Divide: 15m^2n + 20mn/5mn

Answer:

a = 6

b = 2

Step-by-step explanation:

Here, we want to take all values of p up and all values of q down

From the division, 9

goes up and the term above comes down

We have all the following indices rule to use;

(a^x)^y = a^xy

a^x * a^y = a^x + y

a^x / a^y = a^x-y

Let us evaluate all p terms;

p^12/p^4 = p^8

Let us evaluate all q terms

q^16/q^10 * 1/q^2

= q^6/q^2 = q^4

Let us evaluate all number terms

We have;

2^4/-3^2 * 9/4^2

= 16/9 * 9/16 = 1

All

number terms canceled out

Now, let us work with the exponents;

For the p terms;

p^8 = p^a+b

a + b = 8 •••••••••(i)

For the q terms;

q^4 = q^a-b

a-b = 4 ••••••••••(ii)

Add both equations

2a = 12

a = 12/2 = 6

For b;

a-b = 4

6-b = 4

b = 6-4

b = 2

Answer:

$48

Step-by-step explanation:

Martin earns = $10 x [tex]\frac{24}{5}[/tex] = $10 x 4.8 = $48

Answer:

X(4x+x^2)

Step-by-step explanation:

First the LCM is x

Now just distribute

Answer:

1. 24+5*14/2=

step 1. 24+5=29

step 2: 14/2=7

step 3: 29*7=59!

2. 200/4*6=

step 1: 4*6= 24

step 2: 25/200= 300!

Step-by-step explanation:

hope this helps did step by step explanation! brainliest?

1. 24+(5×14)÷2

=24+70÷2

=24+35

=59

2. 200÷4×6

=50×6

=300

Answer:

Area of sector = 117.6 cm²

Step-by-step explanation:

Radius of sector r = 10 cm

Angle Ф = 135°

We need to find Area of sector

The formula used is: [tex]\mathbf{Area\:of\:Sector=\frac{\theta}{360^{\circ}}\times \pi r^2}[/tex]

Where Ф is the angle, and r is the radius.

Putting values and finding area of sector

[tex]\mathbf{Area\:of\:Sector=\frac{\theta}{360^{\circ}}\times \pi r^2}\\Area\:of\:Sector=\frac{135}{360}\times 3.14 (10)^2\\Area\:of\:Sector=0.375 \times 3.14 \times 100\\Area\:of\:Sector=117.75[/tex]

Now, rounding off answer to 1 decimal place:

[tex]Area\:of\:Sector=117.6\: cm^2[/tex]

So, Area of sector = 117.6 cm²

Answer:

ture ture false

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Answer:25

Step-by-step explanation: bc 5 x 5 =25

Answer:17 chocolates left

Step-by-step explanation:

5x5= 25

42 - 25 = 17

hopefully this helps

I dont understand 2/5 of 50

İf 50.2/5

[tex]50. \frac{2}{5} = 50 \div 5 = \frac{2}{5 \div 5} = 10.2 = 20[/tex]

İf 2/5 /50

[tex] \frac{\frac{2}{5} }{50} = \frac{2}{5} . \frac{1}{50} = \frac{2 \div 2}{5} . \frac{1}{50 \div 2} = \frac{1}{5} . \frac{1}{25} = \frac{1}{125} = 0.008[/tex]

Answer:

[tex]\displaystyle m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, 0)

Point (5, -1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

[tex]m\angle CBD=35^{\circ}[/tex]

Step-by-step explanation:

Since there are [tex]180^{\circ}[/tex] on each side of a line and [tex]\angle ABC[/tex] is marked as a right angle, [tex]m\angle CBE=180-90=90^{\circ}[/tex].

[tex]m\angle CBE=m\angle DBE+m\angle CBD[/tex], and [tex]m\angle DBE[/tex] is given as [tex]55^{\circ}[/tex].

Therefore, we can plug in our values and solve:

[tex]90=55+m\angle CBD,\\m\angle CBD=\fbox{35^{\circ}$}[/tex].

Answer:

16

Step-by-step explanation:

each pound has 3.6 cups

1/4 of a pound can be multiplied

3.6 x 1/4 =  0.9

then we subtract 4 - 3.6 = 0.4 say if the question was for one pound

But we have to find  14.4 cups instead as;

3.6 x 4 = 14.4 = 4 pounds

We go back to 0.9 are first smaller serving = 1/4 cup

14.4/0.9 = 16

Answer:

1.998 km

Step-by-step explanation:

From the question, we know that:

When he gets off the bus, he has to walk a further 2000mm. In total, he travels 2.5km.

We convert 2000 mm to km

1 mm =1 × 10^-6 km

2000mm = x

2000mm × 1 × 10 ^-6km

= 0.002km

Subtracting this from the total distance

2.5km - 0.002 km

= 2.498 km

1 metre = 0.001 kilometre

We convert

He walks 500m to the bus stop, he then gets on the bus.

1 metre = 0.001 kilometre

We convert 500 m to km

1 m = 0.001 km

500m = x

x = 500 × 0.001

= 0.5 km

Subtracting this from the current distance, the distance he travelled on the bus is:

2.498km - 0.5km

= 1.998 km

Therefore, he travelled 1.998 km on the bus

Answer:

12 feet

Step-by-step explanation:

Given that,

The ramp connects to the truck 5 feet above the ground, and the length of the ramp from the truck to the ground is 13 feet long.

Now we need to find the distance along the ground from the truck to the end of the ramp.

Here,

5 feet will be perpendicular distance, 13 feet will be hypotenuse and we need to find the base.

Using Pythagoras therorem to find it :

[tex]b=\sqrt{13^2-5^2} \\\\=12\ \text{feet}[/tex]

So, the required distance is 12 feet.

Answer:

12 feet!!

Step-by-step explanation:

guy above me is right

Answer: Y=105 Z=28

Step-by-step explanation: i believe these are correct.

Answer:

x = 5

Step-by-step explanation:

add positive one to both -1 and 14

divide each side by 3

Answer:

64 degree and 116 degree

Step-by-step explanation:

4y-44+3y+35=180(Linear pair)

7y=189

y=27

4(27)-44=64

3(27)+35=116

Answer:

y ≥ 2x + 4

Step-by-step explanation:

Answer:

In the first one, 4 is multiplied by c. In the second one, 1/4 is multiplied by c.

Step-by-step explanation:

Answer:

95°

Step-by-step explanation:

Well first draw a parallel to p, let's say r

so we have that

[tex]\angle 2+\angle3=\angle1[/tex]

and

[tex]\angle y=148\\\\\angle x +63=180\\\\\angle x=117[/tex]

so now by internal angles of parallels we know that

[tex]\angle x +\angle 2 = 180\\\\\angle y +\angle 3 = 180[/tex]

which is

[tex]117+\angle 2 = 180\\\\\longrightarrow \angle 2 = 63\\\\148+\angle 3 = 180\\\\\longrightarrow \angle3=32[/tex]

so

[tex]\angle 1 = 63+32\\\\\angle 1 = 95[/tex]

Answer: y=-4x+9

Step-by-step explanation:

m= -4

b=9

Answer:

the slope is 4

y-intercept is -2

and the equation is

y=4x -2

Answer:

The formula is connecting R and A

 [tex]R = k \frac{1}{A}[/tex]

The value of 'K' = 18.15

Step-by-step explanation:

Step(i):-

Given that R is inversely proportional to A

      R ∝ 1 / A

      [tex]R = k \frac{1}{A}[/tex]

Given  R = 12 .1 and A = 1.5

       [tex]R = k \frac{1}{A}[/tex]

       [tex]12.1 = K (\frac{1}{1.5} )[/tex]

      K = 12.1 × 1.5

     K = 18.15

The value of 'K' = 18.15

Answer: $69

Step-by-step explanation:

Sales tax is charged after the discount.

The calculator was originally $75 and there is a 20% discount.

The discounted price is:

= 75 * (1 - 20%)

= 75 * 0.8

= $60

Now the sales tax applies. Total cost is:

= 60 * (1 + 15%)

= 60 * 1.15

= $69

Answer:

x=2

Step-by-step explanation:

Answer:

y is less than or equal to 2

Step-by-step explanation:

the shading area is under Y=2

Answer:

its not showing me the equation

Step-by-step explanation:

>>>>>

Step-by-step explanation:

f(x) = a * b^x

We have the following information:

f(0) = a * b^(0) = 15. => a * 1 = 15, a = 15.

f(1) = a * b^(1) = 9. => a * b = 9, (15) * b = 9, b = 0.6.

Hence f(x) = 15 * 0.6^x.