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LiRa [457]
2 years ago
7

The coin box of a vending machine contains $6.20 in dimes and quarters. There are 32 coins in all. How many of each kind are the

re?
Mathematics
1 answer:
Lady_Fox [76]2 years ago
7 0
Let d and q be the number of dimes and quarters respectively.

10 cents* d+ 25 cents* q = 620 cents ($6.20 = 620 cents)
⇒ 10d + 25q = 620 (1)

On the other hand, we have: d+ q= 32 (coins) (2)

From (1) and (2), we solve the set of equations.

The final answer is d= 12 coins and q= 20 coins.


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Is​ f(x) continuous at x equals 4​? Why or why​ not? A. ​No, f(x) is not continuous at x equals 4 because ModifyingBelow lim Wit
soldier1979 [14.2K]

<u>Corrected Question</u>

Is the function given by:

f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right ​

continuous at x=4​? Why or why​ not? Choose the correct answer below.

Answer:

(D) ​Yes, f(x) is continuous at x = 4 because Lim_{x \to 4}f(x)=f(4)

Step-by-step explanation:

Given the function:

f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right

A function to be continuous  at some value c in its domain if the following condition holds:

  • f(c) exists and is defined.
  • Lim_{x \to c}$ f(x) exists.
  • f(c)=Lim_{x \to c}$ f(x)

At x=4

  • f(4)=\dfrac{1}{4}*4+1=2
  • Lim_{x \to 4}f(x)=2

Therefore: Lim_{x \to 4}f(x)=f(4)=2

By the above, the function satisfies the condition for continuity.

The correct option is D.

3 0
3 years ago
A printer prints 75 pages in 5 minutes. At the same rate, how many pages does the printer print in 7 minutes? Solve and show you
Bingel [31]

Answer:

105

Step-by-step explanation:

first, the printer print 15  (75/5) pages per minutes,

next, 7×15=105

8 0
3 years ago
What is the slope of the line containing the midpoint of the segment with endpoints at $(2, 4)$ and $(0, -2)$ and the midpoint o
oksian1 [2.3K]

The Midpoint 1 = (1,1), Mid point 2 = (3,3 ) and slope is 1 of the given points of the line.

<h3>What is the slope of line?</h3>

The slope of a line segment is a measure of the steepness of the line segment. It is the ratio of rise (the change in vertical height between the endpoints) over run (the change in horizontal length between the endpoints.

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line.

Midpoints of 1 line segment are -

= (2+0 / 2 , 4-2 / 2)

= (1,1)

Mid points of line 2 =

= (5+1 / 2, 1+5 / 2)

= (3,3)

slope  -

The required slope = rise / run

= (y1-y2)/(x1-x2)

= (1-3)/(1-3)

= 1

Therefore, the Midpoint 1 = (1,1), Mid point 2 = (3,3 ) and slope is 1 of the given points of the line.

To learn more about slope and mind-points from the given link

brainly.com/question/5792883

#SPJ4

6 0
1 year ago
Subtract 5 from 1/3 of 23
WARRIOR [948]
The answer is 2.8. or around there

5 0
3 years ago
Read 2 more answers
Please help you will feel good and u will get good deeds
KIM [24]

Answer:

5 or 6

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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