One number is 6 more than another. Twice the larger number is 5 times the smaller. Which is the smaller number?

Answers

Answer 1

Answer:

4

Step-by-step explanation:

do the math plug it in

4 + 6 = 10,

10 x 2 = 20

20/5 = 4

Answer 2

The value of the smaller number is 4.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's start by translating the given information into equations.

We can use variables to represent the two numbers, and use the given information to write equations in terms of those variables.

Let x be the smaller number.

Then the larger number is 6 more than x, which we can write as (x + 6).

Twice the larger number is 5 times the smaller, which we can write as:

2(x + 6) = 5x

Now we can solve for x:

2x + 12 = 5x

Subtracting 2x from both sides, we get:

12 = 3x

Dividing both sides by 3, we get:

x = 4

Therefore,

The smaller number is 4.

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Related Questions

Pls help mw with this​

Answers

A I think I’m not really sure

Which point is the vertex of the angle below?

Answers

Answer:

C. F.

Step-by-step explanation:

The vertex is the point at which the lines that define the angle's amplitude meet.

In this case, they meet in point F.

Answer:

F

Step-by-step explanation:

A bag contains 12 red checkers and 6 black checkers. You will randomly select two checkers, one at a time, without replacement.


Fill in the probabilities on each branch of the tree diagram below. Write the probabilities as fractions in simplified form.

Answers

b) you could choose :

red, black

black, red

red, red

c) p(black, red) = (6/18)(12/17) = 72/306 = 4/17

4. A swimming pool has a length that is 13 feet more than its width. If the area of
the pool is 608 feet squared, find the length of the pool.

Answers

Answer:

Step-by-step explanation:

32

i did this

The length of a rectangle is six times its width. If the perimeter of the rectangle is 126cm , find its area.

Answers

Answer:

The area = 486 cm^2

The length is 54 cm and the width is 9 cm

54 times 9 = 486

A rectangle is transformed according to the rule Ro. 900. The image of the rectangle has vertices located at R'(4,4), S (4,1),
P(-3, 1), and Q'(-3, 4). What is the location of Q?
(4, -3)
(-3,-4)
(3,4)
(4,3)
0

Answers

The location of the point Q is  (4,3)

How to determine the location of Q?

The coordinates are given as:

R'(4,4), S (4,1), P(-3, 1), and Q'(-3, 4)

The transformation rule is given as:

90 degrees counterclockwise

The above rule is represented as:

(x,y) -> (-y,x)

So, we have:

(x,y) -> (-3,4)

Solve for x and y

(x,y) = (4,3)

Hence, the location of the point Q is  (4,3)

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HELP! Which shapes are decomposed correctly so that it could be used to to find its area? Assume side lengths are known.

Answers

Answer:

Step-by-step explanation:

c

Answer:

b a d ;) just not c

Step-by-step explanation:


The height of a right circular cone is multiplied by 4, but its radius remains fixed. By what factor will the volume of the cone be multiplied?
A. 1/4
B. 4
C. 8
D. 16

Answers

Answer:

B

Step-by-step explanation:

Because the height is only used once (not squared) in the cone volume formula, the volume is only multiplied by 4.

The volume of the right circular cone must be multiplied by 4.

The correct answer is option (B). 4

What is the volume of the right circular cone?

[tex]V=\frac{1}{3}\times \pi \times r^{2} \times h[/tex], where 'r' is the radius of circular base and 'h' is the height of the right circular cone.

For given example,

The height of the right circular cone is multiplied by 4, but its radius remains fixed.

From the formula of the volume of the right circular cone,

[tex]V\propto h[/tex]

This means,  as height of the cone increases, the volume of the cone increases at the same rate.

As the height of a right circular cone is multiplied by 4, the volume of the cone must be multiplied by factor 4.

Therefore, the correct answer is option (B). 4

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The admission fee at a local zoo is $1.50 for children and $4.00 for adults. On a certain day, 2300 people enter the zoo and $7,450.00

is collected. How many children and how many adults attended?

Answers

Answer:

700 children and 1600 adults.

Step-by-step explanation:

Given:

The admission fee at a local zoo is $1.50 for children and $4.00 for adults.

On a certain day, 2300 people enter the zoo and $7,450.00 is collected.

Question asked:

How many children and how many adults attended?

Solution:

Let number of children enter the zoo = [tex]x[/tex]

Then number of adults enter the zoo = [tex]2300-x[/tex]

Total collection =  $7,450

Collection from children + Collection from adults = 7450

[tex]1.50\times x+4(2300-x)=7450\\ \\[/tex]

[tex]1.5x+9200-4x=7450\\ \\ 2.5x+9200=7450\\ \\[/tex]

Subtracting both sides by 9200

[tex]-2.5x+9200-9200= 7450-9200[/tex]

[tex]-2.5x=-1750[/tex]

Minus is canceled by minus.

[tex]2.5x=1750[/tex]

Dividing both sides 2.5

[tex]x=700[/tex]

Number of children enter the zoo = [tex]x[/tex] = 700

Number of adults enter the zoo = [tex]2300-x[/tex] = 2300 - 700 = 1600

Thus, 700 children and 1600 adults attended the local zoo on that day.

Match the equivalent expressions.
4x + 4x + 4x + 4x

Answers

The answer is 16x because you just pair them together
the answer is 16x, you have to combine like terms

Pleaseee helpppppp !

Answers

Answer:

122

Step-by-step explanation:

Inscribed Angles measure 1/2 of the central angle, using this:

61*2 = 122

name a pair of complementary angles

Answers

A complementary angle is an angle that makes 90°.

By looking at the picture, we can infer that
Have a good day :)

I need help. I will give 100pts. Reese simplified this expression. What error did he make?

(10m^(3)n^(5))/(5mn^(2))=(10(mn)^(8))/(5(mn)^(2))=2(mn)^(6)

He did not make an error because 2(mn)6 is correct.


He did not divide by 5mn2.


He used a law of exponents on factors with different bases.


He should have divided the exponents for a final answer of 2(mn)4.

Answers

Answer:

Correct answer is C, He used a law of exponents on factors with different bases.

Step-by-step explanation:

Hope this help :)

Answer:

5 * (2m + n)

Step-by-step explanation:

10m2 - 5mn - 5n2

Simplify   ————————————————

                m - n  

The answer please? I’ve been stuck on it for a while

Answers

182
If you do the work you will get that lol

An unloaded truck can travel 689 kilometers (km) in 5 hours. If
the truck is loaded with fruit instead, it can travel 144 fewer
kilometers within the same time. What is the speed for the
truck loaded with fruit?
____km/h

Answers

Answer: 109 km/h

Step-by-step explanation:

Hi to answer this question we have to divide the distance traveled by the truck loaded with fruit (689-144) by the time that it took. (5)

Kilometers within the same time

Mathematically speaking:

(689-144)kilometers /5 hours = 109 km/h

Feel free to ask for more if needed or if you did not understand something.

If a square has a side (s) length of 7 feet. What would the Area (A) of the
square be? *

Answers

Answer:

the area would be 7x7x7= 343 would be the answer length times width times height

please please please mark brainliest

Step-by-step explanation:

Answer:

49 square feet

Step-by-step explanation:

length, l = 7 feet

Area of the square, A = l^2

Slot in the value of l

= 7^2

= 49 square feet

Need help ASAP!!!!!!

Consider the graph of Angle BAC below.

Suppose angle BAC is reflected over the y-axis. What are the coordinates of angles B’A’C’?

Answers

Answer:

Point B would be 6 A would be 5 and C would be 3

basically, when you reflect something on a graph, its just going to be the same number of points but on the other side of the graph,

so bc you started with -6, when you reflect it you get 6, and so on

Which is the completely factored form of 4x2 + 28x + 49?
O
(x + 7)(4x + 7)
4(x + 7)(x + 7)
(2x + 7)(2x + 7)
2(x+7)(x + 7)
.

Answers

Answer:

(2x + 7)(2x + 7)

Step-by-step explanation:

[tex]4 {x}^{2} + 28x + 49 \\ = 4 {x}^{2} + 14x + 14x + 49 \\ = 2x(2x + 7) + 7(2x + 7) \\ = (2x + 7)(2x + 7)[/tex]

Answer:

3) (2x+7)(2x+7)

Step-by-step explanation:

FOIL (first, outer, inner, last) it back out, you get 4x^2 + 14x + 14x + 49 which simplifies to the original.

Tammy made a bracelet using red, white, and blue string. The red string is 2.4 centimeters long, the white string is 2.1 centimeters long, and the blue string is 2.6 centimeters long. What is the total length of the three strings? a.) 7.1 cm c.) 5.5 cm b.) 6.1 cm d.) 4.27 cm

Answers

Answer:

2.4cm

+

2.1cm

+

2.6cm

=7.1cm

There are 100 applicants applying for three equal cosmetology positions. How many different groups of
three can be selected to fill the positions?

Answers

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The number of different groups of three people that can be selected to fill the positions is 970,200.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that there are 100 applicants applying for three equal cosmetology positions.

Now, if a person takes up a position the same person can not take the other position, therefore, only 99 people will be left for the second position.

The same will happen with the third position, therefore, there will be only 98 people that can take the third position.

Therefore, the number of different groups of three people that can be selected to fill the positions is,

Number of different groups

= Number of applications to feel the first position × Number of applications to feel the second position × Number of applications to feel the third position

= 100 × 99 × 98

= 970,200

Hence, the number of different groups of three people that can be selected to fill the positions is 970,200.

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Gabrielle is cutting a triangular sign with a base of 8 inches. The perpendicular distance from the base of the sign to its vertex is 9 inches. What is the area of the sign?

Answers

The area of the triangular sign is 36 square inches, if Gabrielle is cutting a triangular sign with a base of 8 inches and the perpendicular distance from the base of the sign to its vertex is 9 inches.

Step-by-step explanation:

The given is,

                    Gabrielle is cutting a triangular sign

                     Base of 8 inches

                     The perpendicular distance from the base of the sign to its vertex is 9 inches

Step:1

             Formula for area of triangle is,

                                               Area, [tex]A = \frac{bh}{2}[/tex].....................................(1)

            Where, b - Base of triangle

                         h -  Height of triangle

            From given value,

                             b - 8 inches

                             h - 9

           Equation (1) becomes,

                                                         [tex]A = \frac{(8)(9)}{2}[/tex]      

                                                             [tex]=\frac{72}{2}[/tex]          

                                                             = 36

                     Area of triangle sign, A = 36 square inches

Result:

             The area of the triangular sign is 36 square inches, if Gabrielle is cutting a triangular sign with a base of 8 inches and the perpendicular distance from the base of the sign to its vertex is 9 inches.

Answer:

36 in squared

Step-by-step explanation:

Simplify:2(x2 + 5) − 3(x + 1) + 3
A) x2 − 3x + 10
B) 2x2 − 3x + 10
C) −2x2 − 3x + 10
D) 2x2 − 3x − + 13

Answers

Step-by-step explanation:

2x2 + 10 - 3x - 3 + 3

Solving like terms

2x2 - 3x + 10

Option B is the correct answer

Answer:

2x2 + 10 - 3x - 3 + 3

Step-by-step explanation:

2x2 + 10 - 3x - 3 + 3

Simplify: –3(y + 2)^2 – 5 + 6y

Answers

the answer is -3y^2-6y-17
I got the same answer as that person^^

Can someone who will answer this question please answer this

Answers

Answer:

CBD=63

Step-by-step explanation:

Since ABD is the total angle which contains CBD and ABC, ABC+CBD=96. With this, you can set up an equation.

6x+27+7x-9=96

13x+18=96

13x=78

x=6

6x+27=6(6)+27=36+27=63 degrees. Hope this helps!

I don’t know how to find the value.

Answers

Answer:

x=20

Step-by-step explanation:

The angles are vertical angles, which means they are equal

2x+20 = 60

Subtract 20 from each side

2x+20-20 = 60-20

2x = 40

Divide each side by 2

2x/2 = 40/2

x =20

Answer:

x=20. C.

Step-by-step explanation:

You see, 2x plus 20 and 60 are vertical angles. They are angles that go head to head. Vertical angles are also congruent, so if they are congruent you can write an equation, 2x+20=60. Solve for x, minus both sides by 20, and you get 2x=40. Divide both sides by 2 and you get x=20. Hope this helps!

. A stadium sold 33,300 tickets to a concert. Which statement about this number is true?

a
The value of the digit in the tens place is 10 times the value of the digit in the hundreds place.
b
The value of the digit in the thousands place is 1/10 the value of the digit in the ten thousands place.
c
The value of the digit in the hundreds place is 10 times the value of the digit in the thousands place.
d
The value of the digit in the ten thousand place is 1/10 the value of the digit in the hundreds place.

Answers

Answer: D ; The value of the digit in the ten thousand place is 1/10 the value of the digit in the hundreds place.

The true statement is The value of the digit in the ten thousand place is 1/10 the value of the digit in the hundreds place.

What is data?

Data is information that has been translated into a form that is efficient for movement or processing.

Given statement:

A stadium sold 33,300 tickets to a concert.

As, per the given number we can see that  the digit in the ten thousand place is 1/10 the value of the digit in the hundreds place.

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Solve the system by graphing. Where necessary, indicate when the system has no solution or infinitely many solutions.
y = 2x + 1
y = 2x - 5
A. (1,-3)
B. (-2,-1)
C. (2,0)
D. no solution

Answers

Answer:

(D)

Step-by-step explanation:

When graphed, the lines do not cross at any point.  There is a picture of this below.

The system has no solution.

Answer:

D. No Solution

Step-by-step explanation:

Both lines have a slope of 2x so that means they are parallel and will never cross

Find the surface area and volume. Answer SA = ____, V= _______

Answers

Answer:

SA = 251.33 yd ^2

V = 301.59 yd ^3

Step-by-step explanation:

Right cylinder   2π  = 6.28318530718

Solve for surface area

A =2πrh+2πr2  = 24 x 2π + 2π x 16

A =150.796447372 + 100.530964915

A ≈251.33 yd^2

Right cylinder π = 3.14159265359

Solve for volume

V = πr2h = 16 x 6 = 96π

V = 3.14159265359 x 96

V = 301.592894745

V= 301.59 yd ^3

Jillian plans a pillow pattern before sewing. The parallelogram in the center of the pattern has a base length of 9 inches and a
height of 7 inches. She needs to find the area of the fabric surrounding the parallelogram pattern. Which statements below should
she apply when solving this problem? Check all that apply.

Answers

Answer:

The area surrounding the parallelogram can be found by subtracting 63 from 128

Step-by-step explanation:

Parallelograms can be said to be shapes which has four sides including two pairs of sides that are parallel and the four shapes are square, rectangle, rhombus, and rhomboid. Although rhombus is said to look exactly like a slanted square, while rhomboid is said to looks like a slanted rectangle.

Therefore when solving the problem she should apply the area surrounding the parallelogram which can be found by subtracting 63 from 128 since

She needs to find the area of the fabric surrounding the parallelogram pattern.

Answer:

B, C, E

Step-by-step explanation:

On e2020

B-The area of the parallelogram is (9) (7) = 63.

C-The total area of the block is 128 square inches.

E-The area surrounding the parallelogram can be found by subtracting 63 from 128.  

Which is greater,-2 4/9 or -2.25

Answers

Answer: -2.25

Step-by-step explanation:

-2 4/9 or -2.25

Convert this to decimal

-2 4/9

4/9=0.4444

Add to the 2

-2.4444

-2.444 or -2.25

In negative rule,the lower the value,the greater the number

Therefore,

-2.25 is greater than -2.444

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