What's 3/4x=1/8? because i don't know

Answers

Answer 1

Answer: ok so it could be 2 things
(3/4)x=1/8 or
3/(4x)=1/8

if it is (3/4)x=1/8, go to AAAAAAAAAAAAA

if it is 3/(4x)=1/8 go to BBBBBBBBBBBB

AAAAAAAAAAAAA
(3/4)x=1/8
multiply both sides by 4/3 to clear fraction ( since 3/4 times 4/3=12/12=1)
1x=4/24
x=1/6

BBBBBBBBB
3/(4x)=1/8
multiply both sides by 4x
3=(4x)/8
multiply both sides by 8
24=4x
divide bohs ides by 4
6=x

if it is (3/4)x=1/8, then x=1/6
if it is 3/(4x)=1/8, then x=6

Answer 2

Answer: To get the answer, you have to isolate x by multiplying by the reciprocal of the coefficient:
$(3)/(4)x= (1)/(8) \n (4)/(3) ( (3)/(4)x)= ((1)/(8) )( (4)/(3)) \n (12)/(12)x= (4)/(24) \n x = (1)/(6)$

The answer is x = 1/6.

Hope this helps!

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425 is decreased to 319

Answers

425 is decreased to 319.

"Decreased to" and "decreased by" have different meaning.
"decreased to" means that the number given after the phrase is the difference in the subtraction.
"decreased by" means that the number given after the phrase is the number deducted from the other number to get the difference.

319 is the difference. We need to get the number to be deducted from 425.

425 - x = 319
425 - 319 = x
106 = x

to check:
425 - 106 = 319
319 = 319

two high speed trains are 480 miles apart and traveling towards each other. they meet in 3 hours. if one trains speed is 5 miles per hour faster than the other, find the speed of each train

Answers

Answer:

77.5 mph and 82.5 mph

Step-by-step explanation:

Let's say the speeds of the trains are x and x + 5.

The combined distance traveled by the trains is 480 miles.

480 = x × 3 + (x + 5) × 3

480 = 3x + 3x + 15

480 = 6x + 15

465 = 6x

x = 77.5

The speeds of the trains are 77.5 mph and 82.5 mph.

We can model the problem as follows: on a number line we put train A, with positive speed $v_A$ , at the origin x=0.

At x=480 we put train B, with negative speed $v_B$ .

So, the equations for the positions of the two trains are

$\begin{cases}x_A = v_At\nx_B=480-v_Bt\end{cases}$

We know that $v_A=v_B+5$ , so we can rewrite the first equation:

$\begin{cases}x_A = (v_B+5)t\nx_B=480-v_Bt\end{cases}$

The two trains meet when they are at the same position:

$x_A=x_B \iff (v_B+5)t=480-v_Bt$

We know that this happens after 3 hours, i.e. when t=3:

$3(v_B+5)=480-3v_B \iff 3v_B+15=480-3v_B \iff 6v_B = 465 \iff v_B=77.5$

And since train A was 5 mph faster, we have

$v_A=77.5+5=82.5$

according to Interstate Highway Standards, U.S. and state highway traffic lanes must be at least 12 feet wide. Write an inequality to represent the widths that traffic lanes can be.

Answers

So,

"at least" means that is the minimum acceptable amount. So we will use the "greater than or equal to" symbol.

Let "w" represent the width of the traffic lane.

w ≥ 12 ft.

Zoe's bag of fruit snacks contains 12 pieces. The table shows the flavors of the fruit snacks in the bag.Flavor
Number of Pieces
Strawberry
Pineapple
Orange
Grape
What is the theoretical probability that Zoe will choose an orange flavored piece from the bag?

Answers

Answer:

fahsjdnc îți was daad

Step-by-step explanation:

sakaqlllm

Terrence is folding paper cranes at a constant rate. The table below shows the amount of time he needs to fold cranes.Number of cranes Total time (minutes)
555 17.517.517, point, 5
888 282828
121212 424242
Write an equation to describe the relationship between ccc, the number of cranes, and ttt, the total time in minutes.

Answers

Answer:

t = 3.5c

Step-by-step explanation:

The correct table is attached in the image below. Since the papers are being folded at a constant rate, there is a linear relationship between c, the number of crane and t, the total time in minutes.

We can find the equation of this linear relation using any two pair of points from the table. Using the first two points: (5, 17.5) and (8, 28)

First we need to find the slope of the line which gives the relation between the two variables.

$Slope=\frac{\text{Difference in y coordinates}}{\text{Difference in x coordinates}}$

y coordinates represents the dependent variable which is the time in this case and x coordinates represents the independent variable which is number of cranes in this case. Using the values from the two points we considered:

$Slope=(28-17.5)/(8-5)=3.5$

Thus, the equation of the line will be of the form:

t = mc + b

m is the slope here. Using its values, we get:

t = 3.5c + b

b is known as y-intercept. We need the value of b to complete the equation. Substituting the value of t and c from any pair we can find the value of b.

Using the point (5, 17.5), we get:

17.5 = 3.5(5) + b

b = 0

This means, the equation of the line would be:

t = 3.5c

Answer:

t=3.5c

Step-by-step explanation:

Geometric series definition?!?