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julia-pushkina [17]
2 years ago
13

A plumber charges a fixed fee for coming to your house, then charges a fixed amount per hour on top of this. X= the time the job

takes in hours. Y = the total cost of the plumber's time in dollars.
Mathematics
1 answer:
Andreyy892 years ago
3 0

Step-by-step explanation:

 This problem expects us to model the equation for the total cost of the services of the plumber given the conditions stated.

Say the fixed amount charged for coming to your house is $10

say the fix amount charged per is $3

and the time spent to do the job is X

Hence the scenario can be modeled as

Y= 3x+10

the equation is similar to the equation of a straight line

Y= mx+c

You might be interested in
If m∠DEF = 117°, find the value of x
ollegr [7]

Answer:

x = 7

Step-by-step explanation:

Given:

∠DEF = 117°

∠DEG = (12x + 1)°

∠GEF = (5x - 3)°

Find:

value of x

Computation:

∠DEF = ∠DEG + ∠GEF

117° = (12x + 1)° + (5x - 3)°

117° = 17 x - 2

x = 7

4 0
2 years ago
-6/5 divided by 12/25
Tema [17]

Answer:

-1 17/25

Solution with Steps

−65−1225=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-6/5, 12/25) = 25

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−65×55)−(1225×11)=?

Complete the multiplication and the equation becomes

−3025−1225=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

−30−1225=−4225

This fraction cannot be reduced.

The fraction

−4225

is the same as

−42÷25

Convert to a mixed number using

long division for -42 ÷ 25 = -1R17, so

−4225=−11725

Therefore:

−65−1225=−11725

4 0
2 years ago
Javier wants to inscribe a circle inside of the triangle ABC shown in the following figure. He begins by constructing the angle
djyliett [7]
Point D, as shown i the figure, is the intersection of the angle bisectors. This point is the Incircle, or the center of the inscribed circle. 

All 3 angle bisectors meet at D, so drawing the angle bisector of C is useless. (Thus step 4 is not the one).

Since we have the center of the inscribed circle, we want to open the compass so that it touches all 3 sides at one point only, that is, we want the 3 sides to be tangent to this circle.

The segments joining the tangency points and D are 3 radii of the circle. We know that a radius is perpendicular to the tangent it touches. 


Thus, we need to draw an altitude from D to any of the sides. 

Answer: 1 
4 0
1 year ago
The following histogram represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. In
Mila [183]

Answer:

  • <u><em>Option b. just below 30%</em></u>

<u><em></em></u>

Explanation:

Please, see attached the <em>histogram that represents the distribution of acceptance rates (percent accepted) among 25 business schools in 2004. </em>

<em />

The<em> median</em> is the value that separates the lower 50% from the upper 50% of the data.

Since there are 25 business schools, the middle value is the number 13.

The height of each bar is the<em> frequency</em> or number of business school for that acceptace rate:

  • The first bar has frequency of 1 school
  • The second bar has frequency of 3 schools: cummulative frequency: 1+3=4.
  • The third bar has frequency 5 schools: cummulative frequency 4 + 5 = 9.
  • The fourth bar has frequency 3 schools: cummulative frequency: 9+3=12.

Then, the 13th value is on the next bar, the fifth bar.

The fifth bar has acceptance rates 25  ≤ rate < 30.

That means that the median acceptance rate is greater than or equal to 25 and less than 30.

Thus, the choice is the option <em>b. just below 30%.</em>

3 0
1 year ago
$5000 was invested into an investment that pays 4.25% simple interest. The total value of the investment amounted to $6593.75. H
Basile [38]

Answer:

7.5 years

Step-by-step explanation:

P = $5000,

R = 4.25%,

A = $6593.75,

N =?

SI = A - P = 6593.75 - 5000 =$1593. 75

\because \: SI = \frac{ PNR}{100} \\  \\  \therefore \: 1593.75 =  \frac{5000 \times N \times 4.25}{100}  \\  \\  \therefore \: 1593.75 \times 100 = 21,250 \times N \\  \\ N =  \frac{159375}{21250}  \\  \\ N = 7.5 \: years \:

6 0
2 years ago
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