Which situation would best be modeled by the direct variation y = kx?

Answer:

$6.37

Step-by-step explanation:

Jane and 3 friends = Jane + another 3 people

= 4 people in total

Total Cost of pizza = $25.48

If 4 people split $25.48 evenly,

Amount each friend has to pay = Total Cost of pizza/Total number of people

= $25.48/4

= $6.37 per friend

Each friend has to pay $6.37 each if $25.48 is splitted evenly amongst them

Step-by-step explanation:

Q3, B

Q4, I'm not too sure about this one but I think its D

Answer:

1.5

Step-by-step explanation:

yaaa

This is the same as 1.5 feet and it is equivalent to the improper fraction 3/2.

============================================================

Explanation:

Let's convert the given mixed numbers into improper fractions.

A = 5 & 1/3 = 5 + 1/3 = 15/3 + 1/3 = (15+1)/3 = 16/3

L = 3 & 5/9 = 3 + 5/9 = 27/9 + 5/9 = (27+5)/9 = 32/9

So the area and length are 16/3 and 32/9 respectively.

-------------------

Let's solve for the width W

area = length*width

A = L*W

16/3 = (32/9)*W

9*(16/3) = 9*(32/9)*W ..... multiplying both sides by 9

48 = 32W

32W = 48

32W/32 = 48/32 ....... dividing both sides by 32

W = 48/32

W = (32+16)/32

W = 32/32 + 16/32

W = 1 + 1/2

W = 1 & 1/2 feet is the width

This is equivalent to 3/2 since 48/32 = 3/2

It's also equivalent to 1.5 because 3/2 = 1.5

Step-by-step explanation:

y = 4x - 7

Comparing the given equation with y = mx + c Then

slope (m) = 4

y -intercept (c) = - 7

Hope it will help :)

Answer: the slope is negative 4

Step-by-step explanation:

because its ez

Answer:

-1

Step-by-step explanation:

[tex]f(-2) = -(-2)^{2} +3[/tex]

          = -4 + 3 = -1

Answer: b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps

Answer:                                                             ummmm... 24%

Step-by-step explanation:

Answer:

1/3 or 0.333 repeat

Step-by-step explanation:

slope or rise over run

Answer:

on 14th day

Step-by-step explanation:

...........

Answer:

I think it is right, yes i think it is.

Step-by-step explanation:

Answer:

E, F, B, and C

Step-by-step explanation:

Im just learning about these kind of things and this is a challenging question not going to lie.

I chose B because expanding and building more factories is apart of economics. You need more land to expand your business, but this will also affect the economy.

C seems like a good answer also because writing about economic trends is an important thing in economics. This also helps others learn out the economy and what not to do and what to do to help make our environment a better place.

I chose E because starting a business is apart of economics. A lot of business are apart of economic systems and help money come into our economy.

F is a good answer for me because the U.S government has been apart of America's economic system for a long time just like they are involved with everything else. The government is a big help and a big part of our economy, especially for america.

Answer:

24m²

Step-by-step explanation:

..,.................

Area = 5*4+2*1+2*1

Area = 20+2+2

Area = 24m²

Answer:

24 m^2

Step-by-step explanation:

We need to study the structure well

We can find the magnitude of the big rectangle. We will need to find the total length and total breadth of the big rectangle

Then we remove the area of the four squared cut out from the big rectangle.

Total length of the rectangle is 5+1+1=7m

Then the length of the breath of the rectangle is 2+1+1=4m

So area of rectangle is given as length × breadth

Area= l×b

Area=7×4=28m²

Area of the big rectangle is 28m²

Then the squared is made of dimension 1m by 1m

Area of a square is s²

Then, a=1m

Area of the square= 1²=1m²

There are four squared side

Then, the total area of the four squared is 4×1=4m²

Then the required area is

Area=Total area - area of four squared side

Area=28m²-4m²

Area =24m²

Area of the figure is 24m²

The correct option is A.

Answer:

D) 42

Step-by-step explanation:

48 x 2= 96

180 - 96 = 84

84/2 = 42

Answer:

1- c 75° 2- B and E

Step-by-step explanation:

1- 180- 30= 150 ÷ 2= 75°

Answer:

y-6 = -6(x-8)

Step-by-step explanation:

Here, we want to get the equation of the line in point-slope form

The point slope form is;

y-y1 = m(x-x1)

(x1,y1) represents the slope

We have this as ;

y-6 = -6(x-8)

Answer: weight of wood part = 3.6 kilogram.

Step-by-step explanation:

Sculpture made of  both metal and wood = 14.4 kilogram

Weight of  metal=3/4 of 14.4 kilogram

which means the weight of metal = 3/4 x 14.4kg= 10.8kg

Since the rest is wood, we can say that

weight of wood = Total weight - weight of metal

= 14.4 kilogram-  10.8 kilogram= 3.6 kilogram

Answer i think 3.6

Step-by-step explanation:

Answer:

There are 37 marbles.

Probability = (# favorable outcomes) / (# total outcomes)

P (r or g) = 25/37

3) 25/37

Step-by-step explanation:

The probability of red or green marbles is 0.676

The given parameters are:

8 red marbles, 12 blue marbles, and 17 green marbles

The number of red or green marbles is:

Red or Green = 8 + 17

Evaluate

Red or Green = 25

The probability of red or green marbles is:

P = 25/(8 + 12 + 17)

Evaluate

P = 0.676

Hence, the probability of red or green marbles is 0.676

Read more aboit probability at:

https://brainly.com/question/251701

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Answer:

10

Step-(by-step explanation:

(9-3)+(1-9)

(6)^2 + (-8)^2

36 + 64

= 100 square root of 100 is 10

hope I helped!!

Answer:

10

Step-by-step explanation:

[tex]\sqrt{(x_{2} -x_{1})^2+ (y_{2} -y_{1})^2}[/tex]

[tex]\sqrt{(9-3)^{2} +(1-9)^2} =10[/tex]

I hope this helps.

Answer:

2 1/4

Step-by-step explanation:

-5 1/4- (-7 1/2)

to minus cancel each other out so it becomes a plus

-5 1/4 + 7 1/2

common dinomanater

-5 1/4 + 7 2/4

2 1/4

Answer:

uh either b or e

the others are slope-intercept

I hope this helps:)

- ♥

Answer:

Step-by-step explanation:

The slope of a line passing through two given points:   [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(1, -5)   ⇒  x₁ = 1  ,   y₁ = -5

(-5, -6)   ⇒  x₂ = -5  ,   y₂ = -6

[tex]m=\dfrac{-6+5}{-5-1}=\dfrac{-1}{-6}=\dfrac16[/tex]

Point-slope form of equation of a line with givem slope m and passing through point (x₁, y₁):   [tex]y-y_1=m(x-x_1)[/tex]

(1, -5)   ⇒  x₁ = 1  ,   y₁ = -5

Therefore:

                [tex]y-(-5)=\frac16(x-1)\\\\\underline{y+5=\frac16(x-1)}[/tex]  

Answer:

b

Step-by-step explanation:

hard to explain right here sorry man

Answer:

formula

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Step-by-step explanation:

choose two point of A, let k(-2, -3) and l(1, 3)

[tex] m = \frac{ - 3 - 3}{ - 2 - 1} = \frac{ - 6}{ - 3} = \frac{1}{2} [/tex]

choose two point of B, let c(0, 5) and d(5, 0)

[tex]m = \frac{5 - 0}{0 - 5} = \frac{5}{ - 5} = - 1[/tex]

Hence the gradient of A is

[tex] \frac{1}{2} [/tex]

and B is -1

Answer:

−5z−21

Step-by-step explanation:

If factored it is :-5z-21

Answer:

-21-5z

Step-by-step explanation:

-1+(-10)+(-10)-5z

-1-10-10-5z

-1-20-5z

-21-5z

Answer:

2³ × 3² × 5

Step-by-step explanation:

360 = 2 × 2 × 2 × 3 × 3 × 5 = 2³ × 3² × 5

Answer:

36

Step-by-step explanation:

30% of 120 is 120 x 0.3

120 x 0.3 =36.

Answer: B i guess

Step-by-step explanation:

The hypotenuse side XY of given right angle at Z is [tex]5\sqrt{2}[/tex].

Given that in triangle XYZ :

∠X=45°

∠Y=45°

XY=5

And right angled at Z, that is, ∠Z=90°.

Since, ∠X=∠Y=45°

Therefore, XZ=YZ=5

Now,

[tex]\sin \theta = \dfrac{hypotenuse}{opposite}[/tex].

Here, θ=45°.

Therefore,

[tex]\sin \theta=\dfrac{5}{XY}\\\\\sin 45\°^=\dfrac{5}{XY}\\\dfrac{1}{\sqrt{2} } =\dfrac{5}{XY}\\\\XY=5\sqrt{2}[/tex]

Thus, the side XY=[tex]5\sqrt{2}[/tex].

Learn  more about Right triangle here:

https://brainly.com/question/33222274

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Answer:

Step-by-step explanation:

The distance from the centre to any point on the circle is called the 'radius'. ... (i) Find the centre and radius of the circle (x-2)2+(y + 5)2 =9. ... Find the equation of the circle which has the line segment from a(-4, 3) to b(2, 1) as diameter. ... b and c. 22. Find the equation of the circle with centre (1, 3) and having the line 3x + 4y ...