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3 years ago

90 is decreased to 81

Mathematics

2 answers:

Shtirlitz [24]3 years ago

5 0

90-81=9. I think this is the form you wanted it to be in am I right?

alex41 [277]3 years ago

3 0

90 - x = 81
x = 90 - 81 = 9

The answer is 9.

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Identify the sequence as arithmetic, geometric, both, or neither. 50, –50, 50, –50, . . . both arithmetic geometric neither desc

stellarik [79]

Answer:

The sequence is geometric.

Step-by-step explanation:

In Arithmetic sequence, there is a common difference between any two consecutive terms but in Geometric sequence, there is a common ratio between any two consecutive terms.

Given sequence is: 50, -50, 50, -50,.................

Lets assume, the terms as $a_{1}, a_{2}, a_{3}, a_{4},...........$

Checking for common difference:

$a_{2}-a_{1}= (-50)-(50)= -100\\ \\ a_{3}-a_{2}=(50)-(-50)=100\\ \\ a_{4}-a_{3}=(-50)-(50)=-100$

As there is no common difference, so it's not an arithmetic sequence.

Checking for common ratio

$\frac{a_{2}}{a_{1}}=\frac{-50}{50}=-1\\ \\ \frac{a_{3}}{a_{2}}=\frac{50}{-50}=-1\\ \\ \frac{a_{4}}{a_{3}}=\frac{-50}{50}=-1$

As there is a common ratio, so it's a geometric sequence.

8 0

4 years ago

a 1ft long piece of wire needs to be divided into two pieces which will form the shape of a circle and a square. Determine the l

yan [13]

Answer:

Length of wire for circle is 0.44 ft

Length of wire for square is 0.56 ft

Step-by-step explanation:

Let x is circumference of the circle

then

(1-x) = perimeter of the square

Find the radius of the circle

r = (x/2.π)

Find the area of the circle

a = π(x/2π)^2

a = π(x^2/4π^2)

Cancel π

a = x^2/4π

Find the area of the square:

a = (1-x/4)^2

a = (1-2x+x^2)/16

Total area

A = (x^2/4π)+(1-2x+x^2/16)

A = 4x^2+3.142-6.284x+3.142x^2

A = 7.142x^2-6.284x+3.142

Find the axis of symmetry [x = -b/(2a)]

x = -(-6.284)/{2.(7.142)}

x = 6.284/14.284

x = 0.44 ft, the piece of wire creating a circle

and

1 - 0.44 = 0.56 ft, the piece of wire creating the square

These lengths should give minimum area of the circle and square together

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3 years ago

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Jobisdone [24]

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4 0

3 years ago

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Need help multiplying -300 to N+M&M=10 for equation (1)

xz_007 [3.2K]

Answer:

3.5 pounds of nuts; 6.5 pounds of M&Ms

Step-by-step explanation:

Let m represent the number of pounds of M&Ms to use. Then 10-m is the number of pounds of nuts, and the cost of the mix is ...

6·m + 3·(10-m) = 4.95·10 . . . . . cost = cost per pound times pounds

3m +30 = 49.5 . . . . . . simplify

3m = 19.5 . . . . . . . . . . . subtract 30

m = 6.5 . . . . . . . . . . . . . divide by 3

Then 10-m = 10-6.5 = 3.5.

The manager should use 3.5 pounds of nuts and 6.5 pounds of M&Ms in the mix.

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3 years ago

mr amaya class is collecting thing to measure. rachel find a leaf. would the leaf be 4 inches, 4 feet, or yards longer

artcher [175]

Good question!

The leaf would in fact be 4 inches. 4 feet long would be 48 inches which is way too big for a leaf! And let's not even begin to consider how big 4 yards would be!

The leaf is 4 inches, hope this helps!

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3 years ago

Read 2 more answers