The sum of two numbers is 48. If one number is three more than twice the second number, which of the following is the
smaller number?

O 24
O 15
O 30
O 33

The Sum Of Two Numbers Is 48. If One Number Is Three More Than Twice The Second Number, Which Of The

Answers

Answer 1

Answer:

15 (second option listed)

y = 15

x = 30

Step-by-step explanation:

setting up this statement algebraically:

[where x = one of our numbers, y = other number]

x + y = 48

x = (2y + 3)

x = 2y + 3

plug x [now in terms of y] into the original equation

(2y + 3) + y = 48

3y  + 3 = 48

  - 3        - 3

3 y = 45

÷3       ÷3

y = 15

from this value, we can plug it back into the y-value of the original equation to find our x-value

x + y = 48

x + 15 = 48

  - 15    - 15

x = 33

{to check: 33 is 2y + 3}

we know that y = 15 (smaller number) and that x = 33 (larger number)

so, the solution to the question of which is the smaller number is 15

Answer 2
The answer is 15
Hope this helps

Related Questions

The diameter of a circle is 62cm

by first calculating the radius work out the area of the circle
give your answer in cm² to 1.d.p

Answers

Answer is 3017.5 cm^2
Reason

We know diameter is 62
Radius (r) is 1/2 of diameter so r=31

Formula for area
A= pi r^2
Fill in what we know
A= (3.14) (31^2)
Multiply
A=3017.54
Round to 1 dp
A= 3017.5

Dr. Smith and Dr. Jones want to study the effects on a patient's arthritis that curl in the patient believes that he was she use a new ointment the control group consists of the patient who chooses to visit Dr. Smith about arthritis and they receiving an appointment with no medical value the experimental group consists of the patients who chooses to visit Dr. Jones about the right s and they receive the new ointments is this study experimental or observational

Answers

Answer:I think observational

Step-by-step explanation:They want to study it so they trying it on people who are willing so they are looking closely to what happens.

lateral surface for a triangular prism l=8 w=4 h=6

Answers

Answer:

? i need help

Step-by-step explanation:

Lyanna opens a bank account with a deposit of $200. She earns 3%
interest per year. How much money will Lyanna have in her account after
the first year?

Answers

Answer:

$206

Step-by-step explanation:

Lyanna will earn 3% on her capital within 1 year.
In total, she will have 103%.
$200 x 103% = $206

Find the common multiple of 5 and 6 between 100 mathfind the common multiple of 5 and 6 between hundred ​

Answers

Answer

100 multiples of 5 greater than 100 are:

Step-by-step explanation:

105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 375, 380, 385, 390, 395, 400, 405, 410, 415, 420, 425, 430, 435, 440, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495, 500, 505, 510, 515, 520, 525, 530, 535, 540, 545, 550, 555, 560, 565, 570, 575, 580,

Compare the quantity in Column A with the quantity in Column B.
Column A Column B
slope of y = 3 slope of x = 3

The quantity in Column A is greater.
The quantity in Column B is greater.
The two quantities are equal.
The relationship cannot be determined on the basis of the information supplied.

Keep in mind that one is talking about the slope of y and one is about the slope of x. One has no slope and one has an undefined slope. So is it D? Does anyone know the answer to this question?

Answers

Compare the quantity in Column A with the quantity in Column B.

Column A Column B, The two quantities are equal.

What is the slope?

Generally, the surface that has one end or side that is higher than the other (or vice versa); is a surface that slopes up or down.

In conclusion, Compare the number in Column A with the number in Column B.

The two amounts are identical in Columns A and B.

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If 24 marbles have a mass of 60g, what would the mass of 60 marbles be?

Answers

If 24 marbles have a mass of 60 g, then each marble has a mass of [tex]60/24=2.5 \text{ g}[/tex].

So, 60 marbles have a mass of 60(2.5)=150 g

Answer:

150 g

Step-by-step explanation:

24 marbles = 60 g

1 marble = 60÷24 = 2.5 g

60 marbles = 2.5 × 60 = 150 g

Hope this helped and have a good day  

how many triangles are in a 18 sided polygon

Answers

Answer:

18

Step-by-step explanation:

how many triangles are in a 18 sided polygon

An 18 sided polygon, sometimes also called an octakaidecagon, it has 18 sides and therefore is made up of 18 triangles and has 18 vertices.

(look at the picture)

Hey y’all I need this answer quickly!!!

3/4 - 1/5

Answers

Answer:

[tex]\sf \dfrac{11}{20} \quad or \quad 0.55[/tex]

Explanation:

[tex]\rightarrow \sf \dfrac{3}{4} - \dfrac{1}{5}[/tex]

make the denominators same by lcm

[tex]\rightarrow \sf \dfrac{5(3)}{20} - \dfrac{4(1)}{20}[/tex]

expand the following

[tex]\rightarrow \sf \dfrac{15}{20} - \dfrac{4}{20}[/tex]

Join the fractions together

[tex]\rightarrow \sf \dfrac{15-4}{20}[/tex]

Subtract the integers

[tex]\rightarrow \sf \dfrac{11}{20} \quad or \quad 0.55[/tex]

Answer:

11/20 or 0 whole 11/20 or 0.55

Step-by-step explanation:

[tex]3/4 - 1/5[/tex]

Find the least common multiple (LCM) of 4 and 5 at first:

We can't do the LCM of 5 and 4,so just multiply them, 5*4 = 20

Now,

For 3/4 : divide 20 by 4,then multiply the result by 3.For 1/5 : divide 20 by 4, then multiply the result by 1. Simple!

[tex] \cfrac{15 - 4}{20} [/tex]

Subtracting the numerators,

[tex] \boxed{\cfrac{11}{20} }[/tex]

As a whole number:

[tex]\boxed{0 \cfrac{11}{20} }[/tex]

As a decimal:

[tex]\boxed{0.55 }[/tex]

10. A In the adjoining Figure, ab is perpendicular to bc and ed is to cd while bc=cd . prove i) triangle abc is corresponding to triangle edc
ii)ab = cd

Answers

Part (i)

1) AB is perpendicular to BC, ED is perpendicular to CD, BC = CD (given)

2) Angles ABC and CDE are right angles (perpendicular lines form right angles)

3) Angles ABC and CDE are equal (all right angles are equal)

4) Angles ACB and DCE are equal (vertical angles are equal)

5) Triangles ABC and EDC are congruent (ASA)

Part (ii)

6) AB = DE (corresponding parts of congruent triangles are equal)

can someone help me with this ??
Order the following numbers from least to greatest.

Answers

According to the given values, the numbers from least to greatest is ∛64, 4.222.. √19

Descending and ascending order

Ordering a sequence of number from least to greatest is known as the ascending order of magnitude

Given the following parameters

∛64, √19 and 4.222...

The cube root of 64 is 4

The square root of 19 is 4.36

While the repeating decimal 4.2. can be 4.2222...

Ordering from least to greatest is 4, 4.2222, 4.36

According to the given values, the numbers from least to greatest is ∛64, 4.222.. √19

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What is the factored form of 50x^2-8

Answers

Answer:

2(5x-2)(5x+2)

Step-by-step explanation:

You have 200$ allocated for your gym membership. what is the maximum number of visits you can make with each membership??

Answers

The maximum number of visits you can make with each membership is 104.

What is gym membership?

Gym membership refers to the cost to register, attend, and use a gym as a member for an agreed period.

Some gym memberships require one-time payments made monthly or annually.

Question Completion:

Assume that the annual gym fee is $200 for Saturdays and Sundays only.

Thus, in this scenario, the maximum number of visits you can make with each membership is 104.

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Select the correct answer from each drop-down menu. polygon abcde has the vertices a(2, 8), b(4, 12), c(10, 12), d(8, 8), and e(6, 6). polygon mnopq has the vertices m(-2, 8), n(-4, 12), o(-10, 12), p(-8, 8), and q(-6, 6). a transformation or sequence of transformations that can be performed on polygon abcde to show that it is congruent to polygon mnopq is a . if polygon mnopq is translated 3 units right and 5 units down, it will coincide with a congruent polygon, vwxyz, with its vertices at

Answers

1). Option C

2). Option A

What is Polygon?

Polygon is given as a closed two-dimensional figure with three or more straight lines.

The given vertices of polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8) and E(6, 6)

After reflection new polygon formed MNOPQ has the vertices M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8) and Q(-6, 6).

By comparing the vertices we find the x-coordinates of polygon ABCDE have been changed to MNOPQ by negative notation only. Y- coordinates are same.

Therefore, polygon ABCDE has been reflected across the y-axis.

Option C. is the answer.

If polygon MNOPQ is translated 3 units right and 5 units down then the new vertices of congruent polygon VWXYZ will be

M(-2, 8) = [(-2 - 3), (8 + 5)] = (-5, 13)

N(-4, 12) = [(-4 - 3), (12 + 5)] = (-7, 17)

O(-10, 12) = [(-10 - 3),(12 + 5)] = (-13, 17)

P(-8, 8) = [(-8 - 3), (8 + 5)] = (-11, 13)

Q(-6, 6) = [(-6 -3),(6 + 5)] = (-9, 11)

Thus, Option A. is the correct option.

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Answer:

Step-by-step explanation:

the

Translate the algebraic expression below into a written expression.
5x ^ 3 + 2x ^ 2 - 9

A. five times X cubed plus two times X squared plus nine

B. five times X cubed and two times X squared minus nine

C. five times X squared plus two times X cubed minus nine

D. the sum of five times X squared and two times X cubed minus nine

Answers

Answer:

B

Step-by-step explanation:

five times x cubed plus/and two times x squared minus nine.

Find the nth term of
this quadratic sequence
4, 7, 12, 19, 28, … what is the nth term

Answers

Answer:

[tex]n {}^{2} + 3[/tex]

Hii! I need some help, would anyone mind helping me?
Find the center of this hyperbola.
[tex]\boldsymbol{x^2-25y^2-14x+100y-76=0}[/tex]
[tex]\stackrel\bigstar{\boldsymbol{\underbrace{Thankyou!!}}}[/tex]

Answers

Step-by-step explanation:

[tex] {x}^{2} - 14x - 25 {y}^{2} + 100y = 76[/tex]

Factor by grouping,

[tex]( {x}^{2} - 14x) - (25 {y}^{2} - 100y) = 76[/tex]

Complete the square, with the x variables,

[tex]( {x}^{2} - 14x + 49) - (25 {y}^{2} - 100y) = 125[/tex]

Factor out 25 for the y variables

[tex]( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y) = 125[/tex]

Complete the square

[tex]( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y + 4) = 25[/tex]

Simplify the perfect square trinomial

[tex](x - 7) {}^{2} - 25(y - 2) {}^{2} = 25[/tex]

Make the right side be 1 so divide everything by 25.

[tex] \frac{(x - 7) {}^{2} }{25} - (y - 2) {}^{2} = 1[/tex]

Here our center is (7,2).

4. Fill in the blanks for the following proof:

Answers

Answer:

Step-by-step explanation:

Could these triangles be congruent? yes, if ab ≅ de yes, if bc = 7 yes, if ab ≅ ef no, because the hypotenuses must have different lengths

Answers

Yes, the triangles are congruent if AB ≅ DE.

Criteria for the Congruency of two Triangles

If two triangles share the same sides and angles, they are said to be congruent triangles.

Triangles are tested for congruence using the following 4 criteria:

1) Angle-side-angle(ASA): Two angles and a side of a triangle are congruent if they are equal to two angles and the corresponding side of another triangle.

2) Side-side-side(SSS): Two triangles make congruent triangles if all three sides of one triangle are equal to three sides of another.

3) Side angle side(SAS): A triangle is congruent if its two sides and any included angles are equivalent to those of another triangle's two sides and corresponding angle.

4) Hypotenuse - leg(HL): If a triangle's hypotenuse and one of its legs are equal, then the triangle's hypotenuse and leg are also equal.

Checking for Congruency in the Given Triangles

ΔDEF and ABC have a equal angles, ∠F=∠B, as well as a pair of equal sides,  DF = AC.

Thus, in order to satisfy the SAS criterion of congruent triangles, AB = DE

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Answer:

(D) no, because the hypotenuses must have different lengths

Step-by-step explanation:

Please help me with my math

Answers

Answer:

x = 120

y = 21

Step-by-step explanation:

Since j and k are parallel, the sum of x and 60 would be 180 because they are supplementary:

x + 60 = 180 subtract 60 from both sides

x = 120

The measure of x and (4y+36) is equal because they are alternate angles since the horizontal lines are also stated as parallel:

we know x = 120 so

120 = 4y + 36 subtract 36 from both sides

84 = 4y divide both sides by 4

21 = y

Which inequality describes the acceptable weights for the suitcase?
x≤ 32.5 or x ≤ 47.5
32.52x2 47.5
x≤ 32.5 or x ≥ 47.5
32.5 ≤ x ≤ 47.5

Answers

Based on the given options, the inequality for the acceptable weights of the suitcase is 32.5 ≤ x ≤ 47.5.

What is the acceptable weight for the suitcase?

You didn't include the full question but this question can be answered based on the given options.

When inequalities are written, there is no inclusion of "or" which eliminates options A and C.

It is illogical to have an inequality as 32.5 ≥ x ≥ 47.5. This is because if 32.5 is larger or equal to x, then x cannot be larger than 47.5. This is mathematically impossible.

This leaves the likely answer as 32.5 ≤ x ≤ 47.5 which means that the weight of the suitcase has to be larger than or equal to 32.5 but less than or equal to 47.5.

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Answer:

32.5 ≤ x ≤ 47.5

Step-by-step explanation:

HELP FACTORISE ITS DUE IN TODAY PPLEASE

Answers

Answer:

ab(7a+b-2)

Step-by-step explanation:

see the common and take out the common parr

Answer:

its all about the formula =

(a+b)2 =a2 +2ab=b2

Step-by-step explanation:

a sign at the summit of a mountain pass says that the grade for the next 5 miles of straight driving is 4.2 degrees. Determine the change of elevation in feet for a car at the end of the 5 mile drive

Answers

Using the slope concept, it is found that the change of elevation for a car at the end of the 5 mile drive is of 0.3672 miles.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we have that:

The vertical change is the change of elevation.The horizontal change is of 5 miles.The angle is of 4.2º.

Hence:

tan(4.2º) = h/5

h = 5 x tan(4.2º)

h = 0.3672.

The change of elevation for a car at the end of the 5 mile drive is of 0.3672 miles.

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Which of the following expressions are equivalent to - -13/12

A. -13/-12

B. 13/-12

C. None of the above

Answers

If is -(-13/12) then A. -13/-12

If is -13/12 then B. 13/-12

[tex]-\dfrac{-13}{12}=\dfrac{-13}{-12}=\dfrac{13}{12}\\\\\dfrac{-13}{12}=-\dfrac{13}{12}=\dfrac{13}{-12}[/tex]

What is the factored form for the quadratic function below?
y = x² + 9x + 8
Oy=(x-9)(x - 1)
Oy=(x-8)(x - 1)
Oy= (x + 9) (x + 1)
Oy= (x + 8) (x + 1)

Answers

Answer:

D. y = (x + 8) (x + 1)

Explanation:

[tex]\sf y = x^2 + 9x + 8[/tex]

[tex]\rightarrow \sf y = x^2 + 9x + 8[/tex]

middle term split

[tex]\rightarrow \sf y = x^2 + 8x +x + 8[/tex]

factor the common terms

[tex]\rightarrow \sf y = x(x + 8) + 1(x + 8)[/tex]

collect into groups

[tex]\rightarrow \sf y = (x + 1)(x + 8)[/tex]

y=x²+9x+8y=x²+8x+x+8y=x(x+8)+1(x+8)y=(x+1)(x+8)

Option D

A restaurant offers a​ $12 dinner special that has choices for an​ appetizer, choices for an​ entrée, and choices for a dessert. How many different meals are available when you select an​ appetizer, an​ entrée, and a​ dessert?.

Answers

Answer:

4 is my answer:))))) maybe this will help

Answer:

1

Step-by-step explanation:

it depends on how many choices there are

If there is 1 choice for an appetizer, 1 choice for an entrée, and 1 choice for a dessert

(1 * 1 * 1 = 1)

then there is 1 meal choice

If there are 7 choices of appetizers, 12 choices of entrée, and 6 choices of dessert.

(7 * 12 * 6 = 504)

then there are 504 different options

If there are 5 choices for an appetizer, 12 choices for an entrée, and 3 choices for a dessert

(5 * 12 * 3 = 180)

then there are 180 options

12 choices for entrées, 10 choices for side dishes, and 6 choices for dessert

(12 * 10 * 6 = 3240)

then there are 3240 meal options

you have to multiply the number of entrées (e), meals (m), and desserts (d)

e * m * d = x

you are solving for x, which is the different meals available aka your answer.

so plug in the numbers and that should give you the answer!

hope this helps:)

Quadrilateral VWXY is a parallelogram. Find the measure of V

Answers

Answer: B) 120°

Step-by-Step Solution:

In a Parallelogram, adjacent or consecutive angles are Supplementary.
In the given figure, ∠V + ∠Y = 180°

Therefore,

∠V + ∠Y = 180°
∠V + 60° = 180°
∠V = 180° - 60°
=> ∠V = 120°

Therefore, ∠V = 120°

Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the point (−3, 0).



Use the polygon tool to graph the dilated figure.

(See attached image for details.)

Answers

The vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)

How to graph the dilated image?

The given parameters are:

Center, (a, b) = (-3, 0)

Scale factor, k = 1/2

The vertices of the figure are

(5,4), (-5, 4) and (3,8)

The rule of dilation is represented as:

(x, y) ⇒ (k(x -a), k(y -b))

So, we have:

Point (5,4)

(x, y) ⇒ (1/2(5 + 3), 1/2(4 -0))

(x, y) ⇒ (4, 2)

Point (-5,4)

(x, y) ⇒ (1/2(-5 + 3), 1/2(4 -0))

(x, y) ⇒ (-1, 2)

Point (3,8)

(x, y) ⇒ (1/2(3 + 3), 1/2(8 -0))

(x, y) ⇒ (3, 4)

So, the vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)

See attachment for the image

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If f(x)=2x² +5√(x-2), complete the following statement:

The domain for f(x) is all real numbers ____ than or equal to 2.

Free Response:

Answers

By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.

How to determine the domain of a function with radical components

Domain is the set of x-values such that the value of the function exists. By algebra we know that the domain of polynomials is the set of all real numbers, whereas the domain of radical functions is the set of x-values such that y ≥ 0. If we know that f(x) = 2 · x² + 5 · √(x - 2), then the domain is restricted by the radical component and defined by x ≥ 2.

By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.

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solve 3(10)^x = 30,000

Answers

Answer: x = 4

Step-by-step explanation:

We will need to use logs here...

First divide each side by 3

[tex]3(10)^x=30000[/tex]

[tex]10^x=10000[/tex]

Then take the log of each side

Keep in mind that [tex]log_{10} (10)[/tex] gets canceled out to leave x

[tex]log_{10} (10^x)=log(10000)[/tex]

Finally, log(10000) = 4 because [tex]10^4=10000[/tex]

[tex]x = 4[/tex]

Try to get x isolated on one side.
Divide by 3 on both sides.
(10)^x = 10,000
Count how many zeroes there are in the number 10,000. There are 4 zeroes, therefore 10 was raised to the 4th power to get to 10,000.
That means “x” is 4. Hope this helps :)
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