One number is twice another number.
The larger number is 6 less than three
times the smaller number. Find the
two numbers.

Answers

Answer 1

20 and 14


Explanation:
Let the larger number be
x

Then the smaller number will be
x

6

Three times the smaller number is
3
(
x

6
)
, which is equal to two more than twice the other number which is
2
x
+
2

So,

3
(
x

6
)
=
2
x
+
2

Use the distributive property
a
(
b
+
c
)
=
a
b
+
a
c


3
x

18
=
2
x
+
2

Add
18
both sides

3
x
=
2
x
+
20

Subtract
2
x
both sides

x
=
20

We know that the larger number is
20

So, the smaller number is
20

6
=
14


Related Questions

28,490 - 478.29 solve ​

Answers

Answer:

28,011.71

Step-by-step explanation:

can someone write these in decimals plz and thank u

can someone write these in decimals plz and thank u

Answers

Answer:

2. 0.075

3. 0.416

4. 20.3

5. 1.32

6. 0.503

7. 12.11

8. 0.214

Eind the product of (5p+3) and (3p-2). What is the value of the product when P=2? ​

Answers

5(2)+3= 13, 3(2)-2= 4
The product of (5p+3) and (3p-2)

(5p+3) (3p-2)
15p^2 -10p + 9p -6
=15p^2 -p -6

Now by substituting 2 as p into the expression

15* (2^2) -2-6
= 15 * 4 -8
=60-8
=52

Write an expression for the product (√6)(‾‾‾√15)without a perfect square factor in the radicand.
A. 3‾√5
B. 3‾‾√10
C. 9‾√5
D. 9‾‾‾√10

pls answer quick

Answers

An expression for the product (√6)(‾‾‾√15)without a perfect square factor in the radicand is -3√10. Option A

How to determine the expression

It is important to note that surds are expressions that includes a square root, cube root or any other root symbol.

They are used to write irrational numbers  because the decimals of irrational numbers do not  recur, they cannot be written  in decimal form.

From the information given, we have the surds;

(√6)(‾‾‾√15)

expand the bracket, we get;

-√90

Find the square root of the value and allow others in radical forms, we get;

- √9 × √10

Find the perfect square, we get;

-3√10

Hence, the value is -3√10

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If the numerator of a fraction is increased by 2 and the denominator by 5 it becomes 1/2. Again if the numerator is decreased by 4 and the denominator by 1 it becomes 1/3, find the fraction.​

Answers

The original fraction is 10/19

Let the fraction be \(\frac{x}{y}\)

Now , according to question

\(\frac{x+2}{y+5}\) =\(\frac{1}{2}\)

⇒ 2(x+2)=y+5

⇒2x-y-1=0-------(1)

and \(\frac{x-4}{y-1}\)=\(\frac{1}{3}\)

⇒3(x-4)=y-1

⇒3x-y-11=0------(2)

subtracting 1 from 2 we get

2x-y-1

3x-y-11

-  +  +

x=10

putting in (1)

20-y-1=0

y=19

∴ The actual fraction was 10/19

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1,3,6,10,15,21,28 as a function

Answers

It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:

f(n) = n*(n+1)/2

Where n is the position of the number in the sequence.

So, for example:

f(1) = 1*(1+1)/2 = 1

f(2) = 2*(2+1)/2 = 3

f(3) = 3*(3+1)/2 = 6

and so on.

20,000 ten thousands equals how many hundred thousands

Answers

20,000 ten thousand equals 2000 Hundred thousand.

As per the question statement, we are provided with a value: "20,000 ten thousand".

We are required to calculate how many hundred thousand are equal to 20,000 ten thousand.

To solve this question, let us first write down 20,000 ten thousand into the numerical format, i.e, \((20000*10,000)=200000000\).

As we know, a hundred thousand when written down in the numerical format becomes 100,000, let us assume that 20,000 ten thousand equals to "x" number of Hundred thousand.

Therefore, we can form a linear equation in one variable "x" based on the condition, in the above-mentioned statement, which goes as  \((100,000*x)=200000000\)

\(or, (100,000x)=200000000\\or,x=\frac{200000000}{100,000}\\or,x=\frac{2*10^{8} }{10^5\\}or,x=(2*10^3)\\or,x=2000\)

Hence, 20,000 ten thousands equals 2000 Hundred thousands.

Linear Equation: linear equations: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and hence comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c)  where, 'm' is the slope and 'b' is the y-intercept. Occasionally, it is also called as a "linear equation of two variables," where y and x are the variables.Variable: n Mathematics, a variable is a symbol or a representative of a value, which is unknown.

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If the sum of two numbers is 8029, and one of the numbers is 2610, what is the other number?

Answers

Answer:

5419

Step-by-step explanation:

What is the total measurements of this roof in square feet?

What is the total measurements of this roof in square feet?

Answers

The total measurements of the roof in square feet as required to be determined in the task content is; 2649 ft².

What is the total area of the roof in square feet?

It follows from the task content that the total area of the roof as given in the task content is to be determined.

On this note, the area of the roof is the total area of the 71ft by 39 ft rectangle minus the area of the shaded region with dimensions 15 ft by 8 ft.

Therefore;

Area = (71 × 39) - (15 × 8)

= 2649 ft².

Ultimately, the total area measure of the roof in square feet is; 2649 square feet.

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In the diagram, b || c. Find the value of y

In the diagram, b || c. Find the value of y

Answers

Using the corresponding angle theorem, the value of y is 36 degree.

In the given question, b||c.

We have to find the value of y.

Given: b||c

Find: Value of y

Let x be the value of side angle of (2y+34) degree.

So, using the corresponding angle theorem

x = 74 degree

As we know that the sum of straight line is 180 degree.

So 2y+34+x = 180

Now putting the value of x

2y+34+74=180

After simplifying

2y+108=180

Subtract 108 on both side, we get

2y=72

Divide by 2 on both side, we get

y=36

Hence, the value of y is 36 degree.

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Match each unit rate to its ratio. PLEASE HELP

Match each unit rate to its ratio. PLEASE HELP

Answers

Answer:

1½ gallons per minute3 gallons per minute ⅔ gallon per minute 9 gallons per minute

Step-by-step explanation:

You have to divide both numbers.

evaluate the function f(x) = square root of x at given value

evaluate the function f(x) = square root of x at given value

Answers

Answer:

2/11

Step-by-step explanation:

since the square root of 4 is 2 and that of 121 is 11

What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10? Round to the nearest tenth, if necessary.
x = ____
y = ____Choose matching definition
a. (-3.5, 2.3)
b. (1.2, -4.7)
c. -2.6
5.2
d. (-4, -5)

Answers

The x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10 are (-2.6,5.2).

A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. A ray has only one endpoint and an endlessly long another end, as opposed to a line segment that has two ends.

If a point (x,y) divides the line segment joining the points A(x1,y1) and B (x2,y2) is in the ratio m:n, then

\(x=\frac{mx2+nx1}{m+n} \\y=\frac{my2+ny1}{m+n} \\\)

Here,

m:n = 3:10

The endpoint of line AB are at: A(-4,8) and B(2,-4)

We substitute the given values to obtain:

x= 3*2+10*(-4)/3+10

x= -34/13

x= -2.6

and

y= 3*(-4)+10*(8)/3+10

y= 68/13

y= 5.2

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HELP ASAP

The highest Common Factor of two prime numbers is 1. *


Is that true or false???​

Answers

Answer:

True

Step-by-step explanation:

For example:

HCF of 2 and 3 is 1

Answer:

true

Also i need help with

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Please help me in confused

Please help me in confused

Answers

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

What is the value of the expression 1/4 (16 + g)-h when g=4 and h = 2?


a.) 16/3

b.) 4/5

c.) 3

d.) 5

20 points to who answers!​

What is the value of the expression 1/4 (16 + g)-h when g=4 and h = 2? a.) 16/3 b.) 4/5c.) 3d.) 520 points

Answers

Answer:

option 3 is a correct answer

Answer: C

Step-by-step explanation:

Where g appears in the expression, substitute 4 and where h appears, substitute 2, remember to follow PEMDAS

1/4(16+g)-h

= 1/4(16+4)-2

= 1/4(20)-2  --> 1/4 * 20 = 1/4 * 20/1 = 20/4 = 5

= 5 - 2

= 3

lve for m.
-3 + m

9 = 10
A.
-30
B.
63
C.
87
D.
93

Answers

The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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In the figure, the angles are formed by a transversal and two parallel lines. Which angles seem to be congruent?

In the figure, the angles are formed by a transversal and two parallel lines. Which angles seem to be

Answers

The angles are formed by a transversal and two parallel lines in the figure. By applying congruent angles and vertical opposite angle property, ∠1 ≅∠3 ≅ ∠5 ≅ ∠7; ∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8. Therefore option B is correct.

Congruent angles are identical to each other and have the same measure. The angles formed by the transversal in corresponding corners are called corresponding angles and they are congruent.

Therefore, ∠1 ≅ ∠5, ∠3 ≅ ∠7----------(1)

At a vertex if two angles are opposite to each other, then they are vertically opposite angles, they are equal and congruent to each other.

Therefore, ∠1 ≅ ∠3, ∠5 ≅ ∠7----------(2)

Combining (1) and (2), we get:

∠1 ≅∠3 ≅ ∠5 ≅ ∠7
Similarly we can find,

∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8.

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If there are 15 flowers in 3 pots, how many flowers are in 1 pot?
O A.5
O B.3
O C. 15
O D.4

Answers

Divide 15 flowers by 3 pots to find the answer!

It will tell how many flowers can equally go in EACH POT

15 ÷ 3 = 5

The answer is A, .... 5 flowers can go in ONE POT

If there are 15 flowers TOTAL and 3 pots, you divide 15 by three (think of having 15 pieces of candy and dividing them among 3 people) you would have 5 each so the answer is 5!
Another simple way is turning the problem around for example the problem here would be 15/3=? Remember,division backwards is always multiplication so turn this into ?x3=15 and figure out what times three is fifteen using a variable or just a question mark.

The sum of three consecutive natural numbers is 891, find the numbers.

The three numbers in increasing order are _____ , _____ and _____​

Answers

The three numbers in increasing order are 296. 297 and 298

How to determine the value

Let the consecutive natural numbers be;

first number  = x

second number = x + 1

Third number = x + 2

Now, substitute the values, we get;

x + x + 1 + x + 2 = 891

collect the like terms

x + x + x = 891 - 3

Add or subtract the like terms, we get;

3x = 888

Divide the value by the coefficient of x, we get;

3x/3 = 888/3

Divide the values

x = 296

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Freida’s credit card has an APR of 13.73%, and it calculates her finance charge by using the daily balance method and a 30-day billing cycle. On September 1st, Freida had a balance of $449.22. During the month of September, she made a payment of $85.33 and a purchase of $60.99. How much greater will her September finance charge be if the purchase occurred on September 7th and the payment occurred on September 20th than it would be if the payment occurred on September 7th and the purchase occurred on September 20th? a. $0.13 b. $0.41 c. $0.72 d. $0.28

Answers

Answer:

$0.72 C

Step-by-step explanation:

ON E2020 THE ANSWER IS CCC

Freida's ffinance charge on credit card if the purchase of $60.99 and payment of $85.33 occured between September 7th and 20th is $0.72 C which is option C.

What is APR 13.73% mean?

The interest on the credit amount for one year on the credit card.

Freida’s credit card has an APR is 13.73%

One month iinterest  0.1373÷12

                                    ⇒0.0115

APR for credit cards is charged on  purchased amount =$60.99

⇒Interest on $60.99 for 00ne month is= $60.99×0.0115  

                                                                   =$0.72

According to the given option:-

a. $0.13

b. $0.41

c. $0.72

d. $0.28

the answer will be option C $0.72.

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Which expresion has the greatest value when n is equal to 4

Answers

The expression that has the greatest value when n is equal to 4 is option B, n + 30, with a value of 34.

How do we calculate?

To determine which mathematical expression has the greatest value when n is equal to 4, we can simply substitute 4 for n in each expression and compare the results.

A. 5n = 5(4) = 20

B. n + 30 = 4 + 30 = 34

C. 50 - n = 50 - 4 = 46

D. 80 ÷ n = 80 ÷ 4 = 20

The complete question is: Which expression has the greatest value when n is equal to 4? A. 5n B. n + 30 C. 50 – n D. 80 ÷ n

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Why was the invention of the mechanical reaper important?
A. The reaper separated cotton fibers from cotton seed much faster than the manual method used earlier.
B. The reaper made it possible to communicate very quickly across a wire.
C. The reaper replaced the old method of sewing clothes by hand.
D. The reaper could cut grain much faster than the older method of harvesting by hand with a scythe.

Answers

Answer:

A.) The reaper separated cotton fibers from cotton seed much faster than the manual

method used earlier.

B.) The reaper made it possible to communicate very quickly across a wire.

C.) The reaper replaced the old method of sewing clothes by hand.

D.) The reaper could cut grain much faster than the older method of harvesting by hand

with a scythe.Step-by-step explanation:


Please help solve this for me

Please help solve this for me

Answers

Answer:

i believe the answer would be option D

Step-by-step explanation:

Algebra Question
Let v = (-7,6,-6) and w = (-5,-3,-6) be vectors in R^3. Find the orthogonal projection of v onto w.
Answer:
Projection on w: (-54/14, -159/70, -159/35)

I have the correct answer but I don't know how they got it.

Answers

The orthogonal projection of vector v onto vector w in R^3 is (-54/14, -159/70, -159/35).

To find the orthogonal projection of v onto w, we need to calculate the scalar projection of v onto w and multiply it by the unit vector of w. The scalar projection of v onto w is given by the formula:

proj_w(v) = (v⋅w) / (w⋅w) * w

where ⋅ denotes the dot product.

Calculating the dot product of v and w:

v⋅w = (-7)(-5) + (6)(-3) + (-6)(-6) = 35 + (-18) + 36 = 53

Calculating the dot product of w with itself:

w⋅w = (-5)(-5) + (-3)(-3) + (-6)(-6) = 25 + 9 + 36 = 70

Now, substituting these values into the formula, we have:

proj_w(v) = (53/70) * (-5,-3,-6) = (-54/14, -159/70, -159/35)

Therefore, the orthogonal projection of v onto w is (-54/14, -159/70, -159/35).

In simpler terms, the orthogonal projection of v onto w can be thought of as the vector that represents the shadow of v when it is cast onto the line defined by w. It is calculated by finding the component of v that aligns with w and multiplying it by the direction of w. The resulting vector (-54/14, -159/70, -159/35) lies on the line defined by w and represents the closest point to v along that line.

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Triangle ABC has vertices at A(−3, 3), B(0, 7), and C(−3, 0). Determine the coordinates of the vertices for the image if the preimage is translated 3 units up.

A′(−3, 0), B′(0, 4), C′(−3, −3)
A′(−3, 6), B′(0, 10), C′(−3, 3)
A′(−6, 3), B′(−3, 7), C′(0, 0)
A′(0, 3), B′(3, 5), C′(0, 0)

Answers

Answer:

To translate triangle ABC 3 units up, we need to add 3 to the y-coordinate of each vertex:

A' = (-3, 3 + 3) = (-3, 6)

B' = (0, 7 + 3) = (0, 10)

C' = (-3, 0 + 3) = (-3, 3)

Therefore, the coordinates of the vertices for the image triangle A'B'C' are A'(-3, 6), B'(0, 10), and C'(-3, 3).

So the correct answer is: A′(−3, 6), B′(0, 10), C′(−3, 3).

*WILL GIVE BRAINLIEST FOR BEST ANSWER*
Subtract. Write your answer in scientific notation.
(5.6×106)–(1.1×106)

Answers

Answer:

447

Step-by-step explanation:

Lucky Champ owes $204.00 interest on a 8% loan he took out on his March 17. The loan is due on August 17. What is the principal?

Answers

Answer:

2,550 dollars hope u get a good grade

Step-by-step explanation:

the andswer is 220.32

Step-by-step explanation:

when you take 204 times the 8percent interest

204 x .08

you get 16.32

now add 16.32 and 204 and thats what you owe for your loan

what is the perimeter of a regular pentagon whose sides are 6 incges long​

Answers

Answer: 30inches

Step-by-step explanation:

P=5a

a=side length

P=5(6)

5*6=30

write an equation of the line that passes through the points (0,-2),(3,13)

Answers

Answer: y = 5x-2

Step-by-step explanation:

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