(a) The area of a rectangular parking lot is 3657 m².
If the width of the parking lot is 53 m, what is its length?

Answer:

4

Step-by-step explanation:

4 sheets of plywood X 9$=36$

60$-36$=24$

24$ is left over to buy boxes of nails at 5$ each

24/5=4.8

Derek can buy 4 boxes of nails.

The value of the $6000 annuity given annual compounding is $124,836.12.

The value of the annuity can be determining using this formula: amount deposited x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

$6000 x [(1.155^10) - 1/0.155] = $124,836.12

To learn more about annuities, please check: https://brainly.com/question/24108530

1.

(x+7)²

using (a+b)²=a²+b²+2ab

= x²+7²+ ( 2×x×7 )

= x²+49+14x

THEREFORE, x²+14x+49 is the answer

2.

4x²-1 = 0

= (2x)²-1² = 0

using a²-b² = (a+b) (a-b)

THEREFORE, (2x+1) (2x-1) is the answer

HOPE IT HELPS :)

Answer:

Step-by-step explanation:

The figure has 2 triangular and 3 rectangular faces.

This is a right triangular prism.

Find the area of each face and add up to get the total surface area.

Each triangle has base of 10 and height of:

Total surface area is

Answer:

The perimeter is 68 cm.

Step-by-step explanation:

Two sides of 22cm = 44cm

Two sides of 12 cm = 24 cm

44cm + 24cm = 68cm.

Answer:

7C

Step-by-step explanation:

Answer:

75 inches cubed

Step-by-step explanation:

V=lwh

2 1/2 = 2.5

4 = 4

7 1/2 = 7.5

2.5 x 4 x 7.5=75

75 cubic inches

Answer:

799.04

Step-by-step explanation:

First take the area of the rectangle, which would be 50 × 20 = 1000.

Then find the area of the circle. The area of a circle is [tex]\pi r^{2}[/tex].  Since the question says to use 3.14 for pi, your area would be 3.14 × 8².

8² equals 8 × 8 which is 64 and 3.14 times 64 is 200.96.

Since the circle is not part of the shaded area, you subtract the area of the rectangle by the area of the circle. 1000 - 200.96 is 799.04

Jack's problems illustrates algebraic expressions

The given parameter is:

Problems = m

From the complete question, we understand that all questions were solved in 5 days.

So, the number of questions solved per day is:

Daily = m/5

We have:

Daily = m/5

He solved 15 daily.

So, the equation becomes

m/5 = 15

Multiply both sides by 15

m = 75

Hence, 75 questions were assigned in total

Read more about expressions at:

https://brainly.com/question/723406

Answer:

15.8

Step-by-step explanation:

I divided 190 by twelve and got 15.833333. The question said to round to one decimal place. So, I rounded to 15.8.

First lets write an equation to help us solve this.

26.25=3x+5.25

x=7

26.25 - 5.25 = 21.

21/3 = 7.

Answer:

You can bowl 7 games.

Step-by-step explanation:

To begin, you need shoes.

-$5.25

So, we would do $26.25 minus the amount for shoes $5.25

$26.25-$5.25 = $21

You now have $21 to spend on bowling the games. Since it is $3 each game, we can do the equation $21 = $3x. We can do this becuase you have $21 to spend and each game costs $3. So we can put x for how many games and 3 as the price of each game. Now, we simplify to get x alone. This will be how many games you can bowl.

21 = 3x

Divide by 3 on both sides

7 = x

So, you can bowl 7 games.

well, since we'll be assuming a year has 365 days, well, 105 days is really just 105/365 of a year, and since you paid back 600, that means the interest was 50 bucks, 600 - 550 = 50.

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$50\\ P=\textit{original amount deposited}\dotfill & \$550\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{105}{365}\dotfill &\frac{21}{73} \end{cases} \\\\\\ 50 = (550)(\frac{r}{100})(\frac{21}{73})\implies 50=\cfrac{11550r}{7300}\implies 50=\cfrac{231r}{146} \\\\\\ 7300=231r\implies \cfrac{7300}{231}=r\implies \stackrel{\%}{31.6}\approx r[/tex]

Answer:

(425-330)/n=A

Step-by-step explanation:

Answer:

  17

Step-by-step explanation:

The expression of interest is the difference of the two given expressions.

  (-4x +6y) -(-2x -7y) = (9) -(-8)

  -2x +13y = 17

The value is 17.

_____

Additional comment

You could go to the trouble to solve the two equations for x and y, then compute the value of the expression you want. As we saw above, that is not necessary.

The first step in problem solving is always "look at the given information and how it relates to what you are asked." A little time spent doing that can save a lot of effort in the actual problem solving process.

Answer: 75.36

Step-by-step explanation: Lenght of arc=2nr
=2nx12in

=75.36

lenght of arc of sector=120/360x75.36

=25.12

Why do the leaves drop:

Hope that helps!

The ratio of the area of the first figure to the area of the second figure is 4:1

From the question, we are to determine the ratio of the area of the first figure to the area of the second figure

The two figures are similar

From one of the theorems for similar polygons, we have that

If the scale factor of the sides of two similar polygons is m/n then the ratio of the areas is (m/n)²

Let the base length of the first figure be ,m = 14 mm

and the base length of the second figure be, n = 7 mm

∴ The ratio of their areas will be

[tex](\frac{14 \ mm}{7 \ mm})^{2}[/tex]

[tex]= \frac{196 \ mm^{2} }{49\ mm^{2} }[/tex]

[tex]=\frac{4}{1}[/tex]

= 4:1

Hence, the ratio of the area of the first figure to the area of the second figure is 4:1

Learn more on Ratio of the areas of similar figures here: https://brainly.com/question/11920446

Answer:

7

Step-by-step explanation:

1) 1 m = 1000 mm, then to calculate the required time in months

2) 1000/12≈83.3 [months];

3) if 12 months=1year, then 83.3 months are 83.3/12≈6.94=7 [years].

Step-by-step explanation:

let b represent the number of books

b×b×b

b3

Answer:

109/150

Step-by-step explanation:

Answer: 109/150

6% = 6/100

6/100 = 18/300 (Multiply Numerator and Denominator by 3)

2/3 = 200/300 (Multiply Numerator and Denominator by 100)

200/300 + 18/300 = 218/300

218/300 = 109/150 (Simplify by Dividing Numerator and Denominator by 2)

Answer:

Step-by-step explanation:

hello :

p(x) = 5(x + 3)2 – 45

the vertex is the point : A(-3 ; -45)

minimum -45

the axis of symmetry  is the line when an equation is : x =  -3

Answer:

Step-by-step explanation:

The given relations can be used to write three equations for the angle values.

  t + y + z = 180 . . . . . sum of all angle measures

  y + z = 5t . . . . . . . . second and third total 5 times the first

  y + 30 = z . . . . . . third angle is 30 more than the second.

__

Using the third equation to substitute for z in the first two equations gives ...

  t + y + (y +30) = 180   ⇒   t +2y +30 = 180

  y + (y +30) = 5t   ⇒   2y +30 = 5t

Using the second of these equations to substitute for (2y+30) in the first, we have ...

  t +5t = 180

  t = 180/6 = 30 . . . . . . divide by the coefficient of t

Using this value in our equation for 5t gives ...

  2y +30 = 5(30)

  2y = 120

  y = 60

Then the value of angle z is ...

  y +30 = z = 60 +30

  z = 90

The first, second, and third angles are 30°, 60°, and 90°, respectively.

Answer:

x = 7

Step-by-step explanation:

x - 7 = 0

x = 7

Slope = change in y / change in x

slope = (0 - 13) / (7 - -14)

slope = -13/28

=======================================================

Explanation:

1 unit along the grid represents 5 feet in real life.

A 1 unit by 1 unit square on the graph paper represents a 5*5 = 25 square foot area in real life.

This means we multiply by 25 when going from the floor plan's area to the real world area.

44*25 = 1100 square meters is the area of the room in real life when the floor plan says the area is 44 sq units.

d is the answer

let the number of tickets be x and y

then the prices are multiplied to the number of tickets.

Answer:

y-18=14

add 18 on both sides

y=32

plug that into the equation below

3(Y+5)

3(32+5)

add 32 and 5

3(37)

multiply

3

....

3 x 37 = 111