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3 years ago

What is the answer to 10=4a

Mathematics

1 answer:

Archy [21]3 years ago

3 0

Answer:

5/2

Step-by-step explanation:

divide both sides by 4

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In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

PilotLPTM [1.2K]

Answer:

105th term of given series is

$a_n=\dfrac{105}{2}$

Step-by-step explanation:

Given series is

$\dfrac{1}{2},\ 1,\ \dfrac{3}{2},\ 2,\ \dfrac{5}{2}.....$

As we can see,

$\textrm{First term},a_1=\dfrac{1}{2}$

Also,

$1-\dfrac{1}{2}=\dfrac{3}{2}-1=2-\dfrac{3}{3}=.....=\dfrac{1}{2}$

hence, we can say given series is in arithmetic progression,

with common difference,

$d=\ \dfrac{1}{2}$

As given in question the nth term in A.P is given by

$a_n=a_1+(n-1)d$

since we have to find the 105th term, so we can write

$a_{105}=\dfrac{1}{2}+(105-1)\dfrac{1}{2}$

$=\dfrac{1}{2}+\dfrac{104}{2}$

$=\dfrac{105}{2}$

Hence, the 105th term of given series of A.P is $\dfrac{105}{2}$ .

7 0

3 years ago

Solve x/3 = x+2/2. X=

Leni [432]

Answer:

I will assume that the term "x+2/2" is meant to be "(x + 2)/2)." Otherwise the equation would read (x/3) = x + 1

Step-by-step explanation:

(x/3) = (x + 2)/2

x = 3*(x+2)/2 [Multiply both sides by 3]

x = (3x + 6)/2

x = (3/2)x + 6/2

x - (3/2)x = 3

-0.5x = 3

x = -6

====================

Check:

Does (x/3) = (x + 2)/2 for x = -6?

(-6/3) = (-6 + 2)/2

-2 = -4/2

-2 = -2 YES

6 0

2 years ago

Select all equations that have infinitely many solutions.

ella [17]

Answer:

Step-by-step explanation:

Test Numbers with each equation or Simplify

Simplified, C's equation equates to 0 which would make it infinite

8 0

3 years ago

Read 2 more answers

Drag the tiles to the boxes to form correct pairs.

SOVA2 [1]

Answer:

Step-by-step explanation:

Hello

Match the points on the number line with the rational numbers.

a __ -6/8 = -(2 x 3)/(2 x 4) = -3/4

b __ -2/8 = -2/(2 x 4) = -1/4

c __ -4/8 = -4/(4 x 2) = -1/2

d __ 8/8 = 1

e __ 13/8

3 0

3 years ago

Find all solutions of the equation algebraically. Use a graphing utility to verify the solutions graphically. (Enter your answer

Anuta_ua [19.1K]

Answer:

The solutions of the equation are 0 and 0.75.

Step-by-step explanation:

Given : Equation $16x^4 - 24x^3 +9x^2 =0$

To find : All solutions of the equation algebraically. Use a graphing utility to verify the solutions graphically ?

Solution :

Equation $16x^4 - 24x^3 +9x^2 =0$

$x^2(16x^2-24x+9)=0$

Either $x^2=0$ or $16x^2-24x+9=0$

When $x^2=0$

$x=0$

When $16x^2-24x+9=0$

Solve by quadratic formula, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-(-24)\pm\sqrt{(-24)^2-4(16)(9)}}{2(16)}$

$x=\frac{24\pm\sqrt{0}}{32}$

$x=\frac{24}{32}$

$x=\frac{3}{4}$

$x=0.75$

The solutions of the equation are 0 and 0.75.

For verification,

In the graph where the curve cut x-axis is the solution of the equation.

Refer the attached figure below.

7 0

3 years ago