.
[140
m21%
10.70
050
060

Answer:

Step-by-step explanation:

Let x = the number of 50-cent increases in the cost of a book rental.

Right now he is renting 38 books per day at $3 per rental. If he raises his price he will lose 4 rentals per increase. The money part of this is:

$3 + .5x = the price per book rental after the increase. That's how much money he will make. The money made is NOT the same thing as the number of rentals. Therefore, they are put into separate expressions.

The number of rentals is:

38 - 4x. This is the number of books he is currently renting minus the number of book rentals he will lose per price increase. Putting those 2 expressions together and multiplying them will give you the end result of this increase in price.

(3 + .5x)(38 - 4x) = 114 - 12x + 19x - 2x², or putting it in descending powers of x and combining like terms:

-2x² + 7x + 114

Answer:

m∠QPR = 20°

Step-by-step explanation:

Step 1: Find x

4x + 27 + 9x - 115 = 107

13x - 88 = 107

13x = 195

x = 15

Step 2: Find m∠QPR

9(15) - 115

135 - 115

m∠QPR = 20°

Answer:

see below

Step-by-step explanation:

Angle B is 100 degrees because vertical angles are equal

<B and angle X are same side interior angles and since AD and EH are parallel lines same side interior angles are complementary

B + X = 180

100 +x = 180

x = 180-100

x = 80

Answer:

112°

Step-by-step explanation:

∠OLM= 2x, ∠PON= x

∠LOK= x

∠OKL= 180-124= 56

∠OLM= ∠OKL+∠LOK

x+56°= 2x

x= 56°

2x= 112°

Answer:

12 units

Step-by-step explanation:

Because the two triangles are similar:

[tex]\dfrac{x}{9}=\dfrac{16}{x} \\\\\\\dfrac{x^2}{9}=16 \\\\\\x^2=144 \\\\\\x=12[/tex]

Hope this helps!

Answer:

$52.5

Step-by-step explanation:

Costing Price = $50

Tax = 5% of $50

=> [tex]\frac{5}{100} * 50[/tex]

=> 0.5*5

=> $2.5 Tax

Total Cost = CP + Tax

=> $50 + $2.5

=> $52.5

Answer:

52.50

Step-by-step explanation:

i just did the test

answer

y = cos(x - π/2) Solve for x:

y = sin(x)

y = sin(x) is equivalent to sin(x) = y:

sin(x) = y

Take the inverse sine of both sides:

Answer: |

| x = π - sin^(-1)(y) + 2 π n_1 for n_1 element Z

or x = sin^(-1)(y) + 2 π n_2 for n_2 element Z

Answer:

5/16

Step-by-step explanation:

5/12 × 3/4

Multiply.

15/48

Simplify.

5/16

Answer:

Brian = 55

Son = 29

Step-by-step explanation:

Let the ages of Brian and his son be

x +26 and x

Given that :

x + x + 26 = 84

2x + 26 = 84

2x = 58

x = 29.

We know that x is the age of Brian's son. so, Brian's age is 29 + 26 = 55

Hope this helps.

Good Luck

Answer:

$9.30

Step-by-step explanation:

If you subtract 16.33 from the total of 25.63 you will have 9.3 or 9.30. (They're the same number.)

Answer:

The diagonal has to measure 10 meters

Step-by-step explanation:

The diagonal has to be based on the Pythagorean theorem (for right angle triangles) and that is:

[tex]diagonal^2=side_1^2+side_2^2\\diagonl^2=6^2+8^2\\diagonal ^2=36+64\\diagonal^2=100\\diagonal = 10 \,\,m[/tex]

Answer:

A

Step-by-step explanation:

Since the time depends on the pages, the answer is time(pages).

Answer:

A

Step-by-step explanation

Because time , book , and number of pages in the book is in the text

Answer:

Plot 1 area= 32.5cm²

Plot 2 area = 73.0925cm²

Plot 3 area = 35cm²

Plot 4 area = 54cm²

Total the area of field​ = 194.5925cm²

Step-by-step explanation:

To find the area of each plot, we need to find the area of the shape of each plot.

A diagram related to the question found at brainly (question ID: 18861101)

has been attached.

Plot 1 is a right angle triangle:

Area = ½ × base × height

AE = 19cm, CF = DE = 7cm

Ad = AE - DE

base =AD =  19-7 = 12cm

Using Pythagoras theorem

height = CD = √(AC² - AD)²

AC = 13cm

CD = √(13² - 12²) = √(169-144)

height = CD = √25 = 5

Area = ½ × 13×5 = 65/2

Area = 32.5cm²

Plot 2 is an equilateral triangle

Area = ½ × base × height

Area of the equilateral triangle = s²/4 ×(√3)

Where s = side = 13cm

√3=1.73

Area of the equilateral triangle = (13)²/4 ×(√3) = 169/4 × 1.73

= 42.25 × 1.73 = 73.0925cm²

Plot 3 is a rectangle

Area of the rectangle = length × width

length = FC = 7cm

width = CD = 5cm

Area of the rectangle = 7×5 = 35cm²

Plot 4 is a trapezium

Area of trapezium = ½(a+b) × height

a = FE = CD = 5cm

b = GH = 17cm

Height = ?

To get night let's break the trapezium diagram. We would have two triangles and 1 rectangle.

FE = CD= 5cm

From the 2nd diagram of the triangle,

Using Pythagoras theorem to find h in  both triangles:

9² = h²+x²

h² = 81-x² ...(1)

15² = h²+(12-x)²

225 = h² +144-24x+x²

81 = h²-24x+x² ...(2)

Substitute 1 in 2

81 = 81-x² + x²-24x

24x = 0

x = 0

h² = 81-0² = 81

h = √81 = 9cm

base of the triangle = GH-FE = 17-5 = 12cm

Area of trapezium = ½(5+7) × 9

= 12/2 × 9 = 54cm²

Total the area of field​ = area of right angled triangle + area of equilateral triangle + area of rectangle +area of trapezium

= 32.5cm² + 73.0925cm² + 35cm² + 54cm²

Total the area of field​ = 194.5925cm²

Answer: x= 2

Step-by-step explanation:

(8 X 4)+[8 X (-x)]= 7x+2

32- 8x = 7x+2

-8x-7x =2-32

-15x = -30

x= 2

Answer:

x=2

Step-by-step explanation:

[tex]8(4-x)=7x+2[/tex]   Original equation

[tex]32-8x=7x+2[/tex]   Distributive property on left

[tex]30=15x[/tex]   Combine like terms and isolate the variable (x)

[tex]2=x[/tex]   Divide both sides by 15 (Division Property of Equality)

Answer:

the answer is D

Step-by-step explanation:

y>4 : the shaded region is above the line

y>x : the shaded region is above the line

ANSWER: False

This is false because alcohol can have effect as soon as the first drink, depending on the type of person you are.

For example, if your parents drank, and you were born early (a preemie) this can affect your ability to drink.

Hope this helps! ^^

Answer:

False

Step-by-step explanation:

Loooook above

Answer:

Given Below

Step-by-step explanation:

v = u+at

u+at = v

at = v-u

t = v-u/a

Hope this helps

Answer:

D. a = (v – u)/t

Step-by-step explanation:

just did it on e2020

Answer:

[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]

Step-by-step explanation:

The explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a [tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

Here a = - 1 and r = 3 ÷ - 1 = - 3 , thus explicit formula is

[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]

Answer:

goo

Step-by-step explanation:

gooodret

[tex]solution \\ radius = 9 \: m \\ area \: of \: circle = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times {9}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 81 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 254.34 \: {m}^{2} \\ [/tex]

Hope it helps...

Good luck on your assignment

Answer:

[tex]= 254.34 {m}^{2} \\ [/tex]

Step-by-step explanation:

[tex]area = \pi {r}^{2} \\ = \pi \times 9 \times 9 \\ =3 .14 \times 81 \\ = 254.34 {m}^{2} [/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Answer:

A)

i) 17 => 14 => 11

ii) 3 => 17 => 87

B)

=> 6+5(n-1)

Answer:see below

Step-by-step explanation:

1+x evaluates to 1+x

Multiply 2 by 1+x

we multiply 2 by each term in 1+x term by term.

This is the distributive property of multiplication.

Multiply 2 and 1

1

2 × 1 = 2

Multiply 2 and x

Multiply 1 and x

The x just gets copied along.

x

2 × x = 2x

2*(1+x) evaluates to 2+2x

x - 2x = -x

The answer is -x-2

x-2*(1+x) evaluates to -x-2

1-x evaluates to 1-x

Multiply 3 by 1-x

we multiply 3 by each term in 1-x term by term.

This is the distributive property of multiplication.

Multiply 3 and 1

1

3 × 1 = 3

Multiply 3 and -x

Multiply 1 and x

The x just gets copied along.

x

3 × -x = -3x

3*(1-x) evaluates to 3-3x

To add the polynomials -x-2 and 3-3x we try to add or combine terms in one polynomialwith any like terms in the other polynomial.

-x + -3x = -4x

-2 + 3 = 1

The answer is -4x+1

x-2*(1+x)+3*(1-x) evaluates to -4x+1

Multiply x and 2

Multiply x and 1

The x just gets copied along.

The answer is x

x

2*x evaluates to 2x

1+2*x evaluates to 1+2x

Multiply 4 by 1+2x

we multiply 4 by each term in 1+2x term by term.

This is the distributive property of multiplication.

Multiply 4 and 1

1

4 × 1 = 4

Multiply 4 and 2x

Multiply 1 and x

The x just gets copied along.

x

4 × 2x = 8x

4*(1+2*x) evaluates to 4+8x

To subtract the polynomials -4x+1 and 4+8x we try to subtract terms in one polynomialwith any like terms in the other polynomial.

Be very careful with the "-" sign in front of 4+8x it is to be used on all terms in it.

-4x - 8x = -12x

1 - 4 = -3

The answer is -12x-3

x-2*(1+x)+3*(1-x)-4*(1+2*x) evaluates to -12x-3

The final answer is

-12x-3

Answer:

C. -2

Step-by-step explanation:

The slopes of parallel lines are always the same.

Answer:

There are 86,400 seconds in a day. (Answer choice C)

Answer:

Solution,

[tex]area \\ = 9 \times 6 + \frac{1}{2} \times (6 + 11) \times 6 \\ = 54 + \frac{1}{2} \times 17 \times 6 \\ = 54 + 51 \\ = 105 \: {cm}^{2} [/tex]

hope this helps...

Good luck on your assignment..

Answer:

Step-by-step explanation:

see attached

Answer:

Sale-person's total salary for the year is  $ 82,050

Step-by-step explanation:

Base salary of salesperson = $37,000

commission percentage of salesperson = 17% of sales

sales made in a year = $265,000

commission for salesperson in $ = 17% of sales

commission for salesperson in $ = 17 / 100 *  $265,000 = $45,050

Thus, total commission for the given year salesperson is   $45,050

Total salary for year = Base salary + total commission for the given year

Total salary for year = $37,000  +  $45,050 = $ 82,050 (Answer)

Answer:

84 cm.

Step by Step Explanation:

length= 12 cm

breadth= 7 cm

Height= 4 cm

Area= L×B

= (12×7) cm

= 84 cm^2

problem decoded dude

thank and follow me :)

If the length of a diagonal of a square is a . The length of its side will be a/√2.

The area of the square is found as the square of the length of its side. If the length of a side is a;

Area of a square = side²

Given;

The length of the diagonal is a and the side of the square is x then;

From the pythogorours theorem;

⇒x²+x² =a²

⇒2x²=a²

⇒x²=a²/2

⇒x=a/√2

Hence the length of its side will be a/√2.

To learn more about the area of the square, refer to:

https://brainly.com/question/1658516

#SPJ2

Answer:

y=6x-5

Step-by-step explanation:

The standered form for the equation of a liner line is y=mx+b where m=the slope and b= the y intercept.

First you need to find the slope which is the change in y over the change in x. The change in the y values (7 and -5) is -12 and the change in the x values (2 and 0) is -2. So the slope is -12/-2 which can be simplified to -6/-1 or 6.

Now that you have the slope you just need the y-intercept. Pick one of the two points from the problem and input that into the x and y values and solve for b. For example 7=6(2)-b where 6(2)=12 and you can then subtract 12 from each side to isolate be and end up with b=-5.

In your final answer, x and y remain as variables to get y=6x-5.

Answer:

No solution

Step-by-step explanation:

=> [tex]\frac{1}{4} (20-4a) = 6-a[/tex]

=> [tex]\frac{1}{4} *4(5-a) = 6-a[/tex]

=> [tex]5-a=6-a[/tex]

Adding a to both sides

=> [tex]5-a+a=6-a+a[/tex]

=> 5 ≠ 6

So, this equation has no solution.