Leslie currently spends $20 to have her yard raked each fall. Leslie is considering buying a leaf blower for $70. The model she is considering usually lasts four years. What is the total monetary cost or benefit of buying the leaf blower?

Answers

Answer 1
Answer: Cost of paying someone to rake her yard for for years would be $80. The leaf blower would cost $70. So she would save $10 buy buying the leaf blower.

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Give all solutions if the nonlinear system of equations, including those with no real complex components.y=x^2+6x 4x-y=-24
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What are the two solutions of the equation (-3n)(2n-5)=0

Answers

(-3n)(2n-5)=0
you need to find when -3n=0 and when 2n-5=0
a.
-3n=0
n=0
b.
2n-5=0
2n=5
n=2.5

answer n = 0, 2.5

Sheila bought burgers and fries for her children and some friends. the burgers cost $2.05 each and the fries are $.85 each. she bought a total of 14 items, fir a total cost if $19.10. how many of each did she buy?

Answers

Let's have B stand for burgers, and F stand for fries.
2.05B+0.85F=$19.10  - This equation is set equal to total price.
B+F=14  - This equation is set equal to total number of items.
Subtract the F in the bottom equation.
B=14-F
Put this in place of B in the first equation.
2.05(14-F)+0.85F=19.10
Make sure you distribute the 2.05 properly, over both the 14 and the F.
28.7 - 2.05F+0.85F=19.10
Collect like terms for the F values.
28.7 - 1.2F=19.10
Subtract 28.7 from both sides.
-1.2F=-9.6
Divide by -1.2 on both sides.
F=8
Put this value in place of F in either equation.
B+8=14
B=6
So F=8 and B=6.

The product of eight minus a number and seven equals forty when decreased by five. Which equation represents the sentence?A)
5(x - 8) - 7 = 40


B)
5(8 - x) - 7 = 40


C)
7(x - 8) - 5 = 40


D)
7(8 - x) - 5 = 40

Answers

Answer : D  7(8-x)-5 = 40

The product of eight minus a number and seven equals forty when decreased by five

Let the unknown number be x

eight minus a number means 8 -x

For product we multiply

The product of eight minus a number and seven

It means the product of 8-x  and 7

So expression becomes 7(8-x)

The product of eight minus a number and seven equals forty when decreased by five

To decrease by 5 we subtract 5

7 (8-x) -5 and this equals 40

So equation becomes 7(8-x)-5 = 40

D.) 7(8 - X) - 5 = 40

let X = unknown number

eigth minus a number is 8 - x. since the product is seven and eight minus a number then 7 * [8-x] or 7(8-5).
40 is its equivalent when the product is decreased by 5; therefore, 7(8-x) - 5= 40.

Rounak has 4 packs of 12 glitter pens. She has 7 packs of 8 scented pens. She gives her friend a pack of glitter pens in exchange for a new pack of scented pens. How many pens does Rounak have now?​

Answers

Answer: Rounak has 100 pens now.

Solve the following system of equations by graphing and select the correct answer below:2x + 6y = 20
3x _ 2y = 8


Answers:
x = 4, y = 2
x = 4, y = _2
x = _2, y = 4
x = 2, y = 4

Answers

the only answer is x = 4, y = 2, 
2(4) + 6(2) = 20
3(4) _ 2(2) = 8
the graph is so easy, please try!!

Answer:

Option A is correct.

x =4 , y = 2

Explanation:

Given the system of equation:

2x+6y = 20                   ......[1]

3x-2y = 8                       .....[2]

Multiply equation [2] by 3 both sides we get;

3 \cdot (3x-2y) = 3 \cdot 8

Using distributive property:a\cdot (b+c) = a\cdot b+ a\cdot c

9x - 6y = 24                     .....[3]

Add equation [1] and [3], to get eliminate y we get;

2x+6y+9x-6y= 20+24

Combine like terms we have;

11x = 44

Divide both sides by 11 we get;

x = 4

Substitute the value of x =4 in [1] we get;

2(4) + 6y = 20

8 + 6y = 20

Subtract 8 from both sides we have;

6y = 12

Divide both sides by 6 we have;

y = 2

Therefore, the values of x and y are; 4 and 2.


The telephone rates between your city and the city where your brother lives are $.54 for the first minute and $.22 for each additional minute. Calculate the cost of a 10-minute call to your brother.

Answers

The first minute costs $0.54.
From the second minute to nine minutes, each minute costs $0.22.
Therefore, the total cost within 10 minutes is
$0.54 + 9($0.22) = $2.52