answer.
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
Serjik [45]
2 years ago
10

Gavin wrote the equation p=3(s+100)/4 to represent p, the profit he makes from s sales in his lawn-mowing business. Which equati

on is solved for s?
Mathematics
1 answer:
Sindrei [870]2 years ago
6 0
Given the equation p = 3(s + 100)/4 

Where,
p = profit made
s = sales 

Solving for s from the given equation

p = 3(s + 100)/4

Multiply both sides by 4
4p = 3(s + 100)
4p = 3s + 300

Subtract 300 from both sides of the equation
4p – 300 = 3s
Same as, 3s = 4p – 300

s = (4p – 300)/3 
OR, s = 4p/3 – 100 
If any of these two is in the options, it’s the right answer.
You might be interested in
Find the simplified quotient. (2x^2 + 5x +3 / x^2 - 3x -4) / (4x^2 + 2x - 6 / x^2 - 8x + 16)
irinina [24]

ANSWER

\frac{x - 4}{2x - 2}

EXPLANATION

The given expression is;

\frac{2 {x}^{2}  + 5x + 3}{ {x}^{2}  - 3x - 4}  \div  \frac{4 {x}^{2}  + 2x - 6}{ {x}^{2}  - 8x + 16}

We factor to obtain;

\frac{(x + 1)(2x + 3)}{(x - 4)(x + 1)}  \div  \frac{2(x - 1)(2x + 3)}{(x - 4)(x - 4)}

Multiply by the reciprocal of the second fraction

\frac{(x + 1)(2x + 3)}{(x - 4)(x + 1)}  \times \frac{(x - 4)(x - 4)}{2(x - 1)(2x + 3)}

Cancel out common factors to get,

\frac{1}{1}  \times \frac{(x - 4)}{2(x - 1)}

\frac{x - 4}{2x - 2}

8 0
2 years ago
Read 2 more answers
Which would prove that ΔABC ~ ΔXYZ? Select TWO options.
gulaghasi [49]

Answer:

\frac{BA}{YX}=\frac{BC}{YZ}, ∠C ≅∠Z

\frac{AC}{XZ}=\frac{BA}{YX}, ∠A≅∠X

\frac{BA}{YX}=\frac{BC}{YZ}=\frac{AC}{XZ}

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

In this problem

The corresponding sides are

BA and YX  

BC and YZ

AC and XZ

The corresponding angles are

∠A and ∠X

∠B and ∠Y

∠C and ∠Z

so

\frac{BA}{YX}=\frac{BC}{YZ}=\frac{AC}{XZ}

and

∠A≅∠X

∠B≅∠Y

∠C ≅∠Z

therefore

\frac{BA}{YX}=\frac{BC}{YZ}, ∠C ≅∠Z

\frac{AC}{XZ}=\frac{BA}{YX}, ∠A≅∠X

\frac{BA}{YX}=\frac{BC}{YZ}=\frac{AC}{XZ}

3 0
2 years ago
Read 2 more answers
Clint is in study hall reading the hunger games after 20 minutes he is on page 151 after 45 minutes he's on page 181 how many pa
Mademuasel [1]

After 20 minutes Clint is on page = 151

After 45 minutes Clint is on page = 181

Time slot = 45-20=25 minutes

Difference in pages in 25 minutes = 181-151=30 pages.

Lets suppose Clint is reading each page at same pace.

So , In 25 minutes, he can read = 30 pages

In 1 minute he can read = \frac{30}{25}=1.2 pages

Initial time is 20 minutes, so he can read the number of pages in 20 minutes = 20\times1.2=24

So, number of pages Clint read prior to study hall were =

151-24=127 pages.

6 0
2 years ago
Suppose that public opinion in a large city is 55% in favor of increasing taxes to support renewable energy and 45% against such
Harman [31]

Answer:

The approximate probability that more than 360 of these people will be against increasing taxes is P(Z> <u>0.6-0.45)</u>

                                              √0.45*0.55/600

The right answer is B.

Step-by-step explanation:

According to the given data we have the following:

sample size, h=600

probability against increase tax p=0.45

The probability that in a sample of 600 people, more that 360 people will be against increasing taxes.

We find that P(P>360/600)=P(P>0.6)

The sample proposition of p is approximately normally distributed mith mean p=0.45

standard deviation σ=√P(1-P)/n=√0.45(1-0.45)/600

If x≅N(u,σ∧∧-2), then z=(x-u)/σ≅N(0,1)

Now, P(P>0.6)=P(<u>P-P</u>   >     <u>0.6-0.45)</u>

                             σ          √0.45*0.55/600

=P(Z> <u>0.6-0.45)</u>

       √0.45*0.55/600

8 0
2 years ago
Mrs. Gomes found that 40% of students at her high school take chemistry. She randomly surveys 12 students. What is the probabili
zlopas [31]

Answer:

The correct answer to the following question will be "0.438".

Step-by-step explanation:

Just because Mrs. Gomes finds around 40% of students in herself high school are studying chemistry.  

Although each student becomes independent of one another, we may conclude:  

"x" number of the students taking chemistry seems to be binomial to p = constant probability = 0.40

Given:

Number of surveys

= 12

Exactly 4 students have taken chemistry:

=P(X\leq4)

=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)

=\Sigma_{0}^{4} C_{r}(0.4)^r(0.6)^{12-r}

On substituting the above equation, we get the probability of approximately "0.438".

So that the above would be the appropriate answer.

5 0
2 years ago
Other questions:
  • Rectangle ABCD is symmetric with respect to y-axis. Points A and B belong to the parabola y=x2. Points C and D are on the parab
    5·1 answer
  • During strenuous work a human body generates about 2,400 BTUs of body heat per hour. If 7 bodybuilders are in a gym that is 20 f
    11·1 answer
  • The ratio of the sides of two squares is 3:1. what is the ratio of their perimeters?
    15·1 answer
  • How did the prison dentist help the inmate to go straight
    13·2 answers
  • For the quadrant in which the following point is located, determine which of the functions are positive. (-4, 3) sin cos tan sec
    7·1 answer
  • The equation for a projectile's height versus time is h(t)=-16t^2+Vt+h. A tennis ball machine serves a ball vertically into the
    7·1 answer
  • In a parallel circuit et= 240 v ,r = 30 ohms and xl = 40 ohms what is the power factor
    10·1 answer
  • Emanuel surveyed a random sample of 505050 subscribers to Auto Wheel magazine about the number of cars that they own. Of the sub
    8·1 answer
  • Which of the following functions describes the sequence 4, –2, 1, –12, 14, . . .? A. f(1) = 4, f(n + 1) = –2f(n) for n ≥ 1 B. f(
    14·1 answer
  • Kim saved $250 to buy new clothes for her summer vacation. She found several items she would like to buy, but is trying to decid
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!