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nikklg [1K]
11 months ago
13

Daryl is boarding a plane he has two checked bags of equal weight and a backpack that weighs 4 kilograms the total weight in Car

lsbad is 35kg write an expression to determine the weight w of each of Carl's checked bags and did the weight of each of his checked bags.

Mathematics
1 answer:
zalisa [80]11 months ago
5 0

Since we have two bags with weight w and one backpack with 4 kg, and the total is 35 kg, we can write the equation:

2w+4=35

Solving this equation for w, we have:

\begin{gathered} 2w=35-4 \\ 2w=31 \\ w=\frac{31}{2} \\ w=15.5 \end{gathered}

So each checked bag has 15.5 kg.

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Solve each of the following system of equations by substitution!!!<br><br> x-5y=-49<br> y=-2x+1
saul85 [17]

Answer:

(-4,9)

Step-by-step explanation:

substitute the given value for y into the first equation

x-5(-2x+1)=-49

distribute

x+10x-5=-49

add like terms

11x-5=-49

add 5 to both sides

11x=-44

divide both sides by 11

x=-4

now plug x into into the second equation

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8 0
3 years ago
Finish labeling the number of elements in the regions in the Venn diagram shown to the right, where the subsets
Virty [35]

Answer:

t=14

v=13

q=12

s=23

w=-4

x=28

Step-by-step explanation:

we know that the universal set =100

so, everything in it must add up to 100

first, from the information given to us,

t= n(A n C)= 14

v=n(B n C)= 13

to find q

we know from our guide that n(A) =40

which means everything inside A will add up to 40

therefore,

q + 7 + 7 + t = 40

and we already know that t = 14

so, that will be;

q + 7 + 7 + 14 = 40

therefore, q = 12

to find s,

we all know that n(B) = 50

which means that everything inside B will be equal to 50

therefore,

s + 7 + 7 + v = 50

and we know that v = 13

therefore,

s + 7 + 7 + 13 = 50

and s will end up to be = 23

to find w,

we know that n(C) = 30

so, everything in C end up to be all equal to 30

therefore,

t + 7 + w + v = 30

from our solution, t = 14, v = 13

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14 + 7 + w

4 0
3 years ago
Use the data set to answer the question.
vagabundo [1.1K]

Answer:

The only choice showing the correct distribution of frequencies is c.

Step-by-step explanation:

Data Plots

Considering the provided data:

{11,15,8,2,7,10,9,12,11,8,12,3,14,8,2,9}

To produce a data plot, it's convenient to sort the data:

{2,2,3,7,8,8,8,9,9,10,11,11,12,12,14,15}

It's easier now to see the frequency of each data:

# :f

-----

2 :2

3 :1

7 :1

8 :3

9 :2

10:1

11:2

12:2

14:1

15:1

The only choice showing the correct distribution of frequencies is c.

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3 years ago
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