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
Lilit [14]
3 years ago
14

At a school cafeteria a cold lunch costs $1.80, and a hot lunch costs $3.00. During one school year a teacher spent a total of $

288.60 on cold lunches and hot lunches. The number of cold lunches the teacher bought was 1 fewer than swice the number of hot lunches the teacher bought.
Which system of equations can be used to find c, the number of cold lunches, and h, the number of hot lunches, the teacher bought during the school year?
Mathematics
1 answer:
Fudgin [204]3 years ago
6 0

Answer:

H=44

C=87

Step-by-step explanation:

1.8 (C) + 3.00 (H) = 288.6

C= 2H-1

1.8 (2H-1) + 3 (H) = 288.6

3.6 H -1.8 + 3 H = 288.6

6.6 H = 290.4

H= 290.4/6.6 = 44

C=87

You might be interested in
If r(x) = 3x - 1 and s(x) = 2x + 1, which expression is equivalent to (r/s)(6)?
Nana76 [90]

Answer:

Step-by-step explanation:

(r/s)(x) is the quotien of r(x) = 3x - 1 and s(x) = 2x + 1:

  r            3x - 1

(-----)(x) = ----------

  s            2x + 1

8 0
3 years ago
Points H and F lie on circle c What is the length of line segment GH?
Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on  circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2} ......(ΔEGC is a right triangle)

(GC)^{2} = (GE)^{2} +(EC)^{2}

(GH + 9)^{2} = (9)^{2} +(12)^{2}

(GH )^{2} + (9)^{2} + 18GH = 81 + 144

(GH )^{2} + 81 + 18GH = 81 + 144

(GH )^{2} + 18GH = 144

Now, Let GH = <em>x</em>

x^{2} +18x = 144

On rearranging,

x^{2} +18 x - 144 = 0

x^{2} - 6x +24x + 144 = 0

x (x-6) + 24 (x - 6) =0

(x - 6) (x + 24) = 0

So x = 6  and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

3 0
3 years ago
Read 2 more answers
What is x/9 = 9/27 help plz
Irina18 [472]
<h3><u>QUES</u><u>TION</u><u>:</u><u> </u></h3>

what is x/9 = 9/27 help plz

<h3><u>ANSWER</u><u> </u><u>AND</u><u> </u><u>SOLU</u><u>TION</u><u>:</u><u> </u></h3>

  • SOLVING FOR X

<u>Reduce</u><u> </u><u>first</u><u> </u><u>the</u><u> </u><u>fraction</u><u> </u><u>with</u><u> </u><u>9</u>

\large \sf  = \dfrac{x}{9}  =  \dfrac{ \cancel9}{ \cancel{27}}

<u>\large \sf =  \dfrac{x}{9}  =  \dfrac{1}{3}</u>

<u>Now</u><u> </u><u>simpli</u><u>fy</u><u> </u><u>using</u><u> </u><u>cross-multiply</u>

<u>\large \sf  = \dfrac{3x}{9}  = 1</u>

<u>\large \sf = 3x = 1 \times 9</u>

<u>\large \sf = 3x = 9</u>

<u>Lastly</u><u> </u><u>divide</u><u> </u><u>both</u><u> </u><u>sides</u>

<u>\large \sf = 3x \div 3 = 9 \div 3</u>

<u>\large \sf = x = 9  \div 3</u>

<u>\large \sf = x = 3</u>

<h3><u>FINAL</u><u> </u><u>ANSWER</u><u>:</u></h3>

\huge \orange{ \underline{ \boxed{ \sf{x = 3}}}}

HOPE THIS HELP YOU! HAVE A NICE DAY!

~kimtaetae92~

7 0
3 years ago
Consider a graph for the equation y= -3x+4. What is the y intercept?
Alexeev081 [22]

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 4 is in this form

with y- intercept c = 4 → A


3 0
3 years ago
Read 2 more answers
What is 9%+278.045 or 278.045+9%
rodikova [14]
The answer to this equation would be 278.135
3 0
3 years ago
Other questions:
  • brllie rides her bike 176.25 miles in three weeks. she averaged 11.75 miles per hour each tim she ride. hiw many hours did it ta
    15·1 answer
  • The value given below is discrete. Use the continuity correction and describe the region of the normal distribution that corresp
    5·1 answer
  • Aidan is saving money to buy a new computer . He made a scatter plot and a linear model for the amount of money he has saved ove
    11·2 answers
  • I been stuck on dis anybody know it?
    7·1 answer
  • Please show what you did to find the answer thank you!
    10·1 answer
  • Jody practiced a piano piece for 500 seconds bill practiced a piano piece for 8 minutes who practiced longer explain
    8·1 answer
  • Solve the inequality 3(4-6)+ 2≥2(-t+3)+4
    14·2 answers
  • Which of the combined rectangles has an area of 40 square​
    14·1 answer
  • True or False? A circle could be circumscribed about the quadrilateral below.
    12·2 answers
  • There are 250 students in the 6th grade. 45 percent of the students eat lunch 4th period. How many students eat lunch 4th period
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!