Answer:
Step-by-step explanation:
In order to make a specific shade of green paint, a painter mixes 1 1/2 quarts of blue paint. Converting 1.5 quarts to cup,
1 quart = 4 cups
1.5 quarts = 1.5 × 4 = 6 cups
She also used 1/2 gallon of white paint. Converting 0.5 gallons to cup,
0.0625 gallons = 1 cup
0.5 gallons = 0.5/0.0625 = 8 cups
This means that the ratio of cups of blue paint to green paint to white paint is 6: 2 :8
Total ratio = 6 +2 + 8 = 16
To make 100 cups of this shade of green,
Cups of blue paint needed = 6/16 × 100 = 37.5 cups
Cups of green paint needed = 2/16 × 100 = 12.5 cups
Cups of white paint needed = 8/16 × 100 = 50 cups
If A and B are equal:
Matrix A must be a diagonal matrix: FALSE.
We only know that A and B are equal, so they can both be non-diagonal matrices. Here's a counterexample:
![A=B=\left[\begin{array}{cc}1&2\\4&5\\7&8\end{array}\right]](https://tex.z-dn.net/?f=A%3DB%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%262%5C%5C4%265%5C%5C7%268%5Cend%7Barray%7D%5Cright%5D)
Both matrices must be square: FALSE.
We only know that A and B are equal, so they can both be non-square matrices. The previous counterexample still works
Both matrices must be the same size: TRUE
If A and B are equal, they are literally the same matrix. So, in particular, they also share the size.
For any value of i, j; aij = bij: TRUE
Assuming that there was a small typo in the question, this is also true: two matrices are equal if the correspondent entries are the same.
Answer:
If he spins a spinner with 5 equal sections they have equally likely probability of 20%
If he rolls a fair die in the shape of pyramid with 4 sides each side has probability of 25%
If he rolls a fair die in the shape of cube with 6 sides each side has probability of 16.7
Total number of outcomes = 5 * 6 * 4 = 120
It takes 5 minutes per square foot (400/180=5) and so 5 minutes per square for 720 squares: 720x5=3,600. 3,600 minutes is equivalent to 60 hours so it takes him 60 hours.
Answer:
B
Step-by-step explanation:
it is known that 8 tomato plants were planted in total
( 2 rows with 4 plants each equal to 8 plants in total)
however there is X amount of rows of squash with 7 plants in each row
therefore in an equation it would be y= 7x+8
