find two numbers if their sum is 3/5 and their difference is 7 1/5

Answers

Answer 1

Answer:

A = 3 + 9/10

B = -(3 + 3/10)

Step-by-step explanation:

We have two numbers, A and B, such that:

A + B = 3/5

A - B = 7 + 1/5

To solve this, we first need to isolate one of the variables in one of the equations, I will isolate A in the first equation:

A = 3/5 - B

Now we can replace this in the other equation:

A - B = 7 + 1/5

(3/5 - B) - B = 7 + 1/5

3/5 - 2*B = 7 + 1/5

-2*B = 7 + 1/5 - 3/5

-2*B = 7 - 2/5 = 35/5 - 2/5 = 33/5

B = -(33/5)/2 = -33/10 = - 30/10 - 3/10 = -3 - 3/10 = -(3 + 3/10)

Now that we know the value of B, we can use the equation

A = 3/5 - B

To find the value of A:

A = 3/5 - ( -(3 + 3/10))

A = 3/5 + (3 + 3/10)  = 6/10 + 3 + 3/10 = 3 + 9/10

The numbers are:

A = 3 + 9/10

B = -(3 + 3/10)


Related Questions

Slope of the line that passes through (8,-9) and (14,-9)

Answers

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (14, - 9)

m = [tex]\frac{-9+9}{14-8}[/tex] = [tex]\frac{0}{6}[/tex] = 0

Fill in the blank to complete this trig
ratio.
y
tan a =
a
Х
[?]
B
N
B
С
у
Z

Answers

Answer:

z/y

Step-by-step explanation:

Help! it's easy but I need help

Answers

Answer:

no lol

Step-by-step explanation:

Answer:

i will tell you what to do and then you do the work

Step-by-step explanation:

arrange the numbers from lowest to largest

count the amount of numbers to find how many students wrote each test

to find the mean add all of the numbers up then divide by the amount of numbers there are

to find the mode it that is the number that appears the most or the most common value

to find the median is the middle number, when you put it from lowest to largest, it will be the middle number

hope this helps

A 2-quart carton of sour cream costs $4.32. What is the price per cup?

Answers

Answer:

0.54 cents

Step-by-step explanation:

4 cups per quart = 8 cups per 2 quarts

4.32/8 = .54

What am a supposed to add

Answers

•ω• Hewo fren!

☆☆●◉✿ Answer:✿◉●☆☆

Whatever you want! Like 1+1 also. But adding random things is good for practice. Are you asking what to add for a practice you have? Well then add 362791+489920 or anything else.

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

You can add whatever you want to add ^^

HAVE A GUD DAY!  ∧∧

→⇒brainliest please? ∑(OΔO )♥♥︎

hello please help i’ll give brainliest

Answers

Answer:

Volcanic Eruptions, Earthquakes, Erosion

I am very sorry if this is wrong

Have a great rest of your day and good luck!

Answer:

the answer is a, b, and d

Step-by-step explanation:

erosion is caused by wearing down overtime

a car is going 40 miles per hour for 3 hours how far did the car go?
can anyone explain to me

Answers

Answer:

120miles

Step-by-step explanation:

I am not sure exactly I just guessed that since it's 40 miles an hour, it would be 40 x 3 ~ but am not sure... hope it works out!

btw am rlly bad at this :'')

- sry if am wrong

                           

An angle measures 79.6° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

y = 259.6/2 = 129.8 degrees. so x = 129.8 - 79.6 = 50.2 degrees.

Step-by-step explanation:

I got this answer from somewhere else. but it is correct. i hope this helped.

7676767676767676767676767

Answers

Answer:

uhhh is this a trick question lol

have a good day :D

Step-by-step explanation:

Can someone give me the answer with work to this problem?

Answers

Answer:

x=10

Step-by-step explanation:

4x-18=3x-8

4x-3x=-8+18

x=10

what is ( 40 + 40 ) + 6-1 ? it's an iready problem

Answers

The answer is 85 am flyin

Select the correct answer. What is the approximate distance between points D and E? Round your answer to the nearest hundredth. A.

Answers

Answer:

The approximate distance between points D and E is 8.25

Step-by-step explanation:

The figure is as follows :

To find - What is the approximate distance between points D and E ?

Solution -

By Pythagoras Theorem, we get

(DE)² = (FE)² + (DF)²

        = (8)² + (2)²

        = 64 + 4

        = 68

⇒(DE)² = 68

⇒DE = √68

⇒DE = 8.246

∴ we get

The approximate distance between points D and E is 8.25

use the matrix tool to solve the system of equations enter the answer as an ordered pair. 8x+5y=9 -x+y=7

Answers

Answer:

x = -44/13

y = -65/13

Step-by-step explanation:

Using matrix form means using the crammers rule

The matrix form of the expression is written as;

[tex]\left[\begin{array}{ccc}8&5\\-1&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}9\\7\\\end{array}\right][/tex]

AX = B

taking the determinant of A;

|A| = 8(1) - 5(-1)

|A| = 8 + 5

|A| = 13

After replacing the first row with the column matrix;

[tex]A_x =\left[\begin{array}{ccc}9&5\\7&-1\\\end{array}\right][/tex]

|Ax| = 9(-1)-5(7)

||Ax| = -9 - 35

|Ax| = -44

x = |Ax|/|A|

x = -44/13

similarly for y

[tex]A_x =\left[\begin{array}{ccc}8&9\\-1&7\\\end{array}\right][/tex]

|Ay| = 8(7)+9

|Ay| = 56+9

|Ay| = 65

y = |Ay|/|A|

y = -65/13

if you roll a dice one time what is the probability for it to land on a number greater than 2​

Answers

Answer:

4/6

Step-by-step explanation:

The answer is 4/6
This is because there is 6 sides to a dice and the side with 1 and 2 are the only sides with numbers less than 2. So only 4 sides out of the 6 can be greater giving the answer 4/6!

Kyle spends $44 for four sweatshirts.

Answers

Answer:

I think the answer is B. sorry if its wrong..

Step-by-step explanation:

Answer:

Bar C and the equation 4y = 44

Hope this helps!

Plz help will mark brainliest

Answers

∆ABC=∆DEF

AB=DE –>String

BC=EF–> Rib

m<C=m<F=90° –>List

AC=DF

So m<A=m<D=35 (It is not clear whether the number is 35 or 36, but the same number)

find the area of the triangle

Please help
need the correct answer
Urgent
Please do not answer from links
will give the brainliest!​

Answers

Answer:

[tex] \rm \displaystyle A_{ \text{triangle}} = \frac{147 \sqrt{7} }{2 } \quad \text{or} \quad 73.5 \sqrt{7} [/tex]

Step-by-step explanation:

we have a right angle triangle composited in a semi-circle we want to figure out the area of the triangle

in order to do so we need to figure out the adjacent side (height AB)

since the given triangle is a right angle triangle we can consider Pythagoras theorem given by

[tex] \displaystyle {a}^{2} + {b}^{2} = {c}^{2} [/tex]

given that,a=21 and c=28

substitute:

[tex] \displaystyle {21}^{2} + {b}^{2} = {28}^{2} [/tex]

move left hand side expression to right hand side and change its sign:

[tex] \displaystyle {b}^{2} = {28}^{2} - {21}^{2} [/tex]

square root both sides:

[tex] \displaystyle {b}^{} = \sqrt{{28}^{2} - {21}^{2} }[/tex]

use algebraic indentity:

[tex] \rm \displaystyle {b}^{} = \sqrt{({28}^{} + 21) (28 - {21}^{})}[/tex]

simplify:

[tex] \rm \displaystyle {b}^{} = \sqrt{({49}) ( 7)}[/tex]

use redical property:

[tex] \rm \displaystyle {b}^{} = 7 \sqrt{ 7}[/tex]

now to figure out the area we can consider the following formula:

[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} bh[/tex]

remember that,h=AB=7√7 and b=BC=21 thus substitute:

[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} \times 21 \times 7 \sqrt{7} [/tex]

simplify multiplication:

[tex] \rm \displaystyle A_{ \text{triangle}} = \frac{147 \sqrt{7} }{2 } \quad \text{or} \quad 73.5 \sqrt{7} [/tex]

hence,

the area of the triangle is 194 (approximately)

note: you can also use horon's formula but I like to keep things simple

Please find attached photograph for your answer.

HI PLS HELP ASAP ILL GIVE BRAINLIEST

Answers

Answer:

Monsoon.

Step-by-step explanation:

Answer:

upper level

Step-by-step explanation:

I think it is because it it sounds like it match

What are all the zeros of the function f(x) = 4x^2 + 8x + 3?

Answers

Answer: -1/2 and -3/2

Step-by-step explanation:

X1= -3/2 x2= - 1/2

I think I’m not sure

if A={1,2,3,4} and B={3,4,5,6} are two sets,find (A-B).​

Answers

Step-by-step explanation:

[tex](A-B) = ( - 2, \: - 2, \: - 2, \: - 2)[/tex]

Forty-five percent of what number is 15.75?​

Answers

45 percent (calculated percentage %) of what number equals 15.75? Answer: 35.

Answer:

35

Step-by-step explanation:

15.75 / 0.45 = 35

what is the number 154 798 105 in expanded notation​

Answers


Expanded form:

1 × 100,000,000
+ 5 × 10,000,000
+ 4 × 1,000,000
+ 7 × 100,000
+ 9 × 10,000
+ 8 × 1,000
+ 1 × 100
+ 0 × 10
+ 5 × 1

I hope it helps :)

what is the median !!! help!! alegbra 2. marking brainliest

Answers

Answer:

The answer is 8.5

Step-by-step explanation:

Just list all the numbers and cross them out one by one.

Add up all of the numbers and divide by the number of numbers in the data set. The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median.

Answer the following above

Answers

Answer:

true false true

Step-by-step explanation:

I will give brainliest to the first person to answer the question! Please be correct and please help <33

Answers

Answer:

112.25

Step-by-step explanation:

Answer:110.25

Step-by-step explanation:

how many lines of semmetry does a rectangle have

Answers

Answer:

A rectangle has 2 lines of symmetry

Give the domain.

y =2 / (5x - 4)(4x - 9)

Answers

Answer:

x ≠ 4/5, x ≠ 9/4

You can also write it as "all real numbers except 4/5 and 9/4."

Step-by-step explanation:

The denominator of a fraction cannot equal 0. We can write this relation to find what x does NOT equal:

(5x - 4)(4x - 9) ≠ 0

We can use the zero-product property to get two separate equations:

5x - 4 ≠ 0

5x ≠ 4

x ≠ 4/5

4x - 9 ≠ 0

4x ≠ 9

x ≠ 9/4

The answer above me is correct

i will give brainiest if correct please hurry!!
You flip a coin 50 times and get 26 tails. What is the experimental probability of flipping heads? Write your answer as a simplified fraction or a percentage.

Answers

Answer:

12/25

Step-by-step explanation:

If you got 26 tails, that means you got 50 - 26 or 24 heads. The experimental  probability can be represented by the desirable flips over the total number of flips. We are looking for heads, so the amount of heads is the amount of desirable flips, and the total is 50. From this, we get the fraction 24/50 which simplifies to 12/25.

Dustin has a spinner that is divided into 5 equal-size sections colored pink, blue, orange, white, and green. What is the probability that Dustin spins pink on the 1st spin and then spins a color other than pink on the 2nd spin?

Answers

Answer:

1/6

Step-by-step explanation:

1st spin:

1 out of the 5 sections are pink, so the probability of spinning a pink on the 1st spin is 1/5.

2nd spin:

5 out of the 6 sections are not pink, so the probability of spinning a pink on the 2nd is 5/6.

Multiply the probabilities of the two spins to get the answer.

[tex]\frac{1}{5} *\frac{5}{6} =\frac{5}{30} =\frac{1}{6}[/tex]

can someone help me on this question please

Answers

Answer:

y = -2x + 5 [ 1st option ]

Step-by-step explanation:

Consider any two points , say

(1,3) (2,1)

Firstly let's find the slope of the line as ,

=> m = y₁ - y₂ / x₁ - x₂

=> m = 3-1 / 1-2

=> m = 2/-1

=> m = -2

Third point is, (3 , -1) . Using slope point form .

=> y - y₁ = m ( x - x₁ )

=> y - (-1) = -2( x - 3)

=> y + 1 = -2x +6

=> y +2x +1-6=0

=> y +2x -5 = 0

=> y = -2x + 5

On looking at options first one is correct

Hence the equation of line is y = -2x + 5.
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