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Viktor [21]
3 years ago
15

Solve for x. and please explain your answer

Mathematics
1 answer:
Natali [406]3 years ago
7 0
Next to angle x is 102° and is you add 102 to angle x it has to equal 180 because that’s the value of half the circle so you do 180-102 which will give you 78
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Two certificates of deposit pay interest that differ by 3%. Money invested for one year in the first CD earns $240 interest. The
Soloha48 [4]

a = interest rate of first CD

b = interest rate of second CD

and again, let's say the principal invested in each is $X.

\bf a-b=3\qquad \implies \qquad \boxed{b}=3+a~\hfill \begin{cases} \left( \frac{a}{100} \right)X=240\\\\ \left( \frac{b}{100} \right)X=360 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{a}{100} \right)X=240\implies X=\cfrac{240}{~~\frac{a}{100}~~}\implies X=\cfrac{24000}{a} \\\\\\ \left( \cfrac{b}{100} \right)X=360\implies X=\cfrac{360}{~~\frac{b}{100}~~}\implies X=\cfrac{36000}{b} \\\\[-0.35em] ~\dotfill\\\\

\bf X=X\qquad thus\qquad \implies \cfrac{24000}{a}=\cfrac{36000}{b}\implies \cfrac{24000}{a}=\cfrac{36000}{\boxed{3+a}} \\\\\\ (3+a)24000=36000a\implies \cfrac{3+a}{a}=\cfrac{36000}{24000}\implies \cfrac{3-a}{a}=\cfrac{3}{2} \\\\\\ 6-2a=3a\implies 6=5a\implies \cfrac{6}{5}=a\implies 1\frac{1}{5}=a\implies \blacktriangleright 1.2 = x\blacktriangleleft

\bf \stackrel{\textit{since we know that}}{b=3+a}\implies b=3+\cfrac{6}{5}\implies b=\cfrac{21}{5}\implies b=4\frac{1}{5}\implies \blacktriangleright b=4.2 \blacktriangleleft

3 0
3 years ago
Please answer the following essay question:
Dmitriy789 [7]
Gfryudsgjxeujhhhdsethjhyui
4 0
3 years ago
Suppose that of all babies born in a particular hospital are girls. If babies born in the hospital are randomly selected, what i
mario62 [17]

Answer:

100%

Step-by-step explanation:

If all the babies born in that hospital are girls then if randomly selected they will all be girls because there are no boys even at that hospital.

5 0
3 years ago
Ms jenkins has a grass lawn that is 24m wide and 30m long. mr jenkins cuts the grass at a reate of 9m per minute. how long will
Kisachek [45]

It will take Mr. Jenkins 1 hr and 20 minutes to cut all the grass.

To know how long it will take Mr. Jenkins to cut all the grass, get the total area of the lawn and divide it by the rate Mr. Jenkins cut the grass.

The area of the lawn can be calculated using the formula for the area of a rectangle given by:

A = l x w

where l is the length and w is the width.

Using this formula, the grass lawn that is 24 m wide and 30 m long has an area of:

A = l x w

where

l = 30 m

w = 24 m

A = 30 m x 24 m

A = 720 m^2

Meanwhile, the time it will take Mr. Jenkins to cut the grass lawn with an area of 720 m^2 can be computed using the rate.

amount = rate x time

720 m^2 = 9 m^2/minute x t

t = 720 / 9

t = 80 minutes = 1 hr 20 minutes

To know more about rate, visit brainly.com/question/24950565.

#SPJ4

5 0
2 years ago
Witch set of orderd pairs contains only points that are on the graph of the function y=12-3x
anygoal [31]
You can try then by plotting the points in. 
The answer is C

Make sure by plotting in the points, lets take (-5,27)
y = 12 -3(-5)
y = 12 + 15
y = 27
27 = 27
This is correct 

Lets try (-1,15)
y = 12 -3(-1)
y = 12 + 3 
y = 15 
15 = 15
This is correct 

Lets try (8,-12)
y = 12 -3(8)
y = 12 - 24 
y = -12 
-12 = -12
This is correct too. 

The correct ordered pairs are <span>C(-5,27),(-1,15),(8,-12)</span>
5 0
3 years ago
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