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sasho [114]
2 years ago
12

What is the solution to this system of equations y=x-2 y=-0.5x+4

Mathematics
1 answer:
gladu [14]2 years ago
6 0

Answer:

Substitute y=x-2y=x−2 into y=-0.5x+4y=−0.5x+4.

x-2=-0.5x+4x−2=−0.5x+4

2 Solve for xx in x-2=-0.5x+4x−2=−0.5x+4.

x=4x=4

3 Substitute x=4x=4 into y=x-2y=x−2.

y=2y=2

4 Therefore,

\begin{aligned}&x=4\\&y=2\end{aligned}

​

​

​​  

​x=4

​y=2

​​  

Step-by-step explanation:

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A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the
aleksandrvk [35]
<h2>PLEASE MARK ME AS BRAINLIEST</h2>

the number of small cars rented is 6.

The number of large cars rented is 8.

Step-by-step explanation:

Step 1 :

Each small car can hold = 5 people

Each large car can hold  = 8 people

Step 2 :

Number of small cars rented = x

Number of large cars rented = x + 2

Step 3 :

Altogether the total cars can hold 94 people.

Total people = 5 people (No. of small cars) + 8 people (No. of large cars)

               94 =  5 (x) + 8 (x+2)

               94 = 5x + 8x + 16

               78 = 13x

                  x = 78/13 = 6

∴ Number of small cars, x = 6 small cars

  Number of large cars, x+2 = 8 large cars.

8 0
3 years ago
20. What is the volume, in terms of r, for a cylindrical
inysia [295]

Step-by-step explanation:

Volume of cylindrical container

= \pi {r}^{2} h \\  \\  = 3.14 \times ( {3.25)}^{2}  \times 10 \\  \\  = 3.14 \times 10.5625 \times 10 \\  \\  = 331.6625  {cm}^{3}  \\  \\  \approx \: 331.66 \:  {cm}^{3}

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3 years ago
Solve the problem and enter your solution for the variable below. Do not include units in your answer. A student taking a math c
Kruka [31]

Answer:

12 problems

Step-by-step explanation:

72/6 is 12.

3 0
3 years ago
A game is played with the following rules. Two ordinary number cubes, each with six sides labeled 1 to 6, are rolled. After each
Marysya12 [62]
Answer: - 0.28


Explanation:

1) Expected value: is the weighted average of the values, being the probabilities the weight.

That is: ∑ of prbability of event i × value of event i.

In this case: (probability of getting 2 or 12) × (+6) + (probability of gettin 3 or 11) × (+2) + (probability of any other sum) × (-1).


2) Sample space:

Sum              Points awarded
    
1+ 1 = 2              +6

1 + 2 = 3             +2

1 + 3 = 4             -1

1 + 4 = 5             -1

1 + 5 = 6             -1

1 + 6 = 7             -1

2 + 1 = 3             +2

2 + 2 = 4             -1

2 + 3 = 5             -1

2 + 4 = 6             -1

2 + 5 = 7             -1

2 + 6 = 8             -1

3 + 1 = 4             -1

3 + 2 = 5             -1

3 + 3 = 6             -1

3 + 4 = 7             -1

3 + 5 = 8             -1

3 + 6 = 9             -1

4 + 1 = 5             -1

4 + 2 = 6             -1

4 + 3 = 7             -1

4 + 4 = 8            -1

4 + 5 = 9            -1

4 + 6 = 10          -1

5 + 1 = 6            -1

5 + 2 = 7            -1

5 + 3 = 8            -1

5 + 4 = 9            -1

5 + 5 = 10          -1

5 + 6 = 11          +2

6 + 1 = 7            -1

6 + 2 = 8            -1

6 + 3 = 9            -1

6 + 4 = 10          -1

6 + 5 = 11          +2

6 + 6 = 12          +6


2) Probabilities

From that, there is:
- 2/36 probabilities to earn + 6 points.
- 4/36 probabilites to earn + 2 points
- the rest, 30/36 probabilities to earn - 1 points


3) Expected value = (2/36)(+6) + (4/36) (+2) + (30/36) (-1) = - 0.28
4 0
3 years ago
Read 2 more answers
Someone please help me with this
Lynna [10]

Answer:

Step-by-step explanation:

3/4x + -3

3 0
2 years ago
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