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
VARVARA [1.3K]
2 years ago
13

Ken wants to buy some coffee mugs, m , that cost $5 each and some ground coffee, C, that costs $8 a pound. He has $25.

Mathematics
1 answer:
ValentinkaMS [17]2 years ago
3 0

The inequality representation of the scenario is :

  • 5m + 8c ≤ 25
  • m = 1 and c = 1

  • Number of mugs = m
  • Cost per mug = $5
  • Number of ground coffee = c
  • Cost per ground coffee = $8
  • Total amount to spend = $25

  • (Number of mug × cost per mug) + (Number of ground coffee × cost of ground coffee) ≤total amount to spend

  • Representing as an inequality : 5m + 8c ≤ 25

Combination of m and c that makes the inequality true :

  • Using trial by error :
  • m = 1 and c = 1
  • 5(1) + 8(1) ≤ 25 ; 13 ≤ 25

Hence, m = 1 and c =1 are valid values for the expression.

Learn more : brainly.com/question/15748955

You might be interested in
Do the ratios <br> 21<br> 24<br> and <br> 2<br> 4<br> form a proportion?
aivan3 [116]

Step-by-step explanation:

no. if you simplify 21:24 down you would not get 2:4

6 0
3 years ago
Find 2^x=4x, find x ​
Sav [38]

Whatever... I'll try to solve the first two problems.

2^x=4x\\4x=e^{\ln 2^x}\\4x=e^{x\ln 2}\\\dfrac{1}{4x}=e^{-x \ln 2}\\-\dfrac{\ln 2}{4}=-x\ln 2e^{-x \ln 2}\\-x\ln 2=W\left(-\dfrac{\ln 2}{4}\right)\\x=-\dfrac{W\left(-\dfrac{\ln 2}{4}\right)}{\ln 2}

1.

x=\sqrt{13+\sqrt{5+\sqrt{13+\sqrt{5+\sqrt{13+\sqrt{5\ldots}}}}}}\qquad\left( x\geq0\right)\\\\x=\sqrt{13+\sqrt{5+x}}\\\\x^2=13+\sqrt{5+x}\\\sqrt{5+x}=x^2-13\\\\D:5+x\geq0 \wedge x^2-13\geq 0\wedge x\geq 0\\D:x\geq-5 \wedge x^2\geq13\wedge x\geq 0\\D:x\geq \sqrt{13} \vee x\leq-\sqrt{13}\wedge x\geq0 \\D:x\in[\sqrt{13},\infty)\\\\ 5+x=x^4-26x^2+169\\x^4-26x^2-x+164=0\\\vdots\\(x - 4) (x^3 + 4 x^2 - 10 x - 41) = 0\\x-4=0\\x=4

One solution is x=4, and 4\in D, therefore\sqrt{13+\sqrt{5+\sqrt{13+\sqrt{5+\sqrt{13+\sqrt{5\ldots}}}}}}=4.

We can ignore other possible solutions of the polynomial equation, because the expression can not be equal to two different values simultaneously.

7 0
2 years ago
A cube has a volume of 64 cubic cm. What is the length of one side?
Keith_Richards [23]
The length of one side is 4 V= a^3 so 4^3 is 64
8 0
3 years ago
Please, please help me!
7nadin3 [17]
<span>Triangle ABC is congruent to triangle DEF

</span>m<A = m<span><D
</span>m<B = m<span><E
</span>m<C = m<span><F

AB = DE
BC = EF
AC = DF

So answer: 
</span>m∠C=m∠F
4 0
3 years ago
I need help with these
NISA [10]
It can be written as (15+2)x
4 0
3 years ago
Other questions:
  • Given a two-digit number, make a three digit number by putting a 6 as the rightmost digit. Then, add 6 to the resulting three di
    8·1 answer
  • How many Pythagorean triples can be created by multiplying the side lenghts in a known triple by a constant? Explain
    14·1 answer
  • Gavin is building a model of a kitchen. In the model, 2/5 of the floor tiles are white, 1/2 of the floor tiles are yellow, and 1
    14·2 answers
  • For the following parameterized​ curve, find the unit tangent vector. Bold r (t )r(t)equals=left angle 4 cosine (t )comma 4 sine
    6·1 answer
  • Suppose x = 5 is a solution to the equation 4x − 3(x + a) = 2. Find the value of a that makes the equation true.
    12·1 answer
  • PLEASE ANSWER URGENT
    11·2 answers
  • Carl is making the kite shown it has a perimeter of 120 inches the two longer sides of he kite are the same lengths write an equ
    9·1 answer
  • Yolanda bought 8 tickets to a concert for 214. What was the cost of each ticket?
    5·2 answers
  • I need Help.I need Help.I need Help.I need Help.I need Help.I need Help.I need Help.I need Help.I need Help.I need Help. I need
    6·1 answer
  • A glass holds 1 4 liter of liquid. How many glasses of liquid are in 5 liters? Please give a straight answer and an explanation
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!