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3 years ago

I need help with this question.

2 answers:

7 0

All we need to do is plug in the values and check.
15*60 + 10 * 20 ≥ 1100.
Is this statement true?
15 * 60 = 900
20 * 10 = 200
900+200 = 1100
Is the statement 1100≥1100 true?
Yes! So, (60, 20) is a solution because 1100 is greater than or equal to 1100.

yanalaym [24]3 years ago

6 0

The coordinate pair (60, 20) is a solution because it satisfies the inequality. The coordinate pair (60, 20) is a solution because Ezra earns 60 x $15 = $900 mowing lawns and 20 x $10 = $200 walking dogs, for a total of $1100. Ezra can spend 60 hours mowing lawns and 20 hours walking dogs to earn enough money for the laptop.

You might be interested in

Rationalize the denominator of sqrt -49 over (7 - 2i) - (4 + 9i)

zubka84 [21]

$\sqrt{ \frac{-49}{(7-2i)-(4+9i) } } 
$

This one is quite the deal, but we can begin by distributing the negative on the denominator and getting rid of the parenthesis:

$\frac{ \sqrt{-49}}{7-2i-4-9i}$

See how the denominator now is more a simplification of like terms, with this I mean that you operate the numbers with an "i" together and the ones that do not have an "i" together as well. Namely, the 7 and the -4, the -2i with the -9i.
Therefore having the result:

$\frac{ \sqrt{-49} }{3-11i}$

Now, the $\sqrt{-49}$ must be respresented as an imaginary number, and using the multiplication of radicals, we can simplify it to $\sqrt{49} \sqrt{-1}$
This means that we get the result 7i for the numerator.

$\frac{7i}{3-11i}$

In order to rationalize this fraction even further, we have to remember an identity from the previous algebra classes, namely: $x^2 - y^2 =(x+y)(x-y)$
The difference of squares allows us to remove the imaginary part of this fraction, leaving us with a real number, hopefully, on the denominator.

$\frac{7i (3+11i)}{(3-11i)(3+11i)}$

See, all I did there was multiply both numerator and denominator with (3+11i) so I could complete the difference of squares.
See how $(3-11i)(3+11i)= 3^2 -(11i)^2$ therefore, we can finally write:

$\frac{7i(3+11i)}{3^2 - (11i)^2 }$

I'll let you take it from here, all you have to do is simplify it further.
The simplification is quite straightforward, the numerator distributed the 7i. Namely the product $7i(3+11i) = 21i+77i^2$ .
You should know from your classes that i^2 = -1, thefore the numerator simplifies to $-77+21i$
You can do it as a curious thing, but simplifying yields the result:
$\frac{-77+21i}{130}$

7 0

3 years ago

The car dealership has a newer model usually sold for $25,500 but they are

garik1379 [7]

Answer:

your a dumb

Step-by-step explanation:

7 0

3 years ago

Each bucket holds 325 gallons of water. If it takes 6 buckets to fill a tank, how much water does the tank hold?

Gemiola [76]

Answer:

1950

Step-by-step explanation:

if we do 325 gallons of water times 6 buckets of water we get 1,950 gallons of water in a fraction 325/1950

hope this helps

8 0

2 years ago

One number is 8 more than another. If the sum of the smaller number and twice the larger number is 46, find the two numbers.Let

valkas [14]

Answer:

x = 18 y = 10

Step-by-step explanation:

let the first number be x

let the second number be y

x = y + 8..... equation 1

2x + y = 46.... equation 2

x is the larger number

y is the smaller number.

Rearrange the equation and add equation 1 to equation 2.

x - y = 8

+ 2x + y = 46

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

3x + 0 = 54

3x = 54

divide both sides by 3

x = 54/3

x = 18

Substitute x = 18 into equation 1

x = y + 8

18 = y + 8

collect like terms

y = 18-8

y = 10

3 0

3 years ago

Graph the line with slope -3 passing through the point (3,-4)

Vinvika [58]

Given: $\textsf{Slope = -3, Passes through (3, -4)}$

Find: $\textsf{Equation in slope-intercept form}$

Solution: The first step that we need to take is to plug the given values into the point-slope formula which would help us out since we have both the slope and a point. Using that we would then distribute on the right side of the expression and then subtract 4 from both sides which would isolate y.

Plug in the values

$y - y_1 = m(x - x_1)$

$y - (-4) = -3(x - 3)$

Distribute

$y + 4 = (-3 * x) + (-3 * - 3)$

$y + 4 = -3x + 9$

Subtract 4 from both sides

$y + 4 - 4 = -3x + 9 - 4$

$y = -3x + 9 - 4$

$y = -3x + 5$

Therefore, after plugging in the values and completing the rest of the steps we were able to determine that equation of the data provided would be $y = -3x + 5$ .

7 0

1 year ago