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
horsena [70]
3 years ago
9

Katie is buying souvenir gifts for her big family back home. She wants to buy everyone either a key chain or a magnet. The magne

ts are on sale for 50 cents each and the key chains cost $1 each. She must purchase at least 24 gifts but has to spend less than $20. Let x represent the number of magnets and y represent the number of key chains . A. Model the scenario with a system of inequalities..
Mathematics
2 answers:
lawyer [7]3 years ago
8 0
Make an inequality representing both constraints.

0.5x+y<20

x+y≥24
stepladder [879]3 years ago
5 0
Can it be 24<=0.5k+1m<=20 (k being #of key chains and m being #of magnets)
You might be interested in
Tanyas baked goods took in 175$ To help raise money for the chorus club .Tanya need to spend 32$ for baking supplies write and e
elena-s [515]

Step-by-step explanation:

6 I think that is the answer I hop you get it right

3 0
3 years ago
The value of
marusya05 [52]

\large\underline{\sf{Solution-}}

We have to find out the value of the fraction.

<u>Let us assume that:</u>

\sf \longmapsto x =2 +   \dfrac{1}{2 +  \dfrac{1}{2 +  \dfrac{1}{2 + ... \infty} } }

<u>We can also write it as:</u>

\sf \longmapsto x =2 + \dfrac{1}{x}

\sf \longmapsto x =\dfrac{2x + 1}{x}

\sf \longmapsto  {x}^{2}  =2x + 1

\sf \longmapsto {x}^{2}  - 2x - 1 = 0

<u>Comparing </u>the given <u>equation</u> with <u>ax² + bx + c = 0,</u> we get:

\sf \longmapsto\begin{cases} \sf a =1 \\ \sf b =  - 2 \\ \sf c =  - 1 \end{cases}

<u>By quadratic formula:</u>

\sf \longmapsto x =  \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}

\sf \longmapsto x =  \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1}

\sf \longmapsto x =  \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1}

\sf \longmapsto x =  \dfrac{2 \pm \sqrt{8} }{2}

\sf \longmapsto x =  \dfrac{2 \pm2 \sqrt{2} }{2}

\sf \longmapsto x = 1 \pm\sqrt{2}

\sf \longmapsto x = \begin{cases} \sf 1  + \sqrt{2} \\ \sf 1 -  \sqrt{2}  \end{cases}

<u>But </u><u>"</u><u>x"</u><u> cannot be negative. Therefore:</u>

\sf :\implies x = 1 + \sqrt{2}

So, the value of the fraction is 1 + √2.

4 0
2 years ago
Gianna is making two different salads. One calls for 3 3/4 cups chopped spinach. The other calls for 2 2/3 cups chopped spinach.
ch4aika [34]
<h2> The answer is very simple add the whole numbers then find the LCM of 3 and 4 which is 12 then multiply 3/4 by 3 which will be 9/12 then multiply 2/3 by 4 which will be 9/12 then we add 9/12 + 8/12 which will equal to 5 17/12 which we can reduce and answer will be 6 5/12 spinach.</h2>
8 0
2 years ago
If total liabilities decreased by $60,000 and stockholders' equity increased by $20,000 during a period of time, then total asse
Lena [83]

Answer:

$40,000 decrease

Step-by-step explanation:

Change in total assets = Total Liabilities Decreased- StockHolders' equity increased

Change in total assets = 60000 - 20000

Change in total assets = $40,000 decrease

So, If total liabilities decreased by $60,000 and stockholders' equity increased by $20,000 during a period of time,<u><em>then the change in total assets will consist of a </em></u><u><em>decrease of $40,000 </em></u>

3 0
3 years ago
12.93 is what percent of 172.40?
Maurinko [17]

Answer:

<h2>7.5%</h2>

Step-by-step explanation:

METHOD\ 1:\\\\\begin{array}{ccc}172.4&-&100\%\\12.93&-&p\%\end{array}\qquad\text{cross multiply}\\\\172.4p=(12.93)(100)\\\\172.4p=1293\qquad\text{divide both sides by 172.4}\\\\p=7.5\ (\%)

METHOD\ 2:\\\\\dfrac{12.93}{172.4}\cdot100\%=\dfrac{1293}{17240}\cdot100\%=0.075\cdot100\%=7.5\%

6 0
3 years ago
Read 2 more answers
Other questions:
  • On the first day of school, Mr. Vilani gave his third- grade students 5 new words to spell. On each day of school after that, he
    15·1 answer
  • The table shows the position of each runner relative to when the first place finisher crossed the finished level. Who finished i
    10·1 answer
  • The William family wants to buy these toys. they have $20 bills ,$10 bills, $5 bills and $1 bills. they want to use the least nu
    5·1 answer
  • The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.
    7·1 answer
  • ΔHAT is similar to ΔCAN.
    11·2 answers
  • Molly and Torry like to eat ice cream sandwiches. In one week, Molly are 5 ice cream sandwiches, and Torry ate n ice cream sandw
    11·1 answer
  • Maria wrote the equation of a line that has a slope of Four-thirds and passes through point (3, 5). Which statement is true?
    7·2 answers
  • Write the equation of the line perpendicular to y = 6/5x + 4/5 that passes through the point (-3,2).
    12·1 answer
  • The answer is similar.
    10·1 answer
  • Solve for W.<br><br> 7=LW<br><br> W=
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!