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
galina1969 [7]
3 years ago
8

Cal is buying T-shirts and shorts. T-shirts cost $12 and shorts cost $25. He plans on spending no more than $160 and wants to bu

y at least 5 items.
Write a system of linear inequalities that represents the situation.

What is one possible combination of T-shirts and shorts that Cal could buy?
Mathematics
2 answers:
7nadin3 [17]3 years ago
7 0
5 shirts and 4 shorts 12+12+12+12+12+25+25+25+25
jeka57 [31]3 years ago
3 0

Answer:

The system of linear inequalities is:

12x + 25y \leq 160

x + y \geq 5

4 t-shirts, 2 shorts is one possible combination.

Step-by-step explanation:

I am going to say that:

x is the number of T-shirts Cal buys.

y is the number of shorts Cal buys.

T-shirts cost $12 and shorts cost $25. He plans on spending no more than $160

This means that

12x + 25y \leq 160

Wants to buy at least 5 items.

So

x + y \geq 5

The system of linear inequalities is:

12x + 25y \leq 160

x + y \geq 5

Combination

4 t-shirts, 2 shorts.

6 items costing 12*4 + 2*25 = $98.

You might be interested in
Which unit of length would be most appropriate to describe the length of your<br> foot?
ladessa [460]

Answer:

inches

Step-by-step explanation:

well depends on how big your foot is

8 0
3 years ago
Tell whether the ordered pair is a solution of the given system. (-2,-4) {y=1/2x -3, y=-2x-8}
kompoz [17]

Answer:

The ordered pair (-2,\, -4) is indeed a solution to the system:

\left\lbrace\begin{aligned} & y = \frac{1}{2}\, x - 3 \\ & y = -2\, x - 8\end{aligned}\right..

Step-by-step explanation:

Consider a system of equations about variables x and y. An ordered pair (x_{0},\, y_{0}) (where x_{0} and y_{0} are constant) is a solution to that system if and only if all equations in that system hold after substituting in x = x_{0} and y = y_{0}.

For the system in this question, (-2,\, -4) would be a solution only if both equations in the system hold after replacing all x in equations of the system with (-2) and all y with (-4).

The \texttt{LHS} of the equation y = (1/2)\, x - 3 would become (-4). The \texttt{RHS} of that equation would become (1/2) \, (-2) - 3. The two sides are indeed equal.

Similarly, the \texttt{LHS} of the equation y = -2\, x - 8 would become (-4). The \texttt{RHS} of that equation would become (-2)\, (-2) - 8. The two sides are indeed equal.

Thus, x = (-2) and y = (-4) simultaneously satisfy both equations of the given system. Therefore, the ordered pair (-2,\, -4) would indeed be a solution to that system.

8 0
2 years ago
Geometry! Please help!!
krek1111 [17]
Problem One
Find AM
AM = 71.5 - 22 = 49.5

Step Two
State the Givens.
AM = 49.5
MN = 71.5
MB = x
MP = 97.5

Step Three
Set up the Proportion

AM : NM :: x : PM
49.5 : 71.5 :: x : 97.5

Substitute and solve
49.5 / 71.5 = x / 97.5    Cross Multiply
49.5 * 97.5 = 71.5 * x   Combine the numbers on the left.
4860.375 = 71.5 * x     Divide by 71.5
4860.375 / 71.5 = x      
x = 67.98

Problem Two
Remark
This is just a straight application of the Pythagorean Theorem
a^2 + b^2 = c^2
a = 10
b = 24
c = ??

10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
sqrt(c^2) = sqrt(676)
c = 26  <<<< answer
6 0
3 years ago
Each side of a hexagon is 10 inches longer than the previous side. what is the length of the shortest side of this hexagon if it
MrRa [10]

The length of the shortest side of the hexagon is; 41.833 inches

<h3>How to find the perimeter of a Polygon?</h3>

Let the length of the shortest side of the hexagon be x. Now, a hexagon has six sides and if the next side is 10 inches longer than the previous side, then the length of the six sides are;

x, x + 10, x + 20, x + 30, x + 40, x + 50

Perimeter is given as 401 inches. Thus;

x + x + 10 + x + 20 + x + 30 + x + 40 + x + 50 = 401

6x + 150 = 401

6x = 401 - 150

6x = 251

x = 251/6

x = 41.833 inches

Read more about Polygon Perimeter at; brainly.com/question/14490532

#SPJ1

3 0
2 years ago
13. The red triangle shown is not
andreyandreev [35.5K]

Answer:

I cannot answer see no red triangle to Base an answer on sorry is this calculus never took that course

7 0
3 years ago
Other questions:
  • Question 1
    11·1 answer
  • George's page contains twice as many typed words as Bill's page and Bill's page contains 50 fewer words than Charlie's page. If
    8·2 answers
  • There are 3 identical wooden blocks that are 50 inches long, 5 inches wide and 3 inches thick. If you glue them together, what i
    15·2 answers
  • In ΔFGH, the measure of ∠H=90°, the measure of ∠G=75°, and FG = 24 feet. Find the length of HF to the nearest tenth of a foot.
    5·1 answer
  • Find the median of the following data set. 1 1/4,5/8 ,3/5 ,1/2 ,1 1/2, 1 3/4
    6·1 answer
  • What is the sum of
    14·2 answers
  • Which statement is true of the function f(x) = -3^sqrt x ? Select three options.
    10·2 answers
  • Which of the fractions below are equivalent to 2/3?
    10·2 answers
  • Triangle ABC was dilated by 50%. AC 6 what is AC?<br> A) 3<br> B) 6<br> c) 12<br> d) 15
    13·2 answers
  • Can someone help ???????​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!