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anygoal [31]
3 years ago
8

16 is divided by the sum of a number q and 1. The result is 4. What is the number?

Mathematics
1 answer:
GaryK [48]3 years ago
6 0
16/(q+1)=4
16/(q+1)=4 > Mult. both sides by (q+1)
16=4q+4 > Subtract 4 from both sides.
12=4q > Div. both sides by 4
q=3

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Is the orthocenter of a triangle on the inside ?
likoan [24]

Answer:

It turns out that all three altitudes always intersect at the same point - the so-called orthocenter of the triangle. The orthocenter is not always inside the triangle. If the triangle is obtuse, it will be outside. To make this happen the altitude lines have to be extended so they cross.

7 0
2 years ago
Read 2 more answers
If the scale factor is 5/3 what is the width of the new rectangle?
vlada-n [284]

Answer:

If 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

Step-by-step explanation:

We multiply both sides by the scale factor to find both sides of the new rectangle. 30 * 5/3 = 50 and 24 * 5/3 = 40, so the sides of the new rectangle are 50 and 40. It matters whether 24 or 30 are the length or width, but if 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

7 0
2 years ago
PLEASE HELP!<br><br> Reduce to simplest form.<br> 5/8 - (- 7/2)
Daniel [21]

Answer:

\huge\boxed{\sf 4\frac{1}{8} }

Step-by-step explanation:

\sf =\frac{5}{8} - (-\frac{7}{2} )\\\\Rule : ( - *- = +)\\\\\=\frac{5}{8} +\frac{7}{2} \\\\LCM = 8\\\\\=\frac{5+28}{8} \\\\\=\frac{33}{8} \\\\=4\frac{1}{8}

\sf =\frac{5}{8}+ \frac{7}{2}  \\\\=\frac{5+28}{8}

\sf =\frac{33}{8} \\\\=4\frac{1}{8}

Hope this helped!

<h2>~AnonymousHelper1807</h2>
7 0
3 years ago
PLEASE HELP ME!!!!! I HAVE TRIED THIS QUESTION 5X ALREADY AND I STILL CANNOT GET THE RIGHT ANSWER!!! I KNOW THE ANSWER BUT I HAV
kirill [66]

Answer:

x = 3 and y = 2

or

(3,2)

Step-by-step explanation:

first equation (LCM = 3 x 4 x 5 = 60)

(x+2)/5 - (9-x)/3 = (y - 6)/4

12(x+2) - 20(9-x) = 15(y - 6)

12x + 24 - 180 + 20x = 15y - 90

32x - 15y = -90 - 24 + 180

32x - 15y = 66

second equation:

8(x + 2) - (2x + y) = 2(x + 13)

8x + 16 - 2x - y = 2x + 26

6x - y + 16 = 2x + 26

4x - y = 10

Now you have 2 equations:

4x - y = 10  ---> y = 4x - 10

32x - 15y = 66

Substitute   y = 4x - 10 into 32x - 15y = 66

32x - 15(4x - 10) = 66

32x - 60x + 150 = 66

-28x = -84

    x = 3

    y = 4(3) - 10

    y = 12 - 10

    y = 2

Solutions: x = 3 and y = 2

6 0
2 years ago
The figure shows a parallelogram inside a rectangle outline: A parallelogram is shown within a rectangle. The length of the rect
Dominik [7]

Answer=5/16 or 0.3125 feet

Step-by-step explanation:

7 0
3 years ago
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