Keri and Samantha are equally splitting the cost of party supplies for their mom's surprise birthday party. The total cost of the party supplies was $316. How much money did they each spend?

Answer:

Step-by-step explanation:

1) [tex]\overline{AC}[/tex] bisects [tex]\overline{BD}[/tex] and [tex]\overline{BC} \parallel \overline{AD}[/tex] (given)

2) [tex]\overline{AE} \cong \overline{EC}[/tex] (a bisector splits a segment into two congruent parts)

3) [tex]\angle BCE \cong \angle EAD[/tex] (if two parallel lines are cut by a transversal, the alternate interior angles are congruent)

4) [tex]\angle CBE \cong \angle EDA[/tex] (if two parallel lines are cut by a transversal, the alternate interior angles are congruent)

5) [tex]\triangle BEC \cong \triangle DEA[/tex] (AAS)

Answer:

Im pretty sure its 144 cm

Step-by-step explanation:

Answer:

What? I think you forgot to attach the picture.

solve the equation:-

[tex] - 7n + m[/tex]

[tex] m = - 1.2 \\ n = - 4.8[/tex]

Putting the value:-

[tex] - 7( - 4.8) + ( - 1.2) \\ - 33.6 - 1.2 \\ - 34.8[/tex]

The maximum amount of profit the company can make is 9274

Differentiation is the rate of change of one quantity with respect to the other.

It is the ratio of the change in one quantity, usually the dependent quantity to the change in another related quantity, usually the independent quantity.

Analysis:

y= -6x^2 + 600x - 5726

differentiating the equation,

dy/dx = -12x + 600

for maximum selling price, dy/dx = 0

-12x + 600 = 0

12x = 600

x = 50

The maximum selling price is 50, so substituting x to find y

y = -6(50)(50) + 600(50) - 5726 = 9274

In conclusion, the maximum amount of profit the company can make is 9274.

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Answer:

176

Step-by-step explanation:

you multiply the numbers 4 4 and 11 to get 176

Answer:

87 days

Step-by-step explanation:

First if she already made 304 cranes and she makes 8 a day. Simply divide 304 by 8. You would then get 38. Next divide 1,000 by 8. You would get 125. You would subtract the total from how many days you need; 125, to how many days you already spent; 38. 125 - 38 = 87. 87 days are needed to make paper cranes.

There are four ways to fold the square into half and the number of ways to fold the letter G is 0

A square has 4 lines of symmetry.

Each line of symmetry divides the square into half

This means that the square can be folded in any of its line of symmetry to get one half

Hence, there are four ways to fold the square into half

The letter G has no line of symmetry.

This means that the letter cannot be folded so that the halves fit perfectly

Hence, the number of ways to fold the letter G is 0

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A) the angles

Similar triangles are triangles that have the same shape but different sizes.

Angles

Since similar triangles have the same shape, all of the angles must be congruent. If any of the angles are different sizes, then the shape of the entire triangle would change.

Sides

The sides of a similar triangle are not necessarily congruent. However, because all of the angles are congruent, the sides are proportionate. This means that if you are given the sides and angles of one triangle, you can find the sides and angles of any similar triangle.

Answer:

Cylinder: [tex]V_c = 80 \pi \approx 251.33[/tex]

Rectangular prism: [tex]V_r = 384[/tex]

Total: [tex]V = 80\pi + 384 \approx 635.33[/tex]

Step-by-step explanation:

The volume of the cylinder:

[tex]V_c = \pi r^2 h\\V_c =\pi4^2 \times 5\\V_c = 80\pi\\V_c \approx 251.33[/tex]

The volume of the rectangular prism:

[tex]V_r = lwh\\V_r = 12 \times 8 \times 4\\V_r = 384[/tex]

The total volume:

[tex]V = V_c + V_r\\V = 80\pi + 384\\V \approx 635.33[/tex]

Applying the property of exponents, the simplest radical form of [tex]\frac{1}{x^{-\frac{3}{6} }}[/tex] is: [tex]\sqrt{x}[/tex].

The property of exponents that can be used to solve this problem are:

[tex]a^{-m} = \frac{1}{a^m} \\\\ a^{\frac{1}{2} } = \sqrt{a}[/tex]

Given the expression, [tex]\frac{1}{x^{-\frac{3}{6} }}[/tex], applying the property of exponents, we would simplify the expression as shown below:

[tex]\frac{1}{x^{-\frac{3}{6} }} = x^{\frac{3}{6} }[/tex]

Reduce the fraction

[tex]= x^{\frac{1}{2} }\\\\ = \sqrt{x}[/tex]

Therefore, [tex]\frac{1}{x^{-\frac{3}{6} }} = \sqrt{x}[/tex]

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Answer:

9(5x^3-1)

Please Vote Me Brainliest. Thank You.

Answer:

Rounded it is 66.7%

Step-by-step explanation:

24-8=16

Then find the percentage of 16 out of 24.

Answer:

33.33333%

Step-by-step explanation:

24 divided by 8=3

Answer:

Your answer is B

y < x

y ≥ -x

Step-by-step explanation:

6.14 Checkpoint: Systems of Linear Inequalities

I took the test.

Answer:

B is correct because I too took the test.

6.14 Checkpoint: Systems of Linear Inequalities

Step-by-step explanation:

You're welcome.

It depends on the size of the portion and you divide that size by 3 and the result comes out

Answer

[tex]y=4* 8 -12\\[/tex]

Step-by-step explanation:

4 x 8 = 32

y=32-12

y=20

Answer:108

mark me brainliest

Step-by-step explanation:8 pieces of glass uses 1 sqft. glass window. 864 sqin. required = = 108 pieces. Number of pieces required for 864 sq.inches = 108 pieces.

The value [tex]8\times 10^{-3}[/tex] is about 2000 times greatest as [tex]4\times 10^{-6}[/tex]

Exponents, also known as powers, are values that show how many times to multiply a base number by itself.

Here we have the values  [tex]8\times 10^{-3}[/tex] and [tex]4\times 10^{-6}[/tex]

Now to compare the value we will write [tex]4\times 10^{-6}[/tex] as [tex]0.004\times 10^{-3}[/tex]. We will divide the value  [tex]8\times 10^{-3}[/tex] by the value [tex]4\times 10^{-6}[/tex]  So it will give us 2000.That means that the value [tex]8\times 10^{-3}[/tex] is 2000 times them the value [tex]4\times 10^{-6}[/tex]

[tex]\dfrac{8\times 10^{-3}}{0.004\times 10^{-3}}=2000[/tex]

So value [tex]8\times 10^{-3}[/tex] is about 2000 times greatest as [tex]4\times 10^{-6}[/tex]

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There is no association in scatter plot of the annual tuition and parent rating of the 12 private schools

We can see that the points on the scatter plot are scattered, and they do not follow a specific pattern.

This means that there is no association in scatter plot

A point that would affect the appropriateness is a point that is relatively far from other data points i.e. an outlier

An example of this point is the point between x = 8000 and 10000 and y = 0 and 10

This school would have a high rating and a medium or not so high cost

From the scatter plot, an example of a school that has this feature have a tuition close to $6000 and rating close to 90

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Answer:

z = 0

y = -3x/2 + 3

Step-by-step explanation:

6x + 4y + z = 12

6x + 4y + 2z = 12

6x + 4y + 3z = 12

Second equation minus first equation:

z = 0

If you plug in z = 0 in all the original equations, you get a single equation:

3x + 2y = 6

The best you can do is to solve for y in terms of x.

y = -3x/2 + 3

Answer:

z = 0

y = -3x/2 + 3

Answer:

D. word count has no apparent relationship to the score of the essay

Step-by-step explanation:

ya its D ANYWAYSSSSSS

[tex]-2x+5y +3=0~~~~~~.....(i)\\\\x-4y -12=0~~~~~~,,,,(ii)\\\\\\~~~~~~~~\dfrac{x}{5(-12)-3(-4)} = \dfrac{y}{3\cdot 1 -(-2)(-12)}=\dfrac{1}{(-2)(-4)-5\cdot 1} \\\\\\\implies \dfrac{x}{-60+12}= \dfrac{y}{3-24} = \dfrac1{8-5}\\\\\\\implies -\dfrac{x}{48}=-\dfrac y{21} = \dfrac 1{3}\\\\\\\implies x = -\dfrac{48}{3},~~~ y = -\dfrac{21}{3}\\\\\\\implies x = -16, ~~~~ y = -7[/tex]

Answer:

0.101

Step-by-step explanation:

[tex]speed = \frac{distance}{time} [/tex]

We have speed, and we have distance. So let's rearrange to get time:

[tex]time = \frac{distance}{speed} [/tex]

Let's plug in our numbers (make sure to times distance by 1000 to convert to metres):

[tex]time = \frac{30425000}{3.0 \times {10}^{8} } [/tex]

Which leaves us with:

[tex]time = \frac{1217}{2 ^ {5} \cdot 3 \cdot 5 ^ {3}} \approx 0.101416667[/tex]

The number of zeros of the given Polynomial which are α, β and γ are; A:3

We are given the Polynomial;

x³ - 8x² + 4x - 4 = 0

From online polynomial root calculator, to roots of the Polynomial are;

7.54, 0.23, 0.23.

α = 7.54

β = 0.23

γ = 0.23

Thus, we see that there are three roots of the Polynomial. although the latter 2 are imaginary roots.

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The two possible answers for the third side of the right triangle are 6 and 24.

The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

So, a difference of two sides <x< sum of two sides, will give you the possible length of a triangle.

Sarah said, "There is only one possible third side for a right triangle with two sides measuring 9 units and 15 units.'

The two possible answers for the third side of the right triangle are;

[tex]\rm 15-9 < x < 15+9\\\\6 < x < 24[/tex]

The possible length of the third side of a triangle.

For checking the possible length:

15 + 9 > 7 (a+b>c)

9 + 7 > 15 (b+c>a)

7+ 15 >9(a+c>b)

Which satisfy the triangle inequality theorem.

Hence, the two possible answers for the third side of the right triangle are 6 and 24.

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Answer:

answer is X= 175

Step-by-step explanation:

all you had to do is to get rid off both 5 on left which would leave you with x and on right side the answer to 35×5 is 175