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3 years ago

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A jar contains n nickels and d dimes. There are 30 coins in the jar, and the total value of the coins is $2.20. How many nickels

and how many dimes are in the jar?

1 answer:

Brums [2.3K]3 years ago

4 0

Answer:

16 Nickles and 14 Dimes

Step-by-step explanation:

What we know

n + d = 30
.05n + .1d = 2.2 (total change equals $2.20)

(.05n + 0.1d = 2.2) -10
-.5n - d = -22
.5n = 8
n = 16

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4. Write an equation for the line that is parallel to the given line and that passes

pentagon [3]

Answer:

$y=\frac{5}{2}x-14$

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)
Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

$y=\frac{5}{2}x-10$

In the given equation, $\frac{5}{2}$ is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of $\frac{5}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{5}{2}x+b$

<u>2) Determine the y-intercept (b)</u>

$y=\frac{5}{2}x+b$

Plug in the given point (-6,-29) and solve for b

$-29=\frac{5}{2}(-6)+b$

Simplify -6 and 2

$-29=\frac{5}{1}(-3)+b\\-29=(5)}(-3)+b\\-29=-15+b$

Add 15 to both sides to isolate b

$-29+15=-15+b+15\\-14=b$

Therefore, the y-intercept is -14. Plug this back into $y=\frac{5}{2}x+b$ :

$y=\frac{5}{2}x-14$

I hope this helps!

4 0

2 years ago

Need help!!!!ASAP

raketka [301]

I hope this helps you

3 0

3 years ago

Solve each equation by graphing the related function. If th equation has no real number solution, write no solution. X^2 + 7 = 0

Brrunno [24]

Answer:
The equation x² + 7 = 0 has no solution

Explanation:
1- using graph:
To solve the equation means graphically means to find the x-intercepts.
The attached image shows the graph of the given function.
We can note that there are no x-intercepts. This means that the given function has no real solutions

2- using algebra:
To solve the equation algebraically means to find the values of x that would make the equation equal to zero.
Solving the given equation, we would find that:
x² + 7 = 0
x² = -7
x = <span>± </span>√-7
The square root of a negative number will always give imaginary values. This means that the equation has no real solutions

Hope this helps :)

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3 years ago

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The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x)

Korolek [52]

(9x-2) - (5x+6) =

4x-8 , this is your profit function

8 0

3 years ago

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I will give BRAINLIEST for questions 3 and 4

lisov135 [29]

3. A 4. C
your welcome :)

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3 years ago