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Svetradugi [14.3K]
3 years ago
7

A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How m

any solutions are possible for this situation? Infinitely many solutions exist because the two situations describe the same line. Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts. No solutions exist because the situation describes two lines that have the same slope and different y-intercepts. Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercep
Mathematics
1 answer:
elixir [45]3 years ago
7 0

Answer:

Step-by-step explanation:

No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

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A
kondor19780726 [428]

Answer: 18.2

Step-by-step explanation:

14^{2}+b^{2}=23^{2}\\b^{2}=23^{2}-14^{2}\\b=\sqrt{23^{2}-14^{2}} \approx \boxed{18.2}

4 0
2 years ago
At a hockey game, a vender sold a combined total of 176 sodas and hot dogs. The number of sodas sold was three times the number
goldfiish [28.3K]

Answer:

Hot dogs sold: 44

Sodas sold: 132

Step-by-step explanation:

This is is a problem of a system of two equations with two unknowns. This can be solved in multiple ways (the substitution method, the elimination method, the equalization method, the graphic method...) . I will resolve it using the equalization method that is a little bit more practical from my point of view.

First, we have to determine the system by the data we are given:

\left \{ {{y+x=176} \atop {y=3x}} \right.

Where:

y=sodas sold\\x=hot dogs sold

Secondly, we are going to isolate any variable from both equations. I chose to isolate Y.

\left \{ {{y=176-x} \atop {y=3x}} \right.

Thirdly, we equalizate both equations.

Y= Y

So we get:

176-x=3x

Then we isolate X.

-x-3x=-176

-4x=-176

x=-176:(-4)

x=44

So now we know that the number of hot dogs sold was 44! If the sodas sold were three times the number of hot dogs sold, then we know that there were 132 sodas sold at the hockey game!

8 0
3 years ago
Kendra is babysitting her cousins, who are quintuplets. At snacktime, Kendra puts 5 plates on the table. She cuts apples into sl
andreyandreev [35.5K]

Answer:

Kendra is watching over 5 children. She wants to be sure that they each have an even number of apple slices. There are 35 apple slices total. She wants to take 35 and put it equally into 5 groups.

Your equation would be 5s=35, where s would be the total amount of apple slices on each plate.

To solve this equation you would divide both sides by 5 to get 7. s=7 (35/5=7)

Each quintuplet would be 7 apple slices.

Hope this helps ;)

3 0
3 years ago
(2x-*y-6)-(-7x*y-2)<br> Multiply then simplify
ladessa [460]

Answer:

62652

Step-by-step explanation:

15553

7 0
4 years ago
What is the solution to the equation negative (5 minus (a 1)) = 9 minus (5 minus (2a minus 3))? a = –5 a = –3 a = 3 a = 5
e-lub [12.9K]

The solution for the given equation is a = -5.

<h3>What is an equation?</h3>
  • An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.

To find the solution to the given equation:

Negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3)) can be expressed mathematically as follows.

  • - (5 - (a + 1)) = 9 - (5 - (2a - 3))

Using the principle of PEMDAS, all the parenthesis values are first solved.

  • - (5 - a - 1) = 9 - (5 - 2a + 3)
  • -5 + a + 1 = 9 - 5 + 2a - 3

Collect like terms:

  • -5 + 1 - 9 + 5 + 3 = 2a - a
  • -5 = a

That is a = -5.

Therefore, the solution for the given equation is a = -5.

Know more about equations here:

brainly.com/question/2972832

#SPJ4

The correct question is given below:
What is the solution to the equation Negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3))? a = –5 a = –3 a = 3 a = 5

5 0
2 years ago
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