The sum of two numbers is zero. When 10 times the smaller number is added to 6 times the larger, the result is 3. Find the two numbers.

Answers

Answer 1

Answer:

3/4 and -3/4

or

0.75 and -0.75

but there is no solution for

10 times the smaller number added to 6 times the larger number to get 3 as result.

the absolute values of x and y must be equal and with opposite signs (due to their sum being 0).

therefore, 10 times the negative value can never be compensated by 6 times the same but positive value. the sum will always be negative and not positive (and therefore not +3).

it only works with 10 times the larger (positive) number plus 6 times the smaller (negative) value.

Step-by-step explanation:

x + y = 0

10×x + 6×y = 3

=>

x = -y

10×(-y) + 6×y = 3

-10y + 6y = 3

-4y = 3

y = -3/4

=>

x = -y = -(-3/4) = 3/4

control :

10×(3/4) + 6×(-3/4) = 30/4 - 18/4 = 3

12/4 = 3

3 = 3

correct


Related Questions

explanation would really help​

Answers

Answer:

35

Step-by-step explanation:

the whole line is 49 and line DB is 30.

minus 16 from 30 so 30-16=14

then you minus line CB from EB so 49-14=35

that makes line EC 35

The screen at Dallas’ AT&T Stadium is 175 feet wide. A movie theatre screen with similar dimensions is 40 feet wide with a screen area of 896 ft². What is the area of the screen at AT&T Stadium? Round to the nearest square foot.

Answers

Answer: The area of the screen at AT&T Stadium = 17150 square foot.

Step-by-step explanation:

When two shapes are similar then,

[tex]\dfrac{(\text{Side of first shape})^2}{(\text{Side of second shape})^2}=\dfrac{\text{area of first shape}}{\text{area of second shape}}[/tex]

As per given , we have

[tex]\dfrac{(175)^2}{(40)^2}=\dfrac{\text{Area of AT}\ \&\text{T Stadium }}{896}\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=\dfrac{30625}{1600}\times896\\\\\Rightarrow\ \text{Area of AT}\ \&\text{T Stadium }=17150[/tex]

Hence, the area of the screen at AT&T Stadium = 17150 square foot.

What's 1/24 + 4/8 simplified? ​

Answers

Answer:

13/24

Step-by-step explanation:

1/24 + 4/8

first make denominator equal

1/24 + 4*3/8*3

1/24 + 12/24 = 13/24

then check if it can be further simplified

13/24

It cannot so you're done!

Hope this helps!

Answer:

13/24

Step-by-step explanation:

reduce the frcation with 4

1/24 + 1/2

write all numerators above the least common denominator 24

1+12/24

Calcuate 1+12/ 24

which = 13/24

Easy please help me with this assignment

Answers

Step-by-step explanation:

y=x may be

may it helped u ....

It’s actually the last equation (I)
If u plug in the x coordinate in the table (eg.2) into the equation y=3x-2, you are left with y=3(2)-2 which equals 6-2=4
So y=4
Checking the corresponding value for that x value, the y value is 4 so the equation is correct.

What is the 11th term of the geometric sequence with this explicit formula?
an = 5.(-2)(n-1)

Answers

Answer:

5,120

Step-by-step explanation:

an = 5.(-2)^(n-1)

a11 = 5.(-2)^(11-1)

= 5.(-2)^10

= 5.(1,024)

= 5,120

A tortoise is walking in the desert. . It walks for 7 minutes at a speed of 8.75 meters per minute. For how many meters does it walk ?

Answers

Answer: 61.25 meters

8.75meters x 7mins= 61.25 meters

Step-by-step explanation:

Well it would be 8.75 ×7 which is 61.25m

Average U.S. income is usually reported as
income.
a.
b.
seasonally adjusted
virtual
mean
C.
d.
median​

Answers

I think it’s mean :))

At Bill’s Burger Barn, every time you buy a burger there is a one in eight chance of winning a free burger. Nicholas bought a hamburger every day for five days. What is the probability that Nicholas wins 1 free hamburger this week?

Answers

Answer:

im not sure about this one but my answer is 0.025.

Step-by-step explanation:

if there is a 1 out of 8 chance of getting a free burger,  convert that into 1/8. divide that by 5 and you get 0.025.

What type of solution would tho following system have?
y=(9/3)x-2
y=3x-2

One Solution

No Solution

Infinite Solutions

Answers

Answer:

one solution I think is the answer

One solution I really hope this help

Write a number in which the digit 1 is worth 10 times as much as it is in 62,901

Answers

Answer:9

Step-by-step explanation:

No step

Answer:

the answer for this is 1

Step-by-step explanation:

cause ten times of 1 is 1.

Please don't confuse yourself with

1 times of 10.that one is 10

ten times of 1, means 1×1×1×1×1×1×1×1×1×1 it is still 1.

the second one is 10 ×1 =10.

Find the 66th term of the arithmetic sequence -28,-45,-62

Answers

Answer:

Using the formula

an = a of 1 + (n-1)(d)

an = -28 + (n-1)(-17)

simplify

an = -17n - 11

Now that we have the formula, we just plug in 66 for n

a66 = -17(66) - 11

a66 = -1133

Given that A=1/2πrh, make r the subject of the formula?​

Answers

Answer:

r=1/2πhA

Step-by-step explanation:

..................

Therefore, the formula of [tex]r[/tex] is [tex]2A(\pi h)^{-1}[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]A=\frac{1}{2}\pi rh[/tex]

So,

[tex]A=\frac{1}{2}\pi rh\\\\r=2A(\frac{1}{\pi h})\\\\r=2A(\pi h)^{-1}[/tex]

Hence, the formula of [tex]r[/tex] is [tex]2A(\pi h)^{-1}[/tex].

To know more about the equation

https://brainly.com/question/12788590

#SPJ2

Resuelve
Una cadena de gasolineras realizará un sorteo, para lo cual entrega un boleto a cada uno de sus
clientes. En la ciudad de Nogales se repartieron 5/40 del total de los boletos, en ciudad Obregón 1/4, en
Hermosillo 4/16 y en la Ciudad de Guaymas 3/8 ¿en qué ciudad es más probable que viva el ganador?)

Answers

Answer:

Es un 37.5% probable que el ganador viva en la Ciudad de Guaymas.

Step-by-step explanation:

Dado que una cadena de gasolineras realizará un sorteo, para lo cual entrega un boleto a cada uno de sus clientes, y en la ciudad de Nogales se repartieron 5/40 del total de los boletos, en ciudad Obregón 1/4, en Hermosillo 4/16 y en la Ciudad de Guaymas 3/8, para determinar en qué ciudad es más probable que viva el ganador se deben realizar los siguientes cálculos:

Nogales = 5/40 = 1/8 = 0.125

Obregón = 1/4 = 0.25

Hermosillo = 1/4 = 0.25

Guaymas = 3/8 = 0.375

Por lo tanto, es un 37.5% probable que el ganador viva en la Ciudad de Guaymas.

Según las proporciones,  hay que es más probable que el ganador viva en Guaymas.

En la ciudad de Nogales se repartieron 5/40 del total de los boletos, por eso la proporción es [tex]\frac{5}{40} = 0.125[/tex]El la ciudad de Obregón 1/4, o sea, la proporción es [tex]\frac{1}{4} = 0.25[/tex].El la ciudad de Hermosillo 4/16, o sea, la proporción es [tex]\frac{4}{16} = 0.25[/tex].En la ciudad de Guaymas 3/8, o sea, la proporción es [tex]\frac{3}{8} = 0.375[/tex].

Por la proporción mas alta, es más probable que el ganador viva en Guaymas.

Un problema similar es dado en https://brainly.com/question/24615636

what is the common difference of the following sequence?
3,5,7,9,11___

16,19,22,25___​

Answers

Answer:

the first one goes by 4n-1

the Second sequence goes by 3n + 13

Step-by-step explanation:

using the formula an=a1+d(n-1)

A pizza is cut into 3 slices. The first piece was 2over 9 and the second one was 2 over 7. How big or small was the last piece

Answers

Answer:

2/5

Step-by-step explanation:

ok

What is the outlier in the set of data? (2,4,6,8,9,9,45)​

Answers

Answer:

45

Step-by-step explanation:

This is the outlier because it is much larger than all of the other numbers in the set.

Watch help video
Solve for 2. Round to the nearest tenth, if necessary.
5-3
O
52
х
N

Answers

Answer:

x = 3.3

Step-by-step explanation:

Reference angle = 51°

Hypotenuse = x

Adjacent = 5.3

Apply trigonometric function CAH, which is:

Cos 51° = Adj/Hyp

Cos 51° = 5.3/x

x*Cos 51° = 5.3

x = 5.3/Cos 51°

x = 3.3 (nearest tenth)

what is the product of -8 1/3 and 3 2/5

Answers

Answer:

-28 1/3

Step-by-step explanation:

-8 1/3= -25/3

3 2/5= 17/5

-25/3*17/5= -28 1/3

Jenna just got done jumping at the Trampoline center. The total cost of the session was $15.23

She had to pay an entrance fee of $7.25 and $1.45 for every minute she was on the trampoline.

Answers

Answer:

≈ 5.5 minutes.

Step-by-step explanation:

Let m = number of minutes on the trampoline.

[tex]1.45m+7.25=15.23\\1.45m=7.98\\m=5.5[/tex]

She was on the trampoline for approximately 5.5 minutes.

Answer:

= 5.5 minutes

Step-by-step explanation:

1.45  + 7.25  = 15. 23

1. 45 = 15. 23 - 7. 25

1. 45 = 7 . 98

m = 5.5

Hope this answer helps you :)

Have a great day

Mark brainliest

Seventy-six percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 67% have an emergency locator, whereas 88% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.)

Required:
a. If it has an emergency locator, what is the probability that it will not be discovered?
b. If it does not have an emergency locator, what is the probability that it will be discovered?

Answers

Answer:

a. 0.0535 = 5.35% probability that it will not be discovered

b. 0.9465 = 94.65% probability that it will be discovered

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. If it has an emergency locator, what is the probability that it will not be discovered?

Event A: Has an emergency locator.

Event B: Not discovered.

Probability of having an emergency locator:

67% of 76%(discovered).

100 - 88 = 12% of 100 - 76 = 24%(not discovered). So

[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]

Probability of having an emergency locator and not being discovered:

12% of 24%. So

[tex]P(A \cap B) = 0.12*0.24[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.12*0.24}{0.538} = 0.0535[/tex]

0.0535 = 5.35% probability that it will not be discovered.

b. If it does not have an emergency locator, what is the probability that it will be discovered?

Event A: Has an emergency locator.

Event B: Discovered.

Probability of having an emergency locator:

67% of 76%(discovered).

100 - 88 = 12% of 100 - 76 = 24%(not discovered). So

[tex]P(A) = 0.67*0.76 + 0.12*0.24 = 0.538[/tex]

Probability of having an emergency locator not being discovered:

67% of 76%. So

[tex]P(A \cap B) = 0.67*0.76[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.67*0.76}{0.538} = 0.9465[/tex]

0.9465 = 94.65% probability that it will be discovered

please answer ASAP (math)

Answers

Answer: Undefined

Step-by-step explanation:

Replace x with -5

There is a Chick-fil-a exactly 6 miles due east of Berkmar Middle School. There is also a Wal-Mart 6 miles due north of Berkmar Middle School. How far is the Chick-fil-a from the Wal-Mart? Leave your answer in its simplest radical form.

Answers

Answer:

6√2 miles

Step-by-step explanation:

Using the solution diagram drawn :

We have a right angled triangle, the distance between Walmart mad chick-FIL is a measure of the hypotenus of the right angled triangle ;

The hypotenus, = √(opposite² + adjacent²)

Hypotenus = √6² + 6²

Hypotenus = √(36 + 36)

Hypotenus = √72

Hypotenus = √36 * 2 = √36 * √2 = 6√2 miles

Can y’all help me on question 6?!

Answers

Answer:

B

Step-by-step explanation:

To find the area of a parallelogram you do A=(b)(h) so 20x8=160. It's 160ft^2 because area is measured in square units.

I believe the answer would be B. 160ft^2

Since you are looking for area, you need the little 2 at the end to signify that it is squared feet, so that eliminated A and C

Now, the area for a parallelogram is base(height) so it would be 20(8) which is 160

Since we have previously eliminated A and C for not having the feet squared, it would be B

Please correct me if I am wrong, have a good day!

Solve P = 8/3 R + 30 for R.

Answers

Answer:

R = (3P-30)/8

Step-by-step explanation:

subtract 30 from each side to get:

P-30 = [tex]\frac{8}{3}[/tex]R

multiply each side by [tex]\frac{3}{8}[/tex] to get:

[tex]\frac{3}{8}[/tex] · P - 30 = R

R = (3P-30)/8

Find the volume of the sphere. Round your answer to the nearest tenth.

Answers

Answer:

D. 268.1 m³

Step-by-step explanation:

Volume =  4/3 * 3.14 * 4³

Volume = 4/3 * 201

Volume = 268 ≈ 268.1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Help plz I’m confused

Answers

Answer:

C.

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] is between 0 and 1

Only 1 point is between 0 and 1

C.

The answer is point C. 2/3 is a fraction between 0 and 1. And since point C is between 0 and 1, then the answer is point C

Find the area of the figure below

Options
360 ft²

240 ft²

275 ft²

300 ft²

Answers

Answer:

The total area is 300 ft^2

Step-by-step explanation:

First find  the area of the rectangle

A = l*w = 24*10 = 240

Then find the area of the triangle on the top

A = 1/2 bh

The base is 24 and the height is 15-10 = 5

A = 1/2 (24)*5 = 60

Add them together

240+60 = 300

The total area is 300 ft^2

Answer:

Total area of figure is 300 ft ²

Step-by-step explanation:

Finding the area of rectangle

We know that

Area of rectangle = length × width

Where,

length of rectangle = 10 ftwidth of rectangle = 24 ft

Substitute the values into the formula

Area = 10 ft × 24 ft

multiply ✖ , we get

Area of rectangle = 240 ft ²

Similarly, Finding the area of triangle

We know

Area of triangle = 1 /2 × Base × Height

Where,

Base of triangle = 24 ftHeight of triangle = 15 - 10 = 5 ft

Substitute the values

Area of triangle = 1 /2 × 24 ft × 5 ft

multiply

Area of triangle = 1/2 × 120 ft ².

divide , we get

Area of triangle = 60 ft ².

And Finally, Finding the total area

Total area of figure = Area of rectangle + Area of triangle

Total Area = 240 ft ² + 60 ft ²

➛ Total area of figure = 300 ft ²

If the measure of arc CB is 8/3 units, what is the measure of CAB?

Answers

Question:

If the measure of arc CB is [tex]\frac{8}{3} \pi[/tex] units, what is the measure of ∠CAB?

Answer:

120°

Step-by-step explanation:

The figure has been attached to this response.

The figure shows a circle centered at A and has a radius of 4 units.

Also, the length of the arc CB (as given in the question) is  [tex]\frac{8}{3} \pi[/tex] units.

The length L of an arc is given by;

L = [tex]\frac{\beta }{360} * 2\pi * r[/tex]         -----------------(i)

Where;

β = angle subtended by the arc at the center of the circle and measured in degrees

r = radius of the circle

From the question;

β = ∠CAB

r = 4 units

L =  [tex]\frac{8}{3} \pi[/tex]

Substitute these values into equation (i) as follows;

[tex]\frac{8}{3} \pi[/tex] = [tex]\frac{\beta }{360} * 2\pi * 4[/tex]

=>  [tex]\frac{8}{3} \pi[/tex] = [tex]\frac{\beta }{360} * 8\pi[/tex]

Cancel 8[tex]\pi[/tex] on both sides    

[tex]\frac{1}{3}[/tex] = [tex]\frac{\beta }{360}[/tex]

Cross multiply

3 x β = 360 x 1

3β = 360

Divide both sides by 3

[tex]\frac{3\beta }{3} = \frac{360}{3}[/tex]

β = 120°

Therefore, the measure of ∠CAB is 120°

Keke's favorite book weighs 2lbs 14oz. How many total ounces does her book weigh? * ​

Answers

Answer:

i think it is 46

Step-by-step explanation:

Answer:

2.9lbs

Step-by-step explanation:

there are 14oz in a pound so 14/16 is 0.875. Rounded up to .9lbs.

Convert the fraction greater than one into a mixed number 9/4

Answers

Answer: 2 1/4

Step-by-step explanation:

Other Questions
The great Gatsby Jay Gatsby appearance weakness Nutrients in excessive amounts enter water systems, causing algal bloom. A runs 25% faster than B and is able to give him a start of 7 metres to end a race in dead heat. What is the length of race? What is 16.99 times 0.80 The answer choices are spelling rules about what to do before adding suffixes to a base word that ends in e. Identify the rule that would be applied to the word below.accommodate + -ionsKeep the final e only if it lets g or c make their soft sounds.If the suffix starts with a consonant, keep the e and add the suffix.If the suffix starts with a vowel, drop the e and add the suffix.This word is an exception to the rule.If a base word ends in double e, do not drop the final e, but never write three e's in a row. I really dont get this problem then its for a math class and I really dont know what to do can somebody please help me A light-emitting diode (LED) connected to a 3.0 V power supply emits 440 nm blue light. The current in the LED is 11 mA , and the LED is 51 % efficient at converting electric power input into light power output. How many photons per second does the LED emit? The differences in beak shape are examples of: Hola amigos mi hombre es Elena . Yo soy de edcaudor peri vivo en Miami tengo deicisesis Amos . Soy Alta y no Bonita A reading strategy in which you try to understand the story in terms ofits historical, biographical, and culture place Can someone pleaseeee help and if youre correct ill give brainliest organizacion social actual de los mayas What is a chemical reaction that absorbs heat called?A. A thermal energy reactionB. A thermodynamic reactionC. An endothermic reactionD. An exothermic reaction How did the increase in warfare contribute to the collapse of the Maya cities? How do I do this ? no links please If a1 = 6 and an = 3 + 2(an-1), then a2 equalsno links Find m 22 in the figure below.95272 What is the surface area of the cylinder with height 4 yd and radius 7 yd? Round your answer to the nearest thousandth. (02.01 MC) Which state of matter does this model represent? O Solid O Liquid O Gas O Plasma which statement best describes the impact of industrial military technology during world war oneA. countries that used industrial weaponry quickly defeated those that could not afford itB. The supply and demand surrounding advanced weaponry caused an economic boom for most countriesC. because industrial military technology was in its infancy it was only used at the wars endD. The use of industrial military technology contributed to the greatest number of casualties ever seen in war