how do you divde fractions with whole numbers with gemdas

Answer:

8(a+4)=8a+32

Step-by-step explanation:

Use the distributive property.

Answer:

D

Step-by-step explanation:

Midpoint Formula:

[tex]\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}[/tex]

[tex]\frac{3+1}{2}[/tex] ⇒ [tex]\frac{4}{2}[/tex] ⇒ [tex]2[/tex]

[tex]\frac{8+-4}{2}[/tex] ⇒ [tex]\frac{8-4}{2}[/tex] ⇒ [tex]\frac{4}{2}[/tex] ⇒[tex]2[/tex]

[tex](2,2)[/tex]

Answer:

D

Step-by-step explanation:

I hope this help

9514 1404 393

Answer:

  [tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]

Step-by-step explanation:

If we place the bottom center at the origin and make the sides of the triangle 2 units, then the right side can be described by the equation ...

  y = √3(1 -x)

and the terminal side of the angle α can be described by ...

  y = tan(α)·x

We want the height of the shaded area, which is the y-coordinate of the point of intersection of these two lines.

  y = √3(1 -y/tan(α)) . . . . substituting for x

  y = √3·tan(α)/(√3 +tan(α)) . . . . solved for y

Since we have defined the base of the shaded area to be 1, the shaded area is half this value, or ...

  A(α) = (√3/2)tan(α)/(√3 +tan(α))

Further manipulation can put this in the form ...

  A(α) = (√3/4)sin(α)/sin(α+π/3) . . . . for α ≤ π/2, side length 2

__

For α > π/2, we need to subtract the area A(π-α) from the area of the whole triangle. This gives an area (after some rearranging) of ...

  A(α) = √3(1 -sin(α)/(4·sin(α-π/3))) . . . . for α > π/2, side length 2

__

The problem statement defines the triangle as having a side length of 'a', so the final area formula will be a factor of (a/2)² times the above expressions. That is ...

  [tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]

_____

The graph (second attachment) shows the area as a function of α (in degrees) for a unit triangle. There are inflection points in the curve at 30°, 90°, and 150°

Answer:

$7.56

Step-by-step explanation:

$7(.08) = .56 in tax

$7 item cost + .56 in tax

Answer:

The answer is 48 miles.

My Logic

If you divide 264 into 11, then you will get 24. 24 is the cars MPG. Then you can Multiply 24 by 2 and you get the answer. Hope this is helpful!

Answer:

Step-by-step explanation:

f(x)/g(x) = (x+6)/[(x+6)(x-6)]

Cancel (x+6)

Answer is 1/(x-6)

Answer:

1) 3x = 2x + 50

3x - 2x = 50

X= 50

2)6x = 2x + 44

6x - 2x = 44

4x = 44

divide both sides by 4

X = 11

3)8x = 2x + 36

8x - 2x = 36

4x = 36

divide both sides by 4

X = 9

4) 4x = X + 18

4x - X = 18

3x = 18

divide both sides by 3

X= 6

5) 7x + 10 = 3x + 120

collect like terms

7x - 3x = 120 - 10

4x = 110

divide both sides by 4

X = 27.5

6) 20 + 2x = X + 56

collect like terms

2x - X = 56 - 20

X = 36

7) already done

8)12x + 12 = 3x + 84

collect like terms

12x - 3x = 84 - 12

9x = 72

divide both sides by 9

X = 8

9) 3 + 6x = 2x + 27

collect like terms

6x - 2x = 27 - 3

4x = 24

divide both sides by the coefficient of X (4)

X = 6

10) 8x + 2 = 72 + X

collect like terms

8x - X = 72 - 2

7x = 70

divide both sides by the coefficient of X (7)

X = 10

11) 2x + 20 = X + 60

collect like terms

2x - X = 60 - 20

X = 40

12). 4x + 1 = 25 + 2x

collect like terms

4x - 2x = 25 - 1

2x = 24

divide both sides by the coefficient of X (2)

X = 12

I hope this helps

Answer:

The numbers are -11 and -9.

Step-by-step explanation:

The two numbers are x and y.

x = y - 2

2y = 5x + 37

2y = 5(y - 2) + 37

2y = 5y - 10 + 37

3y = - 27

y = -9

x = - 11

Answer:

59.2

Step-by-step explanation:

so each number placement after the decimal is different.

it goes tenths place, hundredths place, thousandths place, ten thousandths place and so forth

Answer:

59.2

Step-by-step explanation:

the tenth place is the 1st place on the right side of the dwecimal. so this rounded to the nearest tenth woul be 59.2, since 6 is enough to make 1 round up one more

Answer: 4/5

Step-by-step explanation:

Answer:

25500

Step-by-step explanation:

15% of 30000 is (multiply 30000 by .15 to get this) 4500

Subtract 4500 from 30000 and you got the answer

Answer:

6 is the gfc

Step-by-step explanation:

hope this helped :-)

Answer:

it is -

Step-by-step explanation:

i like chicken nuggets

Answer:

what the heck is this

Step-by-step explanation:

Answer:

2 and 6

Step-by-step explanation:

2+6=8. 6-2=4.

Answer:

2 and 6

Step-by-step explanation:

Answer:  (x, y) goes to (1/2x, 1/2y)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step one:

given data

Initial account balance=  $7200

we are told that the decrease was by 24.5%

Step two:

1. How much is this decrease in dollars?

let us solve for 24.5% of   $7200

=24.5/100*7200

=0.245*7200

=1764

the decrease is $1764

2. How much money was in her account at the end of last year?

the final account balance is

=7200-1764

=$5436

Answer: He used 765 grams of blueberries.

Step-by-step explanation:

The quantity of blueberries is directly proportional to the quantity of smoothie.

Equation of direct variation : [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

Substitute [tex]x_1=340\text{ grams},\ \ \ y_1=24\text{ fluid ounces}[/tex]

[tex]y_2=54\text{ fluid ounces}[/tex]

To find : [tex]x_2[/tex]

[tex]\dfrac{340}{24}=\dfrac{x_2}{54}[/tex]

[tex]\Rightarrow\ x_2=\dfrac{340}{24}\times54\\\\\Rightarrow\ x_2=765[/tex]

Hence, he used 765 grams of blueberries.

Answer:

Thanks!

Step-by-step explanation:

I already have it on my phone tho lol

Answer: No It's not proportional as the constant of proportionality for both of them.are different.

Step-by-step explanation:

For the first part of the question, a 150-pound teenager eats 5.5 pounds of food per day, we've to calculate the constant of proportionality. This will be:

y = kx

150 = 5.5k

k = 27.27

For the second part of the question, a 250-pound panda eats 40 pounds of bamboo a day. we've to calculate the constant of proportionality. This will be:

y = kx

250 = 40k

k = 250/40

k = 6.25

This shows that the 150-pound teenager eats 5.5 pounds of food per day, is not proportional to a 250-pound panda eating 40 pounds of bamboo a day because th e value of k are different.

Answer:

18.92

Step-by-step explanation:

Im preatty sure this is right

Answer:

18.92

I multiplied 0.22 and 86

Answer:

C

Step-by-step explanation:

Answer:

C) A car can travel 80 miles on 2 gallons of gasoline.

Step-by-step explanation:

They gave us the unit rate which is 40 mile/1 gallon of gasoline. With the unit rate, we can then simplify each answer choice.

Simplified version of answer a: 1 mile/40 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)

Simplified version of answer b: 41 mile/ 1 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)

Simplified version of answer c: 40 miles/1 gallon of gasoline (this one is the correct answer since it matched the unit rate.

Simplified version of answer d: 40 miles/ 20 gallon of gasoline  (we know it is wrong because it doesn't match with the unit rate.)

Hope this helped you : )