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patriot [66]
3 years ago
10

The sum of two consecutive integers is –49. Write an equation that models this situation and find the values of the two integers

.
Mathematics
1 answer:
MaRussiya [10]3 years ago
3 0

Answer:

x + x +1 = -49

2x + 1 = -49

2x +1 -1 = -49 -1

2x = -50

x = -25

x + 1 = -24

Check -25 + -24 = -49

Step-by-step explanation:

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If one pound is the same weight as 16 ounces, how many ounces equal 3.5 pounds? (Only input whole numbers)
siniylev [52]

Answer:

56

Step-by-step explanation:

16 x 3 = 48

Half of 16 is 8

48 + 8 = 56

4 0
3 years ago
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Which statement best describes the expression 3 + 2 ÷ y? (1 point) The quotient of y and the sum of 3 and 2 The quotient of the
Gelneren [198K]

Answer:

The sum of 3 and the quotient of y and 2.

Step-by-step explanation:

4 0
4 years ago
Consider the functions shown on the graph.
Daniel [21]

Answer:

The best approximation for the input value when f(x) = g(x) is x = 1.5.

Step-by-step explanation:

The function f(x) passes through the points (-3,1) and (0,1) and the point (1.5,1).

Therefore, the line has equation y = 1.

Now, the function g(x) passes through the points (0,-1), (1.5,1) and (3,3) points.

Therefore, the function g(x) crosses the line y = 1 at the point (1.5,1).

Hence, the best approximation for the input value when f(x) = g(x) is x = 1.5. (Answer)

6 0
3 years ago
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Solve each system using Substitution.
spayn [35]
4. y=4x-7 ---- first equation
y=2x+9 ---- second equation

substitude first equation into second equation

4x- 7 = 2x + 9
2x = 16
x = 8 --- third equation

substitude third equation into first equation

y = 4(8) - 7
y = 25


5. 8x+2y=-2 ---- second equation
y=-5x+1 ---- first equation

substitude first equation into second equation

8x + 2(-5x+1) = - 2
8x - 10x + 2 = - 2
2x = 4
x = 2 ---- third equation

substitude third equation into first equation

y = - 5(2) + 1
y = - 9

6. y+2x=-1 ---- second equation
y-3x=-16
y = 3x - 16 ---- first equation

substitude first equation into second equation

3x - 16 + 2x = - 1
5x = 15
x = 3 --- third equation

substitude third equation into first equation

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7 0
3 years ago
A merchandise vendor at a sports arena is given a large uncounted pile of hats and shirts to sell at a game. Hats cost $15.00 ea
romanna [79]

Answer:  35

Step-by-step explanation:

Let x be the number of hats and y be the number of shirts.

Cost of each hat = $15

Cost of x hat = 15x

Cost of each shirt = $14

Cost of y shirt = 14y

Total shirt sold = 72

Combined selling price = $1,043.00

According to the given question , we have the following system of equations :

x+y=72-------------(1)\\\\ 15x+14y=1043----------------(2)

Multiply 14 on both sides of equation (1) ,we get

14x+14y=1008----------(3)

Eliminate equation (3) from equation (2) , we get

x=35

Hence, he sold 35 hats.

3 0
4 years ago
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