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Drupady [299]
3 years ago
12

Is y=x+8 a linear equation? Please help

Mathematics
1 answer:
Stels [109]3 years ago
5 0

Answer:

Yes, it is a linear equation

Step-by-step explanation:

Since the equation is in the form y = mx + b, this means that it is a linear equation.

For every increase in x, the y value will increase by the same amount every time.

So, yes, it is a linear equation.

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Jack is saving money to buy a computer that costs $960. He is saving $60 a week. Hiw many weeks will it take him to save enough
aniked [119]

Answer:

It will take Jack 16 weeks to save enough money to buy the computer.

Step-by-step explanation:

To find the answer, we can divide the cost of the computer ($960) by the amount of money Jack is saving per week ($60), which leaves us with the number of weeks it will take him to save enough money to buy the computer (16).

To check this math, we can multiply the amount of money Jack is saving per week ($60) by the number of weeks it will take him to save enough money to buy the computer (16), which gives us the cost of the computer ($960) and tells us that this answer is correct.

6 0
3 years ago
Solve: 2x+7/5 - x-3/10 = x+1/15<br>find the value of x and verify the result will RHS ​
choli [55]

Step-by-step explanation:

<h3><u>Given Question :- </u></h3>

Solve for x :-

\dfrac{2x + 7}{5} -  \dfrac{x - 3}{10}  =  \dfrac{x + 1}{15}

\red{\large\underline{\sf{Solution-}}}

Given linear equation is

\rm :\longmapsto\: \dfrac{2x + 7}{5} -  \dfrac{x - 3}{10}  =  \dfrac{x + 1}{15}

\rm :\longmapsto\: \dfrac{2(2x + 7) - (x - 3)}{10}  =  \dfrac{x + 1}{15}

\rm :\longmapsto\: \dfrac{4x + 14 - x  +  3}{10}  =  \dfrac{x + 1}{15}

\rm :\longmapsto\: \dfrac{(4x - x)  + (14 + 3)}{10}  =  \dfrac{x + 1}{15}

\rm :\longmapsto\: \dfrac{3x  + 17}{10}  =  \dfrac{x + 1}{15}

On multiply by 5 on both sides,

\rm :\longmapsto\: \dfrac{3x  + 17}{2}  =  \dfrac{x + 1}{3}

On cross multiplication, we get

\rm :\longmapsto\:3(3x + 17) = 2(x + 1)

\rm :\longmapsto\:9x +51 = 2x + 2

\rm :\longmapsto\:9x  - 2x = 2 - 51

\rm :\longmapsto\:7x = - 49

\bf\implies \:x =  - 7

<h3><u>VERIFICATION</u></h3>

Consider, LHS

\red{\rm :\longmapsto\: \dfrac{2x + 7}{5} -  \dfrac{x - 3}{10}}

On substituting the value of x, we get

\red{\rm \:  =  \:  \dfrac{2( - 7) + 7}{5} -  \dfrac{ - 7 - 3}{10}}

\red{\rm \:  =  \:  \dfrac{ - 14 + 7}{5} -  \dfrac{ - 10}{10}}

\red{\rm \:  =  \:  \dfrac{ - 7}{5}  + 1}

\red{\rm \:  =  \:  \dfrac{ - 7 + 5}{5}}

\red{\rm \:  =  \:  \dfrac{ - 2}{5}}

Consider RHS

\green{\rm :\longmapsto\:\dfrac{x + 1}{15}}

On substituting the value of x, we get

\green{\rm \:  =  \: \dfrac{ - 7 + 1}{15}}

\green{\rm \:  =  \: \dfrac{ - 6}{15}}

\green{\rm \:  =  \: \dfrac{ - 2}{5}}

\rm \implies\:LHS=RHS

HENCE, VERIFIED

5 0
3 years ago
Read 2 more answers
How many positive integers less than 2018 are divisible by at least 3, 11, or 61?
Schach [20]
To find all the positive integers less than 2018 that are divisible by 3, 11, and 61, you will use what you know about factors.

3, 11, and 61 are all answers.  So are 33, 183, 671, and 2013.

If you put these in factors, the product will be divisible by them!

3 x 11 = 33
3 x 61 = 183
11 x 61 = 671
3 x 11 x 61 = 2013

Take each number and square it, cube it, etc...
9, 27, 81, 243, 729
121, 1331

9 x 11 = 99
27 x 11 = 297
81 x 11 = 891

121 x 9 =1089
121 x 3 =  363

61 x 9 = 549
61 x 27 = 1647

Everything in bold is a correct answer.
7 0
4 years ago
A building in the shape of a rectangular prism needs to be painted. Some facts about the building are shown below.
algol [13]

Answer:

(2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

Step-by-step explanation:

The lateral faces of the building are the 4 sides of the building consisting:

2 rectangles of 120 ft by 80 ft

Area of the two rectangular faces = (2)(120)(80)

And

2 rectangles of 120 ft by 50 ft

Area of the two rectangular faces = (2)(120)(50)

✔️Total lateral surface area of the building = (2)(120)(80) + (2)(120)(50)

Note: we are asked to find the expression that represents the total surface area that needs to be painted given that there are 60 windows on each lateral face of the building of the shape of a square with side lengths of 5 ft.

Therefore, the total lateral surface area of the building that will be painted = total lateral surface of the building - total area covered by the 60 windows on each face of the building

Surface area covered by 60 windows in the 4 lateral face of the building = (4)(60)(5²)

✅total lateral surface area of the building that will be painted = (2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

3 0
3 years ago
Is 93 divisible by 3 . True or false
pishuonlain [190]
True, as 93 divided by 3 is 31; a whole number :)
7 0
3 years ago
Read 2 more answers
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