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3 years ago

The ratio of girls to boys in the ninth grade is 5:4. if there are 144 boys in the ninth grade, how many girls are there?

Mathematics

2 answers:

andreev551 [17]3 years ago

6 0

B is the correct answer

180/144 = 1.25 or (5/4)

taurus [48]3 years ago

3 0

$144 \div 4 = 36 \\ 36 \times 5 = 180$
the answer is b

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Write an equation that represents the line

FinnZ [79.3K]

Answer:

5/6x + 3 = y

Step-by-step explanation:

The slope intercept form is:

mx + b = y

The slope is 5/6.

The y intercept is 3.

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1 year ago

Emmanuel carves a cone-shaped hollow out of a solid clay cylinder. What is the approximate volume of the solid portion of the cy

bixtya [17]

Answer:

$3.14r^2(h-\frac{1}{3}h_1)$

Step-by-step explanation:

Let h be the cylinders height and r the radius.

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$V=\pi r^2h$

-Since the cone is within the cylinder, it has the same radius as the cylinder.

-Let $h_1$ be the height of the cone.

-The area of a cone is calculated as;

$V=\pi r^2 \frac{h}{3}\\\\=\frac{1}{3}\pi r^2h_1$

The volume of the solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:

$V=V_{cy}-V_{co}\\\\=\pi r^2h-\frac{1}{3}\pi r^2 h_1, \pi=3.14\\\\=3.14r^2(h-\frac{1}{3}h_1)$

Hence, the approximate area of the solid portion is $3.14r^2(h-\frac{1}{3}h_1)$

5 0

3 years ago

I know the answer just need the step-by step work

Anna71 [15]

Answer:

x^2 +18x +80

= x^2 + 10x + 8x +80

= x(x+10) + 8(x+10)

= (x+10)(x+8)

Hope this help!

Good luck!

6 0

2 years ago

How to prove that a shape is a square on the coordinate plane?

Goshia [24]

If a quadrilateral has four congruent sides and four right angles, then it's a square, and also If two consecutive sides of a rectangle are congruent, then it's a square.

Glad I could help, Have a great day!

5 0

2 years ago

Read 2 more answers

A golfer keeps track of his score for playing nine holes of golf (half a normal golf round). His mean score is 8080 with a sta

solniwko [45]

Answer:

Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and $11\sqrt2$ respectively.

Step-by-step explanation:

Given that,

For the first 9 holes X:

E(X) = 80

SD(X)=13

For the second 9 holes Y:

E(Y) = 80

SD(Y)=13

For the sum W=X+Y, the following properties holds for means , variance and standard deviation :

E(W)=E(X)+E(Y)

and

V(W)=V(X)+V(Y)

⇒SD²(W)=SD²(X)+SD²(Y) [ Variance = (standard deviation)²]

$\Rightarrow SD(W)=\sqrt{SD^2(X)+SD^2(Y)}$

∴E(W)=E(X)+E(Y) = 80 +80=160

and

∴ $SD(W)=\sqrt{SD^2(X)+SD^2(Y)}$

$=\sqrt{11^2+11^2}$

$=\sqrt{2.11^2}$

$=11\sqrt2$

Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and $11\sqrt2$ respectively.

4 0

3 years ago