21 boys and 14 girls. What is the ratio of girls to boys in Ms. Hawthorne's class?

Answer:

y= 4/7x -1  

Step-by-step explanation:

solve for y first in 4x-7y=9, which becomes y = 4/7x - 9/7, then since its a parallel line the slope stays the same which is 4/7. Then plug into this equation: y =mx+b, in which you plug in the point for the x and y values and you plug in the slope for m, so the equation becomes, 3 = (7)(4/7) + b and now solve for b in which b = -1 and now write the equation using all the corresponding things so the equation becomes: y= 4/7x -1  

Answer:

We can calculate what did he get, as we know he sold 17 vasess for 3.25 dollars each of them, we can multiply:

17 * 3.25 = $55.25

Now, we know he got 55.25 dollars but he spent 16.21, so we substract:

55.25 - 16.21 = $39.04

His profit selling that is of 39.04 dollars..

Answer:

A.

Step-by-step explanation: Because as you see the dot is past the 2 and is on the third line out of 4, the 4th line is the next number.

Answer:

2nd answer

Step-by-step explanation:

Answer:

Answer in photo

Step-by-step explanation:

Answer:

The solutions to the system of equations are:

[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}[/tex]

isolate 'x' for 2x-y

[tex]2x-y=65[/tex]

Add y to both sides

[tex]2x-y+y=65+y[/tex]

[tex]2x=65+y[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}[/tex]

[tex]x=\frac{65+y}{2}[/tex]

[tex]\mathrm{Subsititute\:}x=\frac{65+y}{2}[/tex]

isolate 'y' for  [tex]5y=\frac{65+y}{2}[/tex]

[tex]5y=\frac{65+y}{2}[/tex]

[tex]10y=65+y[/tex]

subtract y from both sides

[tex]10y-y=65+y-y[/tex]

[tex]9y=65[/tex]

Divide both sides by 9

[tex]\frac{9y}{9}=\frac{65}{9}[/tex]

[tex]y=\frac{65}{9}[/tex]

[tex]\mathrm{For\:}x=\frac{65+y}{2}[/tex]

[tex]\mathrm{Subsititute\:}y=\frac{65}{9}[/tex]

[tex]x=\frac{65+\frac{65}{9}}{2}[/tex]

[tex]x=\frac{325}{9}[/tex]

The solutions to the system of equations are:

[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]

Answer:

I don't really know about this sorry sorry

Answer:

✨ B

Step-by-step explanation:

✨Hope this helps✨

Complete question :

A restaurant customer left ​$0.90 as a tip. The tax was 8% and the tip was ​10% of the after tax cost. Which information is not needed to compute the bill after tax and​ tip? What was the total​ bill?

Answer:

The tax percentage

9.9

Step-by-step explanation:

Guven that :

Amount of tip left = 0.90

Tip left = 10% of after tax cost

Tax % = 8%

If tip left = 10% of after tax cost; then ;

If after tax cost = x

10% of x = 0.90

0.1x = 0.9

Hence the percentage tax isn't needed :

To obtain the total bill:

Let total bill = y

y = after tax cost and tip

Hence,

y = x + tip

y = x + 0.9

From : 0.1x = 0.9 ; x = 0.9/0.1 = 9

Hence,

Total bill:

y = 9 + 0.9

y = 9.9

Answer:

15.4%

Step-by-step explanation:

Calculate the volume of both containers.

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

[tex]V_{A}[/tex] = π × 10² × 11 = 1100π ft³

[tex]V_{B}[/tex] = π × 7² × 19 = 931π ft³

Subtract volume of B from volume of A to find quantity left in A

quantity left in A = 1100π - 931π = 169π ft³

To calculate the percentage left in A after B has been filled

[tex]\frac{left}{full}[/tex] × 100%

= [tex]\frac{169\pi }{1100\pi }[/tex] × 100%

= [tex]\frac{169}{1100}[/tex] × 100%

= 15.4% ( to the nearest tenth )

Answer:

you spell it bully

hope it helps you out :)

Answer: it’s spelled Bully

Step-by-step explanation: B-U-L-L-Y

Answer:

I believe that the answer is 8 because you have 1 inch =1/8 inch since you need eight 1/8 inches to equal one whole inch, it should be 8 inches

Step-by-step explanation:

The scale factor of the drawing if the scale is 1 inch = 1/8 inch is

A scale drawing is a drawing made by enlarging or reducing the size of the original object.

The factor by which the drawing is enlarged or reduced is called the scale factor.

Given that,

Scale of a drawing is,

1 inch = 1/8 inch

That is, a drawing is drawn for which it is drawn 1/8 inch for actual dimension of 1 inch.

So, drawing is reduces by 1/8

So scale factor = 1/8

Hence the scale factor of the drawing is 1/8.

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Answer:

Step-by-step explanation:

C

The theorem that applies is Similar SAS.

The correct option is C.

Those triangles look the same but are different in size.

And in similar triangles,

the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.

Given information:

SM = 27, angle SMA = 31 degrees, MA = 15, DL = 9, LE = 5 and Angle DLE = 31 degrees.

From the given information, we know that angle SMA is congruent to angle DLE because they both have a measure of 31 degrees. However, we do not have any information about the other angles in the two triangles.

To check if the corresponding sides are proportional, we can compare the ratios of the corresponding side lengths:

SM/ DL = 27/9 = 3

MA/LE = 15/5 = 3

Since the ratio of SM to DL is equal to the ratio of MA to LE, we know that the corresponding sides are proportional.

Therefore, we can use the Similarity-SAS (Side-Angle-Side) postulate to conclude that the triangles are similar. The postulate states that if two pairs of corresponding sides are proportional and the included angles are congruent, then the triangles are similar.

The answer is (C) Similar - SAS.

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Answer:

90° degrees

Step-by-step explanation:

cause if you look closely inside the semi circle is a right angle and a right angle is 90°

Answer:

[tex]\triangle KLM \sim \triangle GFH[/tex]

Step-by-step explanation:

In similar triangles, the corresponding angles must be congruent. We see from the diagram that [tex]\angle K \cong \angle G[/tex], [tex]\angle L \cong \angle F[/tex], and [tex]\angle M \cong \angle H[/tex]. Therefore, [tex]\triangle KLM \sim \triangle GFH[/tex].

Answer:

1) rational

2) Irrational

3)rational

4) irrational

5) rational

Step-by-step explanation:

If it has a whole number answer and doesn't have never ending number its rational

Answer:

15x-5=y

Step-by-step explanation:

The equation of the line will be written as y = 15x - 5.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The given data is,

The number of diamonds          Total number of points earned

      1                                                             10    

      2                                                            25

      3                                                            40    

      4                                                            55  

      5                                                            70

The slope of the line will be,

Slope = ( 25 - 10 ) / 1

Slope = 15

The y-intercept of the line,

y = mx + c

y = 15x + c

10 = 15 + c

c = -5

The equation will be written as,

y = mx + c

y = 15x - 5

Therefore, the equation of the line will be written as y = 15x - 5.

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Answer: 15

Step-by-step explanation:

Answer:

A. [tex]8x^{6}[/tex]

Step-by-step explanation:

Answer:

8x6

Step-by-step explanation:

The properties of items in a question can be used to simplify the solution to the questions

The area of triangle ΔABD is 20 - 4·√3

The reason the above value for the area of ΔABD is correct is as follows:

The given parameters are;

AB = AD, BC = CD, BE = 2, BC = 4, AC = 10

Given that AB = AD, and BC = CD, we have that the figure ABCD is a kite

∴ AC is perpendicular to BD by properties of the diagonals of a kite

ΔBCE is a right triangle

By Pythagoras' theorem, [tex]\overline{CE}[/tex]² = [tex]\overline{BC}[/tex]² - [tex]\overline{BE}[/tex]²

Which gives;

[tex]\overline{CE}[/tex]² = 4² - 2² = 12

[tex]\overline{CE}[/tex] = 2·√3

Given that AC is the perpendicular bisector of BD, by the properties of a kite, we have;

BD = BE + DE, where BE = DE definition of bisected line

∴ BD = BE + BE = 2·BE

Area of a triangle = (1/2) × Base length × Height

AE = The altitude (height) of the ΔABD = AC - CE

∴ AE = 10 - 2·√3

BD = The base length of ΔABD = 2·BE (Length of BE = 2)

∴ BD = 2 × 2 = 4

The area of triangle ΔABD = (1/2) × BD × AE

∴ The area of triangle ΔABD = (1/2) × 4 × (10 - 2·√3) = 20 - 4·√3

The area of triangle ΔABD = 20 - 4·√3

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Answer:

I think it is X or Y. I might be wrong.

Answer:

∠Y = 85°  , side XZ

Step-by-step explanation:

180 = 5x - 1 + 8x + 5 + 4x + 6

180 + 1 - 5 - 6 = 5x + 8x + 4x

170 = 17x

x = 170 / 17

x = 10

∠X = 5(10) - 1 = 49°

∠Y = 8(10) + 5 = 85°

∠Z = 4(10) + 6 = 46°

therefore, the longest side of a triangle is the opposite site of

∠Y = 85°  , side XZ

Answer:

:

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The system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the rates for two duplicating companies. There are two different rates as-

[1] > initial fee of $5 and $0.06 per page.

[2] > initial fee of $10.00 and $0.04 per page.

For the [1] company, we can write the equation as -

C[1] = 5 + 0.06x

For the [2] company, we can write the equation as -

C[2] = 10 + 0.04x

So, the system of equations will be -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

Therefore, the system of equations representing the rates for two duplicating companies are -

C[1] = 5 + 0.06x

C[2] = 10 + 0.04x

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All we need to do is solve for y.

[tex]y - 3 = 4(x + 2)\\\\y - 3 = 4x + 8\\\\y = 4x + 11[/tex]

The answer is A. y = 4x + 11.

Answer:

n <−4

42 - 28n + 4n >138

42 - 24n >138

-24n > 138 - 42

-24n >96

n <−96/24

N <−4

Answer:

I believe this would be true

Step-by-step explanation:

Answer:

a)64

b)512

c)2^12

d)2^3m

Step-by-step explanation:

At every meal, 3 ounces of the cake is eaten

a) After 2 meals, the number of ounces consumed is 6 ounces

For each ounce, height is doubled , for 6 ounces, we have 2 * 2 * 2 * 2 * 2 * 2

Her height is multiplied by 64

b) After three meals

Total consumption is 3 * 3 = 9 ounces

So her height will be multiplied by 2^9 = 512

c) After four meals

Total ounces is 4 * 3 = 12

So her height will be multiplied by 2^12

d) After M meals

Number of ounces is m * 3 = 3m ounces

Her height will be multiplied by 2^3m

Answer:

i think its 1000

Step-by-step explanation: