The sum of two numbers is 30
and their quotient is 2

What are the two numbers?

Answers

Answer 1

Answer:

The numbers are 20 and 10.

Step-by-step explanation:

Let's say these teo numbers are x and y.

The sum of two numbers is 30

x + y = 30
Isolate y
y = 30 - x

Their quotient is 2
plug the newfound y value in the second equation.

x / y = 2

[tex]\frac{x}{30-x} = 2[/tex]

multiply both sides by (30 - x) to get rid of the fraction.

x = 2(30 - x)

x = 60 - 2x

x + 2x = 60 + 2x

3x = 60

dividie both sides by 3

x = 20

find y

y = 30 - x

y = 30 - 20 = 10
y = 10

The numbers are 20 and 10.

Answer 2

Answer:

10 and 20.

Step-by-step explanation:

x + y = 30

x/y = 2

x = 2y so substituting in the first equation:

2y + y = 30

y = 10

and  x + y =30

so x + 10 = 30  giving x = 20.


Related Questions

Hey guys I’m a little stuck ?

Answers

Tbh Ita hard to under
26-64 is the age group because 26 is the youngest person there and 64 is the oldest.

Write a statement that correctly describes the relationship between these two sequences: 2, 4, 6, 8, 10 and 1, 2, 3, 4, 5.​

Answers

Answer:

The equation a + d(n-1)

Step-by-step explanation:

Where a is the first number in the sequence, d is the common difference and n is the position of a certain number in the series, e.g

1, 2, 3, 4, 5: a = 1, d = 1 (because 2-1=1, 3-2=1, 4-3=1, etc) and n = 1,2,3...

2, 4, 6, 8, 10: a = 2, d = 2 (because 4-2=2, 6-4=2, etc) and n = 1,2,3,4,5...

So for the second sequence, we could try to get the value of n in n = 6 as follows:

a + d(n-1) where a = 2, n = 6 and d = 2

Thus, 2 + 2(6-1) = 2 + 2(5) = 2 + 10 = 12

So the sixth number in the series would be 12

si el anteayer del pasado mañana de mañana del ayer del mañana de hace 2 dias es el pasado mañana del mañana del mañana del anteayer del mañana del lunes ¿que dia es el mañana del pasado mañana de ayer de ayer?

Answers

Si el día es jueves, entonces el mañana del pasado mañana de ayer de ayer es martes.

Definición del día mediante equivalencia aritmética

Sea el día actual (lunes) el día 0, el día anterior tiene equivalencia de -1 y el día posterior tiene equivalencia de +1. A continuación, traducimos matemáticamente la expresión:

Si el anteayer (-2) del pasado mañana (+2) de mañana (+1) del ayer(-1) el mañana (+1) de hace 2 días (-2) es el pasado mañana (+2) del mañana (+1) del mañana (+1) del anteayer (-2) del mañana (+1) del lunes (0). ¿qué día es el mañana (+1) del pasado mañana (+2) de ayer (-1) de ayer (-1)?

Simplificación

Si (-1) es (+3). ¿Qué día es (+1)?

Si el día es jueves, entonces el mañana del pasado mañana de ayer de ayer es martes.

Para saber más de acertijos matemáticos, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/24613771

The sum of two consecutive integers is – 175. Find the two integers.

Answers

Answer:

-88 and -87

Step-by-step explanation:

Since the two unknown integers are consecutive, one will be one more than the other. This means we can express them as x and x+1, so we only have one unknown in our equation. Since they add to -175, we can now write our equation:

x+(x+1) = -175

Take away brackets and combine like terms:

2x+1 = -175

Now we just need to isolate x which we can do by subtracting 1 from both sides and then dividing both sides by 2:

2x+1-1=-175-1

2x = -176

2x/2 = -176/2

x = -88

And our other number is -88+1 = -87

So our two numbers are -88 and -87 which are consecutive and add to 176:

-88+(-87) = -175

Hope this helped!

The ratio of black pencils to total colored pencils in Lauren's backpack is 1:9. How many orange pencils does Lauren have in her backpack?

Answers

Answer: Maybe Can Help..

2:18

3:27

4:36

5:45

6: 54

7:63

8:72

Step-by-step explanation:

Please help me ASAP
( Will mark brainliest )

Answers

Answer:

I think A, but if not I am soooooo sorry

What is the greatest possible integer solution of the inequality 3.829x < 28.195?

Answers

Answer:

7

Step-by-step explanation:

BD is a perpendicular bisector of AC. The length of BA is 6d + 3, and the length of BC is 10d - 25. What are the lengths of BA and
BC? (1 point)
The length of BA is 30. The length of BC is 50.
The lengths of BA and BC are both 7.
The lengths of BA and BC are both 45.
The length of BA is 40. The length of BC is 50.

Answers

The lengths of BA and BC are both 45.

Step-by-step explanation:

Remember For two perpendicular lines, all four angles formed by the two lines are equal to 90° Perpendicular lines are said to be conguent o 45+45=90 thus your answer!

Ok, so Jay has a goal of saving money to buy a handheld game console. Jay has reached 10% of his goal and saved $12. complete the bar

Answers

Answer:

if he reaches 20% he will make 22

Does this image show an enlargement or a reduction?
17
Enter your answer in the first Blank
A
What scale factor was usada

Answers

Answer:

the image shows reduction

Step-by-step explanation:

the scale chosen is 1.7

Reduction

Scale factor
= image / object
= 1.7 / 3.4
= 0.5

Which Judicial branch make the laws

Answers

Answer:The legislative branch

Step-by-step explanation:

What is the circumference, in centimeters, of the circle? Use 3.14 for π. Enter your answer in the box.

Answers

Answer:

The parameters are not complete

Step-by-step explanation:

Please check the question, radius was not given, and we can't just determine the circumference without our radius.

THANKS.

A number has the digits 6, 8, and 2. To the nearest hundred, the number rounds to 900.
What is the number?

Answers

Answer:

862

Step-by-step explanation:

1.9x-0.8y=10 what is x

Answers

Answer:  x = 0.421053y+5.263158

Step-by-step explanation:

x = 0.421053y+5.263158

Answer:

x=0.042105y+10/19

Step-by-step explanation:

Let's solve for x.

19x−0.8y=10

Step 1: Add 0.8y to both sides.

19x−0.8y+0.8y=10+0.8y

19x=0.8y+10

Step 2: Divide both sides by 19.

19x/19=0.8y+10/19

x=0.042105y+10/19

A scientist measures the velocity of a major ever at various depths. After collecting and analyzing the data, the scientist determines that the equation y = -0.1140 + 1.658, where I represents the
depth in feet and y represents the velocity of the river, in feet per second can be used to model the data. The linear model has a correlation coeficient or 0.964
Part
Explain what the slope and intercept of the equation mean in terms of the context
Part 8
Explain what the correlation concient indicates about the relationship between the two varables

Answers

Answer:

Hi to be in the morning and evening and I'm so happy to have you ever been a while back and watch it again this week is over and see the light of day of the 2

In a race, a bicyclist travels 3 miles in 1/4 hour. Determine the unit rate for the speed
in miles per hour.
3/4 miles per hour
16 miles per hour
11/4 miles per hour
12 miles per hour

Answers

Step-by-step explanation:

the standard measure for speed is

miles per hour.

now we got as measurement

3 miles per 1/4 hour.

to give the standard speed or "unit rate" we assume that the bicyclist maintains the same speed for a whole hour.

and the question is : how many miles is he traveling then in that 1 hour ?

to answer this we have to check how often the actually measured unit of time fits into 1 hour.

1/4 hour fits 4 times into 1 hour.

and that factor applies now also to the miles to keep the value of the rate or ratio unchanged :

miles/time × a/a = miles×a/(time×a)

so that (time×a) = 1 hour

and so, he traveled 3×4 = 12 miles per hour.

Bella works at a popular clothing store. Last winter, her manager asked her to track the store's sweater sales. This box plot shows the results. Price of sweaters sold ($) 30 40 50 60 70 80 What fraction of the sweaters cost $50 or less?

Answers

Answer:

1/2

Step-by-step explanation:

I got it wrong then it gave me the right answer of 1/2

The fraction of the sweaters that cost $50 or less is 50% is 1/2.

What is a median?

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

From the box plot,

Median = $50

Now,

Median = $50

This means,

50% of the clothes are above $50 and 50% of the clothes are below $50.

Now,

The fraction of the sweaters that cost $50 or less is 50%.

So,

= 50/100

= 5/10

= 1/2

Thus,

The fraction of the sweaters that cost $50 or less is 50% is 1/2.

Learn more about median here:

https://brainly.com/question/28060453

#SPJ3

plz answer fast

Which of the following expressions demonstrates the distributive property?

3 + 4 + 5 = 4 + 3 + 5

-2(5 + 7) = -2(7 + 5)

3(-8 + 1) = 3(-8) + 3(1)

6[(7)(-2)] = [(6)(7)](-2)

Answers

Answer:

3(-8+1) = 3(-8)+3(1)

Step-by-step explanation:

you multiply the value(s) in front of the parentheses to the values in them.

Answer:

3(-8+1) = 3(-8)+3(1)

Step-by-step explanation:

HOPETHISHOPES!!

..............,.,.,.,.,.,..,.​

Answers

Answer:

B) 18

Step-by-step explanation:

Perimeter = 2 + 2 + 1 + 2 + 1 + 2 + 1 + 4 + 1 + 2

= 4 + 3 + 3 + 5 + 3

= 7 + 8 + 3

= 10 + 8

= 18

The correct option is (B) 18

Answer:

18, option B

Step-by-step explanation:

Draw a hashmark like I have done in my drawing for each side exposed to the white.

Then count up all those hashmarks and voila, you have your answer!

which ratio is different from the other three A.8/20 B.12/30 C.6/10 D.14/35

Answers

The answer is c. 6/10 because it is equivalent to 3/5 when you simplify. Everything else is 2/5.

A. Differentiate the following functions using product rule and quotient rule.
B. Differentiate the following using Chain Rule.

Answers

The following results by product rule and quotient rule are listed below:

[tex]f'(x) = 3\cdot x^{2}-15\cdot x - 9[/tex][tex]f'(x) = \frac{15}{2} \cdot x^{4}-6\cdot x^{3}+\frac{45}{2}\cdot x^{2}-\frac{81}{2} \cdot x +13[/tex][tex]f'(x) = \frac{90\cdot x^{2}-45\cdot x^{2}-40\cdot x +72}{25\cdot x^{4}-80\cdot x^{2}+64}[/tex][tex]f'(x) = \frac{\left(9\cdot x^{2}-18\cdot x-6\right)\cdot \left(\frac{x^{2}}{2}+7\cdot x-8 \right)-\left(3\cdot x^{3}-9\cdot x^{2}-6\cdot x +1 \right)\cdot \left(\frac{2}{3}\cdot x+7 \right)}{\left(\frac{x^{2}}{2}+7\cdot x-8 \right)^{2}}[/tex]

The following results by chain rule are listed below:

[tex]f'(x) = 3\cdot (2\cdot x^{2}-2\cdot x +1)^{2}\cdot (4\cdot x-2)[/tex][tex]f'(x) = \frac{15\cdot x^{2}-16\cdot x+9}{2\cdot \sqrt{5\cdot x^{3}-8\cdot x^{2}+9\cdot x-6}}[/tex][tex]f'(x) = \frac{2\cdot \left(6\cdot x-\frac{2}{3}-4\cdot x^{-5} \right)}{3\cdot \sqrt[3]{3\cdot x^{2}-\frac{2}{3}\cdot x +x^{-4} } }[/tex]

How to apply product rule and quotient rule to obtain the derivative of function

In this part we must apply the following rules to calculate the derivatives:

Product rule

[tex]\frac{d}{dx}[f(x)\cdot g(x)] = f'(x) \cdot g(x) + f(x) \cdot g'(x)[/tex]   (1)

Quotient rule

[tex]\frac{d}{dx}\left[\frac{f(x)}{g(x)} \right] = \frac{f'(x)\cdot g(x)-f(x)\cdot g'(x)}{[g(x)]^{2}}[/tex]   (2)

Now we proceed to obtain each expression:

1) [tex]f'(x) = 3\cdot x\cdot (x-6)+3\cdot x-9[/tex]

[tex]f'(x) = 3\cdot x^{2}-15\cdot x - 9[/tex] [tex]\blacksquare[/tex]

2) [tex]f'(x) = \left(\frac{9}{4}\cdot x^{2}-4\cdot x+\frac{1}{4}\right)\cdot (2\cdot x^{2}-2\cdot x + 4) + \left(\frac{3}{4}\cdot x^{3}-2\cdot x^{2}+\frac{x}{4}-6\right)\cdot (4\cdot x-2)[/tex]

[tex]f'(x) = \frac{9}{2}\cdot x^{4}-8\cdot x^{3}+\frac{1}{2}\cdot x^{2}-\frac{9}{2}\cdot x^{3}+8\cdot x^{2}-\frac{x}{2}+9\cdot x^{2}-16\cdot x+1 +3\cdot x^{4}-8\cdot x^{3}+x^{2}-24\cdot x-\frac{3}{2}\cdot x^{3}+4\cdot x^{2}-\frac{x}{2} +12[/tex]

[tex]f'(x) = \left(\frac{9}{2}+3 \right)\cdot x^{4}+\left(-8-\frac{9}{2}+8-\frac{3}{2} \right)\cdot x^{3} + \left(\frac{1}{2}+8+9+1+4 \right)\cdot x^{2} + \left(-16-24-\frac{1}{2} \right)\cdot x + \left(1+12\right)[/tex]

[tex]f'(x) = \frac{15}{2} \cdot x^{4}-6\cdot x^{3}+\frac{45}{2}\cdot x^{2}-\frac{81}{2} \cdot x +13[/tex]   [tex]\blacksquare[/tex]

3) [tex]f'(x) = \frac{-9\cdot (5\cdot x^{2}-8)-(-9\cdot x+4)\cdot (10\cdot x)}{(5\cdot x^{2}-8)^{2}}[/tex]

[tex]f'(x) = \frac{-45\cdot x^{2}+72+90\cdot x^{2}-40\cdot x}{25\cdot x^{4}-80\cdot x^{2}+64}[/tex]

[tex]f'(x) = \frac{90\cdot x^{2}-45\cdot x^{2}-40\cdot x +72}{25\cdot x^{4}-80\cdot x^{2}+64}[/tex]   [tex]\blacksquare[/tex]

4) [tex]f'(x) = \frac{\left(9\cdot x^{2}-18\cdot x-6\right)\cdot \left(\frac{x^{2}}{2}+7\cdot x-8 \right)-\left(3\cdot x^{3}-9\cdot x^{2}-6\cdot x +1 \right)\cdot \left(\frac{2}{3}\cdot x+7 \right)}{\left(\frac{x^{2}}{2}+7\cdot x-8 \right)^{2}}[/tex]   [tex]\blacksquare[/tex]

How to apply chain rule to find derivatives

Let be a function of the form [tex]f[u(x)][/tex], the derivative of this function is defined by the following rule:

[tex]\frac{d}{dx}[f[u(x)]] = \frac{df}{du}\cdot \frac{du}{dx}[/tex]

Now we proceed to present the following results:

1) [tex]f'(x) = 3\cdot (2\cdot x^{2}-2\cdot x +1)^{2}\cdot (4\cdot x-2)[/tex]   [tex]\blacksquare[/tex]

2) [tex]f'(x) = \frac{15\cdot x^{2}-16\cdot x+9}{2\cdot \sqrt{5\cdot x^{3}-8\cdot x^{2}+9\cdot x-6}}[/tex]   [tex]\blacksquare[/tex]

3) [tex]f'(x) = \frac{2}{3}\cdot \left(3\cdot x^{2}-\frac{2}{3}\cdot x+x^{-4} \right)^{-\frac{1}{3} } \cdot \left(6\cdot x-\frac{2}{3} -4\cdot x^{-5} \right)[/tex]   [tex]\blacksquare[/tex]

[tex]f'(x) = \frac{2\cdot \left(6\cdot x-\frac{2}{3}-4\cdot x^{-5} \right)}{3\cdot \sqrt[3]{3\cdot x^{2}-\frac{2}{3}\cdot x +x^{-4} } }[/tex]   [tex]\blacksquare[/tex]

To learn more on derivatives, we kindly invite to check this verified question: https://brainly.com/question/23847661

For a school fundraiser, Elena will make pirate masks. She will order masks and print graphics on them. Elena must spend $349 on the printer before she can print any masks and then $4.80 on each mask. If she has $997 how many masks can she print? Answer as a number!

Answers

Answer:

135 masks

Step-by-step explanation:

i hope my math is right lol

Answer:

135 masks

Step-by-step explanation:

First, we take $997 and subtract that by $349

$997 - $349 = $648

To find how many masks Elena can print, we divide $648 dollars by $4.80. Since one mask is equivalent to $4.80

$648 ÷ $4.80 = 135

135 masks

I need help with this can someone PLEASE HELP

Answers

at 0 if not then a positive since it’s greater

go to 0 click on it then make it open circle and make the line go to the right

make the lin

Find the substitution 2x+3y=-5 and y=-x+5

Answers

Answer: x = 20, y = -15

Step-by-step explanation:

Since we already know that [tex]y=-x+5[/tex], we can just substitute in that value of y into the other equation:

[tex]2x+3y=-5\\2x+3(-x+5)=-5\\2x-3x+15=-5\\-x=-5-15\\-x=-20\\x=20[/tex]

with the value of x, we can find the value of y:

[tex]y=-x+5=-20+5=-15[/tex]

given:-x-4=9 prove:c=-13
Statements Reasons
1. -x-4=9 1. Given
2. -x=13 2.
3. x= -13 3. Divison Property of Equality

a. addition property of equality
b. subtraction property of equality
c. divison property of equality
d. multiplication property equality

Answers

Answer:

a. addition property of Equality

can someone help please ?

Answers

Answer:

yes they are

Step-by-step explanation:

(a-b)² = (a-b)×(a-b) = a²-b²

Answer:

No they are not

Step-by-step explanation:

squaring that expression will come out to be a^2-2ab+b^2

this is because you are doing (a-b)(a-b), so you have to multiply each term from the first set of parenthesis by each term in the second set of parenthesis.

a^2-ab-ab+b^2

a^2-2ab+b^2

(a-b)^2≠a^2-b^2

For the function f(x) = 6x + 9, find the value of x.so that f(x) = 3.

Answers

Hope to help you, have a good day

What is the slope of a line that is perpendicular to the graph of y = 2x + 5? A-² B 72 C2 D-2​

Answers

the correct answer it’s C

Is it possible to build a triangle with the side lengths of 9,7, and 16?

Please help! 11pts!!

Answers

Answer:

False

Step-by-step explanation:

To be able to build a triangle, the sum of the lengths of any 2 sides must be greater than the length of the third side.

With lengths 9, 7, and 16, 9 + 7 = 16.

You would need 9 + 7 > 16.

Therefore, these sides cannot be used for a triangle.

Chris made $136 for 8 hours of work.
At the same rate, how many hours would he have to work to make $289?

Answers

Answer:

17 hours

Step-by-step explanation:

$136/8hr = $17 dollars an hour

$17/hr=$289/t

$17/hr t=$289

t=17 hours

Answer:

17 hours

Step-by-step explanation:

136 divided by 8 is 17, that is his hourly wages. Divide 289 by 17 = 17 hours

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