what are the excluded values of the fraction x+6/4x

Answer:

5 scarves

Step-by-step explanation:

8x5=40

We are given:

Money on the fifth day (a₅) = $80

Money on day 21 (a₂₁) = $160

To Find:

Money in the bank on the first day (a₁) = ?

Money being added to the account per day (d) = ?

Money in the bank on day 30 (a₃₀) = ?

__________________________________________________________

Finding the money on day one and the money added:

Solving for equations

Since we are adding a constant amount to our account every day, the amount of money in the bank can be represented by an AP

We know that the formula for the nth term of an AP is:

aₙ = a₁ + (n-1)d

So, we can write the amount of money on day 5 as:

a₅ = a₁ + (5-1)d

a₅ = a₁ + 4d

80 = a₁+  4d                        [We are given that a₅ = 80]

We are also given the amount of money on day 21:

a₂₁ = $160

Money on day 21 can be rewritten as:

a₂₁ = a₁ + (21-1)d

160 = a₁ + 20d                  [Since a₂₁ = 160]

Solving the equations:

Now we have 2 equations. We will now solve them to get the values of a₁ and d

160 = a₁ + 20d ----------------------(1)

80 = a₁ + 4d--------------------------(2)

From equation (2), we can say that:

a₁ = 80 - 4d              [subtracting 4d from both sides]

Now, we will use this value of a₁ in the equation (1):

160 = a₁ + 20d

160 = (80-4d) + 20d

160 = 80 + 16d

80 = 16d             [subtracting 80 from both sides]

d = 5                   [dividing both sides by 16]

Now that we know the value of d, we can use it in any of the 2 equations:

80 = a₁ + 4d

80 = a₁ + 4(5)              [since d=5]

80 = a₁ + 20

a₁ = 60                        [subtracting 20 from both sides]

Now, we know the values of the initial amount of money and the money added to the account everyday

Initial money in the bank = $60

Money added everyday = $5

__________________________________________________________

Money in day 30:

We will use the AP formula to find the value of money on day 30

a₃₀ = a₁ + (30-1)d

We know that a₁ = $60 , d = $5

a₃₀ = 60 + 29(5)

a₃₀ = 60 + 145

a₃₀ = $205

Money on day 30 = $205

Answer:

started with $55

adds $5 each day

$205 on the 30th day

Step-by-step explanation:

21-5 = 16

160-80 = 80

80 divided by 16 = 5

5 * 5 = 25

80 - 25 = 55

9 * 5 = 45

160 + 45 = 205

Answer: y = x - 5

Step-by-step explanation: hope this helps! :)

Answer:

x = 6, y = -113

Step-by-step explanation:

10x - y = 53 --- Equation 1

y = [tex]\frac{-13x+92}{2}[/tex] --- Equation 2

I will be using the substitution method.

Substitute y = [tex]\frac{-13x+92}{2}[/tex] into Equation 1:

10x - y = 53

10x - ([tex]\frac{-13x+92}{2}[/tex]) = 53

I want to make the denominators on the left side of the equation the same, so I will multiply 10x by 2 so that I can get a fraction.

[tex]\frac{20x}{2}[/tex] - ([tex]\frac{-13x+92}{2}[/tex]) = 53

Now that their denominators are both 2, I can combine the numerators under the same denominator.

[tex]\frac{20x-(-13x+92)}{2}[/tex] = 53

Two minuses, one outside a bracket and one inside makes a plus. One plus and one minus make a minus.

[tex]\frac{20x+13x-92}{2}[/tex] = 53

Evaluate like terms.

[tex]\frac{33x-92}{2}[/tex] = 53

Shift the (÷2) over to the right side and turn into (×2).

33x - 92 = 53 × 2

               = 106

Shift the (-92) over to the right side and turn into (+92).

33x = 106 + 92

      = 198

Find x.

x = 198 ÷ 33

x = 6

Substitute x = 6 into Equation 1:

10x - y = 53

10(-6) - y = 53

Evaluate.

-60 - y = 53

Shift the (-60) over to the right side and turn into (+60).

-y = 53 + 60

   = 113

Find y.

y = -113

Answer:

y= 1/3x -6

Step-by-step explanation:

you just have to plug the given values into the slope intercept formula:

y = mx +b

where M is the slope and B is the y-intercept

Answer:

y = 1/3x - 6

Step-by-step explanation:

Answer: 41 degrees

Step-by-step explanation:

so, we know that a triangle is 180 degrees. since we know that one angle is 80 degrees, we can subtract that from the equation. now, we are trying to find what X is so that we can find the angle. here is how i did it:

i rewrote it and removed the parentheses.

4x + 1 + 4x + 19 = 100

then, i collected like terms and calculated it.

8x + 20 = 100

then, i moved the constant to the right.

8x = 100 - 20

then, i simply calculated it.

8x = 10

solution: x = 10

so, we just insert X into the angle for A. that gets us 4(10) + 1 = angle A

40 + 1 = angle A, hence angle A = 41 degrees.

Answer:

its is (b) turns the oven on

Answer:

D

Step-by-step explanation:

I did the test

Answer:

Line BD⊥ Line AC

ΔDMC ≅ ΔDMA

Answer:

Option A and Option C

Step-by-step explanation:

Given:

IJ ≅ LM

∠J ≅ ∠M

To Prove:

ΔHIJ ≅ ΔKLM

              Statements                           Reasons

1). IJ ≅ LM                               1). Given

2). ∠J = m∠M                          2). Given

3). ΔHIJ ≅ ΔKLM                    3). By HA property Or AAS property of

                                                    congruence

Therefore, Option A and Option C are the correct options.

Answer: the train traveled 43km southwards

Step-by-step explanation:

First, let's define.

North as the positive y-axis.

East as the positive x-axis.

And the initial position of the train is (0, 0).

Now, we know that:

"A train first travels east for 20 kilometers."

The new position will be:

(0, 0) + (20km, 0) = (20km , 0)

"Then it turns north and travels for 43 kilometers."

The new position will be:

(20km, 0) + (0, 43km) = (20km, 43km)

"Next it goes west for 20 kilometers."

If East if the positive x-axis, then West is the negative x-axis.

The new position of the train will be:

(20km, 43km) + (-20km, 0) = (0, 43km)

Then it travels south for an unknown number of kilometers, such that the final position is the same as the initial position, then if the train goes X kilometers to the south (and because North is the positive y-axis, South will be the negative y-axis), we have:

(0, 43km) + (0, -X) = (0, 0)

(0, 43km - X) = (0, 0)

Then we must have that:

43km - X = 0

43km = X

This means that the train traveled 43km southwards.

Answer:

Y

Step-by-step explanation:

Look at Y and look at the input and output it shows which one is it and how to find it you welcome :)

Answer:

no what you mean by 218√

Step-by-step explanation:

there has to be a 90 degree angle for it to be a right triangle

Answer:

1

Step-by-step explanation:

Answer:

B .  She is incorrect because when substituting 2 for m the result was a false statement.

Step-by-step explanation:

Edge. 2020

Answer:

B

Step-by-step explanation:

Answer:

7 feet long

Step-by-step explanation:

This set up will give a right angle triangle where;

Length of the ladder is the hypotenuse = x

The distance of the ladder to the house is the adjacent = 3 feet

Angle of elevation theta = 72 degrees

Using the CAH in trigonometry identity;

cos theta = adjacent/hypotenuse

cos 72 = 3/hyp

hyp = 3/cos72

hyp = 3/0.4258

hyp = 7.05 feet

Hence the ladder is approximately 7 feet long

8. x= 7

9. x= 9

10. x= -10

11. x= -18

Answer:

its 12

Step-by-step explanation:

plz mark as brainliest

Answer:

3/4c so it has to be A im sure .

Answer:

Graph

Step-by-step explanation:

Answer:

can u inlcieh a pic

Step-by-step explanation:

Answer:

On day 26, both girls should be on page 60.

Step-by-step explanation:

Answer:

third option

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence, that is

d = - 13 - (- 10) = - 16 - (- 13) = - 3

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 10 and d = - 3, then

[tex]a_{n}[/tex] = - 10 - 3(n - 1) = - 10 - 3n + 3 = - 7 - 3n

Thus the sum of the first 6 terms is represented by

∑ - 7 - 3n ( for n = 1 to 6 )

Answer:

21 Students

Step-by-step explanation:

7:3

7*7=49

3*7=21

49:21

Answer:

you need to add the graph

Answer:

no graf

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Showing the work:

= -2-(-7)

= -2--7

= -2+7

= 5

Answer:

5

Step-by-step explanation:

the answer is up at the top

Answer:

x =2 [tex]\\\sqrt{24[/tex]

Step-by-step explanation:

a2+b2=c2

(10*10)+(8*8)=x

Step-by-step explanation:

-3^2 / 9^6

-3^2 / 3^2

(9 divided by 3 = 3 and 6 divided by 3 = 2)

It would now be -1 because a negative divided by a positive gives a negative.

Answer:

X: 1  5  2

Y: 4  8  5

Step-by-step explanation:

Given

[tex]Rule: y = x + 3[/tex]

X: ?  ?  ?

Y: 4  8  5

Required

Fill in the ?'s

We have that:

[tex]y = x + 3[/tex]

When y = 4; the rule becomes

[tex]4 = x + 3[/tex]

Subtract 3 from both sides

[tex]1 =x[/tex]

[tex]x =1[/tex]

When y = 8; the rule becomes

[tex]8 = x + 3[/tex]

Subtract 3 from both sides

[tex]5= x[/tex]

[tex]x =5[/tex]

When y = 5; the rule becomes

[tex]5 = x + 3[/tex]

Subtract 3 from both sides

[tex]2 = x[/tex]

[tex]x = 2[/tex]

So, the complete table is:

X: 1  5  2

Y: 4  8  5

Answer:

-8/3

Step-by-step explanation:

8x + 3y = - 9

Let's make y the subject of the formula.

y = - 9/3 - 8x/3

Rearrange

y = - 8x/3 - 3

The slope is the coefficient of x which is - 8/3

If you don't understand, please leave a comment

Please gimme brainliest