Find the slope and y-intercept of the graph of 3y = 6x – 12.
The slope is
and the y-intercept is

Answer:

negative 2.5

Step-by-step explanation:

It is belove sea level, so it will be between negative 2 and negative 3 on a vertical number line.

Answer:551.3212cm³

Step-by-step explanation:

Find the image attached

The volume is made up of a cone, cylinder and a hemisphere

Volume of the shape = Volume of cone + volume of cylinder + volume of hemisphere

Get the volume of the cone;

Volume of a cone Vc = 1/3πr²h

r is the base radius = 3.5cm

Height = 10cm

Vc = 1/3π(3.5)²(6)

Vc = 1/3π(12.25)(6)

Vc = 12.25 * 2π

Vc = 24.5π cm³

Get the volume of the cylinder;

Vcy = πr²h

r = 3.5cm

h = 10cm

Vcy = π(3.5)²(10)

Vcy = π(12.25)(10)

Vcy = π(122.5)

Vcy = 122.5π cm³

Get rhe volume of the hemisphere;

Volume of hemisphere = 2/3 πr³

r = 3.5cm

Vh =  2/3 π(3.5)³

Vh = 2/3π(42.875)

Vh = 28.58π cm³

Volume of the shape = VC + Vcy + Vh

Volume of the shape = 24.5π+122.5π+28.58π

Volume of the shape = 175.58π

Volume of the shape = 551.3212cm³

Answer:

4 flowers

Step-by-step explanation:

First we need to calculate the circumference of the plate.

C = πd

Given

diameter d = 20cm

C = 3.14(20)

C = 62.8 cm

If there is a flower painted every 15.7 centimeters around the edge of the plate, the amount of flower on the plate will be;

Number of flower = Circumference of the plate/length of flower

Amount of flower = 62.8/15.7

Amount of flower = 4

Hence there are 4 flowers painted on the plate

Answer:

4

Step-by-step explanation:

(x+3) x (x+2)

Step-by-step explanation:

it should be *(x+3) x (x+2)* because area of rectangle = length x breadth

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Answer:

  15 days

Step-by-step explanation:

The cost for boarding is $18 each day. The cost for play-time is $6.75 each day. So, the charges for both add up to ...

  $18 +6.75 = $24.75

each day.

The manners lesson is a flat fee added to the daily boarding charges, so for d days, the total bill is ...

  $24.75·d +45.99 = 417.24 . . . . . equation relating days to cost

We solve this 2-step equation by first subtracting the constant on the left.

  $24.75·d = $371.25

Then we divide by the coefficient of the variable:

  d = $371.25/$24.75

  d = 15

Your dog stayed at the kennel 15 days.

Answer:

4x-3=x+2

4x-x=3+2

3x=5

x=5/3

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Answer:

  168

Step-by-step explanation:

Below are shown the 7 different kinds of arrangements that can be made. Each of these can be permuted into 24 different arrangements by assigning colors in a different order than the one used here:

  {1, 2, 3, 4} ⇒ {green, blue, red, yellow}

Then the total number of possible correct colorings is 7·24 = 168.

__

These colorings were found using a computer program that identified all 168 viable colorings, then eliminated permutations. It started by identifying ways to color 2 rows, then adding rows based on that.

_____

You'll notice that the last on the attached list most closely matches the one in the problem statement.

Answer:

Step-by-step explanation:

Answer:

110 degrees

scalene triangle

Step-by-step explanation:

Answer:

m<1 = 110°

obtuse triangle

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180° two of the angles are given as 40 and 30 so the third angle is 110° and since one of the angle's measure is larger than 90° we call this triangle obtuse.

Answer:

I hurried  wat

Step-by-step explanation:

wAT

Answer:

There were 46 customers who ate at the restaurant.

Step-by-step explanation:

First we need to subtract the total by how much the ban was paid to perform.

$142 - $50 = $92

$92 ÷ 46 = $2

Answer:

70 feet

Step-by-step explanation:

A kite is flying 30 feet from a stop sign

The child flying the kite is standing 40 feet from the stop sign

Therefore the length of the string from the child to the kite can be calculated as follows.

= 30 feet + 40 feet

= 70 feet

Answer:

50 feet

Step-by-step explanation:

It's supposed to be 30x30= 900, 40x40= 1'600

900+1600=2500. 2500 square rooted= 50

the answer is 50

so sorry to say but ritmeks you're wrong, you don't add them together you multiply them by themselves then add both together then you square root the answer you get from that

Answer:

Yes it is a proportional relationship

Step-by-step explanation:

That is because 20 and 10 are your original and 40 and 20 and 60 and 30 match with it.

Answer:

(D) Chey has a gift card with a balance of $26.58 and bought a hat that cost $15.85. The sum is the balance on his gift card.

Step-by-step explanation:

Which real-world story is represented by the problem (-15.85) + 26.58?

Comparing the options given below,

The correct option is

(D) Chey has a gift card with a balance of $26.58 and bought a hat that cost $15.85. The sum is the balance on his gift card.

This is because, buy a hat that cost $15.85 = -15.85

He has a balance is $26.58 on his credit card.

Hence: $26.58 - $15.85

Hence, option D is correct

Answer:

B & D

Step-by-step explanation:

Answer:

The height of the third bounce is 10.8 feet

Step-by-step explanation:

Let us solve the question

∵ A ball is dropped from a height of 50 feet

∵ The function f(x) = 50[tex](0.6)^{x}[/tex] gives the height in feet of each bounce

∵ x is the bounce number

∵ We need to find the height of the third bounce

∴ x = 3

→ Substitute x by 3 in the function above

∵ f(3) = 50(0.6)³

∴ f(3) = 50(0.126)

∴ f(3) = 10.8

∴ The height of the third bounce is 10.8 feet

Answer:

someone plz help this person

Answer:

No.

Explanation:

4/10 cannot be simplified to 1/4. 4/10 is simplified to 2/5.

The decimal form is 0.4

Hopefully this is correct. Good luck with your studies.

4/10 = 2/5 which is not simplify to 1/4

so the answer is NO.

Answer:

n=7m

Step-by-step explanation:

this answer is good on khan academy

The equation to describe the relationship between m and n will be n = 7m.

Firstly, there is proportional relationship.

Two values x  and  y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called constant of proportionality.

In order to find an equation between n and m by dividing n/m

m = 3, n = 21

n/m = 21/3 = 7

n = 7m

Now, check using the other two points

m = 5, n = 35

n/m = 35/5 = 7

n = 7m

m = 8, n = 56

n/m = 56/8 = 7

n = 7m

Hence, The equation to describe the relationship between m and n will be n = 7m.

Learn more about proportional relationship variable here:

https://brainly.com/question/13082482

#SPJ2

Answer:

The equation that models the situation is [tex]s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}[/tex].

Step-by-step explanation:

Let suppose that effects from air friction and Earth's rotation can be neglected, so that the softball can be modelled experiment a free fall, that is, an uniform accelerated motion due to gravity. From we know the initial velocity and position of the position and we can determine the final position of the ball as a function of the final velocity:

[tex]v_{f}^{2} = v_{o}^{2}+2\cdot a \cdot (s_{f}-s_{o})[/tex] (1)

Where:

[tex]s_{o}[/tex], [tex]s_{f}[/tex] - Initial and final position of the softball, measured in feet.

[tex]a[/tex] - Acceleration, measured in meters per square second.

[tex]v_{o}[/tex], [tex]v_{f}[/tex] - Initial and final velocities of the softball, measured in feet per second.

If we know that [tex]v_{o} = 50\,\frac{ft}{s}[/tex], [tex]a = -32.174\,\frac{m}{s^{2}}[/tex] and [tex]s_{o} = 4\,ft[/tex], then the equation that models the situation is:

[tex]v_{f}^{2} = 2500-64.348\cdot (s_{f}-4)[/tex]

Then, we clear the final position of the softball:

[tex]-\frac{v_{f}^{2}-2500}{-64.348} = s_{f}-4[/tex]

[tex]s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}[/tex]

The equation that models the situation is [tex]s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}[/tex].

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Answer:

  c) 5n +25q = 365

     2q -4 = n

Step-by-step explanation:

The number of nickels (n) is 4 less than twice the number of quarters (q), so one of the equations is ...

  2q -4 = n

The face value is 365 cents, so another equation is ...

  5n +25q = 365

These equations seem to match choice C.

Given:

The function is

[tex]f(x)=(x+3)^2(x-5)^6[/tex]

To find:

The zeros of the given function.

Solution:

The general form of polynomial is

[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex]       ...(i)

where, a is a constant, [tex]c_1,c_2,...,c_n[/tex] are zeros of respective multiplicities [tex]m_1,m_2,...,m_n[/tex].

We have,

[tex]f(x)=(x+3)^2(x-5)^6[/tex]

On comparing this with (i), we get

[tex]c_1=-3,m_1=2[/tex]

[tex]c_2=5,m_2=6[/tex]

It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.

Therefore, the correct option is B.

Answer:

1. 1 Burrito Platter = $58.50 , 1 Taco platter = $12.50

2. One pair of boots = $20 , One pair of shoes = $6

Step-by-step explanation:

1. Let the cost of one burrito platter be x and one taco platter be y.

4x + 2y = 259 --- Equation 1

4x + 4y = 284 --- Equation 2

Equations 2-1: 4x + 4y - 4x - 2y = 284 - 259

2y = 25

y = 25 ÷ 2

y = 12.50 (Taco platter)

Substitute y = 12.50 into Equation 1:

4x + 2y = 259

4x + 2(12.50) = 259

4x + 25 = 259

4x = 259 - 25

    = 234

x = 234 ÷ 4

x = 58.50 (Burrito platter)

2. Let the cost of one pair of boots be x and one pair of shoes be y.

7x + 8y = 188 --- Equation 1

6x + 8y = 168 --- Equation 2

Equations 1-2: 7x + 8y - 6x - 8y = 188 - 168

x = 20 (Boots)

Substitute x = 20 into Equation 2:

6x + 8y = 168

6(20) + 8y = 168

120 + 8y = 168

8y = 168 - 120

    = 48

y = 48 ÷ 8

y = 6 (Shoes)