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2 years ago

15

In 2017, the top-selling frozen pizza brands, DiGiorno and Red Baron, together had sales of $1586.9 million. Red Baron’s sales w

ere $442.3 million less than DiGiorno’s. What were sales in millions for each brand?

1 answer:

antiseptic1488 [7]2 years ago

7 0

Subtract and u should get the correct answer and have the correct units

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Kevin and Marcus were comparing their ages. The same of their ages was at least 9 years but was at most 24 years. If Kevin is 6

saul85 [17]

<em><u>The inequality that represent age of marcus is:</u></em>

$24\geq 6+m\geq 9$

<em><u>The possible values for age of Marcus is:</u></em>

m = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18

<em><u>Solution:</u></em>

Given that,

The sum of ages of Kevin and Marcus was at least 9 years but was at most 24 years

Kevin is 6 years old

Let "m" be the age of Marcus

Thus we frame a inequality as:

$24\geq \text{ sum of ages } \geq 9$

at least 9 years means that "greater than or equal to 9"

at most 24 years means "less than or equal to" 24

From given,

Sum of ages = kevin age + marcus age

Sum of ages = 6 + m

Thus the inequality is:

$24\geq 6+m\geq 9$

Solve the inequality

$\mathrm{If}\:a\ge \:u\ge \:b\:\mathrm{then}\:a\ge \:u\quad \mathrm{and}\quad \:u\ge \:b\\\\24\ge \:6+m\quad \mathrm{and}\quad \:6+m\ge \:9\\\\Solve\ them\ separately$

$24\ge \:6+m\\\\\mathrm{Switch\:sides}\\\\6+m\le \:24\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6+m-6\le \:24-6\\\\\mathrm{Simplify}\\\\m\le \:18$

Now solve another inequality

$6+m\ge \:9\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6+m-6\ge \:9-6\\\\\mathrm{Simplify}\\\\m\ge \:3\\\\\mathrm{Combine\:the\:intervals}\\\\m\le \:18\quad \mathrm{and}\quad \:m\ge \:3\\\\\mathrm{Merge\:Overlapping\:Intervals}\\\\3\le \:m\le \:18$

$24\ge \:6+m\ge \:9\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:3\le \:m\le \:18\:\\ \:\mathrm{Interval\:Notation:}&\:\left[3,\:18\right]\end{bmatrix}$

<em><u>Thus possible values for age of Marcus is:</u></em>

m = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18

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2 years ago

What is the arclength of PQ

balu736 [363]

Given:

θ = 54°

Radius = 10 in

To find:

The arc length of PQ

Solution:

Arc length formula:

$$\text{Arc length}=2 \pi r\left(\frac{\theta}{360^\circ}\right)$

$$\text{Arc length}=2 \times 3.14 \times 10\left(\frac{54^\circ}{360^\circ}\right)$

= 9.42 in

The arc length of PQ is 9.42 inches.

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2 years ago

Whats the answer to this

EleoNora [17]

Is where the line is horizontal

1 =< x <= 6

Its B

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The answer is 8 by itself i think

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kati45 [8]

This kinda took a lot of effort but hope it helps

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