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Yanka [14]
4 years ago
11

Mr. Thompson's sixth-grade class is competing in the school field day. There are 16 boys and 12 girls in his class. He divided t

he class into the greatest number of teams possible with the same number of boys and girls on each team? How many girls are on each team? How many boys are on each team?
Mathematics
1 answer:
slamgirl [31]4 years ago
4 0
There are 3 girls on each team and 4 boys on each team.
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The solution to a system of two linear equations is (4, -3). One equation has a slope of 4. The slope of the other line is the n
astraxan [27]

Answer:

Hello,

First equation is false

Second equation is true

Step-by-step explanation:

1)

(4,-3) is a point of the line y=4x-19  since

-3=?4*4-19

-3=-3

2)

(4,-3) is not a point of the line y=1/4x-2 since

-3=? 1/4*4-2

-3=? 1-2

-3≠-1

I have written that because it is difficult for me to understand

"the negative reciprocal of the slope of the first"

the negative reciprocal of 4 should be -1/4.

Equation y=1/4x-2 is false.

5 0
3 years ago
Find the value of x. Then find the measure of each labeled angle.<br> (9x - 10)<br> (5x + 38)
omeli [17]

Answer:

x=12 and

(9*12)-10=98

(5*12)+38=98

both angles are = 98

Step-by-step explanation:

do this :

9x - 10 = 5x + 38

( - 5x from both sides)

4x - 10 = 38

(add 10 to both sides)

4x = 38+10

4x=48

(divide by 4)

x=48/4

 = 12

substitute into the equations:

(9*12)-10

(5*12)+38

3 0
3 years ago
Jenny made $315.25 for 8 hours of work. How much would Jenny make for 40 hours of work
bagirrra123 [75]
If Jenny made $315.25 for 8 hours of work:

Then it means that she made:
$312.25/8 hours = $39.41 per hour.

If Jenny works for 40 hours, then she will make:

40 hours × $39.41 = $1,576.25


Please mark my answers as the Brainliest if you find my explanations/solution helpful :)
6 0
3 years ago
A golfer takes two putts to get the ball into the hole. The first putt rolls the ball 10.3 feet in the northwest direction and t
creativ13 [48]

Let's put this on the usual Cartesian grid just so we can talk about it without drawing a picture.  We'll use map conventions, right is east, up is north.

The ball starts at (0,0).   10.3 feet northwest means we have an isosceles right triangle whose diagonal is 10.3 feet.  It's isosceles because northwest means equal parts north and west.   

The sides of these triangles are in ratio 1:1:\sqrt{2} so the coordinates after the first putt are

(- 10.3 / \sqrt{2}, 10.3 / \sqrt{2})

The negative sign indicates west, which doesn't really matter for this problem.  The distance from the origin to this point is 10.3 as required.

Now a second putt of 3.8 feet north puts us at
 
(- 10.3 / \sqrt{2}, 10.3 / \sqrt{2} + 3.8)

The squared distance to the origin is exactly

d^2 = 10.3^2/2 + (10.3 / \sqrt{2} + 3.8)^2

A little calculator work tells us

d \approx 13.2621

Third choice.



3 0
3 years ago
Pleaseee solve i need in at least 5 mins
inna [77]
G=11 because the math and the numbers all add one to one round number
5 0
3 years ago
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