Answer:
Yes
Step-by-step explanation:
First, look for the hypotenuse (diagonal) of the base of the box. We have the two legs: 13 inches and 35 inches.
Set up an equation using the Pythagorean theorem:
Solve for C:
169 + 1225 = C^2
1394 = C^2
C ≈ 37.34
Now that we have the diagonal of the base, we know can move on to find the value of the interior diagonal. We have two legs: 13 inches and 37.34 inches.
Again, set up an equation using the Pythagorean theorem, and solve for the new C:
1563.2756 = C^2
C = 39.54
The interior diagonal of the box is approximately 39.54 inches long, which is longer than Kylie's baton, which is 38 inches long. So, she can fit the baton in the box.
Have a nice day! :)
Answer:
The answer is a _10×+8y=15
10. Kim gets $7 per hour and gets charged $1 for gloves
Use y to represent her pay and x to represent hours worked.
The equation is y = 7x - 1 because she gets 7 times x hours and there is a minus 1 because of the charge of gloves.
11. The table shows that each increasing hour, 8$ is added. Therefore we need to find the bonus that Kit receives just for showing up. This is when hours equals 0. If 3 hours is 27$ pay, then 2 hours is 19$ pay, 1 hour is 11$ pay and 0 hours is 3$ pay. We find that there is a 3$ bonus just for showing up.
Therefore the equation is y = 8x + 3
12. At x = 0, y = 2 so the y-intercept is 2. The slope is going down 4 and right one which means the slope is -4. The y-intercept is b and the slope is m. If we plug these values into the equation y = mx + b we get:
y = -4x + 2
13. At x = 0, y = -3 so the y-intercept is -3. The slope is going up 1 and right 4 which means the slope is 1/4. The y-intercept is b and the slope is m. If we plug these values into the equation y = mx + b we get:
y = 1/4 x - 3
Answer:
1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
x is the amount of sodium in 1oz of chips.
y is the amount of sodium in 1 cup of soda.
Bryan ate 4 oz of chips and drank 1 cup of soda for a total of 600mg of sodium.
This means that 
, also 
Jadyn ate 1 oz of chips and drank 4 cups of soda for a total of 300mg of sodium.
This means that:
From the first equation, we have that . So
1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.
157= one hundred and fifty seven
