Answer:
Fern will knit 32 scarves in 8 nights.
Step-by-step explanation:
Number of scarves knitted by Fern in 5 night = 20
Relation between number of scarves knitted and number of nights is proportional,
Therefore, Number of scarves knitted (s) ∝ Number of nights spent to knit the scarves (n)
s ∝ n
s = kn
k = 
Here, k = proportionality constant
For s = 20 and n = 5,
k = 
k = 4 scarves per night
For 8 nights, by using the same proportionality rule,
k = 
4 =
s = 32 scarves
Therefore, Fern will knit 32 scarves in 8 nights.
Answer: The hook would be 2.2 inches (approximately) above the top of the frame
Step-by-step explanation: Please refer to the picture attached for further details.
The top of the picture frame has been given as 9 inches and a 10 inch ribbon has been attached in order to hang it on a wall. The ribbon at the point of being hung up would be divided into 5 inches on either side (as shown in the picture). The line from the tip/hook down to the frame would divide the length of the frame into two equal lengths, that is 4.5 inches on either side of the hook. This would effectively give us two similar right angled triangles with sides 5 inches, 4.5 inches and a third side yet unknown. That third side is the distance from the hook to the top of the frame. The distance is calculated by using the Pythagoras theorem which states as follows;
AC^2 = AB^2 + BC^2
Where AC is the hypotenuse (longest side) and AB and BC are the other two sides
5^2 = 4.5^2 + BC^2
25 = 20.25 + BC^2
Subtract 20.25 from both sides of the equation
4.75 = BC^2
Add the square root sign to both sides of the equation
2.1794 = BC
Rounded up to the nearest tenth, the distance from the hook to the top of the frame will be 2.2 inches
Answer:
y=-7x+48 slope would be -7
Step-by-step explanation:
Used a Regression Calculator
Answer:
10.6
Step-by-step explanation:
1. First, we need to find which digits √(113) is between, and that would be 10 and 11.
2. Okay, so √(113) is between 10 and 11, meaning 113 is between 100 and 121.
3. Since 113 is a little over half between 100 and 121, let's multiply 10.6 by 10.6 to see how close we are to 113:
4. 112.36 is pretty close to 113, therefore, the dot on the number-line should be placed at 10.6.
