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matrenka [14]
3 years ago
12

the 7th grade students at Palm Coast Middle School made some apples pies for a bake sale. The school cafeteria also donated 9 pi

es towards the effort. All the pies at the sale were cut into 8 pieces. If at least 224 pieces of pies were sold in all, how many pies did the students bake?​

Mathematics
2 answers:
Dominik [7]3 years ago
8 0
The students baked 19 pies. Cafeteria-9*8=72 slices of pie 224-72=152 152/8 is 19 ,19 pies
Cerrena [4.2K]3 years ago
8 0
224/8 -9= 19 pies that the students made
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I suck at math if you could help me with these questions that would be great
docker41 [41]

Answer:

Part 8) The triangles are not similar (see the explanation)

Part 12) The triangles are not similar (see the explanation)

Part 14) The area is increased by 125%

Part 15) h=30\ ft

Step-by-step explanation:

Part 8) we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

<em>Find the value of x in the larger triangle</em>

The sum of the interior angles in any triangle must be equal to 180 degrees

so

64^o+85^o+x=180^o

149^o+x=180^o

x=180^o-149^o

x=31^o

<em>Find the value of y in the smaller triangle</em>

The sum of the interior angles in any triangle must be equal to 180 degrees

so

26^o+85^o+y=180^o

111^o+y=180^o

y=180^o-111^o

y=69^o

so

The corresponding angles of both triangles are not congruent

therefore

The triangles are not similar

Part 12) we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The measure of the interior angles of the triangle of the left are

88°

29° ----> by vertical angles

and

180°-(88°+29°)=63° ---> the sum of the interior angles in any triangle must be equal to 180 degrees

The measure of the interior angles of the triangle of the right are

180°-91°=89° ----> the sum of a exterior angle and a interior angle is equal to 180 degrees

29°

and

180°-(89°+29°)=62° ---> the sum of the interior angles in any triangle must be equal to 180 degrees

so

The corresponding angles of both triangles are not congruent

therefore

The triangles are not similar

Part 14) we know that

If two figures are similar then the ratio of its areas is equal to the scale factor squared

In this problem the scale factor is 1.5

Because

100%+50%=150%=150/100=1.5

The scale factor squared is 1.5^2=2.25

That means that the new area is 2.25 times the original area

The area is increased by 125%

Part 15)

Let

h ----> the height of the pine

we know that

The height of the person divided by the length of his shadow is equal to the height of the pine tree divided by the length of its shadow

using proportion

\frac{6}{3}=\frac{h}{15}

solve for h

2=\frac{h}{15}

h=2(15)=30\ ft

6 0
3 years ago
Through: (-5,2), slope=-4/5
Oksana_A [137]

Answer:

<h2>y - 2 = -4/5(x + 5)</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

We have the slope m = -4/5 and the point (-5, 2). Substitute:

y-2=-\dfrac{4}{5}(x-(-5))\\\\y-2=-\dfrac{4}{5}(x+5)

7 0
3 years ago
Type the correct answer in each blank. Use numerals instead of words. If necessary, use / for the fraction bar(s). John hosts an
Law Incorporation [45]
We know that <span>John is hosting an art workshop on the weekends. </span>He has an average of 14 students in each session and charges a fee of $12 per session. <span>. He estimates that for every $2 increases in the fee, the average number of students reduces by 1. 

Therefore, we can conclude that </span><span>his revenue is 14 * 12 or 168 bucks. 

T</span><span>he session price goes up in a pattern of 2. 

For example, from 12 the session price goes to 14, 16, 18 and so on.  

As each jumps goes by 2, the amount of students drop by 1. 

(i.e from 14 students the number decreases to 13, to 12 and so on.) 

As we can see the</span> revenue begins at 168 and continues upward until it reaches 200 dollars and then starts to descend.

This indicates that the<span> U-turn or vertex of the revenue function is approximately 4200, where h represents 4, and k is 200. 

To solve we can use Parabola. 

</span>⇒  Parabola: any point is at an equivalent separation from: 

a settled point (the concentration ), and 

a settled straight line (the directrix )

____________________________________________________

f (x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.

⇒ \left \{ {{y=192} \atop {x=2}} \right. 

⇒ 192 = a(2-4)^2+200 

⇒ -8=a(-2)^2 

⇒ -8=a*2^2 

⇒ -8=a*4 

⇒ -8=4a 

⇒ -\frac{8}{4} =  \alpha 

⇒ \alpha = -2 

Now lets do the final step: Simplifying 

y-2(x-4)^2+200<span> 

y=-2(x^2-8x+16)+200 

y=-2x^2+16x-32+200 

c(x) = -2x^2+16x+168</span>

3 0
4 years ago
2m+2p =16 solve for m
Anna [14]
The answer would be m=12
7 0
3 years ago
What is a artafart and a Earth quack?
bekas [8.4K]
Aftershocks occur after the most major part of an earth quake happens. Earthquakes occur at fault lines near the tectonic border. They occur because of the sudden movement for staying rigid while they were edging closer and closer. So the sudden movement releases a large amount of tension buried deep below the earth creating or resulting in an earthquake.
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3 years ago
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