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Tomtit [17]
3 years ago
14

The sum of three consecutive even integers is 72. Let x represent the first integer, x + 2 represent the second integer, and x +

4 represent the third integer. Which equation can be used to find the first integer? 3x + 6 = 72 3x = 2x + 6 2x + 64 = 72 3x + 72 = 2x + 6
Mathematics
1 answer:
GuDViN [60]3 years ago
6 0

Answer: 3x + 6 = 72

Step-by-step explanation: Three consecutive even integers can be represented as followed.

X → <em>first integer</em>

X + 2 → <em>second integer</em>

X + 4 → <em>third integer</em>

<em />

Since the sum of our three consecutive integer is 72, we can set up an equation to represent this.

X + X + 2 + X + 4 = 72

Now, we can simplify on the left.

3x + 6 = 72

Therefore, 3x + 6 = 72 would be the equation.

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Please please please help me with this answer
Rasek [7]

x = number of packages he bought

y = number of popsicles in each package

Here are the two equations:

xy = 54

x = 3 + y

Using the substitution method, you can solve them to find x and y.

(3 + y)y = 54,

3y + y^2 = 54

y^2 + 3y - 54 = 0

Solve the quadriatic equation:

(y +9)(y - 6) = 0

y = -9, 6.

Plug y into: xy = 54

x(-9) = 54, x = -6.

x(6) = 54, x = 9.

So he bought 9 packages of popsicles, bc you can't bye -6 packages.

3 0
3 years ago
What is the value of the underlined digit?
blondinia [14]

Answer:

i think is ten million (B)

Step-by-step explanation:

4 0
3 years ago
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Given that cos 160= -q, express each of the following in terms of q:
GenaCL600 [577]
Hello,

cos 160°=-q

cos 20°=-cos 160°=q

sin 20°=√(1-q²)=sin 160°

tan -20°=tan 160=√(1-q²)/-q

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6 0
3 years ago
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coldgirl [10]
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Cuál es el menor número entero que, disminuido en 8, resulta menor que su triple
Mars2501 [29]

Answer:

-3

Step-by-step explanation:

     Let x = the number

Then 3x = its triple, and the condition is:

x - 8 < 3x

Subtract x from each side

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Divide each side by 2

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Reverse the inequality

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The smallest integer greater than -4 is -3.

Check:

-3 - 8 < 3(-3)

-11 < -9

It checks.

 

5 0
3 years ago
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