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3 years ago

Solve the system of equations using substitution y=x-1 and y=-2x+5

1 answer:

7 0

Since the two equations equal y, set them equal to each other.

x-1=-2x+5

From there, solve for x.

First get x on one side, by using the addition property of equality.

x-1=-2x+5
3x-1=5

Isolate x by adding 1.
3x=6

Lastly get x all by itself by dividing each side by 3.
x=2

You can now substitute your x-value, 2, into one of the equations (or both, if you wish; either one will result in the same answer.)

y=x-1
y=2-1
y=1

OR

y=-2x+5
y=-2(2)+5
y=-4+5
y=1

Final answer:
x=2 and y=1

Any questions or anything you would like me to clarify, feel free to ask :)

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Debbie works in a warehouse. Each cart that she uses to move boxes can hold no more than 200 pounds. If each box she puts on the

Nady [450]

Answer:

She can put a maximum of 10 boxes in the cart.

Step-by-step explanation:

Given that each cart that Debbie uses to move the boxes supports a maximum of 200 pounds, and that each box that she places in the cart weighs 20 pounds, to determine the maximum number of boxes that can fit in the cart, the following calculation must be performed :

200/20 = X

20/2 = X

10 = X

Thus, she can put a maximum of 10 boxes in the cart.

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2 years ago

Three zeroes of a fifth degree polynomial function are 1/3,4-6i, and -2+11i . Determine the

UNO [17]

If a polynomial with real coefficient has a complex zero, the conjugate of that number will be a zero as well.

So, if 4-6i is a zero, 4+6i will be a zero as well

If -2+11i is a zero, -2-11i will be a zero as well

So, the zeroes are

$\dfrac{1}{3},\ 4-6i,\ 4+6i,\ -2+11i,\ -2-11i$

4 0

3 years ago

Read 2 more answers

If Gabe's Soccer Ball Company is able, due to competitive pressure, to charge $60 for a new soccer ball, while one soccer ball c

Brums [2.3K]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Selling price= $60

Unitary variable cost= $28

Fixed costs= $15,000

First, we need to calculate the average total cost:

Average cost= total cost / number of units

For example, for 1 unit and 10,000 units:

1 unit:

Average cost= 15,028/1 = 15,028

10,000 units:

Average cost= (15,000 + 28*10,000) / 10,000

Average cost= $29.5

Now, we can calculate the break-even point in units:

0= (60*x) - (28*x) - 15,000

x= number of units to break-even

0= 32x - 15,000

15,000/32= x

468.75=x

break-even point in units= 469

For the desired profit of $10,000:

10,000 = (60*x) - (28*x) - 15,000

25,000= 32x

781.25= x

Break-even point= 782 units

Finally, fixed costs dropped by $8,000:

0= 32x - 7,000

x= 7,000/32

x= 218.75

Break-even point= 219

Difference= 250 units

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3 years ago

Begin by clearly stating the problem; you can copy this from the problem set file. Show how you solved the problem step by step,

iogann1982 [59]

Answer: 13%

Step-by-step explanation:

We know that the formula to find the simple interest :

$I=Prt$ , where P is the principal amount , r is rate (in decimal )and t is the time period (in years).

Given : Albert borrowed $19,100 for 4 years. The simple interest is $9932.00. Find the rate.

i.e. P = $19,100 and t= 4 years and I = $9932.00

Now, Substitute all the values in the formula , we get

$9932=(19100)r(4)\\\\\Rightarrow\ r=\dfrac{9932}{19100\times4}\\\\\Rightarrow\ r=0.13\ \ \ \text{[On simplifying]}$

In percent, $r=0.13\times100\%=13\%$

Hence, the rate of interest = 13%

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2 years ago

Conrad is cleaning his room. His bookcase has 7 shelves. He put 18 books on each shelf. How many books did Conrad put away? (My

mezya [45]

Answer:10

Step-by-step explanation:

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2 years ago