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zubka84 [21]
2 years ago
14

A customer decides to build a fence around the backyard. The yard is rectangular, and with the house an equal distance from both

property lines. As a result, the fence will have five sections. The short sections, connecting to the house, are each 10 feet in length. The yard then has a depth of 65 feet with a width of 80 feet. How much fencing is needed?
Mathematics
1 answer:
DerKrebs [107]2 years ago
4 0

Answer:

D). 290 feet

Step-by-step explanation:

Length of the yard = 65 feet

Width of the yard = 80feet

The Perimeter of the yard = 2(l + b)

                                           = 2 * (65 + 80)

                                            = 2 * 145

                                             = 290 feet

∵ Fencing required = 290 feet

Thus, <u>option A</u> is the correct answer.

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How many ounces of pure nickel must be added to 150 ounces of alloy 70% pure to make an alloy which is 85% pure?
galben [10]

Answer:

150 oz.

Step-by-step explanation:

There are already 150 ounces of alloy of nickel.

Of this 150 oz, 70% is pure i.e. nickel content = 150(0.7) = 105 oz

Now available is

Nickel       Other metals

105                  45

Let x oz of pure nickel is added.

Then new alloy will have 105+x oz nickel in total of 150+x oz.

Percentage pure = \frac{105+x}{150+x} =85%

Simplify to get

\frac{105+x}{150+x} =\frac{85}{100} \\\\Cross multiply:\\85(150+x) =100(105+x)\\12750+85x =10500+100x\\100x-85x = 12750-10500\\15x = 2250\\x = 150

Hence answer is 150 oz should be added.

6 0
1 year ago
Mike has $600 in his bank account over the last five years the amount in his account has went down to $250 what integer represen
UkoKoshka [18]

600 ---> 250

600 - 250 = 350

350 / 5 = 70

Average decrease in value per year: $70

7 0
2 years ago
You put $1200 in an account that earns 3% simple interest. Y= a (1 + r)t Find the total amount in the account after four years.
olchik [2.2K]

Hello!

To find how much money total will be in the account after four years, you need to use the function, y = a(1 + r)^{t}, as seen above. In this function, a is the starting value, r is the interest rate, and t is the amount of time (in years).

Before substituting values into the function, we need to convert 3% into a decimal. Remember that all percentages are out of 100, so we divide 3 by 100 and remove the percentage sign, or move the decimal two places to the left.

3/100 = 0.03 | 0.03 is the interest rate.

With all the necessary values, we can find the total amount in the account. In this case, a = 1200, r = 0.03, and t = 4.

y = 1200(1 + 0.03)^{4}

y = 1200(1.03)^{4}

y = 1200(1.12550881)

y = 1350.610572, which can be rounded to 1350.61 dollars.

Therefore, after 4 years, the total amount in the account will be about 1350.61 dollars.

6 0
1 year ago
A softball pitcher throws a softball to a catcher behind home plate. The softball is 3 feet above the ground when it leaves the
Xelga [282]

The <em><u>correct answer</u></em> is:

h(t) = –16t² + 50t + 3

Explanation:

The general form of an equation such as this is h(t) = at² + v₀t + h₀, where a is the constant due to gravity, v₀ is the initial velocity and h₀ is the initial height.

We are given that the constant due to gravity is -16.

The initial velocity is 50, and the initial height is 3; this gives us the equation

h(t) = -16t² + 50t + 3

5 0
1 year ago
Read 2 more answers
If PQ=RS, which of the following must be true?
maw [93]

<u>Answer:</u>

If PQ=RS then PQ and RS have the same length. Hence option D is correct

<u>Solution:</u>

Given that, pq = rs  

And, we have to find which of the given options are true.

<u><em>a) pq and rs form a straight angle </em></u>

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

<u><em>b) pq and rs form a zero angle. </em></u>

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

<u><em>c) pq and rs are same segment. </em></u>

If two things equal then there is no condition that both represents a single item.

So this statement is false.

<u><em>d) pq and rs have the same length </em></u>

As given that pq = rs, we can say that they will have the same length  

Hence, option d is true.

4 0
1 year ago
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