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MA_775_DIABLO [31]
2 years ago
6

Need help will mark Brainliest

Mathematics
1 answer:
Svetach [21]2 years ago
5 0

Answer:

250 ft.

Step-by-step explanation:

It seems that you are learning the side-splitter theorem right now. If a line is parallel to one side of the triangle and intersects the other two sides, it divides the side proportionally. From the picture we can tell that the streets are parallel, with a line of intersection. Therefore, we can create the following equation of proportionality:

\frac{375}{300}  = \frac{x}{200}

Now that we have this equation, we can use the <u>butterfly method</u> to solve for x. We <u>cross multiply</u>:

375*200=300x\\

Now, all we have to do is <u>isolate</u> the variable to find x:

75000=300x\\x=250

Therefore, the distance of Orange Ave between the 3rd St. and 4th St. is 250 ft.

<em>I hope this helps! Please let me know if you have any further questions :)</em>

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After an importer paid 30% of the cost of an item in taxes and $65.00 for freight charges, the total bill was $520.00. The cost
Marianna [84]

Step-by-step explanation:

let the cost of the item be y

for taxes

30%of y

30/100×y=3y/10

=0.3y

freight charges =65

total =520

0.3y+65=520

0.3y=520-65

0.3y=455

y=455/0.3

y=$1516.7

y≈$1517

7 0
3 years ago
On a number line, point D is at -3, and point E is at 6. The point F lies on . The ratio of to is 2 : 3. Where does point F lie
Kamila [148]

Answer:

F is at 3

Step-by-step explanation:

D                                                                       F                                   E

|________________|_________________|_________________|

-3                                0                                    3                                   6

With a ratio of 2:3, there are 3 sections on this number line ( -3 to 0, 0 to 3, and 3 to 6). Where the second section is is where the ratio would fit, because section 2 of 3 is the ratio 2:3.

7 0
3 years ago
I need some help please
Monica [59]

Answer:

24

Step-by-step explanation:

The way you calculate the volume of a shape is length x width x height. 4 x 3 x 2 = 24.

3 0
2 years ago
Use integration by parts to find the integrals in Exercise.<br> ∫(x+6)ex dx.
skelet666 [1.2K]

Answer:

xe^x+5e^x

Step-by-step explanation:

We have given integral \int (x+6)e^xdx

\int (xe^x+6e^x)dx

\int (I_1+I_2)dx , here I_1=xe^x and I_2=6e^x

Now first integrate I_1

So I_1=\int xe^x

Integrating by part

I_1=x\int e^x-\int e^x\frac{d}{dx}x

I_1=x e^x- e^x

I_2=6\int e^x=6e^x

So I=I_1+I_2=xe^x-e^x+6e^x=xe^x+5e^x

5 0
3 years ago
Lance has 1/2 of a pack of pencils in his desk and 1/3 of a pack of pencils in his backpack. How many packs of pencils does he h
slega [8]

Answer:

5/6 because 1/2 plus 1/3 is 5/6, meaning that B is the correct answer.

Hope this helps!

5 0
2 years ago
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