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
miv72 [106K]
3 years ago
8

Mrs. Smith decides to buy three sweaters and a pair of jeans. she had $120 in her wallet. if the price of jeans is $35, what is

the highest possible price (p) of a sweater, if each sweater, if each sweater is the same price? write, solve, and graph the inequality.

Mathematics
2 answers:
mylen [45]3 years ago
5 0

Answer:

The highest possible price of a sweater is $28.33

Step-by-step explanation:

We already know that price j of jeans is $35.Let's say Mrs.Smith buys 3 sweaters for p dollars each, and since her budget is $120 we have the inequality:

3p+j\leq 120\\ \\\\=3p+35\leq 120

Therefore

p\leq 28.33

Thus the maximum price of a sweater is $28.33

USPshnik [31]3 years ago
4 0

Answer:

<h2>The highest price possible of a sweater is $28.33.</h2>

Givens

  • Mrs. Smith decides to by three sweaters and a pair of jeans.
  • She had $120, that's the restriction, so she cannot spend more than that.

Let's represents sweaters with x and jeans with y. The inequality that models this situation is

3x+y\leq 120

There you can observe the money restriction and the exact number per item she wants to buy.

To find the solution of this inequality, we have to draw the line 3x+y=120, which represents the border of the solution area.

Then, we evaluate the inequality with a test point (0,0).

The image attached shows the result of this process. Notice that the solution area is below the line, beacuse (0,0) must be part of the solution area.

However, we already know that jeans costs $35, replacing it in the expression, we have

3x+35\leq 120\\x=\leq \frac{120-35}{3}\\ x\leq 28.33

Therefore, the highest price possible of a sweater is $28.33.

(The second image attached shows this result)

You might be interested in
NEED HELP FAST!!!
mina [271]
Remember

we can do anything to an equation as long as we do it to both sides

try to isolate the variable

you have 2 types
x+b=c
x/b=c

fior the first type, minus b from both sides to get
x=c-b

for the second, multiply both sides by b to get rid of the fraction to get
x=cb

also remember that -x times -1=x



b.add 25 to both sides
-a=20
multiply -1
a=-20


c.
-t/8=-4
multiply both sides by 8
-t=-32
mutiply -1
t=32

d. -n/-5=-30
mulitply both sides by -5
-n=150
multiply both sides by -1
n=-150

e. multiply both sides by 12
-l=144
multiply b y-1
l=-144
4 0
3 years ago
Read 2 more answers
Alex has 3,330 toothpicks . He wants to use them all to make a floor mat with 18 equal rows . How many toothpicks should Alex us
Rudik [331]

Answer:

Step-by-step explanation:

for this problem we have to

3330/18=185 toothpicks for each row

6 0
3 years ago
Read 2 more answers
A granola recipe calls for 2 1/3 cups of almonds. A bag of almonds contains 1/4 cups. How many bags will be needed for the recip
Sholpan [36]

9 I think because 1/4 needs to have 4 of those to be a whole so yeah 9.

8 0
3 years ago
Priscilla has 4.3*10^8 strands of hair on her head. Diego has 8.7*10^5 strands of hair on his head. How many more strands of hai
MrMuchimi
<h3>Answer:  4.2913 * 10^8</h3>

====================================================

Work Shown:

4.3*10^8 = 4.3 * 10^(3+5)

4.3*10^8 = 4.3 * 10^3*10^5

4.3*10^8 = 4.3*1000*10^5

4.3*10^8 = 4300*10^5

Priscilla has 4300*10^5 strands of hair while Diego has 8.7 * 10^5 strands. Subtract the values out front: 4300-8.7 = 4291.3

Then tack on the "*10^5" portion to get 4291.3*10^5

The difference in the number of strands is 4291.3*10^5

Convert this to scientific notation to get the final answer.

4291.3*10^5 = (4291.3)*10^5

4291.3*10^5 = (4.2913 * 1000)*10^5

4291.3*10^5 = 4.2913 * 1000*10^5

4291.3*10^5 = 4.2913 * 10^3*10^5

4291.3*10^5 = 4.2913 * 10^(3+5)

4291.3*10^5 = 4.2913 * 10^8

Note: The number 4.2913 * 10^8 expands out to 429,130,000 which is a little over 429 million.

6 0
3 years ago
If the wwight of a package is multiplied by 7/10 the result is 65.8 find the weight of the package
ANTONII [103]

Answer:

The answer is 94

Step-by-step explanation:

divide 7/10 because thats the fraction = 0.7

divide 65.8 by 0.7

to get 94

to check

multiply 94 by 0.7


8 0
3 years ago
Other questions:
  • Find the missing angles for 1 and 2 please
    12·1 answer
  • if I bought a laundry basket at $7.50 and it was marked down 20% what would that be and the sales tax is 1% what is the total co
    15·1 answer
  • a bucket contains 5 green balls, 2 yelllow balls, 6 red balls, 8 blue balls. You remove 4 balls, without replacement from the bu
    11·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2x-5%7D%2B%20%5Cfrac%7B7%7D%7B3x%2B6%7D%3D12%20%20" id="TexFormula1" title
    13·1 answer
  • A stores balance sheet represents the amounts customer owe as negative numbers and credits to customers as positive numbers.
    13·1 answer
  • Solve for X 3 (x+1)=9
    11·1 answer
  • Let p(x) =90/9+50^e-2<br> .<br> What is p(-2)?
    12·1 answer
  • Simplify -2/3 + -4/5 + 7/15 + -11/20
    11·1 answer
  • Han and Priya were making a kite. Han cut out a piece of fabric so
    11·2 answers
  • Please help me i really appreciate it
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!