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Mrrafil [7]
2 years ago
5

If twice a number, added to 3 is divided by the number plus 5, the result is three halves. Find the number.

Mathematics
2 answers:
Lynna [10]2 years ago
7 0

Answer:2

Step-by-step explanation:

(2x+5)/3 = 3/2

Multiply both sides by 3:

2x + 5 = 9/2

Subtract 5 from both sides:

2x = 9/2 - 5 = 9/2 - 10/2 = 3/2

Divide both sides by :

x = 3/4

larisa86 [58]2 years ago
7 0

Answer:

-1/3

Step-by-step explanation:

A number x is multiplied by 2, then has 3 added to it, then is divided by x+5, and the answer is 3 halves.

Or, as an equation:

\frac{2x + 3}{x + 5}  =  \frac{3}{2}

Let's cross multiply:

4(2x + 3) = 2(x + 5)

Expand:

8x + 12 = 2x + 10

Now solve:

6x + 12 = 10

6x = -2

x =  \frac{-1}{3}

So the answer is -1/3

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in a box of doughnuts, 4/7 of the doughnuts are chocolate and the rest are filled with jam. what is the ratio of chocolate dough
Lina20 [59]
The answer to the question is 4:3
6 0
3 years ago
X + y = 5 ; x - y =3 solve using linear combination
Bas_tet [7]

Answer:

x = 4

y = 1

Step-by-step explanation:

use one equation to solve for one variable.

y = 5 - x

Now plug the value of y in the other equation

x - (5-x) = 3

x+x= 3+5

2x=8

x=4

Now use the value of x to find the value of y on the first equation

y = 5 - x

y = 5 - 4

y = 1


7 0
3 years ago
What is the nth term of 5.5 7 8.5 10 11.5
gizmo_the_mogwai [7]
  <span>my answer to you would be that for this kind of a sequence, there is a fixed way of finding the nth term value 
let's get these basics straight first: 
1) Un= the nth term value 
for eg. U1 = 1st term value 
2) a = first term 
3) d = difference 
Ok now the first step to finding the nth term is finding the constant difference 
in the example that you gave the constant difference is 1.5 
ie 1.5 is being added on each time 
now the fixed rule for finding the nth term is : 
Un = a + d(n-1) 
why? 
because let's take a common example of a linear sequence, a sequence with a constant first term ( so called because it forms a line when drawn in a graph): 
first term is a so, 
a, a+d, a+2d, a+3d......a(n-1)d 
(because the coefficient of d is one less than the term number) 
so putting this into your q: 
a = 5.5 
d=1.5 
Un=a + d (n-1) 
Un=5.5 + 1.5(n-1) 
Un=5.5 + 1.5n - 1.5 
Un=4+ 1.5n 
there you go it works... 
for other types like quadratic cubic and geometric progression, its a totally different story
</span>
7 0
3 years ago
Mo’s farm stand sold a total of 164 pounds of apples and peaches.she sold apples for $1.75 per pound and peaches for $2.50 per p
erastovalidia [21]
X pounds of apples were sold
Y pounds of peaches were sold
{1.75X+2.5Y=337.5
{X+Y=164

{X=164-Y
{1.75*(164-Y)+2.5Y=337.5

0.75Y=337.5-287
Y=67.333

There are 67.333 pounds of peaches were sold.

6 0
3 years ago
Without doing any calculations, compare Expression A to Expression B. A (34 + 25) ÷ 14 B 34 + 25 Which statement is true? 00:00
kari74 [83]

Answer:

Expression B is 4 times as great as expression A

Step-by-step explanation:

Expression B is 4 times as great as expression A because expression A is just expression B divided by 4.

6 0
3 years ago
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