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Mnenie [13.5K]
3 years ago
9

Mrs. Aviles is planning a fruit-cup party for a class of 18 students and two teachers. She spends $10 for a package of snacks an

d also takes orders in advance for fruit cups that cost $3 each
Mathematics
1 answer:
beks73 [17]3 years ago
4 0

Answer:this is the explanation of the question you have to put what they are asking you too

Step-by-step explanation:

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Let f(x)=(18)3^x. find the equation of the line between the points (-2,f(-2)) and (1,f(1))
horsena [70]

\text{Given that,} \\\\f(x) = 18 \cdot 3^x \\\\f(-2) = 18 \cdot 3^{-2} = 2\\\\f(1) = 18 \cdot 3^1 = 54\\ \\\text{So,}~ (x_1,y_1) = (x_1, f(-2)) = (-2,2) ~\text{and}~ (x_2,y_2) = (x_2, f(1)) = (1,54)\\ \\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{54-2}{1+2} = \dfrac{52}3 \\\\

\text{Equation of line,}\\\\~~~~~~~y - y_1 = m (x-x_1)\\\\\\\implies y-2 = \dfrac{52}3(x+2)~~~~~~~~~~~;[\text{Point-Slope form.]} \\\\\\\implies y-2 = \dfrac{52}3x + \dfrac{104}3\\\\\\\implies y = \dfrac{52}{3}x + \dfrac{104} 3 +2\\\\\\\implies y = \dfrac{52}3 x +\dfrac{110}3 ~~~~~~~~~~~~~~~;[\text{Slope -Intercept form}]

6 0
2 years ago
Vincent and Jean are two cooks who work in a village. Each of them can either bake cakes or make pizzas. Every ingredient is rea
babymother [125]

Answer:

a) Jean b) Jean c) Vincent d) Jean              

Step-by-step explanation:

We are given the following information in the question.

Vincent can bake 10 cakes or make 5 pizzas

Jean can bake 12 cake or make 8 pizzas.

a) Absolute advantage of baking cake

Jean has the absolute advantage of baking cake as he can bake more cakes as compared to Vincent.

b) Absolute advantage of making pizza

Jean has the absolute advantage of making pizza as he can make more pizzas as compared to Vincent.

In order to find comparative advantage, we find the opportunity cost which can be defined as:

\text{Opportunity Cost} = \displaystyle\frac{\text{What one sacrifices}}{\text{What one gains}}

c) Comparative advantage in baking cakes

Opportunity cost of Vincent for baking cakes = \frac{5}{10} = \frac{1}{2}

Opportunity cost of Jean for baking cakes = \frac{8}{12} = \frac{2}{3}

The less is the opportunity cost the better, hence, Vincent has comparative advantage in baking cakes.

d) Comparative advantage in making pizzas

Opportunity cost of Vincent for making pizzas = \frac{10}{5} = 2

Opportunity cost of Jean for making pizzas = \frac{12}{8} = \frac{3}{2}

The less is the opportunity cost the better, hence, Jean has comparative advantage in making pizzas.

8 0
3 years ago
If the following fraction is reduced, what will be the exponent on the p? -5p^5q^4/ 8p^2q^2
viktelen [127]
<span>-5p^5q^4/ 8p^2q^2
= -5p^3q^2

</span><span>exponent on the p will be 3

answer
</span><span>C.3</span>
6 0
3 years ago
Read 2 more answers
Angelina is making flower bouquets. She has 24 tulips and 36 roses. She wants all the bouquets to be identical, containing the s
Lemur [1.5K]

Answer:

Therefore the maximum number of bouquets is 12.

Step-by-step explanation:

Given that, Angelina has 24 tulip and 36 roses.

To find the number bouquets, we need the find out the g.c.d (greatest common divisor) of 24 and 36.

24= 2×2×2×3

36=2×2×3×3

The common factors are = 2,2,3

The g.c.d of 24 and 36 is =2×2×3

                                         = 12

Therefore the maximum number of bouquets is 12.

7 0
4 years ago
Math homework help please thanks!
trapecia [35]

Answer:

x = 5

Step-by-step explanation:

I already answer this on another question you actually made, but here it is again:

To do this, you need to use the Thales theorem.

You can actually apply this theorem and choose two sides of the figure to do it.In this case, I will choose segment LM and MN and look for a ratio with DE and EF like this:

LM/MN = DE/EF

This theorem states that you can stablish a ratio between two segments assuming that you have at least two paralels lines, like DL || EM || FN

Therefore, it's time to replace the values of those segments and solve for X:

LM/MN = DE/EF

14/16 = 6x -9 / 4x + 4

7/8 = 6x - 9 / 4x + 4

7(4x+4) = 8(6x-9)

28x + 28 = 48x - 72

72 + 28 = 48x - 28x

100 = 20x

x = 100/20

x = 5

Read more on Brainly.com - brainly.com/question/13517023#readmore

4 0
3 years ago
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