The height of a doorway is 3 yards. What is the height of the doorway in inches? 1 yard = 36 inches

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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:

18.5

Step-by-step explanation:

74% of 25 = 18.5

Hope this helps!

Answer:

Triangle y = 7

Triangle x = -3

Slope = - 7/3

Step-by-step explanation:

Formula:

slope (or m) = (y2 - y1)/(x2 - x1)

Plug numbers into formula

m = 8 - 1 / 4 - 7

m = 7 / -3

Cannot be simplified further

Slope = - 7/3

The triangle before y is asking for the difference, meaning what number do you get after taking y2 (8 in this problem) and subtracting y1 (1 in this problem) from it.

8 - 1 = 7 which forms the numerator for our slope

The same goes for the triangle before x. Find the difference

x2 - x1 = 4 - 7 = -3. This forms the denominator of our slope

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: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:

AC ≈ 11.3 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin23° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{29}[/tex] ( multiply both sides by 29 )

29 × sin23° = AC , then

AC ≈ 11.3 cm ( to 3 significant figures )

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:

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 .

Answer:

360 miles

Step-by-step explanation:

The unit rate here is (240 miles) / (2 hours), or 120 mph.

In 3 hours the vehicle travels (120 mph)(3 hrs) = 360 miles

Answer:

360

Step-by-step explanation:

240/2 =120 So, you want to add 120 to 240 to get 360.

Answer:

6[tex]\sqrt{5}[/tex]

Step-by-step explanation:

I'm assuming you are referring to the Pythagorean Theorem, which has the equation [tex]a^{2} +b^{2} =c^{2} \\[/tex]

b=12 c=18

[tex]a^{2} +12^{2} =18^{2}[/tex]

[tex]a^{2}+144=324[/tex]

[tex]a^{2} =180[/tex]

a=[tex]\sqrt{180}[/tex]

a=[tex]6\sqrt{5}[/tex]

Answer:

3,375 chairs

Step-by-step explanation:

The weight of 25 folding chairs is 15 kg

Number of folding chairs : weight

= 25 : 15

How many chairs can be loaded on a truck having a capacity of

carrying 2025 kg load?

Let number of folding chairs = x

Number of folding chairs : weight = x : 2025

Equate both ratios

25 : 15 = x : 2025

25/15 = x/2025

Cross product

25 * 2025 = 15 * x

50,625 = 15x

x = 50,625/15

x = 3,375

Number of folding chairs = 3,375 chairs

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:

Q1) The actual distance is 2400 km.

Q2) 1:5000000

Answer:

You split it into two parts then add them

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

From the given table, we can calculate the earnings of Melissa.

4 hours' work makes 36 dollars

1 hour work makes=36×1/4=9 dollars

Melissa makes 9 dollars per hour.

Holli makes 8.25 dollars per hour.

So, Melissa makes more money.

9-8.25=0.75

Melissa earns 0.75 dollars more than Holli.

So, the answer is C.

Answer:

[tex]q = 16\sqrt{2}, r = 16[/tex]

Step-by-step explanation:

Use proportions for 45-45-90 triangle.

Answer:

Step-by-step explanation:

Use proportions for 45-45-90 triangle.

Answer:

numerator is 1

denominator is 25

hope my ans helps

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Answer:

2

Step-by-step explanation:

the points for g is -4,0 and x is 4,2 so... yea 2

Answer:

Step-by-step explanation:

I don't know what the first graph is for. It obviously isn't the graph of g(x).

In the second graph, f(x) and g(x) intersect when x=4

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:

1.2

Step-by-step explanation:

I am just writing this sentence to get the required amount of characters.