Answer:
The System of equation is
.
Step-by-step explanation:
Given:
Let 'x' be the number of questions worth 5 points.
Let 'y' be the number of questions worth 2 points
Total Number of Problems = 29
So the Total Number of Problems is equal to sum of the number of questions worth 5 points and the number of questions worth 2 points.
Framing in equation form we get;
.
Also Given:
Test is of Total Points = 100
Now Total points in test is equal to sum of the number of questions worth 5 points multiplied by and the number of questions worth 2 points multiplied by 2.
Framing in equation form we get;

Hence The System of Equations are
.
1. linear equation
2. rearrange the equation so 4y = 12 - 3× and then divide both sides by 4 to get:
y = 3 - 3/4×
3. equation of a straight line / linear equation
4. gradient is + 3
5. not sure sorry
6. 3x = 12 - 4y. Divide each side by 3 to get:
x = 4 - 4/3y
7. use y = 3 - 3/4x by doing and x and y table. So when x = 1, y = 3 - 3/4 (1) (replace the x which the x value you've chosen). Then plot.
8. Make up any problem such as weather, food, etc.
Hope that helps !
Answer:
14
Step-by-step explanation:
Arithmetic expressions are best evaluated using a reliable calculator. The Google calculator always follows the Order of Operations, so can give you a good answer to such questions.
(1/4)^-2 - (5^0)(2)(1^-1)
= 16 - (1)(2)(1) . . . . evaluate the exponents first
= 16 -2 . . . . . . . . . evaluate the product next
= 14 . . . . . . . . . . . finally, evaluate the sum
___
The rule of exponents is ...
a^-b = 1/(a^b)
SOLUTION:
For the marbles, 4 outcomes are possible.
For the cards, 2 outcomes are possible.
For the spinner, 2 outcomes are possible.
Thus, the total outcomes possible are;

Thus there are 16 possible outcomes.