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Andrei [34K]
3 years ago
14

If the product of two consecutive integers is 156 what type of equation do you create to solve this problem

Mathematics
2 answers:
anastassius [24]3 years ago
8 0
N + (n+1) = 156
2n + 1 = 156
2n = 156 - 1 = 155
2n = 155
n = 155/2
n = 77 r1
answer is
n = 77
n + 1 = 78
zhenek [66]3 years ago
6 0
I'm not sure, but I knew that 12×12=144 so I guessed that it was 12×13 and checked what that was and it was 156, so I guess and check probably
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Question -3+13x=9.
aalyn [17]

Answer:

-3+13x=9.

13x=9+3

13x=12

x=12/13

i proved it by putting value of x in reactant side you get product .

-3+13×12/13=9

5 0
2 years ago
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Calculate the rate of change from the graph below
qaws [65]

Answer:

The rate of change is 0.75 gallons per minute

Step-by-step explanation:

The rate of change of the linear relation is represented by the slope of the line which represents this relation

The rule of the slope of a line is

m = Δy/Δx, where

  • Δy is the vertical change
  • Δx is the horizontal change

From the given graph

∵ The line passes through points (0, 0) and (4, 3)

∴ Δx = 4 - 0 = 4

∴ Δy = 3 - 0 = 3

→ Use the rule of the slope above to find the slope of the line

∴ m = \frac{3}{4} = 0.75

∵ The x-axis represents the time in minutes

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7 0
3 years ago
A 50-gallon tank is filled with a 40% ethanol solution. How much solution should be drained but and replaced with an 80% ethanol
DIA [1.3K]

How do you create your equations when working on a mixture word problem?

Let's try to think about the general form of a word problem involving mixtures.

In general, we have the following scenario:

a merchant sells two kinds of products (coffee, sweets, etc).

we know the unit prices for both kinds of products and for the final mixture

p

1

US dollars per pound for the first kind of product,

p

2

US dollars per pound for the second kind of product

p

m

US dollars per pound for the mixture

we know the total quantity formed by the mixture of the two products (

q

pounds)

we have to find out the quantities of each product needed to form the mixture

(here we have the variables:

x

denoting the quantity of the first kind of product and

y

denoting the quantity of the second kind of product)

Now, we have sufficient information to work out the equations.

First, we know that the sum of the two quantities is

q

pounds, which gives us the first equation:

x

+

y

=

q

Second, we know that the sale price is the product of quantity and unit price, which gives us the second equation:

p

1

x

+

p

2

y

=

p

m

⋅

q

Now, we have a system of two linear equations that can be easily solved by substitution.

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2 years ago
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erastovalidia [21]
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