In the table, x represents minutes, and y represents the altitude of an airplane.

Altitude of an Airplane
Minutes, x
Altitude in feet, y
15
22,500
20
20,000
25
17,500
30
15,000

Which statement is correct about the slope of the linear function that the table represents?

Given:

She purchased adult ticket for herself and children tickets for her 2 boys.

Cost of one adult ticket = $39.99

Cost of one child ticket = $19.99

To find:

The expression to represent the total cost of the tickets Jenny purchased.

Solution:

Let x represent the number of adult ticket purchase

and y represent the number of child tickets purchase.

Cost of one adult ticket = $39.99

Cost of one child ticket = $19.99

Total cost = 39.99x + 19.99y

Therefore, the expression for total cost is 39.99x + 19.99y.

She purchased one adult ticket and 2 child tickets.

Substitute x=1 and y=2 in the above expression.

Total cost = 39.99(1) + 19.99(2)

               = 39.99 + 39.98

               = 79.97

Therefore, the required expression to represent the total cost of the tickets Jenny purchased is 39.99(1) + 19.99(2) and total cost is $79.97.

Answer:

Step-by-step explanation:

14: k^-3/k^4= 1/k^7

15: answer : 1/3²

16: n^-4

17: f-g^4 = 3-(-5)^4 = -622

18: (x^5-y^2)²+x³ =

(2^5-8^2)²+2³ =1032

19: m²-n³

6²-2³ = 36-8=28

20 : 2²×3²×5³= 4500

4500/10 = 450 islands

Answer:

_18__ student(s) for every 8 computers.

45 students for every _20_ computer(s).

Step-by-step explanation:

Answer:  y= 1/5 x + 8

Step-by-step explanation:

To get a perpendicular line, take the reciprocal of the original "m" in the equation and reverse the sign.

- 5 becomes +1/5

Then substitute the y and x values from the given coordinate into the new equation and solve for b

y= mx+b

6=1/5 (-10) + b

6 = -2 +b

8 = b   rewrite the new equation and substitute  8 for b

y= 1/5 x + 8

The attached screenshot shows the lines and the point.

Answer:

A. -1008

Step-by-step explanation:

9x-4=-36

-36x-4=-144

-144x-7=-1008

Answer:

just go on playstore and search for photomath

Answer:

2x+4x+5x=506

11x=506

x=46

92:184:230

Answer:

Ans: y = (-1/3)x + 2

Step-by-step explanation:

Perpendicular lines have slopes whose product is -1.  The slope given in

y = 3x - 2

is -3.

The slope of the perpendicular line will be m, and m needs to satisfy the equation

3 * m = -1

Hence m = -1/3.

Our perpendicular line is thus

y = (-1/3)x + b

for some constant b.

We are told that the perpendicular line goes through the point (-9,5).  If so, then the following must hold:

5 = (-1/3)(-9) + b

= 3 + b

b = 2

Ans: y = (-1/3)x + 2

Answer:

12/sin5°

Step-by-step explanation:

This angle can be calculated using the law of sine:

sin(angle)=opposite cathete/hypothenuse

sin(angle)=wall/ladder

In this exercise we want to calculate the length of the hypotenuse (ladder), so the equation is changed afterwards.

sin(angle)=wall/ladder

sin(angle)*ladder=wall

ladder=wall/sin(angle)

Now the given values are used:

ladder=wall/sin(angle)

ladder=12ft/cos(51°)

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

x + 64 > = 120 (thats a greater then or equal sign)

x > = 120 - 64

x > = 56...he needs to collect at least 56 more

Answer:

100.5

Step-by-step explanation:

divide 498.75 by 35

whatever you get from that add 2.50

then times it by 6

Answer:

$5.60

Step-by-step explanation:

$70 ⋅ 0.08 = $5.60

(I could be wrong. Sorry if I am. Don't get mad at me)

Hope I help :)

Please consider Brainliest :)

Answer:

The length of AB: 34

Step-by-step explanation:

What are we given?

B = Midpoint of AC

AB = 8x + 2

BC = 5x + 14

|--------------|--------------|

A               B               C

(This is what your line would look like)

Our equation would be:

AB + BC = AC

(8x + 2) = (5x + 14)

(AB)      =        (BC)

(Assuming that our line and points are evenly spread out, we can say that they can equal each other)

8x + 2 = 5x  +14

- 5x- 2 = -5x -2

---------------------

3x = 12

[tex]\frac{3x}{3}=\frac{12}{3}[/tex]

---------------------

x = 4

1) Substitute

(8x + 2) + (5x + 14) = AC

    (AB) + ( BC)       = AC

AB = 8(4) + 2

32 + 2

= 34

BC = 5(4) + 14 =

20 + 14

= 34

(We may be able to assume that since the length of the line is possible the same for AB and BC this is considered correct)

The length of the line segment AB is 34 units.

Given that, B is the midpoint of AC, AB = 8x + 2 and BC = 5x + 14.

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments. The midpoint of a line segment is the point on a segment that is at the same distance or halfway between the two ending points.

Since, B is the midpoint of AC

AB=BC

8x + 2=5x+14

Subtract 5x on both sides of the equation, that is

8x+2-5x=5x+14-5x

⇒ 3x+2 = 14

Transpose 2 to other side of the equation, we get

3x = 14 - 2

⇒ 3x=12

Transpose 3 to other side of the equation, we get

x=4

So, AB=8x+2

=8×4+2

=32+2=34 units

Therefore, the length of the line segment AB is 34 units.

To learn more about the line segment visit:

https://brainly.com/question/25727583.

#SPJ5

Answer:

5 less than triple the quotient of a number x and 7 is 3(x ÷ 7) - 5

Answer:

x=5

Step-by-step explanation:

trust me its right

Answer:

1 = 45

3 = 45

Step-by-step explanation:

[tex]\angle {1}[/tex] and [tex]\angle {3}[/tex] is 45 degrees since the unmarked angle is 90 degrees, meaning that BOTH [tex]\angle {1} and \angle {3}[/tex] are equal.

Answer:

-13

Step-by-step explanation:

first you will subsitute 5 for n in the  equation to get 3(5)-7m

next you will subsitute 4 for m in the equation to get 3(5)-7(4)

then solve: 3x5= 15

7x4= 28

15-28= -13

Answer:

7.62

Step-by-step explanation:

use distance formula

Answer:

[tex]\huge\boxed{\frac{\frac{3}{5}}{8}=\dfrac{3}{40}}[/tex]

Step-by-step explanation:

[tex]\dfrac{a}{b}=a:b\\\\a:b=a\cdot\dfrac{1}{b}\\\\========================\\\\\dfrac{\frac{3}{5}}{8}=\dfrac{3}{5}:8=\dfrac{3}{5}\cdot\dfrac{1}{8}=\dfrac{3\cdot1}{5\cdot8}=\dfrac{3}{40}[/tex]

Answer:

0.025

Step-by-step explanation:

Answer:

0.029

Step-by-step explanation:

1 milligram is equivalent to 0.001 grams, so 29*0.001=0.029.

it’s the second one..................

Answer:

0.48

Step-by-step explanation:

Just move back one decimal point of 4.8

Answer: I just did this one lol

Step-by-step explanation:

10 percent *4.8 =

(10:100)*4.8 =

(10*4.8):100 =

48:100 = 0.48

Now we have: 10 percent of 4.8 = 0.48

Question: What is 10 percent of 4.8?

Percentage solution with steps:

Step 1: Our output value is 4.8.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$4.8=100\%$.

Step 4: Similarly, $x=10\%$.

Step 5: This results in a pair of simple equations:

$4.8=100\%(1)$.

$x=10\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{4.8}{x}=\frac{100\%}{10\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{4.8}=\frac{10}{100}$

$ x=0.48$

Answer:

Step-by-step explanation:

The rule is that the exterior angle (ACD) is equal to the sum of the remote interior angles (the two marked angles on the right).

You are expected to use this relation to write and solve an equation.

  exterior angle = angle D + angle B

  (2x +16) = 58 + (x+12)

  2x +16 = x +70

  x + 16 = 70

  x = 54

Then angle ACD is ...

  angle ACD = (2x +16)° = (2·54 +16)°

  angle ACD = 124°

Answer:

$840

Step-by-step explanation:

First, multiply 70 by $150 to get the total amount the Alonzo earned

70 x 150 = 10,500

Then, multiply 10,500 by 1.08 to find the total amount made with commissions.

10,500 x 11,340

Finally, subtract 10,500 from 11,340 to find the amount of money earned from commissions.

11,340 - 10,500 = 840

Answer:

$840

Step-by-step explanation:

Start by finding the total profit made:

70 • $150 = $10500

Then multiply the total by the commission rate, %8, which is equal to 0.08:

$10500 • 0.08 = $840

The answer is $840

Answer:

10

Step-by-step explanation:

−6+14−9−(−3)+8

=8−9−(−3)+8

=−1−(−3)+8

=2+8

=10

-6 + 14 - 9 - (-3) + 8

8 - 9 - (-3) +8

-1 + 3 + 8

2 + 8

10

x³-3x²+81x-243

x³-3x²+81x-243

Answer : (x-3)(x²+81)

Answer:

2,095,426.517

Step-by-step explanation:

From the question above we are required to find the product of 698475.50585057 and 3

Therefore the product can be calculated as follows

698475.50585057 × 3

= 2,095,426.517

Hence 698475.50585057 multiplied by 3 is 2,095,426.517