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2 years ago

Angi has 32 nickels and dimes. Their total value is $1.90. How many of each coin does she have?

Mathematics

1 answer:

Radda [10]2 years ago

5 0

Answer:

6 dimes, 26 nickels

Step-by-step explanation:

The number of nickels is N, and the number of dimes is D.

N + D = 32

5N + 10D = 190

N + 2D = 38

D = 6

N = 26

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Write an equation of the line that passes through (18,2) and is parallel to the line 3y-x=-12 .

uysha [10]

Answer:

$y = \frac{1}{3}x-4$

Step-by-step explanation:

Step 1: Solve for y in the first equation

$3y - x = -12$

$3y - x + x = -12 + x$

$\frac{3y}{3} = \frac{x}{3} - \frac{12}{3}$

$y = \frac{1}{3}x - 4$

Step 2: Determine the important aspects

We know that our line is parallel to the other line that has a slope of 1/3 which means that our slope is also going to be 1/3. We also know that our line crosses the point (18, 2) which means that we can use the point slope form to determine our equation

Point Slope Form → $(y-y_1) = m(x - x_1)$

Step 3: Plug in the information and solve

$(y-2) = \frac{1}{3}(x - 18)$

$y - 2 = \frac{1}{3}x - 6$

$y - 2 + 2 = \frac{1}{3}x - 6 + 2$

$y = \frac{1}{3}x-4$

Answer: $y = \frac{1}{3}x-4$

7 0

1 year ago

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timama [110]

Answer:

19938383

Step-by-step explanation:

5 0

2 years ago

If a runner runs 8 miles in 92 minutes what is the runners unit rate?

omeli [17]

Hi,

92/8= 11.5

Unit rate: 11.5

Wish you the best!

5 0

2 years ago

Find the slope of the line that contain the following points A(5,6),B(10,8)

ANTONII [103]

Find the gradient
y2-y1/x2-x1
= 8-6/10-5
=2/5

4 0

3 years ago

-1/2 + 2/3= Give simplified answer

babunello [35]

You need a common denominator of 6 because it's the least common denominator of 2 and 3. So you can change -1/2 to -3/6. And change 2/3 to 4/6. The new equation would be -3/6 + 4/6 = 1/6.

6 0

3 years ago