Question is in the picture

Answer:

2x(7x - 3)(7x +3)

Step-by-step explanation:

Find common factors between the 2 numbers:

98x^3 - 18x

2x(49x^2 - 9)

now find what numbers multiplied together is 49, and find what numbers added together equals 0 and the product is 3, 7 times 7 is 49 and 3(-3) = 9 while 3 - 3 = 0 so:

2x(7x - 3)(7x +3)

Answer:

The number of scooters that need to be produced so that the average cost per scooter is $180 is 430 scooters.

Step-by-step explanation:

Note: This question is not properly structured/written. The question is therefore rewritten properly before answering the question as follows:

To manufacture scooters, the manufacturer has a fixed cost of $34,400 plus a variable cost of $100 per scooter. Find n, the number of scooters, that need to be produced so that the average cost per scooter is $180.

The explanation of the answer is now provided as follows:

The number of scooters can be calculated as follows:

Variable cost per scooter = $100

n = number of scooter = ?

Total variable cost = Variable cost per scooter * n = $100 * n = $100n

Total cost = Fixed cost + Total variable cost = $34,400 + $100n

Average cost per scooter = Total cost / n = $180 ................ (1)

Substituting the value for Total cost into equation (1) and solve for n, we have:

($34,400 + $100n) / n = $180

$34,400 + $100n = $180n

$34,400 = $180n - $100n

$34,400 = $80n

n = $34,400 / $80

n = 430

Therefore, the number of scooters that need to be produced so that the average cost per scooter is $180 is 430 scooters.

Answer:

9 months

Step-by-step explanation:

Given

Fabulous fitness charges a one-time fee of $90 and an additional $25 per month

let the number of months be x

and the total charges be y

y= 25x+90---------1

Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month

let the number of months be x

and the total charges be y

y= 32x+27------------2

Required

The value of x, that is the number of months

Step two:

Equating both equations we have

25x+90=32x+27

collect like terms

25x-32x=27-90

-7x=-63

7x=63

divide both sides by  7

x= 63/7

x= 9 months

Answer:

What…

Step-by-step explanation:

Answer:

x = -19/6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

2x + 10 = -4x - 9

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 11/3 does indeed equal 11/3.

∴ x = -19/6 is the solution to the equation.

Answer:

answer is A your welcome

Answer:

If the recipe is cut in half, 3/8 teaspoon of salt is needed.

Step-by-step explanation:

Since the recipe is cut in half, we need to find 1/2 of 3/4. This means we need to multiply 1/2 times 3/4. For the numerator, 1 times 3 equals 3. For the denominator, 2 times 4 equals 8. The fraction is 3/8.

Answer:

12

Step-by-step explanation:

just substitute the value in the equation

Answer:

The answer is 3⁴ or 81 :)

Answer:

13

Step-by-step explanation:

Add all of the numbers, and divide by the amount of numbers. In this instance, all four added together numbers is 52, and divided by 4 is 13. Hope this helps!

Answer:

The answer is 13.

Step-by-step explanation: In order to find the average in a set of numbers, you must add all numbers and divide them by the numbers of numbers which you have added.

For example for your problem, I added 12 + 4 +16 +20 and I got 52. Then count the numbers which u have added. There are 4 numbers I have added. Then divide that number by the total. So it would be 52/4 and once you divide, you have your answer!

Hope this helps!

As C is the mid-point of BD.

Therefore, BC=DC ...(i)

As AB ⊥ BD and ED ⊥ BD

So, ∠ABC= 90° and ∠EDC= 90°

Therefore, ∠ABC=∠EDC= 90° ...(ii)

As two line segments, AE and BD intersect at point C, so the vertically opposite angles are equal.

Therefore, ∠BCA=∠DCE ...(iii)

Now, in ΔABC and ΔEDC,

Angle, ∠BCA=∠DCE [ from equation (iii)]

Side, BC=DC [ from equation (i)]

Angle, ∠ABC=∠EDC [ from equation (ii)]

So, by ASA property of congruency, ΔABC and ΔEDC are congruent

Hence, ΔABC ≅ ΔEDC.

Answer:

Step-by-step explanation:

let

x = price of a sweatshirt

y = trice of sweatpants

three sweatshirts and two pairs of sweatpants for $85.50

3x + 2y = 85.50

three more sweatshirts and four more pairs of sweatpants for $123

3x + 4y = 123

by solving the system of equations

3x + 2y = 85.50

3x + 4y = 123

we find

x = $16

y = $18.75

Answer:

0.45 miles per minute and 6.75

Step-by-step explanation:

27/60=0.45<-- Miles per minute

0.45x15=6.75<--Miles in 15 minutes

Hope this helps pls give brainliest

Answer:

Step-by-step explanation:

3x + 4 = - 11

3x = - 11 - 4

3x = - 15

x = - 15/3

x = - 5

Answer:

x = -5

Step-by-step explanation:

3x + 4 = -11

Isolate 3x.

3x = -11 - 4

Evaluate.

3x = -15

Find x.

x = -15 ÷ 3

x = -5

[tex] \underline{\underline{\sf{ \color{purple}{Given :} }}} [/tex]

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

[tex] \underline{\underline{\sf{ \color{purple}{To\:Find :} }}} [/tex]

⠀ ⠀⠀ ⠀ ⠀⠀ ⠀

[tex]\underline{\underline{\sf{ \color{purple}{Solution :} }}}[/tex]

[tex]\underline{\tt{As\:we\:know\:that,}}[/tex]

[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = 2 \times Area \: of \: semicircle}}}[/tex]

[tex] : \: \implies \sf{Area \: of \: circle = 2 \times 77cm^{2} }[/tex]

[tex]: \: \implies \sf{Area \: of \: circle =154 \: {cm}^{2} }[/tex]

━━━━━━━━━━━━━━━━━━━━━

[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]

[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = \pi r^{2}}}}[/tex]

[tex] : \: \implies \sf{ 154 = \dfrac{22}{7} \times {r}^{2} }[/tex]

[tex] : \: \implies \sf{ 7 \times 7 = {r}^{2} }[/tex]

[tex] : \: \implies \sf{ 49 = {r}^{2} }[/tex]

[tex] : \: \implies \sf{ {r}^{2} = 49 }[/tex]

[tex] : \: \implies \sf{ {r} = \sqrt{ 49} }[/tex]

[tex] : \: \implies \sf{ {r} = { 7 cm} } [/tex]

━━━━━━━━━━━━━━━━━━━━━

[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]

[tex]\star\:{\boxed{\sf{\purple{Perimeter} = \pi r + 2r }}}[/tex]

[tex] : \: \implies \sf{ Perimeter = \dfrac{22}{7} \times 7 + 2 \times 7 }[/tex]

[tex] : \: \implies \sf{ Perimeter = 22 + 14 }[/tex]

[tex] : \: \implies \sf{ Perimeter = 36 }[/tex]

[tex]\sf \therefore \: perimeter \: of \: the \: circle \: is \: 36cm[/tex]

━━━━━━━━━━━━━━━━━━━━━

Answer:

Who has that name?

Step-by-step explanation:

What's the question i'm really curious lol

Answer:

False

Step-by-step explanation:

Answer: 1550

Step-by-step explanation:

Number of people to see the movie = 12400

Number of comedies = 2

Number of musical = 1

Number of action films = 5

The number of people that'll be be expected to choose a musical during an evening showtime will be:

= 1/8 × 12400

= 1550

Answer:

No solutions

Step-by-step explanation:

In this question, you would be solving for x.

Solve:

5 + 2(3 + 2x) = x + 3(x + 1)

Use the distributive property.

5 + 6 + 4x = x + 3x + 3

Combine like terms.

11 + 4x = 4x + 3

Subtract 4x from both sides.

11 = 3

Since we don't have an "x value", there are no solutions.

"No solutions" would be your answer.

Answer:

26

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

6 +6=12

12+3=15

15+2=17

17+4=21

Answer:

2. yes, the person is walking faster between 40 and 100 seconds

Step-by-step explanation:

I'm very sorry I don't know about the first one that's a little above my knowledge level :(

Answer:

36 dollars

Step-by-step explanation:

this is basic math just use multiplication i think u typed the problem whrong

Answer:

$16 for 4 sandwiches

Step-by-step explanation:

The answer is 16 because 12 divided by 3 is 4, and 4 multiplied by 4 is 16.

P.S Can I have brainliest?

Answer:

A. x = 3, y = 2

Step-by-step explanation:

The hypotenuse and the length of one leg of one right triangle must be equal to the hypotenuse and corresponding length of the one leg of the other ∆ for both triangles to be equal by the HL Congruence Theorem.

Thus, let's find x and y by setting the corresponding lengths of the two right ∆s equal to each other.

Therefore:

x = y + 1 ----› eqn. 1

2x + 3 = 3y + 3 ----› eqn. 2

Substitute x = (y + 1) into eqn. 2, and solve for y.

2x + 3 = 3y + 3 ----› eqn. 2

2(y + 1) + 3 = 3y + 3

2y + 2 + 3 = 3y + 3

2y + 5 = 3y + 3

Collect like terms

2y - 3y = -5 + 3

-y = -2

Divide both sides by -1

y = 2

Substitute y = 2 into eqn. 1.

x = y + 1 ----› eqn. 1

x = 2 + 1

x = 3

Answer:

11.020

Step-by-step explanation:

vol of l.supe = k(lochness)

88.21 * 10^10 = k( 7.45 * 10^9)

divide and k =11.020

in fraction = 1642/149

Answer:

25 metres per second

Step-by-step explanation:

just divide 100 by 4 and you will get the answer.☺️☺️

Answer:

25 m/s

Step-by-step explanation:

train a travels at 12.5 m/s and will arrive at 100m in 7s.

train b arrives at the same distance, 100m, in 4s. so that means train b is going at 100m/4s and then simplify that

therefore train b is moving at 25m/s

10

Step-by-step explanation:

24*5=12*10

120=120