Atticus is examining the equations: 4x + 2y = 10 and y = -2x + 5. He states that the equations are equivalent. Is he correct why or why not?​

Answers

Answer 1

Answer:

He is correct

Step-by-step explanation:

Put the first equation into y = mx + b by isolating y:

4x + 2y = 10

2y = -4x + 10

Divide each side by 2:

y = -2x + 5

So, putting the first equation into y = mx + b got us the same equation as the second one, y = -2x + 5.

Since they are the same, the equations are equivalent.

Atticus is correct.


Related Questions

A car travels at a rate of 50 miles per hour for 3 hours. Let y be the distance, in miles, the car travels for a given amount of time, x, in hours. This situation can be modeled by a function.



What is the domain of the function?

A.
0 ≤ x ≤ 3

B.
0 ≤ x ≤ 50

C.
0 ≤ y ≤ 3

D.
0 ≤ y ≤ 50

Answers

The answer is A.

Not c because it says y and the domain is not the y value it is the x value.

What is the sum of 1-2 and V-18?

O42
O 421
O 52
05/21

Answers

Answer:

B) 421

Step-by-step explanation:

√2 + √-18

√2 + √9·-2

√2 + 3√-2  

(3 +1 )(√2 ·√-2) = 2i

4 · 2i

The solution of the equation 0 = 4 + 4{m+1} is

Answers

Answer:

m= -9

Step-by-step

this should work because (4+4)+(-9+1)=0 an

im sorry if this is wrong but im 99% sure this is right

i only put things in parenthesis to make things work better in my brain

Answer:

m = -2

Step-by-step explanation:

4 + 4{m + 1} = 0           {Subtract 4 form both sides}

   4{m + 1} = -4

   4m + 4 = -4             {Subtract 4 form both sides}  

         4m = -4 - 4

        4m  = -8             {Divide both sides by 4}

        m = -8/4

m = -2

PLEASE find x!!!!!!thx

Answers

Answer:

A.

Step-by-step explanation:

Find the scale by dividing 80 by 48 you get 1.6 then multiply by 60

Answer: A

Step-by-step explanation:

40+[3{18÷(9-3)-11-9}+4]​

Answers

Step-by-step explanation:

= 40 + [ 3 { 18 ÷ ( 9 - 3 ) - 11 - 9 } + 4 ]

= 40 + [ 3 { 18 ÷ 6 - 11 - 9 } + 4

= 40 + [ 3 { 3 - 20 } + 4

= 40 + [ 3 {- 17 } + 4

= 40 + ( - 51 ) + 4

= 40 + 4 - 51

= 44 - 51

= - 7

[tex]...[/tex]

☘☘☘....

Answer:

[tex] \sf \large \: - 7[/tex]

Step-by-step explanation:

40+3(18/9−3−11−9)+4

=40+3(18/6−11−9)+4

=40+3(3−11−9)+4

=40+3(−8−9)+4

=40+(3)(−17)+4

=40+−51+4

=40+−47

=−7

please help!! i don’t understand how to do this.

Answers

Answer:

C= 5/9 * (F -32)

Move 5/9 to the left which makes it 9/5

9/5 * C = (F -32)

Move the -32 to the left

9/5 * C +32 = F  or to make it read left to right

Fahrenheit  = 9/5 * Celsius + 32

Step-by-step explanation:

Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20

Answers

Answer:

You aren't supposed to add 3k

Step-by-step explanation:

3k is a positve number. So instead of adding you have to subtract to be able to move on. Correct way shown below. Once you get this step wrong your answer will also be wrong. At the end you also need to divide

19-2k= 3k-1

  -3k  -3k

19-5k= -1

-19      -19

 -5k= -20

-5/-5= -20/-5

    k=4

A cab service charges $4 plus $1.50 per mile. Kate wants to spend no more
than $28 on cab fare. In this inequality, m represents the greatest number of
miles Kate can travel in the cab.
28 > 4+1.5m
Solve the inequality. What is the value of m?
O A. 8
O B. 16
O C. 28
O D. 30

Answers

Answer:

b

Step-by-step explanation:

took the test i got bj : fz wf

The value of m in the inequality 28 > 4+1.5m is 16

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

To solve for m, we need to isolate it on one side of the inequality.

We can start by subtracting 4 from both sides:

28 - 4 > 1.5m

Simplifying:

24 > 1.5m

Next, we can divide both sides by 1.5:

16 > m

So Kate can travel at most 16 miles in the cab if she wants to spend no more than $28 on cab fare.

Therefore, the value of m in the inequality 28 > 4+1.5m is 16

To learn more on Inequalities click:

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Does anyone have know if there’s a answer key for this if not pls help.

Answers

Answer:

I'm not sure, but I could kinda help

Step-by-step explanation:

to find the slope using a graph, using the formula :

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

I hope this helps

What is the value of the expression below when w=6w=6 and x=10x=10?
5w+10x

Answers

The value of the expression is 130.

Here,

The values are given as;

w = 6 and x = 10

We have to find the value of expression 5w + 10x.

What is Substitution method?

The algebraic method to solve simultaneous linear equation is called Substitution method.

Now,

The values are given as;

w = 6 and x = 10

Substitute this values in given expression, we get;

5w + 10x = 5*6 + 10*10

              = 30 + 100

              = 130.

Therefore, The value of the expression is 130.

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Which equation has a Slope of -1 and a Y intercept of -9?

Answers

Answer

What are the answers?

Step-by-step explanation:

Answery

y =−4x+3

Step-by-step explanation:

The slope-intercept form of a linear equation is:

y =m x+b

Where  m is the slope and b

is the y-intercept value.

Substituting the values from the problem gives:

PLEASE HELP ME, GIVING 40 POINTS!!!!!
How many perfect cube divisors does 160,000 have?

Answers

Answer:

160,000 has three(3) perfect cube divisors namely;. 8, 8 and 125

Step-by-step explanation:

To determine how many perfect cube divisors 160,000 has;

We first need to highlight the factors of 160,000 as follows;

(2 × 2 × 2) × (2 × 2 × 2) × 2 × 2 × (5 × 5 × 5) × 5

As such, the product of numbers in each bracket yield a perfect cube; the expression above then becomes;

2 × 2 × 5 × 8 × 8 × 125.

Therefore, 160,000 has three(3) perfect cube divisors namely;. 8, 8 and 125

Answer: Three which are: 8, 8, and 125

Plz help plz plz i need help with this question

Answers

Answer: the original slope is 3/2

The perpendicular slope is -2/3

Slope is rise/run

Step-by-step explanation: For the original slope get  

Find coordinates where the graphed line crosses the grid lines at the intersections. Here, (0,-2) and (2,1) Count the number of squares vertically. That is the rise. It is the difference in y-values. It is the numerator of the fraction. Then count the squares horizontally to get the run. That is the denominator of the fraction.

It is possible to use the expression [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] to calculate the slope.

[tex]\frac{1-(-2)}{2-0} = 3/2[/tex]

To find the perpendicular slope, reverse the sign and use the reciprocal of the original fraction.

The reciprocal of 3/2 is 2/3. The opposite sign is negative. -2/3

Please help I’m a little bit confused. If so, could you also tell me why it would be the one it is thank you!!

Answers

Answer:

0.44x10^3

Step-by-step explanation:

The number has to be from 1 to 10, not below 1, like 0.44 does.

2. x=9+ 2y
3х – 4y = 33

Answers

Answer:

y=3, x=15

Step-by-step explanation: hope this helps

Objective: Write expressions to represent scenarios. If x represents the amount Rita earns each week, which expression represents the amount she earns in a year? Select the correct answer.
A. x + 52
B. 52 – x

C.
D. 52x

Answers

If your working out your earnings and hours worked you need to times it... so it’ll be D. 52x. Mathematicians write numbers and letters together for multiplying... 52x means 52 x X.

Help! [tex]\frac{x}{3} +5=x-1[/tex]

Answers

[tex]\frac{x}{3}+5=x-1[/tex]

Whenever there's a denominator. Multiply all whole equation with the denominator. For example, the denominator here in the equation is 3. So we multiply the whole equation by 3.

[tex]\frac{x}{3}(3)+5(3)=x(3)-1(3)\\x+15=3x-3[/tex]

Moving the x to the same term which goes for the same as the constant for easier in solving.

[tex]15+3=3x-x[/tex]

Moving to the another side, changing the sign/operator to opposite (From plus to minus, from multiply to divide.)

[tex]18=2x\\2x=18\\[/tex]

Move 2 to another side, aka to divide 18.

[tex]x=\frac{18}{2}\\x=9[/tex]

Therefore, the answer is x = 9.

Mr. Mills is 5 feet and 11 inches tall. How many inches tall is he?

Answers

Answer:

71

Step-by-step explanation:

There are 12 inches in a foot:

12 inches x 5 feet = 60

60 + 11 inches = 71 inches total

Answer:

71 inches

Step-by-step explanation:

12 inches in a foot

12*5

60+11

71 inches

Hope this hopes. Have a great day. May it be filled with joy and happiness.

HELP ME ASAP PLEASE!! IM GIVING EXTRA POINTS AND BRAINLIEST!!
Which number line shows the numbers -0.7,0, and plotted correctly?
-1
0

Answers

Answer:

the second one listed would be the answer you're looking for hon.

Step-by-step explanation:

Don't stay up too late, it is getting late. make sure you ace whatever you are doing and get good rest too.

Find LCM (m, n), if it is known that m and n are mutually prime


LCM (m. n) = ___

10 points!

2. The LCM of two relatively prime numbers is their product. True or false?
3. The LCM of a number and its multiple is this multiple. True or False?
4. If the LCM of two numbers is their product, then these numbers are relatively prime.

Answers

Answer:

3

Step-by-step explanation:

Every day, Jackie practices basketball and guitar. Each day, she practices basketball for 1.5 hours. If after 6 days she practiced both basketball and guitar for a total of 21 hours, how many hours per day did Jackie practice guitar?

Answers

Answer:

The answer is 2 hours. I put in the answer the other person said and it was incorrect. So I tried another chose and it was 2 hours.

What is the slope of the line in this graph?
please help my grade is on the line rn I think it's either 5/7 or 7/5​

Answers

5/7 if the answer is only between the 2

find x exterior angles​

Answers

Answer:

The value of x is 27

Step-by-step explanation:

The sum of the exterior angles of the n-side polygon is 360°

Let us use this rule to solve the question

∵ The given polygon has 4 sides

∴ It has 4 exterior angles, one on each vertex

→ By using the rule above

The sum of the 4 angles is 360°

∵ The exterior angles are (2x + 40)°, (4x)°, (x + 50)°, and (3x)°

→ Add them, then equate the sum by 360

(2x + 40) + (4x) + (x + 50) + 3x = 360

→ Add the like terms in the left side

∵ (2x + 4x + x + 3x) + (40 + 50) = 360

10x + 90 = 360

→ Subtract 90 from both sides

∵ 10x + 90 - 90 = 360 - 90

∴ 10x = 270

→ Divide both sides by 10

x = 27

The value of x is 27

Richardo had saved $80 from his summer job to buy video games. He
bought 4 games and the cashier gave him $16.40 in change. If each
game cost the same amount, how much was each game?
Leave off the dollar sign in your answer.

Answers

Answer:

$15.90

Step-by-step explanation:

80 - 16.40 = 63.60

63.60÷4 =15.9

15.9 = $15.90

Johan needs to send out thank you cards after his graduation party he would buy a package of thank you cards for $8.50, or he could buy x individual thankyou cards for $0.15 each what is the largest value of x that would make buying the individual card less expensive than buying the package
A. 54
B. 55
C. 56
D. 57

Answers

The largest value of x that would make buying the individual card less expensive than buying the package is 57.

What is the largest value of x?

The total cost of buying the individual thankyou cards is the product of the cost of buying one card and the number of cards bought.

Total cost of buying the individual thankyou cards = cost per card x number of cards bought

$0.15 × x = $01.5x

The inequality equation that would be used to represent this question is

(total cost of individual thankyou cards) > cost of the package

$0.15x > $8.50

In order to determine the value of x, divide both sides of the equation by 0.15

x > (8.50 / 0.15)

x > 56.67

x > 57 to the nearest whole number

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Dr. Brown, a veterinarian, noticed that he only had about 200 grams of cat treats left. So, he bought a new 2.5-kilogram jar. If he uses about 100 grams of cat treats every week, in how many weeks will he run out?

(Sorry if I'm asking so many questions I really need help!)

Answers

The number of weeks that they cat treats will train out is 27 weeks.

How to calculate the value?

From the information given, the total grams will be:

= 200 + (2.5 × 1000)

= 200 + 2500

= 2700 grams.

Then he uses about 100 grams of cat treats every week, the number of weeks will be:

= 2700 / 100

= 27

There'll be 27 weeks.

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The owner of two hotels is ordering towels. He bought 84 hand towels and 22 bath towels for his hotel in Milford, spending a total of $618. He also ordered 84 hand towels and 80 bath towels for his hotel in Bloomington, spending $1,140. How much does each towel cost?

Answers

Step-by-step explanation:

hand towel is $5

bath towel is $9

PLEASEEEE HELPPPP!!!!:(((((:(:(

Answers

Answer: x=3, p/2,-p/2

Step-by-step explanation:

it's hard to explain, so let me know if you really want me to explain.

Look at the picture for the question.

Answers

Answer:

Option D: the x-intercept represents the minimum amount of photographs he must sell to pay for his photography lab.

Step-by-step explanation:

We are told that his monthly profit is given by the relation;

P = 32.5x - 845

Where x is number of pictures he needs.

We want to find what the x - intercept represents.

x intercept means that the y-value at that point is zero.

Thus, x-intercept means the profit is 0.

If profit is zero, it means his cost of operating his photography lab each month is equal to the amount of photographs he is able to sell.

Thus, it means that the x-intercept represents the minimum amount of photographs he must sell to pay for his photography lab monthly.

PLS HALP- Fill in the blanks-sometimes-always-or never-
-Irrational numbers can be expressed by ratio of 2 integers (sometimes-always-or never)
-If a number is a whole number, it is also rational (sometimes-always-or never)
-Rational numbers are also integers (sometimes-always-or never)
-Non-perfect squares are irrational (sometimes-always-or never)
Pls answer correctly ty

Answers

Answer:

I think they are all always.

Step-by-step explanation:

They are called rational because they are the ratio, or quotient, of two integers

numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

If a square root is not a perfect square, then it is considered an irrational number. These numbers cannot be written as a fraction because the decimal does not end and does not repeat a pattern.

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