Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
7.2b + 6.5 > 4.8b – 8.1.

Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6.
Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.
Which student’s first step was incorrect, and why?

Answer:

3960

Step-by-step explanation:

multiply 45 by the amount of feet in a mile (5280)

take that answer and divide in by how many minutes are in an hour

Answer:

x=7

Step-by-step explanation:

Hope this helps!

Answer:

see explanation

Step-by-step explanation:

(1)

y varies directly as x² then the equation relating them is

y = kx² ← k is the constant of variation

To find k use the condition y = 32 when x = 2

32 = k × 2² = 4k ( divide both sides by 4 )

8 = k

y = 8x² ← equation of variation

When x = 5 , then

y = 8 × 5² = 8 × 25 = 200

(2)

Given F varies inversely as d² then the equation relating them is

F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation

To find k use the condition F = 18 when d = 10

18 = [tex]\frac{k}{10^2}[/tex] = [tex]\frac{k}{100}[/tex] ( multiply both sides by 100 )

1800 = k

F = [tex]\frac{1800}{d^2}[/tex] ← equation of variation

When d = 15 , then

F = [tex]\frac{1800}{15^2}[/tex] = [tex]\frac{1800}{225}[/tex] = 8

(3)

y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

when x = 3, y = 6, z = 9 ,then

y = 6 × 3 × 9 = 162

Answer: what? What’s the question?

Answer:

Point A

Step-by-step explanation:

Look along the x axis (horizontal) and find -1. Then look on the y axis and find 1 and 1/4. Finally, find where the two coordinates meet and that's your point - A.

Hope this helps!

Answer:

49π cm²

Step-by-step explanation:

[tex]A=\pi r^2[/tex]

[tex]A=\pi (7)^2[/tex]

[tex]A=49\pi[/tex]

Therefore, the area of a circle of radius 7 is 49π cm²

Hello there! :-)

The formula for calculating the area of a circle is

A=πr²

A=π(7)²

Notice that only the radius is squared.

A=π(49)

A=154 cm

Hope this helps!

Use the comment section to clarify your doubts.

Answered by

~A teen who helps others with joy and listens to her favourite music

#LetItSnow

Good luck with your studies. :-)

Answer:

2 units up and 4 units to the right.

Step-by-step explanation:

It is 2 units up and 4 units to the right because since the x-coordinate is positive, that means the point is to the right of the origin and since the y-coordinate is positive, that means the point is above the origin.

Answer:

120$

Step-by-step explanation:

Answer:

18/5

Step-by-step explanation:

simple division mm m m k l k obkbono

Answer:

39/10

Step-by-step explanation:

I promise you correct answer ur welcome

Answer:

x = 3

Step-by-step explanation:

2x - 3y - z = 7 (equation 1)

3x + 5y - 3z = -2 (equation 2)

4x – y + 2z = 17 (equation 3)

(1) * 3 : 6x - 9y - 3z = 21 (1)'

(1)' - (2) :  3x - 14 y = 23 (equation 4)

(1) * 2 : 4x - 6y - 2z = 14 (1)"

(1)" + (3) : 8x - 7y = 31 (equation 5)

(5)*2 : 16x - 14y = 62 (5)'

(5)' - (4) : 13x = 39

              x = 3

So thus, x = 3 in this system of equations, you can plug x back into equation 4 or 5 to find y and then plug x and y back into equations 1, 2, or 3 to find z

Answer:

13

Step-by-step explanation:

The proportion is solved and the number of muffins is M = 16

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

The ratio of cookies to muffins made at The Berry Bakery is 3 : 4

Now , the number of cookies is = 12

So , the proportion is

3 / 4 = 12 / M

Multiply by M on both sides , we get

( 3/4 )M = 12

Divide by 3/4 on both sides , we get

M = 16 muffins

Hence , the number of muffins is 16

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

Answer:

X=((2q+5p)/3)^1/2

This is how x has to be subjected

Step-by-step explanation:

Please Brainlist

Answer:

[tex]x[/tex] = √2q + 5p / 3

Step-by-step explanation:

3[tex]x^{2}[/tex] = 2q + 5p

[tex]x^{2}[/tex] = 2q + 5p / 3

[tex]x[/tex] = √2q + 5p / 3

Answer:

It will rain 48 inches in 12 hours.

Step-by-step explanation:

If for every hour it rains 4 inches, then to find how many inches it rained in 12 hours you just need to multiply the amount of hours by 4: 12 x 4 = 48

PLZ mark brainliest if I helped

Answer:

The original price is Rs. 50

Step-by-step explanation:

Let the original price be Rs.x

x+8% of x=54

x+(8/100)*x=54

x+8x/100=54

(100x+8x)/100=54

108x/100=54

x=54* 100/108

x=50.

The original price is Rs. 50

Answer:

Step-by-step explanation:

Let the initial price be x.

We have:

Rewrite it as below and solve for x:

Answer:

The line representing the number of ounces of chicken required to serve x people is steeper than the line representing the number of ounces of fish required to serve x people.

Step-by-step explanation:

I took the test

Comparing the two graphs, we can conclude that: the graph representing the number of ounces of chicken required to serve x people has a steeper slope than the graph representing the number of ounces of fish that will serve x people

Recall:

Given the following:

Graph representing the number of ounces of chicken required to serve x people: y = 7x

The slope is 7.

Graph representing the number of ounces of fish required to serve x people: y = 5x.

The slope is 5.

Learn more about slopes on:

https://brainly.com/question/12242745

Answer: 125 hearts and 375 stars

Step-by-step explanation:

25% of 100 is 25. Take 100 and x it by 5. 100 x 5 is 500 making 25 x 5 125. That being said 125 hearts and 375 stars

Answer:

125 hearts and 375 stars

Step-by-step explanation:

Answer:

17 coaches

Step-by-step explanation:

820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17

Answer:

17 coaches  

Step-by-step explanation:

820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17

Answer:

x=5

Step-by-step explanation:

First you combine the like terms. next you add 7+23. After that you subtract 10 from both sides. You're left with 4x=20. divide the equation by 4 on each term. Then you're left with x=5.

Answer:

total surface area of a cylinder is 471 cm²

this equation is a non linear equation

Answer:

5

Step-by-step explanation:

5 =5 +5+5=5+5

Answer:

AB ≈ 5.7

Step-by-step explanation:

Calculate AB using the distance formula

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

with (x₁, y₁ ) = (- 2, - 2 ) and (x₂, y₂ ) = (2, 2 )

AB = [tex]\sqrt{(2-(-2))^2+(2-(-2))^2}[/tex]

     = [tex]\sqrt{(2+2)^2+(2+2)^2}[/tex]

     = [tex]\sqrt{4^2+4^2}[/tex]

     = [tex]\sqrt{16+16}[/tex]

     = [tex]\sqrt{32}[/tex]

     ≈ 5.7 ( to the nearest tenth )

Answer:

5:55 pm

Step-by-step explanation:

Answer:

5:55pm

Mark brainlest if correct

Step-by-step explanation:

Answer:

W = - 6

Step-by-step explanation:

-3(-8w+1) - w = 5(w-1) - 1 -> (Original equation)

24w - 3 - w = 5w - 5 - 1 -> (Expanded version)

23w - 3 = 5w - 6 -> (Simplified version)

18w - 3 = - 6 -> (Subtract 5w from both sides)

18w = - 3 -> (Add 3 to both sides)

w = 18/-3 which is - 6 -> (Doing 18/-3)

Answer:

5 feet

Step-by-step explanation:

Using pythagoras' theorem a^2 = b^2 + c^2

13^2 = 12^2 + c^2

c^2 = 25

c = 5 feet

Answer:5

Step-by-step explanation:

e: x10+x15+x30=3

⇒3x+2x+x30=30

∴x=15

a: 1.5t+2.5t+3.5t=70+0.5t

⇒7.5t−0.5t=70

⇒7t=70⇒t=707=10

b: Let the number be x.

Given that, 2x3−x6=10

⇒4x−x6=10

x=20

d: 3x+5>25−x

⇒3x+x>25−5

⇒4x>20⇒x>204⇒x>5.

Answer: 9.75

Step-by-step explanation: i just added

Answer:

less

Step-by-step explanation:

Answer: Each phone case costs $6.54.

Explanation:

$32.70 ÷ 5 = cost per cell phone

$32.70 ÷ 5 = $6.54