Answer:
see below
Step-by-step explanation:
Add 4 to find the solution:
z ≤ 7
The value 7 is included in the solution set, so there will be a solid dot at that point. Numbers less than 7 are also included in the solution set, so the number line will be shaded to the left of that solid dot.
There are 65 boys, and the boy ratio is 13: so to find how they got that, divide 65 by 13 and that is 5. Since we now know it is the amount of people, divided by 5, we can take the girl ratio (15) and multiply it by 5 to get the amount of girls (which is 75). You need to find the total amount of students in the class so add the boys and girls (65+75) and get 140 total students
Answer: 4/9
Step-by-step explanation:
The probability that annie picks a duck Pt= the probability of picking a duck without accounting for the added one (Po)+ probability of picking the added bird and it's a duck(Pi)
Pt = Po+Pi
Since the total number of birds in the right pond is 10 after the addition of one by john
Po= 4/10
Pi= the of john adding a duck × the probability of annie picking the added bird
Pi= 4/9 × 1/10
Pi = 4/90
Pt= 4/10 + 4/90
Pt = (36+4)/90
Pt=40/90
Pt= 4/9
(This implies that the probability of picking a duck remain the same even after the addition of one bird from the left ponds because they both have equal proportions of duck and geese i.e the initial number of duck and geese in both right and left ponds are 4 and 5 respectively)
Thanks.
Answer:
length of book mark =9cm
breadth of bookmark=2cm
area of bookmark=length×breadth
=9cm×2cm
=18cm answer
Answer:
The measure of one angle is 81.3° and the other angle is 8.7°.
Step-by-step explanation:
We are given that two angles are complementary. One angle's measure is 3 more than 9 times the other angle.
Let the measure of one angle be 'x' and the measure of other angle be 'y'.
So, according to the question;
- <u>The first condition</u> states that two angles are complementary, this means that the sum of both angles must be equal to 90°, i.e;
x + y = 90°
x = 90° - y ---------------- [equation 1]
- The second condition states that One angle's measure is 3 more than 9 times the other angle, i.e;
x = 3 + 9y ------------ [equation 2]
Now, both the equations we get;
90 - y = 3 + 9y
9y + y = 90 - 3
10y = 87
= 8.7°
Now, putting the value of y in equation 1 we get;
x = 90° - y
x = 90° - 8.7° = 81.3°
Hence, the measure of one angle is 81.3° and the other angle is 8.7°.
