Answer:
See explanation
Step-by-step explanation:
Plot the solution sets to both inequalities.
1. For the inequality
First, plot the dotted line
(dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

so the origin does not belong to the needed part. Shade the part, which does not include origin.
2. For the inequality
First, plot the dotted line
(dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

so the origin does not belong to the needed part. Shade the part, which does not include origin.
3. Find the common region of these two shaded parts - this is the solution to the system of two inequalities.
Answer:
1) Divide the numerator by the denominator.
2) Write down the whole number result.
3) Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.
Step-by-step explanation:
not sure of this will help... but hope it does!
Answer: 42.21 km
Step-by-step explanation:
We can solve this using trigonometry, since we have the following data:
is the the angle of elevation
is the horizontal distance between the plane and the radar station
is the hypotenuse of the right triangle formed between the radar station and the airplane
Now, the trigonometric function that will be used is <u>cosine</u>:
because
is the adjacent side of the right triangle
Finding
:
Answer:
A) 250 / 8 = 31.25
31.25 x 8 = 250 Know you know that one pancake requires 31.25ml of Milk
31.25 x 4 = 125
So 4 pancakes requires 125ml of Milk
B) 5 / 8 = 0.625
0.625 x 8 = 5 So just like last time, you know that 0.625g of butter is required to make 8 pancakes
0.625 x 12 = 7.5g of Butter
So 12 pancakes requires 7.5g of butter.
Hope this makes sense !
Answer:
Katie is 6 years old and Thomas is 3 years old
Step-by-step explanation:
Given that we should let K and T be the current ages of two siblings, Katie and Thomas.
If Katie is currently twice the age of Thomas then,
K = 2T
and in 6 years, Katie will be 4 times Thomas's current age then
K + 6 = 4T
Solving both equations simultaneously by substituting the value of K given in the first equation into the second
2T + 6 = 4T
Collect like terms
6 = 4T - 2T
6 = 2T
Divide both sides by 2
T = 3
Recall that K = 2T
K = 2 * 3
= 6
Hence Katie is 6 years old while Thomas is 3 years old