Answers:
What is the ratio? 120:2
What is the unit rate? 60:1
What is the rate? 60 jumping jacks per minute
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Further Explanation:
To find the ratio of jumping jacks to minutes, you just write the two values 120 and 2 separated by a colon. That's how we get 120:2 as our first answer.
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Once we have 120:2, we divide both parts by 2 to get 60:1
120/2 = 60
2/2 = 1
The reason why we do this is so that the "2 minutes" turns into "1 minute". A unit ratio has the time value in unit increments so we can see how many jumping jacks Samuel can do. Writing "60:1" means "60 jumping jacks in 1 minute"
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Saying "60 jumping jacks in 1 minute" is the same as saying "60 jumping jacks per minute", which is similar to a car's speed of something like 60 miles per hour. The unit "X per Y" is the template for speed, where X is the number of items you get done and Y is the unit of time. In this case, X = 60 jumping jacks and Y = 1 minute.
Let's solve your equation step-by-step.<span><span><span><span><span>−<span>4x</span></span>+3</span>+<span>7x</span></span>+1</span>=<span><span>8x</span>−26</span></span>Step 1: Simplify both sides of the equation.<span><span><span><span><span>−<span>4x</span></span>+3</span>+<span>7x</span></span>+1</span>=<span><span>8x</span>−26</span></span><span>Simplify: </span><span><span><span>3x</span>+4</span>=<span><span>8x</span>−26</span></span>Step 2: Subtract 8x from both sides.<span><span><span><span>3x</span>+4</span>−<span>8x</span></span>=<span><span><span>8x</span>−26</span>−<span>8x</span></span></span><span><span><span>−<span>5x</span></span>+4</span>=<span>−26</span></span>Step 3: Subtract 4 from both sides.<span><span><span><span>−<span>5x</span></span>+4</span>−4</span>=<span><span>−26</span>−4</span></span><span><span>−<span>5x</span></span>=<span>−30</span></span>Step 4: Divide both sides by -5.<span><span><span>−<span>5x/</span></span><span>−5</span></span>=<span><span>−30/</span><span>−5</span></span></span><span>x=6</span>Answer:<span>x=<span>6</span></span>
Answer:
The person's height must be greater than or equal to 55 inches to go on the ride
Step-by-step explanation:
Let
x -----> the height of the person
we know that
A person must be at least 55 inches tall to go on the carnival ride
The phrase " at least" means "greater than or equal to"
so
The inequality that represent this situation is
therefore
The person's height must be greater than or equal to 55 inches to go on the ride
Answer:
4
Step-by-step explanation:
The cost for plan 1 will be ...
p1 = 10 +5x
The cost for plan 2 will be ...
p2 = 30
These costs are equal when ...
p1 = p2
10 +5x = 30
5x = 20 . . . . . . . . subtract 10
x = 4 . . . . . . . . . . . divide by 5
The two plans will cost the same if a customer borrows 4 DVDs in a month.
B the answer is B
C the answer is C