Carlos is digging a pond in his backyard as shown. The area of the
rectangular backyard is 6x + 14x - 12 square yards. The circular pond will
cover an area of 3x? - 4x + 5 square yards. Which expression represents the
area of the gray region, the area of the land remaining in the backyard?


Please answer!!!!

Answer:

Step-by-step explanation:

(450 miles/3 inches) = 150 miles/inch

(1,250 miles)/(150 miles/inch) = 8.3333 inches

When the actual distance between two cities is 1350 miles the distance between the same cities on the map is 9 inches.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.

Given that,

On scale 3 inches represents the actual distance = 450 miles.

To find the distance on scale when actual distance = 1350

Since, 3 inches = 450 miles

1 inch = 450 / 3 = 150 miles

150 miles = 1 inches

1 mile =  / 1/ 150 inches

1350 miles = 1350 / 150 inches = 9 inches

The required distance on scale is 9 inches.

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Answer:

6956

Step-by-step explanation:

i dont get the Question

Answer:

x=-13

Step-by-step explanation:

Subtract 22 from both sides.

-5x=67-2

Simplify  67-2 to  65.

-5x=65  

3 Divide both sides by -5.

[tex]x=-\frac{65}{5}[/tex]

​

Simplify [tex]\frac{65}{5}[/tex] to 13.

x=−13

Answer:

Step-by-step explanation:

Combining like terms occurs at this step:

3x - 6 + 6 = 3 + 6

Combining the - 6 + 6 =and 3 + 6 yields:

3x = 9

Answer:

A. 4(x + 3) = 4x - 8.

Step-by-step explanation:

Answer: Leah made more money by 1,996 dollars more than Gemma,

Step-by-step explanation: 1484 is how much Gemma made and 3480 is how much Leah made all you had to do is multiply the total amount of necklaces they sold and the price of each so Leah made more money by 1996 dollars

Answer: C: pi/6 and 11pi/6 only

Step-by-step explanation:

Edge2020 :]

Answer:

35, 43

Step-by-step explanation:

The pattern is that to obtain a term in the sequence , add 8 to the previous term, then

27 + 8 = 35

35 + 8 = 43

35 and 43 are the next 2 terms in the sequence

Answer:

35,43

Step-by-step explanation:

add 8 k so ya but ya and so on

Answer:

The numbers can be 2,4,6,8,0

Step-by-step explanation:

Apparently, using these numbers, the last 3 digits become divisible with 8. Therefore, 2,4,6,8,0 is the numbers that can fit in the hundredth's place.

Hoped this helped.

Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.

Let y represent the total renting fee for x hours.

Wavy Dave's charges $17.50 per hour plus a $20 fuel fee. Hence:

y = 17.5x + 20

Sun'N'Fun charges $15.00 per hour plus a $30 fuel fee. Hence:

y = 15x + 30

For Sun'N'Fun to be cheaper than Wavy Dave's:

15x + 30 < 17.5x + 20

10 < 2.5x

4 < x

x > 4

Hence,  Sun'N'Fun is cheaper than Wavy Dave's after 4 hours.

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Answer:

Below!

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

289-16= 273

273/7= 39

Hope this helps! :)

Answer:

$39

Step-by-step explanation:

let b = cost of each book

289 - 7b = 16

-7b = -273

b = 39

there are only 3  tangent lines can be drawn that touch both circles

ok done. Thank to me :>

Answer:

Step-by-step explanation:

1.)  [tex]c = \sqrt{a^{2} +b^{2} }[/tex]

a = 10, b = 7, c = x?

10+7= x

[tex]10^{2} + 7^{2} =x^{2}[/tex]

100 + 49 = [tex]x^{2}[/tex]

149 = [tex]x^{2}[/tex]

[tex]\sqrt{149} =[/tex] 12.206...

x = 12.2

2.) x + 19 = 21

[tex]x^{2} + 19^{2} =21^{2}\\21^{2}-19^{2} = x^{2}[/tex]

441 - 361 = [tex]x^{2}[/tex]

80 = [tex]x^{2}[/tex]

[tex]\sqrt{80}[/tex] = 8.94

x = 9

3.) x + 16 = 27

[tex]x^{2} + 16^{2}= 27^{2} \\27^{2} -16^{2} =x^{2}[/tex]

729 - 256 = [tex]x^{2}[/tex]

473 = [tex]x^{2}[/tex]

[tex]\sqrt{473}[/tex] = 21.74

x = 21.7

4.) 12.8 + 5.3 = x

[tex]12.8^{2} + 5.3^{2} =x^{2} \\163.84 + 28.09 = x^{2}\\191.93 = x^{2} \\\sqrt{191.93} = 13.85\\x = 13.9[/tex]

8.) x = 11.48 ft

a = 3.5 ft , b = x=? , c = 12 ft

[tex]3.5^{2} + x^{2} =12^{2} \\12.25 +x^{2} =144\\144-12.25=x^{2} \\131.75 = x^{2} \\\sqrt{131.75} =11.48\\x = 11.48[/tex]

9.) x = 32.078 feet

[tex]14^{2} +x^{2} =35^{2}\\196 + x^{2} =1225\\1029 = x^{2} \\\sqrt{1029} = 32.078 ft\\x = 32.078 ft\\[/tex]

10.) perimeter = 31.96

hope this helped a lot

mark me brainliest :D

Answer:

gud luk 4 class

Step-by-step explanation:

volume = all the sides times together

surface area = all side's area plus together

Answer:

4/7

Step-by-step explanation:

6 -2/2+5 = 4/7

thats it simple

Answer: 10

Step-by-step explanation:

6-x/x+5

6-(2)/(2)+5

Order of Operations

6-1+5

5+5

10

Answer:

A

Step-by-step explanation:

Answer:

3s+10s+10s+3s=9+3+3+9

26s=24

s=26+24

s=50 cm

Answer:  -(3/10)

Step-by-step explanation:

7/10=r-(-8/9)

(7/10)=r+(8/9)

(7/10)-(8/9)=r

  r =(7/10)-(8/9)

  r =(7/10)*(9/9)-(8/9)*(10/10)    [Multiply each fraction by another fraction equal to one, but with values that will convert the denominator into the same value]

  r =(63/90)-(80/90)

 r = -(27/90)  or -(3/10)

Answer:

65.1mm

Step-by-step explanation:

(4*3+4*3+5.7*3/2)*2

(12+12+8.55)*2

32.55*2

65.1mm

Answer:

Triangle

Step-by-step explanation:

90/3=30

30×2=60.

60° internally in a triangle.

Answer:

15) 44.6 inches

16) 77.8 degrees

Step-by-step explanation:

15) we are given the angle and length of 16, drawing this out, 16 inches (the height) would be opposite of the angle and the length of the ramp would be hypotenuse.

we know that sine is opposite over hypotenuse, so we can use that to help find the length.

Rearrange:

sin21degrees = opposite/hypotenuse

hypotenuse*sin21degrees = opposite

hypotenuse = opposite/sin21degrees

Sub in values:

hypotenuse = 16/sin21degrees

hypotenuse = 44.6468 inches

16) we are given two side lengths and expected to find an angle, we now need to use the inverse of one of the trigonometric ratios.

Drawing this out, we are given the hypotenuse and adjacent lengths, so we can use the inverse cosine to find the angle

angle = cos^-1 adjacent/hypotenuse

angle = cos^-1 (7/26)

angle = 74.381 degrees

Answer:4799,2475,4941,

Step-by-step

I'm not sure,

but I solved replace the given numbes

For first, (2×27+5)(3×27-15)=4799, for second (2×20+5)(3×20-15)=2475

For third(2×38+5)(3×38-15)=4941

x>-6

1st step: 3(x-1)>-15------(3x-3)>-15

2nd step: subtract -3 from -15 which is -18

3rd step: 3x>-18------x>-6

Answer:

x > -4

Step-by-step explanation:

First, distribute the 3 among everything inside the parentheses to get 3x - 3 > -15.

Next, add 3 on both sides to get 3x > -12, then divide 3 on both sides to get x > -4.

Hope this helps :)

Also I love the kitty lol, but what's with the hair tie?

Answer:

In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.

Step-by-step explanation:

For example, C={2,4,5} denotes a set of three numbers: 2, 4, and 5, and D={(2,4),(−1,5)} denotes a set of two pairs of numbers. ... Another option is to use set-builder notation: F={n3:n is an integer with 1≤n≤100} is the set of cubes of the first 100 positive integers.

Answer:

In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.

Step-by-step explanation:

No Explanation

Quotient:

[tex]\dfrac{9x^2 +68x +35}{x+7}\\\\\\=\dfrac{9x^2 +63x +5x +35}{x+7}\\\\\\=\dfrac{9x(x+7) +5(x+7)}{x+7}\\\\\\=\dfrac{(9x+5)(x+7)}{x+7}\\\\\\=9x+5[/tex]

Remainder:

[tex]f(x) = 9x^2+68x+35[/tex]

By the remainder theorem,

[tex]f(-7) = 9(-7)^2 +68(-7) +35 = 441 - 476+35 = 476 - 476 =0\\\\[/tex]

Which is the remainder when f(x) is divided by (x+7)