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3 years ago

If UV=5x, VW = 8x - 17, and UW = 11x+11, what is UW

Mathematics

1 answer:

ivolga24 [154]3 years ago

5 0

Answer:

UW=165

Step-by-step explanation:

UV + VW =UW

5x + 8x-17= 11x +11

13x - 17 = 11x + 11

Subtract 11x and add 17 to both sides:

2x= 28

Divide 2 both sides:

x=14

Plug in x to the equation of UW:

11 (14) +11

165

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The mean carrying load of the beams tested is 908.7 pounds per square foot

Step-by-step explanation:

1. Data class 1: 860-879

Midpoint 1: M1=(860+879)/2=1,739/2→M1=869.5

Number of values in data class 1: n1=2

2. Data class 2: 880-899

Midpoint 2: M2=(880+899)/2=1,779/2→M2=889.5

Number of values in data class 2: n2=5

3. Data class 3: 900-919

Midpoint 3: M3=(900+919)/2=1,819/2→M3=909.5

Number of values in data class 3: n3=10

4. Data class 4: 920-939

Midpoint 4: M4=(920+939)/2=1,859/2→M4=929.5

Number of values in data class 4: n4=6

5. Data class 5: 940-959

Midpoint 5: M5=(940+959)/2=1,899/2→M5=949.5

Number of values in data class 5: n5=1

Mean=Sum(Mi*ni)/Sum(ni)

Mean=(M1*n1+M2*n2+M3*n3+M4*n4+M5*n5)/(n1+n2+n3+n4+n5)

Mean=(869.5*2+889.5*5+909.5*10+929.5*6+949.5*1)/(2+5+10+6+1)

Mean=(1,739+4,447.5+9,095+5,577+949.5)/(24)

Mean=(21,808)/(24)

Mean=908.6666666

Rounding to one decimal place:

Mean=908.7

3 0

3 years ago

Tom and Martin both worked 9 hours this week and sold $360 worth of meals. Their hourly wages are $2.15 and $2.50, respectively.

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Tom and Martin worked <u>9 hours</u> this week.

These are their hourly wages:

Tom: $2.15

Martin: $2.50

This means that:

Tom earned 9 x $2.15 in wages, which is equal to $19.35.

Martin earned 9 x $2.50 in wages, which is equal to $22.50.

--------------------

Now, we've been told that Tom and Martin sold $360 worth
of meals but we were not told how much they received in tips.

For all intents and purposes, let's say that they received $n
in tips. 15% of $n in tips would be less than 20% of $n
in tips. Now, Martin is already going to be receiving a higher
wage, and the fact that he is going to be receiving 20% of
$n in tips compounds the logical conclusion that at the end
of the week, he'd be leaving work with more money than Tom.

Answer:

Martin made more money than Tom.

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