4.
The coordinates of Care (x, 5), the coordinates of
D are (6,9), and the coordinates of the midpoint,
M, of are (-1,7). Find x.

The first number will be [tex]\frac{11}{2}[/tex] and the second number will be [tex]-\frac{5}{4}[/tex].

Let the first number be x and the second number be y.

According to the question,

Since seven times the first number plus six times the second number equals 31. So,

[tex]7x+6y=31.......(1)[/tex]

Similarly,Three times the first number minus ten times the second number is 29.So,

[tex]3x-10y=29.......(2)[/tex]

Multiplying equation (1) by 3 and equation (2) by 7, we get

[tex]21x+18y=93[/tex]

[tex]21x-70y=203[/tex]

Now subtracting both the equations we get,

[tex]88y=-110[/tex]

[tex]y=-\dfrac{110}{88}[/tex]

[tex]y=-\dfrac{5}{4}[/tex]

putting the value of x in equation (1) we get,

[tex]7x+6\times-\dfrac{5}{4} =31[/tex]

[tex]7x-\dfrac{15}{2}=31\\[/tex]

[tex]7x=31+\dfrac{15}{2}[/tex]

[tex]7x=\dfrac{77}{2}[/tex]

[tex]x=\dfrac{11}{2}[/tex]

Hence the first number is [tex]\frac{11}{2}[/tex] and the second number is [tex]-\frac{5}{4}[/tex].

For more details on solving linear equation in two variables follow the link:

https://brainly.com/question/10270150

Answer:

2089

Step-by-step explanation:

Answer:

x = 90

y = 60

Step-by-step explanation:

Let x = student

Let y = non-student

x + y = 150

4x + 8y = 840 <—— Use elimination/addition ethos for both equations

8 (x + y = 150)

-1 (4x + 8y = 840) <—— Let’s eliminate y

8x + 8y = 1200

+ -4x - 8y = -840

—————————————

4x = 360

x = 90

x + y = 150 <— substitute for x from above

90 + y = 150

- 90 = - 90 <— subtract from both sides

y = 60

Answer:

5a - 30

Step-by-step explanation:

Answer:

5a - 30

Step-by-step explanation:

Distributive property: a(b + c) = a*b + a*c

5(a - 6)= a * 5 - 6*5

          = 5a - 30

Answer:

0.6 inch

Step-by-step explanation:

The volume of a sphere is calculated through the equation,

                           V = 4πr³/3

Which means that the radius is calculated by the equation,

                                (3V/4π)^(1/3) = r

Substituting,

           Sphere A,       (3x30/4π)^(1/3) = r = 1.927 in

           Sphere B,        (3x10/4π)^(1/3) = r = 1.336 in

When we subtract the radius, we get an answer of 0.59 inch. Therefore, the answer to this item is approximately 0.6 inch.

Answer:

m= -5/2

Step-by-step explanation:

formula for slope(m) : ΔY/ΔX (change in y coordinates - change in x coordinates)

change in y coordinates: 5-(-5) = 10

change in x coordinates: -4-(0) = -4

10/-4 = -5/2= -2.5

Answer:

36.5      i believe.

Step-by-step explanation:

you divide 986 by 27 and it equals 36.5.

hope you get it right!

if this is wrong then you can report me i guess. ='(

Answer:

1.)B 2.)C 3.)D

Step-by-step explanation:

sanaakantulong please give me brainlist

Answer:

The first distance is b. The second distance is c. And the last distance is d.

Step-by-step explanation:

For the first one it is b because she does not stop walking from one place to the other and same with d. But c is different because she did not get to her destination and ran back home so she did not complete the trip.

Answer:

i think its 360.......

Step-by-step explanation:

i hope it helps

Answer:

1)16(x+y) is not equal to 4x+12y, it is equal to 16x+16y

2)2x^2-y+5+3 is not equal

3)3x & 3y

4)15x+15

5)commutative

Answer:

4 square root 5 is the answer

root(20*4)

2 × root(5×4)

4×root(5)

Answer:

Step-by-step explanation:

The graph shows that as more time passes, more boxes are being manufactured. Therefore, the number of boxes relies on the number of hours.

Hope this helps :)

Answer:

no its x = - 4

Step-by-step explanation:

Answer:

It’s A

Step-by-step explanation:

Cuz it’s just the numbers are replaced in different places but when u multiply u get the same ans ig

Step-by-step explanation:

Since angle 1 is on a straight line and we know that angle 4 is 160, and a straight line has a sum of 180 degrees, simply subtract 160 from 180 to get angle 1.

Angle one would be 180-160 = 20

Since the sum of angles in a triangle is 180 and we already know 2 of them, angle 1 is 20 and angle 3 is 30, just add them together and then subtract that from 180. 20 + 30 = 50, and 180 - 50 = 130.

So in conclusion:

Angle 1 is: 20

Angle 2 is: 130

Answer:

3

Step-by-step explanation:

Answer:

2) (see image below)

3) x = 8  

   side(s) = 74

4) x = 10

   EF = DE = 67

   base = 31

Step-by-step explanation:

For No. 2, if you draw out two triangles with the corresponding angles, you can make it a lot easier. See the image below:

For No. 3, it is given that it's an equilateral triangle, meaning all sides and angles are congruent. So:

12x – 22 = 10x – 6 = 7x + 18

Instead of using all three at once, you can use any two. I'll be using:

12x – 22 = 10x – 6

2x = 16

x = 8

Plugging x in, we can get all the sides, because this is an equilateral triangle:

12x – 22

12(8) – 22

96 – 22

74

For No. 4, it is given that the triangle is an isosceles triangle where DE ≅ EF, so:

8x – 13 = 5x + 17

3x = 30

x = 10

Plugging in x for one of the congruent sides and the base, you can get your needed side length values:

8x – 13

8(10) – 13

80 – 13

67

x + 21

10 + 21

31

Answer:

10

Step-by-step explanation:

Answer:

Your prediction would be eight 4's

Step-by-step explanation: I just solved it!

Answer:

$7.50

Step-by-step explanation:

formula for simple interest:

I = prt

I = ($125)(0.03)(2)

I = $7.50

Answer:

You time 125 by 1.03 twice subtract 125 from that awnser to get the amount of money from interest 7.6125 is the awnser

Step-by-step explanation:

Answer: z 1/2

Step-by-step

:) 100%

Answer:

4/1

Step-by-step explanation:

The slope of the line is y/x or rise/run. The line increases in height (y) by 4, while it only travels (x) 1. The line travels 4y in the time it takes to travel 1x. 4/1 (or just 4)

Answer:

1. "5 times as" means multiply by 5.

Jenny = x * 5

2. "10 dollars more" means add 10

Brandon = x + 10

Answer:

54wy35syrdhtrd

Step-by-step explanation:

oy86t4s2r4ssuc78t87y8ma769798bowss668768

Answer:

bc= 6

Step-by-step explanation:

since the triangles are similar, the sides are in a ratio

xz/ac = 20/4 (5:1)

yx/ba = 15/3 (5:1)

yz/bc = 5:1 = 30/6

Answer:

Step-by-step explanation:

Amount paid for first 100 watches = (65% of 80) *100

                                                        [tex]=\frac{65}{100}*80*100\\\\= 65*80\\= 5200[/tex]

Amount paid for next 50 watches = (55% of 80) * 50

                                                        [tex]= \frac{55}{100}*80*50\\\\= 55 * 8 * 5\\\\= 2200[/tex]

Remaining watches = 280 -(100+ 55)

                                 = 280 - 155 = 125

Amount paid for 125 watches = (45% of 80) *125

                                                  [tex]= \frac{45}{100}*80*125\\\\= 45 * 20 * 5\\\\= 4500[/tex]

Amount received by the watch maker = 5200 + 2200 + 4500

                                                               = £ 11900

Answer:

T= 6

Step-by-step explanation:

T-5=1

find T

+5 to both sides

T= 6

Answer:

no

Step-by-step explanation:

Answer:

LG=LE=LF since it is the centroid. So I think it would also be 9.