Answer:
19 units, left
Step-by-step explanation:
You can use a graphing tool or create a graph to show how these lines relate to one another. Then, count the units that have been translated and where the translation occurred.
Answer:
0
Step-by-step explanation:
Let's solve your equation step-by-step.
5(−3x−2)−(x−3)=−4(4x+5)+13
Step 1: Simplify both sides of the equation.
5(−3x−2)−(x−3)=−4(4x+5)+13
5(−3x−2)+−1(x−3)=−4(4x+5)+13(Distribute the Negative Sign)
5(−3x−2)+−1x+(−1)(−3)=−4(4x+5)+13
5(−3x−2)+−x+3=−4(4x+5)+13
(5)(−3x)+(5)(−2)+−x+3=(−4)(4x)+(−4)(5)+13(Distribute)
−15x+−10+−x+3=−16x+−20+13
(−15x+−x)+(−10+3)=(−16x)+(−20+13)(Combine Like Terms)
−16x+−7=−16x+−7
−16x−7=−16x−7
Step 2: Add 16x to both sides.
−16x−7+16x=−16x−7+16x
−7=−7
Step 3: Add 7 to both sides.
−7+7=−7+7
0=0
Answer:
28 billion dollars
Step-by-step explanation:
The total spent on research and development by the federal government in the United States during 2002–2012 can be approximated by
billion dollars (2 ≤ t ≤ 12), where t is the year since 2000.
If t=6, that is, In the year 2006,


=28 billion dollars (To the nearest billion dollars)
In 2006, the federal government of the United States spent approximately $28 billion on research and development.
Answer:
80 Students were surveyed.
Step-by-step explanation:
To find the answer we need to do a Rule of Three. The Rule of Three is a Mathematical Rule that will help us to solve problems based on proportions.
1. I know that a 65% of students are 52 students. I need to know how many students represent that 100%.
2. So if 52 students mean _____ 65%
X students mean _____ 100%
Pay attention here. We have to put the same elements in the same columns. Students with studients and percentage with percentage.
3. Now I have to cross these details. I have to multiple 52*100. So:
52*100= 5200
4. Then divide that result by 65.
5200/65= 80
5. So 80 is the total number of students surveyed.