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djyliett [7]
3 years ago
15

Find three consecutive odd integers such that six times the second decreased by twice the first is equal to twenty more than the

sum of the second and third
Mathematics
1 answer:
Kitty [74]3 years ago
6 0
Let
x--------> the first <span>odd integer
x+2-----> </span>the second odd integer
x+4-----> the third odd integer

we know that
6(x+2)-2x=20+(x+2)+(x+4)
6x+12-2x=26+2x
4x-2x=26-12
2x=14
x=7

the answer is 
the numbers are
7, 9 and 11
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Rudiy27
The answer to your question is 5 1/12
6 0
3 years ago
Marie, Shelia, and Martha bought snacks for a girl's sleepover. They each bought the items shown in the following table at the l
creativ13 [48]

Using a system of equations, it is found that the unit prices are:

  • $2.25 for a bag of chips.
  • $1.50 for a liter of pop.
  • $1.75 for a chocolate bar.

For the system:

  • x is the unit price of a bag of chips.
  • y is the unit price of liter of pop.
  • z is the unit price for a chocolate bar.

From the table, the equations are:

2x + 2y + z = 9.25

3x + 4y + z = 14.50

x + 3y + 3z = 12

Replacing the <u>first equation on the second and the third:</u>

z = 9.25 - 2x - 2y

3x + 4y + z = 14.50

3x + 4y + 9.25 - 2x - 2y = 14.50

x + 2y = 5.25

x = 5.25 - 2y

x + 3y + 3z = 12

x + 3y + 3(9.25 - 2x - 2y) = 12

-5x - 3y = -15.75

5x + 3y = 15.75

Since x = 5.25 - 2y:

5(5.25 - 2y) + 3y = 15.75

-7y = -10.5

y = \frac{10.5}{7}

y = 1.5

Then:

x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25

z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75

The unit prices are:

  • $2.25 for a bag of chips.
  • $1.50 for a liter of pop.
  • $1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

4 0
3 years ago
Can you please help me with this question please and i will give you a Brainiest right
kirill [66]

Answer:

135 grams

Step-by-step explanation:

you want to find the mass of only the grapes, not including the bowl. so in this case, you would subtract the mass of the bowl from the total mass. you do this because you dont need the mass of the bowl. 256g - 121g = 135g :)

4 0
3 years ago
Please help! Thank you
Alex_Xolod [135]
Find the future value
A=p (1+r/k)^kt
A=3,200×(1+0.024÷4)^(4×15)
A=4,581.72
interest earned
4,581.72−3,200
=1,381.72
7 0
3 years ago
Read 2 more answers
Find y in the line through (4,y) and (7,2) has a slope of 6
Alenkasestr [34]

Answer:

The value of y is -16.

Step-by-step explanation:

To find the missing coordinate, we can use the slope equation and plug in all known values.

m(slope) = (y2 - y1)/(x2 - x1)

6 = (y - 2)/(4 - 7)

6 = (y - 2)/-3

Now we can solve using cross multiplication.

y - 2 = -3*6

y - 2 = -18

y = -16

8 0
3 years ago
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