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bogdanovich [222]
3 years ago
11

The product of two consecutive positive integers is 29 more than their sum. Find the integers

Mathematics
1 answer:
Rina8888 [55]3 years ago
7 0
The consecutive positive integers would be: x and (x+1),
We would have to solve the following equation to find these numbers:
x(x+1)-[x+(x+1)]=29
x²+x-2x-1=29
x²-x-30=0
x=[1⁺₋√(1+120)]/2
x=(1⁺₋11)/2
We have two possible solutions:
x₁=(1-11)/2=-5    then: (x+1)=-5+1=-4  This is not the solution.
x₂=(1+11)/2=6    then: (x+1)=6+1=7    This solution is right.

Answer: the numbers would be 6 and 7. 
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Answer:

6(3)-3

Step-by-step explanation:

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3 years ago
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A student was required to multiply a number by 4 and add 6 to it. Instead he added 6 to it first and then multiplied by 4. What
GalinKa [24]

Answer:

The correct answer is 18

the correct expression is (4n+6)

Step-by-step explanation:

let the number be n

therefore  if he is required to multiply n by 4 and added to 6 we have

(4n+6)= 0-----1

given that he did otherwise by adding 6 to n and multiply by 4 we have

(n+6)4= 36------2

Firstly we need to solve for n in equation 2

4n+24= 36\\4n= 36-24\\4n= 12\\

Dividing both sides by 4 we have

n= \frac{12}{4\\}\\n= 3

In order to solve for the correct answer let us input n=3 in equation 1 we have

=(4n+6)= 0-------1\\=(4*3+6)= 0\\=(12+6)=0\\= 18

7 0
3 years ago
total of 393 tickets were sold for the school play. They were elther adult tickets or student tickets. The number of student tic
Andrews [41]
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Explanation:

Let x be the number of student ticket
Let y be the number of adult ticket

x + y = 393

x = 2y

Substitute x value:

2y + y = 393
3y = 393
y = 131

Substitute y value in one of the equation above:

x = 2(131)
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8 0
3 years ago
In △ABC,a=34, b=18, and c=17. Find m∠A.<br><br> A. 14.1<br> B. 132.6<br> C. 152.5<br> D. 101.5
igomit [66]

Answer:

C.  m < A = 152.5 degrees.

Step-by-step explanation:

Use the Cosine Rule:

a^2 = b^2 + c^2 - 2.b.c.cos A

34^2 = 18^2 + 17^2 - 2.18.17 cos A

2.18.17 cos A = 18^2 + 17^2 - 34^2

cos A =  (18^2 + 17^2 - 34^2) / (2.18.17)

cos A = -0.88725

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8 0
3 years ago
PLEASE NO LINKS AND NO NEGATIVITY
AveGali [126]
A=32x-8

A=L*W
L=8x-2
W=4
A=(8x-2)(4)
A=32x-8
7 0
2 years ago
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