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kenny6666 [7]
3 years ago
14

The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High Sch

ool B both planned trips
there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Mathematics
1 answer:
-Dominant- [34]3 years ago
7 0
High school A had 15 people in each van and bus.
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Of all the people that attend movies 67% are in the 12-29 age group. At one theater, 300 people attended a showing of a certain
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67 multiplied by 3 is 201, so there is 201 people in the age group 12-29. Also, 67% is approximately two thirds, and we can see that reflected in our answer.
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Write an equation of a line (in standard form) that has the same slope as the line 3x-5y=7 and the same y-intercept as the line
Vanyuwa [196]

Answer:

3x-5y=-20

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have two standard form equations which we will get a slope and a y-intercept from. We will convert each to slope intercept form to get the information. We will then write a new slope-intercept equation and convert to standard form.

3x-5y=7 has the same slope as the line. Let's convert.

3x-5y=7\\3x-3x-5y=7-3x\\-5y=7-3x\\\frac{-5y}{-5}=\frac{7-3x}{-5} \\

y=\frac{3}{5}x -\frac{7}{5}

The slope is m=\frac{3}{5}.

2y-9x=8 has the same y-intercept as the line. Let's convert.

2y-9x=8\\2y-9x+9x=8+9x\\2y=8+9x\\\frac{2y}{2}=\frac{8+9x}{2}

y=\frac{8}{2}+\frac{9x}{2}  \\y=4+\frac{9}{2}x

The y-intercept is 4.

We take m=\frac{3}{5} and b=4 and substitute into y=mx+b.

y=\frac{3}{5}x+4

We now convert to standard form.

-\frac{3}{5}x+y=\frac{3}{5}x-\frac{3}{5}x+4\\-\frac{3}{5}x+y=4

For standard form we need the coefficients of x and y to be not zero or fractions. We need integers but the coefficient of x cannot be negative. So we multiply the entire equation by -5 to clear the denominators.

-5(-\frac{3}{5}x+y=4)\\3x-5y=-20



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3 years ago
the mass of a mineral is 9.6g the mineral is placed in a graduated cylinder containing 8.o mL of water. the water level rises to
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The volume of the mineral = increase in volume of the water whuich is 16 - 8 = 8mls.

Therefore the  mineral's density = 9.6 / 8

= 1.2 g/ ml   answer

6 0
3 years ago
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Convert the fraction 3/11 to a decimal using long division
Dvinal [7]

0.27

so three divided by eleven is 0.27272727272727272727272727272727........so on and so forth. 

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What is 6.84 in word form
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Six point eight four.

(Note, you don't say, "Six point eighty-four" As it doesn't sound correct.

Cheers.
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3 years ago
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