solve 4/6 + 1/3

options:
6/6 or 1
7/6
5/3
12/6 or 2

Answer:

Step-by-step explanation

- 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:

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:

4

Step-by-step explanation:

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

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:

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:

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:

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

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.

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:

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:

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.

Answer:

21a+77b

Step-by-step explanation:

7x3=21

7x11=77

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.

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:

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:

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:

$28

Step-by-step explanation:

9 tho cars is $14 and 9x2 is 18 so you would do 14x2 which is 28

Answer:

c = 40 + 0.79m

Step-by-step explanation:

The base cost is $40.

So we have:

c = 40

Then, since an additional $0.79 is charged for every mile driven, we add:

+ 0.79m

So then our equation is:

c = 40 + 0.79m

where c = total cost

and m = number of miles driven

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:

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:

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