Answer:
see below
Step-by-step explanation:
The first equation is in slope-intercept form, so you can see that the boundary line has a slope of -2 and goes through the point (x, y) = (0, -4). Since the comparison is "<", the line is dashed and shading is below it.
The second equation is that of a vertical boundary line at x=-3. It is solid, because the comparison includes the "equal" case. Shading is to the right of it, where x values are greater than -3.
Answer:
144 cookies
Step-by-step explanation:
Since the 3 dozen cookies she baked was 1/4th the amount in total, all you have to do to find the total amount is multiply the fraction of the cookies 3 dozen (36) by 4.
36×4 = 144 cookies in total
Answer:
Her daughters age: 1/2x
Step-by-step explanation:
Let's say Rani's present age is x. Her age is twice the age of her daughter.
So if Rani's age is 20, her daughters age would be 10, because Rani is twice the age of 10; so 10 times 2 would be 20.
1/2(20)=daughter's age
so if you substitute x into 20 because we don't actually know Rani's age, it would be 1/2(x)=daughter's age.
hope this helped :-) <3
Answer:
after 75 minutes
Step-by-step explanation:
The least common multiple (LCM) of 15 and 25 is 75. It can be found a couple of ways:
1. List the factors of each number and find the product of the unique ones:
15 = 3·5
25 = 5²
The LCM is 3·5² = 75.
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2. Find the greatest common divisor (GCD) and divide the product of the numbers by that value. From the above list of factors, we see that 5 is the GCD of 15 and 25. Then the LCM is ...
15·25/5 = 75
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Or, you can simply list multiples of each number and see what the smallest number is that is in both lists:
15, 30, 45, 60, <em>75</em>, 90
25, 50, <em>75</em>, 100
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The two buses will appear together again after 75 minutes.