Answer:
number of hours Alexander family ‘s sprinkler work = 20
number of hours Morgan family ‘s sprinkler work = 30
Step-by-step explanation:
Given in the question,
water output rate for the Alexander family ‘s sprinkler = 40 L
water output rate for the Morgan family ‘s sprinkler = 20 L
Suppose, number of hours Alexander family ‘s sprinkler work = x
Suppose, number of hours Morgan family ‘s sprinkler work = y
Equation1
x + y = 50
Equation 2
40x + 20y = 1400
x = 50 - y
Put this value of x in equation 2
40(50-y) + 20y = 1400
2000 - 40y + 20y = 1400
-20y = 1400 - 2000
-20y = -600
y = 30
Put this value of y in equation 1 to get the value of x
x + 30 = 50
x = 50 - 30
x = 20
Volume of a right prism = Area of the base * height
the base is the right triangle.
Area of a right triangle = ab/2
a = 15 inches ; b = 8 inches
Area of a right triangle = (15in * 8in)/2 = 120 in² / 2 = 60 in²
V = B * h
V = 60 in² * 10 in
V = 600 in³ Choice B.
Answer:
62°
Step-by-step explanation:
Given that the triangle has two angle measures of 41° and 77°.
All the angles in a triangle must add up to 180° (e.g. 20° + 60° + 100°). So we write a simple equation to solve for the mystery angle measure:
Let x = the missing measure
Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation: 
Then we subtract 118 from both sides to isolate x - this will give us the value of this variable: 
Therefore, the third angle must have a measure of 62°.
Answer: The distance across a rectangular field is longer distance.
Step-by-step explanation:
Since we have given that
Dimension of square = 40 yards
So, Dimensions of rectangle are :
Length = 25 yards
Width = 35 yards
So, Perimeter of rectangle would be
Diagonal of square would be
Hence, the distance across a rectangular field is longer distance.
Answer:
Lisa can buy 5 pounds of tomatoes.
Step-by-step explanation:
Given that Lisa has $ 7.80 to spend on some tomatoes and a loaf of bread, and tomatoes cost $ 1.20 per pound, and a loaf of bread costs $ 1.80, to determine how many pounds of tomatoes she can buy, the following calculation must be performed:
1.20X + 1.80 = 7.80
1.20X = 7.80 - 1.80
X = 6 / 1.20
X = 5
So Lisa can buy 5 pounds of tomatoes.
