The ratio of the number of boys and girls in the class is 4:3. There are 45 students in a class. How many students are boys?

Answer: 90$

Step-by-step explanation:

Step-by-step explanation:

a) write 2 2/3 as an improper fraction in its simplest form....

[tex] = 2 \frac{2}{3} \\ [/tex]

[tex] = \frac{2 \times 3 + 2}{ 2} \\ [/tex]

[tex] = \frac{8}{2} \\ [/tex]

[tex] = \frac{8 \div 2}{2 \div 2} \\ [/tex]

[tex] = \frac{4}{1} = 4 \\ [/tex]

B) Work out 2 2/3 x5 give your anwser as an improper...

[tex] = 2 \frac{2}{3} \times 5 \\ [/tex]

[tex] = \frac{2 \times 3 + 2}{3} \times 5 \\ [/tex]

[tex] = \frac{8}{3} \times 5 \\ [/tex]

[tex] = \frac{40}{3} \\ [/tex]

The area of the rectangle and triangle are 48 mm² and 24 mm² respectively.

The area is the amount of space occupied by a two dimensional shape or object.

Area of rectangle = length * width = 6 mm * 8 mm = 48 mm²

Area of triangle = (1/2) * base * height = 0.5 * 6 * 8 = 24 mm²

The area of the rectangle and triangle are 48 mm² and 24 mm² respectively.

Find out more on area at: https://brainly.com/question/25292087

Answer:

31.6m

Step-by-step explanation:

First, find area of the vessel [ (πr2h)/3 ]

Radius = 5.2/2= 2.6

Using Pythagorean theorem, find the height of the cone:

[tex]\sqrt{6.8^{2} -5.2^{2} }[/tex] = 4.38

Area of vessel = [tex]\frac{ (PI * 2.6 * 2 * 4.38)}{3}[/tex] =  56.88 [tex]cm^{3}[/tex]

Do cross multiplication using ratios:

1.8      =    1

56.88 =   [tex]x[/tex]

[tex]\frac{56.88}{1.8}[/tex]= 31.6

Answer:

1. B = 6 m²

2. h = 2 m

3. V = 12 m³

Step-by-step explanation:

the base is a right triangle

Then

[tex]B=\frac{3\times 4}{2} =6\ m^{2}[/tex]

____________

The height of the prism is the length of the segment that join the base to its opposite face

Then

h = 2m (given)

___________

The volume of the prism :

[tex]V=B\times h=6\times 2=12 m^3[/tex]

The longer distance that Alexa can follow to the school is the sidewalk since 70m is longer than 13m.

From the information given, Alexa can follow the sidewalk from the library to the school or she can travel across the grass.

In this case, the distance of the sidewalk is 78m and the distance of the grass is 13m. Therefore, the longer distance is the sidewalk.

Learn more about distance on:

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Answer:

He worked about 5.5 hours

Step-by-step explanation:

Im pretty sure

Answer:

7.5  hours

Step-by-step explanation:

h=hours

30+8h +12-8 =94

8h+34=94

8h =60

h= 7.5

Answer:

225 men

This conversion leads to the answer:

Answer: A, D, F

Step-by-step explanation: A: 120 B: 75 C: 75 D: 160 E: 60 F: 2000

G: 10

Answer:

Answer: The other number is y = x + 6.

Step-by-step explanation:

The point-slope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)

From the question, we are to determine the point-slope form of the given line

The point-slope form of an equation of a straight line is written as

[tex]y-y_{1}=m(x-x_{1})[/tex]

Where m is the slope and [tex](x_{1},\ y_{1})[/tex] is a point on the line

From the given information,

m = -3

And in the diagram,

One of the points on the line is (2, -2)

Therefore, we can write that

x₁ = 2 and y₁ = -2

Substituting into the point-slope form of an equation of a line,

We get

y - (-2) = -3(x - 2)

This becomes

y + 2 = -3(x - 2)

Hence, the pointslope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)

Learn more on Point slope form of an equation of a straight line here: https://brainly.com/question/8386231

The diagram for the question is attached below.

Answer:

B. 12 ÷ 13

Explanation:

Answer:

a no. is the answer

Step-by-step explanation:

b=a+13

or, 14 = 1+13

or, 14= 14 {True}

Answer:

b=a+13

b=1+13

b=14

again,

b=a+13

b=6+13

b=19

so the relationship between a & b is b=a+13

My math teacher did it the same way so I would go with your teacher's way

$60

hope it helps...!!!

Answer:

In the first 5 years, 138,750$ worth of rent will already have been paid.

Step-by-step explanation:

Since you have to pay 925$ a month worth of rent, in only 1 year, 5,550$ rent money will already have been payed. Now, multiply 925 x 5 x 30 = 138,750. Since the rent increases by 6% every year, in the first 5 years it would have already increased to 30%. So therefore, you would have to pay 138,750$ money worth of rent.

Answer:

the first one (3x-2)(2x-3)

Answer:

c and d

Step-by-step explanation:

hope it helps bud

Answer:

Ans: n−√5

Step-by-step explanation:

~Denki~

Answer:

the length of "AC" should be the same as it was before it was reflected over the y-axis.

(there is no picture so i cant get as specific as intended)

hope this helps :D

Answer:

x<-9

Step-by-step explanation:

x−1<−10

Add 1 to both sides.

x<−10+1

Add −10 and 1 to get −9.

x<−9

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hoped this helped :)

Answer:

x < -9

Step-by-step explanation:

⇒ x - 1 < -10

⇒ x < -10 + 1

⇒ x < -9

Answer:

purple

Step-by-step explanation:

Answer:

(4, -18)

Step-by-step explanation:

First  Use this formula for the x -axis  -b/2a  

-8/2(1) is -4

Then plug in -4 to the equation

(-4)^2+8(-4)-2 = -18

Answer:

-2

Step-by-step explanation:

-4x^3 = 32

x^3 = -8

take the cube root of both sides.

x = -2

[tex]-4x^3= 32\\\\\implies x^3 = -\dfrac{32}4\\\\\implies x^3 = -8\\\\\implies x^3 +8 = 0\\\\\implies x^3 +2^3 =0\\\\\implies (x+2)(x^2 -2x +2^2)=0\\\\\implies (x+2)(x^2 -2x +4) = 0\\\\\implies x +2 =0~~~\text{or} ~~~~x^2 -2x +4 = 0\\ \\\implies x = -2 ~~~~~~\text{or} ~~~~ x= \dfrac{2 \pm\sqrt{-12}}{2}=\dfrac{2 \pm i\sqrt{12}}2}=\dfrac{2\pm2i\sqrt3}{2}=1\pm i\sqrt 3\\\\\text{Hence,}~ x = -2,~~ x = 1+i\sqrt 3,~~~ x= 1-i\sqrt3[/tex]

Answer:

15.8 :D

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

9^2 + 13^2 = c^2

81 + 169 = c^2

250 = c^2

Now we need to find the square root!!

[tex]\sqrt{250}[/tex] = 15.8 :)

Have an amazing day!!

Please rate and mark brainliest!!!

Answer:

I think you are incorrect

Step-by-step explanation:

this was the answer i got 121

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Step-by-step explanation:

[tex]the \: length \: of \: the \: ladder \: becomes \: the \: hypotenuse \: [/tex]

[tex]the \: base \: becomes \\ = \sin( \alpha ) \times hypotenuse \\ = \sin(12) \times 15 \\ = 3.119ft[/tex]