What is an algebraic expression for each word phrase? a. 11 more than twice a number x b. 2 less than the quotient of 5 and a number x c. The product of 4 and the sum of a number x and 8

Answer:

9

Step-by-step explanation:

Rotational symmetry is when a shape has the same orientation after being rotated.

For example, an equilateral triangle rotated 120° will line back up with itself.  A square rotated 90° will also return to its original orientation.  Same with a pentagon rotated 72°.

Basically, an n-gon rotated by a multiple of 360°/n will return to its original position.

θ = k 360°/n

For the first rotation:

160° = k 360°/n

160 / 360 = k / n

4/9 = k/n

For the second rotation:

120° = k 360°/n

120 / 360 = k / n

1/3 = k/n

For the third rotation:

80° = k 360°/n

80 / 360 = k / n

2/9 = k/n

For the fourth rotation:

280° = k 360°/n

280 / 360 = k / n

7/9 = k/n

The total rotation angle is -160°.

160 = k 360/n

160 / 360 = k / n

4/9 = k/n

Comparing the denominators, n must be the smallest multiple of 3 and 9.  Therefore, n = 9.

Answer:

R,732

Step-by-step explanation:

Answer:

64.51

Step-by-step explanation:

6000 divided by 93 = 64.51

Answer:

64.51 :D

No explanation- heh-

Answer:

Top right.

Step-by-step explanation:

So we want a line with a slope of 3 and passes through (2,5).

To do so, we can use the point-slope form.

The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

m is the slope and x₁ and y₁ is an ordered pair.

Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:

[tex]y-5=3(x-2)[/tex]

Our answer is the top right :)

Answer:

Answer:

Top right.

Step-by-step explanation:

So we want a line with a slope of 3 and passes through (2,5).

To do so, we can use the point-slope form.

The point-slope form is:

m is the slope and x₁ and y₁ is an ordered pair.

Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:

Our answer is the top right :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well you can calculate the area of the base side by the integration of cos - sin x over the limits x = 0 and x = π/6.

Then I think one side of the square  would be cos π/6 - sin  π/6.

So I think the required volume  can be worked out as area of base * length of a side of the square.

I think that,s the way to do it, if i have interpreted the question correctly.

Answer:

y/( 3b-7)=x

Step-by-step explanation:

y=3bx-7x

Factor out x

y=(3b-7)x

Divide each side by (3b-7)

y/( 3b-7)=(3b-7)x/ ( 3b-7)

y/( 3b-7)=x

Answer:

[tex]\huge \boxed{x= \frac{y}{3b-7} }[/tex]

Step-by-step explanation:

[tex]\sf y=3bx-7x[/tex]

Factor out x from the expression.

[tex]\sf y=x(3b-7)[/tex]

Divide both sides by (3b - 7).

[tex]\sf \displaystyle \frac{y}{3b-7} =x[/tex]

Answer:

7

Step-by-step explanation:

5^2 = 5 x 5 = 25

3 x 6 is 18

25 - 18 is 7

also, use PEMDAS

Answer:

The answer is 7.

5^2-3×6.

25-18=7.

Answer:

Step-by-step explanation:

Given the amount of water in millilitres to be 10 ml

Time taken for the water to flow = 8.5 seconds

Rate of flow in ml/sec = amount of water (in ml)/Time taken(in secs)

Rate of flow in ml/sec = 10ml/8.5scs

To express the resulting value in litres per minute, we will use the following conversion:

1 millilitre = 10⁻³litres

60secs = 1 minute

Converting 10ml to litres:

If 1 millilitre = 10⁻³litres

10 millilitres = (10*10⁻³)litres

Converting 8.5secs to minute:

If 60secs = 1 minute

8.5secs = (8.5/60)minutes

8.5secs = 0.1417 minutes

10ml/8.5scs in litre/sec:

10ml/8.5scs = (10*10⁻³)litres/0.1417 minutes

10ml/8.5scs  = (0.01/0.147)litres/min

10ml/8.5scs  = 0.07litres/minute (to the nearest hundredth)

Hence the rate of flow in liters per minute to the nearest hundredth is 0.07litres per minute.

Answer:

x=4

Step-by-step explanation:

22 = 18 + x

Subtract 18 from each side

22-18 = 18-18 + x

4 =x

Answer:

15

Step-by-step explanation:

Answer:

It's 64 degrees

Step-by-step explanation:

multiply the temperature in degrees Celsius by 2 then add 30 to get the estimated temperature

Answer:

1, 3, 7

Step-by-step explanation:

A rational number can be written as a ratio or fraction.

1) I wasn't able to determine a fraction for what I'm assuming you meant by 0.878787878787 going on and on so it must be irrational

2) 3.624 can be written as 3 78/125

3) The square root of two is irrational

4) 0.6666666 going on and on can be written as 1/3

5) -5.6 can be written as a fraction too

6) 1/3 is already a fraction

7) Pi is irrational

Hope that helps!

Answer:

Step-by-step explanation:

Let the present age be X

Let the later be Y

5/8 of x + 5/6 of y

= 5/8+5/6= 35/24

Answer:

3.79 liters

Step-by-step explanation:

2 quarts equals 1.89 so 2×2 = 3.79

My answer is a Cartesian Coordinate System.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{105°}}}}}[/tex]

Step-by-step explanation:

Given, < 2 = 105°

To find : < 1

When two lines interest the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles are always equal to each other.

So,

<1 = 105 °

Hope I helped!

Best regards!

Answer:

[tex]\Huge \boxed{\angle 1 = 105 \° }[/tex]

Step-by-step explanation:

[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are vertical angles.

[tex]\angle 2= 105 \°[/tex]

Vertical angles are equal in measure.

[tex]\angle 1= \angle 2[/tex]

[tex]\angle 1= 105 \°[/tex]

Answer:

Eight X plus sixty equals one hundred fifty-six

Answer:V x 80 = 36      Original value is $0.45

Step-by-step explanation:  V is the original value and your x it by 80

Answer:

3. 25ac

Step-by-step explanation:

[tex]a\cdot c\cdot \:5\cdot \:5\\=25ac[/tex]

Answer:

600,000

Step-by-step explanation:

When rounding to the nearest 100,000 if it's X50,000 you round up 1 for the X, if it's X49,999 or less you keep the X as is.

229,275 rounding to the hundred thousand would be 200,000

115,368 would be 100,000

344,633 would be 300,000

so 200,000+100,000+300,000 = 600,000

Answer:

all not negative

Step-by-step explanation:

every one not negative is a ratio

Answer:

Move up one half and right two.

Step-by-step explanation:

trust

Answer:

move on up one and right two

Step-by-step explanation:

Answer:

A) $27.22 + $0.15x = $30.97

Step-by-step explanation:

Answer:

The answer would be  A. $0.15x + $27.22 = $30.97

Step-by-step explanation:

Answer:

8.6615988

Step-by-step explanation:

f(x) = 3 sin (x) / ( 1 + cos x)

To find the derivative   bottom * d/ dx top  - top d/dx bottom  all over the bottom squared

d/dx = 3 ( ( 1 + cos x)  cos x - sin x( - sin x))   / ( 1 + cos x) ^2

         = 3 ( cos x + cos ^2 x + sin ^2 x)   / ( 1 + cos x) ^2

         = 3 ( 1 + cos  x) /  ( 1 + cos x) ^2

         = 3 / ( 1 + cos x)

Let x = 4

3  /  ( 1 + cos 4)

Assuming x is in radians

3/.346356

8.6615988

Answer: integer's are whole  numbers so a fraction,decimal and negitive numbers aren't integer's

Step-by-step explanation:

Answer:

Mary: £20

Tom: £16

Step-by-step explanation:

Let x=the number of £ Mary has and y=number of £ Tom has.

x+y=36  ==>x=36-y

x/2+2y=42 ==> x+4y=84

36-y+4y=84

36+3y=84

3y=48

y=16

x+y=36, so x+16=36, so x=20

Answer:

One taco costs $3.75.

Step-by-step explanation:

Let x = cost of taco

You order 2 tacos: 2x

You add a salad: 2x + 2.5

You pay 8% sales tax on 2x + 2.5, so you pay 1.08(2x + 2.5)

You leave a $3 tip, so the total you pay is: 1.08(2x + 2.5) + 3

The total you pay is $13.80

1.08(2x + 2.5) + 3 = 13.80

Subtract 3 from both sides.

1.08(2x + 2.5) = 10.8

Divide both sides by 1.08

2x + 2.5 = 10

Subtract 2.5 from both sides.

2x = 7.5

x = 3.75

One taco costs $3.75.

[tex]v = \pi \times {r}^{2} \times h[/tex]

[tex]v = \pi \times 49 \times 18[/tex]

[tex]v = 2770.88[/tex]

Answer:

Step-by-step explanation:

Given the interval for the measurement to be  60 m ± 4.5%, the posible range of each measurement is expressed as shown;

60 m ± 4.5% =  60 m ± 4.5/100

=  60 m ± 0.045

= (60 - 0.045, 60+0.045)

= (59.955, 60.045)

Hence possible range of each measurement to the nearest tenth is (60.0m≤60.1m)

Answer:

The probability is 0.044

Step-by-step explanation:

Let p be the probability that the new principal’s performance is approved.

This is obtainable from the survey and it is 8/10 = 0.8

Let q be the probability that the new principal’s performance is disproved.

That will be;

1 - q = 1- 0.8 = 0.2

To calculate the probability that 14 parents names are chosen at random and they all

approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.

That will be;

14C14 * p^14 * q^0

= 1 * 0.8^14 * 0.2^0

= 0.043980465111 which is approximately 0.044