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3 years ago

In a class of 33 students, the ratio of girls to boys is 6:5. How many are there

Mathematics

1 answer:

kati45 [8]3 years ago

7 0

Answer:

18 girls and 15 boys.

Step-by-step explanation:

not sure on question 2. $21.33, $23.33, $25.33???

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What is the solution to the equation? x = 1 x = 6 x = 12 x = 24

stiks02 [169]

Answer:

Option B is the correct option

solution,

$\sqrt{5x - 7} = \sqrt{3x + 5}$

Cancel the square roots on both sides

$5x - 7 = 3x + 5$

Add 7 to both sides

$5x - 7 + 7 = 3x + 5 + 7$

Simplify

$5x = 3x + 12$

Subtract 3x from both sides

$5x - 3x = 3x + 12 - 3x$

Simplify

$2x = 12$

Divide both sides by 2

$\frac{2x}{2} = \frac{12}{2}$

Simplify

$x = 6$

Hope this helps...

Good luck on your assignment..

4 0

3 years ago

Find the volume of the figure below. Leave your answer in terms of π.

IgorC [24]

Answer: 1539π cubic inches.

Step-by-step explanation:

In the figure, we have a hemisphere joined with a cylinder of the same diameter 18 inches.

Radius = 9 inches (half of diamter)

Volume of hemisphere = $\dfrac23 \pi r^3$

Volume of cylinder = $\pi r^2 h$ , where r= radius h= height

Volume of hemisphere= $\dfrac{2}{3}\pi (9)^3=486\pi in.^3$

Volume of cylinder = $\pi (9)^2 (13)=1053\pi\ in.^3$

Combined volume = 486π+1053π=1539π cubic inches.

Hence, the volume of the solid = 1539π cubic inches.

8 0

3 years ago

David has a rectangle and a right triangle.

emmasim [6.3K]

Answer:

2w^2+10w

Step-by-step explanation:

Let's start with the rectangle.

The length of the rectangle is:

L = 5 + w

The width of the rectangle is:

So, the equation of the area for the rectangle would be:

(w)(5+w) due to the area of a rectangle being length x width

Now, onto the triangle.

The length of the shorter side is equal to the width of the rectangle:

L(1) = w

The length of the longer side of the triangle is twice the length of the rectangle, so going back to what we have the rectangles length being:

L(2) = (2)(5+w) or 10 + 2w

Now to find the area of the triangle, use the equation 1/2(b)(height)

So plug it in:

1/2(w)(10 + 2w)

Which equals 1/2(10w + 2w^2)

Now, we times it by 1/2, so we will put it into a fraction:

1 x (10w + 2w^2)/2

10w + 2w^2/2

Now factor it:

2w(5 + w)/2

2 cancels out 2, so we are left with

w(w+5) = w^2 + 5w

So, the equation says what is the combined area of the rectangle and triangle

Rectangle area: w(w+5) = w^2 + 5w

Triangle area: w^2 + 5w

So, the combined area is 2w^2 + 10w

hope that helps!! I understand this question is hard, so I tried to explain as best as I can :)

for me, this is an EOC question, so to all those taking the test good luck! study hard!!

3 0

3 years ago

Write the equation of the parabola when the vertex is (0,5) and it passes through (2,9)

Alika [10]

We know that
the equation of a vertical parabola in vertex form
y=a*(x-h)²+k
(h,k)------> (0,5)
y=a*(x-0)²+5
y=a*x²+5
substitute the point (2,9) in the equation
9=a*(2)²+5------> 9=4*a+5-------> 4*a=9-5-----> 4*a=4-----> a=1

the equation of the vertical parabola is
y=x²+5

the equation of a horizontal parabola in vertex form
x=a*(y-k)²+h
(h,k)------> (0,5)
x=a*(y-5)²+0
x=a*(y-5)²
substitute the point (2,9) in the equation
2=a*(9-5)²------> 2=16*a------> a=1/8

the equation of the horizontal parabola is
x=(1/8)*(y-5)²

the answer is
the equation of the vertical parabola is y=x²+5
the equation of the horizontal parabola is x=(1/8)*(y-5)²

see the attached figure

7 0

3 years ago

Will mark brainliest and 15 points, please and thank you

mash [69]

Answer:

Student 3 and Student 4

Step-by-step explanation:

Expand equation of Student 3

y = 2 (x - 1)

y = 2x -2, which is the same equation as student 4.

7 0

4 years ago