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?

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.

Answer 2

Answer:

Luis’s, because he flipped the inequality sign when he subtracted

Step-by-step explanation:

Luis’s, because he flipped the inequality sign when he subtracted


Related Questions

of the 400 employees,5% of them managers.How many managers does the zoo employ?

Answers

Answer:

20 of them are managers

Step-by-step explanation:

Basically All you gotta do is convert that 5 percent to a decimal, so 5% = 0.05

400 x 0.05 (multiplying it will just increase your answer) and you will get 20

To check it

20/5% or 0.05 = 400

Determine whether it is possible to form a triangle
with side lengths 4.2, 4.2, and 8.4.
O yes
no

Answers

Answer:it is possible to have a triangle with the given side lengths. 7,9,13. Add any two sides and see if it is greater than the other side.

Step-by-step explanation:

Bus route A arrives at its stop every 15 minutes. Bus route B arrives at its stop across the street every 30 minutes. If both buses are currently arriving at their stops, how many hours will pass before both buses arrive at the same time?

Answers

Answer:

2 stops, 30 min

Step-by-step explanation:

to figure this out we have to divide B's time by A's time. 30÷15 is 2.

3y-2x-4x+5x+7
please help meeeeeeeeeeee

Answers

Answer:

3y-2x-4x+5x+7

please help meeeeeeeeeeee

[tex]3y-2x-4x+5x+7\\\\=3y-x+7[/tex]

Which numbers between 10 and 99 have digits that differ by 4 and add to 6

Answers

Answer:

A

Step-by-step explanation:

Correct option is A)

Let a 3-digit number ABC

Case (1)

If A=7, then B  and  C can be any digit but not 7

so, total 9 digits (0,1,2,3,4,5,6,8,9) can replace B and C

Then total such combinations =1(9)(9)=81

Case (2)

If B=7  then A can be any digit but not  0 and 7, because if A=0 it will be a 2-digit number.

And C can be any digit but not 7

Then total combinations =(8)(1)(9)=72

Case (3)

If C=7  then A can be any digit but not 0 and 7, because if A=0 it will be a 2-digit number.

And B can be any digit but not 7

Then total combinations =(8)(9)(1)=72

So, total numbers between 99 and 1000 which have exactly one of their digits as 7 are =81+72+72=225

convert NPR 180000 into
1. USD

Answers

Answer:

Solution here,

1 US dollar=NRS 120.74

Therefore Rs 180000= 180000/120.74

=$1490.99

Find the area of the cuboid.

Answers

Answer:

32

Step-by-step explanation:

area=2(lb+bh+lh)

2(3×2+3×2+2×2)

2(6+6+4)

2(16)

=32

Which congruence criteria is met in the following scenario
HL
AAS
SAS
ASA
SSS

Answers

Answer: SAS

Because there is a mark showing that one pair of sides are congruent, the stars showing that one pair of angles are congruent, then the triangles are sharing a line (which means that they are congruent)

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

B,D,E

Step-by-step explanation:

anybody help please hm​

Answers

Answer:

1

Step-by-step explanation:

if you use a calculator, it will come up as 1. I don't know why, but it does.

Hope this helps!

Lucas and his brother, Max, went to the arcade yesterday. Lucas played 2 games of Rodeo Racing and 8 games of Polar Pinball. Max played 3 games of Rodeo Racing and 9 games of Polar Pinball. Which brother played the greater ratio of Rodeo Racing to Polar Pinball?

Answers

Answer:

Max

Step-by-step explanation:

Lucas played 2 Rodeo Racing:8 Polar pinball = 1:4 (Divide by 2)

Max played 3 Rodeo Racing:9 Polar pinball = 1:3 (Divide by 3)

1:3 is greater than 1:4 so this proves that Max has played the greater ration of Rodeo Racing to Polar Pinball.

Answer:

Max played the greater ratio.

Step-by-step explanation:

:)

Answer based on the information.
1)find the length of DC
2)find the magnitude of ABE
3)find the magnitude of ADC
4)find the magnitude of BCD

Answers

Answer:

01)05

02)45°

03)120°

04)60°

Step-by-step explanation:

Have a great day!

$800 at 9% per year for 1 year

Answers

Answer:

The answer should be 72.

Step-by-step explanation:

You're finding the interest earned. I = Prt, I for simple interest, P for principal, r for rate, and t for time.

Substitute p for $800, r for 9%, and t for is 1 year.

You would multiply these three numbers together.

$800(0.09)(1) should give you 72.

a) 9 b) 10 c) 12 d) 15

will give brainliest plz help

Answers

[tex]y = \frac{x}{2} [/tex]

[tex]2x + 2y = \sqrt{180} \\ = > 2x + 2( \frac{x}{2} ) = \sqrt{180} \\ = > 2x + x = \sqrt{2 \times 2 \times 3 \times 3 \times 5} \\ = > 3x = 2 \times 3\sqrt{5} \\ = > 3x = 6 \sqrt{5} \\ = > x = \frac{6 \sqrt{5} }{3} \\ = > x = 2 \sqrt{5} [/tex]

[tex]x.y \\ = x \times \frac{x}{2} \\ = \frac{ {x}^{2} }{2} \\ = \frac{ {(2 \sqrt{5} )}^{2} }{2} \\ = \frac{4 \times 5}{2} \\ = \frac{20}{2} \\ = 10[/tex]

Answer:

10

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

b

Step-by-step explanation:

Given

2x + 2y = [tex]\sqrt{180}[/tex] = [tex]\sqrt{36(5)}[/tex] = 6[tex]\sqrt{5}[/tex]

and y = [tex]\frac{x}{2}[/tex] , then

2x + (2 × [tex]\frac{x}{2}[/tex] ) = 6[tex]\sqrt{5}[/tex]

2x + x = 6[tex]\sqrt{5}[/tex]

3x = 6[tex]\sqrt{5}[/tex] ( divide both sides by 3 )

x = 2[tex]\sqrt{5}[/tex]

and y = [tex]\frac{2\sqrt{5} }{2}[/tex] = [tex]\sqrt{5}[/tex]

Then

xy = 2[tex]\sqrt{5}[/tex] × [tex]\sqrt{5}[/tex] = 2 × 5 = 10 → b


Find the percent change from the first value to the second. Tell if it a decrease or
increase.
36: 63______;_______

Answers

Answer
Increase by 28

PLEASE HELP QUESTION IN PICTURE

Answers

Answer:

b = 55

d = 55

Step-by-step explanation:

Part B:

1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.

This means that b + 25 + 100 = 180

2. (Solving equation above)

Step 1: Simplify both sides of the equation.

[tex]b + (25+100)=180[/tex] [tex]b + 125 = 180[/tex]

Step 2: Subtract 125 from both sides.

[tex]b + 125 - 125 = 180 - 125[/tex] [tex]b = 55[/tex]

Therefore, b = 55.

Part D:

1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.

This means that 110 = d + 55

2. (Solving)

Step 1: Subtract 55 from both sides.

[tex]110-55 = d + 55-55[/tex] [tex]55 = d[/tex]

Therefore, d = 55.

When is f(x) when x=-5

Answers

Answer:

f is equivalent to 15 and when you replace x with -5 you will have to multiply 15×(-5) and you will get -75 as an overall answer.

What is the answer to -6n^2 - 5n - 7 = -8

Answers

Answer:

n = [tex]\frac{1}{3}[/tex] , n = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

6n² - 5n - 7 = - 8 ( add 8 to both sides )

6n² - 5n + 1 = 0 ← in standard form

Consider the product of the factors of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term

product = 6 × 1 = 6 and sum = - 5

The factors are - 3 and - 2

Use these factors to split the n- term

6n² - 3n - 2n + 1 = 0 ( factor the first/second and third/fourth terms )

3n(2n - 1) - 1(2n - 1) = 0 ← factor out (2n - 1) from each term

(2n - 1)(3n - 1) = 0 ← in factored form

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = [tex]\frac{1}{3}[/tex]

2n - 1 = 0 ⇒ 2n = 1 ⇒ n = [tex]\frac{1}{2}[/tex]

*FIRST PERSON TO GET IT RIGHT AND ANSWER FIRST GETS BRAINLIEST*
In an aquarium, there are starfish and octopi in a tank. The total number of animals in the tank is 30. The total number of legs in the tank is 171. Assuming that all animals have all their legs, find the number of each type of animal in the tank. (Starfish have 5 legs and Octopus have 8 legs)

(solve using substitution method. MUST SHOW WORK)

Answers

There are 23 sharks and 7 octopi in the aquarium

Let the number of sharks in the aquarium be xLet the number of octopi in the tank be y

If the total number of animals in the tank is 30, therefore;

x + y = 30 ....................... 1

If the total number of legs in the tank is 171 with starfish having 5 legs and Octopus having 8 legs, the required expression will be:

5x + 8y = 171 ................ 2

From equation 1, x = 30 - y ................... 3

Substitute equation 3 into 2 to have:

5(30-y) + 8y = 171

150 - 5y + 8y = 171

3y = 171 - 150

3y = 21

y = 7

Recall that x = 30 - y

x = 30 - 7

x = 23

Hence there are 23 sharks and 7 octopi in the aquarium

Learn more on simultaneous equation here: https://brainly.com/question/148035

What is the slope of the line that passes through the points (-3, 3)(−3,3) and (-21, 18) ?(−21,18)? Write your answer in simplest form.

Answers

Answer:

-5/6

Step-by-step explanation:

to find the slope between to lines we can subtract the second y by the first y and subtract the second x by the first x and dividing them by each other

(18 - 3) / (-21 + 3)

minusing a negative is basically adding

after subtracting them you get this

15 / -18

then reduce

-5/6

the slope is -5/6

How do I find the scale factor‼️‼️

Answers

Bro I got no clue
..........

Answer:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

17.31 x____=173.1 decimal math

Answers

Answer:

10.

Step-by-step explanation:

In order to find the missing value, we need to divide 173.1, by 17.31:

173.1 / 17.31 = 10

Dividing the product (173.1) by one value in the equation (17.31) can represent what the missing value is, in order for 17.31 to equal 173.1

Check:

17.31 · 10 = 173.1

173.1 / 10 = 17.31

This is the question in the photo above.

Answers

Answer:

an alternative hypothesis is an angle that is alternate to each other

150% of 45 less than 100, greater than 100 but less than 150. Or greater than 150?

Answers

Answer:

150% of 45 less than 100, greater than 100 but less than 150. Or greater than 150?

Answer:

Less than 100?                                                  YES

Step-by-step explanation:

150% of 45 less than 100, greater than 100 but less than 150, or greater than 150?

"150% of 45 "

150% (45)

1.5*(45) = 67.5      

Less than 100?                                                  YES

Greater than 100 but less than 150               NO

Greater than 150?                                             NO

Decide whether each set of side lengths could form a valid triangle: (6,8,9), (3,8,5), (4,9,14).

Answers

1) yes
2) no
3) no
Explanation: try to draw the last two its impossible. The only reason why the first one is a yes is because you could only make a side SLIGHTLY bigger.

Could someone please help me

Answers

The answer should be (x1,y1) =(-2,5) and then (x2,y2)=(-1,4)

Need someone to help me with this

Answers

Y=3x+7
Formula- y=mx+b
B is y intercept
M is slope
Hope this helps!!

You guys can write a story or a situation that can be represented by the given equation.

4a + 5 = 12a - 11

Thank you :)​​

Answers

Answer: Situation:

Step-by-step explanation:

You are walking in a grocery store and you see a nice deal saying that if you buy 4 batches of 2 bananas, you will get 5 extra bananas free of charge. However you see in another store that for the same price, you can buy 12 batches of 2 bananas but 11 of them are always bad and are needed to be thrown out. You calculate which deal is better and you decide on the first one because you hate stinking bananas. Hope this helps!

:)

What is the counter example for the conditional below? if a number is divisible by 6, then it is divisible by 18.

Answers

Answer:

24 is divisible 6 but not 18.

Step-by-step explanation:

The statement in the question is not true. So a counterexample is an example of the statement being false. Consider 24. 24 is divisible by 6, but 24 is not divisible by 18.

The counter example for the expression where a number is divisible by 6 then alternatively it will be divisible by 18 is when the number is 24 or 30

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

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

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number be n

The number n is divisible by 6

And , the number will be divisible by 18 when it is divisible by 6

Substitute the value of n = { 24 , 30 }

The number n = 24 is divisible by 6 but not divisible by 18

And , The number n = 30 is divisible by 6 but not divisible by 18

Hence , the expression is not valid

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ5

equation of the line that passes through (7,-1) and (-3,-1)

Answers

Answer:

y = - 1

Step-by-step explanation:

Note the y- coordinates of both points are equal, both - 1

This indicates the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through

The line passes through (7, - 1 ) and (- 3, - 1 ) with y- coordinates - 1 , then

y = - 1 ← equation of line

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