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aleksandr82 [10.1K]
4 years ago
13

A school is planning a field trip for 142 people. The

Mathematics
2 answers:
viva [34]4 years ago
6 0

Answer:


Step-by-step explanation:

The trip will use six drivers therefore

x+y=6

51x+10y=142 (A bus can seat 51 passengers. A van can seat 10 passengers.)

10x+10y=60

41x=82

x=2 buses

y=4 vans


zvonat [6]4 years ago
4 0
The trip will use six drivers therefore
x+y=6
51x+10y=142 (A bus can seat 51 passengers. A van can seat 10 passengers.)
10x+10y=60
41x=82
x=2 buses
y=4 vans
Got it?
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What is the equivalent fraction for 40/100
mel-nik [20]
Namaste......

HERE IS YOUR ANSWER:

\frac{40}{100}


✈ \boxed{0.4}
4 0
3 years ago
The sum of the reciprocal of two consecutive odd integers is 44/483.Write a rational equation to solve the problem.
Arturiano [62]

Answer:

Step-by-step explanation:

Let consecutive odd integers be (2x + 1) and (2x + 3)

Their reciprocals are \frac{1}{2x + 1 }    and \frac{1}{2x + 3 }

\frac{1}{2x+1}+\frac{1}{2x+3}=\frac{44}{483}\\\\\frac{1*(2x+3)}{(2x+1)(2x+3)}+\frac{1*(2x+1)}{(2x+3)(2x+1)}=\frac{44}{483}\\\\\frac{2x + 3 + 2x +1}{(2x + 1)(2x+3)}=\frac{44}{483}\\\\\frac{4x + 4}{4x^{2}+8x+3}=\frac{44}{483}\\

483*(4x+4) = 44*(4x² + 8x + 3)

483*4x + 483*4 = 44*4x² + 44*8x  + 44*3

1932x + 1932 = 176x² + 352x + 132

176x² + 352x + 132 -1932x - 1932 = 0      

Combine like terms

176x² + 352x - 1932x - 1932 + 132 = 0

176x² - 1580x - 1800 = 0

Divide the equation by 4

44x² - 395x - 450 = 0

8 0
3 years ago
Find the midpoint of A and B where A has coordinates (2, 3)
Agata [3.3K]

Answer:

The mid-point of AB is (5,6)

Step-by-step explanation:

The mid-point of two points lies between the middle of two points or divides the line in two equal parts.

The formula for finding mid-point, M, is:

M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Here (x1,y1) are the coordinates of first point and (x2,y2) are coordinates of second point.

Given

(2, 3) and (8,9)

Putting the values in the formula

M(x,y) =(\frac{2+8}{2} , \frac{3+9}{2})\\M = (\frac{10}{2}, \frac{12}{2})\\M = (5,6)

Hence,

The mid-point of AB is (5,6)

3 0
3 years ago
X+4 is the same as 4+x
babunello [35]
Yes it is the same , just written differently
3 0
3 years ago
Read 2 more answers
If tan 0 = 12/5 and cos 0 = - 5/13 then what is sin 0
slamgirl [31]
Refer to the diagram shown below.

Because tan θ = 12/5 and cos θ = -5/13, therefore θ is in quadrant 3.
The sine function is negative in quadrant 3, therefore
sin θ = - 12/13

Answer: - 12/13

7 0
4 years ago
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