What is the solution to follow system of equations?

x-3y=7
2x-6y=12

Answer:

a) 22.6

b) 23

Step-by-step explanation:

a)

Step 1: 18 + 9 + 7 + 35 + 30 + 21 + 33 + 12 + 30 + 31 = 226

Step 2: 226/10 = 22.6

b)

Step 1: 226+27 = 253

Step 2: 253/11 = 23

Answer:

the answer should be 98

Step-by-step explanation:

try it

Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1

Given:

A  merchant bought 12 boxes of eggs containing 10 eggs each at the rate of Rs 50 per box.

He spent Rs 40 on transportation.

He sold the eggs at rs 12 per pair.

To find:

The gain or loss percentage.

Solution:

The cost of 1 box of eggs is Rs. 50. So, the cost of 12 boxes of eggs is:

[tex]12\times 50=600[/tex]

Number of eggs in 12 boxes is:

[tex]12\times 10=120[/tex]

He spent Rs 40 on transportation. So, total cost of 12 boxes of eggs is:

[tex]600+40=640[/tex]

Cost of each egg is:

[tex]\dfrac{640}{120}=\dfrac{16}{3}[/tex]

He sold the eggs at Rs 12 per pair. It means the selling price of two eggs is Rs 12. So, the selling price of each egg is:

[tex]\dfrac{12}{2}=6[/tex]

We need to find the gain or loss percentage.

Since [tex]\dfrac{16}{3}<6[/tex] it means the selling price is greater than the cost price, therefore it is gain.

The gain percent is:

[tex]Gain\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

[tex]Gain\%=\dfrac{6-\dfrac{16}{3}}{\dfrac{16}{3}}\times 100[/tex]

[tex]Gain\%=\dfrac{\dfrac{18-16}{3}}{\dfrac{16}{3}}\times 100[/tex]

[tex]Gain\%=\dfrac{2}{16}\times 100[/tex]

[tex]Gain\%=12.5\%[/tex]

Therefore, the gain percent is 12.5%.

Answer:

B or C

Step-by-step explanation:

Now this one is very very confusing for me but i'm leaning more to B, if someone else gets a different answer though i would listen to them, but it's one of those two but i think its B.

Answer:

Third side lies between 10 & 22.

Step-by-step explanation:

Any side of triangle is greater than difference of two sides. Sum of two sides of triangle is always greater than third side.

So, letting third size be = x

Difference of two sides < Third side x < Sum of two sides

Difference of two sides = 16 - 6 = 10 , Sum of two sides = 16 + 6 = 22

Hence, 10 < Third side x < 22

Answer:

PE = 51.45 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8m/s^2)(0.75 m)

= 51.45 Joules

Answer:5 or 5 degrees

Step-by-step explanation:

the box means 90 degree so if you divide 45 with 90 you get 2

2 divided by 10 = 5

Answer:

x = y = 10

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x × [tex]\sqrt{2}[/tex] = 10[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

x = 10

Since the base angles are 45° then the triangle is isosceles and the 2 legs are congruent, then

x = y = 10

Answer:

1. 93 m is the length of the rectangular garden.

2. The width of the window is 72 cm.

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

complementary angle meaning it needs to have the whole sum of 90 degree.

90-37=53

Answer:

Yes, it makes a triangle.

Step-by-step explanation:

When I used a measuring stick, it does create a triangle.  

Answer:52.1

Step-by-step explanation:

adj/hyp= x/57

cos 24=x/57

57 cos 24=x

x=52.0721= 52.1 FT

Answer:

The measure of the side [tex]QR[/tex] is 8.8.

Step-by-step explanation:

Since [tex]LMNO \sim PQRS[/tex], then [tex]SP \propto OL[/tex], [tex]RS \propto ON[/tex], [tex]RQ \propto MN[/tex] and [tex]QP \propto LM[/tex]. From figure we have the following relationship:

[tex]k = \frac{OL}{SP} = \frac{ON}{RS} = \frac{MN}{QR} = \frac{ML}{QP}[/tex] (1)

Where [tex]k[/tex] is the proportionality ratio.

If we know that [tex]SP = 13, OL = 55, MN = 37[/tex], then the measure of side [tex]QR[/tex] is:

[tex]k = \frac{OL}{SP}[/tex] (1b)

[tex]k = \frac{55}{13}[/tex]

[tex]k = \frac{MN}{QR}[/tex]

[tex]QR = \frac{MN}{k}[/tex] (1c)

[tex]QR = \frac{37}{\frac{55}{13} }[/tex]

[tex]QR = 8.745[/tex]

The measure of the side [tex]QR[/tex] is 8.8.

Answer:

60% of students are boys

Step-by-step explanation:

Okay first subtract 645-258 to get the amount of boys at the school

645-258=387

Now the ratio of boys to girls is

387:258

387/645×100 to get percentage of boys

put that in your calculator and you will get 60%

so there is 60% of middle school boys and

258/645×100 to get the percentage of girls

put it in the calculator and you will get 40%

so 60% boys and 40% girls

60% + 40% = 100%

Answer:

[tex]\displaystyle [-2, -1][/tex]

Step-by-step explanation:

To use the Elimination method, you must get rid of one pair of variables, so that one side is set to zero. So, in this case, we must get rid of [tex]\displaystyle x,[/tex]therefore we will split the second equation in negative half :

[tex]\displaystyle \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}[y = 4x + 7]}} \right. \\ \\ \\ \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}y = -2x - 3\frac{1}{2}}} \right. \\ \\ \frac{1}{2}y = -\frac{1}{2}; -1 = y, -2 = x \\ \\ \\ \boxed{[-2, -1]}[/tex]

I am joyous to assist you at any time.

Answer:

sector GPH = 16π yd²

Step-by-step explanation:

area of full circle = πr² = (π)(12²) = 144π yd²

area of 40° segment = (40/360)(144π) = 16π yd²

Answer:

i would guess

Step-by-step explanation:

Answer:

solution given:

x²=20

x=±√20 is your answer

Answer:

2

Step-by-step explanation:

[tex]x^{2} =20\\x= ± \sqrt{20}[/tex]

Answer:

B) 13

Step-by-step explanation:

Average age means to calculate mean:

Mean = (Sum of all numbers)/(Number of numbers)

Mean = (14 + 14.5 + 12 + 11.5 + 15 + 13 + 10.5 + 13.5)/8

Mean = (104)/8

Mean = 13

Answer:

D = 80 degrees or (76+4) C And F are 70 i think

Step-by-step explanation:

Answer:

Plz subscribe my Gaming channel Sameer Duos

Step-by-step explanation:

The correct answer is whole number

Answer:

$81.6

Step-by-step explanation:

(1,360.00)(6%)=81.6

Answer:

no.of boys is 45

Step-by-step explanation:

here, let the number of boys and girls be 5x and4x

ATQ,

5x=4x+9

or,5x-4x=9

or,x=9

then, the number of boys is 9×5=45

and the number of girls is 9×4=36..

Answer:

B.

Step-by-step explanation:

Perpendicular lines intersect at exactly one point.

(perpendicular lines form an x with right angles)

formula 3.35 times something

Answer A

Step-by-step explanation: 2+2=22-55= -12-5= -7 then take away the negative then look outside and u should see a tree. Your final answer should be s=1/7t

Answer:

no, it is not

if it were a right triangle, 10² + 17² = 18²

but this is not the case

Step-by-step explanation:

we would use Pythagoras theorem to determine if it is a right angle

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² + 17² =

100 + 289 = 389

square root of 389 is 19.72 and not 18. thus, it is not a right triangle

To find a y term, find the absolute value of the x term (|x|).

Absolute value - the distance between 0 and a number. The absolute value of a number will always be equal to the positive form of the number (if it isn't already positive).

Some examples: The absolute value of 18 is 18. The absolute value of -10 is 10.

Find the absolute value of each x term to find y:

x ⇒ y

-2 ⇒ 2

-1 ⇒ 1

0 ⇒ 0 (the absolute value of 0 is always 0)

1 ⇒ 1

2 ⇒ 2

I hope this helps!