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3 years ago

If A:B = 5:18 and B:C = 6:4, form the ratio A:B:C

Mathematics

2 answers:

valina [46]3 years ago

8 0

Answer:

5 : 18 : 12

Step-by-step explanation:

Express the ratio B : C in fractional form, that is

$\frac{B}{C}$ = $\frac{6}{4}$ ( cross- multiply )

6C = 4B ( divide both sides by 6 )

C = $\frac{4}{6}$ B = $\frac{2}{3}$ B , then

C = $\frac{2}{3}$ × 18 = 2 × 6 = 12

Hence

A : B : C = 5 : 18 : 12

Ede4ka [16]3 years ago

5 0

Answer:

5:18:12

Step-by-step explanation:

5:18

_:6:4 --> since you multiply 6 by 3 to get 18, multiply 4 by three to get the A:B:C ratio.

5:18:12

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bogdanovich [222]

Answer:

(A) - (5)

(B) - (4)

(C) - (1)

(D) - (2)

Step-by-step explanation:

(A) We are given the polynomial (x+4)(x−4)[x−(2−i)][x−(2+i)]

(5) The related polynomial equation has a total of four roots; two roots are complex and two roots are real.

(B) We are given the polynomial (x+i)(x−i)(x−2)³(x−4).

(4) The related polynomial equation has a total of six roots; two roots are complex and one of the remaining real roots has a multiplicity of 3.

(1) The related polynomial equation has a total of four roots; all four roots are real and one root has a multiplicity of 2.

(D) We are given the polynomial (x+2)²(x+1)²

(2) The related polynomial equation has a total four roots; all four roots are real and two roots have a multiplicity of 2. (Answer)

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3 years ago

Which equation could be used to calculate the sum of the geometric series? One-third + two-ninths + StartFraction 4 Over 27 EndF

kondaur [170]

Answer:

S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction

Step-by-step explanation:

Given the geometric series:

1/3+2/9+4/27+8/81+16/243

First we must know that the series is a finite series with just 5terms.

Before we can know the formula to calculate sum of the first five terms of the series, we must determine its common ratio (r) first.

r = (2/9)÷1/3 = 4/27÷2/9= 8/81÷4/27

r = 2/9 × 3/1

r = 2/3

Similarly;

r = 4/27×9/2

r = 2/3

Since all values of r is the as them the common ratio is 2/3.

If r< 1 in geometric series, then the formula for finding its sum is applicable

Sn = a(1-rⁿ)/1-r

a is the first term = 1/3

r is the common ratio = 2/3

n is the number of terms = 5

Substituting the values in the formula we have:

S5 = 1/3{1-(2/3)^5}/1-2/3

This gives the requires equation

S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction

4 0

3 years ago

Read 2 more answers

Which function has a vertex at the origin?

dlinn [17]

Answer:

(d) f(x) = -x²

Step-by-step explanation:

For the vertex of the quadratic function to be at the origin, both the x-term and the constant must be zero. That is, the function must be of the form ...

f(x) = a(x -h)² +k . . . . . . . . . . vertex form; vertex at (h, k)

f(x) = a(x -0)² +0 = ax² . . . . . vertex at the origin, (h, k) = (0, 0)

Of the offered answer choices, the only one with a vertex at the origin is ...

f(x) = -x² . . . . . a=-1

6 0

2 years ago

In the standard (x, y) coordinate plane, what is the slope of the line joining the points (3,7) and (4,−8)?

rjkz [21]

We know that the slope formula is m = (y1 - y2)/(x1 - x2)
Your points are: (3, 7) and (4, -8)
In this case,
x1 = 3
x2 = 4
y1 = 7
y2 = -8
Now, just plug in the numbers:
m = (7 - -8)/(3-4)
m = 15/-1
m = -15
Your slope is -15.

7 0

3 years ago

In the United States, we measure milk by the gallon. If we were using the metric system, what metric unit would we use

Lynna [10]

Answer:

The metric unit used for milk is the liter, L.

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2 years ago

If A:B = 5:18 and B:C = 6:4, form the ratio A:B:C​

If A:B = 5:18 and B:C = 6:4, form the ratio A:B:C