It is possible to construct an equilateral triangle using only a straightedge and a compass.

Answer:

Given - Ratio of boys to girls is 3 : 1

Total 36 students

To find - No. of girls

Solution

Let the ratio be 3x and X

3x + X = 36

4x = 36

x = 36/4

x= 9

1x = 9

There are 9 girls in the class

Answer:

9 girls

Step-by-step explanation: If u write it out like this 3:1 6:2 and onwards till the two numbers add to 36 you will get the answer of 9 this should be right sorry if it isn't

Answer:

2^3*3

Step-by-step explanation:

Answer:

to find the total number of miles traveled, you have to add the total distance from point L to point M together. 929+ 595 = 1,524 total miles traveled

to find the average miles per hour, you divide the total miles traveled, by the amount of time it took. 1,524 / 3 = 508 miles per hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

LV to Colorado Springs = 595 miles

Colorado Springs to Mil=  929 miles

Total distance =                1524  miles

Average Speed = 1524 miles / 3 hours

Average Speed =  508  miles / hour

Answer:  Pablo: 1:5 Sam: 16.50

Step by Step Explination:

Answer:

240 miles

Step-by-step explanation:

Given that:

Charges offered by Prestige car rentals for renting a midsize vehicle:

Fixed charges = $47

Per mile charges for renting a midsize vehicle = $0.07

Charges offered by Gateway Auto for renting a midsize vehicle:

Fixed charges = $35

Per mile charges for renting a midsize vehicle = $0.12

To find:

Number of miles for which both the companies charge the same price?

Solution:

Let the number of miles for which both the companies will charge the same price = [tex]x[/tex] miles

Charges for one mile by Prestige car rentals = $0.07

Charges for [tex]x[/tex] miles by Prestige car rentals = $0.07[tex]x[/tex]

Total charges by Prestige Car rentals = $47 + $0.07[tex]x[/tex]

Charges for one mile by Gateway Auto = $0.12

Charges for [tex]x[/tex] miles by Gateway Auto = $0.12[tex]x[/tex]

Total charges by Gateway Auto = $35 + $0.12[tex]x[/tex]

As per question statement, the charges are same:

[tex]\$47 + \$0.07x = \$35 + \$0.12x\\\Rightarrow 12=0.05x\\\Rightarrow x=\dfrac{1200}{5}\\\Rightarrow \bold{x=240\ miles}[/tex]

Answer:

36

Step-by-step explanation:

you have to do ratios like

3=3 6=6 for sodas

and hotdogs

2=5 4=10 6=15 8=20 10=25 12 =30

hope this helps

-mercury

Answer:

-5x^4+7x^2

Combine like terms to simplify

Answer:

-5x^2+7x^2

Step-by-step explanation:

3x^4-5x+7x^2-8x^4+5x

3x^4-8x^4-5x+5x+7x^2

-5x^4+7x^2

Answer:

150° I guess I'm not really sure

Answer:

150

Step-by-step explanation:

These angles will always equal to 360

s = 30

1 = 150

30 + 30 + 150 + 150 = 360

Have a good day! I hope this helps!

Answer:

rock climb costs $7

Step-by-step explanation:

2 laser tags +3 rock climb = $31   ( 1 )

4 laser tags + 1 rock climb = $27   (2)

multipy (1) by -2 and add the equations

-4 laser tags -6 rock climb = $ -62  

4 laser tags + 1 rock climb = $27

-6 rock climb +1 rock climb = -62+27

-5 rock climb = -35 divide both sides by -5

1 rock climb = $7

Answer:

The answer is 4 feet and 3 inches.

Step-by-step explanation:

Answer:

Theorem 1: In a parallelogram, the opposite sides are of equal length. Theorem 2: If the opposite sides in a quadrilateral are the same length, then the figure is a parallelogram. Theorem 3: A quadrilateral is a parallelogram if and only if the diagonals bisect each other.

Step-by-step explanation:

Hope this helps!!!

C is ur answer............

Answer:

C

Step-by-step explanation:

vmlstjtndgydcyedhdhdh

Answer:

c, 50

Step-by-step explanation:

120-24= 96

Since we are measuring the size of one of the halves, you have to split that number in half, so 96 ÷ 2= 48.

48 rounds up to 50, so 50 is the answer

Answer:

Step-by-step explanation:

(x/13) cm

Answer: x/13 = y.

Step-by-step explanation: Let x represent the total length of the timber. Then, 13 will represent the number of pieces it will be divided into. Finally, y represents the length of each individual size.

Answer:

7 1/2 dozen of cookies

Step-by-step explanation:

If for every 3 dozen cookies, a bakery uses 8 cups of butter then we can say;

3 dozens cookies = 8 cups of butter

x cups of cookies = 20 cups of butter

Cross multiply

8*x = 3 * 20

8x = 60

x = 60/8

x = 7 4/8

x = 7 1/2

Hence you will need 7 1/2 dozen of cookies

Answer:

XZ ≈ 14.4 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle, that is

cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{YZ}{XZ}[/tex] = [tex]\frac{12.6}{XZ}[/tex] ( multiply both sides by XZ )

XZ × cos29° = 12.6 ( divide both sides by cos29° )

XZ = [tex]\frac{12.6}{cos29}[/tex] ≈ 14.4 cm ( to 3 significant figures )

Answer:

A) 40 + d

B) 45 days

Step-by-step explanation:

A)

total cost = (cost of the air conditioner itself) + (money charged per day)*(days)

cost of air conditioner itself = $40

money charged per day = $1

days = d

40 + 1*d

= 40 + d

B)

total cost = 40 + d

total cost = $85

85 = 40 + d

45 = d

Time used the air conditioner for 45 days.

Multiply the numerator together and the denominators together.

1 x 5 / 6 . 7 = 5/42

42 is not a multiple of 5 so the answer is already in the lowest term.

The answer is 5/42

Answer:

There is a 3/7 chance for a gray kitten, a 4/7 chance for a male kitten, and a 1/7 chance for a gray male kitten.

Step-by-step explanation:

Total Kittens = 7 (each of the following will be out of the total amount of kittens)

2/7 = Gray Female

1/7 = Gray Male

1/7 = Black Female

3/7 = Black Male

Total Male Kittens = 4/7

Total Gray Kittens = 3/7

Step-by-step explanation:

1. First calculate for the gradient m

2. Calculate for the constant C by using any point (0,3) or (3,9)

3. Lastly, put the values found in the equation y = mx + c

1. m = Y2-Y1/X2-X1

=9-3/3-0=2

2. input one point together with m into the equation y=mx+c

3=2(0)+C

C=3

3. Therefore equation of linear relationship is

y = 2x + 3

Hi there!

[tex]\large\boxed{\text{ She is incorrect.}}[/tex]

The format of a logarithmic equation is:

[tex]a^{b} = c\\\\log_{a}c = b[/tex]

In this instance:

a = e

b = 3x

c = 7

Rewrite as the logarithmic equation:

[tex]log_{e}7 = 3x[/tex]

Solve. Evaluate [tex]log_{e}7[/tex] and use algebra to find x:

[tex]1.946 = 3x\\\\x = 0.649[/tex]

Answer:

This would be D. (6, 5)

Step-by-step explanation:

When moving 9 to the right, you take -3 and add 9 to it, which gives you 6.

Do the same thing with 15, but subtract 10 from it, since you are going to the left. This gives you 5.

Therefore, your answer should be (6, 5)

-3 + 9 = 6

15 + 10 = 5

Answer:

62 degrees

Step-by-step explanation:

Since it is a straightline, the sum of both angles are 180

So, 180 - 118 = 62

Answer:

[tex]m=\frac{1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, -1)

Point (-4, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m