Simplify the following: ​

Answer:

48 students in the class

Step-by-step explanation:

The ratio of girls to boys is 3 : 5 = 3x : 5x ( x is a multiplier ) , then

5x = 3x + 12 ( 12 more boys than girls )

Subtract 3x from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Then

number of girls = 3x = 3 × 6 = 18

number of boys = 5x = 5 × 6 = 30

total students in class = 18 + 30 = 48

Answer:

-8

Step-by-step explanation:

The difference between a number P and 6 is -14.

then;

[tex]p - 6 = - 14 \\ p = - 14 + 6 \\ p = - 8[/tex]

Answer:

1111102111

Step-by-step explanation:

a = 1

r = 10

∑1x10^n = 1111102111

where n starts from 1 to 10

The height of the kite above the ground is 36.8 ft

Let x be the height of the kite above Mamadou's hand.

Since the angle of elevation of the kite is 27° and the length of the kite's string is 75 ft long, the length of string, height of kite above Mamadou's hand and the horizontal distance between Mamadou and the kite form a right-angled triangle, with hypotenuse side, length of string of kite and opposite side, height of kite above Mamdou's hand, we have that

sin27° = x/75

Making x subject of the formula, we have

x = 75sin27

x = 75 × 0.4540

x = 34.05 ft

Since Mamadou's hand above the ground is y = 2.75 ft, the height of the kite above the ground, h = x + y

Substituting the values of the variables into the equation, we have

h = x + y

= 34.05 ft + 2.75 ft

= 36.8 ft

The height of the kite above the ground is 36.8 ft

Learn more about height of kite above ground:

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Answer:

Step-by-step explanation:

Answer:

equals 1x32 mc2

Step-by-step explanation:

mass–energy equivalence formula E

Answer:

The degree of a polynomial is the largest exponent in the expression. The degree of the given polynomial is 3.

:)

Answer:

2/3

Step-by-step explanation:

You go over 2 and down 3

Answer:

15:10, 18:12

Step-by-step explanation:

Technically speaking, the first value, 3, is 1.5x greater than the second value, 2.

So, in all other ratios, the first value should be 1.5x greater than the second.

We can check by dividing the first number of each ratio by 3, and if we multiply 2 by the quotient, it should be 1.5x smaller

___________________________________________________________

10:1, Incorrect

This is incorrect because the first value is not 1.5x greater than the second. It is 10x greater

10/3 = 3.333....

1 x 3.33... = 3.3333....

3.3333.... x 1.5 ≠ 10

15:10, Correct

This is correct because the first number is 1.5x greater than the second.

15/3 = 5

5 x 2 = 10

10 x 1.5 = 15

18:12, Correct

This is correct because the first number is 1.5x greater than the second.

18/3 = 6

6 x 2 = 12

12 x 1.5 = 18

-Chetan K

Answer:

Part A: about 8%

Part B: about 65%

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

honestly this is just filler no reason to explain it hoenstly

Answer:

-20

Step-by-step explanation:

PEMDAS

Answer:I got you

2.3L=2300ML

4.5yds=162in

Step-by-step explanation:

The height of the radio station antenna is approximately 116 feet to the nearest foot.

From the diagram in the attached image

[tex]h=\text{the height of the radio station antenna}\\x=\text{the distance from the foot of the radio station antenna to where the man stood at first}[/tex]

we now have the following relationships

[tex]tan64^\circ=\frac{h}{x}\\\\\implies x=\frac{h}{tan64^\circ}[/tex]

and

[tex]tan43^\circ=\frac{h}{68+x}\\\\\implies x=\frac{h}{tan43^\circ}-68[/tex]

we can equate the two relationships to eliminate [tex]x[/tex].

[tex]\frac{h}{tan64^\circ}=\frac{h}{tan43^\circ}-68[/tex]

solving for the height of the radio station antenna, [tex]h[/tex], we get

[tex]h=\frac{68\times tan43^\circ \times tan64^\circ}{tan64^\circ -tan43^\circ}\approx 116ft\text{ (to the nearest foot)}[/tex]

Learn more about angle of elevation here: https://brainly.com/question/12483071

Answer:

35.113 km per hour is the correct answer

Answer:

what is the question?

Step-by-step explanation:

Answer:

Yes they are.

They are congruent because they have two equal angles and one equal side

Answer:

2 inches per hour

Step-by-step explanation:

The first snowfall was in two hours with an accumulation of 4 inches, so 4/2=2 inches per hour

Answer:

5.06*10 to the power of -6

Step-by-step explanation:

you need the number to be in between one and 10 so 5.06 is where the decimal should be and the exponent is negative because when you want to put it back to the rational number you go 6 decimal places to the LEFT

Answer:

1

Step-by-step explanation:

let's substitute the numbers:

[tex]d=\sqrt{[-2-(-3)]^2+(4-4)^2}=\sqrt{(-2+3)^2-0^2}= \sqrt1= 1[/tex]

The value of d if [tex](x_1,y_1)=(-3,4)[/tex] and [tex](x_2,y_2)=(-2,4)[/tex] in [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] is 1.

The distance between the two co-ordinates points can be evaluated by using the formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of the endpoints.

The given coordinate points are [tex](x_1,y_1)=(-3,4)[/tex] and [tex](x_2,y_2)=(-2,4)[/tex].

Substitute the values of the known parameters in the formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] as-

[tex]d=\sqrt{(-2-(-3))^2+(4-4)^2}\\=\sqrt{(-2+3)^2}\\=1[/tex]

Hence, the value of d is 1.

Learn more about the distance between the coordinate points here- https://brainly.com/question/14364020

#SPJ2

Using the plot, it is found that there is a 10% probability each year that a flood of 1,000 cubic meters per second will occur.

When y = 1,000, we have that x = 10%, hence, there is a 10% probability each year that a flood of 1,000 cubic meters per second will occur.

A similar problem is given at https://brainly.com/question/25757416

Answer:

[tex]x=\frac{27}4=6.75[/tex]

Step-by-step explanation:

The triangles PQR and SQT have corresponding angles congruent. In particular the pair P,S, R,T are congruent since corresponding angles relative to the two parallel lines in the hypotesis, and Q is obviously in common. The two triangles are similar since their angles are congruent. We can then write the follwing proportion.

[tex]\overline{RQ}:\overline {TQ}= \overline{PQ}:\overline{SQ}[/tex]  Replacing the values and cross-multiplying we get:

[tex](4x-3+3):3=(40+5):5 \rightarrow 4x:3 = 45:5 \\4x=27 \rightarrow x=\frac{27}4=6.75[/tex]

Answer:

6.75

Step-by-step explanation:

the answer is 6.75

so x = 6.75

Answer:

●y= mx + c

y = 9x + 1/2

slope m =9

Answer:

the state the item is in such as liquid nitrogen is frozen air and frozen meals are ice solid.

Step-by-step explanation:

Answer:  Corresponding Parts of Congruent Triangles are Congruent

Step-by-step explanation: So you use it when two triangles are congruent to each other (which means the same) so like ASA angle side angle will tell you if the triangle is congruent to each others.

Answer:

..

Step-by-step explanation:

If HV= 12 and we are trying to find UV. We just need to divide by 2 because UV is half. UV=6

Answer:

3x-10=x+15+25

3x-10=x+40

3x-x=40+10

2x=50

x=50/2

x=25

Answer:

  9.2 units

Step-by-step explanation:

The length of the segment between the points is equal to the difference of their coordinates:

  3.7 -(-5.5) = 3.7 +5.5 = 9.2 . . . units

Answer:

9.2

Step-by-step explanation:

5.5+3.7=9.2

Hope this helps!

Brainliest pls

Have a great day!

Answer:

7

Step-by-step explanation:

Assume Stefan won x games,

Marion would win: 5(x-4) games,

5(x-4)= 15

5x-20= 15

5x= 15+20

5x= 35

x= 7.