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DedPeter [7]
3 years ago
11

One school bus can hold 46 students. There are 29 students in each of the 5 fifth-grade classes. How many buses will they need i

n order to transport everyone to the zoo for a field trip?
Mathematics
2 answers:
pentagon [3]3 years ago
3 0
29x 5 is 145 students
Divide by 46 answer is 4 buses
Damm [24]3 years ago
3 0

Answer:

4

Step-by-step explanation:

29x5=145

= 145 (divided) 46= 3.15...

4 buses

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A triangle has sides with lengths of 2x - 7, 5x - 3, and 2x - 2. What is the perimeter
alex41 [277]
P=2x-7 + 5x-3 +2x-2
P= 9x -12
6 0
3 years ago
6 16x + 5y = -2<br> 4x - y=-2
Grace [21]

Answer:

x=2/9,y=26/9

Step-by-step explanation:

This is a simultaneous equation

16x+5y=-2..(1)

4x-y=-2...(2)

From (2) make y the subject of formula

y=4x+2..(3)

Substitute (3) into (1)

16x+5(4x+2)=-2

16x+20x+10=-2

36x-10=-2

Add 10 to both sides

36x=8

Divide both sides by 36

x=8/36

Divide both denominator and numerator by 4

x=2/9

Substitute the value x into (3)

y=4(2/9)+2

y=8/9+2

Let the LCM be 9

y=8+18/9

y=26/9

Therefore x=2/9,y=26/9

5 0
3 years ago
A square table 4 feet on each side has two drop leaves, each a semicircle 4 feet in diameter.
lisov135 [29]

Answer:

hurry

Step-by-step explanation:

4 0
3 years ago
Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.
mafiozo [28]

Answer:

A = 4

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

y = \frac{2}{x}

y'=-2\cdot x^{-2}

The numerical value of the slope is:

y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}

The component of the y-axis is:

y = \frac{2}{9}

Now, the tangent line has the following mathematical model:

y = m \cdot x + b

The value of the intercept is found by isolating it within the equation and replacing all known variables:

b = y - m \cdot x

b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}

Thus, the tangent line is:

y = -\frac{2}{81}\cdot x + \frac{4}{9}

The vertical distance between a point of the tangent line and the origin is given by the intercept.

d_{y} = \frac{4}{9}

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

-\frac{2}{81}\cdot x + \frac{4}{9}=0

-\frac{2}{9}\cdot x + 4 = 0

x = 18

d_{x} = 18

The area of the triangle is computed by this formula:

A = \frac{1}{2}\cdot d_{x}\cdot d_{y}

A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )

A = 4

4 0
4 years ago
State the x- and y-intercept of the line defined by the function-1/4x+4y=2
Vlad [161]

Answer:

The y-intercept is (0, 1/2)

The x-intercept is (0, -8)

7 0
3 years ago
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