equal
<2 = 75
<2 + <1 = 180 since the angles form a line
75+ <1 = 180
Subtract 75 from each side
<1 = 180-75
<1 = 105
