Find two numbers, if Their sum is 3/5 and their difference is 7 1/5

Answers

Answer 1

Set up a system of equations:

x + y = 0.6
x - y = 7.2

You can solve using elimination. Add the two equations together:

2x + 0y = 7.8
2x = 7.8
x = 3.9

Then plug the number back into either of the two original equations to solve for y:

3.9 + y = 0.6
y = -3.3

The two numbers are 3.9 and -3.3

Answer 2

Answer:

3.9 and -3.3

Step-by-step explanation:

Related Questions

A line has the following vector equation.
[x, y] = [2, -3] + t[5, 1]

a) State the coordinates of three other points on the line. Can you show your work please.
b) Write another vector equation of this line.

Answers

a) You can use 3 different numbers for t. How about 5, 10, 20?
.. [x, y] = [2, -3] +5[5, 1] = [27, 2]
.. [x, y] = [2, -3] +10[5, 1] = [52, 7]
.. [x, y] = [2, -3] +20[5, 1] = [102, 17]

b) You can replace t with any function of whatever parametric variable you want to use. For example, t = -3s+2.
.. [x, y] = [2, -3] +(-3s +2)[5, 1]
.. = [2 -15s +10, -3 -3s +2]

.. [x, y] = [12, -1] +s[-15, -3]

_____
The graph uses "t" instead of "s" for the parameter of the second version of the line. This is a Desmos thing: it likes "t" for parametric equations. The second equation is shown as dotted, so you can see it is the same line as the first equation (solid red).

Simlify the sum 4/m+9 + 5/m^2-81

Answers

Hello there!

9m - 76/(m + 9)(m - 9)

Hope this helps! :)

Answer:

    4m - 31
-------------------
(m+9)(m-9)

Explanation:

1) the given sum is:

4               5
------ + -------------
m+9     m^2 - 81

2) factor m^2 - 81

m^2 - 81 = (m + 9)(m - 9)

3) rewrite the sum

   4                  5
------- + ------------------
m+9       (m+9)(m-9)

4) least common denominator: (m + 9)(m - 9)

    4(m-9) + 5             4m - 36 + 5        4m - 31
--------------------- =   ------------------- = ----------------
   (m+9)(m-9)            (m+9)(m-9)       (m+9)(m-9)

The point of intersection of the diagonals of a rectangle is 4 cm further away from the smaller side than from the larger side of the rectangle. The perimeter of the rectangle is equal to 56 cm. Find the lengths of the sides of the rectangle.

Answers

we have that
If you draw a diagram, and draw perpendiculars from the intersection to the sides of the rectangle, you will see they are the mid point of each side.

see the attached figure

If the mid point of the smaller side is ---------> x.
The mid point of the larger side will be -----------> (x + 4)
The full length if the smaller side will be 2x and the length of the larger side will be 2(x + 4) = 2x + 8

The perimeter = 2 times the length + 2 times the width.
2(2x + 8) + 4x = 56
4x + 16 + 4x = 56
8x = 40
x = 5
Therefore
length = 2x + 8 = 18cm
width = 2x = 10cm

the answer is
the lengths of the sides of the rectangle are
length = 18cm
width = 10cm

Answer:

length is 18 and width is 10

How many flowers, spaced every 6 inches, are needed to surround a circular garden with a 50-foot radius?

Answers

first you should convert feet to inches
50ft = 600in
then have to find the circumference
[tex]2\pi600 = 3769.9 [/tex]
then you would divide that by 6
[tex]6 \div 3769= 628.16[/tex]
Or 628 flowers

A circular garden with a 50-foot radius needs 628 flowers spaced every 6 inches.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that, flowers are spaced every 6 inches, are needed to surround a circular garden with a 50-foot radius.

As we know that, their is 12 inches in 1 foot.

1 foot = 12 inches

50 foot = 50 × 12 inches

50 foot = 600 inches

Circumfereeence of circle is obtained as,

C= 2πr

C=2×3.14×600

C=3768

If the floweres are spaced flowers, spaced every 6 inches, the number of are needed to surround a circular garden with a 50-foot radius,

n = C / 6

n=3768 / 6

n=628

Thus, a circular garden with a 50-foot radius needs 628 flowers spaced every 6 inches.

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Jalla's hourly wage is $11.791. Round her salary to the nearest cent

Answers

Final answer:

Jalla's hourly wage, when rounded to the nearest cent, is $11.79.

Explanation:

To round Jalla's wage to the nearest cent, we must look at the numbers following the decimal. In this case, Jalla's hourly wage is $11.791. Decimal rounding rules tell us that if the number following the decimal is equal to 5 or more, round up; otherwise, round down. In this case, the number after the decimal is 9, more than 5, so we round the second decimal place up. Therefore, rounding to the nearest cent, Jalla earns $11.79 per hour, her rounded wage.

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1.A natural law of growth is of the form y= [tex]5e^{0.2x}[/tex]. Draw a graph for this law for values of x from x = -3 to x = 3. From the graph:

A)Find the gradient of the curve at x = -2 and x = 1 by differentiation and by drawing a tangent to the curve.
B)Compare your two solution for these gradients

Answers

A) The derivative of the function is
.. y' = e^(0.2x)
so the gradients are
.. at x=-2, e^-0.4 ≈ 0.67
.. at x=1, e^0.2 ≈ 1.22
It is difficult to get a good estimate of the gradient by drawing a tangent line. (If you want to try, the second picture is the same graph with the tangent lines turned off. You can print it out and draw your tangent line--or use your favorite picture markup program.)

B) They will likely be within "experimental error", accurate to within a couple of degrees of rotation. (Higher slopes are more difficult to approximate accurately.)

Brayden is simplifying the expression 4n – (n – 3)2. He begins by distributing the negative to the terms inside the parentheses. What should he have done instead? combine like terms square the binomial cube the binomial rewrite the expression as a fraction

Answers

The correct step is to square the binomial (n - 3)² before combining like n terms.

Brayden is working on simplifying the expression 4n – (n - 3)². The correct initial step is not to distribute the negative inside the parentheses, but rather to square the binomial. This involves applying the binomial square formula [tex](a - b)^2 = a^2 - 2ab + b^2[/tex], to the expression inside the parentheses. Therefore, simplification should start with (n - 3)² resulting in [tex]n^2 - 6n + 9[/tex]. After this, Brayden should combine like n terms by adding or subtracting them to simplify the expression further.

Find the value of each expression. Show your work.

18.) ₉P₃

Answers

We have to find the value of 9P3 which means the Permutations of 9 objects taken 3 at a time.

The formula of permutations is:

[tex]nPr = \frac{n!}{(n-r)!} [/tex]

In the given case n=9 and r=3. Using these values, we get:

[tex]9P3= \frac{9!}{(9-3)!} \\ \\ = \frac{9!}{6!} \\ \\ = \frac{9*8*7*6!}{6!} \\ \\ =9*8*7 \\ \\ =504 [/tex]

Thus 9P3 is equal to 504.

9! is expanded above using the following factorial formula:

n! = n(n-1)(n-2)(n-3)....3.2.1

Answer:

The value of the expression is 504.

Step-by-step explanation:

We are given the expression [tex]9P3[/tex].

Now, [tex]9P3[/tex] represents the permutations of 9 objects which are taken 3 at a time.

Also, its value is given by,

[tex]9P3=\dfrac{9!}{(9-3)!}\\\\9P3=\dfrac{9!}{6!}[/tex],

where ! represents the factorial given by,

[tex]n!=n(n-1)(n-2)...3.2.1[/tex]

Thus, evaluating the expression, we get,

[tex]9P3=\dfrac{9!}{6!}\\\\9P3=\dfrac{9\times 8\times 7\times 6!}{6!}\\\\9P3=9\times 8\times 7\\\\9P3=504[/tex]

Thus, the value of the expression is 504.

Which expression can be used to find the quotient of 15 and ?

Answers

the correct question is
Which expression can be used to find the quotient of 15 and y?

to find the quotient of 15 and y let's divide the value of 15 between the value of y
(15/y)

the answer is
the expression is (15/y)

One side of a regular hexagon is 4 cm. What is the length of one other side?

a. 4 cm
b. 5 cm
c. 6 cm
d. can't be determined.

Answers

all sides of a regular hexagon are equal.

the answer is a, 4 cm

Answer:

Your Answer is 4 CM

Step-by-step explanation:

Gaff has used 331/3 of his monthly minutes on his cell phone plan. If he already used 200 mintues, how many does he have left this month?

Answers

The first step to solve this problem is to compute for the total minutes allowable in his cell phone plan. To compute for this, you have to divide the number of minutes consumed by the fraction of the time consumed.

200 minutes / 33 1/3% = 600 minutes

To compute for the remaining minutes left for this month, you have to deduct the consumed minutes to the total allowable minutes in his plan.

600 minutes – 200 minutes = 400 minutes left

Mario was given some birthday money. He puts the money in an account. Every month after that, he deposits the same amount of money.The equation that models this situation is y = 75x + 50, where y is the amount of money in the account and x is the number of deposits.What does the y-intercept mean in this situation? A. He puts $75 in the account each month. B. He puts $50 in the account each month. C. He was given $75 for his birthday. D. He was given $50 for his birthday.

Answers

The y intercept in the equation y=75x+50 shows that he was given $50 for his birthday which is option D.

What is equation?

Equation is like a relationship between two variables in equal to form which is simplified in order to get the value of both variables.

How to evaluate an equation?

The given equation is y=75x+50 where y is the amount of money in the account and x is the number of deposits. Put the value of x=0 and we get y=50 means when deposit is 0 means no deposits then the amount of money in account is equal to 50 which concludes that Mario was given 50 on his birthday.

Hence y intercept in the equation y=75x+50 shows that he was given $50 for his birthday.

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Write the first four terms in the multiplication pattern given by the formula 10*5n

(The n is exponent)

Answers

Thay are:-
10*5^1, 10*5^2 , 10*5^3, 10*5^4

= 50, 250, 1250 and 6250 answer

Quick help!! If you not sure of the answer PLEASE DON'T COMMENT

Answers

XYZ = 68/2 = 34

Answer is B

divide 56 in the ratio 5 3

Answers

I don't understand what you need.

But,

5 + 3 = 8

56/8 = 7

7*5 = 35
7*3 = 21

Hope this helps !

Photon

Hey there :)

The given value is 56

We need to divide in the ratio 5 : 3

We can do it this way:

5x + 3x = 56

8x = 56

[tex] \frac{8x}{8} = \frac{56}{8} [/tex]
8 and 8 cancels out

x = 7

5(7) : 3(7)
35 : 21

You roll a single die numbered from 1 to 6. What is the probability of rolling a number greater than 3 and then a number less than 3?

Answers

I think the answer is 1/3

if you put down 15% on a $9000 car and pay monthly payments of $189.40 for 48 months , what is the total price of the car?

Answers

The total amount payable for the car if you put a down 15% on a $9000 car and payment of $189.40 for 48 months will be:
Amount=(15/100×9000)+(189.40×48)
=1350+9091.2
=10,441.2
The total amount of money paid for the car after a period of time will be $10,441.2

Maya's penny bank is 3/10
full. After she adds 520
pennies, it is
4/5 full. How many pennies can Maya's bank hold?

Answers

Final answer:

Maya's bank can hold 1733 pennies.

Explanation:

To find out how many pennies Maya's bank can hold, we can set up an equation using the given information. Let's start with the fact that Maya's bank is 3/10 full before adding 520 pennies. This means that 3/10 of the bank's capacity is equal to 520 pennies. We can use this information to find the total capacity of the bank.

Since 3/10 of the bank's capacity is equal to 520 pennies, we can set up the equation (3/10)x = 520, where x represents the total capacity of the bank in pennies.

To solve for x, we can multiply both sides of the equation by 10/3 to cancel out the fraction. This gives us x = (10/3) * 520 = 1733.33. Since we cannot have a fraction of a penny, we round down to the nearest whole number. Therefore, Maya's bank can hold 1733 pennies.

There are 84 students in the glee club there are 12 more boys than girls what is the ratio of the number of girls to the number of boys

Answers

Let us denote the number of boys in the glee club with X and the number of girls with Y.There are 84 students in the glee club, which means that the following equation can be written:X+Y=84We also now that there are 12 more boys than girls, so:X=Y+12We can rewrite the first equation like:(Y+12)+Y=842Y+12=842Y=62Y=62/2=31X=31+12=43So, the ratio of the number of girls to the number of boys is: Y/X=31/43
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Which transformation gives the same result as a reflection over the y-axis followed by a reflection over the x-axis?

a.A rotation of 180° around the origin
b.A rotation of 270° around the origin
c.A translation to the left and then down
d.A rotation of 90° around the origin

Answers

The correct answer is A

Answer:

a. A rotation of 180° around the origin.

Step-by-step explanation:

A rotation of 180° around the origin would give us the same result as a reflection over the y-axis followed by a reflection over the x-axis. When we perform this rotation, we take each of its points through the transformation (x,y) ---> (-x, -y). This means that we would multiply the coordinates of each of the points on the shape by a negative. This is equivalent to reflecting a shape over the x-axis and the y-axis.

please help please ..

Answers

14,400 = P*0.08*30 . . . . . fill in the given numbers

Divide by the coefficient of P to find the value of P.
14,400/2.4 = P = 6000

the length of a rectanglr exceeds its width by 5 inches, and the area is 84 square inches. what are the length and width of a a rectangle

Answers

The area is the product of length and width, which is to say that the length and width are factors of the area.

Assuming the dimensions are integers, you want factors of 84 that differ by 5.

... 84 = 1×84 = 2×42 = 3×28 = 4×21 = 6×14 = 7×12

The last of these pairs differ by 5, so ...

the length is 12 inchesthe width is 7 inches.

Answer:

The answer is l=12, w=7

Step-by-step explanation:

Brian is playing a video game. He earns the same number of points for each star he picks up. He earns 2400 points for 6 stars, 4000 points for 10 stars, and 5,200 points for 13 stars. What is the independent and dependent value?

Answers

The dependent variable is the amount of points, it depends on the amount of stars collected. The independent variable is the points each star is worth, it is worth the same no matter how many are collected. Each star is worth 400 points btw.

What is the value of x in simplest radical form?

Answers

In this case, we will use our Pythagorean Theorem.

a = 84
b = 13
c = x

[tex]\sqrt{84^2 + 13^2} = 85[/tex]

Thus, x = 85.

[tex] {x}^{2} = {13}^{2} + {84}^{2} \\ {x}^{2} = 169 + 7056 = 7225 \\ x = \sqrt{7225} = 85[/tex]

The equation of the circle whose center is at (3, 7) and whose radius is 6 is a. (x + 3)² + (y + 7)² = 6 b. (x + 3)² + (y + 7)² = 36 c. (x - 3)² + (y - 7)² = 36

Answers

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{3}{ h},\stackrel{7}{ k})\qquad \qquad radius=\stackrel{6}{ r} \\\\\\ (x-3)^2+(y-7)^2=6^2\implies (x-3)^2+(y-7)^2=36[/tex]

Write an absolute value equation that has the solutions x=23

Answers

|x -23| = 0 has solution x=23.

A spinner has three sections. The table shows the results of spinning the arrow on the spinner 80 times.

What is the experimental probability of the arrow stopping over Section 1?
Section 1 Section 2 Section 3
28 36 16

Answers

Answer: [tex]\frac{7}{20}[/tex]

Step-by-step explanation:

From the given table, The number of times arrow comes results in section 1= 28

The total number of times spinner spins =80

Now, the experimental probability of the arrow stopping over Section 1 is given by:-

[tex]\text{P(Section 1)}=\frac{28}{80}=\frac{7}{20}[/tex]

Hence, the experimental probability of the arrow stopping over Section 1 is [tex]\frac{7}{20}[/tex]

plz help with this ill give you brainlist

Answers

The sum of the angles are 126 so

54 + 3x = 126
3x = 72
x = 24

3x +54 = 126
3x = 72 . . . . . . . . subtract 54
x = 24 . . . . . . . . . divide by 3

The value of x is 24.

if the graph of a quadratic function intersects with the x axis two times, how many solutions are there to the equation when set equal to zero

Answers

Hello there!

This is a conceptual question about quadratic functions.

Remember that a solution of ANY function is where it intersects the x-axis, so if the quadratic function intersects the x-axis TWO times, this means that there are TWO real solutions.

Here's a list of things to remember that will help you out for quadratic functions...
•if a quadratic function intersects the x-axis twice, it has two real solutions.
•if a quadratic function intersects the x-axis once, it has one real solution and one imaginary solution.
•if a quadratic function intersects the x-axis zero times, it has zero deal solutions and two imaginary solutions.

Please NOTE: If you want to know how many solutions a polynomial function has, look at it's highest exponent. If it is 2, then it has 2 solutions whether they be real or imaginary. If it is 3, then it has 3 solutions.

Also, if one of the factors are the same for a polynomial function, the way it hits the x-axis changes! This is just some extra information to help you in the long run!

I hope this helps!
Best wishes :)

Final answer:

A quadratic function intersecting the x-axis two times means there are two distinct real solutions to the equation when it is set to zero.

Explanation:

When a quadratic function intersects the x-axis two times, it indicates that the corresponding quadratic equation has two distinct real solutions.

This is because the points where the graph intersects the x-axis are the zeros of the function, which are the solutions to the equation when set equal to zero.

To find the solutions to a quadratic equation of the form ax² + bx + c = 0, one can use the quadratic formula, which is:

[tex]x = (-b \pm (b^2 - 4ac)) / (2a)[/tex]

If the discriminant (b² - 4ac) is greater than zero, this indicates two distinct real solutions.

Write a function named righttriangle() that accepts the lengths of two sides of a right triangle as the arguments a and
b.

Answers

2 to 6 is one because angles can have different types

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