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Romashka-Z-Leto [24]
1 year ago
13

Pls helpp

Mathematics
1 answer:
irina1246 [14]1 year ago
7 0
  • you will need 2 busses to only transport the boys.
  • Mark is at (1 + 5/6) miles of his house.
<h3>How many buses would it take to carry only the boys?</h3>

We know that there are (3 + 1/2) groups, such that each group fill one bus.

2/5 of the students are boys, then the number of groups that we can make only with boys is:

(2/5)*(3 + 1/2) = 6/5 + 1/5 = 7/5 = 5/5 + 2/5 = 1 + 2/5

Then you can make one and a little less than a half of a group, which means that you need 1 and 2/5 of a buss to transport the boys, rounding that to the a whole number, you will need 2 busses to only transport the boys.

<h3>How far is Mark from his house?</h3>

The original distance is:

D = (2 + 3/4) miles.

But Mark only covers 2/3 of that distance, then we have:

d = (2/3)*D = (2/3)*(2 + 3/4) miles = (4/3 + 2/4) miles

d = (4/3 + 1/2) miles = (8/6 + 3/6) miles = (1 + 5/6) miles

Mark is at (1 + 5/6) miles of his house.

If you want to learn more about mixed numbers:

brainly.com/question/21610929

#SPJ1

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Mr. Wong has between 300 and 1,000 small prizes to divide evenly among his
VashaNatasha [74]
He will give about 99 prizes to each student
6 0
3 years ago
write the slope- intercept form of the equation of the line parallel to - x+5y=25, passing through the point (-5,-5). simplify
Olenka [21]
To find the equation of a line that is parallel to your original equation and goes through a certain point on a graph, here's what you need to know:
First you need to find the slope of your original equation.
To do that, you need to convert it to slope intercept form (y = mx+b).
Add the x over, and then divide everything by 5 to get the y by itself.
Here's what that would look like (without the small steps that I mentioned):
-x + 5y = 25
5y = x + 25
y = 1/5x + 5

That's the original equation rewritten in slope intercept form.
The m represents the slope, so this equation's slope is 1/5.

Because you are given a point, and now you have a slope, the best and easiest route is using point slope form.
I've seen different versions of the equation base but I prefer y - y(sub1) = m(x - x(sub1))
But since I can't use subscripts in this, I'll use the one with h and k. The h is the x value of the point, and the k is the y value.
(h,k)
Then just substitute the values in and solve for y.
y - k = m(x - h)
y + 5 = 1/5(x + 5)
y + 5 = 1/5x + 1
y = 1/5x - 4

Your final answer is
y = 1/5x - 4
You can double check by using a graph. If the slopes are the same, the lines should be parallel.

I hope that helps. If anything didn't make sense, feel free to ask me.
5 0
3 years ago
M Enter the number that belongs in<br> the green box
gladu [14]

Answer:

m<C = 180 - (90+32)

= 180 - 122

= 58°

4 0
2 years ago
If three times the larger of two numbers is four times the smaller and the difference between the numbers is 8, then the larger
MaRussiya [10]

Answer:

Larger number = 32

Step-by-step explanation:

Smaller number = x

Larger number = y

y - x = 8    -----------(I)

3y = 4x  ---------------(II)

3y/4 = x

Plug in x = 3y/4 in equation (I)

y - \frac{3}{4}y = 8\\\\\frac{4}{4}y - \frac{3}{4}y = 8\\\\\frac{1}{4}y = 8\\

 y = 8*4

  y = 32

Plug in y = 32 in equation (II)

3y = 4x

3*32 = 4x

4x = 3*32

x = \frac{3*32}{4}

x = 3 *8

x = 24

7 0
2 years ago
Compared to last year, the population of boom town has increased by 25%. The population is now 6,600. What was the population la
prisoha [69]

Answer:

5280people

Step-by-step explanation:

Given parameters:

Percentage increase of population  = 25%

Population now = 6600

Unknown:

Population last year = ?

Solution:

Let the population last year = y;

   Then;

   Percentage of last years population plus the population of last year should give us this year's population;

         (\frac{25}{100} of y) + y  = 6600  

           0.25y + y = 6600

            1.25y = 6600

                   y = \frac{6600}{1.25}   = 5280people

Last year, there was 5280people in the locality.

5 0
3 years ago
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