Ask question

Ask question

All categories

2 years ago

8

Jessie thinks that the first step in solving the equation shown below could be to use the addition property of his equality. His

friend robin thinks that yhe multiplication property of equality could be used first. Who is correct and why? 2/5 x - 3/2 = 5/2 x + 6

2 answers:

AfilCa [17]2 years ago

6 0

Answer:

jessie

Step-by-step explanation:

ur welcome

Nady [450]2 years ago

6 0

Answer:

jessie

Step-by-step explanation:

because math is math

You might be interested in

Freee points freee points, arent I so humble? ;)

Alenkasestr [34]

Answer:

ayo thanks g

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.

Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is $\dfrac{15}{2}.$

To find:

The sum of first six terms.

Solution:

We have,

$S_2=6$

$S_4=\dfrac{15}{2}$

Sum of first n terms of a GP is

$S_n=\dfrac{a(1-r^n)}{1-r}$ ...(i)

Putting n=2, we get

$S_2=\dfrac{a(1-r^2)}{1-r}$

$6=\dfrac{a(1-r)(1+r)}{1-r}$

$6=a(1+r)$ ...(ii)

Putting n=4, we get

$S_4=\dfrac{a(1-r^4)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}$

$\dfrac{15}{2}=6(1+r^2)$ (Using (ii))

Divide both sides by 6.

$\dfrac{15}{12}=(1+r^2)$

$\dfrac{5}{4}-1=r^2$

$\dfrac{5-4}{4}=r^2$

$\dfrac{1}{4}=r^2$

Taking square root on both sides, we get

$\pm \sqrt{\dfrac{1}{4}}=r$

$\pm \dfrac{1}{2}=r$

$\pm 0.5=r$

Case 1: If r is positive, then using (ii) we get

$6=a(1+0.5)$

$6=a(1.5)$

$\dfrac{6}{1.5}=a$

$4=a$

The sum of first 6 terms is

$S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}$

$S_6=\dfrac{4(1-0.015625)}{0.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Case 2: If r is negative, then using (ii) we get

$6=a(1-0.5)$

$6=a(0.5)$

$\dfrac{6}{0.5}=a$

$12=a$

The sum of first 6 terms is

$S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}$

$S_6=\dfrac{12(1-0.015625)}{1.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Therefore, the sum of the first six terms is 7.875.

5 0

2 years ago

Allison bought some shirts for he clothing store for $15 each. She received $50 off her entire purchase and spent a total of $40

k0ka [10]

The $50 off was like a coupon after you brought all your merchandise to the counter, so we have to add it back in to determine the number of shirts.

$400+$50=$450 original price of shirts

Original price ÷ price per shirt= quantity purchased

$450 ÷ $15/shirt= 30 shirts purchased

Allison bought 30 shirts.

Hope this helps! :)

6 0

3 years ago

Eva invests $6400 in a new savings account which earns 3.4 % annual interest, compounded continuously. What

cupoosta [38]

Answer:

$7821.74

Step-by-step explanation:

Eva invests $6400 in a new savings account which earns 3.4% annual interest, compounded continuously.

We have to find the value of her investment after 6 years,

Now, using the formula for the compound interest we can get the value of her investment.

So, it will be $V = 6400 (1 + \frac{3.4}{100} )^{6} = 7821.74$ Dollars (Approximate)

{Rounded to the nearest cent} (Answer)

7 0

2 years ago

If f(x) = x-1/3 and g(x) = 3x+1 what is (fog)(x)

marin [14]

Answer:

if you meant f(x) = (x - 1) /3 then f (g(x) ) = x

of if you meant f(x) = x - (1/3) then f(g (x)) = 3x + 2/3

Step-by-step explanation:

f(x) = x-1/3 and g(x) = 3x+1 what is (fog)(x)

f ( g(x) ) = (3x + 1) - (1/3) = 3x + 2/3

Or

if you meant f(x) = (x - 1) /3 then f (g(x) ) = x

of if you meant f(x) = x - (1/3) then f(g (x)) = 3x + 2/3

3 0

2 years ago