Here, first tern is 1024, common ratio = 1/2 and last term = 32
32 = 1024((1/2)^n
(1/2)^n = 32/1024 = 1/32
(1/2)^n = (1/2)^5
Therefore, n = 5
Answer:
3/4 as a percent is written as 0.75%
Step-by-step explanation:
Answer:
x-intercept: (6,0)
y-intercept: (0,4)
Step-by-step explanation:
The x-intercepts lay on the x-axis and therefore their y-coordinate is 0.
To find the x-intercept, you set y to 0 and solve for x.
2x+3y=12
Set y=0.
2x+3(0)=12
2x+0 =12
2x =12
Divide both sides by 2:
x =12/2
x =6
The x-intercept is (x,y)=(6,0).
The y-intercepts lay on the y-axis and therefore their x-coordinate is 0.
To find the y-intercept, you set x to 0 solve for y.
2x+3y=12
2(0)+3y=12
0+3y =12
3y =12
Divide both sides by 3:
y =12/3
y =4
The y-intercept is (0,4).
Answer:
Fifth graders= 93 shirts
Sixth graders= 156 shirts
Teachers= 51 shirts
Step-by-step explanation:
31% of 300 is 93
52% of 300 is 156
The total number of shirts sold to fifth graders and sixth graders is:
156+93= 249
The number of shirts sold to teachers is:
300-249= 51
Represent 24 as a sum of two numbers, first number from first die and second number from second die.
24=19+5=18+6=17+7=16+8=14+10=13+11=12+12=11+13=10+14=9+15=8+16=7+17=6+18=5+19=4+20 (the sums 15+9 and 20+4 are absent, because there aren't numbers: 20 on the first die and number 9 on the second die). Totally, you receive 15 different representations of 24.
<span>The probability that the sum of the two numbers facing up will be 24 is
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</span><span>

(here

means that you have 20 possibilities to roll first number or blank face on the first die and 20 possibilities to roll number or blank face on the second die).
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