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Setler79 [48]
3 years ago
7

How to solve the system of 4x+2y-5z=47

Mathematics
2 answers:
MrRa [10]3 years ago
6 0
The answer is x=47/4-y/2+5z/4
sergij07 [2.7K]3 years ago
3 0
Are you looking for x,y, or z
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anyanavicka [17]
2 x 2 7/8 = 5 3/4 hope it helps

6 0
3 years ago
Read 2 more answers
15points+brainliest!! please help this is due tonight please need it asap!!
Agata [3.3K]

Answer:

1) B   15.81

2) D  (-12,0)

8 0
3 years ago
Thomas needs to buy a cardboard sheet that will allow him to make his 224 in 3 box. To help construct the box, he decided to cut
Slav-nsk [51]

Answer:

Part 1; The volume of the box Thomas wants to make is 224 = 2·w² + 12·w

Part 2; The zeros for the equation of the function, are w = -14, or w = 8

Part 3

The width of the box is 8 inch

The length of the box, is 14 inches

The height of the box, is given as 2 inches

Part 4

Please find attached the graph of the function

Step-by-step explanation:

Part 1

The volume of the box Thomas wants to make, V = 224 in.³

The dimensions he cuts out from the length and width = 2 in² each

The length of the box = 6 inches + The width of the box

Let <em>l</em> represent the length of the box and let <em>w</em> represent the width of the box, we have;

l = 6 + w

The height of the box, h = The length of the cut out square = 2 inches

The volume of the box, V = Length, l × Width, w × Height, h

∴ V = l × w × h

l = 6 + w, h = 2

∴ V = (6 + w) × w × 2

V = 2·w² + 12·w,

The equation of the volume of the box, V = 2·w² + 12·w, where, V = 224

∴ 224 = 2·w² + 12·w

Part 2

The zeros of the equation for the volume of the box, V = 2·w² + 12·w, where, V = 224 are found as follows;

V = 224 = 2·w² + 12·w

∴ 2·w² + 12·w - 224 = 0

Dividing by 2 gives;

(2·w² + 12·w - 224)/2 = w² + 6·w - 112 = 0

∴ (w + 14) × (w - 8) = 0

The zeros for the equation of the function, are w = -14, or w = 8

Part 3

We reject the value, w = -14, therefore, the width of the box, w = 8 inch

The length of the box, l = 6 + w

∴ l = 6 + 8 = 14

The length of the box, l = 8 inches

The height of the box, <em>h</em>, is given as h = 2 inches

Part 4

The graph of the function created with MS Excel is attached

4 0
3 years ago
Olivia takes a trip to visit her aunt who lives 120 mi. away. Olivia's car can travel 24 miles per gallon of gasoline. If gasoli
Paladinen [302]

Answer:

$15

Step-by-step explanation:

Given that :

Aunt's distance = 120 miles

Miles per gallon of Olivia's car = 24 miles per gallon

Cost of gasoline = 3 per gallon

Cost of gasoline for the trip :

(Aunt's distance / miles per gallon) * cost of gasoline per gallon

(120 miles / 24 miles per gallon) * 3

5 * 3 = $15

Cost of gasoline for the trip = $15

8 0
2 years ago
this is the rust of the questions please please some one helps me because I really try my best to solve it . thank you ​
lyudmila [28]

Answer:

x = 24.

r $ \ne $ 0.

Step-by-step explanation:

2. The given equation is:

$ \frac{1}{2} (x - 4) = \frac{1}{3} x + 2 $

a) To eliminate the fractions multiply the equation throughout by the LCM of the denominators of the fraction. In this case, the LCM of (2, 3). The LCM is 6. So, multiply the entire equation by 6.

b) Half of the difference between an integer and 4 equals the sum of one - third of the integer and 2. Find the integer.

c) We have the equation:

$ \frac{1}{2} (x - 4) = \frac{1}{3} x + 2 $

Multiplying throughout by 6, we get:

$ \frac{6}{2}(x - 4) = \frac{6}{3} x + 6(2) $

$ \implies 3(x - 4) = 2x + 12 $

$ \implies 3x - 12 = 2x + 12 $

$ \implies x = 24 $

Therefore, the solution of the equation is 24.

3. The given equation is: $ ry + s = tx - m $

To solve for y:

We can rearrange the equation as:

$ ry = tx - m - s $

$ \implies y = \frac{tx - m - s}{r} $

or, $ y = \frac{tx - (m + s)}{r} $

Note that we have to impose a condition on variable $ r $. It would be that $ r $ can never be zero. i.e., $ r \ne 0 $. Otherwise, the value of $ y $ would be undefined.

4 0
3 years ago
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