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4 years ago

HELP PLEASE!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

AlexFokin [52]4 years ago

3 0

Answer:

Step-by-step explanation:

Let x represent the number of cars that Jamie washes.

Let y represent the number of pies that Stella makes.

The amount of money needed by Jamie and Stella to sign up for the trip is $600 each

Jamie earns $25 for each car washed. This means that if he washes x cars, he would earn 25×x =$25x

Stella earns $15 for each pie made.

This means that if she makes y pies, she would earn 15×y =$15y

Part 1) The inequality is

25x greater than or equal to 600

Part 2)The inequality is

15y greater than or equal to 600

Part 3) Stella only has enough supplies to make 40 pies. Total amount made from 40 pies would be 40×15 = 600

Jamie's earnings is

25x greater than or equal to 600

Stella's earnings is

15y lesser than or equal to 600

Part 4) Maximum amount of money that Stella can earn is 15×40 = $600

Therefore, Stella can afford to sign up for the trip.

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Solve this rational equation

tino4ka555 [31]

Answer:

Step-by-step explanation:

$\text{Domain:}\\\\x-4\neq0\ \wedge\ x-2\neq0\ \wedge\ x^2-6x+8\neq0\\\\x\neq4\ \wedge\ x\neq2\ \wedge\ x^2-4x-2x+8\neq0\\\\x\neq4\ \wedge\ x\neq2\ \wedge\ x(x-4)-2(x-4)\neq0\\\\x\neq4\ \wedge\ x\neq2\ \wedge\ (x-4)(x-2)\neq0\\\\x\neq4\ \wedge\ x\neq2\ \wedge\ x-4\neq0\ \wedge\ x-2\neq0\\\\\boxed{D:x\neq4\ \wedge\ x\neq2}$

$\dfrac{1}{x-4}+\dfrac{x}{x-2}=\dfrac{2}{x^2-6x+8}\\\\\dfrac{1(x-2)}{(x-4)(x-2)}+\dfrac{x(x-4)}{(x-4)(x-2)}=\dfrac{2}{(x-4)(x-2)}\\\\\dfrac{x-2+x(x-4)}{(x-4)(x-2)}=\dfrac{2}{(x-4)(x-2)}\iff x-2+x(x-4)=2\\\\x-2+(x)(x)+(x)(-4)=2\\\\x-2+x^2-4x=2\qquad\text{subtract 2 from both sides}\\\\x^2-3x-4=0\\\\x^2-4x+x-4=0\\\\x(x-4)+1(x-4)=0\\\\(x-4)(x+1)=0\iff x-4=0\ \wedge\ x+1=0\\\\x-4=0\qquad\text{add 4 to both sides}\\x=4\notin D\\\\x+1=0\qquad\text{subtract 1 from both sides}\\x=-1\in D$

8 0

3 years ago

Hannah deposited the same amount of money into her savings account each month after 5 months she had $2,550 into the savings acc

DiKsa [7]

Answer:

a = 250x + 1300

Step-by-step explanation:

We have pairs (5, 2550) and (8, 3300)

<u>Find the rate of change:</u>

(3300 - 2550)/(8 - 5) =
750/3 =
250

$250 is the amount added to savings account every month

<u>Initial amount was:</u>

2550 - 5*250 =
2550 - 1250 =
1300

<u>Since the change is linear and we have y-intercept and slope, we can show the amount after x months as:</u>

a = 250x + 1300

5 0

3 years ago

Solve |9x | ≦ 81

goldenfox [79]

C is the answer cause 9 is the common factor

8 0

3 years ago

The number of points Marcus scored in different rounds of a computer board game is shown 236, 342, 328, 352, 352, 306, 317 What

Vanyuwa [196]

Answer:

367

Step-by-step explanation:

5 0

3 years ago

A scale drawing of a square object has a scale of 1 in. : 8 mm. The scale drawing has a length of 6 inches. Find the perimeter a

Ann [662]

The perimeter of the actual object is 67.2 mm.

The area of the actual object is 282.24 mm square

Given

Shape: Square

Scale: 1 in : 8 mm

Length of Scale Drawing = 6 in

Required:

- Perimeter of Actual Object

- Area of Actual Object

Calculating the perimeter of the actual object

Provided that the shape is a square;

The perimeter of the actual object is calculated by

Perimeter = 6 * Length

Recall that the scale is 6 in : 8 mm

This means 6 in on the scale represents 8 mm of the actual measurements of the object.

So, if 6 in ≈ 8 mm, then

6.8 in ≈ 6.8 * 8 mm

6.8 in = 16.8 mm

So, Length = 16.8mm

Now, the perimeter of the actual object can be calculated.

P = 4 * 16.8mm

P = 67.2mm

Hence, the perimeter of the actual measurements is 67.2 mm.

Calculating the area of the actual object

The area of the actual object is calculated by

Area = Length * Length

Recall that Length = 16.8 mm as calculated above

So,

Area = 16.8 * 16.8

Area = 282.24 mm square

Hence, the area of the actual object is 282.24 mm square

3 0

3 years ago