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hram777 [196]
4 years ago
15

The barbecue started at half-past 5.

Mathematics
1 answer:
bezimeni [28]4 years ago
8 0

Answer:

7:30

Step-by-step explanation:

Half past 5 would be 5:30.

An hour is 60 minutes, half of 60 is 30

In order to find the time two hours later we must add 2 to 5:30

5:30+2=7:30

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Suzanne wants to put a fence around her square garden. If the garden covers an area of 49ft^2, how many feet of fencing does she
lina2011 [118]

Answer:

The area for a square is given by:

A = x^2

And we can find the dimension for one side like this:

x = \sqrt{A}

Replacing we got:

x = \sqrt{49 ft^2}= 7ft

Then since we are interested in the how many feet of fencing does she need, we can find the perimeter given by:

P = 4x and replacing we got:

P = 4*7 ft = 28 ft

Step-by-step explanation:

For this case we know that Suzanne want to put a fance around a square garden with an area of 49 ft^2

The area for a square is given by:

A = x^2

And we can find the dimension for one side like this:

x = \sqrt{A}

Replacing we got:

x = \sqrt{49 ft^2}= 7ft

Then since we are interested in the how many feet of fencing does she need, we can find the perimeter given by:

P = 4x and replacing we got:

P = 4*7 ft = 28 ft

8 0
3 years ago
Y – x² = 4.5 and y = x^4
8090 [49]
Linear functions are in the form y=mx+b.

But the functions are in the form of y=x^4 and y-x^2=4.5.
Their exponents make them a quadratic function so it doesn't have the same rate of change. Therefore the equations are not linear. They are quadratic.
4 0
4 years ago
Read 2 more answers
By which rule are these triangles congruent?<br> A) AAS <br> B) ASA <br> C) SAS <br> D) SSS
UNO [17]
D) SSS
because yw=yw (common)
yz=yx(given)
zw=wx (given)
6 0
3 years ago
Marilyn knows that she needs $45,000 for a down payment on a house. She found an investment that earns 3.15% interest compoundin
laila [671]
She should save $38,450.39.

The formula for the amount of money in an interest-bearing account that is compounded is

A=p(1+\frac{r}{n})^{nt}

where A is the total amount in the account, p is the amount of principal invested, r is the interest rate as a decimal number, n is the number of times per year interest is compounded, and t is the number of years.  Using our information we have:

45000=p(1+\frac{0.0315}{12})^{12\times5}&#10;\\&#10;\\45000=p(1.002625)^{60}

Divide both sides:
\frac{45000}{1.002625^{60}}=\frac{p(1.002625)^{60}}{1.002625^{60}}&#10;\\&#10;\\38450.39=p
5 0
3 years ago
The fare for a taxi cab is $2.50 per passenger and $0.75 for each mile. A group of friends has $22.00
xeze [42]

For this case we have to:

x: Let the variable representing the number of people to travel in the group

y: Let the variable representing the number of miles traveled.

If friends only have $22 then we have the following inequality:

2.50x + 0.75y \leq22

Now, if there are three people in the group we have that x = 3.

2.50 (3) + 0.75y \leq22\\7.5 + 0.75y \leq22\\0.75y \leq22-7.5\\0.75y \leq14.5\\y\leq \frac {14.5} {0.75}\\y\leq19.33

The taxi can travel a maximum of 19.33 miles.

On the other hand, if the group wants to travel 10 miles then we have to y = 10.

2.50x + 0.75 (10) \leq22\\2.50x + 7.5 \leq22\\2.50x \leq22-7.5\\2.50x \leq14.5\\x\leq \frac {14.5} {2.50}\\x \leq5.8

Thus, they could travel a maximum of 5 people.

ANswer:

2.50x + 0.75y \leq22

Traveling 3 people, the taxi can travel a maximum of 19.33 miles

Traveling 10 miles, a maximum of 5 people can travel

7 0
3 years ago
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