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murzikaleks [220]
3 years ago
15

Debbie solved the linear equation 3(x+4)-2=16 as follows

Mathematics
1 answer:
jeyben [28]3 years ago
6 0

Answer:

Step-by-step explanation:

3x + 12 - 2 = 16

3x + 10 = 16

3x = 6

x = 2

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A collection of nickels and quarters is worth 2.85 . There are 3 more nickels than quarters how many nickels and quarters are th
Zolol [24]

A nickel is equal to 5 cents or 0.05 dollars.

A quarter is equal to 25 cents or 0.25 dollars.

Let number of nickels be = n

Let number of quarters be = q

0.05n+0.25q=2.85    ...........(1)

As it is given, there are 3 more nickels than quarters so equation becomes,

n=q+3   ................(2)

Plug in the value of 'n' from (2) in (1)

0.05(q+3)+0.25q=2.85

= 0.05q+0.15+0.25q=2.85

0.30q=2.70

q=9

As n=q+3 we get, n=9+3=12

Hence, there are 12 nickels and 9 quarters.

3 0
3 years ago
Whats an approximate equation of a line that passes through the points (-4.3,2.3) and (1.3,-7.4)
Wewaii [24]
Use the 2 points to find the gradient of the line
Gradient = (y - y1)/(x - x1), y and y1 are the two different y values.
(2.3 - - 7.4)/(-4.3 - 1.3) = -97/56 = -1.732
Note: y and x both come from the same coordinate, and y1 and x1 also come from the same coordinates - (x , y), (x1 , y1)

Use the following to find the equation (x, x1, y, and y1 are not the same as the first part)
y - y1 = m(x - x1)

Where x2 and y2 is an intersection (one of the coordinates you used) and m is the gradient you found.
So...
y - 2.3 = -1.732(x - - 4.3)
You can simplify this if you are required to.
4 0
3 years ago
the diagram shows a door that has a window in it the front faces the door and window are similar rectangles that have the dimens
Vaselesa [24]

Answer:

<u>The correct answer is B. 150 cm.</u>

Correct statement, question and diagram:

The diagram shows a door that has a window in it. The front faces of the door and window  are similar rectangles that have the dimensions shown. What is <em>h, </em>the height of the window in centimeters?

A. 66 cm

B. 150 cm

C. 186 cm

D. Not here.

Source:

Question that can be found at quizizz

Step-by-step explanation:

Let's recall that if the door and the window in it are similar rectangles, then we have:

60/84 = h/210

84 * h = 210 * 60

84h = 12,600

h = 12,600/

h = 150 cm

<u>The correct answer is B. 150 cm.</u>

3 0
3 years ago
Read 2 more answers
Gene starts from home and travels 3 miles north to the shopping mall. From the shopping mall, he travels 2 miles west to the lib
Alex73 [517]

Answer: The largest angle formed during his trip is at the mall between his home and the library.

Step-by-step explanation:

Hi, since the situation forms a right triangle (see image attached) the angle formed between his home and the library is 90°.

The sum of the interior angles of a right triangle is 180°, and the right angle (90°)is the largest angle formed.

So, the largest angle formed during his trip is at the mall between his home and the library.

Feel free to ask for more if needed or if you did not understand something.

7 0
3 years ago
Read 2 more answers
Set up and solve a quadratic equation to work out the value of x
galben [10]
X= 24 simple calculations are there
4 0
3 years ago
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