1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
s2008m [1.1K]
3 years ago
13

A cab charges $1.75 for the flat fee and $0.25 for each mile. Write and solve an inequality to determine how many miles Eddie ca

n travel if he has $15 to spend.
$1.75 + $0.25x ≤ $15; x ≤ 53 miles
$1.75 + $0.25x ≥ $15; x ≥ 53 miles
$0.25 + $1.75x ≤ $15; x ≤ 8 miles
$0.25 + $1.75x ≥ $15; x ≥ 8 miles
Mathematics
2 answers:
pogonyaev3 years ago
6 0
It is either c or d
because when u are calculating you have to consider the flat fee and .25 miles per hour
OLga [1]3 years ago
5 0

Answer:

$1.75 + $0.25x ≤ $15; x ≤ 53 miles

Step-by-step explanation:

The cab charges 0.25 for each mile, this can be represented as 0.25x. But to start with, the cab will charge 1.75 dollars for the flat free.

Therefore, the inequality would be:

1.75 +0.25x ≤ 15.

Solving this equation we get:

1.75 + 0.25x ≤ 15

0.25x ≤ 15 - 1.75

0.25x ≤ 13.25

x ≤ 13.25 / 0.25

x ≤ 53

You might be interested in
A sidewalk is built 12 bricks wide by laying each brick side by side.how many inches wide is this sidewalk is each brick measure
yaroslaw [1]

To solve for the width simply multiply the two numbers:

width of sidewalk = 12 * (3 7/8)

 

Where 3 7/8 = 31/8

 

so calculating,

width of sidewalk = 12 * (31 / 8)

<span>width of sidewalk = 46.5 inches</span>

5 0
3 years ago
Read 2 more answers
Deviation is the difference between any value and the mean of the set.
faust18 [17]
The answer to this question is true. Based on my knowledge and research, the deviation is, in fact, the difference between any value and the mean of the entire set.
7 0
3 years ago
Solve the given initial-value problem. x^2y'' + xy' + y = 0, y(1) = 1, y'(1) = 8
Kitty [74]
Substitute z=\ln x, so that

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm dz}\cdot\dfrac{\mathrm dz}{\mathrm dx}=\dfrac1x\dfrac{\mathrm dy}{\mathrm dz}

\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1x\dfrac{\mathrm dy}{\mathrm dz}\right]=-\dfrac1{x^2}\dfrac{\mathrm dy}{\mathrm dz}+\dfrac1x\left(\dfrac1x\dfrac{\mathrm d^2y}{\mathrm dz^2}\right)=\dfrac1{x^2}\left(\dfrac{\mathrm d^2y}{\mathrm dz^2}-\dfrac{\mathrm dy}{\mathrm dz}\right)

Then the ODE becomes


x^2\dfrac{\mathrm d^2y}{\mathrm dx^2}+x\dfrac{\mathrm dy}{\mathrm dx}+y=0\implies\left(\dfrac{\mathrm d^2y}{\mathrm dz^2}-\dfrac{\mathrm dy}{\mathrm dz}\right)+\dfrac{\mathrm dy}{\mathrm dz}+y=0
\implies\dfrac{\mathrm d^2y}{\mathrm dz^2}+y=0

which has the characteristic equation r^2+1=0 with roots at r=\pm i. This means the characteristic solution for y(z) is

y_C(z)=C_1\cos z+C_2\sin z

and in terms of y(x), this is

y_C(x)=C_1\cos(\ln x)+C_2\sin(\ln x)

From the given initial conditions, we find

y(1)=1\implies 1=C_1\cos0+C_2\sin0\implies C_1=1
y'(1)=8\implies 8=-C_1\dfrac{\sin0}1+C_2\dfrac{\cos0}1\implies C_2=8

so the particular solution to the IVP is

y(x)=\cos(\ln x)+8\sin(\ln x)
4 0
3 years ago
A baseball is hit into the​ air, and its height h in feet after t seconds is given by h(t)= -16t^2+128t+2. The height of the bas
tankabanditka [31]

Answer:

\large \boxed{\sf \ \text{2 feet, 4 seconds, 258 feet } \ }

Step-by-step explanation:

Hello,

To know the height of the baseball when it is hit we have to compute h(0), as t = 0 is when the baseball is hit into the air.

h(0)=-16\cdot 0^2+128 \cdot 0+2=2

So, the answer is <u>2 feet.</u>

<u />

h(x) is a parabola which can be written as ax^2+bx+c, it means that the vertex is the point (-b/2a,h(-b/2a)).

The baseball reached its maximum height after

   \dfrac{-b}{2a}=\dfrac{-128}{-2*16}=\boxed{4 \text{  seconds}}

And the maximum height of the baseball is h(4).

h(0)=-16\cdot 4^2+128 \cdot 4+2=-256+512+2=\boxed{258 \ \text{feet}}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0
3 years ago
Joel measured the middle school. The gym, which is 51 feet wide in real life, is 34 inches wide in the drawing. What scale did J
Dominik [7]
51 feet in real life is represented by 34 inches on paper.

51 feet : 34 inches

34 inches : 51 feet.

Note: 1 feet = 12 inches.

34 inches : 51 feet

34 inches : 51 * 12 inches

34 : (51* 12)

1 : (51 * 12 ) / 34

1 : 18

So the scale of the drawing is  1 : 18.

Hope this helps.
5 0
3 years ago
Other questions:
  • 6. Mr Wade works for 5 straight
    10·1 answer
  • How can i solve the equation 4(2x+7)
    14·2 answers
  • What is the area of the triangle?<br>PLSSS help me
    11·1 answer
  • Find the areas of at least two of the triangles below. Show your reasoning.<br> help plzz
    7·1 answer
  • Select the two values of x that are roots of this equation. 3x - 5 = -2x2<br>​
    9·1 answer
  • If y=-12 when x=9, find y when x=-4<br> please answer quickly
    6·1 answer
  • Gerald notices that the bank of lockers outside his math classroom are numbered 511, 513, 515, ..., 575. Determine the number of
    9·2 answers
  • I need a lot of help please! ):<br><br> If you don’t know please do not comment.
    10·2 answers
  • 12 people can fit in a room that is 9 feet by 4 feet. How many people will fit in a room that is 6 yards by 6 yards
    8·1 answer
  • What is a formula for the nth term of the given sequence?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!