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Bingel [31]
3 years ago
9

The larger of 2 numbers is 12 more than the smaller. the sum 84. find the numbers

Mathematics
1 answer:
Anestetic [448]3 years ago
8 0
Let the smaller number be x.

Larger number = 12 + x

Sum = 84

x + 12 + x = 84

2x + 12 = 84

2x = 72

x = 36

Hence, the numbers are 36 and 48.
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In the year 2009, a company made $5.4 million in profit. For each consecutive year after that, their profit increased by 11%. Ho
mrs_skeptik [129]

Answer:

Hi Grif05!

Your answer is 7.1 million.

To be exact , 7182000

Step-by-step explanation:

The distance between 2009 and 2012 is 3 years so we multiply.

11x3=33.

Now we must find 33% of 5.4 million.

33 % of 5.4 million is 1782000.

33% of 5400000 = 1782000

We then add 33% of 5.4 million to itself.

We get an answer of 7182000.

Hope this helps! Tell me if I'm wrong please :)

5 0
3 years ago
On the coordinate grid of a map. Jeff's house is located at (9,5). Hannah's house is at (-5,-5). Kenya's house is located at the
Andru [333]
The midpoint formula is \frac{ x_{1} +  x_{2} }{2},  \frac{ y_{1}+ y_{2}  }{2}
So just plug in the corresponding coordinates in the correct place to get the midpoint.
x_1=-5 ; x_2=9 ;  y_1=-5 ; y_2=5
((-5 + 9)/2 , (-5 + 5)/2)
(4/2 , 0/2)
(2,0) is where Kenya's house is(which is the midpoint). 

The distance formula is a bit more complicated than that. The distance formula is D=\sqrt{({y_{2}- y_{1} }^{2})  + ({ x_{2}- x_{1}}^{2} )  }
In this case now, your looking for the distance from Hannah's house to Kenya's house.
D=\sqrt{(-5-2)^{2} + (-5-0)^{2}  }
=\sqrt{49+25}
=\sqrt{74} ≈8.6023
8 0
3 years ago
Read 2 more answers
The function — is used to model the height of an object projected in the air, where h(t) is the height in meters and t is the ti
MissTica

The answer choice which represents the domain and range of the function h(t) as given in the task content in which case, values are rounded to the nearest hundredth is; Domain: [0, 3.85] and Range: [0, 18.05].

<h3>What are the domain and range of the function as given in the task content?</h3>

It follows from convention that the domain of a function simply refers to the set of all possible input values for that function.

Also, the range of a function is the set of all possible output values for such function.

On this note, by observing the graph in the attached image, it follows that the Domain of the function in discuss is; [0, 3.85].

While the range is the difference between the minimum and maximum height attained and can be computed as follows;

At minimum height, t = 0; hence, h(t) = 0.

At maximum height; h'(t) = 0 where h'(t) = h'(t)=-9.74t+18.75 and hence, t = 1.92.

Hence, h(1.92) = 18.05.

The range is therefore; [0, 18.05].

Read more on domain and range;

brainly.com/question/1942755

#SPJ1

6 0
2 years ago
How do you graph inverse functions?
balu736 [363]
A function and its inverse are reflected over the line y = x. To graph a function and its inverse, all you have to do is graph the function and then switch all x and y values in each point to graph the inverse.
3 0
3 years ago
There are 24 girls on the track team. First race2/3 girl ran.only1/4 girl ran in second race. 1/6 on third race. Hiw many more g
alukav5142 [94]

Answer:

10 more girls

Step-by-step explanation:

So here 2/3 of 24 ran for first race

Then it gives us that 16 girls ran for first race.

Next, 1/4 of 24 ran for second race

That is 6 girls

The remaining girls ran for the third race,

24 - 22

2 girls

16 - 6 = 10

So for first race 10 more girls ran

5 0
3 years ago
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