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3 years ago

the sum of two consecutive integers is -49. Write an equation that models this situation and find the values of the two integers

Mathematics

1 answer:

algol [13]3 years ago

7 0

X + x +1 = -49
2x + 1 = -49
2x +1 -1 = -49 -1
2x = -50
x = -25
x + 1 = -24
Check -25 + -24 = -49

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Part 1

Dmitrij [34]

Answer:

a) A n (B' n C') = {3, 9}.

b) (AUB) n (BUC) = {2,4,5,6,7,8}

Step-by-step explanation:

a) Rewriting C ; C = {4,5,6,7,8}

B' = {3,5,7,9} and C' = {2, 3, 9}

so (B' n C') = {3, 9}

and A n (B' n C') = {3, 9}.

b) {A U B} = { 2,3,4,5,6,7,8,9} and {B U C} = {2,4,5,6,7,8}

so (AUB) n (BUC) = {2,4,5,6,7,8}

4 0

2 years ago

3(12x – 9) + 9 = 2x + 4 Would this be infinite solution, one solution or no solution?

timama [110]

Answer:

One solution

Step-by-step explanation:

Let us first expand the left side of the equation to rid of the parenthesis:

$3*12x-3*9+9=2x+4\\36x-27+9=2x+4\\36x-18=2x+4$

Now let us isolate the variable to sove for x:

$36x-2x=4+18\\34x=22\\x=\frac{22}{34}\\x=\frac{11}{17}$

Therefore, x= $\frac{11}{17}$ . As you can see, there is just one solution.

I hope this helps! Please let me know if you have any further questions :)

8 0

2 years ago

This is literally my final send help pls

worty [1.4K]

Answer:

6.25

Step-by-step explanation:

5 is almost the half of it and 4 is the other/ sorry I'm not very good at explaining

8 0

1 year ago

Can someone tell me what 2 to the power of 6 is

Ira Lisetskai [31]

${2}^{6} = 64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2$

8 0

3 years ago

Read 2 more answers

in parallelogram ABCD, AB=(6x-2) feet DC=(3x+13) feet and AD=5 feet. Find the number of feet in the perimeter of the parallelogr

sweet [91]

Answer:

66 feet

Step-by-step explanation:

Parallelograms have 2 pair of parallel sides that are congruent to each other.

In parallelogram ABCD, we can say:

AB = DC

and

BC = AD

AB and DC are given, and they are equal. So we can say:

AB = DC

6x - 2 = 3x + 13

Now we can solve for x:

6x - 2 = 3x + 13

6x - 3x = 13 + 2

3x = 15

x = 15/3

x = 5

So,

AB = 6x - 2

AB = 6(5) - 2 = 28

So, DC = 28

We are also given AD = 5, so BC = 5 as well [since AD = BC]

Now, we know the length of all 4 sides.

The perimeter is the sum of all 4 sides. Hence,

Perimeter = 28 + 28 + 5 + 5 = 66 feet

6 0

3 years ago