Answer:
4. (d, the last one)
5. (a, the first one)
Step-by-step explanation:
Answer:
The three numbers are 341, 342, and 343
Step-by-step explanation:
We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 1026. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 1026
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 1026
3X + 3 = 1026
3X + 3 - 3 = 1026 - 3
3X = 1023
3X/3 = 1023/3
X = 341
Which means that the first number is 341, the second number is 341 + 1 and the third number is 341 + 2. Therefore, three consecutive integers that add up to 1026 are 341, 342, and 343.
341 + 342 + 343 = 1026
We know our answer is correct because 341 + 342 + 343 equals 1026 as displayed above.
Answer:
12 feet
Step-by-step explanation:
By Pythagoras theorem, a²+b²=c², where c represents the diagonal and a and b represents the other sides of a right angled triangle
As a flag is a rectangle, the two triangles cut would be right angled triangles
Therefore, a²+9²=15²
a²+81=225
a²=144
a=√144
a=12 feet
Answer:
4/5 x 7/12 = 28/60 as simplified as 7/15 in fraction form. 4/5 x 7/12 = 0.4667 in decimal form.
4y+x= -1
-x -x
—————
4y=-x-1
— ——
4 4
=======
Y= -1/4x - 1/4
Hoped this helps