Samantha is solving the linear equation 15+ 5x - 9 = 5x + 8 - 4x. Her next two steps are

6 + 5x = x + 8

4x = 2

Select the statement that correctly interprets Samantha's solution.

A

The solution is x = 1

The solution is the ordered pair (4,2).

C

There is no solution since 4x = 2 is a false statement.

There are infinitely many solutions since 4x = 2 is a false statement.

Answers

Answer 1

Answer:

Correct!

Step-by-step explanation:

The solution is x = 1


Related Questions

Which scatter plot best represents a linear association between y and x ? ​

Answers

Answer:

D

Step-by-step explanation:

it looks more like a line.

A is exponential

B is a parabola

C is no association

Find the distance from A to C across the gorge illustrated in the figure

Answers

Applying the tangent ratio, the distance from A to C across the gorge, is:  60.6 ft.

What is Tangent Ratio?

The tangent ratio for solving a right triangle is given as, tan ∅ = opposite/adjacent.

Given the following:

∅ = 25°Adjacent length = 130 ftOpposite length = AC

Apply the tangent ratio:

tan 25 = AC/130

AC = (130)(tan 25)

AC = 60.6 ft

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The area of the triangle 5yd 16yd 12yd

Answers

The area is 20.662.

Needed Right now Worth 50 points

Answers

a = The cost of the pizza.

b = The cost of the pizza and sales tax.

f(a) = The cost of the pizza.

g(b) = The cost of the pizza and sales tax.

g(f(a)) = The cost of the pizza, sales tax, and delivery fee

What is the sum of 5.2 x 108 and 2.3 x 108?

Answers

Answer: 7.5 × 10⁸

Step-by-step explanation:

They are both rairaised to power of 8, so you can add 5.2 and 2.3

The Algebra teachers at Blue Field High School need to buy new textbooks and calculators for the math department. The textbooks cost $105.00 each, and the calculators cost $120.00 each. If the teachers have $4,000 to spend and purchase 25 calculators, how many textbooks can they buy?

Answers

Answer: 9 textbooks

Step-by-step explanation:

25 x 120.00 = 3,000

4,000 - 3,000 = 1,000

9 x 105.00 = 945

1,000 - 945 = 55

The teacher can only buy 9 textbooks since she/he doesn't have enough money to get anymore.

which 2 numbers multiply to give 120 and add to give 2​

Answers

Answer:

-12 and 10

Step-by-step explanation:

sorry if it's wrong

The correct answer is
-10+12

Its not
-12+10 because that will give -2

-10+12 equals 2

So the answer is -10+12

-28-6b=8 I can’t get the answer I need help.

Answers

Answer:

6

Step-by-step explanation:

-28-6b=8

-6b=36

b=6

Edgar has $30 in an account that earns 5% interest compounded annually. To the nearest cent, how much interest will he earn in 2 years?

Answers

Answer:

Total Interest = $3.08

Step-by-step explanation:

A = P (1 + r/n)^(nt)

A = 30(1+.05/1)^(1*2)

A = 33.08

We want to find interest only so subtract principal amount from total value

33.08-30 = 3.08

Total Interest = $3.08

Total Value = $33.08

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please help!!!!
simplify the rational expression. state any restrictions on the variable.
t^2+2t-24/t^2-36

Answers

Answer: hope this helps! :)

t - 4

—————

t - 6

Step-by-step explanation:

          t2 + 2t - 24

Simplify   ————————————

            t2 - 36    

Trying to factor by splitting the middle term

  Factoring  t2 + 2t - 24  

The first term is,  t2  its coefficient is  1 .

The middle term is,  +2t  its coefficient is  2 .

The last term, "the constant", is  -24  

Multiply the coefficient of the first term by the constant   1 • -24 = -24  

Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   2 .

    -24    +    1    =    -23  

    -12    +    2    =    -10  

    -8    +    3    =    -5  

    -6    +    4    =    -2  

    -4    +    6    =    2    That's it

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  6  

                   t2 - 4t + 6t - 24

 Add up the first 2 terms, pulling out like factors :

                  t • (t-4)

            Add up the last 2 terms, pulling out common factors :

                  6 • (t-4)

Step-5 : Add up the four terms of step 4 :

                  (t+6)  •  (t-4)

           Which is the desired factorization

Trying to factor as a Difference of Squares :

1.2      Factoring:  t2-36  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

       A2 - AB + BA - B2 =

       A2 - AB + AB - B2 =

       A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 36 is the square of 6

Check :  t2  is the square of  t1  

Factorization is :       (t + 6)  •  (t - 6)  

Canceling Out :

  Cancel out  (t + 6)  which appears on both sides of the fraction line.

Answer:

t⁴ + t³ - 36t - 24

Step-by-step explanation:

Given :

t² + 2t - 24/t² - 36

Solving :

Multiply throughout with t² so the polynomial is easier to simplifyt² (t² + 2t - 24/t² - 36)t⁴ + t³ - 24 - 36t²t⁴ + t³ - 36t - 24

How to find the height of a cube

Answers

Answer:

Height of a cuboid given its volume and base area = Volume/Base Area :)

Have an amazing day!!

Please rate and mark brainliest!!

percent discount

A $55.00 purse is on sale for $30.25

Answers

Answer:

2475%

Step-by-step explanation:

The heat Q required to raise the temperature of water varies jointly as the mass m of the water and the amount of temperature change T, and Q=20930 joules (J) when m=1kg and T=5 degrees C. Find m when Q=8372 J and T=10 degrees C

Answers

Answer:

m = 0.2 kg.

Step-by-step explanation:

Joint variation:

Q = kmT where k is a constant.

Subsituting the given values:

20930 = k*1*5

k = 20930 / 5 = 4186.

So the relation is:

Q = 4186mT

When Q = 8372 and T = 10:

8372 = 4186 * m * 10

m = 8372 / (4186*10)

m = 0.2 kg.

Fiona found 47 pens for $3. Please help Fiona by figuring out the ratio. (round to 2 decimal places)

A. $1.57 per pen

B. $15.67 per pen

C. $15.67 pens per dollar

D. $1.57 pens per dollar

Answers

Answer:

c

Step-by-step explanation:

solve for x:
x/9 − 5 = 5

x=

Answers

Answer: 90

Step-by-step explanation:

10 - 5 = 5 and 90/9 = 10 so x is 90

Um, what's the value of e,
[tex]9e+4=-5e+14+13e[/tex]

Answers

Hello ~

My name is Irxdscent, and I will be answering your question today! :D

→ Answer :-

[tex]\sf{e = 10}[/tex]

→  Explanation :-

[tex]\sf{9e \: + \: 4 = -5 \: + \: 14 \: + \: 13e}[/tex]

Group like terms:

        [tex]\sf{\sf{9e \: + \: 4 = -5 \: + \: 13e \: + \: 14}[/tex]

Add similar elements: [tex]\sf{^-^5^e \: ^+ \: ^1^3^e \: ^= \: ^8^e}[/tex]

        [tex]\sf{9e \: + \: 4 = 8e \: + \: 14}[/tex]

Subtract [tex]\sf{4}[/tex] from both sides:

        [tex]\sf{9e \: + \: 4 - 4 = 8e \: + \: 14 \: - \: 4}[/tex]

Simplify:

        [tex]\sf{9e = 8e \: + \: 10}[/tex]

Subtract [tex]\sf{8e}[/tex] from both sides:

        [tex]\sf{9e \: - \: 8e = 8e \: + \: 10 \: - \: 8e}[/tex]

Simplify:

        [tex]\sf{e = 10}[/tex]

Hope It Helps! ~

~ Learn With Lrxdscent ~

[tex]\underline{Answer :}[/tex]

ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ

Answer:

e = 10

Step-by-step explanation:

In this question we are provided with an equation that is 9e + 4 = -5e + 14 + 13e . And we are asked to find the value of e .

Solution : -

[tex] \longrightarrow \qquad \: 9e + 4 = {-5e} + 14 + { 13e}[/tex]

Step 1 : As there are like terms in right side . So we are solving them and get :

[tex] \longrightarrow \qquad \: 9e + 4 = 14 + 8e[/tex]

Step 2 : Subtracting 4 on both sides :

[tex] \longrightarrow \qquad \: 9e + \cancel{4 }- \cancel{4 }= 14 + 8e - 4[/tex]

Now , cancelling 4 with -4 and subtracting 4 from 14 :

[tex]\longrightarrow \qquad \: 9e = 10 + 8e[/tex]

Step 3 : Subtracting 8e on both sides :

[tex] \longrightarrow \qquad \: {9e } - {8e } =10 + \cancel{ 8e} - \cancel{ 8e}[/tex]

On further calculating , we get :

[tex]\longrightarrow \qquad \: \underline{\boxed{\bold{ \frak{{e = 10}}}}}[/tex]

Therefore , value of e is equal to 10.

Verifying : -

We are verifying our answer by substituting value of e in given equation. So ,

9e + 4 = -5e + 14 + 13e

9 (10) + 4 = -5 (10) + 14 + 13 (10)

90 + 4 = -50 + 14 + 130

94 = -50 + 144

94 = 94

L.H.S = R.H.S

Hence, Verified.

Therefore, our value for e is correct .

#Keep Learning

What is the slope of the line?

Answers

Answer:

1/4

Step-by-step explanation:

The slope of a line is rise over run. We can see here rise is 1 and run is 4. 1 over 4 = 1/4.

Number of elements in a set
I = (factors of 12​

Answers

Answer:

1,2,3,4,5,6, 12

Step-by-step explanation:

because each of those divides 12

Find the measure of angle s?
45•
90•
30•
15•

Answers

Answer:

∠ S = 15°

Step-by-step explanation:

the secant- secant angle S is half the difference of the measures of the intercepted arcs, then

∠ S = [tex]\frac{1}{2}[/tex] (AC - EN) = [tex]\frac{1}{2}[/tex] (60 - 30)° = [tex]\frac{1}{2}[/tex] × 30° = 15°

Answer:

15°

Step-by-step explanation:

quick!!!! what do you call a sleeping bull. its geometry math homework 7th grade.

Answers

you call it a bull-dozer

can someone help with this​

Answers

Answer:

2.4

Step-by-step explanation:

6 / 2 1/2 = 2.4

Hope This  Helps

Find the volume of a cone with a base with an area of 43 mm² and a height of 17 mm. Round your answer to the nearest tenth.​

Answers

The answer is V≈0.24m³ and it says i have to have 20 characters so here you go

Identify the slope and y-intercept of each of the following lines. Then graph each line.
6x + 2y = 12
attached graph
I am confused...

Answers

Answer:

y=6−3x

y=mx+b

y=−3x+6

Find the values of m and b using the form y=mx+b.

m=−3

b=6

Graph the line using the slope and the y-intercept, or the points.

Slope: −3

y-intercept: (0,6)

x, y

0,6

2,0

Step-by-step explanation:

hope this helps

Answer:

Below!

Step-by-step explanation:

The provided equation is in standard form. To convert it to slope intercept form, we need to have the y-variable isolated (as much as possible) on the L.H.S. Let's start the process by subtracting 6x both sides. This will isolate the y-variable and the cooeficient of the y-variable.

⇒ 6x + 2y = 12⇒ 6x - 6x + 2y = 12 - 6x⇒ 2y = 12 - 6x

To further isolate the "y" variable, let's divide 2 both sides. This will isolate the cooeficient of the y-variable. Once the cooeficient of the y-variable is fully isolated, we simply need to simplify the R.H.S (If needed). Then, the equation obtained is in slope intercept form.

⇒ 2y/2 = 12/2 - 6x/2⇒ y = 12/2 - 6x/2

LIkewise, since the R.H.S can be simplified, let's simplify the R.H.S. The equation we obtained for now is in slope intercept form, but the simplified equation would help us to graph the line.

⇒ y = 12/2 - 6x/2⇒ y = 6 - 3x

When we look at the slope intercept form formula (y = mx + b), we can see that "6" and "3x" needs to be switched.

⇒ y = -3x + 6                                                    (Slope intercept form)

Finally, lets plot the line on the graph. To plot the line on the graph, we need to determine the x-intercept and the y-intercept.

y-intercept: (0, 6)

The x-intercept is the R.H.S of the equation we obtained. Keep in mind that the "y" variable will be 0.

⇒ -3x + 6 = 0

Once we found the solution, we will determine two points of the line and lastly, we will plot the line on the graph.

⇒ -3x + 6 - 6 = 0 - 6⇒ -3x = -6⇒ -3x/-3 = -6/-3⇒ x = 2

Thus, we obtained the following points:

x-intercept = 2 ⇒ Point obtained: (2, 0)y-intercept = 6 ⇒ Point obtained: (0, 6)

→ Then, plot these points on the graph. Remember, x coordinate first.

→ Finally, we can draw a line through these points.

And we are done!

Graph:

3(y-3)=-2y+6

it’s on my hw i don’t understand

Answers

y=3

explanation

3(y-3)=-2y+6

3y-9=-2y+6

5y-9=6

5y=15

y=3

The answer is y=3
Just move the parentheses then move the terms

What is the area under the curve f (x) e ^ 2x between x1 = 0 to x2 = 2.​

Answers

Answer:

26.75 unit^2 to the nearest hundredth.

Step-by-step explanation:

Integrating between the 2 limits:

            2                            2

Area =   ∫    e^2x dx     =   [   1/2 e^2x ]

            0                            0

= 1/2( e^4 - e^0]

= 1/2(54.598 - 1)

= 26.749

In circle G with m \angle FGH= 86m∠FGH=86 and FG=16FG=16 units, find the length of arc FH. Round to the nearest hundredth.

Answers

The length of arc FH in the circle 8.37 units.

What is circle?

In mathematics, a circle is a closed two-dimensional shape that consists of all the points in a plane that are a fixed distance (called the radius) from a given point (called the center). Circles are used in many areas of mathematics and science, including geometry, trigonometry, and physics. They have important applications in areas such as engineering, architecture, and computer graphics.

Here,

To find the length of arc FH, we first need to find the measure of angle FGH in degrees. Since the sum of angles in a triangle is 180 degrees, we can use the fact that angles FGH and FGF are supplementary to find:

m∠FGF = 180 - m∠FGH = 180 - 86 = 94 degrees

Since FGF is an inscribed angle that intercepts arc FH, the measure of arc FH is twice the measure of angle FGF. So we have:

m(arc FH) = 2 × m∠FGF = 2 × 94 = 188 degrees

To find the length of arc FH, we need to know the circumference of circle G. Since we know that FG = 16 units, we can use this to find the radius of the circle:

r = FG/2 = 16/2 = 8 units

The circumference of the circle is then:

C = 2πr = 2π(8) = 16π

To find the length of arc FH, we need to find the fraction of the circumference that arc FH represents, and then multiply this by the total circumference. Since the measure of arc FH is 188 degrees out of a total of 360 degrees in the circle, we have:

Length of arc FH = (188/360) × C

Substituting the value of C, we get:

Length of arc FH = (188/360) × 16π

Simplifying and rounding to the nearest hundredth, we get:

Length of arc FH ≈ 8.37 units

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Answer:

FH=24.02

Step-by-step explanation: trust me

What is the quotient for the expression 2,314 divided by 4

Answers

Answer:

578.5

Step-by-step explanation:

A clerk earns $125 per day, plus a commission equal to
10% of her sales, s. The clerk earns less than $180 on
Monday
Enter an inequality that represents all possible values for
the clerk's sales, s, on Monday.

Answers

The inequality represents all possible values for the clerk's sales, s, on Monday is 0.1s + 125 < 180.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

A clerk earns $125 per day, plus a commission equal to 10% of her sales, s. The clerk earns less than $180 on Monday.

The total commission on her sales s = 10% x s

                                                           = 0.1s

The total money earn on monday = 0.1s + 125

The inequality represents all possible values for the clerk's sales, s, on Monday.

The clerk earns less than $180 on Monday.

0.1s + 125 < 180

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Which measure does not change when a wave moves from one medium to another?(1 point)

Answers

Answer:

The frequency and phase.

Step-by-step explanation:

The medium has no effect on the frequence or the phase.

The Tookesons want to trade in their station wagon on the purchase of a new station wagon. A used vehicle guide shows the average trade-in value is $9,480. They add $150 for air-conditioning, $75 for anti-lock brakes, and $150 for the CD player. They subtract $100 for a manual transmission and $300 for excessive mileage. What is the average trade-in value of their wagon?

Answers

Answer:

George Garcia wants to purchase a used station wagon. One used-vehicle guide shows the average retail value of the station wagon at $13,000. Add $50 for having ...

2 pages

Step-by-step explanation:

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