a number is 2/3 of another number. if the sum of the two numbers is 30, find the smaller number.

Answers

Answer 1

Answer: The numbers are 4 and 6.

Step-by-step explanation:

Let one number be represented as

x

and the other as

y

.

According to the problem:

x

=

2

3

y

and

x

+

y

=

10

From the second equation we get:

x

+

y

=

10

y

=

10

x

(subtracting

x

from both sides)

Replacing the value of

y

in the first equation we get:

x

=

2

3

y

x

=

2

3

(

10

x

)

Multiplying both sides by

3

we get:

3

x

=

2

(

10

x

)

Opening the brackets and simplifying we get:

3

x

=

20

2

x

Add

2

x

to both sides.

5

x

=

20

Divide both sides by

5

.

x

=

4

Since from the second equation we have:

x

+

y

=

10

substituting

x

with

4

we get:

4

+

y

=

10

Subtract

4

from both sides.

y

=

6

Answer 2

Answer: The smaller number is 12.

Step-by-step explanation:

Just took the test


Related Questions

Hey! I was wondering if you could give me some help with math?​

Answers

Sure what is it that u need help with
What grade? I can help with lots but there are some i haven’t mastered.

what is 3 divided by 1/6?

Answers

Answer:

18

Step-by-step explanation:

Answer:

The correct answer is 18

Step-by-step explanation:

HAVE A GOOD DAY!

Which scatterplot BEST suggests a linear relationship between X and Y? URGENT!!!!!!!!!!!!!!! HELP PLEASE AND FAST!!!!!!

Answers

The scatterplot that best represent a linear relationship between the variables, X and Y, is: graph C.

What is a Linear Relationship?

On a scatterplot, the trendline that shows a linear relationship between two variables will have a straight line pattern that either slopes up or down.

The scatter plot in graph C shows a trendline that slopes along a straight line. Therefore, the answer is C.

Learn more about linear relationship on:

https://brainly.com/question/7040405

#SPJ2

In a survey of 10 musicians, 2 were found to be left-handed. Is it practical to construct the

90% confidence interval for the population proportion, p?

Answers

Answer:

-0.0081<p<0.4081

Step-by-step explanation:

Using the formula for calculating the confidence interval expressed as;

CI = p±z√p(1-p)/n

p is the proportion = x/n

n is the sample size

x is the amount that are left-handed

p = 2/10

p = 0.2

z is the z score at 90% CI = 1.645

Substitute the values into the formula;

CI = 0.2±1.645√0.2(1-0.2)/10

CI = 0.2±1.645√0.2(0.8)/10

CI = 0.2±1.645√0.16/10

CI = 0.2±1.645√0.016

CI = 0.2±(1.645*0.1264)

CI = 0.2±0.2081

CI = (0.2-0.2081, 0.2+0.2081)

CI = (-0.0081, 0.4081)

hence the 90% confidence interval for the population proportion, p is expressed as -0.0081<p<0.4081

find the images of the following under thr reflection aboit x_axies a(2,_3)


Answers

Answer:

that not a full question I cant answer that.

There are 13 guests at Morgan's party. If each guest will be served exactly \tfrac{4}{5} 5 4 ​ pint of ice cream, how many pints of ice cream will she need? Express your answer in simplest form.

Answers

Multiply number pf people by amount they are having:

13 people x 4/5 pint = (13 x 4)/5 = 52/5 = 10 2/5 pints.

They need 10 2/5 pints total. ( Simplest form)

Since you can't buy a fraction of a pint, they would actually need to buy 11 pints

Here are recipes for two mixtures of salt and water that taste different. a) If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning. b) Which mixture tastes saltier? Explain how you know.

Answers

Answer:

DrPepper is a carbonated soft drink. It was created in the 1880s by pharmacist Charles Alderton in Waco, Texas, and first served around 1885. Dr Pepper was first nationally marketed in the United States in 1904 and is now also sold in Europe, Asia, North and South America, and Australia, as well as New Zealand and South Africa as an imported good. Variants include Diet Dr Pepper and, beginning in the 2000s, a line of additional flavors.

Step-by-step explanation:

Answer:

All sound really freaking salty. And rule out the 3rd option cause that uses more water to salt than any. The saltiest would be Choice a, because, the other options have more water to salt than choice a.  

Step-by-step explanation

My grammarly says this writing sucks.....hope it doesnt for you. Best i can explain

Jan went to the mall with $20. She spent $5 at the mall. What decimal represents how
much of her $20 she spent at the mall? Explain how you got your answer.

Answers

Answer:

jan spent 0.25, 1/4, or 25% of her money at the mall

any 3 of those answers are correct

Step-by-step explanation:

she spent $5 out of $20.

5/20 = 1/4

1/4 = 25% or 0.25

Imelda jogs 2 3/4 miles each weekday, Monday through Friday. On Saturday, she logs 2.5 times the daily weekday distance. On Sunday she jogs 3/4 of the daily weekday distance.
How many miles does Imelda jog on all 7 days combined?

Answers

Answer: 22.6875 miles

Step-by-step explanation:

Monday = 2 3/4 miles = 2.75 miles

Tuesday = 2.75 miles

Wednesday = 2.75 miles

Thursday = 2.75 miles

Friday = 2.75 miles

Saturday = 2.5 × 2.75 = 6.875 miles

Sunday = 0.75 × 2.75 = 2.0625 miles

Total = 2.75 miles + 2.75 miles + 2.75 miles + 2.75 miles + 2.75 miles + 6.875 miles + 2.0625 miles

Total = 22.6875 miles

Jermiah finished 3/4 of his timed math quiz. Of those he attempted he correctly answered 5/9 of the problems. What fractional part of the quiz did he get correct?

Answers

Answer:

5/12

Step-by-step explanation:

Jermiah finished 3/4 of his timed math quiz. Of those he attempted he correctly answered 5/9 of the problems. What fractional part of the quiz did he get correct?

The above question is solved below.

The Fractional part of the quiz he got correctly is

5/9 of 3/4 of his timed maths test

= 5/9 × 3/4

= 5/12

He got 5/12 of his quiz correctly.

Small 20 caps $180.00
Medium 32 caps $270.00
Large 50 caps $360.00
The chart shows the price of baseball caps for different pack sizes. Coach Lewis will buy the medium size pack of caps. About how much will each cap cost? Write an equation to model the problem.

Answers

Each cap would be about $8.44. Equation to model this problem is 270/x=y or c for caps

which one doesn’t belong?

Answers

come to your house to pick it lowest to go with D

Answer:

All of them have different answers so gonna say D because its only one number  

Step-by-step explanation:

Hope this helps

sorry If its wrong

17 < 2x + 7 <29*
Your Inswer

Answers

Answer:

5<x<11

Step-by-step explanation:

Answer:x=3

Step-by-step explanation:

3 A trainer for a soccer team keeps track of the amount of water players consume during practice. The trainer observes that the average amount of water consumed by the team is a linear function of the temperature. The graph and equation for this function are shown. Choose True or False for each statement. True у 7.8 a. For every degree increase in temperature, the average amount of water consumed increases by 0.0875 gallons. False 7.2 b. When the temperature is below 74 degrees, the team consumes no water. Water (gal) True 6.6 64 False 6.0 0 X True 0 74 76 78 80 82 84 86 88 90 92 94 C. When the temperature is 86 degrees, the team consumes somewhere between 7 gal and 7.2 gal of water. Temperature (°F) False w = 0.0875t – 0.45, where w represents the average amount of water consumed, and t represents the temperature on that day. True d. The amount of water consumed by the team decreases by 0.45 gallons for every degree the temperature falls, False S​

Answers

Answer:

Step-by-step explanation:

true false true false

50 50 23 ​ start fraction, 23, divided by, 50, end fraction of Xander's friends prefer to stay home on Friday nights. What percent of Xander's friends prefer to stay home on Friday nights?

Answers

Answer:

Percent of Xander's friends that prefer to stay home on Friday nights = 46%

Step-by-step explanation:

23/50 of Xander's friends prefer to stay home on Friday nights.

What percent of Xander's friends prefer to stay home on Friday nights?

% of Xander's friends that prefer to stay home on Friday nights

= 23/50 × 100

= 0.46 × 100

= 46%

Percent of Xander's friends that prefer to stay home on Friday nights = 46%

Solve the puzzle. M + M + M = 30. M + N + N =20. N + Q + Q = 9. N + Q × M = ?Solve for M.
A. 8
B. 9
C. 10

Answers

Answer:

M=10

N=5

Q=2

Step-by-step explanation:

if you look at the equation it says

M+M+M=30

Since there's 3 M's you can combine it and make it into 3M=30.

you could then divide 30 by 3 in order to get M by itself and you would get M=10.

Hope this helped :)

Pleaseee help!

Marie was trying to show her friend why -3 × -8 equals a positive product. This is what she wrote:

-3 × 0 = 0
-3 × (?) = 0
-3(8) + -3(-8) = 0


-24 + 24 = 0

What should Marie write in place of the question mark?
A. 8 + 8
B. -8 + (-8)
C. 8 + (-8)
D. -8 + 0

Answers

Answer:

C

Step-by-step explanation:

C is the only one that works,.

Answer:

the correct answer is c

HELP ME WITH THIS QUESTION PLZZZZZZZZZZZ, ALSO PLEASE SHOW UR WORK I NEED HELP I DON'T UNDERSTAND THISSSSSS

Answers

Answer: Jon has the best rate

Step-by-step explanation:

Megan cut a string into 4 equal pieces. Each piece is 4 fifths of a foot long. How many feet long was the string before Megan cut it? Enter your answer as a mixed number in the solution box. The string was feet long before Megan cut it.

Answers

Answer:

[tex]Total = 3\frac{1}{5}ft[/tex]

Step-by-step explanation:

Given

[tex]Pieces = 4[/tex]

[tex]Size = \frac{4}{5}ft[/tex]

Required

Determine the total size of the string

To do this, we multiply the number of pieces by the length of each piece.

[tex]Total = Pieces * Size[/tex]

[tex]Total = 4 * \frac{4}{5}ft[/tex]

[tex]Total = \frac{4 * 4}{5}ft[/tex]

[tex]Total = \frac{16}{5}ft[/tex]

Convert to mixed number

[tex]Total = 3\frac{1}{5}ft[/tex]

-41 + 22 negative or positive

Answers

Answer:

-19

Step-by-step explanation:

PLS HELP I BEG YOU ASAP! PLS Answer this! I only have 5 minutes PLS I BEG U!!!! I also the the price of each notebook hint:find the value of X

Answers

Answer: 2x+4=10

Step-by-step explanation:

because each notebook would cost $3 so 2 x 3 = 6 +4=10

Answer:

first

2x + 4 = 10

2x+4=10

2x+4=10

Solve

1

Subtract

4

4

4

from both sides of the equation

2

+

4

=

1

0

2x+4=10

2x+4=10

2

+

4

4

=

1

0

4

2x+4{\color{#c92786}{-4}}=10{\color{#c92786}{-4}}

2x+4−4=10−4

2

Simplify

Subtract the numbers

Subtract the numbers

2

=

6

2x=6

2x=6

3

Divide both sides of the equation by the same term

2

=

6

2x=6

2x=6

2

2

=

6

2

\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}

22x​=26​

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

3

x=3

x=3

Solution

=

3

Second one

6 = 10

2

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

5

3

x=\frac{5}{3}

x=35​

Solution = 5/3

i hope these help to figure out the third sorry its all messed up it wouldnt let me do another way

One number is 6 less than another number. Their sum is 50. What is the smaller number?

If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?


x + y = 50 and -x + y = 6
x + y = 50 and x - y = 6
x + y = 50 and x + y = 6
x - y = 50 and x + y = 6

Answers

Answer:

y = 2x - 6

Step-by-step explanation:

Write in slope intercept form given two points (1,2) and (-2,5)

Answers

I’m pretty sure it’s -1
How you solve this is y2-y1/x2-x1
So 5-2/-3-1 which would be -1

What two things do you NEED to write an equation in point-slope form?

Answers

Answer:

a letter or a word of any kind

Answer: In order to use the slope-intercept form, one needs a slope and the y-intercept. If you don't have or can't find these two pieces of information, you can't use the slope-intercept form

Step-by-step explanation:

if a scarf is 25 percent off and normally cost 20 dollars how much will it cost after 6.5 percent sales tax is paid?​

Answers

Answer:

$15.98

Step-by-step explanation:

25% off means it is 75% of its normal cost

0.75 x 20 = 15

The scarf is $15 after 25% discount. Then we calculate its final cost after tax:

6.5% = 0.065

1.065 x 15 = 15.975 which rounds to $15.98

Answer: 15.98

Step-by-step explanation: 25% off 20 is 15. 6.5% times 15 is .98 so the answer is 15.98

1 3 movie tickets cost $36. At this rate, what is the cost per ticket?

Answers

Answer:

$12 per ticket

Step-by-step explanation:

if 13 movie tickets cost $36 the cost per ticket is how much will a tiket cost

36/13= $12

The answer is $12 per ticket

4. (03.02) Factor completely x2 - 9x + 20. (1 point)​

Answers

Answer:

(x-4)(x-5)

Step-by-step explanation:

x² - 9x + 20

x²-4x-5x+20

x(x-4)-5(x-4)

(x-4)(x-5)

Answer:

Hope it can help you and please mark me as a brainlist..

7. Which criteria for triangle congruence allows
you to immediately conclude that the triangles
are congruent with any extra steps?
a.
b.
SAS
AAS
HL
none
C.

Answers

Answer:

Option (B)

Step-by-step explanation:

From the figure attached,

Given:

AB ≅ CD

To prove :

ΔABC ≅ ΔCDA

              Statements                       Reasons

1). AB ≅ CD                             1). Given

2). AC ≅ AC                           2). Given

3). ΔABC ≅ΔCDA                  3). HL property of congruence

Therefore, Option (B) is the correct option.

Answer:

the answer is aas

Step-by-step explanation:

im sure u aint go read dis but the explanation is that the congruency of aas also know as angle-angle-side shows and appears many times due to the fact that if u were to split the two triangles apart there would be to angles and one side on each triangle


Find the value of y if the value of x is 2 for each equation and match it with the appropriate result.
2 + y = 5

3x + 2y = 6

2x + y = 6

5x + 3y = 4

drag & drop the answer
-2
3
-3
0
2
2

Answers

9514 1404 393

Answer:

  3, 0, 2, -2

Step-by-step explanation:

Put x=2 into each equation and solve for y.

2 + y = 5

  y = 5 -2

  y = 3

3x +2y = 6

  3·2 +2y = 6

  2y = 6 -6 = 0

  y = 0

2x +y = 6

  2·2 +y = 6

  y = 6 -4

  y = 2

5x +3y = 4

  5·2 +3y = 4

  3y = 4 -10 = -6

  y = -2

Which expression is NOT equivalent to 6 × 14?

Answers

Answer:

D

Step-by-step explanation:

10(40)= 400

6(400)= 2,400

6(14)= 84

Therefore they are not equal.

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