A number is 6 times another number and their sum is 28.what are the two numbers

Answers

Answer 1

Answer:  Let the 2 numbers be x and  

sum of two numbers is 28....Eq 1:  x + y = 28

sum of 6 times the 1st number and 3 times the 2nd number is 105....Eq 2:  6x + 3y = 105

Rearrange Eq 1 to solve for x.

x + y = 28

x = 28 - y  --> Substitute into Eq 2, you get

6(28 - y) + 3y = 105

168 - 6y + 3y = 105

-3y = -63

y = -63 / -3 = 21

Now solve for x using Eq 1.

x = 28 - y = 28 - 21 = 7

hope  it helped

Step-by-step explanation:


Related Questions

Perform the indicated operations. Reduce your answer to it's lowest term. ​

Answers

Step-by-step explanation:

15 1/2+ 3/4=16 1/4

to add fractions what you want to do is this:

so you want them as the same denominator, a way to do this is multiply one denominator with another (ex, 2 in 1/2. you want to multiply 4 with 2 which equals 8 and 2 with 3. this together equals 6/8. do the same thing with 1/2. 1×4=4 2×4=8. 4/8)

so, whats 4/8 and 6/8? just adding it like usual, it'll be 10/8, or 1 2/8.

15+1 2/8=16 2/8

16 2/8 simplified (just divide by 2 until you make it to where you cant anymore)

16 1/4

do the same with the other adding ones.

23 1/6+8 3/4=23 11/12

15 2/5+ 2 2/6= 17 11/15

now, do the same way as showed before but except subtract.

9/10 - 3/5 = 15/50

7 3/4 - 5 5/8 = 1/8

20 5/8= 1/8

The resting heart rate of an adult is usually about 60 beats per minute. Complete the chart below and be sure to include comma for thousands.
Minutes Heartbeats
1 60
5 300
10 [blank]
50 [blank]
100 [blank]
500 [blank]
1,000 [blank]
5,000 [blank]
10,000 [blank]
( 25 point's !!!!!)

Answers

Answer:

heart rate for adults ranges from 60 to 100 beats per minute genuinely a lower heart rate is at rest implies more efficient heart functions and better cardiovascular fitness

Step-by-step explanation:

a well-trained athlete might have a normal resting heart rate closer to 60 beats per minute

(I really do hope this helps)

12/13+(-1/13 complete the expressions to find the sum or difference..

Answers

Answer:

11/13

Step-by-step explanation:

[tex]\frac{12}{13}+ (-\frac{1}{13} )[/tex] [tex]\frac{12}{13} - \frac{1}{13}[/tex] [tex]\frac{11}{13}[/tex]

The product of a rational and irretional number is always, sometime, or never rational.

Answers

Answer:

Step-by-step explanation:

The product of a rational number and an irrational number is SOMETIMES irrational." If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational.

if 3x - 6 = 15 than what is x​

Answers

Answer:

3x-6=15

3x=15+6

3x=21

x=21/3

x=7

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

x = 7

Step-by-step explanation:

Step 1: Add 6 to both sides.

[tex]3x - 6 + 6 = 15 + 6[/tex] [tex]3x = 21[/tex]

Step 2: Divide both sides by 3.

[tex]\frac{3x}{3} = \frac{21}{3}[/tex] [tex]x = 7[/tex]

Step 3: Plug in the value to see if it's correct.

[tex]3(7) - 6 = 15[/tex] [tex]21 - 6 = 15[/tex] [tex]15 = 15[/tex]

Therefore, x = 7.

mrs.price purchases 24 tickets for the students in her class. evaluate the expression t=24 please help I'm stuck and I don't know much​

Answers

Answer:

t(28-8)=      , (28-8)

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

just subtract whats in the parenthesis (28 - 8) and its 20

Use the figure to find the measures of the numbered angle.

Answers

Answer:

angle 1 = 61°

angle 2 = 119°

angle 3 = 61°

angle 4 = 119°

angle 5 = 119°

angle 6 = 61°

angle 7 = 119°

Step-by-step explanation:

angle 1 = 61° (corresponding angles are always equal)

angle 1 + angle 2 = 180° (linear pair)

=> 61° + angle 2 = 180°

=> angle 2 = 180° - 61° = 119°

angle 2 = 119

angle 1 = angle 3 = 61° (vertically opposite angles are equal)

angle 2 = angle 4 = 119° (vertically opposite angle are equal)

angle 4 = angle 5 = 119° (interior opposite angles are equal)

angle 6 = 61° (vertically opposite angles are equal)

angle 5 = angle 7 = 119° (vertically opposite angles are equal)

Hope it helps :)


How much will it cost to fill a 50 L gas tank
at $1.33 per liter?

Answers

$66.50
Yes it is correct

Answer:

$66.50.

Step-by-step explanation:

50 L · $1.33/L = $66.50

Becky has 30 T-shirts in a drawer: 12 concert shirts, 8 team shirts, and 10 plain shirts. Of
the 10 shirts she randomly selects to give to charity, 3 are concert shirts. How does this
frequency compare to the expected frequency based on the probability of randomly
selecting a concert T-shirt?

Answers

Answer:

The chance of her selecting a Cocert shirt are 12/30 which means therw is more probability she would choose at least one and the least probability to choose a Team sirt since the odds are 8/30 so it is expected she would select 4 concert shirts not 3, at lest for me.

C: Joe is a waiter.
Last night he made
$37 in fips and
makes $8.50 per
hour. How much did
he make after his 8
hour shift?

Answers

Answer:

8x8.5 +37

68+37 = 105  

$105 dollars for an 8 hour shift

$68 salary + $37 tips = $105

Answer:

total wage in 8 hrs = $105  

Step-by-step explanation:

37 + (8 * 85) = 37 + 68 = $105   we simply do the maths without decimal then place on the 10's =(8 * 85) = 680 = $68 then add the $37 = $105

Karla is making fresh grape jelly. She buys 18.7 pounds of grapes.

Estimate the total cost. $2.78(18.7)

Karla will spend about___on grapes.
1. $19
2. $36
3. $40
4. $60

Answers

The answer is #4. About $60

Answer:

60

Step-by-step explanation:

read answer from list below this question

In a recent pizza contest, ryan ate 1 3/8, adrian ate 1 2/3, alejandro ate 1 4/5

Answers

Answer:

what is the question?

Step-by-step explanation:

please help me
Hamish buvs a new car for $20000
The car depreciates in value by 19% each year.
Work out the value of the car at the end of 3 years.
Give your answer to the nearest $

Answers

Answer:

The correct answer is $10,629

Step-by-step explanation:

Here is how I got it!

First, you will have to borrow the 20,000 from the word problem.

Next, multiply 20,000 with 0.81 with the power of 3

[tex]20,000*0.81^3=n[/tex]

The 3 is the number of years, n is the nearest $ answer.

--

First, do [tex]0.81^3[/tex]

[tex]0.81*0.81*0.81=0.531441[/tex]

(Wow, that's a crazy number!)

--

With 0.531441, multiply it with 20,000

[tex]20,000*0.531441=10628.82[/tex]

10,628.82 is technically (in money) $10,628.82 (with .82 being eighty-two cents).

--

Finally, it states to answer to the nearest $.

Just round up the .82 to 1 dollar which will just add one more dollar to 10,628

[tex]10,628[/tex] ⇒ [tex]10,629[/tex]

Add you $ symbol

With the result being: $10,629

Answer:

$10629

Step-by-step explanation:

First you have to work otu the percentage decrease:

100 - 19 = 81

81/100 = 0.81 (/ means divide)

Then you have to work the amount after 3 years:

Long Method

20000 x 0.81 = 16200

16200 x 0.81 = 13122

13122 x 0.81 = 10628.82

or Short Method

20000 x 0.81³ = 10628.82

Finally you round it to the nearest $:

10628.82 ⇒ 10629

PLEASE HELP ME
The figure below shows two pair of congruent triangles. ΔROB ≅ _____ ΔPTA ΔATP ΔPAT ΔAPT

Answers

ROB≈PAT for pink congruent triangles. DEF≈TXW for green. This makes it congruent

commission expense is budgeted to be $16,000 at a planned sales level of 4,000 units. if only 2,900 units are sold, how much commission expense will appear on the flexible budget, and is the activity variance favorable or unfavorable?

Answers

The amount of commission expense that will appear on the flexible budget if 2900 units were sold is; $11600

The activity variance is favourable.

According to the question;

The budgeted commission expenses is to be $16,000 at a planned sales level of 4,000 units.However, only 2900 units are sold.

To solve this;

We must be aware that the commission expense is directly proportional to the number of units sold.

In essence;

$16,000 is expected at 4,000 units of sale.Therefore, $x is expected at 2,900 units of sale.

By cross product;

x = (2900 × 16000)/4000

x = $11,600

Ultimately, the activity variance is favourable bas less commission expense is recorded for less sale.

Read more;

https://brainly.com/question/24487497

Need answers with explanation

Answers

Step-by-step explanation:

i guess it helps..if yuh need step by step explanation.comment i try to explain in worda

PLEASE HELP WITH THIS ONE QUESTION
In a square kilometer of corn fields, there are about 100,000 plants. About how many plants will Mr. Jimenez have to trample to create the center of the maze?

Answers

Answer:

1767

Step-by-step explanation:

(4m-5)°
(3m+3)
Solve for m

Answers

4m-5+3m+3=180

COMBINE LIKE TERMS

4m-2+3m=180

7m-2=180

move integers to the other side

180+2=182

182/7=26

m=26

Amy wants to make 20 cupcakes. She knows 3 cups sugar makes 2 cupcakes. How many cups of sugar will she need

Answers

Answer:

30

Step-by-step explanation:

(20/2)x3

pls help i give brainless

Answers

Answer:

1. 11 AM

2. 10:30 AM

Step-by-step explanation:

Answer:

Number 5 she started at 11:00 am

number 6 she started at 10:30 am

Step-by-step explanation:

:)

What is the value of the expression 2 to the third power plus 3 over 5 times 5 over 9 minus 4 plus 3.?

Answers

Suffdfudududududhrhehrhdudh

What kind of angles are 4 and 5

Answers

Angles formed when a transversal line cuts across two straight lines are known as corresponding angles. Corresponding angles are located in the same relative position, an intersection of transversal and two or more straight lines.

What is the value of the underlined digit in 249.15?​

Answers

There is a way to solve this.

2 - Hundredths

4- Tens

9 - Ones

( Beyond the decimal point)

1- Tens

5- Hundredths  

Answer:

depends on which digit is underlined!

Step-by-step explanation:

if the digit 2 is underlined, the value would be hundreds

if the digit 4 is underlined, the value would be tens

if the digit 9 is underlined, the value would be ones

if the digit 1 is underlined, the value would be tenths

if the digit 5 is underlined, the value would be hundredths

Find the measure of angles 1, 2, and 3

Answers

Answer:

angle one is 90

angle two is 115

angle 3 is 65

Step-by-step explanation:

There are 16 boys and 18 girls in a grade 6 math class . write the ratio of girls to boys in words as simply as possible

Answers

Answer:

8:9 = eight to nine

Step-by-step explanation:

16:18 - divide each by 2 in order to simplify

= 8:9

An engine in a model rocket can cause the rocket to accelerate from 0 m/s to 238 m/s in 1.2 seconds. What is the acceleration of the rocket?

Answers

Answer:

Step-by-step explanation:

acceleration = change of velocity / time

= 238/1.2

= 198.3 m/s/s.

1
What is the solution to the equation
=
X+ 3
?
2x4
x = -3
x = -3 and x = 0
ооо
x = 0 and x = 3
O x= 3

Answers

Answer:

X+3 = 3x

2x4 = 8

_3x

check out the remaining answer

A soccer team is having a car wash. The team spent $50 on supplies. They earned $300, including tips. The team's profit is the amount the team made after paying for supplies. Use a sum of integers to find the team's profit. The team's profit was $​

Answers

Answer:the answer is $ f(x) = 3x + 50

f(22) = 3(22) + 50

f(22) = 66 + 50

f(22) = 116

So, he will make $116.

As an ordered pair, the solution is (22, 116).Step-by-step explanation:

Money earned =$300Money spent on supllies=$50

Profit =Money left after supplies

[tex]\\ \sf\longmapsto Profit=300-50[/tex]

[tex]\\ \sf\longmapsto Profit=\$250[/tex]

bro i need this

(x − 5)^2 = x^2 − 25

Answers

Answer:

x=5

Step-by-step explanation:

x^2+25-10x = x^2-25

-x^2               -x^2

25-10x = -25

-25        -25

-10x = -50

x=5

lets check

(5-5)^2 = 5^2-25

0^2 = 25-25

0 = 0

Answer:

x = 5

Step-by-step explanation:

(x - 5)^2 = (x - 5) (x - 5) =

x^2 -10x + 25 = x^2 - 25

x^2 - x^2 - 10x + 25 = - 25 (x^2 - x^2 = 0)

- 10x + 25 = - 25

- 10x = - 25 - 25

x = - 50/- 10

x = 5

-5g - 6 for g =2
please help
A:4
b:16
C:10
D: -13

Answers

Answer:

-16

Step-by-step explanation:

-5g - 6

-5(2) - 6

-10 - 6

-10 + (-6)

-16

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