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aksik [14]
4 years ago
13

There are 158 students on a field trip.

Mathematics
1 answer:
Vilka [71]4 years ago
8 0

Answer:

51 students

Step-by-step explanation:

what you know:

cars = 5

buses = 3x

equation:

158 = 5 + 3x

subtract 5 from both sides

153 = 3x

divide by 3

x = 51

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All 4 questions please
scZoUnD [109]

Answer:

  1. π = S/2πrh
  2. v = √2E/m
  3. b = (-7a+c)/2
  4. x =3y-1

Step-by-step explanation:

1.

S = 2\pi rh\\Divide\:both\sides\:of\:the\:equation\:by\:2rh\\\\\frac{S}{2rh} = \frac{2 \pi rh}{2 rh} \\\\\pi = \frac{S}{2rh}

2.

E = \frac{1}{2} mv^2\\\\E = \frac{mv^2}{2} \\\\Cross\:multiply\\\\2E =mv^2\\Divide\:both\:sides\:of\:the\:equation\:by\:m\\\frac{2E}{m} = \frac{mv^2}{m} \\\\\frac{2E}{m} =v^2\\Square\:root\:both\:sides\:of\:the\:equation\\\sqrt{\frac{2E}{m} } = \sqrt{v^2} \\\\\sqrt{\frac{2E}{m} } =v\\\\v =\sqrt{\frac{2E}{m} }

3.

7a+2b =c\\Isolate\:b\\\\2b =c-7a\\2b= -7a+c\\Divide\:both\:sides\:of\:the\:equation\:by \:2\\\frac{2b}{2} =\frac{-7a+c}{2} \\\\b = \frac{-7a+c}{2}

4.

y = \frac{1}{3} (x+1)\\\\y = \frac{x+1}{3}\\\\Cross\:multiply \\3y =x+1\\Isolate \:x\\3y -1=x\\\\x =3y-1

7 0
3 years ago
How to evaluate this f (x) = -x^+1 for x =-3
sukhopar [10]
Just plug in -3 for x. So it will be -(-3)^+ 1
Which is 3^+1.
I'm confused by your ^ sign I'm not sure if this is supposed to be squared or not...? But just solve/simplify the equation.
Hope this helps!
4 0
3 years ago
Read 2 more answers
If f(x) = 4x + 12 is graphed on a coordinate plane, what is the y-intercept of the graph?
Ierofanga [76]

Answer:

it's -4 I just took the test and you will get it write

6 0
4 years ago
What is the best approximation of the value of w? 1. 4 cm 4. 0 cm 6. 0 cm 7. 3 cm.
MrRissso [65]

To solve the problem we must know about Sine Rule.

<h3>What is Sine rule?</h3>

The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,

\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}

where

  • Sin A is the angle and α is the length of the side of the triangle opposite to angle A,
  • Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
  • Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.

The value of w is 4.0 cm.

Given to us

  • VW = 3.3 cm,
  • ∠U = 31°,
  • ∠W = 39°,
<h3>Using the sine law,</h3>

\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}

Substitute the values,

\dfrac{Sin\ W}{w} = \dfrac{Sin\ U}{VW}

\dfrac{Sin\ 39^o}{w}=\dfrac{Sin\ 31^o}{3.3}

w=\dfrac{(Sin\ 39^o) \times 3.3}{Sin\ 31^o}

w = 4.03224 cm ≈ 4.0 cm

Hence, the value of w is 4.0 cm.

Learn more about Sine Rule:

brainly.com/question/17289163

4 0
2 years ago
1/2 + 1/6 what is it pls help!!!!
ale4655 [162]

Answer:

4/6

Step-by-step explanation:

1/2 = 3/6. 3/6 + 1/6 = 4/6

3 0
3 years ago
Read 2 more answers
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