Mrs. Ramiriz is making pies to sell at the local farmer’s market. It costs her $5 to make each pie, plus a one-time cost of $30 for baking supplies. She plans to sell the pies for $12 each. Which equation can be used to find the number of pies she needs to sell to break even?

Answers

Answer 1

Answer: We can represent the number of pies she makes to be x. We also need to add $30 to the equation to take the baking supply cost into consideration. The Cost can be represented by C. C = 5x + 30 is the equation to use to determine the Cost! 5 times the number of pies she makes plus the $30 for baking supplies! If we look at just the cost when she doesn't sell any pies, we can say x = 0 That means C = 5(0) + 30 or C = 30, it means that she has to pay $30 or the Cost is $30 when she sells no pies. This makes sense since the baking supplies were $30. Are you with me so far?

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URGENT!! Please help me with this as soon as possible!!

Answers

Answer: Choice B.

The statement is valid because the measure of the vertices located in the center of the pentagon is the quotient of 360 and 5, and the sum of two base angles in the given isosceles triangle is 108.

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Explanation:

Check out the diagram below. I have added x and y such that

x = base angle

y = vertex angle (located adjacent to center of polygon)

The pentagon is sliced up like a cake into 5 equal portions. Each vertex angle is y = 360/5 = 72 degrees.

The two base angles x must add with the vertex angle y to get 180

(angle1)+(angle2)+(angle3) = 180

x+x+y = 180

2x+y = 180

2x+72 = 180

2x = 180-72

2x = 108

This is true for any one of the five triangles. Notice that for angle LMN, we can divide it into LMQ and QMN where Q is the center of the polygon. Both of these angles are x. Since we've shown 2x = 108, we can see that LMN must also be 108 as well.

Choice A is close, but we wouldn't use the exterior angle theorem. Choice B is the better answer.

Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.Given:
∠C, ∠F are rt. ∠'s; AC = DF; ∠B = ∠E

HL
LL
HA
LA

Answers

∠C and ∠F are right angles. So, the triangles are right triangles.

AC = DF are the short legs of both triangles.

∠B = ∠E.

In this scenario, the postulate is ASA (Angle-Side-Angle)

The remaining sides that must be noted to prove that the triangles are congruent are the long legs and hypotenuse.

CB = FE can be LL for congruence where tt states that if the legs of one right triangle are congruent to the legs of another right triangle, then the triangles are congruent.

Nameof postulate or theorem that supports the conclusion that the triangles are congruent is Angle-side-Angle (ASA).

Given information:

$\angle C,\; \angle F$ are right triangle, $AC=DF;\angle B=\angle E$

From the figure,

$\Delta ACB\;\&\;\Delta DFE$ are right angletriangle.

$AC=DF \;\;\;\;\{\rm{given}\} \n\angle B=\angle E \; \;\;\;\;\{\rm{given}\}$

And $\angle C=\angle F=90^\circ$

$\Delta ACB\;\cong\;\Delta DFE$ { $ASA$ congruence rule}

Hence, Nameof postulate ortheorem that supports the conclusion that the trianglesare congruent Angle-side-Angle.

Learn more about Congruency of triangle here:

brainly.com/question/21718353?referrer=searchResults

Please help!The guidelines for a healthy adult are to maintain a Body Mass Index (BMI) between 19.5 and 24.9. A formula that relates the height of an adult to his or her weight and BMI is shown in the picture below, where h=height in inches, w=weight in pounds, and M=BMI.

1.) Find the formula that will directly calculate BMI given a person's height and weight.

2.) Chris weighs 211 pounds and has a BMI of 28.5. How many whole pounds must he gain or lose to get into the healthy BMI range?

Thank you!!

Answers

1. $h=40\sqrt{(.45w)/(M)}\Rightarrow(h^2)/(1600)=\frac{.45w}M\Rightarrow M=(720w)/(h^2)$

2. his BMI has to be reduced by 28.5-24.9=3.6

We must thus solve $(720w)/(h^2)=3.6$ thus $(720w)/(h^2)=3.6h^2/720=.005h^2$ . We can know his height using the first formula : $h=40\sqrt{(.45w)/(M)}=40\sqrt{(.45*211)/(28.5)}\approx73.01$

Hence he must lose $(73.01)^2*.005\approx26.6$ -> 27 pounds.

We check our result : $720*(211-27)/(73.01^2)\approx24.85<24.9$

To answer the first problem you are going to need to solve the equation for M (BMI). In order to do this you need to rearrange the variables h and w to one side of the equation, and M by itself on the other side. After doing this your equation should look like:
M = (0.45*w) / ((h / 40)^2)

For part 2 we must first solve for Chris' height so that we can find his healthy range. You should use the original equation for this. You should get 73.0105 inches as an answer. Now we must solve for his weight using 24.9 as the upper limit of the healthy BMI range as well as his height. You need a new formula solving for w. I am not going to put this formula here but I will just solve for W.
His healthy weight in pounds turns out to be 184.348 pounds. In order to get into this range, he must lose 211 - 184.348 = 26.6524 pounds. Since it asks how many whole pounds he must lose you should put 27 pounds as your answer.
Hope this helped!

The length of a rectangle is 3n+ 2 and its width is n-1. The perimeter of the rectangle is twice the sum of its length and its width. write an expression that represents the perimeter of the rectangle. Find the perimeter of the rectangle when n= 4 inches

Answers

Length, L = 3n + 2
Width, W = n - 1

Perimeter, P = 2*(L + W)

   = 2*( 3n + 2 + n - 1)

   = 2*(3n + n + 2 - 1)

   = 2*(4n + 1)

   = 2*4n + 2*1

   = 8n + 2

Perimeter = (8n + 2)

Perimeter, when n = 4, 8n + 2 = 8*4 + 2 = 32 +2 = 34

Perimeter = 34 inches.

A recipe calls for 2 tsp of butter. Melinda wants to make 40% more servings than the recipe makes.Which expression represents how many teaspoons of butter Melinda should use?
A.
0.6 * 2

B.
1.6 * 2

C.
0.4 * 2

D.
1.4 * 2

Answers

The correct expression to represent the additional 40% serving to the recipe that calls for 2 tsp of butter is:

1.4 * 2 = 2.8 tsp. Choice D.

Solve for d.
120 - 11d + 2d + 4d - 5 = 16

Answers

Answer:

120 - 11d + 2d + 4d - 5 = 16

-5d = - 99

5d = 99

D = 19.8

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