a student sells small and large greeting cards decorated at a craft fair. The small cards coast 3 dollars per card, and the large cards coast 5 dollars per card. The student collects 95 for selling a total of 25 cards. what are the variables what is the system how do you graph it how many of each card did the student sell please and thank you

Answers

Answer 1

Answer: $x-the\ small\ cards\ny-the\ large\ cards\n\n \left\{\begin{array}{ccc}3x+5y=95\nx+y=25\end{array}\right\n\left\{\begin{array}{ccc}5y=-3x+95&/:5\ny=-x+25\end{array}\right\n\left\{\begin{array}{ccc}y=-(3)/(5)x+19\ny=-x+25\end{array}\right\n\n----------------------$

$y=-(3)/(5)x+19\n\nfor\ x=0\to y=-(3)/(5)\cdot0+19=19\to A(0;\ 19)\nfor\ x=10\to y=-(3)/(5)\cdot10+19=-6+19=13\to B(10;\ 13)\n----------------------------\n\ny=-x+25\n\nfor\ x=0\to y=-0+25=25\to C(0;\ 25)\nfor\ x=10\to y=-10+25=15\to D(10;\ 15)\n----------------------------\n\na\ graph\ on\ the\ picture\n\nAnswer:x=15\ and\ y=10.$

Answer 2

Answer:

15 small and 10 big cards to the days if you want to.

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A manufacturing process is designed to produce bolts with a 0.75-inch diameter. Once each day, a random sample of 36 bolts is selected and the bolt diameters recorded. If the resulting sample mean is less than 0.730 inches or greater than 0.770 inches, the process is shut down for adjustment. The standard deviation for diameter is 0.04 inches. What is the probability that the manufacturing line will be shut down unnecessarily? (Hint: Find the probability of observing an x in the shutdown range when the true process mean really is 0.75 inches. Round your answer to four decimal places.)
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The nth term of a sequence is 10n – 8 .Find the 20th term and 50th term.

Rational numbers are _____ natural numbers. always sometimes never

Answers

They are sometimes natural numbers. For example, numbers like 2 and 3 can also be written as 2/1 and 3/1.

1/2 and 2/3 are rational numbers but they aren't natural numbers since they are not positive whole numbers.

So, not every rational number will be a natural number.

Answer:

sometimes

Step-by-step explanation:

Find the value of x when 6 - 3x = 5x - 10x + 10.

Answers

6 - 3x = 5x - 10x + 10

you’re answer would be :

x = 2

Answer:

x= 2

Step-by-step explanation:

X^2 - 6x = -9 Solve using the quadratic formula. Approximate answers to the nearest tenth.

Answers

$x^2 - 6x = -9\n\nx^2 - 6x +9=0\n \na=1, \ \ b=-6, \ \ c=9 \n\n \Delta =b^2-4ac = (-6)^2 -4\cdot1\cdot 9 = 36 -36 =0 \n \nx_(o)=(-b )/(2a)=( 6)/(2 )=3$

$(a-b)^2=a^2-2ab+b^2$ <--this is formula
$x^2-6x+9=0$
$x^2-(2*1*3)x+3^2=0$ a=1,b=3
$(x-3)^2$

What times 16 equals 48

Answers

Number 3 times 16 is equals to 48.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The number 16 times is equal 48.

Let a number = x

Hence, We can formulate;

⇒ 16 × x = 48

Divide by 16;

⇒ x = 48 / 16

⇒ x = 3

Thus, 3 times 16 is equals to 48.

Learn more about the divide visit:

brainly.com/question/28119824

#SPJ5

The answer will be 3.

In order to get this answer you have to divide 48 by 16 to get 3 as your answer.

Hopes it Helps :]

Find the distance between (3,4) and (4,-6).

Answers

Answer:

The answer is

$√(101)$

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^(2) + ({y1 - y2})^(2) } \n$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3,4) and (4,-6)

The distance between them is

$d = \sqrt{ ({3 - 4})^(2) + ({4 + 6})^(2) } \n = \sqrt{ ({ - 1})^(2) + {10}^(2) } \n = √(1 + 100 ) \: \: \: \: \: \: \: \: \: \n = √(101) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

We have the final answer as

$√(101)$

Hope this helps you

If R and S are two points in the plane, the perpendicular bisector of is the set of all points equidistant from R and S.A. True
B. False

Answers

The Meaning of term , perpendicular bisector, is that it divides the line segment into two congruent parts.

and Secondly if you will take any point on the perpendicular bisector ,it will be equidistant from both the points for which you have drawn perpendicular bisector.

So, if R and S are two points in the plane, the perpendicular bisector of is the set of all points equidistant from R and S.

So, the given statement is True Statement.

Answer:

True

Step-by-step explanation:

I took the A-P-E-X Quiz

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Can someone please help I really need help