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3 years ago

Which equation can compare with 3X plus 4Y equals eight to create a consistent and independent system

Mathematics

1 answer:

Scilla [17]3 years ago

3 0

Answer:

A consistent and independent system is any equation that only has one solution. So an another equation that can compare with this to create one solution is an equation that is perpendicular. The slope will be opposite and reciprocal.

This is the first equation in standard form: 3x + 4y = 8

Point-slope form is: y = -3/4x + 2

The second equation in standard form: y = 4/3x + 2

Point-slope form is: -4x + 3y = 6

As you can see, the slopes are opposite and reciprocal, which creates two perpendicular lines when graphed. You can graph these two lines, and see that they have one solution.

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Elise and her dad are planning to attend the state fair. An adult ticket is $21.00. The price of an adult ticket is $10.00 more

solong [7]

Answer:

C. two thirds x + 10 = 21

Step-by-step explanation:

Given

Price of adult ticket = $21.00

Let x be the price of student ticket

Then

two third of the student ticket will be:

$\frac{2}{3} x$

The statement $10.00 more than two third of student ticket:

$\frac{2}{3} x+10$

As we are given in the question that the adult ticket price is $21.00 and the second explanation is th equation formed by the given statement

So, both will be equivalent

$\frac{2}{3} x+10 = 21$

Solving this equation for x will give us the price for the student ticket.

Hence,

C. two thirdsx + 10 = 21 is the correct answer ..

3 0

3 years ago

Rewrite the expressions below by completing the square 2 + 4+ 1

Lady bird [3.3K]

STEP BY STEP EXPLANATION
(Mark brainliest pls)

Square root is 2 square + 4 square + 1 because 1 does not enable a square perhaps for negatives to be imputed, and we know 2 square will be 1 hence,

1 x 1 = 1 squared
2 x 2 = 4 squared
Perhaps for 1, you will have to use a formula equation and add tang maybe. Etc I don’t know if tang but u will also have to convert 1 to a decimal to find the square root of 1, 1 is an odd number so it will end up with remainder decimals or just do 1x1, etc.

Hence u

(2 square + 4 square) + 1square?

It depends on addition or order of operations subtraction addition or you will might use multiply
if the subject is about multiply or Division so try and do it because i don’t know if I’m right

..

REMEMBER

PEMDAS

Please Excuse My Dear Aunt Sally

Parentheses
Equations
Multiplication
Division
Addition
Subtraction

ORDER OF OPERATIONS.

try and solve it hope this helps!
Have a nice day

8 0

2 years ago

The table shows the number of bases stolen by a baseball player during several games over a season. A 2-column table with 5 rows

Zolol [24]

Answer:

its 1

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A boat crew rowed 10.5 miles downstream, with the current, in 1.5 hours. the return trip upstream , against the current , covere

alukav5142 [94]

Answer:

The speed of the boat is 5 miles per hours

The speed of the current is 2 miles per hours .

Step-by-step explanation:

Given as :

The distance cover by boat downstream = D = 10.5 miles

The time taken by boat to cover D distance = T = 1.5 hours

The distance cover by boat Upstream = d = 10.5 miles

The time taken by boat to cover d distance = t = 3.5 hours

Let The speed of boat = x mph

Let The speed of current = mph

Now, According to question

∵ Speed = $\dfrac{Distance}{Time}$

For Downstream

x + y = $\dfrac{D}{T}$

Or, x + y = $\dfrac{10.5}{1.5}$

Or, x + y = 7 .......A

For Upstream

x - y = $\dfrac{d}{t}$

Or, x - y = $\dfrac{10.5}{3.5}$

Or, x - y = 3 .......B

Now, Solving eq A and eq B

So, (x + y) + (x - y) = 7 + 3

Or, (x + x) + (y - y) = 10

Or, 2 x + 0 = 10

∴ x = $\dfrac{10}{2}$

i.e x = 5 mph

So, The speed of the boat = x = 5 miles per hours

Put the value of x into eq A

∵ x + y = 7

Or, 5 + y = 7

∴ y = 7 - 5

i.e y = 2 mph

So, The speed of the current = y = 2 miles per hours

Hence, The speed of the boat is 5 miles per hours and The speed of the current is 2 miles per hours . Answer

7 0

3 years ago

The left and right page numbers of an open book are two consecutive integers whose sum is 321

PIT_PIT [208]

Answer:

160,160

Step-by-step explanation:

let the first page be X

second one be x+1

x+x+1=321

2x=320

x= 320÷2=160

pages 160 161

6 0

3 years ago