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tester [92]
3 years ago
8

— 4х + 7y = 20 у = 3х + 15

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0

Answer:

x=-5

Step-by-step explanation:

-4x+7(3x+15)=20\\ -4x+21x+105=20\\ 17x+105=20\\ 17x=20-105\\ 17x=-85\\ x=-5

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Tashia ate 1/3 of a pizza, and Jay ate 3/8 of the same pizza. What fraction of the pizza was eaten?
Sauron [17]
This is basically saying how much of the pizza did Tashia and Jay both ate, thus combining their portions together.

1/3 + 3/8 = fraction of pizza eaten

To add fractions, you must have a common denominator. Which is 24 in this case because 3*8 = 24.

So you multiply 1/3 with 8 and multiply 3/8 with 3.

1/3*8= 8/24
3/8*3= 9/24

Now you add the fractions.
8/24+9/24= 17/24. You add the numerator, the denominator stays the same.

17/24 of the pizza was eaten.
7 0
3 years ago
Mr. Wells runs a telecommunications company. While going through the company's project records, he found that there were 8 engin
Allisa [31]

There are 12 project managers that are employed by Mr. Wells

<h3>Further explanation</h3>

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

<em>m → gradient of the line</em>

<em>( 0 , c ) → y - intercept</em>

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

\large {\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}}

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

\large {\boxed{y - y_1 = m ( x - x_1 )}}

<em>Let us tackle the problem!</em>

\texttt{ }

This problem is about Directly Proportional.

<em>There were 8 engineers under every team leader.</em>

\texttt{1 Team Leader} \rightarrow \texttt{8 engineers}

\texttt{15 Team Leader} \rightarrow 15 \times \texttt{8 engineers} = \boxed{\texttt{120 engineers}}

\texttt{ }

<em>There were 5 project managers for every 50 engineers.</em>

\texttt{50 engineers} \rightarrow \texttt{5 project managers}

\texttt{120 engineers} \rightarrow (120 \div 50) \times \texttt{5 project managers} = \boxed{\texttt{12 project managers}}

\texttt{ }

<h3>Learn more</h3>
  • Infinite Number of Solutions : brainly.com/question/5450548
  • System of Equations : brainly.com/question/1995493
  • System of Linear equations : brainly.com/question/3291576

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

7 0
3 years ago
*<br> What is the circumference?<br><br> 16 in
BlackZzzverrR [31]

Answer:50.27

Step-by-step explanation:

5 0
3 years ago
The graph of the equation y equals 1/2 x - 3 determine the value of y for the point (4,y).
oksano4ka [1.4K]
The answer is b. If your problem is y=1/2x-3

3 0
3 years ago
Expand the following.... please help
Evgesh-ka [11]
= (3/8) (16x + - 24)
=(3/8) (16x) +(3/8)(-24)
=6x - 9
4 0
3 years ago
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