Answer:
24
Step-by-step explanation:
substitute the given values into the expression
2x - 3y + 5z
= 2(5) - 3( ) + 5(3)
= 10 - 1 + 15
= 9 + 15
= 24
To solve for the time it takes to travel a certain distance at a certain speed, use the formula,
time = distance / speed
Given that the entire journey takes four hours, add up the time it takes David to row upstream with that of him travelling downstream. This is mathematically represented as,
total time = time upstream + time downstream
4 = 3/(x - 1) + 3/(x +1)
Solving for x in the equation gives 2. Thus, David's speed in still water is 2 miles per hour.
Answer:
Ratios can be divided into part-to-part ratios and part-to-whole ratios. Part-to-part ratios provide the relationship between two distinct groups.Part-to-whole ratios provide the relationship between a particular group and the whole populations (including the particular group). For example, 3/5 of the students in the class are girls, or the mixture is 40% rye grass (40% is equivalent to saying 40 of every 100 parts).
Step-by-step explanation:
Answer:
15/2
or 7.5
or 7 1/2
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
Answer:
See Below
Step-by-step explanation:
To graph y ≥ 2, draw the line y = 2 and then shade above it and keep it a solid line because the sign is "≥". (This is the red inequality on the graph.)
To graph x ≤ -1, draw the line x = -1 and then shade to the left of it and keep it a solid line because the sign is ≤. (This is the blue inequality on the graph.)
The solution set to this system will be the area where the two shaded regions overlap, which is the purple area on the graph below. Hope this helps!