On one day, 4 chefs and 5 helpers earned $650.

On another day working the same number of hours
at the same rate of pay, 5 chefs and 6 helpers
earned $800.

How much does a chef earn each
day?

Answers

Answer 1

4c + 5h = 650 and

5c + 6h = 800 where c are chefs, h are helpers

Start by finding an expression for c

4c + 5h = 650
4c = 650 -5h
c = (650- 5h)/4

Then substitute that into the second equation and solve for a number value for h
5 (650-5h)/4 + 6h = 800
(3250-25h)/4 + 6h = 800
Multiply both sides by 4
3250-25h + 24h = 3200
-h = -50
h = 50

Take that 50 and substitute it into the expression we have for c to get a number value for c

C= 650-5(50)/4
C = 650-250/4
C = 400/4
C= 100

Check your first equations, substituting $50 for the helpers and $100 for the chefs.

4 (100) + 5(50) =
400 + 250 = 650

5(100) + 6(50) =
500 + 300 = 800

Related Questions

Laurinda ordered some boxes of greeting cards online. The cost of the cards is $6.50n + $3 where n is the number of boxes ordered and $3 is the shipping and handling charge. How much will Lurinda pay if she orders 8 boxes of cards?

Answers

Answer:

$55.00

Step-by-step explanation:

$6.50 (8) + $3 = $55.00

Someone please help me with this and show work I don’t get it I’ll give brainliest

Answers

Answer: THAT IS RIGHT OK BYE MAN

Step-by-step explanation: OK BYE

a triangle has side lengths of 16 cm and 19 cm which could be the value of the third side 29cm or 19cm. The value Blank cm is the value of the third side

Answers

Answer:

19 cm

Step-by-step explanation:

because the third side has to be equivalent to at least one other side.

Evaluate the expression 12/(10-2)-(22-18)
A. 3
B. 4
C. 12
D. 0

Answers

Answer:

Step-by-step explanation:

what's 6 to the power of 900?

Answers

Answer:

5400

Step-by-step explanation:

6x900 =5400 this is the correct answer

5400 is the correct answer

What 5+10
15
12
19
5

Answers

Answer:

just add 10 plus 5

15 because when you say 10+5 its 15

Find the H.C.E of 108 and 72.

Answers

Answer:

36 is the HCF of 108 and 72

Answer:

36.

Step-by-step explanation:

HCF of 108 and 72

108 = 2 * 2 * 3 * 3 * 3

72 = 2 * 2 * 2 * 3 * 3

So picking out the common factors we have

HCF = 2 * 2 & 3 * 3

= 4 * 9

= 36.

A teacher wants to create a graph of the students' scores on the final exam and see what the distribution looks like, looking for clusters and gaps in the scores. Which type of graph is the most appropriate?

A) Steam and Leaf
B) Circle Graph
C) Box and Whisker Plot
D) Line Graph

Answers

The most appropriate graph is the (d) line graphs

How to determine the appropriate graph?

From the question, we understand that:

The distribution should include clustersThe distribution should include gaps

Clusters and gaps are easily identified in line graphs, more than the other graphs.

This is also known as the dot plot

Hence, the most appropriate graph is the (d) line graphs

Answers

Answer:

[tex]\\c=85mi\\[/tex]

Step-by-step explanation:

[tex]77mi^{2} +36mi^{2} =7,225mi\\\\7225mi=c^{2}[/tex]

[tex]\sqrt{7225} =85[/tex]

Solve the Antiderivative.

Answers

1
∫ -------------------- dx
x² + 6x + 10

1
∫ -------------------- dx
(x+3)² + 1

Let t = x + 3
dt = dx

1
∫ -------------------- dt
t²+1

1/1 arctan(t/1)

1/1 arctan (x+3 / 1)

=arctan(x+3) + C

Find x, the angle of depression from the top of a lighthouse that is 153 ft above the water level to the waterline of a ship 1071 ft off shore. Round your answer to the nearest tenth of a degree.

Answers

Answer:

x = 8.1°

Step-by-step explanation:

Reference angle = x

Opposite side = 153 ft

Adjacent side = 1071 ft

Applying trigonometric ratio (TOA), we have:

[tex] tan(x) = \frac{opp}{adj} [/tex]

[tex] tan(x) = \frac{153}{1071} [/tex]

[tex] x = tan^{-1}(\frac{153}{1071}) [/tex]

[tex] x = 8.1 degrees [/tex] (nearest tenth)

Find the perimeter of the figure. Round to the nearest tenth.
answer.
3 ft
3 ft
20 ft
5 ft
14 ft
Perimeter
feet

Answers

Answer:

Step-by-step explanation:

Add the sides together:

3+3+20+5+14=45

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 0,1, and 1+i

Answers

Answer:

[tex]f(x)=x(x-1)(x^2-2x+2)[/tex]

Step-by-step explanation:

The standard polynomial is given by:

[tex]f(x)=a(x-p)(x-q)...[/tex]

Where a is the leading coefficient and p and q are the zeros.

We are given that the zeros are x = 0, 1, and 1 + i.

First, by the Complex Root Theorem, if 1 + i is a zero, then 1 - i must also be a zero.

Therefore:

[tex]f(x)=1(x-(0))(x-(1))(x-(1+i))(x-(1-i))[/tex]

Simplify:

[tex]f(x)=x(x-1)(x-(1+i))(x-(1-i))[/tex]

Expand the third and fourth factors:

[tex](x-(1+i))(x-(1-i))=(x-(1+i))(x)-(x-(1+i))(1-i)[/tex]

Distribute:

[tex]=x^2-x-ix-(x(1-i)-(1+i)(1-i))[/tex]

Expand:

[tex]=x^2-x-ix-x+ix+(1-i+i-i^2)[/tex]

Therefore:

[tex]=x^2-2x+(2)=x^2-2x+2[/tex]

Hence, our polynomial function is:

[tex]f(x)=x(x-1)(x^2-2x+2)[/tex]

a rectangle has a length of 8m and a width of 4.5m. A parallelogram has a length of 6 m. The area of the parallelogram is twice the area of the rectangle. What is the height of the parallelogram

Answers

Answer:

12m

Step-by-step explanation:

work out the area of the rectangle then times it by 2 because the parallelogram is twice the area of the rectangle. 8 × 4.5m = 36m². 36 ×2 = 72cm². Now you do 72 ÷ 6 = 12 . the answer is 12m.

The height of the parallelogram is 12 meters.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

The area of a rectangle is given by the formula A = lw, where l is the length and w is the width.

The area of the rectangle is A1 = lw = (8 m)(4.5 m) = 36 m².

The area of a parallelogram is given by the formula A = bh, where b is the base and h is the height.

Since the area of the parallelogram is twice the area of the rectangle, we have:

2A1 = A2

2(36 m²) = 72 m²

So the area of the parallelogram is A2 = 72 m².

We are given that the length of the parallelogram is 6 m, so we can use the formula for the area to solve for the height:

A2 = bh

72 m² = (6 m)h

h = 12 m

Therefore,

The height of the parallelogram is 12 meters.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ3

A computer salesperson is paid a base amount of $100 for the month. For each computer he sells, he receives $15. This month he would like to make at least $450.

Answers

Answer:

He must sell 24 computes

Step-by-step explanation:

100 + 15x = 450

15x = 350

x = 23.33

Find three points on the parabola.
x^2−6x−4y+5=0

Answers

Answer:

(0,1.25), (1,0), (-1,3)

Step-by-step explanation:

can somebody help me with this homework?

Answers

Answer:

121.1/1.6%

Step-by-step explanation:

subtarct the given numebrs to get 121.1

Divide 123.06 from 121.1, multiply by 100, and you have 101.6, rate of change take away the hundred value to get 1.6%

Hope this helps and makes sense

Which is the inverse of the function f (x) = 1/4x + 1/2

Answers

Answer:

f⁻¹(x) = 4x - 2

Step-by-step explanation:

To find the inverse of a function, switch the places of x and y (or f(x)).

f(x) = 1/4x + 1/2 → y = 1/4x + 1/2

Switch the variables.

x = 1/4y + 1/2

Now you want to convert the equation back into y = mx + b form.

x = 1/4y + 1/2

Subtract 1/2 from both sides.

x - 1/2 = 1/4y

Now, you want to isolate y further by dividing both sides by 1/4 (or multiplying by 4).

4(x - 1/2) = y

Distribute the 4.

4x - 2 = y → y = 4x - 2 → f⁻¹(x) = 4x - 2

This is the inverse of your given function.

Find the x- and y-intercepts of the graph of 3x + 2y = 12. State your answers as
whole numbers or as improper fractions in simplest form.
x-intercept:
y-intercept:

Answers

Answer:

X intercept: 4

Y-intercept: 6

Step-by-step explanation:

To find the intercept of either x or y, you make the other letter equal to 0. So, to find the x-intercept, you would make y 0 and solve from there by dividing 12 by 3 leaving 4. Then you would do the same with making x equal to zero: 12/2= 6

I hope this helped!

Answer:

Step-by-step explanation:

Find the minimum value for the following quadratic equation.
f(x) = 3x2 + 6x-1

Answers

Answer:

(-1,-2)

Step-by-step explanation:

Maybe

Write the slope intercept form for an equation that has an equation of -2x + y = 7 and passes through (4,5). *

Answers

SLOPE INTERCEPT FORM: y = 7x −23

Select the correct answer. What is the solution to the equation?

Answers

Answer:

I think there is no solution to this problem

Step-by-step explanation:

Answer:

c because 3x3 is 9 and 3 plus 9 is 12

Step-by-step explanation:

Write an equation of the line that passes through (1,2) and is parallel to the line y=-5x+4

Answers

Answer:

The equation of the Parallel line to the given line is 5x+y-7=0

Step-by-step explanation:

Explanation:-

Given that the line y = - 5x+4 and point (1,2)

The equation of the Parallel line to the given line is ax+by+k=0

Given straight line 5x + y -4 =0

The equation of the Parallel line to the given line is 5x+y+k=0

This line passes through the point (1,2)

5x+y+k=0

5(1)+2+k=0

⇒ 7+k=0

k =-7

Final answer:-

The equation of the Parallel line to the given line is 5x+y-7=0

-7x + 12x – 6 = 9
how do i solve this and awnser?

Answers

Step-by-step explanation:

3 is the answer

-7x+12x-6=9

when -6 goes to other side it becomes +6

-7x+12x=9+6

5x=15

when 5x which means 5 multiplied to x . When 5 goes other side it becomes division

x=15÷5=3

x=3

multiply c by 9, then add 2 to the result

Answers

Answer:

9c+2

Step-by-step explanation:

Find the value of x.

Answers

Answer:

I think the answer is x=120

urgent ASAP answer!!

Answers

C.

not sure, goodluck. sorry if it’s wrong:)

1. The band must eam at least $75 for a trip. Band members
already earned $35. Write and solve an inequality to find how
much money they still need to eam.

Answers

35 + x >/= 75, then subtract 35 from both sides
x >/= 40

Answer:

$75 * $35 = $2,625

Step-by-step explanation:

75 * 35=2625

6. 5x + 3y = 22
5x – 2y=2

Answers

Answer:

the answer would be (2,4)

x=2 y=4

Answer:(2,4)

Step-by-step explanation: n o t h a n k y o u

What is the slope of the line through (-4,2) and (3, 3)? "/ yo Choose 1 answer: 19 21 42 142 A А 7 5 B 7 5 5 7 5 7 e slope an

Answers

Answer:

1/7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-2)/(3-(-4))

m=1/(3+4)

m=1/7

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On one day, 4 chefs and 5 helpers earned $650. On another day working the same number of hours at the same rate of pay, 5 chefs and 6 helpers earned $800. How much does a chef earn each day?

Answers

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On one day, 4 chefs and 5 helpers earned $650.

On another day working the same number of hours
at the same rate of pay, 5 chefs and 6 helpers
earned $800.

How much does a chef earn each
day?