Answer:
D. 4r + 3(10 - r) = 37
Step-by-step explanation:
worked on edge 2022
Answer:
81, 82, 83, 84.
Step-by-step explanation:
Let x represent 1st integer. Then the next three consecutive integers would be .
We have been given that twice the sum of the two greater integers exceeds three times the first by 91. We can represent our given information in an equation as:
Let us solve for x.
Therefore, the 1st integer would be 81.
The next three consecutive integers would be:
Therefore, our required four consecutive integers are 81, 82, 83, 84.
To find four consecutive integers, set up an equation using the given information and solve for x. The four consecutive integers are -86, -85, -84, and -83.
To find four consecutive integers, we can let the first integer be x. The next three consecutive integers would then be x+1, x+2, and x+3. According to the given condition, twice the sum of the two greater integers (x+2 + x+3 = 2x+5) exceeds three times the first integer (3x) by 91. So, we can set up the equation 2x+5 = 3x + 91 and solve for x.
Subtracting 2x from both sides yields 5 = x + 91. Subtracting 91 from both sides gives -86 = x. Therefore, the four consecutive integers are -86, -85, -84, and -83.
#SPJ3
Answer:
2.32 feet
Step-by-step explanation:
Given;
The cross section of the bottom of a circular pound has the shape of a parabola
Now,
For the circular parabola, the equation is given as:
y² = 4ax
here,
y is the depth
x is the horizontal distance from the center
a is the constant
also,
at diameter of the pond = 24 feet
and,
at x = 0 ; y = 8 feet
now,
the point 2 feet from the shore with respect to the center of the pond = radius of the pond - The distance from the shore
= - 2 = 10 feet
thus,
at x = 10 feet ; y = 3 feet
thus,
we have
the equation as:
3² = 4a × 10
or
0.9 = 4a
or
a = 0.225
therefore,
we get the equation as;
y² = ( 4 × 0.225 ) × x
and, for point 6 feet away from the shore, i.e - 6 = 6 feet away from the center
we have
y² = ( 4 × 0.225 ) × 6
or
y² = 5.4
or
y = 2.32 feet (negative value is neglected as the depth cannot be negative)
Answer:
I wanna say 48 squared feet
Step-by-step explanation:
Answer:
x = 1/2 = 0.5
Step-by-step explanation:
We must solve x in the following equation:
–3x + 1 + 10x = x + 4
We'll try to get the terms with x on the left and the independent terms on the right by performing the opposite operations on both sides of the equation:
–3x + 1 + 10x -x = x + 4 -x
–3x + 1 + 10x -x -1 = 4 -1
6x = 3
Now lets isolate x, again by performing the opposite operation, that is dividing by 6 on both sides:
6x /6 = 3/6
x = 1/2 = 0.5
Answer:
30
Step-by-step explanation:
Assuming your parallelogram looks like the one in the attached image.
The area of a parallelogram is base x height, .
The base is 10; the height is 3, so A = 10 x 3 = 30.
Answer:
30
Step-by-step explanation: