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loris [4]
2 years ago
13

Jim was thinking of a number. Jim halves the number and gets an answer of 61.2. Form an equation with

Mathematics
1 answer:
ioda2 years ago
3 0

Answer:

X/2 = 61.2

X=122.4

Step-by-step explanation:

Ok so we know that a number was halved so we can use x and equaled to 61.2 so we can do x/2 = 61.2

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Calculate the density of a rock that has a mass of 454 g and a volume of 100.0 cm3.
Katena32 [7]

Answer:

4.54 g/cm^3

Step-by-step explanation:

d = m/v

d = 454 g ÷ 100.0 cm^3

d = 4.54 g/cm^3

3 sig figs so this answer is complete

6 0
3 years ago
What is the solution to the system of equations shown below?
My name is Ann [436]

Answer:

Step-by-step explanation:

____

Good evening ,

_______________

2(7) + 5(1) + 3(-3) = 10

3(7) ­ - (1) + 4(-3) = 8

5(7) - ­ 2(1) + 7(-3) = 12

Then (7,1,-3) is a solution to system

____

:)

8 0
3 years ago
Can someone confirm this? is it correct?
EastWind [94]
<span>60 Sorry, but the value of 150 you entered is incorrect. So let's find the correct value. The first thing to do is determine how large the Jefferson High School parking lot was originally. You could do that by adding up the area of 3 regions. They would be a 75x300 ft rectangle, a 75x165 ft rectangle, and a 75x75 ft square. But I'm lazy and another way to calculate that area is take the area of the (300+75)x(165+75) ft square (the sum of the old parking lot plus the area covered by the school) and subtract 300x165 (the area of the school). So (300+75)x(165+75) - 300x165 = 375x240 - 300x165 = 90000 - 49500 = 40500 So the old parking lot covers 40500 square feet. Since we want to double the area, the area that we'll get from the expansion will also be 40500 square feet. So let's setup an equation for that: (375+x)(240+x)-90000 = 40500 The values of 375, 240, and 90000 were gotten from the length and width of the old area covered and one of the intermediate results we calculated when we figured out the area of the old parking lot. Let's expand the equation: (375+x)(240+x)-90000 = 40500 x^2 + 375x + 240x + 90000 - 90000 = 40500 x^2 + 615x = 40500 x^2 + 615x - 40500 = 0 Now we have a normal quadratic equation. Let's use the quadratic formula to find its roots. They are: -675 and 60. Obviously they didn't shrink the area by 675 feet in both dimensions, so we can toss that root out. And the value of 60 makes sense. So the old parking lot was expanded by 60 feet in both dimensions.</span>
8 0
3 years ago
3x+2y=23<br> 1/2x-4=y<br><br> What should I do for this one...? I dont really understand
Hitman42 [59]

Since you have y alone on one side of the equation......

Use substitution and plug in 1/2x-4 for y in the other equation.


3x+2(1/2x-4)=23\\

Distribute

3x+x-8=23

Combine like terms

4x-8=23

Add 8 to both sides

4x=31

Divide by 4

and x=31/4

Plug this value in for x

31/4*1/2-4=y

Simplify

31/8-4=y

Multiply everything by 8 and simplify

31-32=8y\\-1=8y

Divide.....

y=-1/8


Your answers are:

y=-1/8\\x=31/4



8 0
3 years ago
Lockheed Martin, the defense contractor designs and build communication satellite systems to be used by the U.S. military. Becau
Ray Of Light [21]

Answer:

  p(on schedule) ≈ 0.7755

Step-by-step explanation:

A suitable probability calculator can show you this answer.

_____

The z-values corresponding to the build time limits are ...

  z = (37.5 -45)/6.75 ≈ -1.1111

  z = (54 -45)/6.75 ≈ 1.3333

You can look these up in a suitable CDF table and find the difference between the values you find. That will be about ...

  0.90879 -0.13326 = 0.77553

The probability assembly will stay on schedule is about 78%.

5 0
3 years ago
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