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sesenic [268]
3 years ago
15

The sum of three consecutive integers is 21 larger than twice the smallest integer. find the integers.

Mathematics
1 answer:
Darya [45]3 years ago
7 0
Let the integers be x-1, x, x+1.

Given,

x -1 + x + x + 1 = 21 + 2(x - 1)

3x = 21 + 2x - 2

x = 19

Hence, the three integers are 18, 19 and 20.
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elena55 [62]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Write an equation of the form y = mx for the line shown below. If appropriate,
9966 [12]

Answer:

y = - 0.5x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line

m = \frac{-1-2}{2-(-4)} = \frac{-3}{2+4} = \frac{-3}{6} = - 0.5

The line crosses the y- axis at (0, 0 ) ⇒ c = 0

y = - 0.5x + 0 . that is

y = - 0.5x

6 0
2 years ago
Connor has a collection of dimes and quarters with a total value of $6.30. The number of dimes is 14 more than the number of qua
Anarel [89]

Connor has 14 quarters and 28 dimes.

Step-by-step explanation:

Given,

Worth of coins = $6.30 = 6.30*100 = 630 cents

We know that,

1 quarter = 25 cents

1 dime = 10 cents

Let,

Quarter = x

Dime = y

According to given statement;

25x+10y=630    Eqn 1

The number of dimes is 14 more than the number of quarters

y = x+14    Eqn 2

Putting value of y from Eqn 2 in Eqn 1

25x+10(x+14)=630\\25x+10x+140=630\\35x=630-140\\35x=490

Dividing both sides by 35

\frac{35x}{35}=\frac{490}{35}\\x=14

Putting x=14 in Eqn 2

y=14+14\\y=28

Connor has 14 quarters and 28 dimes.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/4354581
  • brainly.com/question/4361464

#LearnwithBrainly

4 0
3 years ago
The bathroom and the living room in a tiny house share a wall. The area of the bathroom is 36 square feet. The area of the livin
jeka94

Answer:

96square feet

Step-by-step explanation:

Given data

Area of bathroom=36 square feet

Area of living room= 60 square feet

Hence the total area of the Bathroom and the living room combined is

= 36+60

=96square feet

7 0
3 years ago
Suppose that you are in a class of 33 students and it is assumed that approximately 15% of the population is left-handed. (give
AysviL [449]
15% of 33 =

= 15% * 33

= 0.15 * 33

= 4.950 students in that class are left-handed
3 0
3 years ago
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