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serious [3.7K]
3 years ago
14

when 55 is added to a certain number and the sum is divided by 3 , the result is 4 times the original number what is the origina

l number​
Mathematics
1 answer:
gogolik [260]3 years ago
7 0

Answer:

4.99

Step-by-step explanation:

i cant remember how i got 4.99 but can show u how to check

= 55 +<u> 4.99 </u>= 59.99

59.99 divide <u>3</u> = 19.99666667

= 19.99666667 divide 4 (working in reverse as it says 4 times the orig no.)

= 4.99 (was rounded)

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If f(n)=5^n then what is f(4)
gregori [183]
All you have to do is plug in 4 where n is

In other words n = 4

So...

F(n) = 5^n
F(4) = 5^4 or (5 x 5 x 5 x 5)
F(4) = 625
5 0
3 years ago
A brownie recipe asks for three and one half times as much sugar as chocolate chips. If four and two thirds cups of sugar is use
Svetradugi [14.3K]

Answer:

1 1/3 chocolate chips

Step-by-step explanation:

you have to divide 4 2/3 ÷ 3 1/2

change mixed number to improper fraction

14/3÷7/2

KFC-Keep Flip Change

14/3 × 2/7 = 28/21

28÷21= 1 1/3

4 0
3 years ago
Solve the following 3 × 3 system. Enter the coordinates of the solution below.
love history [14]
The system is:

i)    <span>2x – 3y – 2z = 4
ii)    </span><span>x + 3y + 2z = –7
</span>iii)   <span>–4x – 4y – 2z = 10 

the last equation can be simplified, by dividing by -2, 

thus we have:

</span>i)    2x – 3y – 2z = 4
ii)    x + 3y + 2z = –7
iii)   2x +2y +z = -5 


The procedure to solve the system is as follows:

first use any pairs of 2 equations (for example i and ii, i and iii) and equalize them by using one of the variables:

i)    2x – 3y – 2z = 4   
iii)   2x +2y +z = -5 

2x can be written as 3y+2z+4 from the first equation, and -2y-z-5 from the third equation.

Equalize:  

3y+2z+4=-2y-z-5, group common terms:
5y+3z=-9   

similarly, using i and ii, eliminate x:

i)    2x – 3y – 2z = 4
ii)    x + 3y + 2z = –7

multiply the second equation by 2:


i)    2x – 3y – 2z = 4
ii)    2x + 6y + 4z = –14

thus 2x=3y+2z+4 from i and 2x=-6y-4z-14 from ii:

3y+2z+4=-6y-4z-14
9y+6z=-18

So we get 2 equations with variables y and z:

a)   5y+3z=-9 
b)   9y+6z=-18

now the aim of the method is clear: We eliminate one of the variables, creating a system of 2 linear equations with 2 variables, which we can solve by any of the standard methods.

Let's use elimination method, multiply the equation a by -2:

a)   -10y-6z=18 
b)   9y+6z=-18
------------------------    add the equations:

-10y+9y-6z+6z=18-18
-y=0
y=0,

thus :
9y+6z=-18 
0+6z=-18
z=-3

Finally to find x, use any of the equations i, ii or iii:

<span>2x – 3y – 2z = 4 
</span>
<span>2x – 3*0 – 2(-3) = 4

2x+6=4

2x=-2

x=-1

Solution: (x, y, z) = (-1, 0, -3 ) 


Remark: it is always a good attitude to check the answer, because often calculations mistakes can be made:

check by substituting x=-1, y=0, z=-3 in each of the 3 equations and see that for these numbers the equalities hold.</span>
3 0
3 years ago
Read 2 more answers
0.909 &gt; 0.91<br>true or false <br>I need an answer and fast​
NeTakaya

Answer:

false

Step-by-step explanation:

0.909 is less than not greater than

3 0
3 years ago
Read 2 more answers
Find the equation of the linear function represented by the table below in the slope-intercept form.
MAXImum [283]

Answer:

y=x-32

Step-by-step explanation:

y=mx+b where m is the slope and b is the y-intercept.

slope=change in y/change in x

=5/5

y=5x+b --> choose a random point

(7,3) ---> 3=5(7)+b=35+b

b= -32

y=x-32

6 0
2 years ago
Read 2 more answers
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