Answer:
There are 15 numbers of chicken and 25 numbers of bulls.
Step-by-step explanation:
The pen had chickens and bulls. The pen contains 40 animals in total. The number of legs in the pen is 130 .
Let
a = number of chicken
b = number of bull
a + b = 40................(i)
A chicken has 2 legs and a bull has 4 legs.
The total legs can be represented as
2a + 4b = 130...........(ii)
combine the equation
a + b = 40................(i)
2a + 4b = 130...........(ii)
a = 40 - b
insert the value of a in equation(ii)
2(40 - b) + 4b = 130
80 - 2b + 4b = 130
80 + 2b = 130
2b = 130 - 80
2b = 50
divide both sides by 2
b = 50/2
b = 25
Insert the value of b in equation (i)
a + b = 40
a + 25 = 40
a = 40 - 25
a = 15
There are 15 numbers of chicken and 25 numbers of bulls.
Answer:
(0,0) doesn’t show a rate of 12 messages per hour
I’m confused about the rest please elaborate
Step-by-step explanation:
18x - 10
There is no way to find out how many hours she worked so the answer is an expression. An expression has no equal sign.
Answer:
m∠CBD = m∠CDB ⇒ proved
Step-by-step explanation:
Let us solve the question
∵ AB ⊥ BD ⇒ given
→ That means m∠ABD = 90°
∴ m∠ABD = 90° ⇒ proved
∵ ED ⊥ BD ⇒ given
→ That means m∠EDB = 90°
∴ m∠EDB = 90° ⇒ proved
∵ ∠ABD and ∠EDB have the same measure 90°
∴ m∠ABD = m∠EDB ⇒ proved
∵ m∠ABD = m∠ABC + m∠CBD
∵ m∠EDB = m∠EDC + m∠CDB
→ Equate the two right sides
∴ m∠ABC + m∠CBD = m∠EDC + m∠CDB
∵ m∠ABC = m∠EDC ⇒ given
→ That means 1 angle on the left side = 1 angle on the right side, then
the other two angles must be equal in measures
∴ m∠CBD = m∠CDB ⇒ proved
Answer:
The x-intercept is (18/5, 0).
The y-intercept is (0,-2).
Step-by-step explanation:
To find the <u>x-intercept</u>, sub y for 0.
-5x + 9y = -18
-5x + 9(0) = -18
Simplify and isolate x.
-5x = -18 <= Divide both sides by -5
x = 18/5
Since we substituted y for 0, y=0.
(18/5, 0)
To find the <u>y-intercept</u>, sub x for 0.
-5x + 9y = -18
-5(0) + 9y = -18
Simplify and isolate y.
9y = -18 <= Divide both sides by 9
y = -2
Since we substituted x for 0, x=0.
(0,-2)