Answer:
Bonnie needs 
of ribbon
Step-by-step explanation:
we know that
A Kite is a quadrilateral that has two pairs of equal sides
so
To find out how much ribbon Bonnie needs calculate the perimeter of the kite
where
L1 is the length of one side
L2 is the length of the other side
Answer:
24
Step-by-step explanation:
The question is saying, how many three digit numbers can be made from the digits 3, 4, 6, and 7 but there can't be two of the same digit in them. For example 346 fits the requirements, but 776 doesn't, because it has two 7s.
Okay, on to the problem:
We can do one digit at a time.
First digit:
There are 4 digits that we can choose from. (3, 4, 6, and 7)
Second digit:
No matter which digit we chose for the first digit, there is only going to be 3 of them left, because we already chose one, and you can't repeat that same digit. So there are 3 options.
Third digit:
Using the same logic, there are only 2 options left.
We have 4 choices for the first digit, 3 choices for the second, and 2 for the third.
Hence, this is 4 * 3 * 2 = 24 three-digit numbers that can be made.
Answer:
C
Step-by-step explanation:
Graph C has a negative slope, just like the equation, and the y-intercept is at the point (0,1), just like the equation states.
If we assume that
x isthe number of multiple choice questions, and y is the number of word problems, we can write a system of equations like:
{ x + y = 38
{ 2x + 5y = 100
If we multiply the first equation by -2 we get:
{ -2x-2y = -76
{ 2x + 5y = 100
Now if we add both equations we get only equation with 1 unknown (y) :
3y = 24 ⇒ y = 8
Substituting the calculated value to the first equation we get:
x + 8 = 38 ⇒ x = 30
The solution:
{ x = 30
{ y = 8
means that:
The test had 30 multiple choice questions, and 8 word problems.
Answer:
Yes.
Step-by-step explanation:
To find the point of intersection we solve the system:
y = x + 3
y = -x + 7 Subtract:
0 = 2x - 4
2x = 4
x = 2.
She is correct.
