All categories

3 years ago

A massage costs $81.50 per hour. How much will a massage for 2.5 hours cost? $

1 answer:

6 0

$\bf \begin{array}{ccll}
\$&hours\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
81.50&1\\
x&2.5
\end{array}\implies \cfrac{81.50}{x}=\cfrac{1}{2.5}\implies \cfrac{81.50\cdot 2.5}{1}=x$

You might be interested in

The two dot plots below show the heights of some sixth graders and some seventh graders: Two dot plots are shown one below the o

Bingel [31]

It is 1.4 or B. I just took this test and got 100%

6 0

4 years ago

Read 2 more answers

Which expressions are equivalent to 2[3/4x+7]-3(1/2x-5)? Check all that apply

emmainna [20.7K]

Answer:

B, C, E

Step-by-step explanation:

This is correct. Trust me.

4 0

3 years ago

t takes Phillip 7 hours to proof a chapter of Hawkes Learning Systems' Intermediate Algebra book and it takes Kim 3 hours. How l

Leya [2.2K]

Answer:

2.1 hrs

Step-by-step explanation:

In 1 hr, Phillip would have proofed 1/7 of the chapter. In 1 hr, Kim would have proofed 1/3 of the chapter. So, together in 1 hr, they would have proofed 10/21 of the chapter. So, it would take 21/10 or 2.1 hrs to proof the whole chapter together.

5 0

4 years ago

Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 13 people, while each carton of c

lutik1710 [3]

Answer:

233 cartons of food; 467 cartons of clothing

Step-by-step explanation:

This linear programming problem can be formulated as two inequalities (in addition to the usual constraints that the variables be non-negative). One of these expresses the constraint on weight. Let f and c represent numbers of food and clothing containers, respectively.

40f +25c ≤ 21000

The other expresses the limit on volume.

20f + 5c ≤ 7000

_____

Feasible Region vertex

We can subtract the boundary line equation of the first inequality from that of 5 times the second to find f:

5(20f +5c) -(40f +25c) = 5(7000) -21000

60f = 14000

f = 233 1/3

The second boundary line equation can be rearranged to find c:

c = 1400 -4f = 466 2/3

The nearest integer numbers to these values are ...

(f, c) = (233, 467)

The other vertices of the feasible region are associated with one or the other variable being zero: (f, c) = (0, 840) or (350, 0).

Check of Integer Solution

Trying these in the constraint inequalities gives ...

40·233 +25·467 = 20,995 < 21000
20·233 +5·467 = 6995 < 7000

Selection of the Answer

The answer to the question will be the feasible region vertex that maximizes the number of people helped. That is, we want to maximize ...

p = 13f + 6c

The values of p at the vertices are ...

p = 13·233 + 6·467 = 5831

p = 13·0 + 6·840 = 5040

p = 13·350 + 6·0 = 2100

The most people are helped when the plane is filled with 233 food cartons and 467 clothing cartons.

7 0

3 years ago

Please help me !! im stuck with this !

postnew [5]

There are 4 As and 3 Bs, so the ratio of Bs to the total number of As and Bs is ...

... (count of Bs) : (count of As + count of Bs)

... = 3 : (4 + 3)

... = 3 : 7

Expressed as a fraction, this is

... 3/7

6 0

3 years ago