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This number line models the division problem ​1/6÷4​ .

What is the quotient?

Enter your answer as a fraction in simplest form by filling in the boxes.

Answer: [tex]A=15000(1.30)^t[/tex]

Step-by-step explanation:

Formula to find the price of an item after t years after withe a depreciation rate of r% is [tex]A=P(1-\dfrac{r}{100})^t[/tex], where P = Initial value of item.

Given: P = $15,000, r= 30%

Then, the value of car after t years will be :

[tex]A= 15000(1+\dfrac{30}{100})^t\\\\\Rightarrow\ A=15000(1+0.30)^t\\\\\Rightarrow\ A=15000(1.30)^t[/tex]

The required general formula for the value of the car t years after its purchase:

[tex]A=15000(1.30)^t[/tex]

Answer:

12500 cm

Step-by-step explanation:

0,125 km = 125 m (times 1000 because 1 km = 1000 m)

125 m = 12500 cm (times 100 because 1 m = 100 cm)

Answer:

Step-by-step explanation:

its c

Answer:

80 degrees

Step-by-step explanation:

The 132-deg angle is an exterior angle of the left triangle.

The 52-deg angle is a remote interior angle to the exterior angle above.

Angle VZY is also a remote interior angle to the exterior angle above.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.

We use the theorem above to find the measure of angle VZY.

52 + m<VZY = 132

m<VZY = 80

Angles WZX and VZY are vertical angles, so they are congruent.

m<WZX = m<VZY = 80

Answer: 80 degrees

Answer:

m∠WZX = 80°

Step-by-step explanation:

Angle V is a flat angle, so it measures 180°.

Find ∠YVZ (blue angle): 180° - 132° = 48°

Triangle VYZ is 180° (all triangles are 180°).

Find ∠YZV (red angle): 180° - 52° - 48° = 80°

Since you know ∠YZV, you can find ∠WZX (green angle).

∠YZV and ∠WZX are opposite angles, so they are congruent.

Therefore, ∠WZX = 80°

Hope this helps :)

Answer:

The root symbol (√ ) is used to represent the square root of any number.

Answer:

[tex]\sqrt{x}[/tex]

Square Root

Answer:

2,900

Step-by-step explanation:

Answer:

(-2, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

3x + 4y = -2

2x + 3y = -1

Step 2: Rewrite Systems

Find LCM of both equations.

Step 3: Redefine Systems

6x + 8y = -4

-6x - 9y = 3

Step 4: Solve for y

Elimination

Step 5: Solve for x

Answer:

the answer is  =-3±[tex]\sqrt{281}[/tex]/2

Step-by-step explanation:

Answer:

             [tex]\bold{p_1\approx6.88\ ,\qquad p_2\approx-9.88}[/tex]

Step-by-step explanation:

[tex]p^2+3p-28=40\\\\p^2+3p-68=0\\\\a=1\,,\ b=3\,,\ c=-68\\\\\\p=\dfrac{-3\pm\sqrt{3^2-4\cdot1\cdot(-68)}}{2\cdot1}=\dfrac{-3\pm\sqrt{281}}{2}\\\\p_1\approx6.88\ ,\qquad p_2\approx-9.88[/tex]

Answer:

6n=0

n=0/6

n=0

hope it helps.

Answer:

n=0

Step-by-step explanation:

6n  is the same of 6×n

∴ 6×0 = 0

Answer:

b !! (0.5, 0.5)

Step-by-step explanation:

if you used the formula to find midpoint 9i included a picture, you would get the fractions (1/2, 1/2) !! that as a decimal is 0.5 !! so the answer is b !! i really hope this helps !!

Answer:

$61,671.75

Step-by-step explanation:

There is a calculator called "Sales Tax Calculator" and if you put in your Before Tax Price and your Sales Tax Rate you will receive your answer of $61,671 and 75 Cents. ($61,671.75)

Step-by-step explanation:

Given

x² = 36

x² =( +6)²

x = +6

Hope it will help :)

Answer:

x= 18

Step-by-step explanation:

Divide both sides by 2

2 and 2 cancel out

36/2=18

check that it fits

2 x 18=36

18 is correct

Hope this helps ^-^

Answer:

Step-by-step explanation:

Answer:$ 19.00

Step-by-step explanation:

The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage.

Step-by-step explanation:

use the formula to calculate slope

36.864 cubic units is what the answer is

Step-by-step explanation:

there is 1 term

9th degree or degree =9

Answer:

Whats the question?

Answer:

Yeeeee

Step-by-step explanation:

Answer:

l= 28 feet

b = 2 feet

Step-by-step explanation:

The perimeter of a rectangle is given by;

P= 2(l + b)

Comparing this to the equation; 8x + 4 = 60, i can write;

2(4x + 2) = 60

This means that;

l = 4x

b = 2

but x =7

So;

l = 4* 7 = 28 feet

b = 2 feet

Answer:

x=12the opposite side of parallelogram are equal

Answer:

8

Step-by-step explanation:

Since, intercepts made by parallel lines on transversals are in proportion.

Therefore,

[tex] \frac{x}{24} = \frac{12}{36} \\ \\ \frac{x}{24} = \frac{1}{3} \\ \\ x = \frac{24}{3} \\ \\ x = 8[/tex]

Answer:

1: 65 in^2

2. 55 ft^2

Step-by-step explanation:

1. First you have to find the area of the trapezoid using the formula (a+b)h/2 where a= 10, b=15, and h=8. The answer will be 100. Then subtract the area of the square inside, which is 35. The final answer is 65.

2. Subtract from the dimensions of the landscape to find the dimensions of the patio. The length of the patio is 11 ft and the width is 5 ft. Therefore, the area is 55 ft^2

Answer:

Alright, helping you because I feel bad. 1) 76 in. 2) 24 in.

Step-by-step explanation:

1. [tex]A= \frac{a+b}{2} h[/tex]    a= base b= base h= height   Plug in the numbers, [tex](\frac{10+15}{2} ) 8= 100[/tex], but we still need to subtract the area of the un-shaded region (5×2)+(7×2)= 24

100-24= 76

2. Find the area of both landscaping rectangles, including the patio bit.

(14×2)+(8×2)=

28+16=

44in.    The two rectangles are the same size, so they both have an equal area. Now we find the area of just the patio spot, W= (8-3)×2  L= (14-3)×2 W= 10 L= 22  A=32 in.

Now, we multiply by two, since we counted it twice, 64 in.

Finally, subtract 64 from the the sum of the two areas from the landscape rectangles,  88-64= 24 in.

Answer:

I suppose that you want to see how we can find the volume of each individual slab with the given information, the procedure is as follows.

The walkway has 3 cement slabs,

He uses a total amount of 14 cubic feet to make the complete walkway.

This means that the 3 cement slabs together have a total volume of 14 ft^3

To find the volume of each slab, we need to find the quotient between the total volume and the total number of slabs, then we get:

Volume of each slab = (14 ft^3)/3 = 4 ft^3

This means that each cement slab has a volume of 4 ft^3.

Answer:

6 ft^3

Step-by-step explanation:

Answer:

11a+12b

Step-by-step explanation:

9a+12b+2a=11a+12b

Answer:

141.5 in

Step-by-step explanation:

sin 58 = m/p = 120/p

120 = psin58

120/sin 58 = p

p = 141.5 in.

Another way to look at this problem is to remember that the hypotenuse of a right triangle is the longest side.  Since 141.5 is the only answer greater than 120, it would have to be the logical choice for the length of p

Answer:

Verdadero

Step-by-step explanation:

Verdadero, cuando cambias dos fracciones para darles un denominador comun la fraccion entera se sustituye para otra que tiene el mismo valor numerico que la original. Por ejemplo tenemos una fraccion 2/6 en la cual tenemos que cambiarle el denominador a uno comun con otra fraccion que es 18. Entonces sustituyemos la fraccion por la siguente fraccion 6/18. Esta nueva fraccion es equivalente a la original y los dos tienen el mismo valor numerico...

2 / 6 = 0.333

6 / 18 = 0.333

Answer:

Top row: 3 cups, 30 tablespoons, 12 bananas

Second row: 7 cups, 70 tbs, 28 bananas

Step-by-step explanation:

The ratio is 5 (sugar) : 50 (butter)...

You can make the unit rate: 1 cup of sugar: 10 tbs of butter

Since the other ratio is 80 tbs : 32 bananas...

1 tbs : .4 bananas

So...

3 cups : 30 tbs

30 tbs : 12 bananas

28 bananas : 70 tbs

70 tbs :  7 cups

Hope this helps!!!

Area of the composite figure will be 52.5 cm².

Given composite figure is divided into two parts (1) triangle ABC (2) Rectangle DEFG

Area of ΔABC = [tex]\frac{1}{2}(AB)(BC)[/tex]

                        = [tex]\frac{1}{2}(5)[8-(1+2)][/tex]

                        = [tex]\frac{1}{2}(5)(5)[/tex]

                        = 12.5 cm²

Area of rectangle DEFG = Length × Width

                                        = 8 × 5

                                        = 40 cm²

Area of the composite figure = Area of triangle ABC + Area of DEFG

                                                = 12.5 + 40

                                                = 52.5 cm²

       Therefore, area of the composite figure will be 52.5 cm².

Learn more about the area of the composite figure,

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