Ask question

Ask question

All categories

3 years ago

14

on one day, 4 plumbers and 5 helpers earned $182. On another day, working the same number of hours and at the same rate of pay,

5 plumbers and 6 helpers earned $224. How much does a plumber and a helper earn each day?

1 answer:

Elanso [62]3 years ago

7 0

I hope this helps you

4plumbers +5helpers =182

5plumbers +6helpers =224

-24plumbers -30helpers =1092

25plumbers+30helpers =1120

1plumbers =28

4.28+5helpers =182

5helpers =70

1helpers=14

You might be interested in

solniwko [45]

Answer:

7.2 units

Step-by-step explanation:

Coordinates of city A = (0, 0)

Coordinates of city B = (6, 4)

Use the distance formula to find the distance between the two cities as follows:

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$A(0, 0) = (x_1, y_1)$

$B(6, 4) = (x_2, y_2)$

Plug in the values into the formula

$AB = \sqrt{(6 - 0)^2 + (4 - 0)^2}$

$AB = \sqrt{(6)^2 + (4)^2}$

$AB = \sqrt{36 + 16} = \sqrt{52}$

$AB = 7.2$ (nearest tenth)

6 0

3 years ago

A certain microscope is able to magnify an object up to 100,000 times its original size. In scientific notation, 100,000 is

vova2212 [387]

1.0x10 to the fifth :)

3 0

3 years ago

What is the largest possible integral value in the domain of the real-valued function

kotegsom [21]

Answer:

Max Value: x = 400

General Formulas and Concepts:

<u>Algebra I</u>

Domain is the set of x-values that can be inputted into function f(x)

<u>Calculus</u>

Antiderivatives
Integral Property: $\int {cf(x)} \, dx = c\int {f(x)} \, dx$
Integration Method: U-Substitution
[Integration] Reverse Power Rule: $\int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C$

Step-by-step explanation:

<u>Step 1: Define</u>

$f(x) = \frac{1}{\sqrt{800-2x} }$

<u>Step 2: Identify Variables</u>

<em>Using U-Substitution, we set variables in order to integrate.</em>

$u = 800-2x\\du = -2dx$

<u>Step 3: Integrate</u>

Define: $\int {f(x)} \, dx$
Substitute: $\int {\frac{1}{\sqrt{800-2x} } } \, dx$
[Integral] Int Property: $-\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx$
[Integral] U-Sub: $-\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du$
[Integral] Rewrite: $-\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du$
[Integral - Evaluate] Reverse Power Rule: $-\frac{1}{2}(2\sqrt{u}) + C$
Simplify: $-\sqrt{u} + C$
Back-Substitute: $-\sqrt{800-2x} + C$
Factor: $-\sqrt{-2(x - 400)} + C$

<u>Step 4: Identify Domain</u>

We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.

Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.

7 0

3 years ago

Solve for x.* (4x + 7)° (6x + 3)° Sign

Whitepunk [10]

24 x ^2 + 54 x + 21,

if you would like me to explain how to do it, I can in the comments.

3 0

3 years ago

1. What are two other names for AB?

Fynjy0 [20]

BA can be another name for AB

8 0

3 years ago

Read 2 more answers