Which statement describes the solutions of this equation?
I + 2
. 2 + = 1
OA.
The equation has two valid solutions and no extraneous solutions,
OB.
The equation has no valid solutions and two extraneous solutions.
O C.
The equation has one valid solution and no extraneous solutions.
OD.
The equation has one valid solution and one extraneous solution.

Answer:

The first one is y = 8 and the second one is y = 4.

Step-by-step explanation:

You plug the numbers in for x and then solve the equations.

Answer: 30

Step-by-step explanation:

answer:

p=2(l+w)

150=2.5+w

150=10w

150/10=w

15=w

Answer:

A

Step-by-step explanation:

Because, you can increase or decrease the number of worker for each table but number of tables will be the same

Answer:

C the person above me is incorrect.

AStep-by-step explanation:

Answer:

A=81

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

36/4=9

9*9=81

Answer:

[tex]\dfrac{48}{4}=12[/tex]

Step-by-step explanation:

Given that:

Dylan plays basketball.

In the season, he scored 48 points in total in the first four games of the season.

To find:

The equation to represent the average number of points scored per game.

Solution:

Average is the term used to find one number which can be used to represent a list.

It is usually the mid value.

Average can be found by using the following formula:

[tex]\text{Average =} \dfrac{\text{Sum of all the observations}}{\text{Number of observations}}[/tex]

Here, Sum of all the observations is the total score which is given as 48.

Number of observation is nothing but the number of games which is given as 4.

Therefore, the equation to find the average can be written as:

[tex]Average = \dfrac{48}{4}\\ \Rightarrow \bold{Average = 12}[/tex]

The answer is 2(x+3)

hope it helps!

Answer:

2x + 6

Step-by-step explanation:

2(x +3)

2x +6

multiply x by 2=2x

multiply 3×2=6

2x +6

Answer:

A, C, E

Step-by-step explanation:

0.6 + 15b + 4 = 25.6

Let's solve the original equation for b.

15b + 4.6 = 25.6

15b = 21

b = 21/15 = 7/5

A.

15b + 4 = 25

15b = 21

b = 21/15 = 7/5

Equivalent

B.

15b + 4 = 25.6

0.6 was subtracted from the left side but not from the right side of the original equation.

Not equivalent

C.

3(0.6 + 15b + 4) = 76.8

Since 76.8 = 3 * 25.6, this equation was obtained by multiplying both sides of the original equation by 3.

Equivalent

D.

15b = 25.6

4.6 was subtracted from the left side of the original equation, but not from the right side.

Not equivalent

E.

15b = 21

b = 21/15 = 7/5

Equivalent

Answer: A, C, E

1) The quotient is 6.

2) The quotient is 9/10.

Hope it helps!

Answer: 2/4

Step-by-step explanation: You would have to subtract it

Answer:

Step-by-step explanation:

in a right triangle a^2+b^2=c^2,

where a and b are the legs

where c is the hypothenuse

9^2= b^2+3^2

81-9=b^2

b^2=72

b=8.48

Answer:

Step-by-step explanation:

Givens

a = ?

b = 3

c = 9

Formula

a^2 + b^2 = c^2

Solution

a^2 + 3^2 = 9^2

a^2 + 9 = 81

a^2 = 81 - 9

a^2 = 72

Now the tricky part. Are you required to give the exact answer which is

a = √72 = 6√2

or should you give

a = √72 = 8.49

Answer:

$2,000

Step-by-step explanation:

Let the amount of money they want to raise be $20,000.

We are going to look for 10% of $20000 as shown:

10% of 20,000 = 10/100 * 20,000

= 0.1 * 20,000

= 2,000

Hence the 10% of the money they want to raise is $2,000

Note the the money the amount of money they want to raise was assumed.

Answer:

Step-by-step explanation:

From the question given in the picture,

a). Since, NR bisects a straight angle ∠MNP,

  ∠MNR ≅ ∠PNR

  m∠MNR + m∠PNR = 180°

  2(m∠MNR) = 180°

  m∠MNR = 90°

  Therefore, ∠MNR and ∠PNR are the right angles.

  Since, QN divides ∠MNR in two parts,

  Therefore, ∠QNR will be an acute angle (less than 90°).

  ∠MNR + ∠SNR = ∠MNS

  90° + ∠SNR = ∠MNS

  Therefore, m∠MNS will be more than 90°.

    ∠MNS will be an obtuse angle (greater than 90°).

(b). Since, NR divides ∠MNP and ∠QNS,

    ∠MNR ≅ ∠PNR

     ∠QNR ≅ ∠SNR

     ∠MNQ ≅ ∠PNS

(c). m∠MNR = 90°

     Since, NR bisects ∠QNS,

     ∠QNR ≅ ∠RNS

     m∠QNR = m∠RNS = 30°

     m∠QNR + m∠RNS = 30° + 30°

     m∠QNR + m∠RNS = 60°

     m∠QNS = 60° [Since, m∠QNS = m∠QNR + m∠RNS]

     m∠QNP = m∠QNS + m∠SNP

     m∠QNP = m∠QNS + (m∠PNR - m∠SNR)

     m∠QNP = 60° + (90° - 30°) = 120°        

Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.

So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 98 dollars.

The solution would still clear your concept though.

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the function

c(x) = 18x -10

comparing with the slope-intercept form of the line equation

According to the function equation,

Assuming the total cost i.e. c(x) = $98

In order to determine the value of x, set c(x) = 98

i.e.

98 = 18x -10

switch sides

18x - 10 = 98

add 10 to both sides

18x - 10 + 10 = 98 + 10

18x = 108

Divide 18 to both sides

18x/18 = 108/18

x = 6

Therefore, if you can buy x = 6 if you pay 98 dollars.

1.33/50

2.1 2/25

3.1 21/100

4.13/25

5.1 71/100

6.97/100

Answer:

5=2x-6.5 +6.5

11.5=2x ÷2

5.75=x

Step-by-step explanation:

prove me wrong

Answer:

x = 3.5

Step-by-step explanation:

step 1:  add 6.5 to each side;  7 = 2x

step 2: divide each side by 2

x = 7/2 or 3.5

Cost - 500

Marked Up - 250

Margin - 71.4286

MxCxMA= $1,750

This may seem confusing, but its $1,750 for the new price, and the equation is:

M= Marked

C= Cost

MA= Margin

The new price of the television is $1750.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

A television that costs $500 is marked up 250%.

So, the new price is

= 500 + 250% of 500

= 500 + 250/100 x 500

= 500 + 1250

= $1750

Hence, the new price of the television is $1750.

Learn more about Percentage here:

https://brainly.com/question/29306119

#SPJ6

Answer:

In order to graph y=%284%2F5%29%2Ax-7 we only need to plug in two points to draw the line

So lets plug in some points

Plug in x=0

y=%284%2F5%29%2A%280%29-7

y=0%2F5-7 Multiply

y=-35%2F5 Add

y=-7 Reduce

So here's one point (0,-7)

Now lets find another point

Plug in x=5

y=%284%2F5%29%2A%285%29-7

y=20%2F5-7 Multiply

y=-15%2F5 Add

y=-3 Reduce

So here's another point (5,-3). Add this to our graph

Now draw a line through these points

So this is the graph of y=%284%2F5%29%2Ax-7 through the points (0,-7) and (5,-3)

So from the graph we can see that the slope is 4%2F5 (which tells us that in order to go from point to point we have to start at one point and go up 4 units and to the right 5 units to get to the next point) the y-intercept is (0,-7)and the x-intercept is (8.75,0) ,or (35%2F4,0)

We could graph this equation another way. Since b=-7 this tells us that the y-intercept (the point where the graph intersects with the y-axis) is (0,-7).

So we have one point (0,-7)

Step-by-step explanation:

Answer:

Range: [-7, 2]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, the line's y-values span from -7 to 2. Since both are closed dot, they are inclusive in the range:

[-7, 2] or -7 ≤ y ≤ 2

I ran out of time and it erased my work. Sorry.

Answer:

5.5 min

Step-by-step explanation:

At time t=0 you have 72 grams

at time t = 22 min you have 4.5 grams.

Now

4.5/72 = (1/2)^(t/half-life)

and t=22, so

4.5/72 = (1/2)^(22/half-life)

taking log of both sides:

log(4.5/72)=(22/half-life)log(1/2)

solving for half-life gives half-life = 11/2 = 5.5min

Answer:

400

Step-by-step explanation:

8 x 50 = 400

Answer:

400 files

Step-by-step explanation:

If each folder has 50 files, you would multiply the number of folders by the number of files. So it would be 50 x 8 which equals 400 files.

Answer:

C. 19a + 11b

Step-by-step explanation:

Distribute into the parentheses.

3(5a + b) + 4(a + 2b)

= 15a + 3b + 4a + 8b

Add like terms.

15a + 3b + 4a + 8b

19a + 3b + 8b

= 19a + 11b

Hope that helps.

Hey there!

“Simplify 3(5a + b) + 4(a + 2b)”

FIRST you have to DISTRIBUTE

3(5a + b) + 4(a + 2b)

3(5a) + 3(b) + 4(a) + 4(2b)

3(5a) = 15a

3(b) = 3b

4(a) = 4a

4(2b) = 8b

“15a + 3b + 4a + 8b”

SECOND: COMBINE your LIKE TERMS

(3b + 8b) + (15a + 4a)

(3b + 8b) = 11b ⬅️ BACK number

(15a + 4a) = 19a ⬅️ FRONT number

ALL OF YOUR TERMS/NUMBERS ARE POSITIVE SO WE DON’T HAVE TO FIX ANYTHING

Answer: C. 19a + 11b ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

(0, 4)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, the line passes the y-axis at y = 4. Therefore, our y-intercept is (0, 4).

Answer:

Find the circumference of a circle with radius, r = 3.5m.

2x3.5xpi = 7pi is answer

Answer:

pen = $1.20,  pencil = $0.50

Step-by-step explanation:

let x = pen

let y = pencil

create system of equations:

3x + 6y = 6.60        [can be simplified to be x + 2y = 2.20]

5x + 8y = 10.00

substitution method:

x = 2.2 - 2y

5(2.2 - 2y) + 8y = 10

11 - 10y + 8y = 10

-2y = -1

y = 1/2

solve for 'x':

3x + 6(1/2) = 6.6

3x + 3 = 6.6

3x = 3.6

x = 1.2

Answer:b

Step-by-step explanation: