9. The Milligan family spent $215 to have their family portrait taken. The portrait


package they would like to purchase costs $125. In addition, the photographer


charges a $15 sitting fee per person in the portrait.



a. Identify the independent and dependent variables. Then write a function to


represent the total cost of any number of people in the portrait.



b. Use the equation to find the number of people in the portrait.

Answer:

the answer is a

Step-by-step explanation:

Step-by-step explanation:

I don't have a answer but try photo math app it might help you a lil

Answer:

190

Step-by-step explanation:

The distance between the tree and the rock formation is approximately 304.14 meters.

To find the distance between the tree (point T) and the rock formation (point R), we can use the law of cosines. The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Let's denote the unknown distance between the tree and the rock formation as 'd.'

We have a triangle with sides of lengths 200 meters (side ST), 150 meters (side SR), and d meters (side TR). The angle opposite side ST is 120 degrees.

According to the law of cosines:

d² = 200² + 150² - 2 * 200 * 150 * cos(120°)

Now, we can calculate this expression to find the value of d:

d² = 40000 + 22500 - 60000 * cos(120°)

Using the value of cos(120°) ≈ -0.5, we have:

d² = 40000 + 22500 - 60000 * (-0.5)

d² = 40000 + 22500 + 30000

d² = 92500

Taking the square root of both sides to solve for d:

d = √92500

d ≈ 304.14

Therefore, the distance between the tree and the rock formation is approximately 304.14 meters.

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Answer:

Do u still need help

Step-by-step explanation:

Answer:

x = 11/3  

Step-by-step explanation:

1/3 (9x + 12) = 15

3x + 4 = 15

3x = 11

x = 11/3

Step-by-step explanation:

-18x -14 = - 68

=> -18x = -68 + 14

=> -18x = -54

=> 18x = 54. ['-' on both sides gets cancelled]

[tex] = > x = \frac{54}{18} [/tex]

=> x = 3 (Ans)

Answer:

Line equation: y=4x−22

Slope: 4

Intercept: -22

Step-by-step explanation:

Answer: 36 and 56

Step-by-step explanation: the sum of two numbers translates into x + y = 92

If the difference would be 0 then the numbers would be equal.

Just choose which number you want to be bigger. If x is bigger then x - y = 20. If y is bigger then y - x = 20.

Let’s make x bigger so x-y=20. You can go two ways with this.

Either x=20+y because when passing one term from one side to the other you can change the sign.

Or y=x-20 because you pass “-y” to the right and it’s becomes “y” and you pass 20 to the left and it becomes -20.

Let’s go with y=x-20.

Now we replace this in the other relation:

X + Y = 92

X + (x-20) = 92

X + X - 20 = 92

2x - 20 = 92 ==> 2x = 92 + 20 ==> 2x = 112 ==> 112/2 ==> x=56

Y = x - 20 ==> y = 56 - 20 ==> y = 36.

If you choose x=20+y and replace x in the other relation you’ll find out y first and only after that you’ll find x.

Hope this helps☺️

Answer:

The coordinates are (50, 103)

Step-by-step explanation:

The three hallways are AB, BC, CD.

The co-ordinate of D is (50, 75).

The school's flagpole is 28 meters right of the point D.

Hence the y-coordinate for the flagpole will be same as D, that is 75.

The x-coordinate will be (28 + 75) = 103.

The location of the school's flagpole will be represented by (50, 103)

The 4th vertex of the rectangle is given by D ( 4 , -1 ) and the graph is plotted

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as S

Let the rectangle be represented as ABCD

The coordinates of A = A ( -1 , -1 )

The coordinates of B + B ( -1 , 1 )

The coordinates of C = C ( 4 , 1 )

So , the length of the rectangle = 4 units

The width of the rectangle = 2 units

So , the area of the rectangle S = 4 x 2 = 8 units

And , the 4th vertex of rectangle D = D ( 4 , -1 )

Hence , the coordinate D of rectangle is D ( 4 , -1 )

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Answer:

Step-by-step explanation:

6x + y = 30

-6x - 15y = 54

-14y = 84

y = -6

6x - 6 = 30

6x = 36

x = 6

(6, -6)

Answer:

x = 4√3, or approximately 6.93

Step-by-step explanation:

This is a right triangle with hypotenuse 13 and side lengths x and 11.  According to the Pythagorean Theorem, x^2 + 11^2 = 13^2 = 169, or

x^2 + 121 = 169, or

x^2 = 48.

x must be a positive quantity.  Thus, x = +√48 = + √3·√16 = +4√3

Thus, x = 4√3, or approximately 6.93

Answer:

150 miles

Step-by-step explanation:

Answer: The greatest number of flowers that could be in a bouquet = 2

Step-by-step explanation:

Given: Sandy has 10 roses, 2 daisies, and 8 tulips.

Each bouquet has the same number of flowers and the same type of flower.

The greatest number of flowers that could be in a bouquet = GCD (10,2,8)

Since 10=2 x 5, 8 = 2 x 2 x 2

GCD (10,2,8) =2

Then, The greatest number of flowers that could be in a bouquet = 2

i cant give you the answer but i know how u can figure it out, go to g00gle calculator or look up "Algebra Calculator"....you wont regret it!!!

you have to try to find a fraction that is similar to the first. so 7/14 and 5/10, 6/12, 4/8, 3/6, 2/4, 1/2, so on and so forth. so x can equal any number related to 7/14.

Answer:

algebraic expression. An expression that contains at least one variable, at least one numbers and at least one operation.

Step-by-step explanation:

Answer:

expressions

Step-by-step explanation:

this is how a definition in a textbook would be written. they just put a blank in

Answer:

$1.94

Step-by-step explanation:

The Margin on the discounted eggs is $2.392.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Store cost on a dozen eggs is $0.75,

and retail price is $2.99.

The amount of discount is 10%

Discount given on $2.99

= 10% of 2.99

= 0.1 x 2.99

= 0.299

Cost of eggs after discount =2.99-0.299= 2.691

So, The discounted eggs costs $2.691.

Hence, The difference in store cost and discounted cost = 2.691- 0.299                      

                                                                                               = $2.392

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Answer:

the 3rd one

Step-by-step explanation:

because it's in a pattern

Answer:

3rd.

Step-by-step explanation:

Answer:

₹40000, 66.6%

Step-by-step explanation:

Given data

Number of boxes= 50

Cost per box= ₹1200

Total cost= 50*1200= ₹60000

Total number of mangoes in all 50 boxes= 50*100= 5000 mangoes

Cost price per mago= 60000/5000=  ₹12

Selling price per mango=  ₹20

profit = selling price- cost price

profit=  20-12

proft=  ₹8

Total profit = 8*5000

Total profit= ₹40000

%profit = 40000/60000*100

%profit= 0.666*100

%profit= 66.6%

Answer:

Part 1 d/a = a/f

d/b = b/c

e/c = c/f

Explanation:

The triangles are similar.

This is about equal proportion. Look at the relationship between the short leg to the hypotenuse, short leg to long leg, and long leg to hypotenuse.

Part 2:

78

Explanation:

Calculate x, then substitute to get the lengths of the sides. Given equal angles, the two sides are equal.

5x –19 = 2x +11

3x = 30

x= 10

5(10) –19 = 31

2(10) + 11 = 31

Add the three sides: 31 +31 +16 = 78

Part 3:

Sin A= Cos B. both are a/b

Sin C= Cos A both are c/b

Sin C = c/b

Explanation:

Remember S=o/h, C=a/h , T=o/h

Look at the relationship of the sides to the angles given. If the sides match, the statement is true.

Sine of angle A is side a to side b. This is opposite/hypotenuse

Cosine of angle B is side a to side b This is adjacent/hypotenuse.

The lengths a and b are used in both. The hypotenuse don't change, but whether a side is considered an opposite or an adjacent depends on which angle you are looking at.

This can be confusing, but the more you practice, the easier it gets.

I hope this helps!

Answer:

[tex]3x - 4y \geqslant - 12[/tex]

Step-by-step explanation:

[tex]3x - 4y \geqslant - 12[/tex]

[tex] - 4y \geqslant - 3x - 12[/tex]

Y <= 3/4X +3

Answer: 3/10

Step-by-step explanation:

Since the rest of the trees are pears trees and plum trees in the ratio of 7:5 and there are 175 plum trees, the number of pear trees will be:

= 175 ÷ 5/7

= 175 × 7/5

= 245

Plum trees = 175

Pear trees = 245

Apple trees = 600 - (175 + 245)

= 600 - 420

= 180

Fraction of apple trees = Number of apple trees / Total number of trees

= 180/600

= 3/10

Answer:

36.008 or 36

Step-by-step explanation:

Use the equation for the length of any circular arc  

s = r(radians)  

s - length of a circular arc

r - radius  

radians - radian measure of the central angle  

Then, set-up the equation:  

s = r(radians)

70.7m = r(5pi/4)  

Get variable "r" on one side by multiplying both sides by 4/5pi, which should result in the following:  

r = 70.7m x 4/5pi  

then solve for r  

r = 282.8/5pi = 18.004  

The radius is half the diameter therefore just multiply the radius by 2  

d = 18.004 x 2  

= 36.008 or 36  

The diameter of the circle is 36 meters.

The arc is a portion of the circumference of a circle.

We have been given that an arc is 70.7 meters long and is intercepted by a central angle of 5π/4 radians.

We have to determine the diameter of the circle

For the length of the circular arc, use the equation.

⇒ 70.7 m = R(5π/4)  

Multiply both sides by 4/5π to get the variable "R" on one side, which should get the following:

⇒ R  = 70.7 m × 4/5π

⇒ R = 282.8/5π

∵ π = 3.14

⇒ R = 282.8/5(3.14)

⇒ R = 18.004  

Since the radius is equivalent to half the diameter, simply double the radius by 2.  

⇒ D = 18.004 × 2  

⇒ D = 36.008 ≈ 36  

Hence, the diameter of the circle is 36 meters.

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Answer:

4(m+4)

Step-by-step explanation:

4m+16

Rewriting

4*m + 4*4

Factor out 4

4(m+4)

Answer:

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.So the volume of the cube having side 15 mm is 3375 cubic inches.

Different Ways to Find Volume

Solve for Volume by Space. All physical objects occupy space, and you can find the volume for some of them by measuring their physical dimensions. ...

Solve for Volume by Density and Mass. Density is defined as an object's mass per a given unit of volume. ...

Solve for Volume by Displacement.

Step-by-step explanation:

Answer:

the anwser is (60-50)

Step-by-step explanation:

took the test

"If we leave now," she said. "We'll be right on time."

"Do you have dear Mr. Henshaw? Alice, ask the clerk."

Blvd.

add ness to strange making it strangeness

I think that the broken tv is the subject

Answer:

1) "If we leave now" she said, "We'll be right on time.

2) "Do you have deer, Mr. Henshaw?" Alice asked the clerk.

3) blvd.

4) Er (Strang-er)

5) Television

Step-by-step explanation:

:D

Answer:

C

Step-by-step explanation:

according to the standard equation;

Y=mX+C

or, Y=4/5X +3

the angle that is vertical to ABI is EBH

Answer:

let the size of the real item be x

then the size of model as prodived will be =

60% of X

60/100 × X

=3X/5 .

Complete Question

Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and five 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink

Answer:

The cost of

1 donut = x = $0.50

300ml carton of juice = y = $0.50

Step-by-step explanation:

Let the cost of

1 donut = x

300ml carton of juice = y

Max buys six donuts and a 300ml carton of juice for $3.50

6x + y = 3.50.....Equation 1

y = 3.50 - 6x

Susie buys four donuts and two 300ml carton of juice for $3.00

4x + 2y = 3...... Equation 2

Ben buys eight donuts and one 300ml carton of juice for $6.50

8x + 5y = 6.50......Equation 3

We substitute 3.50 - 6x for y in Equation 2

4x + 2y = 3...... Equation 2

4x + 2(3.50 - 6x) = 3

4x + 7 - 12x = 3

Collect like terms

4x - 12x = 3 - 7

-8x = -4

x = -4/-8

x = $0.50

Solving for y

y = 3.50 - 6x

y = 3.50 - 6(0.50)

y = 3.50 - 3.00

y = $0.50

Therefore:

The cost of

1 donut = x = $0.50

300ml carton of juice = y = $0.50