You just carpeted a 9 x 12 foot room for $480. The carpet is priced by square foot. About how much would you expect to pay for the same carpet in another room that is 21 x 28 feet?

(With explanation)

Answer:  $ 126.65

Step-by-step explanation:

149/100)*15 =

(149*15)/100 =

2235/100 = 22.35

15% of $149 is 22.35

so ,

   real price-15% of real price= sale preice

  $149-$22.35=$126.65

Answer:

$ 126.65

Step-by-step explanation:

$ 149 multiply 15 % which is 0.15

Which is $ 22.35

Take $ 149 - $22.35 = $126.65

Answer:

Vertex: (0,-1)

AoS: x=0

y-intercept: -1

x-intercepts: -1 & 1

Step-by-step explanation:

Don't know the domain or range

Answer: 5 is in the tenths place

4 is in the hundredths place.

Step-by-step explanation:

When dealing with the place value of numbers, we should note that the digit is in the tenths place is the first didgut after the decimal point. In the number 12.54, the first digit after the decimal place is 5.

The digit in the hundredths place is the digit that comes immediately after the tenths place. In this case given the number 12.54, the digit in the hundredths place is 4.

Answer:

35 m

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Diameter of the circle = 70m

As we know,

Radius = d÷2

Therefore,

Radius of the circle = 70m ÷ 2

= 35m (Ans)

Answer:

A)6

B)x 2

C)x

Step-by-step explanation:

Answer:

this is the answer in the image above

Answer:

look attachment

Answer:

86

Step-by-step explanation:

Answer:

y = 2x + 6

Step-by-step explanation:

slope-intercept form => y = mx + b

substitute two of the (x, y) into the equations: y = mx + b  to solve for m and b

=> 0 = -3m + b, 6 = 0m + b

6 = 0m + b => b = 6

substitute b = 6 into 0 = -3m + b to solve for m:

=> 0 = -3m + 6 => -3m = -6 => m = 2

plug in b = 6 and m = 2 into the equation y = mx + b:

=> y = 2x + 6

Answer:

Step-by-step explanation:

10 games, 8 rides

Answer:

x = 4.5

Step-by-step explanation:

Since the perimeters are equal , then the equation relating them is

2x + 3 + 2x - 3 + x = x + 3 + x + 3 + x + 3 , that is

5x = 3x + 9 ( subtract 3x from both sides )

2x = 9 ( divide both sides by 2 )

x = 4.5

Answer:

the probability of picking an odd number is 7/10

Answer:

The probability of getting an odd number is 7/10.

Step-by-step explanation:

There are 7 odd numbers: {1, 3, 7, 9, 15, 19, 21}

There are 3 even numbers: {2, 10, 20}

There are 10 numbers overall: {1, 2, 3, 7, 9, 10, 15, 19, 20, 21}

7 odd numbers out of 10 numbers is equal to 7/10

Answer:

4-3=1

8+9=17

7 x 2= 14

Step-by-step explanation:

Answer:

1

17

14

Step-by-step explanation:

4 + -3 = 1

8 - -9=17

14/2=7

Answer:

2

+

5

+

6

=

0

Answer:

d = 16.7 in

Step-by-step explanation:

Since C = πd, d = C/π.          52.438 in

Here, with C = 52.438, d = ----------------- = 16.7 in

                                                  3.14

[tex]{\boxed{\boxed { \tt {d=16.7 in}}}}[/tex]

Since C=πd = c/π 52.438 in

C=52.438 , d = ________= 16.7 in

3.14

#CarryOnLearning

#LetsJustTheSummer

Answer:

I) ∠CAB measures 60°.

II) BC measures approximately 15.23 cm.

*Please read notes.

Step-by-step explanation:

We are given ΔABC, where AB measures 10√3 cm, AC measures 6 cm, and the triangle has an area of 45 square cm.

And we want to find I) the measure of ∠CAB and II) the length of BC.

I) First, we should always draw a representative triangle so we can determine the sides and angles. This is shown below.

Note that ∠CAB (or simply ∠A) is the angle between the two sides. Thus, we can find the angle by using the alternative formula for the area of a triangle:

[tex]\displaystyle A=\frac{1}{2}ab\sin(C)[/tex]

Where a and b are two side lengths, and C is the angle between the two sides.

Substitute:

[tex]\displaystyle 45=\frac{1}{2}(10\sqrt{3})(6)\sin(A)[/tex]

Simplify:

[tex]\displaystyle 45=30\sqrt{3}\sin(A)[/tex]

So:

[tex]\displaystyle \sin(A)=\frac{45}{30\sqrt{3}}=\frac{3}{2\sqrt3}=\frac{\sqrt{3}}{2}[/tex]

Take the inverse sine of both sides. Use a calculator. Thus:

[tex]\displaystyle m\angle A=\sin^{-1}\left(\frac{\sqrt{3}}{2}\right)=60^\circ[/tex]

II) To find BC, we will use the Law of Cosines. We do not know whether or not ΔABC is a right triangle, so we cannot use right triangle trigonometry or special right triangles.

The law of cosines is:

[tex]\displaystyle c^2=a^2+b^2-2ab\cos(C)[/tex]

Where a and b are side lengths and C is the angle between the side lengths. c is the side length opposite to the angle.

BC is opposite to A. Substitute:

[tex](BC)^2=(10\sqrt{3})^2+(6)^2-2(10\sqrt{3})(6)\cos(60^\circ)[/tex]

Simplify:

[tex]\displaystyle BC^2=336-120\sqrt{3}\left(\frac{1}{2}\right)=336-60\sqrt{3}[/tex]

Take the square root of both sides:

[tex]\displaystyle BC=\sqrt{336-60\sqrt{3}}\approx 15.23[/tex]

BC measures about 15.23 cm.

Notes:

In this case, the inverse sine of √3/2 will yield two answers: 60° and 120°. This is an example of an ambiguous case. Both of these angles will work. However, BC will be different. If ∠A is 60°, then BC is about 15.23. However, if ∠A is 120°, then BC is about 20.97. Both will result in the triangle having an area of 45 square cm, as well as AB measuring 10√3 and AC measuring 6.

Step-by-step explanation:

Let's solve for c.

5c=d

Step 1: Divide both sides by 5.

5c

5

=

d

5

c=

1

5

d

Answer:

Step-by-step explanation:

This is terminated after 4 places of decimal

Answer:

Step-by-step explanation:

In the decimal expansion of a rational number, the general rule is that if the denominator is of the form 2^m*5^n, then it will terminate after n places if n>m or m places if m>n.

In this case, 4 > 3 so the expansion will terminate after 4 decimal places.

Answer:

63

Step-by-step explanation:

Basically just do the equequation for the volume, witch is 7x3x3 and you get 63

Answer:

isosceles triangle

Step-by-step explanation:

the first one is isosceles triangle

Answer: 12

Step-by-step explanation:

Since Duane has 30 pairs of socks in a drawer and he has 6 matched pairs and the rest are of the socks are mismatched, the number if mismatched socks will be:

= 30 - 6

= 24 mismatched socks

Since he packed 1/2 of his mismatched pairs in his duffle bag for a week at summer camp, therefore, the number of socks he packed will be:

= 1/2 × 24

= 12

Therefore, he packed 12 socks for summer camp.

Answer:

The heading

Step-by-step explanation:

The greeting is usually started with, "Dear (Person or agency name)"

the body is simply the place where you write what you want to write to the person.

Answer:

A) 56

Step-by-step explanation:

Cut the figure (I did it horizontally)

Then solve for the volume of each prism and add

(6*2*2) + (4*4*2)

24+32

56

Answer:

x+10=45

x+10-45=0

x-35=0

x=35

Answer:

y=−x+3

Step-by-step explanation:

The slope-intercept form is y=mx+b, where m is the slope and b

is the y-intercept.

y=mx+b