I need help with this question please help

Answer:

Constant of proportionality = 2.25

What this value means is that the ratio between the daily fee for docking a boat at a marina in port and the length of the boat is 2.25

Step-by-step explanation:

We are told that the daily fee for docking a boat at a marina in port Canaveral is proportional to the length of the boat.

Let D be represent the daily fee and let the lent be L.

D ∝ L

Let the constant of proportionality be k.

Thus;

D = kL

k = D/L

For length of 15 ft;

k = 33.75/15

k = 2.25

For length of 17 ft

k = 38.25/17

k = 2.25

For length of 20 ft

k = 45/20

k = 2.25

Foe length of 21 ft

k = 47.25/21

k = 2.25

This means the formula for the relationship between the daily fee and boat length is; D = 2.25L

Thus, D/L = 2.25

What this means is that the ratio between the daily fee for docking a boat at a marina in port and the length of the boat is 2.25

Answer:

Solve systems of equations by graphing

A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Example

[tex]\left \{ {{y=2x+2} \atop {y=x-1}} \right.[/tex]

Graph the equations in a coordinate plane

The two lines intersect in (-3, -4) which is the solution to this system of equations.

Step-by-step explanation:

Answer:

[tex]x\geq -9[/tex]

Step-by-step explanation:

Answer:

x ≥ - 9

Step-by-step explanation:

Given

18 ≥ - 2x

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity,

- 9 ≤ x , that is

x ≥ - 9

Answer:

Q1) The actual distance is 2400 km.

Q2) 1:5000000

Step-by-step explanation:

it maybe

8m= 36+20

m=56/8

=7 answer

Answer:

it's B, C, and D

Step-by-step explanation:

A. w ⋅ 462 = 16 1/2

not A

w * a ≠ l

B. 16 1/2 ⋅ w = 462

is B

l * w = a

C. 462 ÷ 16 1/2 = w

is C

a / l = w

D. 462 ÷ w = 16 1/2

is D

a / w = l

E. 16 1/2 ⋅ 462 = w

not E

l * a ≠ w

Answer:

9 months im pretty sure hoped this help

Answer: It would take 10 months for her to get enough money to but the bike.

Step-by-step explanation: 150 + 400 = 550.

$40 per month - 40 x 10 = 400.

Already has 150$ in account.

150 + 400 = 550.

Answer:

100×60 ÷ 1× 86-89

6,000 ÷ (-3)

-2000

Answer:

the standard form of a linear equation required is B must be positive

Answer:

18.5

Step-by-step explanation:

74% of 25 = 18.5

Hope this helps!

Answer:

82in

Step-by-step explanation:

brainliest?

Answer:

A = 20°

AC = 6.6

BC = 2.4

Step-by-step explanation:

Given:

B = 70°

C = right angle = 90°

AB = 7

Required:

A, AC, and BC

Solution:

✔️A = 180 - (90 + 70) (sum of triangle)

A = 20°

✔️Use trigonometric function to find AC:

Refernce angle = 70°

Opp = AC

Hypotenuse = 7

Apply SOH,

sin 70 = Opp/Hyp

sin 70 = AC/7

7 * sin 70 = AC

6.57784835 = AC

AC = 6.6 (nearest tenth)

✔️Use trigonometric function to find Bc:

Refernce angle = 70°

Adj = BC

Hypotenuse = 7

Apply CAH,

cos 70 = Adj/Hyp

cos 70 = BC/7

7 * cos 70 = BC

2.394141 = BC

BC = 2.4 (nearest tenth)

Answer:

1500

Step-by-step explanation:

48-50

29-30

50 times 30 = 1500

Answer:

January has the greater MAD.

Step-by-step explanation:

The MAD of January is 8. You can figure this out by finding the mean of the data (adding them all together then dividing by the number of data points), then finding the distance between each data point and the mean. You then will add all the distances together, then divide by the number of data points. The MAD of July is 2.5. See above for the process.

Answer:

The first one will be 6. This is because 6/9 × 2/4= 1/3

The second one will be 2. This is because 9/10 × 2/3= 3/5

Step-by-step explanation:

Hope this Helpedn

Answer:

The number of terms in the sequence is 9

Step-by-step explanation:

We want to get the number of terms

Mathematically, we have the formula for the sum of terms in an arithmetic sequence as

[tex]sn = \frac{n}{2} (a + 1)[/tex]

a represents the first terms, and i represent the last term

[tex]423 = \frac{n}{2} (15 + 79) \\ \\ 423 \times 2 = 94(n) \\ \\ 94n = 846 \\ \\ n = \frac{846}{94} \\ \\ n = 9[/tex]

Answer:7 is the exponent

Step-by-step explanation:

Answer:

[tex]6^7[/tex]

Step-by-step explanation:

Exponents can be expressed through repeated multiplication, meaning that the amount of times one number is being repeated, would be the same amount as put in an exponent. Therefore :

6 * 6 * 6 * 6 * 6 * 6 * 6

6 is being repeated, therefore it's the constant.

6 is repeated 7 times, therefore the exponent is 7.

[tex]6^7[/tex]

Answer:

7m^4-52m^3-28m^2+67m+42

Answer:

Step-by-step explanation:

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the linear equation in two variables.

So we have to form two equations to solve this.

Let the number of children be 'x' and number of adults be 'y'.

hence, we get as,

x+y = 630 ..... (1)

and also, to their total cost spending, we get as,

1.5x + 2.25y = 1170 ...... (2)

solving (1) and (2) we get as,

Number of children were = 330

and Number of Adults were = 300

(Solved in the attachment)

Answer:

obtuse triangle

Step-by-step explanation:

it is obtuse because it needs to have all 3 sides to be acute to be an acute angle and it doesn't have any 90° angles so it has to be obtuse. Also because to be an obtuse it has to have 2 acute angles and 1 obtuse angle. Hope this helps!!

Answer:

Step-by-step explanation:

y=mx+b

m=(y2-y1)/(x2-x1), we have points (-3,6) and (9,-5)

m=(-5-6)/(9-(-3))

m=-11/12 so now we have

y=-11x/12+b, using point (9,-5) we can solve for b

-5=-11(9)/12+b

-5=-99/12+b

b=39/12

y=(-11x+39)/12

That is the line, m=-11/12 and b=39/12 or as a decimal b=3.25. You had b so not sure what the problem is. Though the question in the picture asks what the line is. The line is

y=-11x/12+13/4 so maybe they want the entire function instead of entering what b is.

Answer:

If the bisectors of two adjacent angles are perpendicular to each other, are the angles then supplementary angles?

Suppose two angles ABC and CBD are x and y.

x+y = 180 deg.

The bisector of angle ABC (BE) and the bisector of angle CBD (CF) will form angle EBF = (x/2)+(y/2) = 180/2 = 90 deg.

Conclusion: If the angle bisectors of two adjacent angles are perpendicular to eaxh other, the adjacent angles are supplementary angle

Adjacent angles are when the 2 angles have a common vertex and a common arm.

if the exterior sides of 2 adjacent angles are perpendicular, then the angles are complementary angles.

Then the sum of the 2 adjacent angles is a right angle - 90°.

When 2 angles add up to 90°, they are called a pair of complementary angles.

Step-by-step explanation:

Answer: Hello: ) ✨ If the bisectors of two adjacent angles are perpendicular to each other, are the angles then supplementary angles?

Suppose two angles ABC and CBD are x and y.

x+y = 180 deg.

The bisector of angle ABC (BE) and the bisector of angle CBD (CF) will form angle EBF = (x/2)+(y/2) = 180/2 = 90 deg.

Conclusion: If the angle bisectors of two adjacent angles are perpendicular to eaxh other, the adjacent angles are supplementary angle

Adjacent angles are when the 2 angles have a common vertex and a common arm.

if the exterior sides of 2 adjacent angles are perpendicular, then the angles are complementary angles.

Then the sum of the 2 adjacent angles is a right angle - 90°.

When 2 angles add up to 90°, they are called a pair of complementary angles.

Have an amazing Day/Night <3 .