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3 years ago

A jacket is marked down 55% off the original price. If the original price was $160.00, what is the sale price

Mathematics

1 answer:

allochka39001 [22]3 years ago

5 0

Answer:

$88

Step-by-step explanation:

i used the calculator on my computer.

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Carrie wished to build a rectangular dog run along theside of her garage. The garage will serve as one side of the fence. If she

Nat2105 [25]

Given:

Carrie has 180 ft of the fencing and wishes the fence to be 4times as long as it is wide.

To Find:

The area in square feet that the fencing encloses.

Answer:

The fence encloses 3600 sq ft.

Step-by-step explanation:

Let x denote the length of the dog run and y denote the width of the dog run.

Given that the garage wall serves as one side of the dog run, we are left with 3 other sides to instal the fence.

Carrie has 180ft of fencing with her, so the sum of the lengths of the 3 sides has to be equal to 180. We can represent this in the form of an equation as

$x+y+y=180\\\\x+2y=180\\\\x=180-2y$

We are also given that Carrie wishes the fence to be 4 times as long as it is wide.

So,

$x=4y$

Replacing this value into the first equation, we have

$4y=180-2y\\\\
6y=180\\\\
y=30$

Therefore,

$x=(4)(30)=120$

Thus, the length of the dog run is 120ft and the width is 30ft.

The area enclosed will be equal to the length multiplied with the width. So,

$(120)(30)=3600$

The fence encloses 3600 sq ft.

4 0

3 years ago

I don't know who needs to hear this but I wanted to hopefully reach out to someone.

Alex787 [66]

Answer:

aw thank you sm <3 !!! needed to hear that

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Help me with this ASAP PLEASE!!!❤️

DaniilM [7]

The third one its already in order

7 0

4 years ago

Help me please i dont understand

ELEN [110]

Answer:

6/5 or 1.2, they're the same value

Step-by-step explanation:

When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation: $\frac{y_2-y_1}{x_2-x_1}$ which is essentially $\frac{rise}{run}$ . The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you: $\frac{4- (-2)}{2- (-3)} = \frac{6}{5}$ that's the rate of change

8 0

2 years ago

The most recent census for a city indicated that there were 919,716 residents. The population of the city is expected to increas

OLEGan [10]

Answer:

1,474,951.

Step-by-step explanation:

Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

$P(t)=P_o(1+r)^t,$ where \left\{\begin{array}{lll}P_o=$Initial Population\\r$=Growth rate\\$t=time (in years)\end{array}\right\\P_o=919,716\\r=3.7\%=0.037\\$t=13 years$

Therefore, the population of the city in 13 years time will be:

$P(t)=919,716(1+0.037)^{13}\\\\=919,716(1.037)^{13}\\\\=1,474,950.9\\\\\approx 1,474,951$

The population be at that time will be approximately 1,474,951.

3 0

3 years ago