∠A=5x−5,∠B=3x+13=180

Answer:

76 passengers

Step-by-step explanation:

100-36 is 64 and that makes 64 + 36 =100-30 is 70% and we have 36 + 40 =76

There were 300 passengers.

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.

Given:

Fraction of British = 2/5

Percent of British men = 30%

Number of British men = 36

let the British passenger be x

30 /100 * x= 36

x=120

and let the total passenger by y

2/5 of y = 120

y= 120 * 5/2

x= 300

Hence, there were 300 passengers.

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Answer:

75 x 0.15 = 11.25

Step-by-step explanation:

Answer:

The Answer is D

Step-by-step explanation:

Answer:

it is 11 i believe if not sry delete my answer

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Area of triangle is the length*width/2 => 4*4/2=8

For the 2nd triangle, we can separate it into two right triangles by cutting it down the middle. We can find the width of one triangle by taking the base of the first one we worked with and divide it by 2. 4/2 is 2. Multiply this by 3 to get the area, and divide by 2 again. 2*3/2=3. 3

So our answer is 8+3+3=14.

This quadrilateral is separated into two triangles.

[tex]\sf area \ of \ triangle = \dfrac{1}{2} * base * height[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{2} * 4 * 4 +\dfrac{1}{2} *4 * 3[/tex]

[tex]\hookrightarrow \sf14 \ cm^2[/tex]

Answer:

B

Step-by-step explanation:

Since 3 symbols represent 18 books, half of the symbol is 3. 18+3=21

Answer:

12/4 is equal to 15/5

The next equality after 12/4 is 15/5.

Answer:

15

Step-by-step explanation:

12/4=3, so x/5=3.

5x3=15

Answer:

4/9

Step-by-step explanation:

you know how many marbles there are in the bag so you add the number which is 9 so this shkws it will be something out of 9 since that is the total so now there are 4 blue marbles so you will just have to 4/9 I think thats how I would go on doing it.

The probability that a city bus is ready for service when needed is 84%. The probability that a city bus is ready for service and has a working radio is 67%. Find the probability that a bus chosen at random has a working radio given that it is ready for service. Round to the nearest tenth of a percent. Show your work

79.76%

Answer:

20 is 12 1/2

21 is 11 1/5

Step-by-step explanation:

Hello !

________

[tex]\sf{9d \: + \: 6e}[/tex]

________

[tex]\sf{Rewrite \: as:}[/tex]

[tex]\sf{= 3 \: ^. \: 3d \: 3 \: ^. \: 23e}[/tex]

[tex]\sf{Factor \: out \: common \: term \: 3}[/tex]

[tex]\sf{= 3(3d \: + 2e)}[/tex]

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Dollixna ~

Complete question :

Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of $100 dollars, in addition to a constant fee for each vertical meter climbed. For instance, the price for climbing to the Shira Volcanic Cone, which is 3000 meters above the base of the mountain, is $400 dollars. Let F(d) denote the fee of a trip F (measured in dollars) as a function of the vertical distance climbed d (measured in meters). Write the function's formula.

Answer:

F(d) = $100 + $0.1d

Step-by-step explanation:

Given the following :

Total Cost of mountain climbing :

Initial fee + constant fee per vertical meter climbed

Initial fee = $100

Total cost of climbing the Shira volcanic cone = $400

Height of Shira volcanic cone = 3000 m

The fee of a trip ; F(d) ; where d = distance

Let constant fee per vertical meter = p

F(d) = $100 + 3000 * p

$400 = $100 + 3000p

$400 - $100 = 3000p

$300 = 3000p

p = 300/3000

p = $0.10

Hence, the fee for a trip:

F(d) = $100 + $0.1d

Answer:

y=100+0.1x

Step-by-step explanation:

khan academy

Answer:

(x - 36) is the measure of the angle A  

Step-by-step explanation:

Answer:

354

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Answer:

the answer is 354

60% = 0.6/.6

590 x .6 = 354

Answer:

Step-by-step explanation:

y-intercept is where the line on your graph crosses through the y-axis

Step-by-step explanation:

the answer is the f^-2(x)=2x+2

over

4

Answer:

the last one

Step-by-step explanation:

do you need an explanation?

Vic's cookies having a ratio of flour to butter of 250/170 contains less

butter than Imani's cookies, 750/630, what Vic will think is therefore;

(A) Imani's cookies have too much butter

The quantity of flour per 170 grams of butter in Vic's cookies = 250 grams

The amount of flour Imani uses for every 630 grams of butter = 750 grams

Required:

What Vic will think about the amount of butter in Imani's cookies

Solution;

[tex]Ratio \ of \ butter \ per \ gram \ of \ flour \ in \ Vic's \ cookies = \dfrac{170 \, g}{250 \, g} = \dfrac{17}{25} = \mathbf{0.68}[/tex]

[tex]Ratio \ of \ butter \ per \ gram \ of \ flour \ in \ Imani's\ cookies = \dfrac{630\, g}{750\, g} = \dfrac{17}{25} = \mathbf{0.84}[/tex]

Imani's cookies contains more cookies than Vic's cookies, what Vic will

think of the amount of butter in Imani's cookies is therefore;

(A) Imani's cookies have too much butter

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Answer:

Step-by-step explanation:

the answer is A ^^

The length of an arc with π/3 radian angle and a radius of 18 cm is calculated as: 6π cm.

If we are given a circle with radius, r, and a radian angle, ∅, therefore, the length of an arc would be:

S = r∅

Given the following:

Length of arc = 18 × π/3 = 6π cm

In conclusion, the length of an arc with π/3 radian angle and a radius of 18 cm is calculated as: 6π cm.

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Answer:

7

Step-by-step explanation:

5, 5, 6, 7, 7, 7

7 appears the most

Answer:

The mode is 7

Step-by-step explanation:

Add all of these numbers and divide it by 8 to get 7

Answer:

a) El radio de la Tierra es 3.668 veces mayor que el radio de la Luna.

b) El radio del Sol es 109.245 veces mayor que el radio de la Tierra.

c) El radio del Sol es 400.711 veces mayor que el radio de la Luna.

Step-by-step explanation:

a) ¿Cuántas veces es mayor el radio de la Tierra que el de la Luna?

En esta pregunta nos piden la razón del radio medio de la Tierra al radio medio de la Luna. Las unidades están en kilómetros:

[tex]r = \frac{6.371\times 10^{3}\,km}{1.737\times 10^{3}\,km}[/tex]

[tex]r = 3.668[/tex]

El radio de la Tierra es 3.668 veces mayor que el radio de la Luna.

b) ¿Cuántas veces es mayor el diámetro del Sol que de la Tierra?

El diámetro equivale a dos veces el radio, por tanto, se puede utilizar la relación de radios para determinar la razón, definida en este caso como la razón del radio medio del Sol al radio medio de la Tierra. Las unidades están dadas en kilómetros:

[tex]r= \frac{6.96\times 10^{5}\,km}{6.371\times 10^{3}\,km}[/tex]

[tex]r = 109.245[/tex]

El radio del Sol es 109.245 veces mayor que el radio de la Tierra.

c) ¿Cuántas veces es mayor el diámetro del Sol que el de la Luna?

El diámetro equivale a dos veces el radio, por tanto, se puede utilizar la relación de radios para determinar la razón. Una forma sintética de obtener la razón consiste en obtener el producto de las razones encontradas en a) y b). Es decir:

[tex]r = 3.668\times 109.245[/tex]

[tex]r = 400.711[/tex]

El radio del Sol es 400.711 veces mayor que el radio de la Luna.

Answer:

1.5 pints.

Step-by-step explanation:

Solution,

Given,

1 cup = 8 oz.

2 cup = 1 pint.

So,

24 oz = 1 cup / 8 = 3 cup.

Then,

We have,

3 cup = 1 pint / 2 cups = 1.5 pints.

Let's find out

[tex]\\ \sf\longmapsto \dfrac{a^{-4}}{b^{-2}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{b^2}{a^4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2^2}{3^4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{4}{81}[/tex]

Answer:

A, D and F

Step-by-step explanation:

3√6 = √3^2*6

3√6 = √54

Applicable answers

A. √54 = √27*2 = √27 * √2

D. 3√6 = √54

F. √54 = √9*6 = √9 * √6

Step-by-step explanation:

Take the average of the two points that are on each side of the shapes.

--> to find the circle's number, 1+0/2 = 0.5

triangle = 3+2/2 = 2.5

star = 4+3/2 = 3.5

Answer:

a. [tex]\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c[/tex]

b. [tex]x(t) = 6\frac{2}{3} \cdot c \cdot t[/tex]

c. [tex]c = \dfrac{3}{8} \ g/L[/tex]

Step-by-step explanation:

a. The volume of water initially in the fish tank = 15 liters

The volume of brine added per minute = 5 liters per minute

The rate at which the mixture is drained = 5 liters per minute

The amount of salt in the fish tank after t minutes = x

Where the volume of water with x grams of salt = 15 liters

dx =  (5·c - 5·c/3)×dt = 20/3·c = [tex]6\frac{2}{3} \cdot c \cdot dt[/tex]

[tex]\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c[/tex]

b. The amount of salt, x after t minutes is given by the relation

[tex]\dfrac{dx}{dt} = 6\frac{2}{3} \cdot c[/tex]

[tex]dx = 6\frac{2}{3} \cdot c \cdot dt[/tex]

[tex]x(t) = \int\limits \, dx = \int\limits \left ( 6\frac{2}{3} \cdot c \right) \cdot dt[/tex]

[tex]x(t) = 6\frac{2}{3} \cdot c \cdot t[/tex]

c. Given that in 10 minutes, the amount of salt in the tank = 25 grams, and the volume is 15 liters, we have;

[tex]x(10) = 25 \ grams(15 \ in \ liters) = 6\frac{2}{3} \times c \times 10[/tex]

[tex]6\frac{2}{3} \times c =\dfrac{25 \ grams }{10}[/tex]

[tex]c =\dfrac{25 \ g/L }{10 \times 6\frac{2}{3} } = \dfrac{25 \ g/L}{10 \times \dfrac{20}{3} } =\dfrac{3}{200} \times 25 \ g/L= \dfrac{75}{200} \ g/L = \dfrac{3}{8} \ g/L[/tex]

[tex]c = \dfrac{3}{8} \ g/L[/tex]

Answer:

215 in³

Step-by-step explanation:

This is just for math problems.

The 1970 Dodge Challenger could have engines ranging from 225 cubic inches to 440 cubic inches.

What is the difference in displacement between the smallest and largest engines?

Now it's a math problem.

440 - 225 = 215

Answer: 215 in³