at a school number of boy:number of girls is in the ratio 11:9
there are 124 more boys than girls
work out the total number of sutdents at the school

Answer:

Step-by-step explanation:

Slope is the rise (y) over the run (x) between 2 points on a graph. This means that from one point go up (or down) first, then count over from that first point right (or left). A positive number on top indicates "up" and a negative number on top indicates "down"; a positive number on bottom indicates "right" while a negative number on bottom indicates "left". Keep in mind the following:

[tex]\frac{-y}{x} =\frac{y}{-x} =-\frac{y}{x}[/tex]

It doesn't matter where you "put" the negative, your slope will come out correct as long as you are moving from one point to the other correctly.

Our given slope is 4/5. They are both positive, so that means from the red point on the left ("read" a graph from left to right, just like you're reading this) we will go up 4 units. From where we "land" we will go right 5 units. As you can see, the only graph that lands on the red dot on the right when we follow that slope is the second one.

Answer:

p = 13

Step-by-step explanation:

When a polynomial f(x) is divided by (x + h) then the remainder is f(- h)

Here both polynomials are divided by (x + 1)

Evaluate them both for x = - 1

3(- 1)³ - 5(- 1)² - 4(- 1) + p, that is

- 3 - 5 + 4 + p

= p - 4 → A

6(- 1)³ + p(- 1)² + 9(- 1) + 5, that is

- 6 + p - 9 + 5

= p - 10 → B

Given that A = 3B, then

p - 4 = 3(p - 10)

p - 4 = 3p - 30 ( subtract 3p from both sides )

- 2p - 4 = - 30 ( add 4 to both sides )

- 2p = - 26 ( divide both sides by - 2 )

p = 13

Answer:  12.56 / 4 = 3.1416 =9.4248

Step-by-step explanation: pi by the 2 squared gives u the area of all the circle but u need to fin 3/4 of the circle so divide by 4 and the result of the dividion x 3 gives u the answer

Answer:

20.48mL

Step-by-step explanation:

Multiply 64mL by 0.32

Answer:

20.48

Step-by-step explanation:

32/100*64

Answer: -5

Step-by-step explanation: Let me know if you need an explanation.

Answer:

Option D is the correct answer

Step-by-step explanation:

[tex](3 {m}^{ - 4} )^{3} (3 {m}^{5} ) \\ \\ = {3}^{3} {m}^{ - 4 \times 3} \times 3 {m}^{5} \\ \\ = 27 \times 3 \times {m}^{ - 12 + 5} \\ \\ = 81 {m}^{ - 7} \\ \\ = \frac{81}{ {m}^{7} } [/tex]

Answer:

the correct answer is D

Step-by-step explanation:

distribute the exponent on the left to get the expression ((3^3)(m^-12))(3(m^5))

bring the negative exponent to the denominator to get (3^4)(m^5)/(m^12)

subtract the exponents of m to get an answer of 81/(m^7)

Answer:

108 - 84i

Step-by-step explanation:

12( 9-7i)

Distribute

12*9 - 12*7i

108 - 84i

Answer:

a= -8.33

Step-by-step explanation:

it will be deceleration because he was 12 m/s then go to 4.5 m/s

and by applying moving equation

[tex]v_{2}[/tex]=[tex]v_{1}[/tex]+at

we have all but not have a  

Answer:

0.6     is the answer

Step-by-step explanation:

Answer:

[tex]3[/tex] Miles

Step-by-step explanation:

[tex]1.8^2+2.4^2=c^2[/tex]

[tex]9=c^2[/tex]

[tex]9-c^2=c^2-c^2[/tex]

[tex]-c^2+9=0[/tex]

[tex]-c^2+9-9=0-9[/tex]

[tex]-c^2=-9[/tex]

[tex]\frac{-c^2}{-1} = \frac{-9}{-1}[/tex]

[tex]c^2=9[/tex]

[tex]c=+\sqrt{9}[/tex]

[tex]c=3[/tex]

Answer:

[tex]3.1[/tex]

Step-by-step explanation:

Range = biggest no. - smallest no.

Range = [tex]6.3-3.2[/tex]

Range = [tex]3.1[/tex]

Answer:

3.1

Step-by-step explanation:

Range is the difference between the highest and the least number in a set.

Out of all the numbers given, 6.3 is the highest and 3.2 is the least. When, I found the difference of those two numbers, the difference was 3.1. :)

Answer: 0.353

Step-by-step explanation:

We know that 42% of all the female students participate in 2 sports this season. (58% is the percent that did not)

This means that if we select a random student, there is a 0.42 probability that the student did participate in 2 sports this season.

Other thing that i will use is that, if we have a group of N objects, and we want to create a group of K objects out of the N, the number of combinations is:

[tex]c = \frac{N!}{(N - K)!*K!}[/tex]

Now, out of 5, we want to find the proability that, at least 3 of them, did participate in at least 2 sports this season.

The probability that all 5 of them participated, is equal to the product of the individual probabilities. (so N = 5, and K = 5)

P = (0.42^5)*1 = 0.013

Now, if only 4 of them did participate (N = 5, k = 4), the probability is equal to:

P = (0.42^4)*(0.58)*5!/4! = (0.42^4)*(0.58)*5 = 0.09

The probability for only 3 is: (N = 5 and K = 3)

P = (0.42^3)*(0.58^2)*5!/(3!*2!) = (0.42^3)*(0.58^2)*(5*4/2) = 0.25

Then the total probability is:

P = 0.013 + 0.09 + 0.25 = 0.353

Answer:

x=-14 (im pretty sure its right )

Step-by-step explanation:

like terms :p

Answer:

radius is 3, center is (4,-5)

Step-by-step explanation:

when you graph this, put the first point at (4,-5) and then expand three squares up.

Answer:

x= -8    x=2

Step-by-step explanation:

x^2 +6x-6= 10

Subtract 10 from each side

x^2 +6x-6-10= 10-10

x^2 +6x-16 = 0

What 2 number multiply to -16 and add to 6

8 * -2 = -16

8 -2 = 6

(x+8) (x-2)=0

Using the zero product property

x+8=0  x-2=0

x= -8    x=2

Answer:D

Step-by-step explanation:

Answer:

A. 0

Step-by-step explanation:

y= mx+b

with same slope, m= same for both

if b  is different, then the lines are parallel

so no solution, option A. 0

Answer:

The range of the box plot is 10.

Step-by-step explanation:

To find the range subtract the highest value to the lowest value.

Since 13 is the highest and 3 is the lowest the answer is 10

Hope this helps.

Answer:

The sample loses [tex]\frac{1}{3}[/tex] of its mass every [tex]\frac{1}{3}[/tex] days.

Step-by-step explanation:

Expression that shows the relation between final mass of the element after 't' days is,

M(t) = [tex]900(\frac{8}{27})^t[/tex]

If M(t) = two third of the initial mass [After the loss of one third of the initial mass remaining mass of the element = 1 - [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{3}[/tex]rd of the initial mass]

[tex]900\times \frac{2}{3}=900(\frac{8}{27})^t[/tex]

[tex]\frac{2}{3}=(\frac{8}{27})^t[/tex]

[tex]\frac{2}{3}=[(\frac{2}{3})^3]^t[/tex]

[tex](\frac{2}{3})^1=(\frac{2}{3})^{3t}[/tex]

By comparing powers on both the sides

3t = 1

t = [tex]\frac{1}{3}[/tex] day

Therefore, The sample loses [tex]\frac{1}{3}[/tex] of its mass every [tex]\frac{1}{3}[/tex] days.

Answer:

Option (2).

Step-by-step explanation:

Let f(x) and g(x) are the two functions with domain A and B.

Then (fg)(x) will be the function with domain A∩B

(fg)(x) = f(x)g(x)   Domain : A∩B

In this question two functions are,

c(x) = [tex]\frac{5}{(x-2)}[/tex] and d(x) = (x + 3)

Domain : (x - 2) > 0 ⇒ x > 2

              and (x - 2) < 0 ⇒ x < 2

Or domain of (cd)(x) will be C = (-∞, 2)∪(2, ∞).

Similarly, d(x) = x + 3

Domain : All real numbers

             : D = (-∞, ∞)

(cd)(x) = c(x)d(x)

          = [tex]\frac{5}{(x-2)}\times (x+3)[/tex]

Domain of (cd)(x) will be,

Domain : C∩D = (-∞, 2)∪(2, ∞) ∩ (-∞, ∞)

             : (-∞, 2) ∩ (2, ∞)

Therefore, domain of (cd)(x) will be all real values except 2.

Option (2) will be the answer.

Answer:

3+4+5+11= 56

Step-by-step explanation:

Answer:

157.98  [tex]in^2[/tex]

Step-by-step explanation:

Given: volume of pyramid is equal to 100 cubic inches and height of the pyramid is 5 inches

To find: surface area of the pyramid

Solution:

Let h denotes the height of the pyramid and 'a' denotes side of the square base of the pyramid.

Volume of the pyramid = [tex]\frac{1}{3}a^2h[/tex]

Also,

Volume of the pyramid = 100 cubic inches

[tex]\frac{1}{3}a^2h=100\\\frac{1}{3}a^2(5)=100\\a^2=\frac{100\times 3}{5}=60\\a=\sqrt{60}[/tex]

Surface area of the pyramid  [tex](S) =a\sqrt{4h^2+a^2}+a^2[/tex]

So,

[tex]S=\sqrt{60}\sqrt{100+60}+60\\=\sqrt{60}\sqrt{160}+60\\=\sqrt{9600}+60\\=97.9796+60\\=157.9796\\\approx 157.98[/tex]

Surface area = 157.98  [tex]in^2[/tex]

Answer:

Surface area of the pyramid = 157.99 in²

Step-by-step explanation:

Volume of a pyramid is given by the formula,

Volume = [tex]\frac{1}{3}(\text{Area of the base})\times \text{height}[/tex]

100 = [tex]\frac{1}{3}\text{(Side)}^{2} \times \text{height}[/tex]

300 = s² × 5

s² = 60

s = √60

s = 2√15 in ≈ 7.746 in

Now surface area of the pyramid = Area of base + 4×(Area of one lateral side)

Area of square base = (Side)² = 60 in

Area of one lateral side = [tex]\frac{1}{2}(\text{Base})(\text{Lateral height})[/tex]

Since Lateral height = [tex]\sqrt{(h)^{2}+(\frac{S}{2})^{2}}[/tex] [By applying Pythagoras theorem in the given triangle]

                                  = [tex]\sqrt{(5)^{2}+(3.873)^{2}}[/tex]

                                  = [tex]\sqrt{25+15}[/tex]

                                  = [tex]\sqrt{40}[/tex]

                                  = 6.325 in.

Now area of lateral side = [tex]\frac{1}{2}(7.746)(6.325)[/tex]

                                        = 24.497 in²

Surface area of the pyramid = 60 + (4×24.497)

                                               = 60 + 97.987

                                               = 157.987 in²

                                               ≈ 157.99 in²

Answer:

wgtvwthrr

Step-by-step explanation:

Answer:

x = -5/3 and y = -1

Step-by-step explanation:

write it as a system and simplify

-4 for the first equation (in the photo but when putting it into a system of equations it would be 2nd)

So it's

-3x-2y=7

-3x+2y=3

then it's -6x=10

then divide oth sides by -6 to get x then plug that into whatever equation and solve for y.

i hope this is right and helps

Step-by-step explanation:

[tex]cylinder \: area \: = (2 \times \frac{\pi}{4} \times {dia}^{2} ) + (\pi \times dia \times hieght) \\ = (2 \times \frac{\pi}{4} \times {3.8}^{2} ) + (\pi \times 3.8 \times 12.7) \\ = 22.7 + 151.5 \\ = 174.2 \: {m}^{2} [/tex]

Answer:

Six over Seven

Step-by-step explanation:

Answer:

six sevenths

Step-by-step explanation:

6/7 in words is six sevenths

Answer:

8/20

Step-by-step explanation

boys left handed=3

boys right handed=9

girls left handed=2

girls right handed=6

what is the probability that a student chosen from random is a girl? give answer as a fraction please and include step by step process

girls left handed: 2

girls right handed: 6

6+2=8

total all students 20

8/20

Answer:

38

Step-by-step explanation:

Find the values of each function.

f(-9)= 4

g(6)=6

Then plug them in.

-1 x 4 + 7 x 6

-4+42

38!