Hi - if you could provide a diagram, i could definitely help you!
Answer: 5
Step-by-step explanation:
a^2 + b^2 = c^2
12^2 + x^2 = 13^2
144 + x^2 = 169
x^2 = 25
square root both sides
x = 5
to check, do 12^2 + 5^2 =169
sqrt of 169 is 13
hope this helps
Answer:
(D). The number that is 7 to the right of 2 on the number line
Step-by-step explanation:
It could also be the number that is 2 to the right of 7 on the number line. When numbers are added, the distances of each to the origin are laid end-to-end from the origin to the right on the number line.
2+7 can mean that the distance 2 is added to the distance 7, or vice versa. (The commutative property of addition says order does not matter.)
Given:
Cost to build a bookshelf = $20
Cost to build a table = $45
Amount available to spend = $600
Let x = number of bookshelves built.
Let y = number of tables built.
The total number of bookshelves and tables = 18.
Therefore
x + y = 18.
That is,
y = 18 - x (1)
The total amount available to build x bookshelves and y tables = $600. Therefore
20x + 45y = 600
That is (dividing through by 5),
4x + 9y = 120 (2)
Substitute (1) into (2).
4x + 9(18 - x) = 120
4x + 162 - 9x = 120
-5x = -42
x = 8.4
From (1),obtain
y = 18 - 8.4 = 9.6
Because we cannot have fractional bookshelves and tables, we shall test values of x=8, 9 and y=9,10 for profit
Note: The profit is $60 per bookshelf and $100 per table.
If x = 8, then y = 18-8 = 10.
The profit = 8*60 + 10*100 = $1480
If x = 9, then y = 18-9 = 9.
The profit = 9*60 + 9*100 = $1440
The choice of 8 bookshelves and 10 tables is more profitable.
Answer: 8 bookshelves and 10 tables.
Hello!
Since this amount we are given an amount we need for 3 people, we just multiply each amount by four to get to 12.
12 cups of almonds
4 cups of raisins
1 1/3 cups of chocolate chips
I hope this helps!
