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3 years ago

How do you solve -2(x+5)=4

Mathematics

2 answers:

jeka57 [31]3 years ago

8 0

Answer:x = -7

Step-by-step explanation:

-2x-10=4

-2x=14

-x=7

X=-7

fenix001 [56]3 years ago

5 0

Answer:

Step-by-step explanation:

$-2(x+5)=4\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2\!\!\!\!\diagup(x+5)}{-2\!\!\!\!\diagup}=\dfrac{4\!\!\!\!\diagup^2}{-2\!\!\!\!\diagup_1}\\\\x+5=-2\qquad\text{subtract 5 from both sides}\\\\x+5-5=-2-5\\\\x=-7$

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On the Bologna-Rome route of a high-speed train, 3/4 of the reservations are with departure from Bologna, while the remainder ar

svlad2 [7]

Step-by-step explanation:

First, we consider the calculation towards finding the total number of passengers who had booked the train in Florence. The main question to ask in answering this problem is

$\text{``If 20 passengers that board the train from Florence correlates to only} \ \displaystyle\frac{2}{5} \\ \text{of the bookings from Florence, then what is the total number of passengers} \\ \text{that booked regardless if the passengers boarded the train or not?"}$

This statement can be phrase mathematically using the method of ratio and proportion as shown below

$\displaystyle\frac{2}{5} : 1 \ = \ 20:x$ ,

in which the variable $x$ is the total number of passengers who booked the train from Florence.

Now, rewriting the above ratio into the form of fractions, yields

$\displaystyle\frac{\displaystyle\frac{2}{5}}{1} \ = \ \displaystyle\frac{20}{x} \\ \\ \displaystyle\frac{2}{5} \ = \ \displaystyle\frac{20}{x} \\ \\ x \ = \ \displaystyle\frac{20}{\frac{2}{5}} \\ \\ x \ = \ 20 \ \times \ \displaystyle\frac{5}{2} \\ \\ x \ = \ 50$

Given that a quarter out of all reservations is from Florence, then using the same method as before to evaluate the number of passengers that had booked the train (from both Bologna and Florence).

$\displaystyle\frac{\displaystyle\frac{1}{4}}{1} \ = \ \displaystyle\frac{50}{y} \\ \\ y \ = \ \dsiplaystyle\frac{50}{\frac{1}{4}} \\ \\ y \ = \ 50 \ \times \ 4 \\ \\ y \ = \ 200$ ,

where the variable $y$ denotes the total number of bookings.

Therefore, the total number of passengers that had booked the train is 200.

Now, it is stated that all passengers who booked had boarded the train from Bologna which is 150 passengers (three-quarters of total bookings). Then, 36 passengers from earlier got off in Florence, while 20 passengers boarded.

Number of passengers left when arriving Rome = 150 - 36 + 20

= 134 passengers

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2 years ago

Find the surface area of the prism.

castortr0y [4]

Answer:

30 i think

Step-by-step explanation:

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3 years ago

I need to finish this question ASAP<br> Someone please help!

Helga [31]

Answer:

Step-by-step explanation:

g(r) = 0 ⇒ $r^{2} -2r-17=0$ ⇒r= $1+3\sqrt{2}$ và r= $1-3\sqrt{2}$

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3 years ago

PLEASE HELP The cost in dollars C(x), where x is the number of miles driven, of renting a car for a day is C(x)=0.55x+36. What i

Nina [5.8K]

Answer:

independent is miles, dependent is dollars

Step-by-step explanation:

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4 years ago

Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 8x and y = 2x + 2 intersect are the so

OleMash [197]

The point of intersection of two given equations is (0.333, 2.667).

Given that, equation with two variables are y = 8x and y = 2x + 2.

The given equations will intersect at some point where y is the same for both equations.

When you replace y in y = 2x + 2 with y = 8x, we get 8x = 2x + 2.

So, the solution of 8x = 2x+2 will satisfy both equations.

Now, we need to find the solutions to take the integer values of x between -3 and 3.

That is,

x = -3 , then 8(-3) = 2(-3) +2⇒-24 = -6+2

⇒-12 = -4 False.

similarly, for x = -2

8(-2) = 2(-2)+2

⇒-16 = -2 False

For, x = -1

8(-1) = 2(-1)+2

⇒-8= 0 False

For, x = 0

8(0) = 2(0)+2

⇒0= 2 False

For, x = 1

8(1) = 2(1)+2

⇒8= 4 False

For, x = 2

8(2) = 2(2)+2

⇒16 = 6 False

For, x = 3

8(3) = 2(3)+2

⇒24 = 8 False

Therefore, there is no solution to 8x = 2x +2 for the integers values of x between -3 and 3.

The equations can be solved graphically by plotting the two given functions on a coordinate plane and identifying the point of intersection of the two graphs.

The point of intersection is the values of the variables which satisfy both equations at a particular point.

Hence, you can see the graph as shown below, the point of intersection is (0.333, 2.667).

To learn more about the graphical representation of equation visit:

brainly.com/question/12804458.

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2 years ago