Чx" Чx - 6
How do I do this ?

Answer:

The width of a rectangle is: w = x+3

Step-by-step explanation:

Given

The length of rectangle = l = 4x

The area of rectangle = A = 4x² + 12x

To determine

The width of rectangle = w = ?

We know that the formula of the area of the rectangle is

[tex]A = wl[/tex]

substitute A = 4x² + 12x and l = 4x in the equation to determine the width w of the rectangle

4x² + 12x = w×4x

w = [4x² + 12x] / [4x]

Factor 4x² + 12x:   4x(x+3)

w = [ 4x(x+3) ] /  [4x]

w = x+3

Therefore, the width of a rectangle is: w = x+3

Answer:

Part A: 8b -12c -16

Part B: 4(2b - 3c -4)

Part C: 36

Step-by-step explanation:

Part A:

5b + 3c - 20 + 3b - 15c + 4

= 8b -12c -16

Part B:

Factorising 8b -12c -16

= 4(2b - 3c -4)

Part C:

= 4[2(2)-3(-3)-4)]

= 4[4+9-4]

= 4[9]

= 36

Answer:

97.94 is 83% of 118

Step-by-step explanation:

Let the missing number be x

97.94=83% of x

I.e, 97.94=83/100 × x

97.94=83x/100

Cross multipy 97.94/1=83x/100

We have, 97.94 × 100 = 83x × 1

9794=83x

Divide both sides by 83 to make x the subject of the formula.

9794/83=83x/83

118=x

Answer:

Douglas can race the go-karts at least 3 times.

Step-by-step explanation:

Given that:

Worth of game card = $20

Cost of go-kart = $3.50 each time

Amount Douglas wants to left = $7.75

Let,

x be the times Douglas can ride go-kart.

20 - 3.50x ≤ 7.75

-3.50x ≤ 7.75 - 20

-3.50x ≤ -12.25

3.50x ≤ 12.25

Dividing both sides by 3.50

[tex]\frac{3.50x}{3.50}\leq \frac{12.25}{3.50}\\x\leq 3.5[/tex]

Hence,

Douglas can race the go-karts at least 3 times.

Douglas should race 3 or fewer times to make sure he has at least $7.75 left on his card.

Given to us

Douglas bought a $20 game card at a game center.

The go-karts cost $3.50 each time you race.

Douglas wants to have at least $7.75 left on his card to play arcade games.

Assumption

Let's assume that Douglas races x number of times on go-kart.

As we know the total balance on the card is $20. And the cost of go-karts is $3.50 each time we race. Also, we need to save $7.75 on the card, therefore, Inequality can be written as,

$20 - ($3.5)x ≤ $7.75

$20 - ($3.5)x ≤ $7.75

[tex]20 - (3.5)x \leq 7.75\\\\-3.5x \leq 7.75-20\\\\-3.5x \leq -12.25\\\\x \leq \dfrac{-12.25}{-3.5}\\\\x \leq 3.5[/tex]

Hence, Douglas should race 3 or fewer times to make sure he has at least $7.75 left on his card.

Learn more about Inequality:

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Answer:

615.44 m²

Step-by-step explanation:

3.14(14)²= 615.44 m²

Answer:

153.9 m²

Step-by-step explanation:

A = πr2 Use the formula.

A = π(7)2 Substitute. Use 7 for r.

A ≈ 3.14 × 72 Substitute. Use 3.14 for π.

A ≈ 3.14 × 49 Evaluate the power.

A ≈ 153.9 Multiply.

The area of the circle is about 153.9 m².

Step-by-step explanation:

no pic available Hun xx try posting again

Answer:

4

Step-by-step explanation:

The value in a set which is most close to the middle of a range.

- 2x and 70 are equal, because they are vertical angles.

- 110 and 3x + 5 are equal, becasue they are vertical angles.

- so, the answer would be A.

-- this is because vertical angles are not supplementary so would not be equal to 180°

Answer:

FC = 27

QC = 18

Step-by-step explanation:

The centroid divides the median in which it stands into a ratio of 1:2

The longer length being twice of the shorter

So in this case, what we have is that ;

FC = FQ + QC

with QC twice FQ

so QC = 2(9) = 18

while;

FC = 18 + 9 = 27

Answer:

350

Step-by-step explanation:

7 x 10 to the 7th power is 70000000 and 2x 10 to the 5th power is 200000, if you divide them yo get 350.

The angular velocity of the ladybug is the same as the angular velocity of

the record.

Correct responses (approximate values):

a)  3.875 rad/s

b) 31 cm/s

c) 527 cm

The rate at which the record is spinning = 37 rpm

Location of the ladybug on the record = 8 cm from the center

a) The angular velocity of the ladybug is given as follows;

1 revolution = 2·π radians

1 minute = 60 seconds

Therefore;

[tex]Angular \ velocity, \ \omega = \dfrac{37 \times 2 \cdot \pi}{60 \, s} \approx \mathbf{ 3.875}[/tex]

b) Linear speed, v = Radius, r × Angular speed, ω

The radius with the ladybug rotates, r = 8 cm

Angular velocity of the ladybug = ω ≈ 3.875 rad/s

Therefore;

c) Distance, d = Speed, v × Time, t

After 17 seconds, we have;

Learn more about angular velocity here:

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Answer:

You have 3 + 2 + 2 which is the same as 7 on the other side.

Step-by-step explanation:

3 + 2 + 2 is 7

Answer:

x=2

Step-by-step explanation:

3+x+x=7

2x=4

x=2

Answer:

Step-by-step explanation:

for these type of problems:

65/100=0.65 this represents 1%

13/0.65=20

20% of 65 is 13

Answer:

x+3x=2+2

4x=4

x=1

Answer:

x = 1

Step-by-step explanation:

x - 2 = -3x + 2

you can do any one of these 4 steps first and still get the same answer:

a) subtract x from each side

b) add 2 to each side

c) add 3x to each side

d) subtract 2 from each side

after doing one of the above you will have a two-step equation and must undo addition or subtraction before undoing multiplication or division

Answer:

21a+77b

Step-by-step explanation:

7x3=21

7x11=77

Answer:

-x²+3x-8

Step-by-step explanation:

Given polynomials are :

f(x) = (x+2)²

p(x) = 7x−4

We need to find a simplified polynomial when f(x) is subtracted from p(x) i.e.

p(x) - f(x) = 7x−4 - (x+2)²

We know that, (a+b)² = a²+b²+2ab

So,

p(x) - f(x) = 7x−4 -(x²+2²+2(x)(2))

= 7x−4 -(x²+4+4x)

= 7x−4-x²-4-4x

= -x²+3x-8

Hence, the result will be -x²+3x-8.

Answer:

Step-by-step explanation:

we will use first the distributive property and multiply

45+ 5a<110

subtract 45 from both sides

5a<110-45

5a<65 we divide by 5

a<13

Answer:

Step-by-step explanation:

power raised to power, you multiply the exponents

=3^-4=1/3^4=1/81

Answer:

1/81

Step-by-step explanation:

3^2 = 9

9^-2 = 1/81

negative exponents move it to denominator

Answer:

sin(2*36.86989765) and get .96 or 24/25

7/25

Step-by-step explanation:

Start by solving for P

sinP=3/5

take the arcsin or sin^-1 and get

p=36.86989765

Then multiply by 2 and take the sin and get

sin(2*36.86989765) and get .96 or 24/25

Then take cos(2*36.86989765)=.28 or 7/25

Answer:

Steps below

Step-by-step explanation:

sin P = 3/5

cos p = √1 - sin² P = 4/5

sin 2P = 2 * sin P * cos P = 2 * 3/5 * 4/5 = 24/25

cos 2P = cos² P - sin² P = 16/25 - 9/25 = 7/25

Answer:

Step-by-step explanation

Answer:

The value of x is 9.

Step-by-step explanation:

Given that:

Side length of square = x+2

Perimeter of square = 44 cm

As all sides of a square are equal, therefore,

Perimeter of square = 4s

Putting all the values,

44 = 4(x+2)

44 = 4x+8

44-8 = 4x

36 = 4x

4x = 36

Dividing both sides by 4

[tex]\frac{4x}{4}=\frac{36}{4}\\x=9[/tex]

Hence,

The value of x is 9.

Answer:

i think its either that or (-5,-5)

Answer:

$48,629

Step-by-step explanation:

The computation of the salary amount that she earned in 30 years

here we applied the future value formula

As we know that

Future value = Present value × (1 + interest rate)^time period

= $34,000 × (1 + 1.2%)^30

= $34,000 × 1.012^30

= $48,629