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denis-greek [22]
3 years ago
5

Problem 1: The Jefferson Band is selling baked goods to raise money for their trip. Their goal is to

Mathematics
2 answers:
Evgen [1.6K]3 years ago
5 0

Answer:

334

Step-by-step explanation:

user100 [1]3 years ago
5 0
<h2>○=> <u>Correct option</u> :</h2>

\color{plum}\tt\bold{(a)  \: 250}

<h3>○=> <u>Steps to derive correct answer</u> :</h3>

Money Jefferson needs to collect = $500

Selling price of each baked good = $2

Cost price of each baked good = 0.50

Number of baked goods Jefferson need to sell to meet his goal :

=\tt  \frac{500}{2}  \times 0.50

=\tt 250 \times  0.50

\color{plum} =\tt 125 \: baked \: goods

Thus, Jefferson needs to sell 125 baked goods.

▪︎<em>Therefore, the correct option is (a) 125</em><em>.</em>

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8) through: (-3, -2), perp. to y = x – 1<br> A) y=-5x – 1 B) y=-4x – 5<br> C) y=-x – 5 D) y=-5x – 4
nexus9112 [7]

<u>Answer:</u>

The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

<u>Solution:</u>

Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)

We have to find the line equation which is perpendicular to above given line and passing through the given point.

Now, let us find the slope of the given line equation.

\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-1}=1

We know that, <em>product of slopes of perpendicular lines is -1. </em>

So, 1 \times slope of perpendicular line =  -1

slope of perpendicular line = -1

Now let us write point slope form for our required line.

\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right)

y – (-2) = -1(x – (-3))

y + 2 = -1(x + 3)

y + 2 = -x – 3

x + y + 2 + 3 = 0

x + y + 5 = 0

y = -x -5

Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

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Answer:  g = -4  and   h =1     or   g= -1  and h = -2

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If two exponents have the same base and are multiplied together,  you will keep the base unchange and add the exponents.  

So looking at the equation, the base is 2 for both and they are raised to the powers  g and h, meaning that if  g and h are added together they have  to equal -3.

So find two numbers that their sum is -3.

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