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3 years ago

the sum of three consecutive integers is 132. what are the three integers? write an equation to model the problem. then solve

Mathematics

1 answer:

Tamiku [17]3 years ago

7 0

Answer:

The three consecutive integers are 42,44 and 46

Step-by-step explanation:

n-2 n and n+2. n=44

(X) + (X + 1) + (X + 2) = 132

X + X + 1 + X + 2 = 132

3X + 3 = 132

3X + 3 - 3 = 132 - 3

3X = 129

3X/3 = 129/3

X = 43

43 + 44 + 45 = 132

You might be interested in

Two lines interesting at a right angle

schepotkina [342]

Answer:

Perpendicular lines are lines that intersect at right angles.

Step-by-step explanation:

I'm assuming that your question is asking what the term is for two lines that intersect at a right angle. If I'm correct then your answer is perpendicular lines.

Hope this helps

7 0

3 years ago

In 1980, the average monthly rate for basic able TV in the United States was

poizon [28]

The average rate of change in the monthly rate per year is -$0.056 i.e decreases by 0.056 every consecutive year.

Step-by-step explanation:

Step 1; The initial value is $7.69 in 1980 and the final value is $6.13 in 2008.

Difference in values = Final value - initial value = $6.13- $7.69 = -$1.56 (the negative symbol indicates that the cost has gone down with time)

Period between the values =Final year - initial year = 2008 - 1980 = 28 years.

Step 2; To find the rate of change per year, we divide the difference in values in that given period of time by the number of years in that period.

Rate of change per year = Difference in values in that period/ no of years.

= -$1.56 / 28 = -$0.056 (the negative symbol indicates that the cost has gone down with time)

So for every year between 1980 and 2008, the price of the monthly rate for basic able TV reduced by $0.056.

6 0

4 years ago

Write a doubles fact that can help you solve 6+5=11.

mario62 [17]

6+5=11 5+6=11 11-5=6 11-6=5

5 0

3 years ago

Ada, Betty, Chris and David have $45 in total Ada gota 52 fromBetty, Chris tripleshis money and Davids money is cut by hall four

andrezito [222]

Using a system of equations, it is found that initially Ada has $0.385.

For the system, we have that the variables are:

x is Ada's amount.
y is Betty's amount.
z is Chris's amount.
w is David's amount.

$45 total, hence:

$x + y + z + w = 45$

Ada gets 2 from Betty, hence:

$x + 2 = y - 2$

$x = y - 4$

$y = x + 4$

Chris triples his money and David's money is cut by half four of them have the same amount, hence:

$x + 4 = y = 3z = \frac{w}{2}$

Then:

$3z = x + 4$

$z = \frac{x + 4}{3}$

$x + 4 = \frac{w}{2}$

$w = 2x + 8$

Solving for w, we find Ada's initial amount.

$x + y + z + w = 45$

$x + x + 4 + \frac{x + 4}{3} + 2x + 8 = 45$

$4x + 12 + \frac{x + 4}{3} = 45$

$12x + 36 + x + 4 = 45$

$13x = 5$

$x = \frac{5}{13}$

$x = 0.385$

Initially, Ada has $0.385.

A similar problem is given at brainly.com/question/6120515

5 0

3 years ago

80 people were asked which was their favourite animal.

Alex787 [66]

Answer:

(a)Cat

(b)8 animals

Step-by-step explanation:

From the attached diagram:

Let the $\square$ be x.

Half of $\square$ =x/2

From the pictogram, we then have:

$Cat = x+\frac{x}{4} \\Dog=x+\frac{3x}{4}\\Giraffe=2x+\frac{x}{2}\\Monkey =x+\frac{x}{2}\\Dolphin=3x$

Therefore:

$x+\frac{x}{4} +x+\frac{3x}{4}+2x+\frac{x}{2}+x+\frac{x}{2}+3x=80\\8x+\frac{x}{4}+\frac{3x}{4}+\frac{x}{2}+\frac{x}{2}=80\\10x=80\\x=8$

So we have the following numbers

$Cat = x+\frac{x}{4} =8+\frac{8}{4}=10\\Dog=x+\frac{3x}{4}=8+\frac{3*8}{4}=14\\Giraffe=2x+\frac{x}{2}=2*8+\frac{8}{2}=20\\Monkey =x+\frac{x}{2}=8+\frac{8}{2}=12\\Dolphin=3x=3*8=24$

(a)Cat was the least popular

(b) $\square$ represents 8 animals

(c)

Number of People who preferred giraffe=20

Number of People who preferred dogs=14

Difference=20-14=6

Therefore, 6 more people preferred giraffes than dogs.

7 0

3 years ago