Write a function G whose graph represents a reflection in the y-axis of the graph of f (x) = |2x

If two ppl working at 7.00 per hour work 8 hours making trays that cost 35.00 each if it cost 14.00 to make the trays how many w

sasho [114]

Answer:

They have to make 6 trays to cover the cost including labor.

Step-by-step explanation:

Given:

Number of labor =2

Cost per hour of labor =7.00

Number of hours they work = 8

Selling cost of each trays =35.00

making cost of each tray = 14.00

We need to find the number of trays they to make to cover the cost including the labor.

Solution:

Let the number of trays be 'x'.

First we will will find the Total cost of labor.

Total cost of labor is equal to Number of labor multiplied by Cost per hour of labor multiplied by Number of hours they work.

framing in equation form we get;

Total cost of labor = $2\times 7\times8 =112.00$

Now we can say that;

Selling price of each tray multiplied number of trays equal to Making cost of each trays multiplied by number of tray plus Cost of labor.

framing in equation form we get;

$112+14x=35x$

Combining like terms we get;

$112= 35x-14x\\\\112=21x$

Dividing both side by 21 using division property of equality we get;

$\frac{112}{21} = \frac{21x}{21}\\\\5.33=x$

Hence They have to make 6 trays to cover the cost including labor.

3 0

3 years ago

Work out the area of a parallelogram of base 5m and height 3m

Arada [10]

B*H= area so 3*5= 15

15 is your answer

6 0

3 years ago

How to tell if a triangle is obtuse acute or right based on side lengths?

tekilochka [14]

If a triangle is made up of side lengths a, b and c

Given that c is the longest side length of the triangle,

The Pythagorean theorem can be used to tell if the triangle is obtuse, acute or right

In an obtuse triangle,

a^2 + b^2 < c^2

In an acute triangle,

a^2 + b^2 > c^2

In a right angled triangle,

a^2 + b^2 = c^2

8 0

2 years ago

Translate the phrase into a variable expression: three less than the product of a number and six

CaHeK987 [17]

I think it will be C.

hope its correct !

8 0

2 years ago

Read 2 more answers

The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the

gladu [14]

Answer:

Part 1) Australia $19,751,012\ people$

Part 2) China $1,319,645,764\ people$

Part 3) Mexico $109,712,539\ people$

Part 4) Zaire $60,534,681\ people$

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

$P(t)=a(1+r)^t$

where

P(t) is the population

t is the number of years since year 2000

a is he initial value

r is the rate of change

Part 1) Australia

we have

$a=19,169,000\\r=0.6\%=0.6\100=0.006$

substitute

$P(t)=19,169,000(1+0.006)^t$

$P(t)=19,169,000(1.006)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=19,169,000(1.006)^5=19,751,012\ people$

Part 2) China

we have

$a=1,261,832,000\\r=0.9\%=0.9\100=0.009$

substitute

$P(t)=1,261,832,000(1+0.009)^t$

$P(t)=1,261,832,000(1.009)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=1,261,832,000(1.009)^5=1,319,645,764\ people$

Part 3) Mexico

we have

$a=100,350,000\\r=1.8\%=1.8\100=0.018$

substitute

$P(t)=100,350,000(1+0.018)^t$

$P(t)=100,350,000(1.018)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=100,350,000(1.018)^5=109,712,539\ people$

Part 4) Zaire

we have

$a=51,965,000\\r=3.1\%=3.1\100=0.031$

substitute

$P(t)=51,965,000(1+0.031)^t$

$P(t)=51,965,000(1.031)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=51,965,000(1.031)^5=60,534,681\ people$

8 0

3 years ago

Write a function G whose graph represents a reflection in the y-axis of the graph of f (x) = |2x–1|+3