Find the value of t in the equation t+5+3t=1

Answers

Answer 1

Answer: $t+5+3t=1\nt+3t+5=1\n4t+5=1\n4t+5-5=1-5\n4t=1-5\n4t =-4\n\n\boxed{\bf{t=-1}}$

Answer 2

Answer: First combine like terms. 1t+3t=4t
5+4t=1
Now subtract 5 from both sides.
4t=-4
Now divide both sides by 4.
t=-1
To check, let's plug in -1 for t.
-1+5+3*-1=
3*-1=-3
-1+5+-3=1
t=-1

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There are 4 quarts in 1 gallon. How many quarts are on 3 gallons?

Answers

Knowing that there are 4 quarts in one gallon, you can use this information to set up a proportion to find how many quarts are in 3 gallons. When you set up this proportion, you should get this where x is the amount of quarts:

4/1=x/3

Then, to solve for x, or your number of gallons, cross multiply:

1*x=4*3

When simplified, you should get that x=12, or that there are 12 quarts in 3 gallons :)

Final answer:

By multiplying the number of gallons by 4, we find that there are 12 quarts in 3 gallons.

Explanation:

The problem is asking how many quarts are in 3 gallons. Since there are 4 quarts in 1 gallon, you can simply multiply the number of gallons by 4 to find out how many quarts are in 3 gallons.

So, in calculation, 3 gallons * 4 quarts/gallon = 12 quarts. Therefore, there are 12 quarts in 3 gallons.

Learn more about Conversion here:

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Identify the solution to the system of equations

Answers

Answer:

(-2, -1).

Step-by-step explanation:

When trying to find the solution to a system of equations graphically, all you need to do is find the point of intersection between the two equations.

In the graph pictured, we can see that the two equations intersect at (-2,-1).

If there are 12 people sitting at a round table , how many different pairs of people can have conversations during dinner, assuming the can all talk to each other? What geometric figure can you use t model this situation?

Answers

Answer:

Step-by-step explanation:

Given that there are 12 people sitting around at a table.

We see that any two persons can have conversations. If we count A with B as one conversation this is the same as B with A

i.e. order does not matter

So here we have to use combinations.

2 people out of 12 where order does not matter can be done in 12C2 ways

No of conversations = $12C2\n= (12!)/(2!10!) \n=66$

If we use a dodedecon as a geometrical figure with 12 vertices representing 12 persons the conversation between pairs can be associated with all diagonals and sides connecting two vertices.

Sides are 12 and diagonals are 54 totalling 66.

66 different pairs. Use a dodecagon showing sides and angles

The expression 4x gives the perimeter of a square with a side length of x units.What is the perimeter of a square with a side length of 5/7 units?

Answers

Answer:

The perimeter is $(20)/(7)$ units.

Step-by-step explanation:

The expression $4x$ gives the perimeter of a square with a side length of x units.

So the function would be,

$f(x)=4x$

where,

f(x) is the function which gives the perimeter of the square, x as the side length.

As have to find the perimeter of a square with side length as $(5)/(7)$ , so we have to put x as $(5)/(7)$ in the function.

Hence, the perimeter will be,

$f((5)/(7))=4((5)/(7))=(20)/(7)$ units

$4x$ where $x = 5/7$

$=4 * 5/7$

$= 20/7$

$= 14/7 + 6/7$

$= 2$ $6/7$

PLEASE ANSWER FAST!
Find BDC.
BDC=

Answers

Step-by-step explanation:

<NDC=<NCD (Given)

<NCD=35°.

<CAN=<DBN (Given)

<DBN=50°.

therefore, <CND = 180-35-35=110.

and <CND and <DNB are linear pair.

<CND+<DNB=180°

<DNB=180-110

<DNB=70.

therefore, <BDN = 180-50-70 = 60.

therefore, <BDC= 35°+60°=95°.

hope this helps you.

Answer:

angle BDC= 95°............

PLZ HEL P ME !!The question is based on the following circle graph. The graph represents the results of a survey in which 400 people were asked to identify the TV channel on which they preferred to watch the evening news.
WKOD 13%
WANR 22%
WCLM 24%
WWCN 41%
write a ratio to express the number of people who preferred WANR to those who preferred WCLM
A. 11 : 12
B. 23 : 100
C. 46 : 100
D. 3 : 50