The perimeter of a rectangular wooden deck is 90 feet. The deck's length is 5 feet less than 4 times its width. Write a system of equations to represent this situation.

Answers

Answer 1

Answer:

width = w

length = 4w - 5

perimeter = 90 feet

substitute these values into the formula for perimeter of a rectangle

90ft = 2( w + 4w - 5)

90ft = 2( 5w - 5)

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)


Related Questions

a fair dice is rolled. work out the probability of getting a factor of 6. give your answer in its simplest form​

Answers

The probability of getting a factor of 12 on a fair dice is 5/6 or approximately 83%.

Answer:

1 out of 60.

this is found by taking the one side of six and multiplying the total sides by 10.

Step-by-step explanation:

Find the volume of a 1 km3 body of water in m3, and select the correct units.

Answers

Answer:

1,000,000,000 [tex]m^3[/tex]

Step-by-step explanation:

1 kilometer is equal to 1000 meters, and 1 [tex]km^3[/tex] is 1 km * 1 km * 1 km

Therefore,

1000m * 1000m * 1000m = 1,000,000,000 [tex]m^3[/tex]

Hope this answer helped! :)

Mary received an $80 gift card for a coffee store. She used it in buying some coffee that cost $8.21 per pound. After buying the coffee she had $30.74 left on her card. How many pounds of coffee did she buy?

Answers

Answer:

Mary bought 6 pounds of coffee

Step-by-step explanation:

80 - 30.74 = 49.26

49.26 divided by 8.21 =6

The Park Protectors is a group of elementary students and teachers from
32 schools who pick up trash at local parks. The line plot shows the tons of trash they picked up this year.

Answers

Answer:

Step-by-step explanation:87

Answer: 70

Step-by-step explanation: i dont really have an explanation but its the right answer

What is true about the figure?
In the figure, angles C and D are a
Therefore, angle C must measure
B = ?
C = ?
A = ?
D = 124°

Answers

Answer:

<A = 56degrees

<B = 34degrees

<C = 56degrees

Step-by-step explanation:

From tyhe diagram, the sum of m<C and m<D is 180degrees. Hence;

<C + <D = 180

<C + 124 = 180

<C = 180 - 124

<C = 56degrees

Also;

<B + 90 + <C = 180

<B + 90 + 56 = 180

<B  + 146 = 180

<B = 180 - 146

<B = 34degrees

Similarly;

<A + <B = 90

<A + 34 = 90

<A = 90 - 34

<A = 56degrees

2 – 5 + 4 – 6 – 2 + 12
11
-5
5
1

Answers

Answer:

C. 5

Step-by-step explanation:

2 - 5 + 4 - 6 - 2 + 12

2 + 4 + 12 - 5 - 6 - 2

18 - 5 - 6 - 2

18 - 13

5

5 is your answer queen

Can someone figure this out, two pots and four large succuents for $76.00.
one pot and three large succulents for $53.00
Find the prices of the pots and succulents.

Answers

P = 8
S=15

System-

Equation 1: 2p + 4s = 76
Equation 2: p + 3s = 53

Solve by elimination.

2p + 4s = 76
-2(p + 3s) = 53

Equation 2 turns into -2p - 6s = -106

2p + 4s = 76
-2p - 6s = -106

Combine alike terms

-2s = -30
s = 15


Use one of the original equation and plug “s” in.

p + 3(15) = 53
p + 45 = 53
p= 8

in a right triangle, 0 is an acute angle and tan 0=8/5. What is the exact value of cos 0?

Answers

Answer:

[tex]\cos\theta=0.53[/tex]

Step-by-step explanation:

Given that,

[tex]\tan\theta=\dfrac{8}{5}[/tex]

We know that,

[tex]\tan\theta=\dfrac{P}{B}[/tex]

Where

P is perpendicular and B is base

Let H is hypotenuse of triangle. Using Pythagoras theorem,

[tex]H^2=P^2+B^2\\\\H=\sqrt{P^2+B^2} \\\\H=\sqrt{8^2+5^2} \\\\H=9.43[/tex]

We know that,

[tex]\cos\theta=\dfrac{B}{H}\\\\\cos\theta=\dfrac{5}{9.43}\\\\\cos\theta=0.53[/tex]

So, the value of [tex]\cos\theta[/tex] is equal to 0.53.

The table below shows the hours. x spent working on a new and the distance, y, of fished road.
Time. Distance
(hours) (miles)
50. 1.5
200. 6
350. 10.5
400. 12
650. 19.5


What is the slope of the line that is these date
A. 3/400
B. 3/100
С . 3/23
D. 3​

Answers

Answer:

Step-by-step explanation:

On your calculator go to stat-edit and enter the table. Press stat and go over to calc then press 4 and hit calculate it will give you the answer.

The slope of the line that is these data is 0.03 or 3/100

The correct option is (B).

What is slope of line?

The slope of a line is a measure of its steepness.

Given that:

Time              Distance

50                       1.5

200                      6

350                    10.5

400                      12

650                    19.5

Let us take,

[tex]x_1[/tex]=1.5, [tex]x_2[/tex]= 6, [tex]y_1[/tex]= 50, [tex]y_2[/tex]= 200

Slope of line, m= Δy/Δx

                       m=  [tex]x_2[/tex]- [tex]x_1[/tex]/ [tex]y_2[/tex]-  [tex]y_1[/tex]

                       m=6-1.5 /200-50

                       m=4.5 /150

                       m= 45/1500= 3/100

                      m=0.03

Hence, slope of line is= 0.03

Learn more about slope of line here:

https://brainly.com/question/16180119

#SPJ2

What is the correct equation to solve for X ? (geometry) show ur work pls


Answers

Answer:

i did it and i think b should be right

pls help mark brainlest.

Answers

Answer:

C. 2x + 50 = 180

Step-by-step explanation:

x + x + 10 + 40 = 180 *combine like terms*

2x + 50 = 180

just in case:

2x + 50 = 180 *subtract 50 from both sides*

2x = 130 *divide by 2*

x = 65

Please help me with part C

Answers

Answer:

20%

Step-by-step explanation:

The answer is %20. The reason why is because what part C says is… more than 14 laps, and the 20-24 on the graph shows that it will be rounded to %20 since it is closer to a near tenth instead of 24 regularly, hope this helps!

What two integers have a sum of -19 and a product of 84?

Answers

-7 x -12

7x12=84

7+12=19

What is the measure of the third angle in the similar triangles below?
A. 25
B. 65
C. 85
D. 115

Answers

Answer:

Step-by-step explanation:

c. 85 ?

so they both equal 90 degrees all together because of the locked corner. take the numbers you already have in the triangle add them then take 90 minus whatever they are and then you’ll find your answer

Your brother eats 1/6th of your birthday pizza. If the pizza has a diameter of 12 inches, what is the area that he ate

Answers

Answer:

18.84 in^2

Step-by-step explanation:

Area brother ate = 1/6 x area of pizza

a pizza is the shape of a circle. the area of a pizza is equal to the area of a circle

Area of a circle = πr²

r = 12/2 = 6

he diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

3.14 x 6^2 = 113.04

1/6 x 113.04 = 18.84

Please help me with this homework show me how you get it and the answer

Answers

Answer:

226.08

Step-by-step explanation:

V=pir^2h

=3^2 x pi x8

=226.08

Find the angle of depression
from point A to point C.
A
?
58°
6 mi
С
B
Angle of depression = [?]°

Answers

Answer:

32

Step-by-step explanation:

I just know that it's the answer

Which graph represents y as a function of x?​

Answers

Answer:

b

Step-by-step explanation:

Answer:  Graph A (upper left corner)

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

Explanation:

Graph B, C and D all fail the vertical line test. If it's possible to pass a vertical line through more than one point on the curve, then it's said to have failed the vertical line test. Any vertical line itself therefore is automatically not a function. If a graph fails the vertical line test, then it is not a function.

A function is only possible if for any given input x, we have exactly one and only one output. For graph A, the output is the same value regardless of the input. This is a constant function.

For something like graph B, the input x = 0 produces three different y outputs. The output y = 0 is one of those, and the others are off the screen so it's hard to tell what they are. Turns out it doesn't matter and all we need to do is the vertical line test. Graphs C and D are a similar story. In the case of graph D, the only input x allowed is x = 2 and it produces infinitely many y outputs.

Find Side AB and round to the nearest tenth of a decimal

Answers

Answer:

AB = 8.0

Step-by-step explanation:

Law of Sines

AB/sin53 = 7/sin44

multiply both sides by sin53

AB = 7/sin44 * sin53

use calculator

AB = 8.047766798861355

Rounded

AB = 8.0

Identify the area of a regular pentagon with side length 11 cm. Round to the nearest tenth.

Answers

Answer:208.2

Step-by-step explanation:

Answer:

208.2

Step-by-step explanation:

I got it right;)

When 3/11 is written as a repeating decimal, which digits are repeating?
OA) 27
B) 37
OC) 73
OD) 28

Answers

Answer:

I think it's 27 I may be wrong tho

Walltown is 25 miles east of Park City.
• Park City is 38 miles south of Edenton.
• Michael drove from Edenton to Park City, and then to Walltown.
a Leah drove straight from Edenton to Walltown.
About how much farther did Michael drive than Leah
2.5 miles
25 miles
CW34 miles
p. 45.5 miles
-D

Answers

Answer:

17.5

Step-by-step explanation:

don't know why 17.5 isn't one of the answer choices but it's right


1. How many students are there in Jerry's study?

Answers

14 students. There are 14 points on his graph.

PLEASE HELP NOT WILL HELP ME :,(
I'll make brainliest and give extra points

The following cone has a height of 4 inches and a volume of 12π. 4 in. What is the radius of the cone?​

Answers

Answer:

3 in.

Step-by-step explanation:

volume = ⅓πr²h

⅓πr²h=12π

r²h=36

r²=9

r = 3 inches

An animal reserve has 20,000 elk. The
population is increasing at a rate of 8% per
year. There is a concern that the food will be
scarce when the population doubles. How
long will it take for the population to reach
40,000. Show and explain your work.

Answers

Answer:

9 years

Step-by-step explanation:

by using the formula :

20,000(1 + 0.08) ^n = 40,000

=> (1.08)^n = 40,000/20, 000

(1.08) ^n = 2

n = 9

[tex]\\ \rm\Rrightarrow P(1+r)^n=I[/tex]

P is principalR is rate if interestI is final amount

[tex]\\ \rm\Rrightarrow 20000(1+0.08)^n=40000[/tex]

[tex]\\ \rm\Rrightarrow (1.08)^n=2[/tex]

[tex]\\ \rm\Rrightarrow log(1.08)^n=log2[/tex]

[tex]\\ \rm\Rrightarrow nlog1.08=log2[/tex]

[tex]\\ \rm\Rrightarrow n(0.033)=0.3[/tex]

[tex]\\ \rm\Rrightarrow n=3(3)=9[/tex]

an explanation please? I don’t even need the answer I’m just confused on what to do with the extra number knowing how to multiply with the 2 other numbers!

Answers

Answer:

Area = 21 un²

Explanation down Below!

Step-by-step explanation:

You don't need to worry about the 8 at all at this point

To find the area of a parallelogram you need to do base x height.

The height is 7, and the base of that height is 3.

7 x 3 = 21

Let me tell you why you do base x height.

if you cut out the triangle from the top and place it at the bottom it will become a rectangle.

The formula for a rectangle is base x height so this is why the formula works.

There is a picture for your reference.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Jessica baked 3p cookies. Alex baked twice as many cookies as Jessica. Sarah baked 10 fewer cookies than Jessica. Find the total number of cookies baked in terms of p. A. 2p B. 12p – 10 C. 10 – 12p D. 15 p – 10

Answers

Answer:

B) 12p - 10

Step-by-step explanation:

J = 3p

A = 2(3p) = 6p

S = 3p - 10

add together:

3p + 6p + 3p - 10 = 12p - 10

Pls HELP Iĺl give brainliest!

Answers

Hope it helps you...

Change 0.5 + 0.28 to fractions and add

Answers

Answer:

5/10 + 28/100 = 39/50

Step-by-step explanation:

i hope this helps :)

What single transformation was applied to quadrilateral A to get to quadrilateral B?

Answers

Answer:

The correct answer is translation

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