Hi,
Since they are consecutive, the equation will be:
y + (y + 1) + ( y + 2)=36
y + y + y +1 +2 = 36
3y + 3 = 36
3y = 36-3
3y = 33
y = 33/3
y=11
The three consecutive integers are 11, 12(11+1) and 13(11+2).
Hope this helps you.
Here is the solution to it
Hello there,
The answer will be <u>1</u><u>5</u><u> </u><u>students.</u>
<h3>Step-by-step explanation:-</h3>
We will solve the equation as follows:-
First add the total of the students in band and chorus -
→ 70 + 95 = 165
Then subtract the previously got number with given number of chorus students:-
→ 165 - 150 = 15
So, there are <u>15 students</u> who are there in both band and chorus.
✍️ <em>By </em><em>Benjemin</em> ☺️
The measure of the angle ∠ABD is 64 degrees
<h3>How to determine the measure of the angle?</h3>
From the question, we have the following parameters:
Ray BA bisects ∠CBD
∠CBD = 5x + 18
∠ABC = 3x - 2
Because of the bisection, we have
∠ABC = ∠ABD
∠ABC * 2 = ∠CBD
Substitute the known values in the above equation, so, we have the following representation
(3x - 2) * 2 = 5x + 18
Open the brackets
6x - 4 = 5x + 18
Evaluate the like terms
x = 2
Recall that
∠ABC = ∠ABD
So, we have
∠ABD = 3x - 2
This gives
∠ABD = 3 x 22 - 2
Evaluate
∠ABD = 64
Hence, the angle is 64 degrees
Read more about angles at
brainly.com/question/7620723
#SPJ1
Answer:
214....
Step-by-step explanation:
If the question is : solve 4 by 216 raise to minus 2 by 3 + 1 by 256 raise to minus 3 by 4 + 2 by 243 raise to minus 1 by 5
The given expression can be written as:
4/(216)-2/3+1/(256)-3/4+2/(243)-1/5
This expression has three terms.
Notice that the exponents are negative:
We will change the division into multiplication so that the exponents will become positive;
4*(216)^2/3+ 1*(256)^3/4+ 2*(243)^1/5
If we multiply 6 three times it will give us 6^3=6*6*6=216
If we multiply 4 four times it will give us 4^4=4*4*4*4=256
If we multiply 3 five times it will give us 3^5=3*3*3*3*3=243
So we will write it as:
=4*(6^3)^2/3+ 1(4^4)3/4 +2(3^5)^1/5
=4(6)^2+(4)^3+2(3)
=4*36+64+6
=144+64+6
=214
The answer is 214....