Answer:
below.
Step-by-step explanation:
The number of columns in the first matrix must equal to the number of rows in the second for multiplication to be possible.
Here first matrix has 3 columns and second one has 3 rows so POSSIBLE.
[ -8 2 2] { 3 }
[ 0 ]
[ -3]
= -8*3 + 2*0 + 2 * -3 = [-30] <-------- Answer.
Note a 1*3 matrix multiplied by a 1*3 matrix gives a 1*1 result.
Maximum number of smoothies that Erica can make with the yogurt is 5
<h3><u>Solution:</u></h3>
Given that Eric has 
cups of yogurt to make smoothie
Each smoothie uses 
of a cup of yogurt
To find: maximum number of smoothies that Erica can make with the yogurt
Let 'n' be the number of smoothies that Erica can make with the available yogurt
number of smoothies that Erica can make with the yogurt is calculated by divinding the total available cups of yogurt by cups of yogurt needed for one smoothie
<em><u>Therefore we get:</u></em>
total available cups of yogurt = 
cups of yogurt needed for one smoothie =
Substituting the values in above formula we get,
Thus maximum number of smoothies that Erica can make with the yogurt is 5
This is a work problem. It can be solved as follows:
Houston = 1/x
Dominique = (1/2x)
Together = 1/5
Then, we add Houston and Dominique:
1/x + 1/2x = 1/5
Solve for x,
x = 2/15
Therefore, it would take 15/2 hours for Houston to ice by himself, the last option.
Answer:
one solution
Step-by-step explanation:
Given
3(x - 2) = 22 - x ← distribute parenthesis on left side
3x - 6 = 22 - x ( add x to both sides )
4x - 6 = 22 ( add 6 to both sides )
4x = 28 ( divide both sides by 4 )
x = 7
The amount of money that Phyllis invested at each given rate of 4 and 6 percent is = $394.57 and $591.86 respectively.
<h3>Calculation of the total capital invested</h3>
The time the investment lasted= 12 years.
Simple interest = 1579.05 - 800= $779.05
The principal capital= $800
Rate of the both capital invested;
= SI × 100/P ×T
= 779.05 × 100/800 × 12
= 77,905/9600
= 8.11%
To find the amount of money that Phyllis invested at each given rate,
Rate 1 = 4/8.11× 800
= 3200/8.11
= $394.57
Rate 2 = 6/8.11× 800
= 4800/8.11
= $591.86
The amount of money that Phyllis invested at each given rate of 4 and 6 percent is = $394.57 and $591.86 respectively.
Learn more about simple interest here:
brainly.com/question/20690803
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