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yulyashka [42]
1 year ago
10

Larry and Zach have both been hired to do odd jobs. Larry will receive $7 for each of the 3 flower beds he weeds and y dollars t

o edge a yard. Zach will receive $25 to clean out a garage and y dollars to wash a car. Both Larry and Zach need to make x dollars to meet their goal. Write an expression for the amount each still has to earn to reach his goal.
Mathematics
1 answer:
o-na [289]1 year ago
7 0

Answer:

Larry :

$21+$Y >$X

Zach :

$25+$Y>$X

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A started some business with RS 26,000. After 3 month B joined him with Rs. 16,000. After some more time C joined them with Rs.
viktelen [127]

Answer:

3  months

Step-by-step explanation:

<h2><u>A:</u></h2>

We know that the total investment period is 1 year, then since A started, A invested Rs 26,000.

<u>Now, since A has been working for 12 months, this is where the effective investment comes in:</u>

A effective investment = Rs 312,000

<h2><u>B:</u></h2>

<u>Then after 3 months, B joined, so:</u>

12 months - 3 months = 9 months in work

B overall invested = Rs 16,000

<u>Since B only worked nine months, we use that to find effective investment:</u>

B effective investment = Rs 144,000

<h2>C:</h2>

<u>C joined x months since B joined in:</u>

<u>We don't know how much C worked for, but we know that C joined after B:</u>

C investment period = 9 months - x certain amount of months

We know that C's investment is Rs 25,000

<u>Find effective investment:</u>

<u>Rs 25,000 * ( 9 - x ) = Rs 225,000 - 25,000x then to find the total investment:</u>

<u></u>

<u>Add all effective investment:</u>

Rs 312,000 + Rs 144,000 + Rs 225,000 - 25,000x

= Rs 681000 - 25,000x

We now know that C's investment is 225,000 - 25,000x

<u>Find profit share:</u> 225,000 - 25,000x

==> Rs 3,825

<u>The total profit:</u>

Rs 15,453

<u>To get our final answer, we must do this operation:</u>

<u>C investment divided by Total Investment = C's profit and total profit:</u>

( Rs 225,000 - 25,000x) ÷ ( Rs 681,000 - 25,000x ) = Rs 3,825 / Rs 15,453

25 ( Rs 9,000 - 1,000x)/(Rs 681,000 - 25,000x)  = (153 * 25) /(153 * 101)

( Rs 9,000 - 1,000x ) ÷ ( Rs 681,000 - 25,000x ) = 1 / 101

Rs 909,000 - 101,000x = Rs 681,000 - 25,000x

Rs 228,000 = 76,000x

Rs 228 = 76x

x = 3

8 0
2 years ago
An acute triangle has side lengths 21 cm, x cm, and 2x cm. If 21 is one of the shorter sides of the triangle, what is the greate
Aliun [14]

we know that

<u>The Triangle Inequality Theorem</u> states that the sum of any two sides of a triangle must be greater than the measure of the third side

so

<u>case a)</u> 21+x > 2x

21+x > 2x\\21> 2x-x\\21> x\\x < 21\ cm

<u>case b)</u> x+2x > 21

x+2x > 21\\3x> 21\\x> 7\ cm

therefore

the longest side is 2x

x < 21\ cm\\2x < 42\ cm

the longest side could be 41.99\ cm

rounded to the nearest tenth is  42\ cm

<u>the answer is the option</u>

42\ cm

3 0
2 years ago
Read 2 more answers
Question #5
Nat2105 [25]

Answer:

x=10.25

Step-by-step explanation:

If the two angles are congruent, then the measures are equivalent. Therefore, we can set the measures equal to each other and solve for x.

5x+24=9x-17

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

First, subtrct 5x from both sides.

5x-5x+24=9x-5x-17

24=9x-5x-17

24=4x-17

Next, add 17 to both sides.

24+17=4x-17+17

24+17=4x

41=4x

Lastly, divide both sides by 4, since 4 and x are being multiplied (4*x=4x).

41/4=4x/4

41/4=x

10.25=x

If the angles are congruent, then the value of x is 10.25.

3 0
1 year ago
Read 2 more answers
A meteorologist in denver recorded y = the number of days of rain during a 30-day period. does y have a binomial distribution? i
olga_2 [115]

Solution: Yes, the random variable y will have a binomial distribution. Because there are two possible outcomes 1. number of days of rain and 2. number of days of no rain.

The parameters of binomial distribution are n and p

The parameter n is given as the number of day's under consideration.

\therefore n=30

The parameter p is not given, but it can be estimated by number of days it rained divided by the total number of days under consideration.

\therefore p=\frac{y}{n} =\frac{y}{30}


3 0
2 years ago
Problem 1: Red, Green or Blue? One of the truly fascinating things about the world is that it’s infinite. What do we mean by thi
anzhelika [568]

Answer:

the complete question is found in the attachment

Step-by-step explanation:

pseudocode

1)start

2)Ask the user to enter value for red color in range 0-255 and store it in red_val

3)Ask the user to enter value for green color in range 0-255 and store it in green_val

4)Ask the user to enter value for blue color in range 0-255 and store it in blue_val

5) compute new range of red as red_val/255

6) compute new range of green as green_val/255

7) compute new range of blue as blue_val/255

8) display the new values for red, green and blue color

9)Stop

execution

if user input is

red:101

green:67

blue:33

computed values will be

red_val : 101/255 = 0.396

green_val : 67/255 = 0.263

blue_val : 33/255 = 0.129

6 0
2 years ago
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