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Answer:

£ 84

Step-by-step explanation:

Let :-

Given ratio :-

→ Sum of ratios = 4 + 3 + 5 = 12 .

According to Question :-

→ 3/12 × x = £21

→ x = £21 × 12/3

→ x = £ 84 .

Answer:

£84.

Step-by-step explanation:

There are 4 + 3 + 5 = 12 parts.

The second person got 3 parts so we can write:

3/12 x = 21      where x is the required amount of money

x = 21 * 12/3

= 21 * 4

= £84.

Answer:

Angles 1 and 5 are corresponding

Answer: Grade 8

Step-by-step explanation: The bar graph indicates by color which the number of students who liked said food more. Grade 8's bar is higher than every other grade showing us that their grade 8 liked spaghetti the most.

The grade liked spaghetti the most is Grade 8

For given question,

The bar graph represents the results of the survey where everyone in grades 6 through 9 voted for their favorite cafeteria lunch.

If we observe the bars of each class for the Spaghetti then, Grade 8's bar is higher than every other grade.

This means that grade 8 liked spaghetti the most.

Therefore, the grade liked spaghetti the most is Grade 8

Learn more about the bar graph here:

https://brainly.com/question/2901857

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Answer:

55% or 0.55 or 11/20

Step-by-step explanation:

probability the person chosen is an adult or child out of all

so 19+36/19+36+45

55/100

The probability that the selected person is not a teenager is [tex]\frac{11}{20}[/tex].

Probability is a measure of happening or non happening of the outcomes of the random experiment.

P(E) = Total number favorable of outcomes/ Total number of outcomes

Where,

P(E) is the probability of an event.

According to the given question.

Total number of adults in the audience = 19

Total number of teenagers in the audience = 45

Total number of children in the audience = 36

Total audience = 19 + 45 + 36 = 100

Now, the probability that the selected person is teenager = [tex]\frac{45}{100} = \frac{9}{20}[/tex]

Therefore,

The probability that a selected person is not a teenager

= [tex]1 -\frac{9}{20}[/tex]

= [tex]\frac{11}{20}[/tex]

Hence, the probability that the selected person is not a teenager is [tex]\frac{11}{20}[/tex].

Find out more information about probability here:

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Step-by-step explanation:

v = u + at

u+at=v

at = v-u

a = v-u

t

Hope this helps you :)

Answer:

186

Step-by-step explanation:

Your entire surface area is

216

the area of the rectangle on the bottom is 30

substract 30 from 216

Answer:

We can't see the graph

Step-by-step explanation:

Answer:

x = cost of each t-shirt

y = cost of each sweatshirt

Step-by-step explanation:

Given equation:

2x + 2y = 26 (1)

x + 3y = 33 (2)

From (2)

x = 33 - 3y

Substitute x = 33 - 3y into (1)

2x + 2y = 26 (1)

2(33 - 3y) + 2y = 26

66 - 6y + 2y = 26

- 6y + 2y = 26 - 66

-4y = -40

y = -40/-4

y = 10

Substitute y = 10 into (2)

x + 3y = 33 (2)

x + 3(10) = 33

x + 30 = 33

x = 33 - 30

x = 3

Where,

x = cost of each t-shirt = $3

y = cost of each sweatshirt = $10

Answer:

-2

Step-by-step explanation:

I hope it helps

Answer:

A and C are functions.

The domain is x and the range is y

Step-by-step explanation:

Each x - value can have only one y -value

Function= unique x-values

Y can be the same answer but the X has to be different

Answer:

[see below]

Step-by-step explanation:

The bike's original price is 300 dollars. It has been discounted by 30%.

300 * 0.3 = 90

The price would be 90 dollars off.

300 - 90 = 210

$210 would be the subtotal.

There is also an 8% sales tax.

210 * 0.08 = 16.80

210 + 16.80 = 226.80

Hope this helps you!

Answer:

cost of the bike =$300

discount = 30%

Price of the bike ={ (30/100)×300}-300=210

Sales tax= 8%

Final cost =( 8/100)×210=16.80+210=226.80

Answer:

the longest side of the first triangle is 32 cm

Step-by-step explanation:

Given;

dimension of the smaller triangle =  4.5cm 6cm and 8 cm.

the longest side of this smaller triangle = 8 cm

Perimeter of the first triangle = 74 cm

let the increase in dimension of the similar first triangle = x

the longest side of the first triangle = 8x

4.5x + 6x + 8x = 74

18.5x = 74

x = 74/18.5

x = 4

the longest side of the first triangle = 8 x 4 = 32 cm

Answer:

173

Step-by-step explanation:

Area of dirt in the flower bed = area of flowerbed - area of 3 trapezoids

Area of flowerbed:

The flowerbed is in the shape of a parallelogram

The area of a parallelogram can be calculated by multiplying the base length times the height

Base length = 20ft

Height = 10ft

Area of flowerbed = 10 * 20 = 200ft^2

Area of rockbeds

The rockbeds are in the shape of trapezoids

The area of a trapezoid can be calculated using this formula

A = (a + b)/2 * h

Where a and b = bases and h = height

The rockbeds of base lengths of 2 and 4 and have heights of 3

So area of rockbeds = (4 + 2)/2 * 3

4 + 2 = 6

6 / 2 = 3

3 * 3 = 9

We then multiply that by 3 ( because there are three rockbeds )

9 * 3 = 27

Finally we subtract the areas

200 - 27 = 173

Answer:

C

Step-by-step explanation:

We are given that:

[tex]\sin \theta +\csc \theta = 2[/tex]

And we want to find the value of:

[tex]\sin^2\theta + \csc^2\theta[/tex]

From the first equation, we can square both sides:

[tex](\sin \theta + \csc \theta)^2=(2)^2[/tex]

Square:

[tex]\sin ^2\theta +2\sin\theta\csc\theta +\csc^2\theta =4[/tex]

Let csc(θ) = 1 / sin(θ):

[tex]\displaystyle \sin ^2\theta +2\sin\theta\left(\frac{1}{\sin \theta}\right) +\csc^2\theta =4[/tex]

Simplify:

[tex]\displaystyle \sin ^2\theta +2(1) +\csc^2\theta =4[/tex]

Therefore:

[tex]\sin ^2\theta + \csc^2\theta =2[/tex]

Our answer is C.

Answer:

mean: 38

range: 27

median: 40

Step-by-step explanation:

mean: 40+13+49+52+35 / 5

range: 40 - 13

median : 40

Answer:

Mean = 38

Range = 40

Median = 40

Step-by-step explanation:

Arrange the terms in ascending order :

13, 35 , 40 , 49 , 53

[tex]Mean = \frac{40 + 13 + 49 + 53 + 35}{5} = 38[/tex]

[tex]Range = {53 - 13} = 40[/tex]

[tex]Median = \ the \ middle \ term = 40[/tex]

Answer:

Find the volume of this prism.

Answer:

Step-by-step explanation:

Answer:

t = 3 hours

Step-by-step explanation:

The distance between A and B is 198 km

Kenan traveled by car from A to B at an average speed of 66km/h

We need to find the time taken to complete the journey. It can be solved as follows :

[tex]v=\dfrac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{198}{66}\\\\t=3\ h[/tex]

So, the required time is equal to 3 hours.

Answer:

V≈421.88

Step-by-step explanation:

Answer:

16.6 inches

Step-by-step explanation:

using the pythagorean theorem which is a^2 + b^2 = c^2 you can add 9^2 + 14^ together to get 277 and when you find the square root of 277 you get 16.6

Answer:

Step-by-step explanation:

She made the -2(6) as a positive 12. it should've been a negative 12 because a negative multiplied by a positive is a negative.

Sum of interior angles of a triangle = 180°

x+40+30= 180°

x+ 70=180

x= 180-70

x= 110°

Answer:

x = 110

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

x + 40° + 30° = 180°

x + 70° = 180° ( subtract 70° from both sides )

x = 110°

Answer:

x = 30

Step-by-step explanation:

If two triangle are similar then the measure of their corresponding sides are

proportional.

   [tex]\frac{JL}{PQ} = \frac{JK}{PR}\\\\\frac{20}{x} = \frac{24}{36}\\\\x \times 24 = 20 \times 36[/tex]                              [tex][ \ cross \ multiply \ ][/tex]

   [tex]x = \frac{20 \times 36}{24}\\\\x = 5 \times 6 = 30[/tex]

Answer:

true

Step-by-step explanation:

AUB=A+B-(A∩B)

Answer:

5

Step-by-step explanation:

Answer:

5050 = 225f + 125p

If p = 17 this month, then, f = 13

Step-by-step explanation:

Kiri owns a coworking space that has two primary types of memberships, full time and part-time. In order to pay her bills each month (rent on the building, electricity, internet, and so on) she needs to make $5050. Full-time memberships (f) cost $225 per month, and part-time memberships (p) cost $125 per month.

If Kiri has 17 part-time members this month, how many full-time members does she need according to your equation?

Total cost = $5050

cost of full-time memberships = $225

number of full time members = f

cost of part-time memberships = $125

number of part-time members = p

Total cost = cost of full-time memberships * number of full time members + cost of part-time memberships * number of part-time members

5050 = 225f + 125p

If p = 17 this month,

5050 = 225f + 125p

5050 = 225f + 125(17)

5050 = 225f + 2,125

5050 - 2,125 = 225f

2,925 = 225f

f = 2,925/225

f = 13

number of full time members = f = 13

If p = 17 this month, then, f = 13

Answer:

X^2/3

Step-by-step explanation: