Answer/Step-by-step explanation:
1. x = -3.6
Add 1 on both sides.
18x = 23x + 18
Subtract 23x on both sides.
Combine like terms.
Divide the answer.
-5x = 18
x = -3.6
2. x = 11/3 (2.66666...)
Add 5 on both sides.
6x = 3x + 11
Subtract 3x on both sides.
Combine like terms.
Divide the answer.
3x = 11
x = 11/3
3. x = 23
Subtract 12 on both sides.
5x = 6x - 23
Subtract 6x on both sides.
Combine like terms.
Divide the answer.
-x = -23
x=23
(that's all.)
Answer:
d) 330
Step-by-step explanation:
The number of ways can a dance instructor send 4 of her 11 students to summer dance program is C(11 , 4)
That is 
ways
by using formula 
now simplification
= 
after cancelling 7! and on simplification
= 
after cancellation we get 330 ways
The number of ways can a dance instructor send 4 of her 11 students to summer dance program is 330
Answer:
-2
Step-by-step explanation:
8 (-2x + 1) = 30 - (-4 + 3x) Distribute
-16x + 8 = 30 + 4 - 3x Combine like terms
-16x + 8 = 34 - 3x Rearrange terms
-13x = 26 Divide by -13 on both sides
x = -2
Answer:
1 x 4=4 (Both numbers are in the ones place, so their value are ones.)
Step-by-step explanation
In order to use place value to multiply, we use the distributive property to break apart each place. Always begin with the ones place. We can break apart a 2-digit by 1-digit number into 2 simpler problems. 1 x 4=4 (Both numbers are in the ones place, so their value are ones.)
Answer:
C) The diagram in this figure illustrates a reflex angle
Step-by-step explanation:
Given : A diagram with an angle.
To find : The diagram in this figure illustrates a _______ angle.
Solution : We can see from figure it is greater than 180 degree and less than 360 degree.
By the definition of reflex angle : The reflex angle is the larger angle. It is more than 180° but less than 360°.
Therefore, C) The diagram in this figure illustrates a reflex angle.
