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Travka [436]
3 years ago
7

Solve for x & show steps 2000 = 400√x

Mathematics
1 answer:
Ilya [14]3 years ago
7 0

x=25

Step-by-step explanation:

2000=400√x

Step 1: Flip the equation.

400√x=2000

Step 2: Divide both sides by 400.

400√x/400=2000/400

√x=5

Step 3: Solve Square Root.

√x=5

x=52(Square both sides)

x=25

Check answers. (Plug them in to make sure they work.)

x=25

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A wallet contains $460 in $5, $10, and $20 bills. The number of $5 bills exceeds twice the number of $10 bills by 4, and the num
Butoxors [25]

Answer:

Number of $5 bills = 32

Number of $10 bills = 14

Number of $20 bills = 8

Step-by-step explanation:

Let x number of $5, y number of $10 and z number of $20

The number of $5 bills exceeds twice the number of $10 bills by 4.

Therefore, x = 2y + 4

The number of $20 bills is 6 fewer than the number of $10 bills.

Therefore, z = y - 6

A wallet contains $460 in $5, $10, and $20 bills.

Therefore,

5x + 10y + 20z = 460

Substitute x and y into equation

    5(2y+4) + 10y + 20(y-6) = 460

10y + 20 + 10y + 20y - 120 = 460

                           40y - 100 = 460

                                    40y = 460 + 100

                                    40y = 560

                                      y = 14

  • Put the value of y into x = 2y + 4 and solve for x

                                      x = 2(14) + 4

                                      x = 32

  • Put the value of y into z = y - 6 and solve for z

                                      z = 14 - 6

                                      z = 8

Hence, the each type of bills,

Number of $5 bills = 32

Number of $10 bills = 14

Number of $20 bills = 8

3 0
4 years ago
Read 2 more answers
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Brrunno [24]

Given : Mary has $2300

Given : Mary decides to withdraw a fixed amount of money every month of the Year.

I'm Solving this Question by Verification of the Given Options

Let us Assume, She Withdraws a fixed amount of $190 every Month

⇒ The Amount she has withdrawn in a year = (190 × 12) = $2280

⇒ The Amount left over will be : (2300 - 2280) = $20

But, we can see that there is no $20 among the 2nd Blank Options. So, This Fixed amount of money cannot be the Answer.

Let us Assume, She Withdraws a fixed amount of $181 every Month

⇒ The Amount she has withdrawn in a year = (181 × 12) = $2172

⇒ The Amount left over will be : (2300 - 2172) = $128

But, we can see that there is no $128 among the 2nd Blank Options. So, This Fixed amount of money cannot be the Answer.

Let us Assume, She Withdraws a fixed amount of $180 every Month

⇒ The Amount she has withdrawn in a year = (180 × 12) = $2160

⇒ The Amount left over will be : (2300 - 2160) = $140

But, we can see that there is no $140 among the 2nd Blank Options. So, This Fixed amount of money cannot be the Answer.

Let us Assume, She Withdraws a fixed amount of $191 every Month

⇒ The Amount she has withdrawn in a year = (191 × 12) = $2292

⇒ The Amount left over will be : (2300 - 2292) = $8

We can see that there is a $8 among the 2nd Blank Options. So, This Fixed amount of money is the Answer.

The Fixed whole-dollar amount of money she takes from her account every month is $191 and she'll have 8 left over.

First Blank : $191

Second Blank : $8

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Andrei [34K]

Answer:

Step-by-step explanation:

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3 years ago
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Please help me A line that includes the point (3, 3) has a slope of 4. What
Rom4ik [11]

Answer:You can do this two ways:  Either use the slope intercept form

y = mx + b   with slope m=-2 so y = -2x +b

From that use x=5, y = -3 to solve for b

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Your equation is:  y = -2x + 7

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y = -2x + 10 - 3

y = -2x + 7

Step-by-step explanation:

7 0
3 years ago
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