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4 years ago

15

Use algebraic rules of equations to predict the solution to the system of equations. include all of your work for full credit. x

y = -4y = 2x - 1

1 answer:

expeople1 [14]4 years ago

6 0

Equation x y = -4y implies x=-4
Replacing the value of x in the following equation:
-4y = 2(-4)-1 implies y = 9/4 = 2.25

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4 2/5+k=−3 2/11 solve the equation

Paha777 [63]

42/5+k=-32/11
8.4+k=-2.9
k=-2.9-8.4
=-11.3

7 0

3 years ago

Dorian is spreading mulch on his triangular flowerbed. If the base is 8 feet and the height is 6 feet. How many square feet of m

katovenus [111]

Answer:

24 square feet

Step-by-step explanation:

Given:

Dorian is spreading mulch on his triangular flowerbed.

The base is 8 feet.

The height is 6 feet.

Question asked:

How many square feet of mulch will he need for the flowerbed?

Solution:

The base of triangular flowerbed = 8 feet.

The height of triangular flowerbed = 6 feet.

now, to find how many square feet of mulch he will need for the flowerbed, we will find area of the triangular flowerbed:-

As we know:

$Area\ of\ triangle=\frac{1}{2} \times base\times height$

$=\frac{1}{2} \times8\times6\\\\ =\frac{48}{2} \\ \\ =24\ square\ feet$

Thus, 24 square feet of mulch he will need for the flowerbed.

8 0

3 years ago

Find the value of (x + 1) in this equation.<br><br> 13(6x − 5) − x = 13 − 2(x + 1)

Mandarinka [93]

Answer: The value of x is 155/79.

Step-by-step explanation:

13(6x -5 )-x= 13 -2(x +1)

78x - 65- x = 13 -2x -2

77x -65 = 11-2x

79x -65 =11

79x =76

x = 76/79 76/ 79 + 1/1 = 155/79

4 0

3 years ago

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed

natka813 [3]

Production cost = one time cost + variable costs

Let the number of published books for equal production costs be n.

Using the first method:
production cost = 18,853 + 19.75n
Using the second method:
production cost = 64,853 + 8.25n

Now, we need the two production costs to be equal:
18,853 + 19.75n = 64,853 + 8.25n

Solve for n as follows:
18,853 + 19.75n = 64,853 + 8.25n
19.75n - 8.25n = 64,853 - 18,853
11.5n = 46000
n = 46000/11.5
n = 4000 books

6 0

3 years ago

John puts the base of a 13 foot ladder 4 feet from the wall of his house. How far up the wall does the ladder reach? Round your

antiseptic1488 [7]

Answer:

12.04 feet

Step-by-step explanation:

Applying Pythagoras theorem,

$a^{2}= b^{2} + c^{2}$

$13^{2} =4^{2} + c^{2}$

$c^{2} = 145$

c= $\sqrt{145}$

c=12.04

7 0

3 years ago