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2 years ago

CHALLENGE FOR YOU COLLEGE PEOPLE What is (5a -7b + 3) + (2a - 6b + 5c - 12)?

Mathematics

1 answer:

Angelina_Jolie [31]2 years ago

7 0

Answer:

7a-13b+5c-9

Hope this helps

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Your work or words should justify your answer (explain how you know). As a math teacher, Josie frequently makes photocopies of f

Doss [256]

Answer:

Yes, because by dividing x by his equivalent y, you find a constant of proportionality being 10.

x / y = 10

Step-by-step explanation:

20 / 2 = 10

50 / 5 =10

60 / 6 = 10

70 / 7 = 10

7 0

3 years ago

Can someone help me with these problems? Please!

masya89 [10]

Step-by-step explanation:

2) Slope can be written as rise over run:

rise: add to the y-value
run: add to the x-value

$a) Slope=-1\ over\ 1\quad \rightarrow \quad (11 + 1, -8 - 1)\implies (12, -9)\\b) Slope=7\ over\ 2\quad \rightarrow \quad (2+2,2+7)\implies (4, 9)\\c) Slope=9\ over\ 4\quad \rightarrow \quad (-5+4,-2+9)\implies (-1, 7)$

3) Slope formula is: $\dfrac{y_2-y_1}{x_2-x_1}$

$slope=\dfrac{15-3}{5-1}=\dfrac{12}{4}=\boxed{3}$

4) Average rate of change is the slope of the given interval:

a) when x = 0, y = 0 and when x = 1, y = -3

$Slope=\dfrac{-3-0}{1-0}=\dfrac{-3}{1}=-3$

b) when x = -2, y = 0 and when x = -1, y = 3

$Slope=\dfrac{3-0}{-1+2}=\dfrac{3}{1}=3$

c) when x = 0, y = 0 and when x = 2, y = 0

$Slope=\dfrac{0-0}{2-0}=\dfrac{0}{2}=0$

3 0

3 years ago

carter needs to wrap 7 presents. he lays the ribbon out flat and says ,if i nake 6 equally spaced cuts i'll have just enough pie

Andrej [43]

Yes he does. If you cut something 6 times you make 7 pieces

8 0

3 years ago

A research group recruits 10 volunteers to try a new brand of tennis shoes. Only 5 volunteers will be selected to participate in

Neporo4naja [7]

Answer:

There are 253 ways to select 5 participants

Step-by-step explanation:

Total number of volunteers to try a new brand of tennis shoes = 10

Number of volunteers to be selected = 5

We are supposed to find number of ways the research group select 5 participants.

We will use combination:

Formula: $^nC_r=\frac{n!}{r!(n-r)!}$

Substitute n = 10 and r = 5

So, $^{10}C_5=\frac{10!}{5!(10-5)!}$

$^{10}C_5=252$

Hence There are 253 ways to select 5 participants

7 0

4 years ago

Christopher went into a restaurant and bought 5 hamburgers and 10 drinks, costing a total of $52.50. Wyatt went into the same re

Elza [17]

Answer: Hamburger: $6.5

Drink ;$2

Step-by-step explanation:

Hi, we have to write an equation for each one

<em>Christoper</em>

5h +10d = $52.50

Where :

h = price of a hamburger

d = price of a drink

<em>Wyatt:</em>

2h + 9d = $31

Now we have the system of equations:

5h+10d=52.50(1)

2h+9d=31 (2)

Isolating "h" from (1)

5h = 52.50 -10d

h = (52.50 -10d)/5

h = 10.5 -2d

Replacing "h" in (2)

2h+9d=31

2(10.5-2d) +9d=31

21 -4d +9d=31

-4d+9d=31-21

5d= 10

d= 10/5

d= $2

Finally, replacing d in (1)

5h+10d=52.50

5h+10(2) =52.50

5h+20=52.50

5h=52.50-20

5h=32.50

h= 32.50/5

h=$6.5

3 0

3 years ago