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3 years ago

The answer and steps for this question

Mathematics

2 answers:

Delicious77 [7]3 years ago

7 0

What u do is put the top x equation into the bottom equation. So it would be 5•3y-1-7y=19. Next it would be 15y-7y-1=19. After that it would be 8y-1=19
After you would add 1 to both sides
8y=20
Y=2.5

melamori03 [73]3 years ago

6 0

I will solve your system by substitution.x=3y−1;5x−7y=19Step: Solvex=3y−1for x:Step: Substitute3y−1forxin5x−7y=19:5x−7y=195(3y−1)−7y=198y−5=19(Simplify both sides of the equation)8y−5+5=19+5(Add 5 to both sides)

8y=248y8=248(Divide both sides by 8)y=3Step: Substitute3foryinx=3y−1:x=3y−1x=(3)(3)−1x=8(Simplify both sides of the equation)

x=8 and y=3

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sandy found seashells and 119 starfish on the beach she gave 225 of the seashells to fred how many seashells does sandy niw have

Nutka1998 [239]

Answer:

114?? Ummm I confused that's it......

8 0

3 years ago

The values of x and y are proportional. Determine the constant of proportionality(k)

Studentka2010 [4]

<h3>The constant of proportionality is k = 5</h3>

For direct proportion equations, you divide the y value over its corresponding x value to get the value of k.

For example, the point (x,y) = (2,10) is on the diagonal line. So k = y/x = 10/2 = 5.

Another example: the point (x,y) = (6, 30) is also on the same diagonal line, so k = y/x = 30/6 = 5 is the same result as before.

You can use any point on the diagonal line as long as it is not (0,0). This is because division by zero is not allowed.

side note: the direct proportion equation y = k*x becomes y = 5*x which is the graph of that diagonal line. The slope is m = 5, the y intercept is b = 0. All direct proportion graphs go through the origin as shown in the diagram.

3 0

4 years ago

A librarian has a set of ten different books, including four different books about Abraham Lincoln. The librarian wants to put t

Darya [45]

Answer:

120960

Step-by-step explanation:

Given that a librarian has a set of ten different books, including four different books about Abraham Lincoln.

The librarian wants to put the ten books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other six different books.

First arrnage the 6 other books in the shelf.

This can be done in $6! ways$

Now arrange the 4 books of Lincoln

This can be done in $4! ways$

Now we have 7 places to insert Lincoln books including two corners and in between.

Thus this can be done in 7 ways

Total no of ways = $6!(4!)(7) = 120960$

3 0

3 years ago

How do you graph -1/5x-1 and 4/5x-6

kakasveta [241]

Answer:

The points for the given to linear equations is (5 , - 2) and (5 , - 1)

The points is plotted on the graph shown .

Step-by-step explanation:

Given as :

The two linear equation are

y = $\dfrac{-1}{5}$ x - 1 ...........1

y = $\dfrac{4}{5}$ x - 6 ...........2

Now, Solving both the linear equations

Put the value of y from eq 2 into eq 1

I.e $\dfrac{4}{5}$ x - 6 = $\dfrac{-1}{5}$ x - 1

Or, $\dfrac{4}{5}$ x + $\dfrac{1}{5}$ x = 6 - 1

Or, $\dfrac{4 + 1}{5}$ x = 5

or, $\dfrac{5}{5}$ x = 5

∴ x = 5

Now, Put the value of x in eq 1

So, y = $\dfrac{-1}{5}$ x - 1

Or, y = $\dfrac{-1}{5}$ × 5 - 1

or, y = $\dfrac{-5}{5}$ - 1

Or, y = - 1 - 1

I.e y = -2

So, For x = 5 , y = - 2

Point is ( $x_1$ , $y_1$ ) = (5 , - 2)

Again , put the value of x in eq 2

So, y = $\dfrac{4}{5}$ x - 6

Or, y = $\dfrac{4}{5}$ × 5 - 6

Or, y = $\frac{4\times 5}{5}$ - 6

Or, y = 4 - 6

I.e y = - 2

So, For x = 5 , y = - 2

Point is ( $x_2$ , $y_2$ ) = (5 , - 2)

Hence, The points for the given to linear equations is (5 , - 2) and (5 , - 2)

The points is plotted on the graph shown . Answer

5 0

4 years ago

Two boys decided to buy a computer. The second boy had 5/6 of the money the first had. The first boy had 7/8 of the price of the

UNO [17]

Answer:

The price of the computer is $1,152

Step-by-step explanation:

Let the price of the computer be $x

The first boy boy had 7/8 of this amount, the amount he has is thus 7/8 × $x = 7x/8

The second boy had 5/6 of what the first boy had. The amount of money he has is thus 5/6 × 7x/8 = 35x/48

Now, the addition of what they have is $696 more than what they need to pay. This amount is x+ 696

Mathematically, this can be represented as;

7x/8 + 35x/48 = x + 696

(42x + 35x)/48 = (x + 696)

77x/48 = (x + 696)

77x = 48(x + 696)

77x = 48x + 33408

77x - 48x = 33408

29x = 33, 408

x = 33,408/29

x = $1,152

7 0

3 years ago