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
Dennis_Churaev [7]
1 year ago
7

Kate and Jean paint a house together in 6 days. If they work alone, Kate takes 5 fewer days than Jean would take to do the same

job. Which equation represents the time it takes Kate to paint the house by herself?
A. x^2-7x-30=0
B. x^2-5x-30=0
C. 2x-1=0
D. x^2-5x over 6 = 0
Mathematics
1 answer:
frutty [35]1 year ago
3 0
Number of jobs=1

Time: 
<span>Since ‘x’ is given as a variable in the choices, we should reserve it for Kate and use ‘y’ for Jean as follows: </span>
<span>
Kate: => x </span>
<span>Jean: => y </span>

<span>But y = x - 5 </span>

<span>Combined rate: </span>
<span>1/x+ 1/y </span>
<span>= (x + y)/(xy) </span>

<span>Number of jobs done: </span>
<span>
Number of days X combined rate = number of jobs </span>
<span>6 [(x + y)/(xy)] = 1 </span>
<span>6x + 6y = xy </span>
<span>6x + 6(x - 5) = x(x - 5) </span>
<span>6x + 6x - 30 = x² - 5x </span>
<span>12x - 30 = x² - 5x </span>
<span>x² - 17x + 30 = 0 
</span>
Therefore, the answer would be A.
You might be interested in
A store sold a certain brand of jeans for $38 one day, the store sold 6 pair of jeans of that brand. How much did the 6 pairs of
baherus [9]
6 pairs of jeans would cost $228.
4 0
1 year ago
Read 2 more answers
Plz answer quickly!!!!!!!
ValentinkaMS [17]

Answer:

<em>(A). x ≥ </em>\frac{16}{5}<em> and x ≤ - </em>\frac{3}{4}<em> </em>

Step-by-step explanation:

5x - 4 ≥ 12 ⇔ 5x ≥ 16 ⇒ <em>x ≥ </em>\frac{16}{5}<em> </em>

<em>and </em>

12x + 5 ≤ - 4 ⇔ 12x ≤ - 9 ⇔ 4x ≤ - 3 ⇒ <em>x ≤ - </em>\frac{3}{4}

6 0
1 year ago
A soccer team ordered 12 jerseys and 12 pairs of shorts, for a total of $156. Later, they had to order 4 more jerseys and 6 more
serg [7]

the answer is b 8 dollars

6 0
2 years ago
Read 2 more answers
Mr. Barth is painting an arrow on the school parking lot. He draws the edges between the following points on the coordinate plan
andreyandreev [35.5K]

Answer:

<u>70 square units</u>

Step-by-step explanation:

<em>I have plotted the points on the coordinate system and connected roughly using a red line. Image is attached. </em>

The arrow created, consists of a TRIANGLE and a RECTANGLE. The area of the arrow would be:

Area of Arrow = Area of Triangle + Area of Rectangle

Area of Triangle = 0.5 * base * height

Base is 12 units

Height is 7 units, so

Area of Triangle = 0.5 * 12 * 7 = 42

Now,

Area of Rectangle = length * height

Length is 7

Height is 4

Area of Rectangle = 7 * 4 = 28

<u>Area of Arrow = 42 + 28 = 70 square units</u>

4 0
2 years ago
The number w and 0.8 are additive inverses.
umka2103 [35]

Since, the number w and 0.8 are additive inverses.

A number 'a' is said to have an additive inverse '-a' if "a+ (-a)= 0".

Since, 'w' and '0.8' are additive inverses of each other such that w + 0.8 = 0

Therefore, the value of 'w' should be '-0.8' so that -0.8 + 0.8 = 0.

So, the value of 'w' is =0.8

Now, Refer to the attached image which represents the position of 0.8 , w ( that is -0.8) and the sum of 0.8 and w.

Sum of 0.8 and w = 0.8 + w

= 0.8 +(-0.8)

= 0.

3 0
1 year ago
Read 2 more answers
Other questions:
  • 1. Identify the lateral area and surface area of a regular square pyramid with base edge length 5 in. and slant height 9 in.
    13·1 answer
  • The circle will be dilated by a scale factor of 6. What is the value for n if the expression nPI represents the circumference of
    9·2 answers
  • Here are 15,000 students at college x. of those students, 1,700 are taking both ethics and metaphysics this semester. there are
    6·2 answers
  • Sal exercised by stretching and jogging 5 days last week.
    6·1 answer
  • You are playing a game with your friends, Alex and Jeff. The first player who rolls a total of seven using two number cubes gets
    9·2 answers
  • On February 1, the electricity meter reading for the Smith residence was 19,423 kilowatt hours. On March 1, the meter read 20,28
    14·1 answer
  • Rhonda has $13. She has one $5 bill, three $1 bills, and one other bill. Is a other bill a $1 bill or a $5 bill explain
    9·1 answer
  • In a sample of 200 observations, there were 80 positive outcomes. Find the standard error for the sample proportion.
    14·1 answer
  • If x% of four-digit numbers have a repeated digit (the repeated digits do not need to be adjacent), then what is x? Express your
    5·1 answer
  • Una avenida está siendo asfaltada por etapas. En la primera etapa se asfaltó la mitad; en la segunda, la quinta parte, y en la t
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!