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Vesna [10]
3 years ago
15

13.

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
5 0

Answer:

6 vans and 6 buses

Step-by-step explanation:

v+b=12 this equation represents the amount of vehicles

6v + 55b = 366 this equation represents the amount of students per vehicle.

after solving you get v=6 and b=6

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Ben, Shaneeka, and Phil live on the same street. Ben lives 6/11 mile north of Phil, and 1/3 mile north of Shaneeka. How far does
Norma-Jean [14]

Answer:

Shaneeka live from Phil 7/33 mile far.

Step-by-step explanation:

Given:

Ben lives 6/11 mile north of Phil, and 1/3 mile north of Shaneeka.

Now, to get how far does Shaneeka live from Phil.

So, by subtracting the distance from  6/11 mile north where Ben lives from Phil to  1/3 mile north where Ben lives from Shaneeka:

\frac{6}{11} -\frac{1}{3}

=\frac{6\times 3 -1\times 11}{33}

=\frac{18-11}{33}

=\frac{7}{33}

Therefore, Shaneeka live from Phil 7/33 mile far.

7 0
3 years ago
You move left 4 units. You end at (-5, -5). Where did you start?
Triss [41]

Answer:

(-1,-5)

Step-by-step explanation:

To understand where this point was before the transformation you must first understand the transformation itself. Shifting left is a horizontal translation, this means that it will affect the x-coordinate. The x-coordinate is the first digit in the pair. Therefore, in the case of (3,5), 3 would be the x-coordinate. Additionally, moving left is moving towards the negative, so it is the same as subtracting. Thus, to find where you started, work backward. Do this by adding 4 to the x-coordinate. This means the beginning coordinate was (-1,-5).

7 0
3 years ago
Solve by using substitution. Express your answer as an ordered pair.
Deffense [45]

Answer:

(1, -2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

4x + y = 2

y = x - 3

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                    4x + (x - 3) = 2
  2. Combine like terms:           5x - 3 = 2
  3. Isolate <em>x</em> term:                     5x = 5
  4. Isolate <em>x</em>:                              x = 1

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define equation:                    y = x - 3
  2. Substitute in <em>x</em>:                       y = 1 - 3
  3. Subtract:                                 y = -2
7 0
3 years ago
Read 2 more answers
E^2x - e^x - 6 = 0 (solve exponential equation(
krek1111 [17]

Let's assume, e^x = y.

Hence, the given equation can be written as:

y² - y - 6 = 0

Next step is to factor the trinomial. For that, break down the constant -6 into two multiples so that their addition will result the coefficient of y =-1.

So, 6 = -3* 2

And sum of -3 and 2 will give -1.

Therefore, we can replace -y with -3y + 2y. So,

y² - 3y + 2y - 6 =0

(y² - 3y) + (2y - 6) =0 Make the group of terms.

y(y - 3)+ 2(y -3) =0 Take out the common factor from each group.

(y - 3 ) (y + 2) = 0 Take out the common factor (y - 3).

So, y - 3 = 0 and y + 2 =0 Equate both factor equal to 0.

Hence, y = 3 and -2.

So, e^x = 3 , e^x=-2

lne^x =ln 3 , lne^x=ln(-2) Taking ln to each sides.

So, x = ln 3

But ln (-2) is not defined.

So, x = ln (3) is the real solution of the given equation.

6 0
3 years ago
What is the ratio of 2 feet to 4 yards?
lora16 [44]

Answer:

8

Step-by-step explanation:

Your Answer will be 8 Because you did 2 times 4

4 0
3 years ago
Read 2 more answers
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