Answer:
Cost of one pencil: 
Cost of one eraser: 
Step-by-step explanation:
Let be "p" the cost in dollars of one pencil and "e" the cost in dollars of one eraser.
Based on the information given in the exercise, you can set up the following system of equations:

You can use the Elimination Method to solve the system of equations.
Multiply the first equation by -3 ad the second one by 4. Then add the equations and solve for "e":
{
Substitute the value of "e" into any original equation and solve for "p":

Answer:
<em>How many different ways can the letters of the word MATH be rearranged to form a four- ... 4 · 3 · 2 · 1 = 24 ways to spell a code worth with the letters MATH. ... example, coming in first means that you get the gold medal instead of the ... A group of four students is to be chosen from a 35-member class to represent the class.</em>
Step-by-step explanation:
Answer:
The total fluid you have to drink is 10 7/10 = 10.7 cups.
Step-by-step explanation:
The daily requirement of water = 8 2/4 cups
Now, 
or, the daily water requirement = 8.5 cups
The daily requirement of milk = 2 1/5 cups
Now, 
or, the daily milk requirement = 2.2 cups
So, The total fluid needed = Cups of (Water + Milk) needed
= 8.5 cups + 2.2 cups
= 10.7 cups
Also, 
Hence, the total fluid you have to drink is 10 7/10 cups.
The distance between the points A to B is 899.9 feet. After rounding off the nearest integer we get 900 feet as the final answer.
Given we know that CD is perpendicular to AD.
The distance between CD is 139 feet.
As from points A the boat's crew measure the angle of elevation to the beacon as 6°
therefore, m∠A = 6°
Another time the angle of elevation is measured from point B which is 19°.
therefore, m∠DBC = 19°
tan 19° = CD/BD
BD = CD/tan19°
BD = 136/tan 19°
now for tan 6° = CD/AD (tangent is opposite over adjacent)
AD = CD/tan 6°
AD = 136/tan 6°
AB = AD ₋ BD
AB = 136/tan 6° ₋ 136/tan 19°
AB = 1295.2 ₋ 395.3
AB = 900 feet
hence the distance from point A to B is 900 feet.
Learn more about Heights and distances here:
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Answer:
56
Step-by-step explanation:
8 times 7=56