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:
Step-by-step explanation:
Given
Required
Cost of c cheese and f topping pizza
Solving for c cheese pizza
If 1 cheese pizza costs $6,
c cheese pizza would cost $6 * c
Solving for f topping pizza
If 1 topping pizza costs $10,
f topping pizza would cost $10 * f
Hence:
<em>Hence, the total amount paid is: </em>
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ANSWER
The solution is where the two graphs intersect, which is
EXPLANATION
The given system of equations are
and
We need to graph the two equations.
Let us graph
first.
We need at least two points.
You can choose any appropriate value for x and solve for y. Choosing zero makes our working easier. So let us plot the intercepts.
When
So this gives us the ordered pair,
When
we get,
This also gives the ordered pair
We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.
For the second line
We again find the intercepts and plot them.
When
This gives the ordered pair
Also, when
then we have,
Then we again have the ordered pair,
We plot these two points on the same graph sheet to obtain the red graph above.
The intersection of the two lines is
You will get good grades so don't worry much.
Answer:
The unknown value is being subtracted from 226 is 160
Step-by-step explanation:
Long division setup showing an incomplete calculation
- 2 hundreds and 1 tens is written in the quotient
- 3200 is subtracted from 3426 to give 226
- An unknown value represented by a box is being subtracted from 226
so,
The dividend = 3426
The divisor = 16
2 hundreds means 200 and 1 tens means 10
∵ The quotient = 200 + 10 + x
∵ Dividend = divisor × quotient
∴ (16 × 200) + (16 × 10) + (16 × x) +remainder = 3426
∵ 16 × 200 = 3200
Subtract 3200 from the dividend
∴ 3426 - 3200 = 226
∵ 16 × 10 = 160
∴ 226- 160 = 66
⇒160is the unknown value
∵ 16 × x = 16x
∵ 66 - 16x = 0
∴ 66 = 16x
- Divide both sides by 16
∴ x = 4 and remainder = 2
∴ 3426 ÷ 16 = 200 + 10 + 4
∴ 3426 ÷ 16 = 214
∴ From the steps above the missing number subtracted from
226 is 160
The unknown value is being subtracted from 226 is 160
Answer:
Reference angle is 
and tan
= -1
Step-by-step explanation:
lies in the 4th quadrant
and reference angle for angle in 4th quadrant is 2π - x , where x is the angle given.
and reference angle for is
2π- =
and tan = -tan = -1
Since tan is negative in 4th quadrant ,therefore value will be negative for the given angle.
