Solve the proportion t/16 = 40/50

Answers

Answer 1
Answer:

The required simplified value of the t in the given proportion is given as t = 48.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given the expression of proportion,
t/16 = 40 / 50
t / 60 = 4 / 5

Multiply both sides by 60,
t / 60 × 60 = 4 / 5 × 60
t = 4 × 12
t = 48

Thus, the required simplified value of the t in the given proportion is given as t = 48.

Learn more about simplification here:

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Answer 2
Answer: Cross multiply and you get 
50t = 40 x 16
50t = 640
t = 640/50
t = 12.8

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Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?

Answers

Hi There! :)

Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?

x = log 64 / log 4

Rico thinks of a number between 30 and 40 that is represented by x
.

This number,
x
, is
3
_
4
of another number, which is represented by
y
.

The number represented by
y
equals
1
_
3
of another number, which is
represented by
z
.

The number represented by
z
is a number from 140 to 151.

The numbers represented by
x
,
y
, and
z
are whole numbers.
(a)
What are the values for
x
,
y
, and
z
?

Answers

Hello,

x,y,z∈ IN

x=(3)/(4)*y
y=(1)/(3)*z

140<z<151\ ==>\ (140)/(3)<(z)/(3)<(151)/(3)
46\leq\ y\ \leq\ 50 ==>\ (46*3)/(4)\leq(3y)/(4)\leq(50*3)/(4)
35\ \leq\ z\ \leq\ 37==>
 x∈{35,36,37}
 y∈{47,48,49}
 z∈{141,144,147}

We must go futher:

if x=35 then y=4*35/3=46.666 not good , not whole
if x=36 then y=4*36/3=48 ok
if x=37 then y=37*4/3=49.333.. not good

So there is only one solution (36,48,144) for (x,y,z)

No problem with z for z=3/1*4/3*x=4x ==>whole.









Give the coordinates for point A without using any new variables

Answers

7.\nA(n+1;\ m)\n\n8.\nA(k;\ 0)

Answer:

C-a, b

Step-by-step explanation:


The graph of y=4x-11 is translated up 8 units. Which equation represents the translated graph?

Answers

It would be y=4x-3 because -11 show that it went down 11 units. So if it is going to go up 8 units, -11+8 is -3.

A truck is rented at $40 per day plus a charge per mile of use. The truck traveled 15 miles in one day, and the total charge was $115. Which equation can be used to find the charge x, in dollars, per mile traveled?

Answers

I believe you are missing some of the question but heres what I think it is I think it is going to be 40+x=115 then solve from there

5x+15=90 what do the x equal

Answers

5x+15=90
5x=90-15
5x=75
x=15
5x+15=90\n5x=75\nx=15