A coach in a train can seat exactly 72 people for a trip. The train has 12 such coaches. If the train made 156 trips in full capacity in a year, how many people has it carried in that time?

Complete question :

A local Charity receives 1/3 of funds raised during a craft fair and bake sale. The total amount given to the charity was $137.45. How much did the bake sale raise

Answer:

$412.35

Step-by-step explanation:

Given that:

Fraction Given to charity from bake sale = 1/3 of amount raised

Amount given to charity = $137.45

Let amount raised from bake sale = x

Hence,

1/3 of x = 137.45

x / 3 = 137.45

x = 137.45 * 3

x = $412.35

Amount raised from bake sale = $412.35

I think there is a little error in your question. I guess You mean 60 vaccinations instead of 606060. I solved using 60 vaccinations.

Answer:Dr. Potter gave 32 polio vaccines and 28 measles vaccinations that year.

Step-by-step explanation:

STEP 1

Let number of polio vaccines be x

and number of measles vaccine be y

such that

total does of 60 vaccinations be expressed as

x+y = 60---- equation 1

And number of doses for both  vaccine to total 184 doses taken be expressed as

4x + 2y= 184 ---- equation 2

Step 2--- solving

x+y = 60---- equation 1

4x + 2y= 184 ---- equation 2

Making x the subject of formula in equation 1 and substituting it in equation 2

x= 60-y

4(60-y) +2y- 184

240-4y+2y=184

240-184= 4y-3y

56= 2y

y= 58/2 = 28

To get x , put the value of y=28 in equation 1 and solve

x+y=60

x=60-28

x=32

Therefore Dr. Potter gave 32 polio vaccines and 28 measles vaccinations that year.

Answer:

The coordinates of B' and C' are [tex]B'(x,y) = (4, -7)[/tex] and [tex]C'(x,y) = (-1, -8)[/tex], respectively.

Step-by-step explanation:

From the Linear Algebra, we define the translation of a given point as:

[tex]O'(x,y) = O(x,y) + T(x,y)[/tex] (1)

Where:

[tex]O(x,y)[/tex] - Original point, dimensionless.

[tex]T(x,y)[/tex] - Translation vector, dimensionless.

[tex]O'(x,y)[/tex] - Translated point, dimensionless.

If we know that [tex]A'(x,y) = (1, -5)[/tex] and [tex]A(x,y) = (4,-2)[/tex], then the translation vector is:

[tex]T(x,y) = A'(x,y)-A(x,y)[/tex] (2)

[tex]T(x,y) = (1,-5)-(4,-2)[/tex]

[tex]T(x,y) = (-3,-3)[/tex]

If we know that [tex]B(x,y) = (7,-4)[/tex], [tex]C(x,y) = (2,-5)[/tex] and [tex]T(x,y) = (-3,-3)[/tex], then the translated points are, respectively:

[tex]B'(x,y) = B(x,y)+T(x,y)[/tex] (3)

[tex]B'(x,y) = (7,-4) +(-3,-3)[/tex]

[tex]B'(x,y) = (4, -7)[/tex]

[tex]C'(x,y) = C(x,y) +T(x,y)[/tex]

[tex]C'(x,y) = (2,-5) + (-3,-3)[/tex]

[tex]C'(x,y) = (-1, -8)[/tex]

The coordinates of B' and C' are [tex]B'(x,y) = (4, -7)[/tex] and [tex]C'(x,y) = (-1, -8)[/tex], respectively.

Answer:

Below.

Step-by-step explanation:

a.    Φ^2 − Φ − 1 = 0

Φ2 − Φ = 1

(Φ - 0.5)^2 - 0.25 = 1

(Φ - 0.5)^2 = 1.25

Φ - 0.5 = √(1.25)      (We only take the positive root).

Φ  = 0.5 + √(1.25)

b. I used Completing the square.

c.  Φ is irrational That is it cannot be represented as a fraction a/b and because of this it can only be approximated by a decimal.

Answer:

25%

Step-by-step explanation:

Answer:

A has 3 factors: 31 x 37 x 37

Step-by-step explanation:

31 and 37 are prime numbers so there are no other factors. due to the square the factor 37 shows up twice.

Answer:

i am correct :))))))))))) hope this helped

Answer:

6^10

Step-by-step explanation:

Answer:

6¹⁹

Step-by-step explanation:

2 + 11 + 3 = 6¹⁹

Answer:

[tex]b \approx 4.6[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Pre-Calculus

Step-by-step explanation:

Step 1: Define

A = 50°

B = 62°

a = 4

Step 2: Solve for b

Answer:

(y-7) (y+12)

Step-by-step explanation:

Factor y2+5y−84y2+5y-84 using the AC method.

Answer:

m=14°, n=28°

Step-by-step explanation:

Angles in a Circle

The central angle is formed between two radii and its vertex at the center of the circle.

An inscribed angle is formed between two chords whose vertex lies on the circumference of a circle.

The measure of the central angle a formed by the same lines that form an inscribed angle b is:

a = 2b

This means the angle of a = 98° is double of the inscribed angle of 35°+m:

98 = 2(35 + m)

Dividing by 2:

49 = 35 + m

Solving for m:

m = 49 - 35 = 14

m = 14°

Angles m and n are also formed by the same lines, and:

n = 2m

Thus:

n = 28°

Answer: m=14°, n=28°

Answer:

Mario brought 5 magazines

Step-by-step explanation:

If you just add $12.60 and $2.25 together then keep adding $2.25 until you get to $23.85, you'll get your answer.

So like,  

(1) 12.60 + 2.25 = 14.85

(2) 14.85 + 2.25 = 17.1

(3) 17.1 + 2.25 = 19.35

(4) 19.35 + 2.25 = 21.6

(5) 21.6 + 2.25 = 23.85  

So the total would be 5. Mario bought 5 magazines.

Answer: -3

Step-by-step explanation:

(this is just my way):

1. First create an equation: 2-(-4) over 6-8

2. Simplify: 6/-2 => -3

Tada, you already go your slope

Have a nice day :)

Answer:

D

Step-by-step explanation:

Here, we want to compare the graph of g(x) and f(x)

Looking at the given equations, the difference between the two is that we have 5 subtracted from one of the equations

What this means is that we are moving down 5 units away from the graph of f(x) to get the graph of g(x)

Thus, option D is the correct answer

Answer:

13 hours 55 minutes

Step-by-step explanation:

A train leaves at 5:35

The train arrives at its destination at 18:20

Therefore the time interval between 5:35 and 18:20 is

13 hours 55 minutes

Hence the journey is 13 hours 55 minutes long

Answer:

The fraction of the beads that are red is

Step-by-step explanation:

Algebraic Expressions

A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:

r:y = 2:3

y:b = 5:4

We are required to find r:s, where s is the total of beads in the bag, or

s = r + y + b

Thus, we need to calculate:

[tex]\displaystyle \frac{r}{r+y+b} \qquad\qquad [1][/tex]

Knowing that:

[tex]\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2][/tex]

[tex]\displaystyle \frac{y}{b}=\frac{5}{4}[/tex]

Multiplying the equations above:

[tex]\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}[/tex]

Simplifying:

[tex]\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3][/tex]

Dividing [1] by r:

[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}[/tex]

Substituting from [2] and [3]:

[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}[/tex]

Operating:

[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}[/tex]

[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}[/tex]

[tex]\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}[/tex]

The fraction of the beads that are red is [tex]\mathbf{\frac{10}{37}}[/tex]

Answer:

your answer should be x = -3

Answer:

x=-3

Step-by-step explanation:

7-2x-11+9-3x=20

5-5x=20

-5x=15

x=-3

The number of minutes that Abby spend working on her science project altogether is 56 minutes.

From the information, Abby spent 22 minutes working on her science project yesterday and 34 minutes working on today.

Therefore, the time used altogether will be the addition of the time used for both occasions

= 22 minutes + 34 minutes

= 56 minutes

This illustrates addition.

Learn more about time on:

brainly.com/question/26046491

#SPJ1

Answer:

67

Step-by-step explanation:

2x3=6

402/6=67

2x3x67=402

hope this helped:)

Answer: C is the answer hope this helps!

Step-by-step explanation: Merry Christmas!

Answer:

A. 12x^4 + 10x^3 - 22x^2 - 15x

Step-by-step explanation:

(6x^2 - 4x - 5)(2x^2 + 3x)

2x^2 (6x^2 - 4x - 5) + 3x(6x^2 - 4x - 5)

12x^4 - 8x^3 - 10x^2 + 18x^3 - 12x^2 -15x

12x^4 + 10x^3 - 22x^2 - 15x

Answer:

5x + 20

Step-by-step explanation:

5(x +4)

= 5x + 20

multiply x + 4 by 5

Answer:

there all the same variables so it'll be 6y

Answer:

[tex]\angle F =\bold{88^\circ}[/tex]

Step-by-step explanation:

Given a [tex]\triangle FGH[/tex] with the following angles:

[tex]\text{m}\angle F = (6x-14)^{\circ}[/tex]

[tex]\text{m}\angle G = (4x-8)^{\circ}[/tex]

[tex]\text{m}\angle H = (x+15)^{\circ}[/tex]

To find:

[tex]\text{m}\angle F[/tex] = ?

Solution:

Here, we can simply use the angle sum property of a triangle to find the value of [tex]\text{m}\angle F[/tex].

As per the angle sum property of a triangle, the sum of all the interior angles a triangle is equal to [tex]180^\circ[/tex].

[tex]\angle F + \angle G + \angle H = 180^\circ[/tex]

Putting all the given values in the above equation, we get:

[tex](6x-14)^{\circ} + (4x-8)^{\circ} + (x+15)^{\circ} = 180^\circ\\\Rightarrow 11x-7=180^\circ\\\Rightarrow 11x=180+7\\\Rightarrow 11x=187\\\Rightarrow x = \bold{17}[/tex]

Putting the value of [tex]x[/tex] in [tex]\angle F[/tex]

[tex]\text{m}\angle F = (6x-14)^\circ\\\Rightarrow \text{m}\angle F = (6\times 17-14)^\circ\\\Rightarrow \text{m}\angle F = \bold{88^\circ}[/tex]

Answer:

(I don't know what you mean) but the answer to that question would be 13.5 or 13 and a half

Step-by-step explanation:

Answer:

477.47 revolutions

Step-by-step explanation:

From the information given:

The formula for calculating the circumference = 2π r

Given that the radius of each wheel = 25 centimeter

Then, the circumference = 2 π (25)

= 50π cm

The distance traveled in 5 minutes is as follows:

Given that:

The speed = 45 km/ hour

i.e.

1 hour = 45 km

In an hour, we have 60 minutes

So, 60 minutes = 45 km

1 minute = 45/60 = 0.75 km

To cm;

0.75 km = (0.75 × 1000) m = 750 m

750 m = 750 × 100 = 75,000 cm

∴

The number of revolution in 5 minutes sInce 1 revolution =  50π cm is:

=  75,000 cm/ 50π cm

= 477.47 revolutions in 5 minutes

Answer:

cos 38, sin 38, sin 1580, cos 1589

Answer:

12

Step-by-step explanation: