The lenght of a regtangle is four meters longer than its breath x. which equation below would give its area? niel is 6 years old than sean, who is h years old, and nikki is twice sean's age . the sum of their ages is 86 .which equation below show this information? the sum of 3 consecutive 177 .find the largest of the numbers

Problem 1

x = width (or breadth)

x+4 = length

area = x*(x+4)

area = x^2+4x

Problem 2

h = Sean's age

h+6 = Niel's age

2(h+6) = 2h+12 = Nikki's age

The sum of their ages is 86, so,

h+(h+6)+(2h+12) = 86

Problem 3

x = first number

x+1 = next number after x

x+2 = largest number (after x+1)

all three numbers are whole numbers

add up the three expressions, set it equal to 177, then solve for x

x+(x+1)+(x+2) = 177

3x+3 = 177

3x+3-3 = 177-3

3x = 174

3x/3 = 174/3

x = 58

x+1 = 58+1 = 59

x+2 = 58+2 = 60

The largest of the three numbers is 60.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value