There are 400 pupils in a primary school.
Of the 400 pupils, 88 play a musical instrument.
Express the number of pupils who play a musical instrument as a fraction of the 400
pupils.
Give your answer in its simplest form.

This is PEMDAS as well as order of operations and or  parentheses, exponents, multiplication, division, addition, and subtraction. Multiplication and division go together, so you do whichever one comes first. Same goes to addition and subtraction. A way to remember the order is Please Excuse My Dear Aunt Sally.

Answer:

the function that models the total inventory costs as a function of x is;

$( [tex]\frac{112500}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )

Step-by-step explanation:

Given the data in the question;

cost of storing the shoes ( Holding cost ) = $ 3 per year

ordering cost ( Co ) fixed = $ 25 per order

cost of each pair = $ 5 per shoe pair

Total demand = 4500 shoe pairs

Total Inventory cost = Holding cost Ordering cost

so

Total Inventory cost = [tex]\frac{4500}{x}[/tex]( $ 25) + [tex]\frac{1}{2}[/tex]× $3 × x

Total Inventory cost = $( [tex]\frac{4500*25}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )

Total Inventory cost = $( [tex]\frac{112500}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )

Therefore, the function that models the total inventory costs as a function of x is; $( [tex]\frac{112500}{x}[/tex] + ([tex]\frac{3}{2}[/tex])x )

Answer:

HIK and GFD,

Step-by-step explanation:

Answer:

National Security Council and Office of Policy Development are two of the offices underneath the jurisdiction of the executive office.

Step-by-step explanation:

Hope this helped!!!

Answer:

the p-value for this test of hypothesis is 0.0324

Step-by-step explanation:

Given the data in the question;

sample size n = 38

Null hypothesis             H₀ : μ = 20

Alternative hypothesis Hₐ : μ ≠ 20

z = 2.14

Test Statistic;

since its a two tailed test, p-value will be;

⇒ 2 × P( Z > |z| )

= 2 × ( 1 - P( Z < |z| ) )

we substitute in the value of z

= 2 × ( 1 - P( Z < 2.14  ) )

from z score table, P( Z < 2.14 ) = 0.9838

= 2 × ( 1 - 0.9838 )

= 2 × ( 0.0162 )

P-value = 0.0324

Therefore, the p-value for this test of hypothesis is 0.0324

Answer:

66cm is the area of the rectangle

Answer:

HI, IG, GH

Step-by-step explanation:

First, you need to find the missing angle; do this by subtracting 48 and 89 from 180. This means the missing angle is 43. The smallest side will be across from the smallest angle. So in order of least to greatest, the sides are HI, IG, GH.

Answer:

a -------> 4

b -------> -2

c -------> -1

d -------> -4

Answer:

Step-by-step explanation:

There are 9 combinations since there is R, Y, B- 3 times it adds up to 9 combinations.

Answer:

3 hr(s)

Step-by-step explanation:

20 km/1 hour

60km/20km = 3

Answer:

your final answer would be −6v−6x+8

Step-by-step explanation:

(−4+3x+3v)(−2)

=(−4)(−2)+(3x)(−2)+(3v)(−2) group like terms together

=8−6x−6v combine like terms

= -6v-6x+8 put in standerd form

Answer:

-(-4+3x+3v)2

Step-by-step explanation:

1.) (-4+3x+3v)(-2) = -2(-4+3x+3v)

2.)  (-4+3x+3v)

Remove parentheses: (-a) = -a

Answer:  -(-4+3x+3v)2

Answer:

IJ<JH<HI

Step-by-step explanation:

<H would be 43.

The side across from the smallest angle is the smallest side. IJ

The side across from the middle angle is the middle side. JH

The side across from the largest angle is the largest side. HI

Answer:

x = 21 degrees

Angle KMH = 96 degrees

Step-by-step explanation:

The first question is what is x. To find that out the opposite angle of 4x is the same as x. That is 84 degrees. So take 84 and divide it by 4 you get 21.

x = 21 degrees.

The second question is what is the angel of KMH. A straight line is 180 degrees. If you take the 84 degrees and subtract it from 180 you will get what that angle equals. It equals 96 degrees.

Answer:

15$

Step-by-step explanation:

small car is 5 times smaller so we have to multiply the prise of the small car by 5.

the answer is 900

Step-by-step explanation:

180= the sum of the angles in a triangle

five triangles, just multiply them

Answer:

1/9

Step-by-step explanation:

Answer:

B. The equation represents a function, but not a linear function.

Step-by-step explanation:

Equation with x squared:

A equation in which the highest power of x is 2, that is, a term [tex]ax^2[/tex], is called a quadratic function.

In this question:

[tex]y = 4x^2[/tex] is a function.

However, since the highest power of x is 2, it is not a linear function, it is a quadratic function, and the correct answer is given by option B.

Answer:

B

Step-by-step explanation:

Answer:

Start: x = 141°

141° and x are alternate interior angles and congruent because the lines are parallel

Go left: x = 39°

39° and x are corresponding angles, and therefore congruent

Go down: x = 139°

180 - 41 = 139, the angle next to 41 and x are corresponding angles

Go left: x = 98°

180 - 82 = 98, the angle next to 82 and x are corresponding angles

Go down: x = 102°

102° and x are vertical angles and therefore congruent

Go right: x = 50°

180 - 130 = 50, the angle next to 130 and x are corresponding angles

Go down: x = 74°

corresponding angles

Go right: x = 83°

corresponding angles

Go right: x = 95°

corresponding angles

Go up: x = 18°

corresponding angles

Go left: x = 166°

180 - 14 = 166, consecutive interior angles are supplementary (I'm confused? none of the answers have it but they're definitely consecutive interior...)

I didn't get to finish but I'll attach something that may help you

Answer:

[tex]A=227.84\ inch^2[/tex]

Step-by-step explanation:

Given that,

The diameter of the cylinder, d = 5 inch

Hight, h = 12 m

Radius, r = d/2 = 2.5 m

We need to find the surface area of the cylinder. The formula for the surface area of the cylinder is given by :

[tex]A=2\pi rh+2\pi r^2\\\\A=2\times \dfrac{22}{7} \times 2.5\times 12+2\pi \times 2.5^2\\\\A=227.84\ inch^2[/tex]

So, the lateral surface area of the cylinder is equal to [tex]227.84\ inch^2[/tex].

Answer: x=4

Step-by-step explanation:

5x-9=11

5x=11+9

5x=20

X=4

Answer:

Each class should get 17 tickets. 4 tickets will be left over.

Step-by-step explanation:

157/9=17.444... -> 17 per class

17 x 9 = 153

157-153= 4 left

Each class should get 17 tickets and 4 tickets will be left.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total tickets= 157

and, Total classroom among which the tickets to be divided= 9.

So, each classroom have

= 157/ 9

= 17 with 4 left

Hence, 17 tickets are divided equally and 4 tickets are left.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

5x^2+10x-3

Step-by-step explanation:

Answer:

14 full potions or 14 portions and 7/10 of the 15th potion

Step-by-step explanation:

25/1.7=14.7058823529

Answer:

7.5 cm: 30 cm

Step-by-step explanation:

The scale is 1 cm: 4cm which is 1/4. The next one would be 7.5 cm: 30 cm because that is also equal to 1/4.

Answer:

opposite = 5√2

adjacent 5√2

Step-by-step explanation:

the opposite leg can be determined using

Sin = opposite / hypotenuse

√2 / 2= opposite / 10

opposite = 5√2

the adjacent leg can be determined using

cos = adjacent / hypotenuse

√2 / 2= adjacent / 10

adjacent = 5√2