Answer:
Katherine need to work minimum 10 hours lifeguarding to meet her requirements
Step-by-step explanation:
Given:
Rate for Lifeguarding = 
Rate for walking dogs = 
She had worked 2 hours walking dog
Money for walking dogs = Rate for walking dogs
hours worked=
she can work a maximum of 15 total hours and must earn at least $160.
Let hours required for lifeguarding be x
Money for life guarding = Rate for walking dogs hours worked for lifrguarding= 
Total Money she must earn = Money for lifeguarding + Money for walking dogs
Rounding to nearest hour
Katherine need to work minimum 10 hours lifeguarding to meet her requirements
Answer:
- x = 8
- 12 = BD
- 23 = BE
- 13 = CE
Step-by-step explanation:
<u>We know that:</u>
- BD = 2x - 4
- DE = 2x - 3 - 2
- BE = 3x - 1
- CE = 2x - 3
<u>Solution:</u>
- (2x - 4) + (2x - 3 - 2) = 3x - 1
- => 2x - 4 + 2x - 3 - 2 = 3x - 1
- => 4x - 9 = 3x - 1
- => 4x - 3x = 9 - 1
- => x = 8
- => 2x - 4 = BD
- => 2(8) - 4 = BD
- => 16 - 4 = BD
- => 12 = BD
- => 3x - 1 = BE
- => 3(8) - 1 = BE
- => 24 - 1 = BE
- => 23 = BE
- => 2x - 3 = CE
- => 2(8) - 3 = CE
- => 16 - 3 = CE
- => 13 = CE
Hence, the answers are:
- x = 8
- 12 = BD
- 23 = BE
- 13 = CE
Answer: 12πins.
Step-by-step explanation:
Since the area if a circle = πr²
From the question
Area of the circle = 36πins²
To find the circumference of the circle, we need to find the common radius of the circle and this could be achieved from the area of the circle given above.
πr² = 36π, solving this gives. Divide through by π
r² = 36
r = +/-√36
= +/-6
Now to find the circumference of the circle, we substitute for r in the formula below.
Circumstances = 2πr
= 2 ×π × 6
= 12πins.
Answer:
x = 4
Step-by-step explanation:
as it is parallelogram opposite sides are equal
so14x -7= 10x-9
14x-7+9=10x
14x -16 = 10x
14x -10x = 16
4x =16
x = 16/4
x = 4
also u can put x = 4 in both expressions and u will get answer of both 49
