What is 1 divided by 3/10

Evaluate the expression below using the properties of operations. Show your steps.−36 ÷ 14 ⋅ (−18) ⋅ (−3) ÷ 6

s2008m [1.1K]

Answer:

(-162)/7 or -23 1/7 as mixed fraction

Step-by-step explanation:

Simplify the following:

(-36)/14 (-18) (-3)/6

Hint: | Express (-36)/14 (-18) (-3)/6 as a single fraction.

(-36)/14 (-18) (-3)/6 = (-36 (-18) (-3))/(14×6):

(-36 (-18) (-3))/(14×6)

Hint: | In (-36 (-18) (-3))/(14×6), divide -18 in the numerator by 6 in the denominator.

(-18)/6 = (6 (-3))/6 = -3:

(-36-3 (-3))/14

Hint: | In (-36 (-3) (-3))/14, the numbers -36 in the numerator and 14 in the denominator have gcd greater than one.

The gcd of -36 and 14 is 2, so (-36 (-3) (-3))/14 = ((2 (-18)) (-3) (-3))/(2×7) = 2/2×(-18 (-3) (-3))/7 = (-18 (-3) (-3))/7:

(-18 (-3) (-3))/7

Hint: | Multiply -18 and -3 together.

-18 (-3) = 54:

(54 (-3))/7

Hint: | Multiply 54 and -3 together.

54 (-3) = -162:

Answer: (-162)/7

3 0

3 years ago

lexi has $13.00 less that renee. together, they have a total of $95.00. how much money does renee have?

ivanzaharov [21]

Answer:

if I am right Renee would have 82.00 because Lexi has 13.00 less than Renee and together their money's adds up to 95.00 so if you take 13.00 from 95.00 you will have 82.00 that in my opinion

5 0

2 years ago

Which equation represents a line which is perpendicular to the line y=−4x−5?

AnnZ [28]

Answer:

$y=\frac{1}{4}x-5$

Step-by-step explanation:

5 0

2 years ago

What is the 9th term of the geometric sequence 4, −20, 100, …?

sveta [45]

First, we are going to find the common ratio of our geometric sequence using the formula: $r= \frac{a_{n}}{a_{n-1}}$ . For our sequence, we can infer that $a_{n}=-20$ and $a_{n-1}=4$ . So lets replace those values in our formula:
$r= \frac{-20}{4}$
$r=-5$

Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula: $a_{n}=a_{1}*r^{n-1}$ . We know that $a_{1}=4$ ; we also know for our previous calculation that $r=-5$ . So lets replace those values in our formula:
$a_{n}=4*(-5)^{n-1}$

Finally, to find the 9th therm in our sequence, we just need to replace $n$ with 9 in our explicit formula:
$a_{9}=4*(-5)^{9-1}$
$a_{9}=4*(-5)^{8}$
$a_{9}=1562500$

We can conclude that the 9th term in our geometric sequence is <span>1,562,500</span>

4 0

2 years ago

Find the height of a cylinder whose diameter is 42 cm and the area of its curved

Wittaler [7]

9514 1404 393

Answer:

90 cm

Step-by-step explanation:

The lateral area of a cylinder is given by the formula ...

LA = πdh

Filling in the given information, we can solve for h:

11,880 cm^2 = π(42 cm)h

h = 1180 cm^2/(42π cm) ≈ 90.0 cm

The height of the cylinder is about 90 cm.

7 0

2 years ago