Simplify the expression. 6(6) + 6(4) a. 60 b. 10 c. 16 d. 12

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

8 0

6 x 6 = 36
6 x 4 = 24
36 + 24 = 60
A

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1) Find x, if 1/3 of x is 14

BartSMP [9]

"of" means multiply and "is" means equal

1. $\frac{1}{3}$ x = 14

x = 14(3) multiply both sides by 3 to isolate "x"

x = 42

2. $\frac{1}{5}$ x = 14

x = 14(5) multiply both sides by 5 to isolate "x"

x = 70

3. $\frac{2}{5}$ x = 14

2x = 14(5) multiply both sides by 5

2x = 70

x = 35 divide both sides by 2 to isolate "x"

4. $\frac{7}{8}$ x = 14

7x = 14(8) multiply both sides by 8

7x = 112

x = 16 divide both sides by 7 to isolate "x"

Answers: 42, 70, 35, 16

5 0

3 years ago

A sequence is constructed according to the following rule: its first term is 7, and each next term is one more than the sum of t

Iteru [2.4K]

Answer:

Step-by-step explanation:

According to the described rule, we have

$a_1=7\\ \\a_1^2=7^2=49\Rightarrow a_2=4+9+1=14\\ \\a_2^2=14^2=196\Rightarrow a_3=1+9+6+1=17\\ \\a_3^2=17^2=289\Rightarrow a_4=2+8+9+1=20\\ \\a_4^2=20^2=400\Rightarrow a_5=4+0+0+1=5\\ \\a_5^2=5^2=25\Rightarrow a_6=2+5+1=8\\ \\a_6^2=8^2=64\Rightarrow a_7=6+4+1=11\\ \\a_7^2=11^2=121\Rightarrow a_8=1+2+1+1=5\\ \\\text{and so on...}$