The option that explains whether the student is correct is D. The student is completely incorrect because there is “ no solution “ to this inequality.
<h3>What is an inequality? </h3>
It should be noted that inequality simply means the relation between two expressions that aren't equal.
In this scenario, the given inequality is |x - 9| < -4. Based on the solution of the student, the student is completely incorrect because there is “ no solution “ to this inequality.
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Answer:
a)1 cup of flour
b)67.5 minutes
Step-by-step explanation:
a) A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?
From the above question, we know that:
27 dinner rolls = 3 cups of flour
9 dinner rolls = x
Cross Multiply
27 rolls × x = 9 rolls × 3 cups
x = 9 rolls × 3 cups/27 rolls
x = 1 cup of flour
Hence, 1 cup of flour is needed to make 9 dinner rolls
b) Mandy runs 4 km in 18 min. She plans to run in a 15 km race. How long will it take her to complete the race?
From the above question:
4 km = 18 minutes
15km = x
Cross Multiply
4km × x = 15km × 18 minutes
x = 15km × 18minutes/4km
x = 67.5 minutes
Hence, in a 15km race , it would take her 67.5 minutes to complete her race.
Equation of a circle with center at (h,k) and radius of r is
(x-h)²+(y-k)²=r²
so
center (-7,10) and diameter 6
remember, diameter/2=radius=6/2=3
so
equation is (x-(-7))²+(y-10)²=3²
(x+7)²+(y-10)²=9
Answer: 2
Step-by-step explanation:
Rate of change is another way of saying slope. Since slope is rise/run, this functions slope is 2/1 or just 2