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3 years ago

What is the value of the product of -20/48 times 6 in simplified form

1 answer:

8 0

-20/48 x 6 = $\frac{-20}{48}$ x $\frac{6}{1}$

I would cancel out the 6 in the numerator and the 48 in the denominator
Now I have $\frac{-20}{8}$ or $\frac{-5}{2}$ reduced.

-5 ÷ 2 = -2 1/2 and that is the answer in simplest form

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What are the next three terms in the pattern 2, 6, 18, 54, ...?

castortr0y [4]

Answer:

OPTION B: 162, 486, 1458

Step-by-step explanation:

The given sequence is 2, 6, 18, 54, . . .

It is a geometric sequence and the common difference is 3.

The general form of a geometric sequence is: a, ar, ar², ar³, . . .

Here a = 2 and r = 3.

$n^{th}$ term of a Geometric progression is $ar^{n - 1}$ .

Note that the fourth term is 54.

i.e., $ar^3 = 54$

$\implies ar^4 = ar^3 . r = 54 . 3 = 162$ .

Similarly, $ar^6 = 162 \times 3 = 486$ .

Also, $ar^7 = ar^6 . r = 486 \times 3 = 1458$ .

Hence, OPTION B is the answer.

8 0

3 years ago

Read 2 more answers

Find the volume of the cube

Svet_ta [14]

This is a rectangular prism. Its volume is V = (length)(width)(height).

Here, V = (10 cm)(3 cm)(2 cm) = 60 cm^3.

4 0

3 years ago

1.What is the simplified form of the following expression?

saul85 [17]

Answer:

WWW.MATHPAPA.COM

Step-by-step explanation:

7 0

3 years ago

X^2+x-12=0 solve ASAP

zzz [600]

X^2+x-12=0 factors out into (x+4)(x-3) so the answer is: x=-4, x=3

6 0

2 years ago

HELP ME RN PLEASEEEE [WILL GIVE BRAINLY TO CORRECT AND BEST EXPLAINED ANSWER]

VMariaS [17]

Answer:

$\boxed {\boxed {\sf d= \sqrt{34}}}$

Step-by-step explanation:

We want to find the distance between two points, so the following formula is used.

$d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.

We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:

x₁= -2
y₁= -1
x₂= 3
y₂= 2

Substitute the values into the formula.

$d= \sqrt {(-2-3)^2+(2--1)^2$

Solve the parentheses.

-2 -3 = -5
2--1 = 2+ 1 = 3

$d= \sqrt{(-5)^2+(3)^2$

Solve the exponents.

(-5)²= -5*-5= 25
(3)²= 3*3=9

$d= \sqrt{25+9}$

Add.

$d= \sqrt{34}$

This radical cannot be simplified, so the distance between the two points is √34 and choice 3 is correct.

6 0

3 years ago

Read 2 more answers