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natali 33 [55]
2 years ago
12

One of Madison's hobbies is to locate hidden geocaches. To find yesterday's cache, Madison was instructed to start at a water fo

untain at a local park. Then, the directions had her walk 15 yards due west and 8 yards due south. If this was the location of the cache, how far was it from the water fountain where she started?
Mathematics
1 answer:
antoniya [11.8K]2 years ago
8 0

Answer:

24 yard of the water fountain

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Which is not equivalent to 3/5
Valentin [98]

Answer: d.

15/24 is not an equivalent fraction of 3/5.

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The length of a rectangle is three inches more than the width. the area of the rectangle is 180 inches. find the width of the re
ch4aika [34]

We have a rectangle with length L that is 3 inches more than the width W. Then we can write this as:

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The area of the rectangle is 180 square inches.

We have to find the width W.

As the area is equal to the product of the length and the width, we can write this equation and solve for W as:

\begin{gathered} A=180 \\ L\cdot W=180 \\ (W+3)\cdot W=180 \\ W^2+3W=180 \\ W^2+3W-180=0 \end{gathered}

We have a quadratic equation. The roots of this equation will be the mathematical solutions.

We can find the roots using the quadratic formula:

\begin{gathered} W=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ W=\frac{-3\pm\sqrt[]{3^2-4\cdot1\cdot(-180)}}{2\cdot1} \\ W=\frac{-3\pm\sqrt[]{9+720}}{2} \\ W=\frac{-3\pm\sqrt[]{729}}{2} \\ W=\frac{-3\pm27}{2} \\ W_1=\frac{-3-27}{2}=-\frac{30}{2}=-15 \\ W_2=\frac{-3+27}{2}=\frac{24}{2}=12 \end{gathered}

The solutions are W = -15 and W = 12.

The first one is not valid, as W has to be greater than 0.

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Answer: the width is W = 12 inches.

6 0
1 year ago
Whats 1+1!!!!!!!!!!!!!!!!!!!!!!!!
ryzh [129]

Answer:

♡ madeline here ♡

1+1=2 i'm so sorry i am late! ☆

have a great day! hope this helps.

- madeline/madi

✧・゚: *✧・゚:・゚✧*:・゚✧・゚

Step-by-step explanation:

8 0
2 years ago
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dimaraw [331]

Answer:

98 boxes


Step-by-step explanation:

If 56 is  \frac{4}{7} of the total, we can set up an equation like this:

56=\frac{4}{7}*T

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Solving for T gives us the answer:

56=\frac{4}{7}T\\T=\frac{56}{\frac{4}{7}}\\T=56*\frac{7}{4}\\T=98

There were 98 boxes in total.

5 0
2 years ago
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Answer:

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Step-by-step explanation:

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