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In-s [12.5K]
1 year ago
6

Work out m and c for the line: y = 2 x + 5

Mathematics
2 answers:
arlik [135]1 year ago
8 0
The answer would be m equals 2
azamat1 year ago
7 0

Answer:

m=2

Step-by-step explanation:

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Carlos ran a concession stand last Saturday and made $63.90 from selling a total of 41 hot dogs and hamburgers. Each hot dog sol
Keith_Richards [23]

The number of hot dogs, x is 36 and hamburgers, y is 5 were sold

Step-by-step explanation:

Carlos ran a concession stand last Saturday and made $63.90 from

a total of 41 hot dogs and hamburgers. Each hot dog sold for $1.40

and each hamburger sold for $2.70

1. The number of hot dogs is x, and hamburgers is y

2. He made $63.90 from a total of 41 hot dogs and hamburgers

3. Each hot dog sold for $1.40 and each hamburger sold for $2.70

We need to find the number of hot dogs and hamburgers, that were sold

∵ The number of hot dogs is x, and hamburgers is y

∵ He sold 41 hot dogs and hamburgers

∴ x + y = 41 ⇒ (1)

∵ Each hot dog sold for $1.40 and each hamburger sold for $2.70

∵ He sold x hot dogs and y hamburgers

∵ He made $63.90 from sold them

∴ 1.4 x + 2.7 y = 63.9 ⇒ (2)

Let Us solve the system of equations to find x and y

Multiply equation (1) by -2.7 to eliminate y

∵ (-2.7)x + (-2.7)y = (-2.7)(41)

∴ -2.7 x - 2.7 y = -110.7 ⇒ (3)

- Add equations (2) and (3)

∴ -1.3 x = -46.8

- Divide both sides by -1.3

∴ x = 36

Substitute the value of x in equation (1) to find y

∵ x + y = 41 ⇒ (1)

∴ 36 + y = 41

- Subtract 36 from both sides

∴ y = 5

The number of hot dogs, x is 36 and hamburgers, y is 5 were sold

Learn more:

You can learn more about system of equations in brainly.com/question/3739260

#LearnwithBrainly

6 0
4 years ago
Pleasse and thank u <33
liubo4ka [24]

Answer:

4x-2x+3y+6x+6y          distributive property

4x-2x+6y+3y+6y          commutative property of addition

8x+9y                            combine like terms

Step-by-step explanation:

I hope this helps!

7 0
3 years ago
8.
Tpy6a [65]

Area of the shaded region = area of big square minus area of little square.

Here is the set up:

Let A_s = area of shaded region.

A_s = (2x + 2)(3x - 4) - [(x - 3)(x - 6)]

Take it from here.

3 0
3 years ago
Read 2 more answers
150 students were surveyed on how many text messages to send in a date for different devices. let X represent the number of stud
kakasveta [241]

Given that the total number of students that sent messages = 150 students

a) To obtain the equation to represent the number of students who send text messages, we will sum up the variables in the Venn diagram and equate it to 150.

\begin{gathered} 75+x+3x+x=150 \\ x+3x+x=150-75 \\ 5x=75 \end{gathered}

Hence, the equation is

5x=75

b) Solving for x

\begin{gathered} 5x=75 \\ x=\frac{75}{5}=15 \\ \therefore x=15 \end{gathered}

Therefore, x = 15.

c) The total number of student that uses cell phone = 75 + x = 75 + 15= 90students

The total number of students that sent messages = 150students

The formula for probability is,

\text{Probability = }\frac{\text{Number of students that uses cell phone}}{\text{Total number of students}}

Hence,

P(\text{Number of students that uses cell phone)}=\frac{90}{150}=\frac{3}{5}

Therefore, the probability that a randomly chosen student uses their cell phone to send text messages ​is 3/5.

7 0
2 years ago
The amount of rainfall each month over the past four years is shown below
Angelina_Jolie [31]
Unknown answer, not enough info.
4 0
4 years ago
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