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Kipish [7]
3 years ago
10

Find four consecutive even integers such that if the sum of the first and third is multiplied by 3, the result is 28 less than f

ive times the fourth
Mathematics
1 answer:
WITCHER [35]3 years ago
7 0

Answer:

A=-10\\B=-8\\C=-6\\D=-4

Step-by-step explanation:

We can solve the problem in this way:

- The 1st information that we have is that the four numbers are even and consecutive integer. Let's call these numbers A, B, C and D. This means that:

D=C+2\\C=B+2\\B=A+2

(since the distance between two even consecutive numbers is 2)

- The 2nd information that is given is that the sum of the first and third multiplied by 3 equals 28 less than 5 times the fourth, so:

3(A+C)=5D-28 (1)

Now we rewrite eq(1) by using:

D=C+2

and

A=C-4 (obtained by combining the 3 first equations)

So we get:

3(C-4+C)=5(C+2)-28

Solving this equation for C,

6C-12=5C+10-28\\C=-6

So the other numbers are:

A=-10\\B=-8\\C=-6\\D=-4

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Evaluate x(y-z)2 for =-1,y=5,and z=
Nata [24]

Answer:

The value of x(y-z)^2 is -16.

Step-by-step explanation:

We need to evaluate x(y-z)^2 for x = -1, y = 5 and let us assume that z = 1

It can be simply done by putting the values of x,y and z in the given expression.

x(y-z)^2=(-1)(5-1)^2\\\\=-1(4)^2

We know that the value of 4² = 16

So,

x(y-z)^2=16\times -1\\\\=-16

So, the value of x(y-z)^2 is -16.

6 0
3 years ago
Wich expression can be written as 9x(12+7)
DENIUS [597]
9x(12+7)
distribute the 9x
108x+63

3 0
3 years ago
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A bag of candy weighs 25.62 ounces. A group of 4 friends is going to share the bag of candy equally.
saul85 [17]
Part A: 6.2
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4 0
3 years ago
James and Amy play 3 more games.They have played the same number of games as last week .Fill in the blanks to make the equation
Fiesta28 [93]

Question is Incomplete; Complete question is given below;

James and Amy played 12 games of checkers last week. This week they played 7 games on Monday and 2 games on Wednesday.James and Amy play 3 more games. They have played the same number of games as last week. Fill in the blanks to make the equation true. Use +,-, or =. 12_7_2_3 Explain how you chose the symbols.

Answer:

12<u> = </u>7<u> + </u>2<u> + </u>3

Step-by-step explanation:

Given:

Number of games played last week = 12

Number of games played on Monday this week = 7

Number of games played on Wednesday this week = 2

Also given:

James and Amy play 3 more games.

So Number of games played more = 3

We need to fill in the blanks 12 __ 7__2__3 with signs '+', '-','='.

Solution:

It is given that they have played the same number of games as last week.

So we can say that;

Number of games played last week is equal to Number of games played on Monday this week plus Number of games played on Wednesday this week plus Number of games played more.

framing in equation form we get;

12 = 7 + 2+3

Hence we have fill the blanks as 12<u> = </u>7<u> + </u>2<u> + </u>3.

8 0
3 years ago
Twice a number is 60 more than five times the number. what is the number?
Delvig [45]
Let the number be represented by x
2x=60+ 5x                          -20*2=60+5*-20
2x-5x=5x-5x+60                     -40=60+-100
-3x=60                                      -40=-40
-3x/-3=60/-3
x=-20
Therefore the number is -20
5 0
3 years ago
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