The product of two rational numbers is 9⁄7 and one of them is 15⁄14. Then the other rational number is​

Answers

Answer 1

Answer:

The other rational number in the operation given is:

6/5

Step-by-step explanation:

To obtain the number in the operation given, we're gonna represent the operation:

r * 15/14 = 9/7

Where:

r = the other rational number.

Now we are going to solve r to identify its value in numbers:

r * 15/14 = 9/7[tex]r = \frac{\frac{9}{7} }{\frac{15}{14}}[/tex] (We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)[tex]r = \frac{6}{5}[/tex]

As you can see, when we operate, the result is 6/5, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:

r * 15/14 = 9/76/5 * 15/14 = 9/79/7 = 9/7

In this form, we know the result is correct.


Related Questions

Which is the Value if this expression when m = 3 and n = -5 ​

Answers

what’s the expression?

Write your answer in simplest form.
-2/3+7/9

Answers

Answer:

1/9

Step-by-step explanation:

You combine the fractions finding the least common denominator. Once you do that, you get your answer of 1/9.

I hope this information was of any use to you.

PLEASE HELP!! I’ve added an attachment. Please help me find the type of statement for this mathematical question. TYSM!!

Answers

Answer:

Step-by-step explanation:

             Statements                                  Reasons

1). AD ≅ BC                                           1). Given

2). ∠D ≅ ∠C                                          2). Given

3). ∠DEA ≅ ∠CEB                                 3). Vertically opposite angles

4). ΔADE ≅ Δ BCE                                4). AAS postulate of congruence

5). AE ≅ BE                                           5). CPCTC

Hence, proved.

Express x^2 + 4x - 7 in the form (x + a)^2 - b where a and b are intergers

Answers

Answer:

[tex]x^2+4x-7=(x+4)^2-23[/tex] where [tex]a=4[/tex] and [tex]b=-23[/tex]

Step-by-step explanation:

Given: [tex]x^2+4x-7[/tex]

Complete the square: [tex](x^2+4x+16)-23[/tex]

Reduce trinomial: [tex](x+4)^2-23[/tex]

Therefore, [tex]x^2+4x-7=(x+4)^2-23[/tex] where [tex]a=4[/tex] and [tex]b=-23[/tex].

Rachel draws a trend line through the following data
points. Did she draw the line correctly?

Answers

Answer:

i think its A but im not sure its correct

Step-by-step explanation:

what is the value of x in the equation 2.5(6x-4)=10+4(1.5+0.5x)?

a. 1/3
b. 1/2
c. 2
d. 13

Answers

Answer:

x = 2

Step-by-step explanation:

Given

2.5(6x - 4) = 10 + 4(1.5 + 0.5x) ← distribute parenthesis on both sides

15x - 10 = 10 + 6 + 2x , that is

15x - 10 = 16 + 2x ( subtract 2x from both sides )

13x - 10 = 16 ( add 10 to both sides )

13x = 26 ( divide both sides by 13 )

x = 2

Answer:

2

Step-by-step explanation:

15x-10=10+6+2x

15x-2x=10+10+6

13x=26

divide 13 both sides

x=2

The area of a triangle is 30 square centimeters and its base is 10 cm. What is the height in cm of the triangle

Answers

Answer:

The height of the triangle is [tex]6[/tex] cm.

Step-by-step explanation:

----------------------------------------

The formula for solving the area of a triangle is  [tex]A=\frac{1}{2}bh[/tex] where [tex]b[/tex] stands for base and [tex]h[/tex] stands for height.

Let's substitute 30 [tex]cm^2[/tex] for the area and 10 for the base.

[tex]30=\frac{1}{2} (10)h[/tex]

-------------------->>>>

Now, let's solve to find the height.

[tex]30=\frac{1}{2}(10)h[/tex]

Multiply [tex]\frac{1}{2}[/tex] times [tex]10[/tex]

[tex]30=5h[/tex]

Divide both sides by 5.

[tex]6=h[/tex]

-----------------------------------------

Hope this is helpful.

Answer:

6 cm

Step-by-step explanation:

thanks for the pts

✌️❤️✌️

Plz help me tyvm :/
10 points
(no links)
(no wrong or guessed answers)

Answers

Answer:

2y

Step-by-step explanation:

2x-3=2y

2x-2y=3

Answer:

x = 3, y = 1.5

Step-by-step explanation:

Given the 2 equations

x + 2y = 6 → (1)

2x - 3 = 2y → (2)

In (2) subtract 2y from both sides and add 3 to both sides

2x - 2y = 3 → (3)

Adding (1) and (3) term by term will eliminate the y- term

3x = 9 ( divide both sides by 3 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

3 + 2y = 6 ( subtract 3 from both sides )

2y = 3 ( divide both sides by 2 )

y = 1.5

find the subsets of ( S,Q,L,R)​

Answers

Answer:

{}, {s} {q} {l} {r} {s,q} {s, l} {s, r} {q, l} {q, r} {l, r} {s, q, l} {s,l,r} {s, q, r} {q, l, r} {s, q, l, r}

Consider the following simple regression model: y = 0 + 1 x 1 + u. In order to obtain consistent estimators of 0 and 1, when x and u are correlated, a new variable z is introduced into the model which satisfies the following two conditions: Cov( z, x) 0 and Cov ( z, u) = 0. The variable z is called a(n) _____ variable. 答案选项组 dummy instrumental lagged dependent random

Answers

Answer:

Instrumental variable

Step-by-step explanation:

cov(z,u)  shows that the instrumental variable is exogenous. An instrumental variable can also be regarded as a third variable, It is included in the model if you have an issue of endogeneity in your regression model. An endogeneity problem arises if there are other variables are being influenced by other independent variable in the same regression model. we use z to account for these behaviours in the model. this variable controls for measurement errors as well as confounding errors.  

A = (-123) + 77 + (-257) + 23 – 43

Answers

Answer:

[tex]A=-323[/tex]

Step-by-step explanation:

A = (-123)+77+(-257)+23-43

A = -46+(-257)+23-43

A = -303+23-43

A = -280-43

A = -323

Hope this helps

Help me please! Thank u

Answers

Answer:

D is correct answer to the question

which linear inequality is represented by the graph

Answers

Answer:

Step-by-step explanation:

Simplify (¼)^-2 + (1/6)^-3

Answers

The simplified answer would be 232

Answer:

232

Step-by-step explanation:

In picture

Brainliest please

Prove the theorem which states that the angle subtended by a cord is twice at the centre than at the circumference

Answers

9514 1404 393

Explanation:

Given:

The attached figure showing circle O, chord BC, central angle BOC and inscribed angle BACangle BAC = α + β

Prove:

angle BOC = 2×angle BAC

Proof:

∠BOA +∠BOC +∠AOC = 360° . . . . . sum of arcs of a circle is 360°

2α +∠BOA = 180°, 2β +∠AOC = 180° . . . . . sum of triangle angles is 180°

∠BOA = 180° -2α, ∠AOC = 180° -2β . . . . solve statement 2 for central angles

(180° -2α) +∠BOC +(180° -2β) = 360° . . . . . substitute into statement 1

∠BOC = 2(α +β) . . . . . add 2α+2β-360° to both sides

∠BOC = 2×∠BAC . . . . . substitute given for α+β; the desired conclusion

Anyone know the answer to this ??

Answers

Answer:

18 i think sorry if i am wrong

Step-by-step explanation:

In ΔNOP, the measure of ∠P=90°, NP = 35, ON = 37, and PO = 12. What ratio represents the sine of ∠N?

Answers

Answer:

12/37

Step-by-step explanation:

SOH - CAH - TOA

O = opposite

A = adjacent

H = hypotenuse

Sin = O/H

Sin N = 12/37

Answer:Find sin N

sinN=

hypotenuse/opposite

​12/37

Step-by-step explanation:

Which of the following statements is false? PLEASE HELP ASAP!

Answers

Answer:

C

Step-by-step explanation:

Question 2 Multiple Choice Worth 1 points)
(01.04 LC)
Choose the missing step in the given solution to the inequality -X – 10 > 14 + 2x.
-X - 10 > 14 + 2x
-3x - 10 > 14
X<-8

Answers

Answer:

see below

Step-by-step explanation:

-X – 10 > 14 + 2x.

Subtract 2x from each side

-x-2x -10 > 14+2x-2x

-3x -10 > 14

Add 10 to each side

-3x -10+10 > 14+10

-3x > 24

Divide each side by -3, remembering to flip the inequality

-3x/-3 < 24/-3

x < -8

find the product (9x+9)(x+2)

Answers

Answer:

9x^2 + 27x + 18

Step-by-step explanation:

(9x + 9)(x + 2)

=9x(x + 2) +9(x + 2)

=9x^2 + 18x + 9x + 18

=9x^2 + 27x + 18

Find f(4) if f(x) = 3x + 13

Answers

We are given the linear function below:

[tex] \large{f(x) = 3x + 13}[/tex]

To find f(4), simply substitute x = 4 in the equation.

[tex] \large{f(4) = 3(4) + 13} \\ \large{f(4) = 12 + 13} \\ \large \boxed{f(4) = 25}[/tex]

Answer

f(4) = 25

Please solve the following simultaneous equations.
3 + y - 2x = 0
3x2 + 2y2 – 4xy = 9​

Answers

Answer:

(3, 3) (1, -1)

Step-by-step explanation:

Answer:

(1, - 1) , (3, 3 )

Step-by-step explanation:

Given the 2 equations

3 + y - 2x = 0 → (1)

3x² + 2y² - 4xy = 9 → (2)

In (1) subtract 3 - 2x from both sides

y = 2x - 3 → (3)

Substitute y = 2x - 3 into (2)

3x² + 2(2x - 3)² - 4x(2x - 3) = 9 ← distribute and simplify left side

3x² + 2(4x² - 12x + 9) - 8x² + 12x = 9

3x² + 8x² - 24x + 18 - 8x² + 12x = 0

3x² - 12x + 18 = 9 ( subtract 9 from both sides )

3x² - 12x + 9 = 0 ( divide through by 3 )

x² - 4x + 3 = 0 ← in standard form

(x - 1)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 3 = 0 ⇒ x = 3

Substitute these values into (3) for corresponding values of y

x = 1 : y = 2(1) - 3 = 2 - 3 = - 1 ⇒ (1, - 1 )

x = 3 : y = 2(3) - 3 = 6 - 3 = 3 ⇒ (3, 3 )

Need help seriously

Answers

It’s not hard bro you gotta lean probability it’s really easy

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Vowels: A, E, I, O, U

There are only 2 vowels out of 8 on the spinner, which means that 6 out of 8 aren't vowels.

[tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]

Hope this is helpful

solve the equation (1÷49)^x + 2 =(7)^x - 3​

Answers

9514 1404 393

Answer:

  x = -1/3

Step-by-step explanation:

Maybe you mean ...

  (1/49)^(x +2) = 7^(x -3)

Taking logarithms base 7, we have ...

  -2(x +2) = x -3

  -2x -4 = x -3 . . . . . eliminate parentheses

  -1 = 3x . . . . . . . . . . add 3+2x

  x = -1/3 . . . . . . . . . divide by the coefficient of x

This is confirmed by a calculator in the first attachment.

_____

As written, the equation is ...

  ((1/49)^x) +2 = (7^x) -3

Multiplying both sides by 7^(2x) gives us ...

  1 + 2·7^(2x) = 7^(3x) -3·7^(2x)

Subtracting the left side gives us the cubic equation in 7^x:

  (7^x)^3 -5·(7^x)^2  -1 = 0

This has one irrational real root (found using a graphing calculator). The solution is ...

  x ≈ 0.83111881051

This answer is confirmed in the second attachment. (10^-16 is essentially zero for this purpose.)

__

Additional comment

Part of the reason for going to the trouble to solve the "as written" equation is to show you that it is possible, though messy. What we'd like to emphasize here is that grouping symbols are needed when exponents contain math operations.

In typeset text, the superscript font indicates the grouping of parts of an exponent. In plain text, we cannot tell if 7^x-3 means (7^x)-3 or 7^(x-3). The Order of Operations tells us to interpret it the first way: (7^x) -3, because exponentiation is done before addition. That leads to trouble in this problem.

PQ, QR, RS, and SP are tangent to ⨀ X. Find RS.

Answers

Answer:

Step-by-step explanation:

Order these equations by the value of x, starting with the smallest.
7x + 21 = 5x + 35
x + 5 = 3x - 1
5x + 5 = 6x - 5

TYYY​

Answers

1)second equation, x=3
2)first equation, x=7
4)third equation,x=10

Answer:

x + 5 = 3x -1

7x + 21 = 5x + 35

5x + 5 = 6x - 5

Step-by-step explanation:

7x+21=5x+35

-5x -5x

2x+21=35

-21 -21

2x=14

÷2 ÷2

x=7

x+5=3x-1

-x -x

5=2x-1

+1 +1

6=2x

÷2 ÷2

x=3

5x+5=6x-5

-5x -5x

5=x-5

+5 +5

x=10

Hope this helps! :)

Evaluate the expression. r = <5, 9, -4>, v = <3, 3, -8>, w = <9, -6, -1> v ⋅ w (5 points)
<-15, -27, -32>
0
17
<27, -18, 8>

Answers

Answer:

s

Step-by-step explanation:

Billy looks through holiday brochure in Spain, Greece,Italy and UK.
1/3 in Spain, 1/6 in Greece,1/8in Italy the remainder in uk

Answers

Answer:

Assuming you want to know there was for UK it was [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

Let's add the fractions together

[tex]\frac{1}{3} +\frac{1}{6}+\frac{1}{8\\}\\\frac{8}{24} +\frac{4}{24} +\frac{3}{24} =\frac{15}{24}[/tex]

The remainder is the amount in UK so

[tex]\frac{24}{24} -\frac{15}{24} =\frac{9}{24} \\[/tex]

Simplified it's [tex]\frac{3}{8}[/tex]

2) through:(-1,-1), slope = -4

Answers

? Hm maybe the slope would be -4 over 1

Use addition to solve the linear system of equations. Include all of your work in your final answer.x-y=4 x+2y=4

Answers

Answer:

x = 4 , y = 0

Step-by-step explanation:

x -    y = 4 --------- ( 1 )  

x + 2y = 4 -------- ( 2 )

( 1 ) x - 1 => - x + y = - 4  -------------( 3 )

( 2 )      =>    x + 2y = 4  ----------- ( 2 )

( 2 ) + ( 3 ) => 0 x  + 3y = 0

               => y = 0

Substitute y = 0 in ( 1 ) => x - y = 4

                                  => x - 0 = 4

                                        x = 4

         

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