A ramp is 4m in length and is situated at an angle of 48⁰. How far is the start of the ramp to the building?

Joan decided to look at new SUVs.Joan found a used SUV for$6000.Joan found that she paid 25% of the price of a new SUV . How muc

UNO [17]

A new SUV would cost $24,000 because 25% is 1/4 , so $6,000 times 4 =$24,000

3 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

A bottle contains 5/9 liters of soda. Keisha has 3 of these bottles.

satela [25.4K]

Answer: 1 2/3 Liters

Step-by-step explanation:

Create the equation

The equation is going to be the amount of soda, multiplied by the amount of bottles Keisha has

5/9 x 3/1 (3/1 is equivalent to having 3 or 1+1+1)

Solve

We are going to multiple the numbers, numerator by numerator, and denominator by denominator since we do not need to add or subtract

Numerator= 5x3=15
Denominator= 9x1=9

Your improper awnser would be 15/9

DO NOT STOP HERE THIS IS NOT THE SIMPLEST FORM

Create the simplest mixed number

15/9 is equal to 15 divided by 9

we can fit 1 9 in 15 without going over

1 ?/15

15-9=6

1 6/9

Simplify

6 and 9 are both divisible by 3

6 divided by 3 = 2

9 divided by 3 = 3

1 6/9=1 2/3

Awnser and add your units

1 2/3 is the simpelest form, this can not be further divided.

1 2/3 Liters of Soda

3 0

2 years ago

Korey kept track of the number of miles he ran each week for five weeks. The median number of miles he ran during the five weeks

shepuryov [24]

Answer:

the correct answer would be A. the mean is when you add up all of them and divide it by how many numbers there are which in this case is 5. and the median is the number in the middle, in this case 20, therefore when you add up all numbers in A ,you get 105 and you divide it by 5 which gives you 21. :))

6 0

3 years ago

Monique made several batches of soup for a potluck supper. Each batch required 3\4 0f a pound of potatoes, and she used a total

eimsori [14]

Answer:

$The\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ \frac{26}{3}.$