A number is twice the other number. The sum of four times the smaller number and three times the larger number is 10. Find the numbers.

Please teach me how to do this. I'll give 90 points.

Answers

Answer 1

Answer:

1 and 2

Step-by-step explanation:

Let the first number be x

Let the other number be y

x = 2y.....eqn 1

From eqn 1, the smaller number is y while the bigger number is x.

3x + 4y = 10.... eqn 2

Substitute x = 2y into eqn 2

3(2y) + 4y = 10

6y + 4y = 10

10y = 10

Divide both sides by 10

y = 10/10

y = 1

Substitute y= 1 into eqn 1

x = 2y

x = 2(1)

x = 2


Related Questions

15 points!!!
Write an
equation of the parabola shown.

Answers

Answer:

y=1/2x-4

Step-by-step explanation:

find the gradient and sub in to find y intercept.give me brainliest pls this took forever to do,

*!!!* please help me!! i’ll mark brainliest if the answer is right!

Answers

Answer

Roundworm is 9ft long and the tapeworm is 60 feet long

Step-by-step explanation:

If we turn this into an algebraic equation we get 8x-3=69 with 8x being x + 7x because we know that the tape worm is about 7 times longer than the round worm and the roundworms length would be x here. We have the -3 because it is 3 minus 7 times the total length. We do this and eventually end up with x = 9 which is the length of the roundworm. We multiply that by 7 to get 63 and subtract 3 to get 60. If you want to check if this is right do 60+9 and you'll get 69 which is the total of them end to end. (also 69 funny haha)

PLEASE, PLEASE HELP WITH THIS SOON!
A restaurant customer left ​$1.10 as a tip. The tax was 4% and the tip was 10​% of the after tax cost. Which information is not needed to compute the bill after tax and​ tip? What was the total​ bill?

Answers

Answer:

all info is needed  answer of the total bill is:275 us

Step-by-step explanation:

10x1.10=11= tax

100/z=4/11

275

Which equation is true for the value b= 10? OA 2(b + 4) = 16 B. 2(b + 2) = 40 3(b - 2) = 24 OD 2(8 + b) = 42 o E. 31b-4) = 20​

Answers

Answer:

OC

Step-by-step explanation:

3(b-2)

3(10-2)

3(8)

24

Represent the following Percent as a decimal, 87.5%

Answers

So with converting percentages to decimals you move where the decimal is 2 spots to the left of the number so in this case it would be .875
0.875
Hope this helps!

A $24,000 car depreciates at a rate of 15% annually. What is that average rate of change from year 6 to year 10?

Answers

It would be 2,760 I’m pretty sure you just need to do the maths like multiple division add

Which inequality is true if p=3?

A. 3p <9
B. 13 < 4p
C. 5p > 15
D.8 > 2p

Answers

Answer:

D

Step-by-step explanation:

2×3 = 6 which is less than 8

plz help me with this problem

Answers

Answer:

2/3 + 1/8 = 3/11 or 1-(2/3 + 1/8)=8/11

Step-by-step explanation:

To be honest addition or subtraction would be most used in theese types of problems so I think its 2/3 + 1/8 = 3/11 or either 1-(2/3 + 1/8)=8/11

Which is the equation of a line that has a slope of -7 and a Y intercept of 2

Answers

Answer:

y = -7x + 2

Step-by-step explanation:

Help pls I don’t understand this my teacher didn’t teach this

Answers

Answer:

x = 60

Step-by-step explanation:

The tip of the triangle's angle is 100 (b/c 180-80)

x + 100 + 20 = 180

x + 120 = 180

x = 60

Answer:

Step-by-step explanation:

X=60

The distance between city a and city b is 200 miles. A length of 1.7 feet represents this distance on a certain wall map. City c and city d are 2.55 feet apart on this map. What is the actual distance between city c and city d

Answers

Answer:

510

Step-by-step explanation:

200×2.55=510 this is the answer

Note: Triangle may not be drawn to scale.


Suppose a = 10 and b = 2.


Find an exact value or give at least two decimal places:


sin(A) =



cos(A) =



tan(A) =

Answers

Answer:

Step-by-step explanation:

more info

Exact values are follows:

sin A = 0.98

cos A = 0.20

tan A = 5

What is Trigonometric function?

In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

What is Pythagorean theorem?

In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

Given,

a = 10, b = 2

Draw the figure using the given data

Apply Pythagorean theorem to find the third side or hypotenuse

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

[tex]c^{2}=10^{2}+2^{2}\\c^{2}=100+4\\ c^{2}=104\\ c=\sqrt{104}[/tex]

c = 10.19 units

We know sin θ = Opposite side / Hypotenuse

Sin A = [tex]\frac{10}{10.19}[/tex]

sin A = 0.98

cos θ = Adjacent side / Hypotenuse

cos A = [tex]\frac{2}{10.19}[/tex]

cos A =0.20

tan θ = Opposite side / Adjacent side

tan A = [tex]\frac{10}{2}[/tex]

tan A  = 5

Hence, the Exact values are follows:

sin A = 0.98

cos A = 0.20

tan A = 5

Learn more about Trigonometric functions and Pythagorean theorem here

https://brainly.com/question/14669175

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Can you help me on question 12?!

Answers

Answer:

A) 8/27

Step-by-step explanation:

(2/3)³ = 8/27

g^4+ 5h
when g=2 & h=4

Answers

Answer: 36

Step-by-step explanation:

g^4+5h

2^4+5(4)

16+20

36

use inductive reasoning to predict the next line in the sequence of computations.
1=1×1
1+7=2×4
1+7+13=3×7​

Answers

Answer:

1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n

Step-by-step explanation:

The computation of the next line in the sequence is shown below:

As we can see that there is an increase of 6 in the left side and on the right hand side there is an increase of one

So,

1 = 1 × n

1 + (1+6) = 2 × n

1 + (1+6) + (1+6+6) = 3 × n

So, the next line would be  

1 + (1+6) + (1+6+6) + (1+6+6+6) = 4 × n

i.e.

1 + 7 + 13 + 19 = 4 × 10

As 1 + 7 + 13 + 19 = 40

And 40 = 4 × 10

Lori has $450 in her bank account. She withdraws $20 a month for
her gym membership. Construct a linear equation to model Lori’s
bank balance for any given month.

Answers

Answer:

I cant give you a linear graph but i can give you the equation and you can graph it.   y=20x+450

Step-by-step explanation:

       

Answer:

Y = -20x + 450.

Step-by-step explanation:

Which pair shows equivalent expressions?

A. 2x+10=-2(x-5)
B. -2(x-5)=2x-10
C. -2x-10=-2(x+5)
D. -2(x-5)=-2x-10

Answers

im pretty sure its a and c but if it cant be both of them then u or ur teacher probably wrote one of them wrong

Answer:

its answer is A...as u see inA 10 can be divided by 2 and the answer comes 5 it is equivalent.

What is the second step in solving the following equation?
-3x + 5 = 20

Subtract 5 from both sides

O Divide both sides by-3

o add 3x to both sides

O Divide both sides by 3

Answers

divide both sides by -3

Bill charges 20 dollars to come to your house. He also charges 12 dollars for each hour that he works there. If the total price of Bill’s visit is $116 how many hours was he there?

Answers

Answer:

He was there for 8 hours.

Step-by-step explanation:

5/8÷1/3 do you now the answer ​

Answers

Answer:

15/8  

Step-by-step explanation:

This is a fraction so when dividing fractions you can multiply by the reciprocal.

5/8*3/1= 5*3/8*1 = 15/8  

what is the volume if this rectangular prism​

Answers

First take 15/4x6/5=4.5 now since there are four sections like this we need to multiply that by four 4,5x4=18. Now lets find the two ends (8/3x6/5)2=6.4. Now we can add our two values together. 18+6.4=24.4cm^3. So the answer is 24.4cm^3

Answer:

24.2^3cm is the correct answer .

--Please help, ill give 30 points and brainiest if your correct!!--

Lisa and Alice are playing a game. Each player either receives or has to pay play money based on the results of their spin. The table lists how much a player receives or pays for various spins. What color has the greatest amount?
Red
Pays $5
Blue
Receive $4
Yellow
Pay $1
Green
Receive $3
Orange
Pay $2

Answers

Answer:

The amount in table as positive negative numbers: -5, 4, -1, 3, -2.

The spinner lands on red the change to Lisa's amount of money is -$5.

Step-by-step explanation:

Consider the provided table.

Part(A)

The table list how much a player receives or pays for various.

Paying some money is represented by a negative sign while receiving money is represented by a positive sign.

For red they needs to pay $5 which can be written as -5.

For blue they received $4 which can be written as 4.

For yellow they needs to pay $1 which can be written as -1.

For green they received $3 which can be written as 3.

For orange they needs to pay $2 which can be written as -2.

So, the amount in table as positive negative numbers: -5, 4, -1, 3, -2.

Part(B)

Now, we need to describe the change to Lisa’s amount of money when the spinner  lands on red.

If spinner lands on red then she needs to pay $5.

Thus, if the spinner lands on red the change to Lisa's amount of money is -$5.

Identifying a binomial experiment In a study conducted by the sponsoring organization of an academic conference, attendees were classified during registration into one of three categories according to their field of interest: General, Applied, or Theoretical. Of the 400 people in attendance, 200 were classified as General, 60 were classified as Applied, and 140 were classified as Theoretical. You randomly select three registration cards (with replacement) of attendees of the conference and record their fields of interest.
This experiment _________ binomial experiment.
When you select a registration card, the probabilities associated with each outcome are:
Outcome Probability
General 0.35
Applied 0.45
Theoretical 0.20
binomial random variable with mean E(X) = and Let X be the number of card selections with outcome "General." Then X is a standard deviation o =________

Answers

Answer:

1, this is a binomial experiment.

Step-by-step explanation:

this is a binomial experiment. Since it is general outcome, the probability of success is 0.50, that is 50 percent.

we have that X follows the binomial distribution

X ~ Binomial(n = 3, p = 0.50)

we have 3 outcomes( general, applied, theoretical).

mean = E(X)

= np

= 3(0.5)

= 1.5

standard deviation = σ = √np(1-p)

= √3(0.5)(1-0.5)

= √1.5(0.50)

= √0.75

= 0.8660

the mean = 1.5

the standard deviation = 0.8660

What is 21+G as an algebraic expression?

Answers

Answer:

i dont know

Step-by-step explanation:

lol

Answer:

(20 + 1) + G

Step-by-step explanation:

The sum of 3 times the value of x and 2 is equal to less than 5 times the value of x. Which equation can be used to find the value of x?

A. 3x+2=4-5
B. 2x+3=4-5x
C. 3x+2=5x-4
D. None of these

Answers

sum is the answer to addition problem.

less than is subtraction and "times" is multiplication.

So we have

3x+2=5x-4

So the answer is C.

Also, i'm bored so imma solve it.

3x+2=5x-4

    -2      -2

3x=5x-6

-5x -5x

-2x=-6

/-2   /-2

x=3

---

hope it helps

Evaluate the following integral using trigonometric substitution
Integral underroot dx/ 9-x^2

Answers

Answer:

The result of the integral is:

[tex]\arcsin{(\frac{x}{3})} + C[/tex]

Step-by-step explanation:

We are given the following integral:

[tex]\int \frac{dx}{\sqrt{9-x^2}}[/tex]

Trigonometric substitution:

We have the term in the following format: [tex]a^2 - x^2[/tex], in which a = 3.

In this case, the substitution is given by:

[tex]x = a\sin{\theta}[/tex]

So

[tex]dx = a\cos{\theta}d\theta[/tex]

In this question:

[tex]a = 3[/tex]

[tex]x = 3\sin{\theta}[/tex]

[tex]dx = 3\cos{\theta}d\theta[/tex]

So

[tex]\int \frac{3\cos{\theta}d\theta}{\sqrt{9-(3\sin{\theta})^2}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9 - 9\sin^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{\theta})}}[/tex]

We have the following trigonometric identity:

[tex]\sin^{2}{\theta} + \cos^{2}{\theta} = 1[/tex]

So

[tex]1 - \sin^{2}{\theta} = \cos^{2}{\theta}[/tex]

Replacing into the integral:

[tex]\int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{2}{\theta})}} = \int{\frac{3\cos{\theta}d\theta}{\sqrt{9\cos^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{3\cos{\theta}} = \int d\theta = \theta + C[/tex]

Coming back to x:

We have that:

[tex]x = 3\sin{\theta}[/tex]

So

[tex]\sin{\theta} = \frac{x}{3}[/tex]

Applying the arcsine(inverse sine) function to both sides, we get that:

[tex]\theta = \arcsin{(\frac{x}{3})}[/tex]

The result of the integral is:

[tex]\arcsin{(\frac{x}{3})} + C[/tex]

FIND THE VALUE OF X PLEASE HELP ME

Answers

Answer:

x = 18

Step-by-step explanation:

4(18) = 72

2(18) - 10 = 26

4(18) + 10 = 82

72 + 26 + 82 = 180

18 the answer they were correct!! And I looked over ok let me stop with the !! I sound white well I looked over there work and it correct

Which figure could be the result of dilating this triangle with a scale factor greater than 1? On a coordinate plane, a triangle has points (0, 0, (0, 3), (6, 0). On a coordinate plane, a triangle has points (0, 0), (0, 3), (9, 0). On a coordinate plane, a triangle has points (0, 0), (0, 1), (6, 0). On a coordinate plane, a triangle has points (0, 0), (0, 5), (10, 0). On a coordinate plane, a triangle has points (0, 0), (0, 2), (4, 0).

Answers

Answer:

C

Step-by-step explanation:

Edge

The required figure has been attached below could be the result of dilating a given triangle with a scale factor greater than 1. The correct answer would be an option (C).

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The triangle has points (0, 0), (0, 3), and (6, 0) which are given in the question.

As per option (C), we have

On a coordinate plane, a triangle has points (0, 0), (0, 5), and (10, 0).

This result of dilating a given triangle with a scale factor greater than 1.

The required figure has been attached below which represents the dilation.

The correct answer would be an option (C).

To learn more about the transformations click here :

https://brainly.com/question/28029674

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

Answers

Answer:

[tex]-1/x^2[/tex]

Step-by-step explanation:

First, let's simplify the expression on the right:

[tex]1/\sqrt{x^2}=1/x[/tex]

Next, rewriting 1/x as x⁻¹, we can use the power rule to differentiate both sides with respect to x:

[tex]y=x^{-1}\\dy/dx=d/dx(x^{-1})\\dy/dx=-x^{-2}=-1/x^2[/tex]

Find three rational number between 2/3 and 3/4.
First pls​

Answers

Answer:

21/30, 22/30, 23/30

Step-by-step explanation:

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