Answer:
Susan makes 5 fruit cups
each fruit cup has 5 strawberries and 3 kiwis
so the number of strawberries used is - 5 x 5 = 25 strawberries
and the number of kiwis used - 5 x 3 = 15 kiwis
so the total number of fruits - 25 + 15 = 40 fruits
Joanna uses 40 fruits to make 4 fruit cups
each cup she uses 8 strawberries
therefore total number of strawberries she uses - 8x 4 = 32 strawberries
she has 40 fruits in total and 32 of those are strawberries
the rest are kiwis
number of kiwis = 40 -32 = 8
8 kiwis are there and she has to make 4 cups
so for each cup number of kiwis = 8 / 4 = 2
so each cup has 2 kiwis
Step-by-step explanation:
Answer:
x = 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
3 - 2x = -1.5x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 2x on both sides: 3 = 0.5x
- Divide 0.5 on both sides: 6 = x
- Rewrite: x = 6
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in<em> x</em>: 3 - 2(6) = -1.5(6)
- Multiply: 3 - 12 = -9
- Subtract: -9 = -9
Here we see that -9 does indeed equal -9.
∴ x = 6 is the solution to the equation.
Answer:
15,120 for the first question. 1,680 if one of the books is a must
Step-by-step explanation:
When Ron chooses his first book, he has 9 options. After that, when he chooses his second book, he only has 8 choices because he already picked one of them. By his third choice, he only has 7 choices and so on.
We can make an equation to represent this,
9 x 8 x 7 x 6 x 5
Multiplying all of that out gets you 15,120.
The second problem is even easier. Since one of the books is already chosen for him, he starts off only having 8 options. Since he is only choosing four books this time, we are only multiplying four numbers.
8 x 7 x 6 x 5
Multiplying all of that out tells you there are 1,680 ways he can make his selection in the second scenario.
