Robert ate a carton of yogurt that contained 260 calories, a sandwich that contained 425 calories, and an orange that contained 95 calories.
How many calories did he consume in all?
a. 780
b. 355
c. 685
d. 520

780 calories

Step-by-step explanation:

Robert ate a carton of yogurt = 260 calories

he ate        a sandwich            = 425 calories

And he also ate an orange     = 95 calories

Altogether he consumed        = 260 + 425 + 95

                                                 = 780 calories.

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region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true