Leila and Joe are two partners in a business. Leila makes $3 in profits for every $4 that Jo makes. If Jo makes $32 profit on the first item they sell, how much profit does Leila make?

Answer:

Let's suppose that each person works at an hourly rate R.

Then if 4 people working 8 hours per day, a total of 15 days to complete the task, we can write this as:

4*R*(15*8 hours) = 1 task.

Whit this we can find the value of R.

R = 1 task/(4*15*8 h) = (1/480) task/hour.

a) Now suppose that we have 5 workers, and each one of them works 6 hours per day for a total of D days to complete the task, then we have the equation:

5*( (1/480) task/hour)*(D*6 hours) = 1 task.

We only need to isolate D, that is the number of days that will take the 5 workers to complete the task:

D = (1 task)/(5*6h*1/480 task/hour) = (1 task)/(30/480 taks) = 480/30 = 16

D = 16

Then the 5 workers working 6 hours per day, need 16 days to complete the job.

b) The assumption is that all workers work at the same rate R. If this was not the case (and each one worked at a different rate) we couldn't find the rate at which each worker completes the task (because we had not enough information), and then we would be incapable of completing the question.

Answer:

609

Step-by-step explanation:

ratio of teachers to students at Priory School =2:27

Let X= total number of both the students and the teacher

Ratio of teacher=( 2/29)X

Ratio of student is (27/29 )X

But total number of teacher = 42

2/29 ×X =42

2X= 42×29

2X=1218

X= 609

Hence, school's total population is 609

Answer:

about 7.8

Step-by-step explanation:

a^2+b^2=c^2

1^2+b^2=8^2

2+b^2=64

B^2=62

B= about 7.8

Answer:16/20

Step-by-step explanation:  

if you divide the two numbers by 4 you have:

16/4=4

20/4=5

(if you divide or multiply both of the numbers with the same number, the ratio will remain the same)

So the two numbers are same

Answer:

thomas's age is 38

Step-by-step explanation:

Answer:

36+36+18=90. 90-60=30-6=24

30+30=60

Answer:

25m2

Step-by-step explanation:

b = 10

10 divided by 4 = 2.5

h = 2.5

2.5 times 10 = 25m2

Answer:

b and d

Step-by-step explanation:

Answer:

b. -

Step-by-step explanation:

Note the rules of multiply/dividing negative numbers:

1) A positive number multiplied/divided by a positive number = a positive answer.

2) A positive number multiplied/divided by a negative number (and vice versa) = a negative answer.

3) A negative number multiplied/divided by a negative number = a positive answer.

~

Note the question.

The first part is multiplying a negative number with a negative number:

(-) * (-) = (+) , based on the rules given above.

Next, multiply the next number. Note that it is also a negative number:

(+) * (-) = (-) , based on the rules given above.

b. - is your answer.

~

Answer:

15-25

Step-by-step explanation:

Answer:

left 4 up one because the coordinates are -4 , 1

Answer:

the first one (-4, 1)

Step-by-step explanation:

So if you solve for x using the first equation, you get: x = 5y - 5.

From there you can plug that into the second equation which would give you:

7y-5y+5=-23

Simplifying from that point, you get y = -9.

Now that you have one of the values, you can solve for x by plugging it back into the equation we made (x = 5y - 5) and getting to the answer x = -40.

Answer:

Mrs pitoya has to buy 9 crates of apples

Answer: She only needs to buy 5 more crates of apples.

30 + 20(x) = 130

30-30+20(x)=130-30

20x = 100

x = 5

Step-by-step explanation:

Answer:

[tex]6\frac{1}{3} or \frac{19}{3}[/tex]

Step-by-step explanation:

Rewriting our equation with parts separated

=8+1/2−2−1/6

Solving the whole number parts

8−2=6

Solving the fraction parts

1/2−1/6=?

Find the LCD of 1/2 and 1/6 and rewrite to solve with the equivalent fractions.

LCD = 6

3/6−1/6=2/6

Reducing the fraction part, 2/6,

2/6=1/3

Combining the whole and fraction parts

6+1/3=6 1/3

The interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.

The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.

The interval estimate of the population mean can be found out using the following formula:

[tex]\overline X\pm MOE[/tex]

Here, [tex]\overline X[/tex] is the average mean, and the MOE is the margin of error.

On a highway, a random sample is taken of the speed, in mph, of 50 cars.

Put the values in the above formula as,

[tex]61.8\pm 2.3\\59.5,641[/tex]

Thus, the interval estimate of the population mean

[tex]59.5 < h < 61.8[/tex]

Hence, the interval estimate of the population mean when a random sample is taken of the speed on highway is 59.5<h<64.1. Option C is correct.

Learn more about the margin of error here;

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Answer: angle 5 and angle 10

angle 8 and angle 11

hope this helps!

Answer:

I believe the answer is C. Use Desmos and plug in the equation y=-x-2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

4 chipped + 16 not chipped = 20 total

4 / 20 = 1/5 or 20% chance that vase will be chipped

Set up a proportion or find 20% of 10.

[tex]\frac{1}{5} = \frac{x}{10}[/tex]     x = 2 (ten is on denominator because it's the total amount of vases)

or 10 * 0.2 = 2

Answer:

11

Step-by-step explanation:

25% is 0.25 or 1/4

44 x 0.25 =11

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

4x

Step-by-step explanation:

Answer: (x+14)^2

Step-by-step explanation:

Answer:

y=2x+1

Step-by-step explanation:

FORMULA FOR COMPOUND INT. = A = P ( 1 + [tex]\frac{R}{100}[/tex])[tex]^{n}[/tex]

= P = 2000, R = [tex]\frac{5}{12}[/tex] ( as it is compounded monthly ), N= 8 × 12 = 96

= A = 2000 [tex]([/tex] 1 + [tex]\frac{5}{1200}[/tex] [tex])^{96\\}[/tex] = [tex]\frac{2000}{1}[/tex] × ([tex]\frac{1205}{1200}[/tex]) [tex]^{96}[/tex]

= 2981.17

Answer:

Step-by-step explanation:

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

okay so look at the image down below

Answer:

$7.49

Step-by-step explanation:

89.88/12= 7.49

Answer:

Y=-3X+5

Step-by-step explanation:

Answer:

y = -6/5x + 1

Step-by-step explanation:

The equation that represents a line with a slope of -6/5 and a y-intercept of 1 is y = -6/5x + 1

The given parameters are:

Let the variable of the equation be x.

A linear equation is represented as:

y = Slope * x + y-intercept

So, we have:

y = -6/5 * x + 1

Evaluate

y = -6/5x + 1

Hence, the equation is y = -6/5x + 1

Read more about linear equations at:

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