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Citrus2011 [14]
1 year ago
11

What is the surface area of this right rectangular prism? Enter your answer in the box.

Mathematics
1 answer:
antoniya [11.8K]1 year ago
4 0

Answer:

The surface area is 22m

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James is four years younger than Austin. If three times James' age is increased by the square of Austin's age, the result is 28.
lara31 [8.8K]
Let's use J for James's age and A for Austin's age. The equations are:

J = A - 4
3J + A² = 28

Just plug (A - 4) in the place of J in the second equation. This gives you:

3(A - 4) + A² = 28
-->
A² + 3A - 12 = 28
--> 
A² + 3A - 40 = 0
--> 
(A - 5)(A + 8) = 0
-->
A = 5 or -8

-8 is nonsense, so Austin is 5 years old. Therefore, James is 1 year old.
7 0
1 year ago
Square ABCD was translated using the rule (x, y) → (x – 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the
alisha [4.7K]
The translation is (x-4, y+15)

This means you would subtract 4 from the X coordinate and add 15 to the y coordinate.
 The original coordinates is (9,-8) 

The first number is X and the 2nd number is Y.

9-4 = 5

-8+15 = 7

The new location would be (5,7)

The answer is B.

4 0
1 year ago
Read 2 more answers
I also need help with this problem.
nadezda [96]

We will use substitution to solve this system of linear equations, as the first equation has x and y with no coefficients, which makes it easier to find one in terms of the other. We can then substitute that value in the other equation and find the values of x and y.

x = y + 5 ---> equation 1

3x + 2y = 5 ---> equation 2

From equation 1, we get the value of x as y + 5. Using the substitution method, we can find the value of y by substituting (y+5) for x in the 2nd equation.

3(y+5) + 2y = 5

3y + 15 + 2y = 5

5y = 5 - 15

5y = -10

y = -2

Subsituting this value of y in (y+5), we can find x.

x = y + 5

x = -2 + 5

x = 3

Therefore, x = 3 and y = -2.

I will also solve this using elimination method.

Let us multiply equation 1 by 2, so that we get 2y in both equations.

2x = 2y + 10

3x + 2y = 5

Let us add both the equations.

2x + 3x + 2y = 5 + 2y + 10

5x = 15 + 2y - 2y

5x = 15

x = 3

Substituting this value of x in equation 1, we get

x = y + 5

3 = y + 5

y = 3 - 5

y = -2

Therefore, x = 3 and y = -2.

7 0
1 year ago
a graduated cylinder is filled to 41.5 ml with water and a piece of granite is placed in the cylinder displacing the level to 47
mixas84 [53]
Because you went from 41.5 to 47.6 when the granite was placed in the graduated cylinder, using displacement:

47.6 - 41.5 = 6.1

I don't know about the cubic centimeters part, I don't know for sure if mL and cubic cm are the same, sorry. :(
8 0
1 year ago
The student council has decided to have a raffle at the carnival. They came up with a table to show the relationship between the
elena-14-01-66 [18.8K]
Write an equation to find the number of each type of ticket they should sell.Let "x" be # of adult tickets; Let "y" be # of student tickets: Value Equation: 5x+3y=450-------------------------- b. Graph your equation.y = (-5/3)x+150
c. Use your graph to find two different combinations of tickets sold.I'll leave that to you.

6 0
2 years ago
Read 2 more answers
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