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2 years ago

The expression -50 + 100 represents the balance, in dollars, of the banks account after x months.

Mathematics

1 answer:

Troyanec [42]2 years ago

3 0

Answer:

maybe I think the answer is 50

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The cost of six hens and one duck at the university poultry farm is GH₵40. While four hens and three ducks cost GH₵36. What is t

Anon25 [30]

Answer:

Step-by-step explanation:

Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.

The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.

The system is

6h + 1d = 40

4h + 3d = 36

The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,

1d = 40 - 6h.

Now that we know what d equals, we can sub it into the second equation where we see a d. In order,

4h + 3d = 36 becomes

4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!

4h + 120 - 18h = 36 and

-14h = -84 so

h = 6.

That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:

1d = 40 - 6(6) and

d = 40 - 36 so

d = 4.

That means that each duck costs $4.

3 0

3 years ago

What is the slope of the equation below? 2y = 10x – 8 A.2 B.-8 C.10 D.5

blondinia [14]

Answer:

D) 5

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Divide 2 from all terms within the equation:

(2y)/2 = (10x - 8)/2

y = (10x)/2 - (8)/2

y = 5x - 4

Note the slope-intercept form:

y = mx + b

y = y

x = x

m = slope

b = y-intercept.

In this case, 5 is in place of m, or your slope.

D) 5 is your answer.

8 0

2 years ago

Read 2 more answers

Five times a number is the same as 30 more than 8 times the number. Find the number.

allsm [11]

5x = 8x+30

5x-8x+30 = 0

-3x=-30

x=-10

5 0

2 years ago

Graph the system of equations. {x−y=64x+y=4

Fantom [35]

X-y=6 Equation 1
x+y=4 Equation 2

To graph the given system of equation, first find x and y-intercept of each equation.
x-y=6
When y=0
x=6 Point is (6,0)
When x=0
-y=6
y=-6 Point is (0,-6)

Now x-intercept and y-intercept for equation 2.
x+y=4
When x=0
y=4 Point is (0,4)
When y=0
x=4 Point is (4,0)

Now plot these points on the graph, the lines intersect each other at point (5,-1), which is the solution of the given system.

Answer: (5,-1)