# Afarmer is comparing the number of eggs laid by two hens. the first hen laid 7 eggs per week for x weeks.

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## Answers

9y< 7x i think is the equation

48 + 4x < y ...ur inequality

55cm + X*4cm < Y.

Step-by-step explanation:

The initial height of the tree is 55cm

The tree will grow 4cm per month, for X months.

then the height of the tree is the initial height, plus X times 4cm

H = 55cm + X*4cm

If Y is the maximum height that this tree can grow, then we can write the inequality as:

H < Y.

55cm + X*4cm < Y.

C.)

| 7 | = | -7|

|7|=|-7|

Step-by-step explanation: Because both of these numbers mean the absolute value of 7 so both of these numbers equal 7.

3x + 61 ≤ y will be the expression.

Step-by-step explanation:

A lanscaper is planting a tree that is initially 61 cm tall.

Tree will grow with a rate of 3 cm per month for x months.

By this rate tree will grow 3x cm.

Since initial size of the tree was 61 cm so total length after x months will be = 3x + 61

This height of tree is at most y cm, that means height of the tree will be less than equal to y.

So the expression will be 3x + 61 ≤ y

7x ≥ 8y

Step-by-step explanation:

The first hen laid 7 eggs per week for x weeks. 7x

The second hen laid 8 eggs per week for y weeks. 8y

The total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen.

7x ≥ 8y

Answer with explanation:

The value of Modulus of any variable x is defined as follows:

|x|=x if, x ≥ 0(1)

= -x , if x<0.(2)

| 7 |= 7 , as 7 >0According to rule 1

| -7 | = -(-7)=7 , According to rule 2

So, |7|= |-7|=7

Option C:

|7|= |-7|

C.)

| 7 | = | -7|

Step-by-step explanation:

because absolute values are always positiveso, absolute values of | -7 | and | 7 | are both 7

I believe its 3

Step-by-step explanation: