a²b-b² if a and=b-7 ​

Answer:

3,000. You take 15,000 and multiply by .4 to get how much she spent on rent (6,000). They you subtract the rent money from her total pay to get her money that she spent on living expenses, clothes and entertainment in total (9,000). Since she spent her money in six parts (3+2+1), you divide 9,000 by 6 to get 1,500 to get each part. Since for entertainment she has two parts you multiply 1,500 by 2 to get 3,000.

Answer:

circumference = 18.84cm

area = 28.26cm

Step-by-step explanation:

Answer:

74 students would attend the assembly for third graders

Step-by-step explanation:

26 × 3 = 78

78 - 4 = 74

Answer:

34

Step-by-step explanation:

The absolute value function always gives a positive value, that is

| a | = | - a | = a , thus

| - 34 | = 34

Answer: It is B

Step-by-step explanation:

Answer:

y = -7,   y = -3

Step-by-step explanation:

(y - 3)² = 2y² + 4y + 30

expand:

y² - 6y + 9 = 2y² + 4y + 30

subtract 30 from both sides

y² - 6y + 9 - 30= 2y² + 4y + 30 - 30

simplify:

y² - 6y - 21 = 2y² + 4y

subtract 4y from both sides

y² - 6y - 21 -4y = 2y² + 4y - 4y

simplify:

y² - 10y - 21 = 2y²

subtract 2y² from both sides

y² - 10y - 21 - 2y² = 2y² - 2y²

simplify:

-y² - 10y - 21 = 0

solve y by quadratic equation

         - (-10) ± √ (-10² - 4(-1)(21)

y = --------------------------------------

               2(-1)

y = -7,   y = -3

Answer:

[tex]\Huge \boxed{y=-7 \ \ \mathrm{or} \ \ y=-3}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex](y-3)^2 =2y^2 +4y+30[/tex]

Expanding brackets.

[tex]y^2-6y+9=2y^2 +4y+30[/tex]

Subtracting (y² - 6y + 9) from both sides, then switching sides.

[tex]y^2 +10y+21=0[/tex]

Factoring left side.

[tex](y+3)(y+7)=0[/tex]

Setting factors equal to 0.

[tex]\Longrightarrow y+3= 0 \\\\\\ \Longrightarrow y=-3[/tex]

[tex]\Longrightarrow y+7=0 \\\\\\ \Longrightarrow y=-7[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

(a) 14.21 = 0.80x +  0.11 (0.80x)

(b) The original price of the t-shirt was $16.

Step-by-step explanation:

The information provided are:

(a)

Assume that the original price of the t-shirt was $x.

The discounted amount would be, x ( 1 - 0.20) = 0.80x.

The sales tax amount would be, 0.11 (0.80x).

Then the total amount paid by Marvin can be represented by the equation:

Total = Discounted amount + Sales tax amount

14.21 = 0.80x +  0.11 (0.80x)

Thus, the equation that can be used to find the original price of the t-shirt is:

14.21 = 0.80x +  0.11 (0.80x)

(b)

Compute the value of x as follows:

[tex]14.21 = 0.80x + 0.11 (0.80x)[/tex]

[tex]14.21=0.80\times 1.11\times x[/tex]

     [tex]x=\frac{14.21}{0.80\times 1.11}\\\\x=16.0023\\\\x\approx \$16[/tex]

Thus, the original price of the t-shirt was $16.

Answer: B.) Quantitative data

Step-by-step explanation:

In the given statement, we do not have categories but the count of dogs as "four" in a group.

Hence, the given statement represents "Quantitative data" .

So, the correct option is B) .

Answer:

see below

Step-by-step explanation:

alaikum salam.

2. find cos Ф,   sin Ф,  tan Ф

cos Ф = 5 / 13

Ф = 67.38

sin Ф = 12 / 13

Ф = 67.38

tan Ф = 12 / 5

Ф = 67.38

-----------------------

3. find sin β,  cos β,  tan β

sin β = 4 / 5

β = 53.13

cos β = 3 / 5

β = 53.13

tan β = 4 / 3

β = 53.13

Answer: Step-by-step explanation

2.

cos Ф = 5 / 13 ,       Ф = 67.38

sin Ф = 12 / 13 ,      Ф = 67.38

tan Ф = 12 / 5         Ф = 67.38

3.

sin β = 4 / 5    β = 53.13

cos β = 3 / 5    β = 53.13

tan β = 4 / 3     β = 53.13

Answer:

It will take approximately 9.3 weeks for Kevin to lose the

Step-by-step explanation:

current weight  of Dog = 78 pounds

Required weight to be shed off = 14 pounds

weight lost in 1 week = 1.5 pounds

Let the number of weeks required to lose 14 pounds be w.

Assuming that the rate of weight loss per week is constant

(weight lost in 1 week) × (number of weeks) = 14 pounds

1.5 × w = 14

w = 14 ÷ 1.5 = 9.3 weeks

Therefore it will take approximately 9.3 weeks for Kevin to lose the weight

Answer:

[tex]\boxed{\bold{\huge{\boxed{x = 4.0}}}}[/tex]

Step-by-step explanation:

[tex]\sf Cos\ \theta = \frac{Adjacent}{Hypotenuse}[/tex]

Where [tex]\theta[/tex] = 34° , Adjacent = x and Hypotenuse = 4.8

[tex]\sf Cos \ 34 = \frac{x}{4.8} \\0.829 = \frac{x}{4.8} \\x = 0.829*4.8\\x = 4.0[/tex]

Answer:

[tex]\Huge \boxed{x \approx 4}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use trig functions to solve for the problem.

[tex]\sf \displaystyle cos (\theta) = \frac{adjacent}{hypotenuse }[/tex]

[tex]\sf \displaystyle cos (34) = \frac{x}{4.8 }[/tex]

Multiplying both sides by 4.8.

[tex]\sf \displaystyle 4.8 \cdot cos (34) = \frac{x}{4.8 } \cdot 4.8[/tex]

[tex]\sf x = 3.97938034[/tex]

The value of x is approximately 4.

[tex]\rule[225]{225}{2}[/tex]

Answer:

the second choice which is positive 4 is the answer

Answer:

4

Step-by-step explanation:

(-80)/(-20)=

(-40)/(-10) when divided by 2

(-20)/(-5) when divided by 2 again

(-4)/(-1) when divided by 5

4 when divided by -1

Hope this helps

(pls mark brainliest)

Answer:

-8

Step-by-step explanation:

6-(-8)= 14

Answer:

x = -8

Step-by-step explanation:

I hope this helps!

Answer:

[tex]\Huge \boxed{\mathrm{\bold{a)} \ < \ }}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

1 - 5 __ 9

Subtract.

-4 __ 9

We know that -4 is less than 9.

The “less than” symbol is “<”.

[tex]-4<9[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

520

Step-by-step explanation:

To know what value should be placed in the box, let us calculate the carry out the operation.

Please see attached photo for explanation.

From the calculations made as shown in the attached photo, the value that should be placed in the box is 520

Answer:

Step-by-step explanation:

[tex](5x)^4=5x*5x*5x*5x=625x^4\\(-4xy)^2=-4xy*-4xy=16x^2y^2\\-4(xy)^2=-4*xy*xy=-4x^2y^2\\5x^4=5*x*x*x*x\\left~over -16x^2y^2[/tex]

Answer: False

Point Z is part of the sequence XYZ, so that means point Z is part of plane XYZ.

Answer:

the answer is the last choice

Step-by-step explanation:

Step-by-step explanation:

A repeating decimal is a recurring decimal. It has no end when divided.

9/3 is 3 so it is a terminating decimal.

Answer:

The single repeating digit is 3.

Step-by-step explanation:

Answer:

  the number of faces of a cube

Step-by-step explanation:

For an edge length of s, the area of one face of a cube is s^2. The area of all six faces of the cube, the total surface area, is 6s^2. The number 6 represents the number of congruent faces of a cube.

Answer:  the number of faces on the box

Step-by-step explanation:

In geometry, transformation involves changing the position or size of a shape.

The information, Jada needs to provide are:

When a polygon is translated, the direction(s) of translation and the units of translation must be stated.

Take for instance:

A translation of 2 units left.

The direction of the above translation is left, while the unit is 2

Also, when a polygon is reflected, the line of reflection must be stated. There are several lines of reflection; the most popular ones are:

Read more about reflection and translation at:

https://brainly.com/question/15577335

Answer:

(0, -5)

Step-by-step explanation:

When we rotate a point around the origin 180°, the original coordinates (x, y) become (-x, -y).

So,

-0 is just 0 (since 0 is both negative and positive)

-(5) is -5

This makes our new point (0, -5).

Hope this helped!

Answer:

34

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

18 × 2 - 4² ÷ 8

Step 2: Exponents

18 × 2 - 16 ÷ 8

Step 3: Multiply

36 - 16 ÷ 8

Step 4: Divide

36 - 2

Step 5: Subtract

34

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf 240 \: {inches}^{2} }}}}[/tex]

Step-by-step explanation:

Given,

Length of a rectangle = 20 inches

Perimeter of a rectangle = 64 inches

Area of a rectangle = ?

Let width of a rectangle be ' w ' .

First, finding the width of a rectangle

[tex] \boxed{ \sf{perimeter = 2(l + w)}}[/tex]

plug the values

⇒[tex] \sf{64 = 2(20 + w)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{64 = 40 + 2w}[/tex]

Swap the sides of the equation

⇒[tex] \sf{40 + 2w = 64}[/tex]

Move 2w to right hand side and change it's sign

⇒[tex] \sf{2w = 64 - 40}[/tex]

Subtract 40 from 64

⇒[tex] \sf{2w = 24}[/tex]

Divide both sides of the equation by 2

⇒[tex] \sf{ \frac{2w}{2} = \frac{24}{2} }[/tex]

Calculate

⇒[tex] \sf{w = 12 \: inches}[/tex]

Width of a rectangle ( w ) = 12 inches

Now, finding the area of a rectangle having length of 20 inches and width of 12 inches

[tex] \boxed{ \sf{area \: of \: rectangle = length \: \times \: \: width}}[/tex]

plug the values

⇒[tex] \sf{area \: of \: rectangle =20 \times 12 }[/tex]

Multiply the numbers : 20 and 12

⇒[tex] \sf{area \: of \: rectangle = 240 \: {inches}^{2} }[/tex]

Hence, Area of a rectangle = 240 inches²

Hope I helped !

Best regards!

Answer: -3/2

Step-by-step explanation:

There are two methods to find the slope

METHOD 1. Rise/Run

Rise: the y-axis value

Run: the x-axis value

In the graph, rise/run=3/2

The line is going down, so it should be negative

-3/2

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Answer:

∠DBE=1/3∠ABE ---> ∠DBE/ ∠ABE=1/3---->∠DBE/(∠DBE+∠ABE)=1/1+3

∠DBE=1/4 x 90=18 ----> ∠CBE=90 + 22.5=112.5

Step-by-step explanation:

Answer:

112.5°

Step-by-step explanation:

[tex] m\angle DBC = 90\degree.... (given) \\

m\angle DBE = \frac{1}{3}m\angle ABE.... (given) \\

m\angle ABE + m\angle DBE +m\angle DBC= 180\degree\\.. (straight \: line \: \angle 's) \\

m\angle ABE + \frac{1}{3}m\angle ABE +90\degree= 180\degree\\

\bigg(1+ \frac{1}{3}\bigg) m\angle ABE = 180\degree - 90\degree \\

\bigg(\frac{3+1}{3}\bigg) m\angle ABE = 90\degree \\

\frac{4}{3} m\angle ABE = 90\degree \\

m\angle ABE = 90\degree \times \frac{3}{4}\\

m\angle ABE = \frac{270\degree}{4}\\

\huge\red {\boxed {m\angle ABE = 67.5\degree}} \\

\therefore m\angle DBE = \frac{1}{3}\times 67.5\degree \\

\huge \purple {\boxed {\therefore m\angle DBE = 22.5\degree}} \\

m\angle CBE = m\angle CBD + m\angle DBE\\

\therefore m\angle CBE = 90\degree + 22.5\degree\\

\huge \orange {\boxed {\therefore m\angle CBE = 112.5\degree}} [/tex]

Answer:

2, 6, 10, 14

or

14, 10, 6, 2.

Step-by-step explanation:

Let the four consecutive numbers in A.P. be a - 3d, a - d, a + d, a + 3d

According to the first condition:

a - 3d + a - d + a + d + a + 3d =32

4a = 32

a = 32/4

a = 8

According to the second condition:

[tex] \frac{(a - 3d)(a + 3d)}{(a - d)(a + d)} = \frac{7}{15} \\ \\ \frac{ {a}^{2} - (3d)^{2} }{ {a}^{2} - {d}^{2} } = \frac{7}{15} \\ \\ \frac{ {a}^{2} - 9d^{2} }{ {a}^{2} - {d}^{2} } = \frac{7}{15} \\ \\ \frac{ {8}^{2} - 9d^{2} }{ {8}^{2} - {d}^{2} } = \frac{7}{15} \\ \\ \frac{ 64 - 9d^{2} }{ 64 - {d}^{2} } = \frac{7}{15} \\ \\ 15(64 - 9 {d}^{2} ) = 7(64 - {d}^{2} ) \\ \\ 960 - 135 {d}^{2} = 448 - 7 {d}^{2} \\ \\ 960 - 448 = 135 {d}^{2} - 7 {d}^{2} \\ \\ 512 = 128 {d}^{2} \\ \\ {d}^{2} = \frac{512}{128} \\ \\ {d}^{2} = 4 \\ \\ d = \pm 2 \\ \\ when \: d = 2 \\ a - 3d = 8 - 3 \times 2 = 8 - 6 = 2 \\ a - d = 8 - 2 = 6 \\ a + d = 8 + 2 = 10 \\ a + 3d = 8 + 3 \times 2 = 8 + 6 = 14 \\\\ when \: d = - 2 \\ a - 3d = 8 - 3 \times ( -2 ) = 8 + 6 = 14 \\ a - d = 8 -( - 2 )= 8 + 2 = 10 \\ a + d = 8 + ( - 2 )= 8 - 2 = 6\\ a + 3d = 8 + 3 \times ( - 2 )= 8 - 6 = 2 \\[/tex]

Thus the four consecutive numbers of the A. P. are 2, 6, 10, 14 or 14, 10, 6, 2.

372₁₀ = 2442₅

372 : 5 = 74 r 2

74 : 5 = 14 r 4

14 : 5 = 2 r 4

2 : 5 = 0 r 2 ↑

write down the remainders in the reverse order

372₁₀ = 2442₅

Answer:

Rectangle

Step-by-step explanation:

According to this grapher that I am using it shows a rectangle using your coordinates

Please give brainliest

Answer:

Rectangle

Step-by-step explanation:

Opposite sides (1, 1), (4,1) and (1, 3), (4,3) are horizontal and have length 3.

Opposite sides (1, 1), (1, 3) and (4, 1), (4,3) are vertical and have length 2.

There two pairs of opposite sides that are congruent, so this is a parallelogram. Since not all sides are congruent, this is not a square or a rhombus.

In addition, vertical sides and horizontal sides form right angles, so this is a parallelogram with right angles. It is a rectangle.