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
Y_Kistochka [10]
3 years ago
14

Mrs. Mott called two companies about getting new uniforms for the soccer team. The first company she called charges $70 per unif

orm. The second company she called charges $280plus $30 per uniform. For how many uniforms will the cost from the first company be less expensive than the cost from the second company?
Mathematics
1 answer:
Fittoniya [83]3 years ago
5 0

Answer:

For less than 7 uniforms.

Step-by-step explanation:

The first company she called charges $70 per uniform.

So, the cost of x uniforms will be $70x.

The second company she called charges $280 plus $30 per uniform.

So, the cost of x uniform will be $(280 + 30x).

Now, if the total cost of purchasing x number of uniforms from the first company is less than that from the second company then, we can write the inequality equation as  

70x < 280 + 30x

⇒ 70x - 30x < 280

⇒ 40x < 280

⇒ x < 7

Therefore, for less than 7 uniforms the cost from the first company will be less than the cost from the second company. (Answer)

You might be interested in
If the parent function f(x) = x^2 is fatter translated 11 units to the left, then translated 5 units down, write the resulting f
nikklg [1K]

The quadratic function given by:


f(x)=a(x-h)^2+k, \ \ \ a\neq 0


is in vertex form. The graph of f is a parabola whose axis is the vertical line x=h and whose vertex is the point (h, k). So:


To translate the graph of a function to the right, left, upward or downward we have:

For \ a \ positive \ real \ number \ c. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:\\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ g(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ g(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{right}: \\ g(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{left}: \\ g(x)=f(x+c)


By knowing this things, we can solve our problem as follows:


FIRST.

  • Translating <em>11 units to the left:</em>

g(x)=f(x+11) \\ \\ \therefore g(x)=(x+11)^2


  • Then translating<em> 5 units down:</em>

g(x)=f(x)-c \\ \\ \therefore g(x)=(x+11)^2-5


Since the new function is fatter, the factor we need to multiply the term (x+11)^2 <em>must be</em> less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.


<em>Therefore, the right answer is </em><em>b. f(x) = 1/2(x + 11)^2 - 5</em>


SECOND.

  • Translating <em>8 units to the right:</em>

g(x)=f(x-8) \\ \\ \therefore g(x)=(x-8)^2


  • Then translating<em> 1 unit down:</em>

g(x)=f(x)-c \\ \\ \therefore g(x)=(x-8)^2-1


As explained in the previous case, there are two factors 1/3 and 3, so we choose the first one.


<em>Therefore, the right answer is </em><em>a. g(x) = 1/3(x - 8)^2 - 1</em>

7 0
3 years ago
you are purchasing a house 12 years from now the estimated purchase price is $171,600 you want to make a 20% down payment how mu
IRINA_888 [86]

Answer:The answer would be $238.33 a month

7 0
2 years ago
1/2x+2 = x/2x^2+8<br><br> Show work plz
Igoryamba

Answer:

x=24

Step-by-step explanation:

1/2x+2 = 1/2x^2+8

1/2x^2=1/4x

1/2x+2=1/4x+8

1/2x -1/4x =0.25x

0.25x+2=8

8-2=6

0.25x=6

0.25/6 = 24

x=24

7 0
3 years ago
Read 2 more answers
5x1/3 as a mixed number​
Rasek [7]

Answer:

1\dfrac23

8 0
3 years ago
Read 2 more answers
The ratio of the income of two persons is 4:3. Each of them saves RS 200 yearly. find their yearly income​
SVEN [57.7K]
I need points im sorry
5 0
2 years ago
Other questions:
  • Please i’m not good at math i need help i’m doing summer school online and i need help
    14·1 answer
  • 16+5x=8x-5 What would the variable be?
    5·1 answer
  • determine the average rate of change of the function between the given variables h(x) = x; x=a, x=a+h​
    15·1 answer
  • The​ _____ _____, denoted ModifyingAbove p with caretp​, is given by the formula ModifyingAbove p with caretpequals=​_____, wher
    8·1 answer
  • URGENT HELP NEEDED!!!
    8·1 answer
  • Who can tutor me for free
    8·1 answer
  • Find the volume of the given prism. Round to the nearest tenth if necessary.
    14·1 answer
  • Solve eight and two fourths minus three and one third
    14·1 answer
  • Find the length of the segment AB.
    9·2 answers
  • How do u calculate pythagoras therorem
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!