Graphing Linear Equations

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▹ Answer

This is proportional.

▹ Step-by-Step Explanation

[tex]\frac{12}{6} \\\\Divide each side by 3:\\\\12/3 = 4\\\\6/3 = 2\\\\= \frac{4}{2}[/tex]

Hope this helps!

CloutAnswers ❁

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Answer: yes

Step-by-step explanation: A proportion is a pair of equal ratios. So when we’re asked to determine whether two ratios form a proportion, what we’re really being asked to do is determine whether the two ratios are equal because i the ratios are equal, then we know they form a proportion.

So in this problem, we need to determine whether 12/6 = 4/2.

The easiest way to determine whether 12/6 = 4/2 is to use cross-products.

If the cross-products are equal, then the ratios are equal.

The cross products for these two ratios are (12)(2) and (6)(4).

Are these products equal?

Well (12)(2) is 24 and (6)(4) is 24.

Since 24 = 24, we can see that the cross-products are equal which means that the ratios are equal and since the ratios are equal, we know that they form a proportion. So the answer is yes, 12/6 and 4/2 form a proportion.

Answer:

Find an integer k for which the roots of the equation will be rational and unequal. To find a value of k that makes the roots rational and unequal the discriminant must be greater than 0 and a perfect square.

Step-by-step explanation:

So if k=0 or k=5 the roots will be rational and unequal.  hope this helps you :)

Answer:

y * ( 6*5)

Step-by-step explanation:

(y x 6) x 5

We can change the order of multiplication by changing where the parentheses are placed using the associative property

y * ( 6*5)

Answer:

The answer will be Y*(6*5)

Step-by-step explanation:

this is the answer because while doing the associative property you switch the parenthesis to the different numbers or the other side in this case were 6 and 5

Answer:

£600

Step-by-step explanation:

1 months= 30 days

here,

money made in 1 day= £20

now,

money made in 30 days= 20×30

= 600

[:• In one month you earn £600]

Answer:560 pounds

Step-by-step explanation:

If 1 day is equal to 20 pounds, to find how much pounds will you have a month, first check how many days are there in a month. Then multiply the number of days in a month to the given pound in one day.

So =1 month = 28 days

=1 day = 20 pounds

So= 20 pounds × 28 = 560 pounds

Answer:

2 Pi

Step-by-step explanation:

Notice that the shape is made of:

● 1 square with a side of 1 meter length

● 4 half-circles wich means 2 cicles with a diameter lf 1 meter.

■■■■■■■■■■■■■■■■■■■■■■■■■■

The square is inside so it isn't necessary to calculate the perimeter.

The perimeter of a circle is:

P' = d × Pi

We have 4 half-squares wich means two circles

So the total perimeter is:

● P = 2×P'

● P = 2 × d × Pi

● P = 2 × 1 × Pi

● P = 2Pi

Answer:

Kindly check explanation

Step-by-step explanation:

Given the details :

Kofi is older than kweku

kofi's age = (5x-4) years

kweku's age = (2x+1) years

a. write down an expression, interns of x,for how much old is Kofi than kweku

Equate the ages of Kofi and kweku

(5x - 4) = (2x + 1)

5x - 4 = 2x + 1

5x - 2x = 1 + 4

3x = 5

3x - 5

B.) if Kofi is tens years older than kweku, find the value of x and the ages of Kofi and kweku

Then,

(5x-4) = (2x + 1) + 10

5x - 4 = 2x + 1 + 10

5x - 2x = 1 + 10 + 4

3x = 15

x = 5

Kofi's age : 5x - 4

5(5) - 4 = 25 - 4 = 21 years

Kweku's age : (2x + 1)

2(5) + 1 = 10 + 1 = 11 years

Answer:

Step-by-step explanation:

Amount charges by plumber =  £ 167.00

Call out fee = £ 18.50

Charge excluding the call out fee = 167 - 18.50 = £ 148.50

Total hours worked = 9 hours

Charge per hour = charge excluding the call out fee ÷ total hours

                           = 148.50 ÷ 9

                          = £ 16.50

Answer:

y = 1.48 or y = - 0.193 to 3 s f.

Step-by-step explanation:

By comparing the 2 equations term by term we see that x = 1/y

So 1/y =  0.676

giving y = 1 / 0.676

= 1.48 to 3 s f.

an

1/y = -5.18

y = - 0.193 to 3 s f.

Answer:

Step-by-step explanation:

[tex]Volume = 392.5\\r = 5\\h =?\\\\V= \frac{1}{3} \pi r^2 h\\\\392.5 = \frac{1}{3} \times 3.14 \times 5^2 \times h\\\\392.5 = \frac{78.5h}{3} \\\\392.5 = 26.16h\\\\\frac{392.5}{26.16} =\frac{26.16h}{26.16} \\\\h = 15.00[/tex]

Answer:

h=15 in

Step-by-step explanation:

V=πr²(h/3)

h=3v/πr²

h=[3(392.5)]/[3.14(5)²]

h= 15 in

Answer:

Congruent Complements Theorem If 2 angles are complementary to the same angle, then they are congruent to each other.

HOPE THIS HELPS

MARK IT BRAINLIEST!!!!

Answer:

5

Step-by-step explanation:

Let be blank be a

-4=a-9

-4+9=a

9-4=a

a=5

Proof:

-4=a-9

-4=5-9

-4=-4

Hope this helps ;) ❤❤❤

The value of BLANK in the given expression is 5.

To solve the equation "-4 = BLANK - 9",

Isolate the variable on one side of the equation.

To do this, we can add 9 to both sides of the equation:

-4 + 9 = BLANK - 9 + 9

This simplifies to:

5 = BLANK

So the value of BLANK is 5.

To solve the equation "-4 = BLANK - 9",

We can add 9 to both sides of the equation to isolate the variable.

This gives us the solution of BLANK = 5.

To learn more about equations visit:

https://brainly.com/question/29174899

#SPJ2

Answer:

[tex]\large \boxed{{r=\frac{1}{9}}}[/tex]

Step-by-step explanation:

x and y are proportional.

[tex]y=rx[/tex]

Let x = 45 and y = 5.

[tex]5=r(45)[/tex]

Solve for r (constant of proportionality).

Divide both sides by 45.

[tex]\displaystyle \frac{5}{45} =r[/tex]

Simplify and switch sides.

[tex]\displaystyle r=\frac{1}{9}[/tex]

Answer:

  c)  x/h

Step-by-step explanation:

The rate of filling is 1 tank per h hours, or 1/h tanks per hour. Then in x hours, the amount of filling will be ...

  (x hours)(1/h tanks/hour) = x/h tanks

The part of the tank filled in x hours is x/h.

Answer:

101

Step-by-step explanation:

Given the following :

Number of soldiers = 10201

They are queued such that the number of queues = number of soldiers in each queue

Let number of queues = q

Therefore, if number of queues equals number of soldiers per Q,

Then ;

q × q = 10201

q^2 = 10201

Take the square root of both sides

q = √10201

q = 101

Number of soldiers per queues = 101

Answer:

Height= 4.5 Volume= 91.125

Step-by-step explanation:

Step 1:

62cm - (25*2)=12cm

62-25=37cm

Length for both sides 25

Width=37cm=x

Answer:

h = (x - 8)/5

Step-by-step explanation:

Step 1: Write out expression

x = 5h + 8

Step 2: Isolate variable h (Subtract 8 on both sides)

x - 8 = 5h

Step 3: Isolate h (Divide both sides by 5)

(x - 8)/5 = h

Step 4: Rewrite

h = (x - 8)/5

Answer:

98.1km²

Step-by-step explanation:

The name of the Triangle in this question is: WXV

In the question, we have:

Angle W = ? Unknown

Angle X = 119°

Angle V = 34°

Side w =?

Side x = 26km

Side v = ?

Step 1

We have to find the missing third angle = Angle W

Sum of angles in a triangle = 180°

= Angle W = 180° - (119 + 34)°

= 180° - 153°

Angle W = 27°

Step 2

Find the sides w and v using the sine rule

Sine rule =

a/ sin A = b/ Sin B

Hence for triangle WXV

w/ sin W = x/ sin X = v/ sin V

We have the following values

Angle W = 27°

Angle X = 119°

Angle V = 34°

We are given side x = 26km

a) Finding side w

w/ sin W= x/ sin X

w/sin 27 = 26/sin 119

Cross Multiply

sin 27 × 26 = w × sin 119

w = sin 27 × 26/sin 119

w = 13.49587km

w = 13.5km

b) Finding side v

x / sin X= v/ sin V

26/ sin 119 = v/sin 34

Cross Multiply

sin 119 × v = 26 × sin 34

v = sin 34 × 26/sin 119

v = 16.62324km

v = 16.62km

Step 3

Detemine the area of triangle WXV

We make use heron formula

= √s(s - w) (s - x) (s - v)

Where s = w + x + v/ 2

s = (13.5 + 26 + 16.62)/2

s = 56.12/2

s = 28.06

Area of the triangle = √28.06× (28.06 - 13.5) × (28.06 - 26 ) × (28.06 - 16.62)

Area of the triangle = √9628.137559

Area of the triangle = 98.123073530337km²

Approximately to the nearest tenth =98.1km²

1. -11     2.-3

Make sure to simplify the equation..

example: 3(2x - 7) = 6x - 21

because 3 x 2 = 6 and 3 x 7 = 21

Answer:

(x + 1)^2 = 1/4

Step-by-step explanation:

Here, we want to rewrite the equation by completing the square.

The equation to rewrite is;

4x^2 + 8x + 3 = 0

4x^2 + 8x = -3

divide through by the coefficient of x^2 which is 4

That will give ;

x^2 + 2x = -3/4

Now divide the coefficient of x by 2, square it and add to both sides of the equation.

We have;

x^2 + 2x + 1^2 = -3/4 + 1^2

x^2 + 2x + 1 = -3/4 + 1

x^2 + 2x + 1 = 1/4

= (x + 1)^2 = 1/4

Answer:

Area of the shaded region= 82.2 cm²

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

10 hours for the month

Step-by-step explanation:

What you know: The total amount Jorge was charged for the month was $25

The base rate is $15

He gets charged $1 per each hour

Setting it up:

15+1h=25

(the 15 is the base rate, plus the 1 dollar per hour (h) which both add to the total of 25 dollars for the month)

Subtract 15 from both sides of the equation to get your variable by itself

1h=10

then divide the 1 on both sides to get h (hours) by itself

h=10

And there's your answer, 10 is the number of hours that Jorge was charged for the month

Hopefully this helped :))

Answer:

10

Step-by-step explanation:

$25 - $15 = $10

and its $1 per hour so the answer is 10hrs

Answer:

The order from least to greatest is B, A, C

Step-by-step explanation:

Given

Recipe A = 3 bananas to 12 Muffins

Recipe B = 5 bananas to 24 Muffins

Recipe C = 11 bananas to 48 Muffins

Required

Order the recipe from least to greatest

To solve this, we have to divide the number of bananas by number of muffins; this will give the unit banana per muffin

Recipe A: 3 bananas to 12 Muffins

[tex]A = \frac{3}{12}[/tex]

[tex]A = 0.25[/tex]

Recipe B: 5 bananas to 24 Muffins

[tex]B = \frac{5}{24}[/tex]

[tex]B = 0.2083[/tex]

Recipe C: 11 bananas to 48 Muffins

[tex]C = \frac{11}{48}[/tex]

[tex]C = 0.229167[/tex]

By comparison;

Recipe B (0.2083) is the smallest; followed by Recipe C (0.229167) then Recipe A (0.25)

Hence; the order from least to greatest is B, A, C

Answer:

its BCA

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]P_{ABCD}=P_{ACD}+P_{ABD}[/tex]

We can use Heron's formula to calculate area of triangles:

[tex]P_\triangle=\sqrt{s(s-a)(s-b)(s-c)}[/tex]   where:

a, b, c  - sides of triangle

s  - semi-perimetr of triangle  {(a+b+c):2}

ΔACD:

a = 4.39 ,   b = 3.42  ,  c = 4.57

s = (4.39 + 3.42 + 4.57)÷2 = 12.38÷2 = 6.19

[tex]P_{ACD}=\sqrt{6.19(6.19-4.39)(6.19-3.42)(6.19-4.57)}\\\\P_{ACD}=\sqrt{6.19\cdot1.8\cdot2.77\cdot1.62}=\sqrt{49.9986108}=7.070969579...\\\\P_{ACD}\approx7.071[/tex]

ΔACD:

a = 5.44 ,   b = 7.84 ,   c = 3.42

s = (5.44 + 7.84 + 3.42)÷2 = 16.7÷2 = [tex]P_{ACD}=\sqrt{8.35(8.35-5.44)(8.35-7.84)(8.35-3.42)}\\\\P_{ACD}=\sqrt{8.35\cdot2.91\cdot0.51\cdot4,93}=\sqrt{61.09371855}=7.81624708...\\\\P_{ACD}\approx7.816[/tex]

[tex]P_{ABCD}=P_{ACD}+P_{ABD}\\\\P_{ABCD}\approx7.071+7.816 = 14.887\\\\P_{ABCD}\approx 14.89[/tex]

Answer:

2x - 10 = 44 + 8x

7x - 4 = 20 =3x

2(x-3) = -20

15 - 4x + 5 = 32

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2*x-10-(44+8*x)=0

Pull out like factors :

  -6x - 54  =   -6 • (x + 9)

  -6   =  0

 Solve  :    x+9 = 0

Subtract  9  from both sides of the equation :

                     x = -9

x = -9

Move all terms containing

x

to the left side of the equation.

4

x

−

4

=

20

Move all terms not containing

x

to the right side of the equation.

4

x

=

24

divide each term by 4

x = 6

2(x−3)=−20

Step 1: Simplify both sides of the equation.

2(x−3)=−20

2x−6=−20

Step 2: Add 6 to both sides.

2x−6+6=−20+6

2x=−14

Step 3: Divide both sides by 2.

2x

2

=

−14

2

x=−7

−4x+20=32

Step 2: Subtract 20 from both sides.

−4x+20−20=32−20

−4x=12

Step 3: Divide both sides by -4.

−4x

−4

=

12

−4

x=−3

Answer:

1:55 pm

Step-by-step explanation:

So, you arrive at 4: 15 pm in Orlando after a 2 hr and 20 minute flight from Houston.  So, lets start with the easy part: let's subtract the 2 hrs part.  

2 hrs earlier from 4:15 pm is 2:15 pm.

Then, you have to subtract the 20 minutes.  Well, it's quite obvious that if you left at 2:00 pm, that would be a total of 2 hrs and 15 minutes.  Just subtract the 15 minutes from the 2:15 pm.  However, it's 20 minutes, not 15, so you have to still subtract that last five minutes.  

So, 2:00 pm minus 5 minutes would equal 1:55 pm.

Answer:

Reflection

Step-by-step explanation:

A reflection is a mirrored image of a shape.  Notice how DEC seems to be a "flipped" version of ABC, hence a mirrored image.

Cheers.

Answer:

Rs 400

Step-by-step explanation:

Let us assume that the cost price of the article = x

Selling price = S.P

Cost price = C.P

Loss = %Loss × C.P(percentage loss × Cost Price)

S.P = C.P - Loss

In the question, Loss = 20%

S.P = x - 20x/100

Find the Lowest Common Multiple

S.P= 100x - 20x/100

S.P = 80x/100.........Equation 1

In the question, we are told if the article was sold for RS 160 more, it would have made a profit of 20%

Profit = %profit × C.P(percentage profit × Cost Price)

S.P = C.P + Profit

In the question, profit = 20%

S.P = x + 20x/100

Find the Lowest Common Multiple

S.P= 100x + 20x/100

S.P = 120x/100.........Equation 2

Hence,

Equation 2 - Equation 1 = Rs 160

= 120x/100 - 80x/100 = 160

= 40x/100 = 160

Cross multiply

40x = 100 × 160

40x = 16000

x = 16000/40

x = Rs 400

Since x = Cost price, the cost price of the table = Rs 400

Answer:

[tex] 23x - 10 [/tex]

Step-by-step explanation:

To the find the equivalent of [tex] 9(2x - 3) + 5x + 17 [/tex], evaluate the expression. Start by opening the bracket.

[tex] 9*2x - 9*3 + 5x + 17 [/tex]

[tex] 18x - 27 + 5x + 17 [/tex]

Pair like terms

[tex] 18x + 5x - 27 + 17 [/tex]

[tex] 23x - 10 [/tex]

The equivalent of [tex] 9(2x - 3) + 5x + 17 [/tex] is [tex] 23x - 10 [/tex]

Step-by-step explanation:

Since it's a direct variation

y = kx

where k is the constant of proportionality

To find the value of y when x = –0.5 we must first find the relationship between the variables

When

x = 3

y = 2

2 = 3k

Divide both sides by 3

[tex]k = \frac{3}{2} [/tex]

So the formula for the variation is

When x = - 0.5 or - 1/2

[tex]y = \frac{3}{2} ( - \frac{1}{2} )[/tex]

We have the final answer as

Hope this helps you