please help me Herbert and Samantha are both driving from Orlando to Miami. Herbert
leaves at 9:00 and averages 60 mph (miles per hour) on the way. Samantha
leaves at 9:10 and averages 65 mph on the way. The situation is modeled by
this system, where x is the number of hours after Samantha leaves and y is
the distance each will travel:
y = 60x + 10
y = 65x
How long after Samantha leaves will she pass Herbert, and how far will they
each have traveled?
A. Samantha will not pass Herbert, because she will never catch up
with him
B. Samantha will pass Herbert after 3 hours, and they each will have
traveled 180 miles.
O C. Samantha will pass Herbert after 2 hours, and they each will have
traveled 130 miles.
O D. Samantha will pass Herbert after 3 hours, and they each will have
traveled 190 miles.

Answer:

Shade 2 of the pieces

Step-by-step explanation:

Answer: 92

Step-by-step explanation: 18k + 22p - 10 = 18(2) + 22(3) - 10 = 36 + 66 - 10 = 92

The expression for the total cost is 18k + 22p - 10. The correct option is C.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given:

Paddle board= $22/h

Kayak = $18 / h

and coupon of $10

Thompson travel for 'k' hours in the kayak and 'p' hours on the paddleboard then the expression will be formed as:-

18k + 22p - 10

Here (-10) represents a discount from the coupon of $10.

Therefore, the expression for the total cost is 18k + 22p - 10. The correct option is C.

The complete question is attached with the answer below.

Learn more about expression here:

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Answer:

1. 6)

2.)12

3.) 15

Step-by-step explanation:

Answer:

1. 6

2. 12

3. 15

Step-by-step explanation:

1. -3 + 9 = 6

2. 12 - 7 = 5

3. 11 + 4 = 15

Answer:

[tex]\frac{21}{2}[/tex]

Step-by-step explanation:

Given

a₁ = 6

a₂ = 12 , then

a₃ = [tex]\frac{6+12}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9 ← an integer

a₄ = [tex]\frac{12+9}{2}[/tex] = [tex]\frac{21}{2}[/tex] ← not an integer

Thus the fourth term is not an integer

Given:

Population of city = [tex]8\times 10^4[/tex]

It is about 20 times as great as the small town.

To find:

The approximate population of the small town.

Solution:

Population of city is about 20 times as great as the small town. It means,

[tex]\text{Population of city}=20\times \text{Population of small town}[/tex]

[tex]\dfrac{\text{Population of city}}{20}=\text{Population of small town}[/tex]

On substituting Population of city = [tex]8\times 10^4[/tex], we get

[tex]\text{Population of small town}=\dfrac{8\times 10^4}{20}[/tex]

[tex]\text{Population of small town}=\dfrac{8\times 10\times 10^3}{20}[/tex]

[tex]\text{Population of small town}=4\times 10^3[/tex]

Therefore, the population of the small town is [tex]4\times 10^3[/tex].

Answer:

42

Step-by-step explanation:

6 + 2r + 10

Input r=13 into the equation

6 + 2(13) + 10

6 + 26 + 10

32 + 10

42

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Answer:

42

Step-by-step explanation:

6+(r+5)2; r=13, S=2

Lets plug in what we know

6+(13+5)2 (Solve what is in the parentheses)

6+(18)2 (The 2 behind the parentheses is the same as a 2 in front of the parentheses. You will still multiply by 2)

6+36

42

Answer:

the first line is the answer

Answer:

Step-by-step explanation:

-2(2x+3)≤26

-4x-6≤26

-4x≤32

the tricky part.. b/c the negative sign moves across the inequality sign, ≤ , it is flipped to ≥.  But only when multiplying or dividing.. not for subtraction ..it's confusing , yes.

x≥-8

so X is equal to or greater than 8 ,  :)  does that help?

Answer:

Following are the solution to this question:

Step-by-step explanation:

The new rate is just [tex]\$ \ 175[/tex] per month, let's call it rate A:

[tex]\to A = 175[/tex]

The new price is [tex]\$ \ 94[/tex] plus[tex]\$ \ 4.50[/tex] per device and let us name it rate B:

[tex]\to B = 93 + 2.40 \ x[/tex]

Here x is the number of service devices, In order to find x, the formula of inequalities is less than the current plan:

[tex]\to 94 + 4.50\ x < 175[/tex]

Solve the value for x:

[tex]\to 4.50\ x < 81 \\\\ \to x < 18[/tex]

There are also less than 18 units.

Answer:

t=5

Step-by-step explanation:

y represents height above the ground.

so when it touches the ground height above the ground =0

y=-16t²+80 t

it will hit the ground when y=0

-16t²+80t=0

-16t(t-5)=0

either t=0 or t-5=0

or t=5

t=0 gives initial value.(rejected)

t=5

Answer:

BC=9

Step-by-step explanation:

AC=AB+BC

26=9x+8+7x+2

16x+10=26

16x=16

x=1

BC = 7*1+2=7+2=9

Answer:

BC = 9

Step-by-step explanation:

First, you need to find what x is and then plug it into the equation for BC.

You can do this by setting both equations equal to 26, which is the total length.

9x+8+7x+2=26

16x=16

x=1

Now that we know x is 1, plug it into BC:

BC = 7(1)+2

BC = 7+2

BC = 9

Answer:

< or >

Step-by-step explanation:

Answer

If it's open, its just greater than or less than. If it's closed, its greater than or equal to / less than or equal to.

Answer:

x = 13

Step-by-step explanation:

The sum of these two equations has to equal 180 since they are adjacent to each other. Combine the two equations with an addition sign inbetween and set it equal to 180.

5x+6+8x+5 = 180

13x+11 = 180

13x = 169

x = 169 / 13

x = 13

To check your answer plug in 13 for x in each equation, you should get 71 degrees for 5x+6 and 109 degrees for 8x+5. Adding 71 and 109 gives you 180, so the answer is correct.

∠(5x + 6)° and ∠(8x + 5)° are a linear pair, which means their sum will add upto 180° .

[tex] = 5x + 6 + 8x + 5 = 180[/tex]

[tex] = 13x + 6 + 5 = 180[/tex]

[tex] = 13x + 11 = 180[/tex]

[tex] = 13x = 180 - 11[/tex]

[tex] = 13x = 169[/tex]

[tex] = x = \frac{169}{13} [/tex]

[tex]\implies\color{olive} {\: x =\color{hotpink} 13}[/tex]

∠(5x + 6)° :-

[tex] = 5 \times 13 + 6[/tex]

[tex] = 65 + 6[/tex]

[tex]\color{olive}∠(5x + 6)°\color{hotpink} = 71° [/tex]

∠(8x + 5)° :-

[tex] = 8 \times 13 + 5[/tex]

[tex] = 104 + 5[/tex]

[tex]\color{olive}∠(8x + 5)°\color{hotpink} = 109° [/tex]

As the measure of both angles are adding up to form 180° (71+109=180), we can conclude that we have found out the correct value of x .

Therefore , the value of :-

[tex]\boxed{\color{hotpink}x = \bold13}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

52 m

Step-by-step explanation:

(a^2) + (b^2) = (c^2)

(39^2) + (b^2) = (65^2)

(39^2) + (b^2) = (65^2)

1521 + (b^2) = 4225

(b^2) = 2704

b = 52

Answer:

use Pythagoras   theorem  to solve this

[tex]C^{2}[/tex]= [tex]A^{2}[/tex]+[tex]B^{2}[/tex]

C is always the hypotenuse of a triangle  

Step-by-step explanation:

[tex]65^{2}[/tex] = [tex]39^{2}[/tex] +[tex]B^{2}[/tex]

my calculator tells me that..

4225 =1521 +[tex]B^{2}[/tex]

2704 = [tex]B^{2}[/tex]

[tex]\sqrt{2704}[/tex] = B

52=B  

nice .. it worked out to a nice whole number

Answer:

-6.05+(-3.611)=-9.661

Step-by-step explanation:

Answer:

A, D

Step-by-step explanation:

A: I goes down 2 and right 5

B: It does not go down 3 and right 2

C: It does not go up 2 and right 5

D: It goes down 5 and right 2

Answer:  The distance between (-1,2) and (4,0) is about 5.4 units

Step-by-step explanation:  You can use the Pythagorean Theorem to calculate the distance.

The difference in x-values is one side of the triangle  4- (-1) = 5  Side a

The difference in y-values is the other side  0- 2 = -2  Side b

The distance you are looking for is the hypotenuse, side c

Pythagorean Theorem : substitute the numbers we found for a and b

c² = a² + b²

c² = 5² + -2²

c² = 25 + 4

c² = 29    

29  is the "square on the hypotenuse."  So take the square root (use a calculator)

√29 = 5.385

You can round that to 5.4 units

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco

Answer:

true

Step-by-step explanation:

Answer: x=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

Answer:

You did not attach the picture

Step-by-step explanation:

Answer:

4.92 ounces

Step-by-step explanation:

Ashley has 5 bags of flour

She has two smaller bags with .75 ounces in each

= 2 × 0.75 ounces

= 1.5 ounces

3 bigger bags which has 1.14 ounces in each.

= 3 × 1.14 ounces

= 3.42 ounces

How much flour does she have in total?

This is calculated as

1.5 ounces + 3.42 ounces

= 4.92 ounces

Therefore she has 4.92 ounces of flour in total.

Answer:

6^5 (6 to the 5th power)

Step-by-step explanation:

6 is being mulitiplied 5 times  

Answer: it would be 6 with the tiny 5 in the upper right hand corner.// the exponent is 5

Step-by-step explanation: I am not the best at explanations but i will try. It is because there are 5 sixes.

Answer:

its 7/20

jfkefek

Answer:

The answer is 0.35

Step-by-step explanation:

Because 7/10 is 0.70, divide it by 2 and get 0.35 which is half of 0.7

Answer:

7(8+x)

Step-by-step explanation:

Answer:

Step-by-step explanation:

7(8+p)