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2 years ago

Why does these expressions 2(30x-24), 3(20x-16), and 4(15x-12) have the same expansion?

1 answer:

6 0

The expressions have the same expansion I'd say because the pairs 2 and 30, 3 and 20, and 4 and 15 because they are all equivalent to 60 because they are all factors of 60.

Same goes with the other pairs, because they are all equivalent to 48 because they are all factors of 48.

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If Tan x = 3/4, and 0

cluponka [151]

Answer:

I don’t know

Step-by-step explanation:

5 0

3 years ago

PART 1: Identify the two equivalent forms for 3/5% below

kaheart [24]

Part 1: Equivalent fraction=3/500
Equivalent Decimal= .006
Part 2: A and E

4 0

2 years ago

Show work and explain with formulas:

Marina86 [1]

17 Answer: 205

Step-by-step explanation:

$\{1\dfrac{2}{3}+1\dfrac{5}{6}+2+...+8\dfrac{1}{3}\}\implies a_1=1\dfrac{2}{3},\ d=\dfrac{1}{6}\\\\\\a_n=a_1+d(n-1)\qquad solve\ for\ n\\\\8\dfrac{1}{3}=1\dfrac{2}{3}+\dfrac{1}{6}(n-1)\\\\\\\dfrac{25}{3}=\dfrac{5}{3}+\dfrac{1}{6}n-\dfrac{1}{6}\\\\\\\dfrac{50}{6}=\dfrac{10}{6}+\dfrac{1}{6}n-\dfrac{1}{6}\\\\\\\dfrac{41}{6}=\dfrac{1}{6}n\\\\\\\dfrac{41}{6}\cdot 6=n\\\\41=n$

$\text{Now use the sum formula:}\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{41}=\dfrac{1\dfrac{2}{3}+8\dfrac{1}{3}}{2}\cdot 41\\\\\\.\quad =\dfrac{10}{2}\cdot 41\\\\\\.\quad =5\cdot 41\\\\.\quad =\large\boxed{205}$

18 Answer: 1968

Step-by-step explanation:

$a_1=-6,\ d=2,\ n=48, \quad \text{solve for }a_{48}\\\\a_{n}=a_1+d(n-1)\\\\a_{48}=-6+2(48-1)\\\\.\quad =-6+2(47)\\\\.\quad =-6+94\\\\.\quad =88$

$\text{Now use the sum formula:}\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{48}=\dfrac{-6+88}{2}\cdot 48\\\\\\.\quad =\dfrac{82}{2}\cdot 48\\\\\\.\quad =41\cdot 48\\\\.\quad =\large\boxed{1968}$

19 Answer: -116

Step-by-step explanation:

$\{3, -2, -7, ...\}\\a_1=3,\ d=-5,\ n=8, \quad \text{solve for }a_{8}\\\\a_{n}=a_1+d(n-1)\\\\a_{8}=3-5(8-1)\\\\.\quad =3-5(7)\\\\.\quad =3-35\\\\.\quad =-32\\\\\text{Now use the sum formula:}\\\\S_8=\dfrac{a_1+a_8}{2}\cdot 8\\\\\\S_{8}=\dfrac{3-32}{2}\cdot 8\\\\\\.\quad =\dfrac{-29}{2}\cdot 8\\\\\\.\quad =-29\cdot 4\\\\.\quad =\large\boxed{-116}$

6 0

2 years ago

A family buys 5 airline tickets online. The family buys travel insurance that costs $19 per ticket. The

seropon [69]

Answer:

One ticket is $164. The expression is (5*19) + (5*164) or (5*19) + 5x

Step-by-step explanation:

19*5 = 95

915 - 95 = 820

820/5 = 164

The price of one ticket is $164.

Hope this helps. Have a nice day.

8 0

2 years ago

Read 2 more answers

How do you solve thus ? 8=8v-4(v+8)

Harrizon [31]

8 = 8v - 4 (v + 8)

Distribute the 4 through the parentheses

8 = 8v - 4v - 32

combine like terms

8 = 4v - 32

add 32 to both sides

8 + 32 = 4v -32 + 32

combine like terms

40 = 4v

divide each side by 4

40/10 = v

4 = v

v= 4

8 0

2 years ago