Help me correct this plz

Mathematics

2 answers:

Mars2501 [29]4 years ago

8 0

Let the total number be x, then
x/100 * 40=30
x=30*100/40
x=75

All the best

adelina 88 [10]4 years ago

5 0

The answer will be D) 75

To find this it’s easiest to find how many animals there are per percent. So to find this you simply have to divide 30 (the number of cats) by 40 (the percent that makes up) to find the number of animals per percent.

30/40

.75

Then you multiply this by 100 to find how many animals there are total.

.75(100)

75

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19 POINTS HELP PLEASE! Complete the table and pattern. Determine the common difference. Write the explicit rule.

Sonbull [250]

$a_1=-20,\ a_3=-15\\\\2d=a_3-a_1\to 2d=-15-(-20)\to2d=-15+20\to2d=5\to d=2.5\\\\a_n=a_1+(n-1)d\to a_n=-20+(n-1)(2.5)=-20+2.5n-2.5=2.5n-22.5\\\\a_2=2.5(2)-22.5=5-22.5=-17.5\\\\a_4=2.5(4)-22.5=10-22.5=-12.5\\\\a_6=2.5(6)-22.5=15-22.5=-7.5$

f(n)| -20 | -17.5 | -15 |-12.5| -10 | -7.5 |

First term: -20 Common Difference: 2.5

Explicit Rule: $a_n=2.5n-22.5$ Recursive Rule: $a_1=-20,\ a_n=a_{n-1}+2.5$

$a_1=123,\ a_2=131\\\\d=a_2-a_1\to d=131-123=8\\\\a_n=a_1+(n-1)d\to a_n=123+(n-1)(8)=123+8n-8=8n+115\\\\a_3=8(3)+115=24+115=139\\\\a_5=8(5)+115=40+115=155\\\\a_6=8(6)+115=48+115=163$