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Andrews [41]
3 years ago
13

What is the slope of the line that

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
6 0

Answer: M=1/3

Step-by-step explanation: We know how to find the slope by using the formula: y2-y1/x2-x1

Then we get 3-1/3--3=2/6=

1/3

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Dimensions of a prism has a scale factor of 7/4 how will this affect surface area<br><br> Plz help
Margaret [11]
The surface area will increase by a factor of 49/16
6 0
3 years ago
The price of the box of 15 stickers is $6. The price of the box of 25 stickers is $8. All prices are without tax, and the price
spayn [35]

<u><em>Answer:</em></u>

A box of 50 stickers would cost $13

<u><em>Explanation:</em></u>

<u>1- getting the equation representing the price:</u>

We have two variables; the number of stickers and the price of the box

We can note that the price is the dependent variable (y) while the number of stickers is the independent one (x)

<u>We are given that:</u>

A box of 15 stickers cost $6..........> first point is (15,6)

A box of 25 stickers cost $8 ........> second point is (25,8)

The general equation of the linear line is:

y = mx + c

where m is the slope and c is the y-intercept

<u>i. getting the slope:</u>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{8-6}{25-15}=0.2

The equation now became: y = 0.2x + c

<u>ii. getting the y-intercept:</u>

To get the y-intercept, use any of the given points and substitute in the equation we got in part i. I will use the point (15,6)

y = 0.2x + c

6 = 0.2(15) + c

c = 6 - 0.2(15) = 3

<u>The final equation is:</u>

y = 0.2x + 3

where y is the price of the box and x is the number of stickers it contains

<u>2- getting the price of a box with 50 stickers:</u>

To get the price of a box of 50 stickers, simply substitute with x = 50 in the equation we got from part 1

<u>This is done as follows:</u>

y = 0.2(50) + 3 = 13

Therefore, a box of 50 stickers will cost $13

Hope this helps :)

5 0
3 years ago
What value of x makes the equation true?<br><br> 16 + (18 + 10) = (x + 18) + 10<br><br> x = ?
choli [55]

Answer:

  See below

Step-by-step explanation:

16 + (18 + 10) = (x + 18) + 10x

16 + 28 = (x + 18) + 10x        Add like terms in the parentheses

44 = (x + 10x) + 18               Use the community property to regroup like

                                            terms

44 = 11x + 18                         Simply

<u>-18 =        -18</u>                         Substract 18 from both side

26  = 11x                               Simply

<u>26</u>  =  <u>11x</u>                              Divide by 11

11        11

2\frac{4}{11} = x                               Reduce                

3 0
2 years ago
Please help me i dont get it
Vladimir [108]

Answer:

a) (x+2)(x+3)

b) (x+2)(x+3)=0, x=-2 and x=-3

Step-by-step explanation:

3 0
3 years ago
The aquarium has 198 guppies, angelfish and catfish altogether.
BabaBlast [244]

Answer:

Number of catfish = 28

Step-by-step explanation:

Let the number of catfish = c

Number of angle fish = c + 6

Number of guppies = 4*(c + 6) = 4c + 4*6 = 4c + 24

Total fishes = 198

c + c + 6 + 4c + 24 = 198           {Combine like terms}

c + c +4c + 6 + 24 = 198

                6c + 30 = 198              {Subtract 30 from both sides}

                     6c    = 198 - 30

                     6c   = 168

                       c = 168/6           {Divide both sides by 6}

                       c = 28

5 0
3 years ago
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