Is (1, 2) a solution of the system y>2x and x+y<3?

Answer:

x = 59/7, y = -15/7

Step-by-step explanation:

4x= 2y + 38;

2 - 3y=x

We can substitute for x  in the first equation since the second equation is solved for x

4(2-3y) = 2y+38

Distribute

8 - 12y = 2y+38

Add 12y to each side

8-12y+12y = 2y+12y+38

8 = 14y+38

Subtract 38 from each side

-30 = 14y

Divide by 14

-30/14 = y

-15/7 = y

Now solve for x

2 - 3y = x

2 - 3*-15/7 = x

2 +45/7 = x

14/7 + 45/7 = x

59/7 =x

Answer:

[tex]Total = 7\frac{1}{2} cups[/tex]

Step-by-step explanation:

Given

Initially, he drank 3 pints of water

Then, [tex]1\frac{1}{2}[/tex] more cups

Required

How many cups did Ian drink altogether

This question can be solved by adding the size of water he drank during the hike and when he got home

i.e.

[tex]Total = 3\ pints + 1\frac{1}{2} cups[/tex]

But the answer should be in cups;

So, number of pints has to be converted to number cups

Given that 1 pint = 2 cups;

3 pints will be 3 * 2 cups

3 pints = 6 cups;

So,

[tex]Total = 3\ pints + 1\frac{1}{2} cups[/tex]

[tex]Total = 6\ cups + 1\frac{1}{2} cups[/tex]

[tex]Total = 7\frac{1}{2} cups[/tex]

Altogether, he drank [tex]7\frac{1}{2} cups[/tex] of water

Answer:

5.125 = [tex]5\frac{125}{1000}[/tex] = [tex]5\frac{1}{8}[/tex]

Step-by-step explanation:

=> 5.125

Changing this into fraction form:

=> [tex]5\frac{125}{1000}[/tex]

In simplified form:

=> [tex]5\frac{1}{8}[/tex]

Answer:

Ray KM is an angle bisector of [tex]\angle NKL[/tex].

Step-by-step explanation:

Given that there are 4 lines that are extended from a point K.

Angle between KJ and KN is [tex]58^\circ[/tex] i.e. [tex]\angle JKN =[/tex] [tex]58^\circ[/tex]

Angle between KN and KM is [tex]61^\circ[/tex] i.e.  [tex]\angle NKM =[/tex] [tex]61^\circ[/tex].

Angle between KM and KL is [tex]61^\circ[/tex] i.e.  [tex]\angle MKL =[/tex] [tex]61^\circ[/tex]

Please refer to the attached image for the conditions and dimensions of angles given in the question statement.

Now, let us have a look at the options given:

1. Point K is a midpoint of Line segment JL

JL is not a straight line first of all, and secondly there is no condition given about the line segments.

So, it is incorrect.

2. [tex]m \angle JKN = \dfrac{1}{2}m \angle JKM[/tex]

[tex]\angle JKN =[/tex] [tex]58^\circ[/tex] and

[tex]m \angle JKM =58+61=139^\circ\\\Rightarrow \dfrac{1}{2} m \angle JKM = 64.5^\circ[/tex]

So, it is also incorrect.

3. Ray KM is an angle bisector of [tex]\angle NKL[/tex].

Ray KM divides the [tex]\angle NKL[/tex] into two equal angles [tex]\angle NKM =[/tex] [tex]61^\circ[/tex] and [tex]\angle MKL =[/tex] [tex]61^\circ[/tex] so it is correct.

Answer:

$0.40 per oz

Step-by-step explanation:

given that the cereal is $3.60 for a 9 oz box

i.e

9 oz ----> costs $3.60

1 oz ----> costs $3.60 ÷ 9 = $0.40

hence the unit rate is $0.40 per oz

Answer:

0.40 per ounce

Step-by-step explanation:

The question asks is to find the unit rate, or price per ounce.

To find this, we need to divide the price by the number of ounces.

price/ ounces

It costs $3.60 for 9 ounces of cereal.

$3.60/9 ounces

Divide $3.60 by 9 (3.60/9=0.4)

$0.4/ounce

It costs $0.40 per ounce of cereal.

hope its helpful to uh...

Answer:

Brianliest!

Step-by-step explanation:

It could be found if you were given the rate

since there is no rate, the question should be answered that there is not enough information

Answer: Option B.

Step-by-step explanation:

The price per ounce can be calculated as the amount of you paid divided the number of ounces that you get.

A) we have a table:

ounces          price

18                     $1.5

36                    $3.00

54                    $4.5

We can see that here we have a linear relationship. for example, the price for 18 ounces is $1.5

Then the price per ounce is:

p = $1.5/18 = $0.083

B) here we know that 15 oz cost $0.75, the price per ounce is:

p = $0.75/15 = $0.05

C) here we have 11 ounces, and the price is $2.20

then we have:

p = $2.2/11 = $0.2

Then we can conclude that the least expensive is option B.

Answer:b

Step-by-step explanation:

did it on khan

Hey there! :)

Answer:

1,500,000.

Step-by-step explanation:

Convert to standard notation by first deriving the value of 10 to the exponent given:

[tex]10^{6} = 1,000,000[/tex] (6 zeros)

Multiply:

1.5 × 1,000,000 = 1,500,000

Answer:

this question is roung

Answer:

[tex]x = 6[/tex]

Step-by-step explanation:

Given

[tex]2y-x=-6[/tex]

Required

Determine the x intercept

To get the value of x intercept; we simply substitute 0 for y;

i.e. y = 0

[tex]2y-x=-6[/tex] becomes

[tex]2(0)-x=-6[/tex]

[tex]0-x=-6[/tex]

[tex]-x=-6[/tex]

Multiply both sides by -1

[tex]-1 * -x=-6 * -1[/tex]

[tex]x=-6 * -1[/tex]

[tex]x = 6[/tex]

Hence, the x intercept is 6

Answer:

976cm^2

Step-by-step explanation:

Surface area:

Ara of cross section x 2 = 1/2 x 2 x 14 x 24 = 14 x 24 = 336

Area of base = 14 x 10 = 140

area of slope x 2 = 25 x 10 x 2 = 500

Total surface area = 500+140+336 = 640 + 336 = 973cm^2

Answer:

976 cm^2

Step-by-step explanation:

Area of triangle: 1/2bh

Area of rectangle b×h

2 Triangular ends 12×14=168 each So 336

2 sides 10×25=250 each So 500

1 base 10×14=140

Add: 140+500+336=976 square centimeters

Answer:

4382 to 1 sf is [tex]4 * 10^3[/tex]

Since powers are not counted in significant figures so this is the answer.

Hope it helps you :D

9514 1404 393

Answer:

  y -3 = -2(x +4)

Step-by-step explanation:

The slope of the given line is ...

  m = (y2 -y1)/(x2 -x1)

  m = (1 -(-3))/(4 -(-4)) = 4/8 = 1/2

The perpendicular line will have slope -1/(1/2) = -2.

__

The point-slope equation of the line with slope m through point (h, k) is ...

  y -k = m(x -h)

For point (-4, 3) and slope -2, the equation is ...

  y -3 = -2(x +4)

Answer:

62mph

Step-by-step explanation:

Answer: 250 miles

Step-by-step explanation:

100 kph = 62.5 mph

In 4 hours, the car will travel

62.5 x 4 = 250 miles

Answer:

x+y=7

y= x+3

Step-by-step explanation:

i just took the test

The system of the equation that represents the given condition will be x + y = 7 and y = x + 3. And the solution is (2, 5).

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The sum of x and y is 7. The value of y is three more than the value of x. Then the equation is given as,

x + y = 7                ...1

y = x + 3               ...2

From equations 1 and 2, then we have

x + x + 3 = 7

2x = 4

x = 2

Then the value of the variable 'y' will be given as,

y = 2 + 3

y = 5

The system of the equation that represents the given condition will be x + y = 7 and y = x + 3. And the solution is (2, 5).

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Answer:

3600.

Step-by-step explanation:

8 =   2*2*2

12=   2*3

18=   2*3*3

30 =  2*3*5

The lowest common multiple of the these is

2 * 2 * 2 * 3*3* 5 = 360.

So the smallest square number = 2*2*2*2*3*3*5*5

(We make all the sets of factors a square).

So it's 16 * 9 * 25 = 3600.

Answer:

3600

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

BC ≅ EF

BC needs to be congruent to EF to show that ΔABC ≅ ΔDEF by SAS(Side -Angle-Side) Postulate.

Answer:

2 and 30

Step-by-step explanation:

2/3=20/30

2 and 30 means the extremes and 3 and 20 are the means

Answer:

B. points C, F and G

Step-by-step explanation:

B. Points G C F

Answer:given below

Step-by-step explanation:

sqrt x^2 +81= x + 10

x^2 + 81 = (x+10)^2

x^2 + 81 = x^2 + 20x + 100

so answer is:  

x^2 + 81 = x^2 +20x + 100

..HOPE IT HELPS YOU...ALL THE BEST

Answer:

The answer is D on egdge2020

Answer:

(22/7)/6=0.523809

Step-by-step explanation:

V=4/3πr^3

V=4/3π(1/2)^3=π/6

or (22/7)/6=0.523809

Answer:

11/8 or, 1 and 3/8

Step-by-step explanation:

First, we have to make both the denominators the same. In this case, we can multiply 3/4 by 2, to make 4, the denominator, into 8. What we do to the denominator, we must do to the numerator! So, we multiply 3 by 2, and get 6!

Now we have, 5/8 + 6/8, which equals 11/8! Which can also be simplified to 1 and 3/8 (because the numerator is larger than the denominator)

Hope this helps! :)

Answer:

r = 8

Step-by-step explanation:

15 = 1.5r+3

Subtract both sides of the equation by 3.

15-3 = 1.5r+3-3

12 = 1.5r

Divide both sides of the equation by 1.5.

12/1.5=1.5r/1.5

8 = r

r = 8

Answer:

[tex]8[/tex]

[tex]1.5r + 3 = 15 \\ 1.5r = 15 - 3 \\ 1.5r = 12 \\ r = \frac{12}{1.5} \\ r = \frac{120}{15} \\ r = 8[/tex]

Answer:

B.

Step-by-step explanation:

A =  C = 40°

40+40+ 4x = 180

4x = 100

x = 25°

Answer: she is 215m from her starting point

Step-by-step explanation:

The diagram representing the situation is shown in the attached photo. Triangle ABC is formed with AC representing her distance from her starting point.

Angle B = 28 + 90 = 118°

To determine AC, we would apply the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and B is the angle corresponding to b(AC). Likening the expression to the given triangle, it becomes

AC² = AB² + BC² - 2(AB × BC)CosAC

AC² = 60² + 180² - 2(60 × 180)Cos118

AC² = 3600 + 32400 - 21600Cos118

AC² = 36000 - 21600(-0.46947156)

AC² = 36000 + 10140.59

AC² = 46140.59

AC = √46140.59

AC = 215 m