Answer:
x = -7 - 17/20 or -157/20
Step-by-step explanation:
2x/3 - 3.2 = -8.1
2x - 9.6 = -24.3
20x - 96 = -243
20x = -157
x = -157/20
x = -7 - 17/20
Answer:
Karl works 7 hours a week
Step-by-step explanation:
Step 1: Determine total amount that Sally earns
Total amount Sally earns=rate per hour×number of hours worked(h)
where;
Rate per hour=$7 per hour
Number of hours worked=h
Replacing;
Total amount Sally earns=(7×h)=7 h
Step 2: Determine total amount Karl earns
Total amount Karl earns=rate per hour×number of hours worked
where;
rate per hour=$5
number of hours worked=2 more than Sally=h+2
replacing;
Total amount Karl earns=5(h+2)
Step 3: Equate Sally's total earnings to Karl's total earnings and solve for h
7 h=5(h+2)
7 h=5 h+10
7 h-5 h=10
2 h=10
h=10/2
h=5
Karl works (h+2) hours=(5+2)= 7 hours
Karl works 7 hours a week
Answer:
The sample space is
{
}
Step-by-step explanation:
The sample space refers to the set of all the possible outcomes.
The possible outcomes are:
Head and blue ball: BH
Head and green ball: GH
Head and yellow ball: YH
Head and orange ball: OH
Tail and blue ball: BT
Tail and green ball: GT
Tail and yellow ball:YT
Tail and orange ball: OT
The sample space is
{}
Answer :
Let's assume the opposite of the statement i.e., 3 + √5 is a rational number.
Since, a, b and 3 are integers. So,
Here, it contradicts that √5 is an irrational number.
because of the wrong assumption that 3 + √5 is a rational number.
Hence, 3 + √5 is an irrational number.
Aiko jump roped for 20 minutes before stopping at 8:05. Just count 20 minutes back in order to see when she started.
8:05 - 20 minutes = 7:45
