One number is 3 1/3 larger than the other. The tripled sum of these numbers is 133.What is the largest number?

Answers

Answer 1

Let denote the two numbers with X and Y. n represent one number

Y=X + 3 1/3

The sum of the two numbers is: X+Y=X + X + 3 1/3

The triple sum is: 3(X + X + 3 1/3)

3(X + X + 3 1/3) = 133

3X + 3X + 10 = 133            

6X + 10 = 133                    

6X = 123                            

X = 12 1/2                  , Y= X+ 3 1/3 =  12 1/2 = 3 1/3 is the largest number

Answer 2

Answer:

[tex]23\frac{5}{6}[/tex]

Step-by-step explanation:

Let x be the smaller number,

Thus, according to the question,

Second number or larger number = [tex]x+ 3\frac{1}{3}[/tex]

Now, sum of these number = [tex]x+x+ 3\frac{1}{3}=2x+\frac{10}{3}[/tex]

Again according to the question,

[tex]3\times ( 2x + \frac{10}{3})= 133[/tex]

[tex]6x + 10 = 133[/tex]

[tex]6x = 123[/tex]

[tex]\implies x = \frac{123}{6}[/tex]

Thus, the larger number = [tex]\frac{123}{6}+3\frac{1}{3}=\frac{123}{6}+\frac{10}{3}=\frac{123+20}{6}=\frac{143}{6}=23\frac{5}{6}[/tex]


Related Questions

Change the number 43,456 to its word name.

A. Four hundred thirty-four hundred and fifty six
B. Forty-three thousand, four hundred fifty six
C. Four hundred three thousand, four hundred fifty six
D. Forty-three thousand, four fifty six

Answers

Answer:

B

Step-by-step explanation:


Show work plz
Tina bought two pairs of regular socks and one pair of long fleece socks .The fleece socks cost $12.If the final price ,including 5% sales tax ,was $30.45,what was the price of each pair of regular socks?

Answers

So first we need to get rid of that naughty sales tax so we need to divide 30.45 by 1.05 since 30.45 is 105% of the pre-tax price. We get the answer of 29 and subtract 12 from 29 since the long fleece socks cost 12 bucks and we get 17 dollars. Since there are 2 pairs of regular songs we divide 17 by 2 and get 8.5

So the regular socks cost $8.50

Checking work 8.5*2=17
12+17=29
1.05*29=30.45

If u need more help feel free to ask me

Since the slope of a vertical line is undefined, is it possible for vertical lines to be parallel.(Explain)

Answers

Yes the slope of a vertical line is parallel.

Parallel lines never intersect each other.

Y-axis is a vertical axis cartesian coordinate plane.

All vertical lines would be parallel to y-axis.

Because all vertical lines would have same slope, that is undefined slope.

Therefore, all vertical lines would be parallel lines.

So, we can finally say that it is possible for vertical lines to be parallel.

Insert either < or > between the pair of numbers to make a true statement.

Answers

the square root of 2 is 1.4

So √2 < 1.9

✓2 is 1.41421....
✓2<1.9

Nita wants to buy a new keyboard for her computer. She will buy the keyboard when it is on sale for under $50 Write an inequality that describes k, the price in dollars at which Nita will buy the keyboard

Answers

This would be k < 50.

This inequality states that k, the price at which Nita wants to buy the new keyboard, is less than 50 dollars.

Answer:

0 ≤ k ≤ 50

Step-by-step explanation:

Here k represents the price of the keyboard ( in dollars ),

Given,

Nita will buy the keyboard,

If the price of the keyboard is under $ 50,

That is,  [tex]k \leq 50[/tex]

Also, the price can not be negative,

⇒ [tex]0 \leq k[/tex]

Hence, the required inequality is,

[tex]0 \leq k \leq 50[/tex]

An engineer designing a ramp in a football stadium was told to keep the slope to a ratio of 1:10. The ramp height is 25 ft. What is the Ideal Mechanical Advantage of the ramp? (Its 10.05, but how do I solve it?)

Answers

we know that

To calculate the ideal mechanical advantage for an inclined plane, divide the length of the incline by the height of the incline

Step 1

Find the horizontal distance of the ramp

we know that

the ramp has a slope of [tex]1:10[/tex]

so

by proportion

[tex]\frac{1}{10} \frac{height}{long} =\frac{25}{x} \frac{height}{long} \\ \\x=25*10 \\ \\ x=250\ ft[/tex]

Step 2

Find the length of the incline of the ramp

Applying the Pythagorean Theorem

[tex]incline^{2}=height^{2}+horizontal^{2}[/tex]

substitute the values

[tex]incline^{2}=25^{2}+250^{2}[/tex]

[tex]incline^{2}=63,125[/tex]

[tex]incline=251.25\ ft[/tex]

Step 3

Find the ideal mechanical advantage

[tex]Ideal\ Mechanical\ Advantage=\frac{incline}{height}[/tex]

substitute the values

[tex]Ideal\ Mechanical\ Advantage=\frac{251.25}{25}=10.05[/tex]

therefore

the answer is

the Ideal Mechanical Advantage of the ramp is [tex]10.05[/tex]

stans cookie recipe makes 24 cookies and calls for exactly 384 sprinkles. he is wondering how many sprinkles (p) he will need to make 60 cookies. he assumes each cookie will have the same number of sprinkles. how many sprinkles does stan need to make 60 cookies

Answers

Answer:

960 sprinkles

Step-by-step explanation:

If 24 cookies call for EXACTLY 384 sprinkles, then 16 sprinkles fit on each cookie. 384/24 = 16

If 16 sprinkles fit on each cookie, 16 cookies on 60 cookies would be 960.

60 x 16 = 960

Answer:

Its 960

Step-by-step explanation:

I did it on khan academy, and got it right!

Least to greatest ordering integers

Answers

Answer:

5, 19, 24, 46, 77, 98

Step-by-step explanation:

Just write the numbers in order (I am assuming from least to greatest).  You can use a number line if necessary.



Mariana wears her winter coat when the temperature is colder than − 4 C . Write an inequality that is true only for temperatures ( t ) at which Mariana wears her winter coat.

Answers

t<-4

Mariana only wears her coat when it is colder than -4 so t must be less than -4.

Answer: t < -4

Step-by-step explanation:

We want to represent temperatures colder than -4 C

In mathematical terms, we want to represent temperatures less than -4 C

t < -4

Simplify 5 - 2 · 3 + 4.

Answers

Using the order of operation you would multiply first so

2 · 3 = 6

5 - 6 + 4 then we would subtract

5 - 6 = -1

-1 + 4 = 3 as your answer.

5−(2)(3)+4=3

Answer: 3

Step-by-step explanation: By using the order of operations,

2 x 3 = 6

5 - 6 = -1

-1 + 4 = 3

Therefore, 3 will be the correct answer for this problem! <3

solve for r. P=r+t+s

Answers

P = r + t + s

Subtract t from both sides.

P - t = r + s

Subtract s from both sides.

P - t - s = r is the equation that allows you to solve for the value of r if you know all the other values.


2b+4=-18-9b ; solving equations with variables on both sides

Answers

To solve this, first add -9b on both sides of the equation to get the variable on only one side of the equation.

2b+4=-18-9b

2b+9b+4=-18-9b+9b

11b+4=-18

Then subtract 4 from both sides of the equation.

11b+4=-18

11b+4-4=-18-4

11b=-22

Divide 11 on both sides of the equation to find the values of b.

[tex]\frac{11b}{11}[/tex]=[tex]\frac{-22}{11}[/tex]

b=-2

John earns $437 a week after a 15% pay rise. What was his pay initially? Round your answer to the nearest dollar. Do not include the dollar sign in your answer. For example, if your answer is $200.10, enter 200.

Answers

The answer to this question is 380

Answer:

380 dollar.

Step-by-step explanation:

John earns $437 a week after a 15% pay rise.

Let the initially pay of John be x

x + (15% of x) = 437

x + 0.15x = 437

1.15x = 437

x = [tex]\frac{437}{1.15}[/tex]

x = 380

Initially his pay was 380 dollar.

what is the answer to 2x-3y=11 2x+y=9

Answers

For the first part is y=11/6.

At 8:00 a.m. the temperature outside in Juneau, Alaska was -16.5 . By noon the temperature had increased by 15.25 . What is the temperature at noon?

Answers

It would be -1.25 degrees at noon.

a man is 76 inches tall. the length from his head to his shoulders is 14 inches, and the length from his waist to his shoulders is 30 inches. what is the length from his feet to his waist

Answers

14+30=44 (from his head to his waist)
76-44=32(he is 76 inch tall so substract 44 from 76 to find the length of feet-waist)



answer is 32

A cube has a length, width and height of 6 feet. What is the volume in cubic INCHES?

Answers

Volume of cube = ( side)^3

Side = 6 feet = 6×12 = 72 inches ( 1ft =12 inch)

Vol. = (72)^3 = 72×72×72= 373248 cubic inches

Answer:

6

Step-by-step explanation:

The graph of y= -4x+7 is:
A. a line that shows the set of all solutions to the equation
B.A point that shows the y-intercept
C.A point that shows only one solution to the equation
D.A point that shows one solution to the equation

Answers

Answer:

A is the answer

Step-by-step explanation:

The graph of the equation y = -4x+7 is a line that shows the set of all solutions of the equation.

What is equation of the line ?

"The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line. Using the equation of any line, we can find whether a given point lies on the line or not.

The equation of line is a linear equation with a degree of one"

"The equation of a line can be formed with the help of the slope of the line and a point on the line."

Here is the equation of the line is given,

y = -4x + 7

since, it is the equation of a line, it contains all the solutions on the graph.

Hence, option A is the correct option.

To know more about equation of motion here

https://brainly.in/question/16516318

#SPJ2

Frank thinks he will need at about 12 1/2 kilograms of sand for sandbox he is building. The sand he wants is 3$ per kilogram. About how much will frank spend on sand? Estimate the amount of sand he will need to the nearest whole number?

Answers

12 * 3 = 36, 1/2 * 3 = 1 1/2
36 + 1 1/2 = $37.50 for about 13 kilograms of sand.

5x+2(x+9)=x+4x+43
How do you solve this?

Answers

x = 25/2


this is your answer

Step 1. Simplify x + 4x + 43 to 5x + 43

5x + 2(x + 9) = 5x + 43

Step 2. Cancel 5x on both sides

2(x + 9) = 43

Step 3. Divide both side by 2

x + 9 = 43/2

Step 4. Subtract 9 from both sides

x = 43/2 - 9

Step 5. Simplify 43/2 - 9 to 25/2

x = 25/2

I need help ASAP how ever gets the right answer first I wil mark Brainliest!!!

Answers

Answer:

The area of this tabletop is

6 ft. × 2 ft. = 12 ft.²

A number n is less than or equal to -7 or greater than 12.

Answers

-7>=n>12
(can't do the greater than or equal to sign)

A number n is less than or equal to -7 or greater than 12 is written as

[tex]n\leq -7 \; or \; n>12[/tex]

Given :

Given statement is' A number n is less than or equal to -7 or greater than 12'.

We need to convert the given statement into an inequality

n  is less than or equal to -7

[tex]n\leq -7[/tex]

or n is greater than 12

[tex]n>12[/tex]

We need to combine both the inequalities

Connect both the inequalities by   'or'  

A number n is less than or equal to -7 or greater than 12.

[tex]n\leq -7 \; or \; n>12[/tex]

Learn more : brainly.com/question/2332918

Calculate the slope of the line that passes through the labeled points on the graph.

Answers

m=(Y2-Y1)/(X2-X1)


(1.) m=(2-(-1))/(-2-3) = 3/-5 = -3/5

(2.) m=(-2-1)/(-3-2) = -3/-5 = 3/5  

(3.) m=Infinity (equation: x=-2)



The slopes of the lines passing through the given points are: 1. [tex]\((-2,2)\)[/tex] and [tex]\((3,-1)\)[/tex]: [tex]\(m = -\frac{3}{5}\)[/tex]. 2. [tex]\((-3,-2)\)[/tex] and [tex]\((2,1)\)[/tex]: [tex]\(m = \frac{3}{5}\)[/tex]. 3. [tex]\((-2,-2)\)[/tex] and [tex]\((-2,3)\)[/tex]: The slope is undefined (vertical line).

To calculate the slope m of a line given two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex], you can use the formula:

[tex]\[m = \frac{y_2 - y_1}{x_2 - x_1}\][/tex]

Let's apply this formula to the given points:

1. For points (-2,2) and (3,-1):

[tex]\[m = \frac{-1 - 2}{3 - (-2)} = \frac{-3}{5}\][/tex]

2. For points (-3,-2) and (2,1):

[tex]\[m = \frac{1 - (-2)}{2 - (-3)} = \frac{3}{5}\][/tex]

3. For points (-2,-2) and (-2,3):

[tex]\[m = \frac{3 - (-2)}{(-2) - (-2)} = \frac{5}{0}\][/tex]

The slope for the third set of points is undefined because the denominator becomes zero, indicating a vertical line. The first two sets of points have slopes of [tex]\(-\frac{3}{5}\)[/tex] and [tex]\(\frac{3}{5}\)[/tex] respectively.

How many different 10 digit phone numbers are possible if numbers can be repeated

Answers

It was would numbers 000-000-0000 through 999-999-9999. So that would be 9,999,999,999 + 1 = 10 billion different 10-digit phone numbers.

Bradley solved the following equation 4(5x - 6) = 2(8x + 10)

Answers

Hello! I'm guessing you need someone to solve this equation!

4(5x-6)=2(8x+10)

20x-24=16x+20

Add 24 on both sides!

20x=16x+44

Subtract 16x on both sides!

4x=44

Divide 4 by 44

x=11

A 13.9 gallon gas tank is 4/5 full. How many gallons will it take to fill the tank?

Answers

It will take 2.78 gallons to fill the remainder of the tank.

13.9 * 4/5 = 11.12    - 11.12 is the amount of gas already in the tank.

13.9 - 11.12 = 2.78    - So, subtract 11.12 from 13.9 and you get your answer.

Hope this is right! ;)

Trisha spins a spinner. the pointer lands on three prime numbers .she says the sum is less than 12.which could be the number

Answers

The answer is 2, 3, and 5

The sum of the first three prime numbers less than 12 is 2, 3, and 5.

What is a Prime number?

A prime number is a positive integer having exactly two factors that are 1 and number itself. Any number that does not follow this is termed a composite number.

Given

Trisha spins a spinner. the pointer lands on three prime numbers.

She says the sum is less than 12.

How to find the prime number?

The prime numbers are as follows,

2, 3, 5, 7, 11..so on

So the sum of the first three prime numbers will be

2 + 3 + 5 = 10

Hence, the sum of the first three prime numbers less than 12 is 2, 3, and 5.

More about the prime number link is given below.

https://brainly.com/question/4184435

Ramona is a saleswoman whose base pay plus commissions amounted to $52561 last year. If her base pay was $23690 and she made $77,300 in sales last year, what is her rate of commission
A) 68%
B) 37%
C) 31%
D) 46%

Answers

B $52561-23690=28871 $28871/$77300= .373 or 37.3%

Answer:

B) 37%

Step-by-step explanation:

Given,

The total base pay and commission = $ 52561,

While, base pay = $ 23690,

So, the amount of commision = Total base pay and commission - base pay = $ 52561- $ 23690 = $ 28871,

Also, total sale = $77,300,

Hence, the rate of the commission( in percentage )

[tex]=\frac{Commission}{Sale}\times 100[/tex]

[tex]=\frac{28871}{77300}\times 100[/tex]

[tex]=\frac{2887100}{77300}[/tex]

[tex]=37.3492884864\%[/tex]

[tex]\approx 37\%[/tex]

Option 'B' is correct.

which is the focus of a parabola with equation y^2=4x

Answers

The focus is (1,0)  


Hope this helps!


Answer:

focus is (1,0)

Step-by-step explanation:

the focus of a parabola with equation [tex]y^2=4x[/tex]

Focus point lies inside the parabola

To find the focus of a parabola we need to find the vertex

the distance between the focus and vertex is the value of p.

Focus point is (h+p,k)

Where (h,k) is the vertex

Given equation is in the form of [tex](y-k)^2=4p(x-h)[/tex]

Given equation can be written as [tex](y-0)^2=4(x-0)[/tex]

So the vertex is (0,0)

Now we find the value of p

[tex]4p = 4[/tex]

So [tex]p=1[/tex]

Focus is (h+p,k) that is (1,0)

CAN SOMEONE HELP ME PLEASE MUCH THANK

Answers

i think it is Transitive property of congruence but im not 100% sure

Answer,

A) Transitive Property of Parallel lines

Hope this helps :-)

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