Mrs. Lin had two dozen pencils. She gave them to four students and asked them to share equally among them. How many pencils should each student get?

The mix fraction as an improper fraction is 11/7.

We have,

Mix fraction:

1(4/7)

This can be simplified as an improper fraction:

= {(7 x 1) + 4} / 7

= (7+ 4) / 7

= 11/7

Thus,

The mix fraction as an improper fraction is 11/7.

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Answer:

es la tercera amiga yo pienso

The vertex of the function f(x) = x² + 12x is,

⇒ Vertex = (- 6, - 36)

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x) = x² + 12x

Now, We can change the function into the form,

f (x) = (x - h)² + k

Where, (h, k) is vertex.

Here, The function is,

⇒ f (x) = x² + 12x

⇒ f (x) = x² + 12x + 36 - 36

⇒ f (x) = (x + 6)² - 36

⇒ f (x) = (x - (- 6))² + (- 36)

Hence, By comparing,

Vertex = (h, k) = (- 6, - 36)

Thus, The vertex of the function f(x) = x² + 12x is,

⇒ Vertex = (- 6, - 36)

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Answer:

1390

Step-by-step explanation:

The triangles are 8*15* 2 and that equals 240. now you have 3 rectangles so solve so 23*17 is one another is 17*23 and the last one is 16*23 and that all equals 1150. so now you add 240 and 1150= 1390

Answer:

r = 9 units

Step-by-step explanation:

[tex] In\: \odot O, [/tex] QP is tangent at point P and OP is radius.

[tex] \therefore OP\perp QP[/tex]

[tex] \therefore m\angle OPQ = 90\degree [/tex]

So, [tex] \triangle OPQ[/tex] is a right angled triangle. Hence, OQ will be its HYPOTENUSE such that OQ = r + 32

Now, by Pythagoras theorem:

[tex] OQ^2 = OP^2 + PQ^2 [/tex]

[tex] \therefore (r + 32)^2 = r^2 + (40)^2 [/tex]

[tex] \therefore\cancel {r^2} + 64r + 1024 = \cancel {r^2} + 1600 [/tex]

[tex] \therefore 64r = 1600-1024 [/tex]

[tex] \therefore 64r = 576 [/tex]

[tex] \therefore r = \frac{576}{64}[/tex]

[tex] \therefore r = 9[/tex]

Answer:

Percentage of water consumed = 20 %

Equivalent amount of water to 100 ounces = 20 ounces

Step-by-step explanation:

The total amount of water consumed by her daily = 70 ounces

The total amount of water consumed by her before ride = 14 ounces

Percentage of water consumed = total amount of water consumed by her before ride /total amount of water consumed by her daily * 100

Substituting the given values we get

[tex]\frac{14}{70} * 100\\\frac{100}{5} \\20[/tex]%

Equivalent amount of water to 100 ounces = 20 ounces

Answer:

D

Step-by-step explanation:

3*3 =9

9*9*9*9= 6561

6561*6561*6561*6561=282429536481

Therefore is equal to 81^6 because 81*81*81*81*81*81= 282429536481

Answer:

3

Step-by-step explanation:

because 12/4 = 3

now divide 9 by 3 so you get 9/3 = 3

Answer:

The answer is -21

Step-by-step explanation:

0.5(5 - 7x) = 8 - (4x + 16)

2.5 - 3.5x = 8 - 4x - 16

3.5x - 2.5 = 4x - 8 + 16

3.5x - 4x = 2.5 - 8 + 16

-0.5x = 10.5

x = 10.5/(-0.5)

x = -21

Thus, The answer is -21

-TheUnknownScientist

Step-by-step explanation:

[tex]\huge\mathcal\pink{here's your solution} \\ \\ 0.5(5 - 7x) = 8 - (4x + 16) \\ \\ 2.5 - 3.5x = 8 - 4x - 16 \\ \\ - 3.5x + 4x = - 8 - 2.5 \\ \\ 0.5x = 10.5 \\ \\ x = 10.5 \div 0.5 \\ \\ x = 21 \\ \\ \huge\mathfrak\purple{hope \: it \: helps..}[/tex]

Answer:

b

Step-by-step explanation:

it says range and that varies and is different so it hold the most variability I think

Answer:

314.882

Step-by-step explanation:

789.81 − 474.928 = 314.882

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Answer:

61 degrees

Step-by-step explanation:

TRUST ME I JUST DID THE IMAGINE MATH LESSON. !!!!

The measure of ∠XYZ in right triangle is 90 degrees.

It has two equal sides, and those two equal sides make 90 degrees (right angle) internally. An isosceles triangle has two of its side length of same measure.

Let the considered isosceles triangle has two same lengthed sides of 'a' units.

Let its third side be of 'b' units.

Then, if we drop a perpendicular from the vertex joining similar sides to the opposite side, the opposite side is cut in half, each of length b/2 units.

We are given that;

A right triangle △WXY and △WZY

Now,

Let's label ∠WZY as α, so we have:

∠WZY = α

∠WYZ = α

Since the sum of the angles in a triangle is 180 degrees, we can find ∠WYX of △WXY:

∠WYX = 90 - ∠WXY

Now, we can use the fact that ∠WXY and ∠XYZ are complementary angles of a right triangle, so:

∠WXY + ∠XYZ = 90

Substituting ∠WYX for ∠WXY, we get:

∠WYX + ∠XYZ = 90

90 - ∠WXY + ∠XYZ = 90

∠XYZ = ∠WXY

Therefore, we can conclude that ∠XYZ is equal to ∠WYX, which is the angle opposite to the hypotenuse in a right triangle. So, we have:

∠XYZ = 90 degrees

Hence, in the given right triangle answer will be 90 degrees.

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-(2)(-3)^2 =

-(2)(9) =

-18 :)

Answer:

C. The scale factor is less than one.

Step-by-step explanation:

By definition, similar triangles have equal angles and proportional corresponding side lengths. Thus, A, B, and D are all mutually exclusive, leaving C the only possible answer. Upon further inspection, the scale factor is indeed greater than one (each side length is scaled by a factor of two, which is large than one)

Answer:

64 degrees is the answer

Answer:

The area is 51 units squared.

Step-by-step explanation:

Since you are finding the area of a triangle, you first start with 12 x 8.5 = 102.

Then, you divide 102 in half, since the shape is a triangle. So, 102 ÷ 2 = 51.

So the answer is 51 units squared.

Hope this helps!

Answer: 72

Step-by-step explanation:

30+48=78

√78^2-30^2=

√5184=

72

If AO = 30, BC = 48 then, AB = 72.

"Tangent to a circle is the line that touches the circle at only one point."

"A tangent to a circle is always perpendicular to the radius of a circle."

For given question,

AB is tangent to circle.

Also, AO = 30, BC = 48

From figure, we can observe that,

AO = CO                            .......................(radius of circle)

⇒OC = 48

Also,

OB = OC + BC

⇒ OB = 30 + 48

⇒ OB = 78

We know, a tangent to a circle is always perpendicular to the radius of a circle.

⇒ AB ⊥ AO

This means, ΔAOB is right triangle.

Using Pythagoras theorem to right triangle AOB,

⇒ [tex](OB)^{2} = (AO)^{2} + (AB)^{2}[/tex]

⇒ [tex](AB)^2 = (OB)^{2} - (AO)^{2}[/tex]

⇒ [tex](AB)^2=(78)^2-(30)^2[/tex]

⇒ [tex](AB)^2=5184[/tex]

⇒ [tex]AB=\sqrt{5184}[/tex]

⇒ [tex]\bold{AB=72}[/tex]

Therefore, option (D) is the correct answer.

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Answer:

The slope is 1 I believe.

Answer:

The Slope is 1

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

1

1

= 1

θ =  

arctan( ΔY )

ΔX

= 45° =  

1

4

π

ΔX = 7 – -3 = 10

ΔY = 6 – -4 = 10

Distance (d) = √ΔX2 + ΔY2 = √200 = 14.142135623731

Equation of the line:

y = x – 1

When x=0, y = -1

When y=0, x = 1

Explanation:

This may seem like a trick question, but it's not. Your teacher simply wants to know how many times you got blue out of the number of times total. The numerator is the number of blue. The denominator is the number of total tries.  The fraction 11/50 cannot be reduced because 11 and 50 share no common factors other than 1.

Notes:

Answer:

P(B,R) = 24.490%

Step-by-step explanation:

P(B,R) = 6/14 x 8/14 which can be simplified to become 12/49 or 24.490%

Answer:

Alternate exterior angles

Step-by-step explanation:

Answer:

High

Step-by-step explanation:

Lets look at the chart, and see how similar each value is:

At 11, there is:

Both have 1 point. THis is similar

At 12:

Both have 1 point. This is similar

At 13:

One has 1 point, the other has 2 points. This is not similar

Next we have 14:

Both have 2 points. This is similar

15:

Both have 4 points. THis is similar

16:

Both have 3 points. This is similar

17:

One has 2 points the other has 1 point. This is not similar

So,  5 out of the 7 poitns are similar

And remember, the two points that are not similar are only off by 1.

So I would conclude that they are highly similar.

Hope this helps!