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

Four spheres of radius 6 cm just fit inside a cylinder.

Calculate the volume inside the cylinder that is empty.

Leave your answer in terms of pi.

Answers

Answer:

1152\pi\

Step-by-step explanation:

Connor's balcony is 5 feet wide and 9 feet long. Connor paid $3.00 per square foot to have the balcony stained. How much did he pay?

Answers

Answer:

135

Step-by-step explanation:

9*5=45*3=135

ethan invests £500 in the bank for 2 years he earned £40 simple interest

Answers

Answer:

Rate = 4%

Step-by-step explanation:

principal = £500

time = 2 years

simple interest = £40

rate = ?

simple interest = PTR / 100

£40 = £500*2*R /100

£40*100 = £1000*R

£4000/£1000 = R

4 % = R

I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again!

Answers

Answer:

1. 160 min

2. 84 min

3. 5:12 p.m.

4. 6:40 p.m.

5 a 4:44 p.m.

b 7:14 p.m.


Which is NOT an example of continuous data?
A)
time it takes to cut the grass
B)
Lifetime (in hours) of a flashlight battery
C)
weights of dogs in animal shelter
D)
number of cheeseburgers sold yesterday at a drive-thru

Answers

Answer:

Solution

Height is not an example of a continuous variable.

D) The number of cheeseburgers sold yesterday at a drive-thru is not an example of continuous data.

Here, we have,

Continuous data refers to numerical data that can take on any value within a certain range or interval. It typically involves measurements or quantities that can be expressed as real numbers.

A) The time it takes to cut the grass can be measured in minutes or seconds, and it can take on any value within a range. This is an example of continuous data.

B) The lifetime (in hours) of a flashlight battery is a continuous variable. It can take on any value within a range, such as 5.3 hours, 10.7 hours, or any decimal or fractional value.

C) The weights of dogs in an animal shelter can be measured in pounds or kilograms and can take on any value within a range. This is also an example of continuous data.

D) The number of cheeseburgers sold yesterday at a drive-thru is a discrete variable. It represents a count or a whole number, such as 50 cheeseburgers, 100 cheeseburgers, etc. Discrete data involves distinct values and is not continuous.

Therefore, option D is not an example of continuous data.

learn more on data;

https://brainly.com/question/17037791

#SPJ4

What is the formula or equation for this problem I don’t understand

Answers

Answer:

B

Step-by-step explanation:

From the property of parallelogram the opposite angels are equal so < DAB = < DCB so < DAB will become 16x.

9x + 5 + 16x(<DAB) = 180 ....... because it is straight line.

25x + 5 = 180

25x = 180 - 5

25x = 175

x = 7 (it's 7 because u divide 175 by 25)

now let's substitute in the angle < DCB( 16x):-16 × 7= 112

To get < ABC lets use the property of parallelogram which says tha adjacent angles are supplementary. which means <ABC + <DCB = 180

<ABC + 112 = 180

< ABC = 180 - 112

< ABC = 68

answer credits: melatleul

Larry works at the Gap Clothing Store. He works 15 hours week. If his manager cuts all employee hours by 20%, how many hours a week will Larry work now.

Answers

Answer:

12 hours

Step-by-step explanation:

Find 20% of 15 hours

15 * 20%

15 * .2

3

Subtract this because his hours are cut

15-3

12

Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
Ir = 4cm
2.5 cm
3 cm
3 cm
[?]%
Round to the nearest tenth of a percent.

Answers

Answer:

38.8%

Step-by-step explanation:

Area of the triange:

6*6.5*.5= 19.5

Area of the circle:

π*16= 16π

19.5/16π= .387940174

38.8%

Answer:

38.8%

Step-by-step explanation:

Jessica filled the birdbath in her yard with 4 liters of water. How many milliliters of water did she put in the birdbath?

Answers

Answer:

4,000 milliliters

Step-by-step explanation:

There are 1,000 millililters in one liter. 4*1,000=4,000.

Answer:

4,000 mL

Step-by-step explanation:

there are 1,000 mL in one liter so there are 4,000 mL in four liters

Need help on this!!! 10 points!!!

Answers

Number 2: B
Hope this helps :))

Find the y-component of this
vector:
12.0 m
73.3°
Remember, angles are measured from
the +X axis.
y-component (m)

Answers

Answer:

The y-component is 11.49 m.

Step-by-step explanation:

Given that,

Vector = 12 m

Angle, θ = 73.3°

We need to find the y-component of this  vector.

It can be calculated as follows :

[tex]v_y=v\sin\theta\\\\v_y=12\times \sin(73.3)\\\\=11.49\ m[/tex]

So, the y-component is 11.49 m.

Fill in the blanks using < or >. (a) -3 ...... -4 (b) 6 ....... -20 (c) -8 ...... -2 (d) 5 ...... -7

Answers

Fill in the blanks using < or >.

[tex]\sf \bf {\boxed {\mathbb {ANSWER:}}}[/tex]

(a) -3 [tex]\boxed{ > }[/tex] -4

(b) 6 [tex]\boxed{ >}[/tex] -20

(c) -8 [tex]\boxed{ < }[/tex] -2

(d) 5 [tex]\boxed{ > }[/tex] -7

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}[/tex]

3x^2 + 14x
how do you factories this​

Answers

Answer:

x(3x+14)

Step-by-step explanation:

what do those terms share? they share the letter "x"

therefore we multiply x by 3x^2/x + 14x/x

3x^2/x = 3x and 14x/x = 14

jessica's piggy bank has 100 coins, including pennies, nickels, dimes and quarters/ together they are worth $8.36. there are nine more dimes than pennies and five times as many nickels as pennies. How many of each kind of coin does jessica have in her piggy bank?

Answers

Answer:

the bank contains 30 nickels and 70 dimes.

Step-by-step explanation:

Anyone know this answer?

Answers

Answer:

56 degrees

Step-by-step explanation:

The tangent of any angle in a right triangle is equal to its opposite side divided by its adjacent side.

Therefore, we have the equation:

[tex]\tan x^{\circ}=\frac{15}{10}[/tex]

To isolate [tex]x[/tex], take the inverse tangent of both sides:

[tex]\tan^{-1}(\tan (x^{\circ}))=\tan^{-1}(\frac{15}{10}),\\x^{\circ}=\arctan(\frac{15}{10})=56.30993247\approx \boxed{56^{\circ}}[/tex]

*Recall [tex]\tan^{-1}(\tan x)=x, x\in (-\frac{\pi}{2}, \frac{\pi}{2})[/tex]

b to the power of -3
write that as a positive exponent
explain

Answers

Answer:

1/b^3

Step-by-step explanation:

b^-3 is like writing:

1

---

b^3 since negative exponents are made into fractions

Martina read that the average graduate student is 33 years old. She wanted to estimate the mean age of graduate students at her large university, so she took a random sample of 30 graduate students. What is Martina's margin of error?

Answers

Answer: Martina's margin of error is 1.5.

Step-by-step explanation:

Given: Average graduate student (upper limit) = 33

Random sample graduate student (lower limit) = 30

Formula to calculate margin of error is as follows.

Margin of error = [tex]\frac{upper limit - lower limit}{2}[/tex]

Substitute the values into above formula as follows.

[tex]Margin of error = \frac{upper limit - lower limit}{2}\\= \frac{33 - 30}{2}\\= \frac{3}{2}\\= 1.5[/tex]

Thus, we can conclude that Martina's margin of error is 1.5.

rotation,
glide reflection,
reflection,
translation.

Answers

Answer:

it appears to have TRANSLATED

PLEASE HELP ME I NEED AN ANSWER ASAP!! <3

(photo included)

Answers

Answer: B.

tan 45=perpendicular/base

1=8/AB

So, AB=8

Since it's a right-angled triangle, BC is a hypotenuse.

BC=√(AC^2+AB^2)

     =r√(8^2+*^2)

     =8 √2

can you help me do this Q I can't seem to get it :)

Answers

9514 1404 393

Answer:

x = 3∠IEH = 61°∠IHE = 35°

Step-by-step explanation:

There are a couple of useful facts about parallelograms that can be used here.

1) The diagonals bisect each other.

2) Opposite sides are parallel, so each diagonal can be considered a "transversal" with respect to parallel lines. That means all of the angle relationships involving parallel lines apply.

__

The two marked sections of diagonal GIE are congruent, so you have ...

  3x +1 = 10

  3x = 9 . . . . subtract 1

  x = 3 . . . . . divide by 3

__

Angles IEH and IGF are "alternate interior" angles, so are congruent.

  angle IEH = 61°

__

Angles IHE and IFG are "alternate interior" angles, so are congruent.

  angle IHE = 35°


A triangle has vertices (-1, 2), (3, 1), and (7.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth

Answers

Answer

16.25

Step-by-step explanation: To The Nearest Hundredth

(-1, 2), (3, 1)

√17

(3, 1), (7, 2)

√17

(3, 1), (7, 2)

√8

So our answer is =

8 + √17 + √17 = 16.25

hope it works for you!

i have no clue what i’m doing

Answers

Answer:

c(x) =  16x + 22736

R(x) = -2x^2 + 524x  

[ -2x^2 + 508x  - 22736] = 0

Factored: f(x) = -2(x - 196)(x - 58)

58 to break even

Step-by-step explanation:

Your cost is the amount it cost you to "make" stuff.

You have fixed and variable costs (cost of oven is fixed cost of flower and sugar is variable to make cupcakes)

your cost is c(x) =  16x + 22736

"your oven and building cost $22736 per month and you use $16 worth of sugar butter flour to make one cupcake ( it  must be a huge one) ...

your revenue is the amount of money that "comes into your business"...

the amount of money in the cash register.... Note: this is only money IN you still have to pay for the building, sugar flour etc.

R(x) = -2x^2 + 524x  

Note: the minus and the square basically say that the more you charge the less cupcakes you will sell...

Profit is the money in minus the money out

P - R - E   [ -2x^2 + 524x  ] - [16x + 22736]

the break even point is where the two functions are the same

in other words where C=R or R-C=0

[ -2x^2 + 524x  ] = [16x + 22736]

[ -2x^2 + 508x  - 22736] = 0

Factored: f(x) = -2(x - 196)(x - 58)

Answer:

Step-by-step explanation:

C(x)=16x+22736

R(x)=-2x²+524x

P(x)=R(x)-C(x)

=-2x²+524x-16x-22736

=-2x²+508-22736

when profit is zero then no gain or loss.

so -2x²+508x-22736=0

or x²-254x+11368=0

196+58=254

196×58=11368

x²-54x-196x+11368=0

x(x-54)-196(x-54)=0

(x-54)(x-196)=0

x=54,196

so x=54 is the smallest number of bins to break even.

A 68-year old retiree has a pension savings of $51,000, a 401k of $58,000, and an IRA account of $68,000. Before 2008, he had 2% more cash in the pension, 12% more in the IRA, and −1% in the 401k. He wants to take out 2% from each account before he turns 72, which will cost him a penalty of an extra 1% from the pension, 2% from the 401k, and 6% from the IRA. What is the relevant information for the amount that the retiree will have in his pension if he doesn't take money out now?

A: The retiree had 2% more cash in the pension in 2008
B: The retiree has a pension savings of $51,000
C: The retiree has a 401k of $58,000
D: The retiree has an IRA account of $68,000

Answers

Answer:

B: The retiree has a pension savings of $51,000

Step-by-step explanation:

Which function has the same range as
f(x)=-2 Sqrt X-3 +8?

g(x)= VX-3-8
g(x) = VX-3+8
g(x)=- Vx+3+8
g(x)=√x-3-8


Answers

Answer:

C

Step-by-step explanation:

The option that has the same range than f(x) is:

[tex]g(x) = -\sqrt{x + 3} + 8[/tex]

What is the range of the given function?

Here we first have the function:

[tex]f(x) = -2*\sqrt{x - 3} + 8[/tex]

Remember that the square root only can be evaluated arguments equal or larger than zero.

So the minimum value of x that we can use is x = 3.

[tex]f(3) = -2*\sqrt{3 - 3} + 8 = 8[/tex]

And as x increases, the outcome will decrease (because the square root is being mulitiplyed by a negative number). So we can conclude that the range is y ≤ 8.

Which other function has the same range?

So, we need another function that has a maximum value in the range equal to positive 8, so we need to have a constant equal to 8, and a square root being multiplyed by a negative number.

The option that meets these two conditions is the third one:

[tex]g(x) = -\sqrt{x + 3} + 8[/tex]

If you want to learn more about domains and ranges, you can read:

https://brainly.com/question/10197594

please answer this!!!!

Jacob wanted to know what the most popular sneaker brand was of his classmates. His class had 30 students. To save time, he asked 10 boys the brand of sneakers that they were wearing. Of the students surveyed; Nike was the most popular sneaker brand.

Explain 2 ways Jacob's survey could have been more representative of his class's favorite sneaker brand.​

Answers

Answer:

He could have asked the girls as well, and could have asked the entire class instead of just 10 students.

Step-by-step explanation:

By only asking 10 boys, he is not getting a complete representation of the whole class, as their are 30 students in the class.

Subtract the second equation from the first. 4x+3y = 17 (4x + y 9)

A. -8x = 26
B. 4y= 8
C. 8x = 26
D. 2y = 8​

Answers

Answer:

D

Step-by-step explanation:

4x+3y -4x -y = 17 -9

<=> 2y =8

Solve the following system of equations.
\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}
−5x+4y
x


=3
=2y−15

x=?
y=?

Answers

Step-by-step explanation:

The first president of the United States was

[tex]\begin{aligned} -5x+4y &= 3\\\\ x&=2y-15 \end{aligned}[/tex]

Answer:

x=9

y=12

Step-by-step explanation:

select all explanation that prove triangle ABC is congruent to triangle A'B'C

Answers

Answer:

AB = A'B'

BC = B'C'

AC = A'C'

angle ABC = angle A'B'C'

angle CAB = angle C'A'B'

angle CBA = angle C'A'B'

Step-by-step explanation:

use different axomes to show relation,

Answer: Reflect ABC across the vertical line passing through C

Step-by-step explanation:

Triangles ABC and JKL are similar. Find the missing sides.

Answers

Answer:

option A

Step-by-step explanation:

the bigger triangle is two times the size of the small one

Complete the table fraction | decimal

Answers

Answer:

1/5=0.2

0.3=3/10

1/2=0.5

7/10=0.7

3/4=0.75

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