8/15 or somthing like that it you might be souposed to solve it diferent than i did
You can solve the system of equations.
Multiply the first equation by -3 and add to the second equation.
-3x - 3y = -72
3x + 5y = 100
(add) --------------------------
2y = 28
y = 14
x + y = 24
x + 14 = 24
x = 10
Answer:
There are 10 3-points questions and 14 5-point questions.
Check: 10 + 14 = 24 There are 24 questions
10 * 3 + 14 * 5 = 30 + 70 = 100 The total number of points is 100.
Our answer is correct.
Answer:
.
Step-by-step explanation:
Given : 9,540,000
To find : Write 9,540,000 in expanded form using exponents to show powers of 10.
Solution : We have given 9,540,000
Here 9 is at million place 9000000
5 is at hundred thousand place = 500,000.
4 is at tens thousand place = 40,000
We expanded it as
9, 000,000 + 500,000+40,000.
In term of power of 10.
.
Therefore,
.
<u><em>Answer:</em></u>
The longest bread stick is approximately 16 in
<u><em>Explanation:</em></u>
The diagram representing the tray is shown in the attached image
From the diagram, we can note that the diagonal of the tray represents the hypotenuse of a right-angled triangle having legs 9.5 in and 13 in
<u>Therefore, to get the length of the hypotenuse, we can use the Pythagorean equation which is as follows:</u>
c² = a² + b²
where c is the length of the hypotenuse and a and b are the length of the two legs
<u>Substitute with the givens in the above equation to get the length of the hypotenuse as follows:</u>
c² = (9.5)² + (13)² = 259.25
c = 16.1 in which is approximately 16 in
<u>From the above, we can conclude that:</u>
The longest bread stick that can be fit straight along the diagonal of the tray is approximately 16 in
Hope this helps :)