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?​

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

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.

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.

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

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

Step-by-step explanation:

hand towel is $5

bath towel is $9

Answer:

$15.90

Step-by-step explanation:

80 - 16.40 = 63.60

63.60÷4 =15.9

15.9 = $15.90

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

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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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.

Answer:

y=3, x=15

Step-by-step explanation: hope this helps

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

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

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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.

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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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.

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:

Answer:

0.44x10^3

Step-by-step explanation:

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

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:

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

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

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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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

Answer:

3

Step-by-step explanation:

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:

Answer:

B) 421

Step-by-step explanation:

√2 + √-18

√2 + √9·-2

√2 + 3√-2  

(3 +1 )(√2 ·√-2) = 2i

4 · 2i

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.

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

[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.

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