Answer:
The difference between a rate and a unit rate is that a rate is a ratio between two different units of measure. In comparison, a unit rate is a ratio between two different units of measure for a single thing. I hope this helps! :)
Step-by-step explanation:
Answer: a ratio consists of two numbers such as 10:5 while a unit rate is the rate that something is going at
Step-by-step explanation:
Write the system of equations in Slope-Intercept Form from the graph below.
Answer:
y > -2x +3 . . . . line Ay ≤ x . . . . . . . . line BStep-by-step explanation:
You want the equations for the inequalities shown on the graph.
Line AThe downward sloping dashed line crosses the y-axis at y=3. It has a "rise" of -2 units for each 1 unit to the right. Its slope is rise/run = -2/1 = -2.
The equation for this boundary line can be written ...
y = -2x +3
The graph is shaded above this line, which is not included in the solution. The inequality graphed is ...
y > -2x +3
Line BThe upward sloping solid line crosses the y-axis at y=0 and has a rise of 1 for each run of 1 unit to the right. Its slope is 1/1 = 1, and its y-intercept is 0.
The equation for the boundary line can be written ...
y = 1x +0
The graph is shaded below the solid boundary line, so the boundary is included in the solution. The inequality graphed is ...
y ≤ x
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Find the sum of all the natural numbers from 1 and 400, inclusive, that are not divisible by 11.
Answer: 72874
Step-by-step explanation:
To solve this, you can first find the sum of all numbers from 1 to 400. Using the formula for arithmetic series, you can get 1+2+3+4...+400=80200. Then, you can subtract all multiples of 11 from 1 to 400. That is 11+22+33+44+...+396. Dividing all numbers by 11, we have the new arithmetic series 1+2+3+4..+36, which using the formula, equals 666. Multiply this by 11 to get 7326 and subtract from 80200 to get 72874.
The product of 6, and a number increased by 2, is -24. What is the number?
Answer:
-30
Step-by-step explanation:
(x+2)+6=-24
(-30)+2)+6= -24
-28+6= -24
-24=-24
Answer: -10
Step-by-step explanation: