A lawn in the shape of a trapezoid has an area of 1,800 square meters. The length of one base is 50 meters, and the length of the other base is 40 meters. What is the width of the lawn?​

There are 13 ways to make change for 60¢ using only nickels, dimes and quarters.

In the United States of America, a nickel equals 0.05 dollar, a dime equals 0.10 dollar and a quarter equals 0.25 dollar.  

For 0.60 dollar we have the following expression in terms of nickels ([tex]n[/tex]), dimes ([tex]d[/tex]) and quarters ([tex]q[/tex]):

[tex]0.25\cdot q + 0.10\cdot d + 0.05\cdot n = 0.60[/tex], where [tex]q,\,d,\,n \in \mathbb{N}_{O}[/tex] (1)

Since quarters are the money of greatest value, we assume arbitrary quantities and count corresponding solutions, whose representations are included below:

[tex]n = 12-2\cdot d[/tex] (2)

According to the first graph, there are seven forms in this scenario.

Case 2 ([tex]q = 1[/tex])

[tex]n = 7-2\cdot d[/tex] (3)

According to the graph case_2, there are four forms in this scenario.

[tex]n = 2- 2\cdot d[/tex]

According to the graph case_3, there are two forms in this scenario.

Hence, there are 13 forms to make change for 60¢ using only nickels, dimes and quarters. [tex]\blacksquare[/tex]

To learn more on combinations, we kindly invite to check this verified question: https://brainly.com/question/1216161

We have a formula that the area of a circle = radius squared multiply with π so the radius is the square root of the divison of the area of a circle and π

R= nearly 3.568 m.

Can you understand?

Answer:

Independent Variable: Number of hours

Dependent Variable: Cost

Equation: C = 2x + 6

Step-by-step explanation:

    The independent variable (x) is the variable that is manipulated. In this instance, that would be the number of hours a person rents out the bike.

    The dependent variable (C) is the variable that is manipulated depending on the value of the independent variable. In this instance, that would be the total cost for renting the bike.

    The total equation would be C = 2x + 6. The coefficient, 2, represents the charge of $2 per hour and the 6 represents the starting charge of $6.

Answer:

243

Step-by-step explanation:

the answer is 243 for number 6

Answer:

all you gotta do is do 2430 divided by ten

Answerplease give moreinfo

Step-by-step explanation:

Answer:

The greatest common factor is 6.

Step-by-step explanation:

Greatest common factor is 6. If you use the distributive property then the answer would be 6(4) + 6(6) or 6(4+6). Then you distribute the 6 to each digit and should get 24+36.

Answer:

-5

Step-by-step explanation:

-15<-6=-15

-15÷3

=-5

Inequalities are used to show unequal expressions. There are five inequalities, and they are: not equal to, greater than, less than, greater than or equal to and less than or equal to.

The inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]

Given that:

[tex]-15 < -6[/tex]

Divide both sides by 3

[tex]-15 \div 3< -6 \div 3[/tex]

Evaluate the division

[tex]-5< -2[/tex]

Hence, the inequality when both sides of [tex]-15 < -6[/tex] is divided by 3 is [tex]-5< -2[/tex]

Read more about inequalities at:

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Answer:

7 - y

Step-by-step explanation:

2(x - 4) + 3x - y for x = 3

~Substitute

2(3 - 4) + 3(3) - y

~Simplify

2(-1) + 9 - y

-2 + 9 - y

7 - y

Best of Luck!

Answer:

64

Step-by-step explanation:

(30+2)2

30*2+2*2

60+4

64

Answer:

B. (30+2)^2

Step-by-step explanation:

(30+2)^2=30^2+2(30)(2)+2^2=900+120+4=1024

32^2=1024. The way to solve without calculator is above.

Hope this helps!

Please mark as brainliest if correct!

Answer:

2

Step-by-step explanation:

the volume of the rectangular prism =

4/5 × 3/2 x 5/3 = (4×3×5)/(5×2×3)

= 60/30 = 2

[tex]\\ \rm\longmapsto Volume=LBH[/tex]

[tex]\\ \rm\longmapsto Volume=\dfrac{4}{5}\times \dfrac{3}{2}\times \dfrac{5}{3}[/tex]

[tex]\\ \rm\longmapsto \dfrac{60}{30}[/tex]

[tex]\\ \rm\longmapsto 2units^3[/tex]

Answer:

2(5+2(2))=

2(5+4)=

2(9)=

18

Step-by-step explanation:

Step-by-step explanation:

Since,

1 inch=2.5 cm

Therefore,

5.2 inches=2.5×5.2 cm=13 cm

I hope it helped U

stay safe stay happy

Answer:

Answer:

part 1: c is the total cost of the 3 pounds of oranges.

part 2: 3 pounds of oranges cost c dollars and 1 pound of oranges is unknown.

part 3: 1c÷3

Answer:

yoooo it equals 1

Step-by-step explanation:

Answer:

$9000

Step-by-step explanation:

36000:4=$9000

Answer:

97%

Step-by-step explanation:

for such a question we can use the percentage numbers like real unit numbers, as we need to analyze just the percentage numbers and align them with another percentage number with the result of another percentage number.

so, we just use the percentage numbers and deal with mean values and such like with real unit numbers.

therefore we need to find x

(79 + 92 + 71 + 86 + x) / 5 = 85

as the sum of all numbers divided by the number of measurements is the mean value.

and so,

79 + 92 + 71 + 86 + x = 425

328 + x = 425

x = 97

so, the next site must be 97%, so that the average for the 5 surveys will be exactly 85%

Answer:

10

Step-by-step explanation:

B=180-42=138

C=32

triangle must have 180degrees: 180-(138+32)=X

x=180-170=10

Perimeter=sum of sides

[tex]\\ \qquad\quad\sf\longmapsto Perimeter=6y+3y+5+y-4[/tex]

[tex]\\ \qquad\quad\sf\longmapsto Perimeter=6y+3y+y+5-4[/tex]

[tex]\\ \qquad\quad\sf\longmapsto Perimeter=9y+y+1[/tex]

[tex]\\ \qquad\quad\sf\longmapsto Perimeter=10y+1[/tex]

The simplified expression of the perimeter of the given triangle is  10y + 1

Use the concept of a triangle defined as:

A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

In the given figure:

Hypotenuse = 6y

Perpendicular = 3y + 5

Base = y - 4

The perimeter of a triangle = Hypotenuse + Perpendicular + Base

Therefore,

Perimeter of the triangle = 6y + 3y + 5 + y  -  4

Perimeter of the triangle = 10y + 1

Hence,

The perimeter of the triangle is 10y + 1.

To learn more about the triangle visit;

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Answer:

8/11

3/11

Step-by-step explanation:

hope this helps!

answer

27/20

Step-by-step explanation:

3/5+3/4

12+15= 27

lcm= 20

Answer:

One side is 87.2 The other side is 352.8

Step-by-step explanation:

(4x+4)*x=440

5x+4=440

5x=436

x=87.2

(4(87.2)+4)=352.8

Answer:567/ 80 or 7(which was rounded to the nearest whole number)

Step-by-step explanation:

Answer:

-29

Step-by-step explanation:

4× (x+6) = -5. + 3x

4 times the sum of a number is 5 less than 3 times the same number

4×(x+6) = 3x - 5

4x + 24 = 3x - 5

x = -29

9514 1404 393

Answer:

  b. 90 -n

Step-by-step explanation:

The sum of an angle and its complement is 90 degrees. If c represents the complement, this means ...

  n +c = 90

  c = 90 -n . . . . . . . . . subtract n from both sides of the equation

The expression 90 -n can be used to find the complementary angle.

700,000,000

y a i ta

Step-by-step explanation:

100,000,000 + 500,000,000 = 600,000,000