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

The number of termites in a nest in any given month can be represented by the
function f(t) = 4(3)^t where t represents the number of months.

The number of ants in a box can be represented by the function represented by the
table:

Months
0-1-2-3-4
Number 20-45-101-228-513

What is the positive difference in the number of termites and the number of ants in
the fourth year?

Answers

im pretty sure the answer is 189

The positive difference in the number of termites and the number of ants in the fourth month will be 189. Option B is correct.

What is the application of subtraction?

In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.

It is given that, the number of termites in a nest in any given month can be represented by the function [tex]\rm f(t) = 4(3)^t[/tex].

For the fourth month,

f(4) = 4(3)⁴

f(4) = 324

From the table, it is observed that the number of ants in four months is 513.

The positive difference in the number of termites and the number of ants in the fourth month is found as,

=513-324

=189

Thus, the positive difference in the number of termites and the number of ants in the fourth will be 189. Option B is correct.

Learn more about the application of subtraction here:

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11x-6=60 please give details

Answers

Answer:

6

Step-by-step explanation:

11(6)-6=60

11 x 6 = 66

66-6 = 60

Therefore, x=6

Simplify this fraction. -8/-4

Answers

Answer:

2/1 or 2

Step-by-step explanation:

-8/-4= 8/4= 4/2= 2/1

Hope this helps!

If correct pls mark brainliest:)

Both negatives will eliminate each other, and 8/4 is 2.

2

Helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp pls

Answers

Answer:   D

Step-by-step explanation:

Break up the equation and you get 2x + 14 - 7 = 2x - 7 aka the same equation

17. Solve the following equation. (1 point)
3(y – 5) + 2 = 5
Oy=4
Oy=7
Oy= 4
Oy=6

Answers

Answer:

y = 6

Step-by-step explanation:

[tex]3(y - 5) + 2 = 5 \\ 3y - 15 + 2 = 5 \\ 3y - 13 = 5 \\ 3y = 5 + 13 \\ 3y = 18 \\ \\ y = \frac{18}{3} \\ \\ y = 6[/tex]

I hope I helped you^_^

The solution of the equation 3(y - 5) + 2 = 5 gives the result y = 6.

Thus, option (d) is correct.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=).

Let's solve the equation step by step:

3(y - 5) + 2 = 5

First, distribute the 3 on the left side:

3y - 15 + 2 = 5

Combine the constants on the left side:

3y - 13 = 5

Now, isolate the variable y by adding 13 to both sides:

3y = 18

Finally, divide both sides by 3 to solve for \(y\):

y = 18/3

y = 6

So, the solution to the equation is y = 6.

Thus, option (d) is correct.

Learn more about Equation here:

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PLS ANSWER You start a savings account with $200 and save $30 each month. Write a rule to represent the amount of money you invest into your savings account as an arithmetic sequence. How much money will you have invested after 12 months?

Answers

Answer:

$560

Step-by-step explanation:

200+30x

x being each month

Based on the data set shown, which of the following is a true statement?
-1,-1,0, 1, 1, 1, 1, 2, 2, 2, 3

Answers

Answer:

3

Step-by-step explanation:

Answer:

Agree with the person on top

Step-by-step explanation:

Mean < median

control

7) At one college, GPAs are normally distributed with a mean of 3 and a standard deviation of

0.6. Using the Empirical Rule, what percentage of students at the college have a GPA

between 3.6 and 4.8? Sketch a curve to show your work.

Celes

Answers

Ahhhhhjjjjjjjjjjjjjjjjjjjj

the first stage in the rational decision-making process involves ______.

Answers

Answer:

Identifying the problem

what is 1+1-923422354x2x26757635

Answers

Answer: [tex]-4.9417197e+16[/tex]

Step-by-step explanation:

pls helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

A inbetween 4/10 and 5/10

B inbetween 30 and 40

C closer to the 8/10 but inbetween 9/10

D inbetween 20 and 30

E inbetween 2/10 and 3/10

F on the 5/10

-2y + 6 = -12

what is the answer??

Answers

Answer:

9

Step-by-step explanation:

Simplifying

2y + -6 = 12

Reorder the terms:

-6 + 2y = 12

Solving

-6 + 2y = 12

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 2y = 12 + 6

Combine like terms: -6 + 6 = 0

0 + 2y = 12 + 6

2y = 12 + 6

Combine like terms: 12 + 6 = 18

2y = 18

Divide each side by '2'.

y = 9

Simplifying

y = 9

Answer:

Y=9

Step-by-step explanation:

Subtract 6 from both sides. Simplify. Dive both sides of the equation by the same term. Simplify. Solution y=9

Trey is taking his friends out to dinner to celebrate graduation. It will cost him $72 to reserve a table, and another $5 per guest. How many people can he invite if he can only spend up to $130?​

Answers

Answer:

11 people

Step-by-step explanation:

first, youd subtract the table reservation price from the max price.

130 - 72 = 58

then, since each person costs $5, you find the highest multiple of 5.

in this case, its 55, which has 11 groups of 5 in it.

to make sure:

you can then subtract 55 from 58 to make sure there isnt any extra 5's.

58 - 55 = 3.

combine the like terms to create an equivalent expression
what is
2 x - x + 8​

Answers

Answer:

x + 8

Step-by-step explanation:

when theres just an x or any number there it is the same as 1x

2x - 1x = 1x / x

1x + 8 aka x + 8

What is the = to x/6 +=9 please give details

Answers

Answer:

x= 15,-3 hope that helps

Need HEELPPPP Did you know that chickens sometimes eat vegetables and fruits? A farmer likes to give the chickens apples to share. The farmer observes that 5 chickens eat 8 apples. What is the ratio of the number of chickens to apples?

3:8
5:8
8:3
8:5

Answers

Answer:

It would be 5:8

Step-by-step explanation:

Someone pleaseee help me out with this question!!!

Answers

Answer:

51.2%

Step-by-step explanation:

I just reduced 20% each time starting with 100, so it became 51.2/100 or 51.2%

Answer:

c 48.8%

Step-by-step explanation:

the % of price reduction = 1-80%×80%×80%

=48.8%

Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds 12 more seashells on beach. Katie can use fractions of days to find seashells. Write an inequality to determine the number of days, dd, it will take Katie to collect over 100 seashells.And please demonstrate it on a number line

Answers

Answer:

full answer na po yarnnnnnnnn

For the standard normal distribution, the area between z = 0 and z = 1.70, rounded to four decimal places, is:

Answers

Using normal distribution table, the area between z=0 and z=1.70 is the difference between p(z=0) and p(z=1.70). Hence, the area between z=0 and z = 1.70 is 0.4554

Using a normal distribution table :

P(Z < 0) = 0.5

P(Z < 1.70) = 0.95543

The Area between z=0 and z= 1.70 is defined as the difference between the probabilities of (z < 1.70) and (z < 0)

P(Z < 1.70) - P(Z < 0) = 0.95543 - 0.5 = 0.45543

Therefore, the area between z = 0 and z = 1.70 rounded to four decimal places is 0.4554

Learn more :https://brainly.com/question/25273131

HELOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

Answers

Answer:

BBBBBBBB

Step-by-step explanation:

Answer:

B: | 7 |

Step-by-step explanation:

subtract 11 with 4 to get 7, but you keep the rest to show that it has to stay as a positive number.

hope this helps :)

A line includes the points (0, 1) and (4, 8). What is its equation in slope-intercept form?

Answers

The answer is Y=7/4x+1

Please solve the math problem... I will mark you brainliest

Answers

Answer: the solution set is {19}

Step-by-step explanation:

AC = DF

6x+41=8x+3

-2x=-38

x = 16

equation for $.10 times 30 equals three dollars

Answers

Answer:

30 (.1)=3

or you could do

30×.1=3

you could use either one but I dont know what the person your turning the work in requires the equation to look like

Blah blah get failed ditch (replace d with b)

Can someone please solve this

Answers

Answer:

20

Step-by-step explanation:

- Combine multiplied terms into a single fraction

- Eliminate redundant parentheses

- Multiply all terms by the same value to eliminate fraction denominators

5/8x2/3....................

Answers

Answer:

Your answer is 5/12.

Step-by-step explanation:

Hope this helps!

IF YOU DONT KNOW THE QUESTION, PLEASE DONT ANSWER IT FOR THE PONIS. I REALLY NEED IT

Answers

Answer:

-3x^2-10x+6

Step-by-step explanation:

the first mistake would be writing the 4x^2 as positive when it's supposed to be negative. the 1 is also supposed to be positive. correct difference would be:

(x^2-10x+5)-(4x^2-1)

=(x^2-4x^2)-10x+5+1

=-3x^2-10x+6

Answer:

Mistake in step 2

Step-by-step explanation:

(x^2-10x+5)-(4x^2-1)

x^2-10x+5-4x^2+1

-3x^2-10x+6

-(3 x^2 + 10 x - 6)

There is a mistake in step 2 in the picture,

-(4x^2-1)

Here, -*- =+ and -*+=-, this is done incorrectly here,

Last week, Mahmoud drove 109 kilometers. This week, he drove n kilometers. Using n, write an expression for the total number of kilometers he drove in the
two weeks

Answers

Last week: 109
This week: n
We need the total, so T=109+n where T is the total number of kilometers driven.

What is the y-intercept of this graph?​

Answers

Answer:

0,0

Step-by-step explanation:

To find y-intercept You look where the line touches the y-axis and vice-versa if you want to find teh x-intercept

mike bought 30 cupcakes, he gave 18 cupcakes to his classmates. write the percentage of cupcakes left

Answers

Answer:

30

minus

18

is 12

explanation

after u have gotten the answer write it into a percentage and it will be 12%

Ramon has a rope that is 25 1/2 ft long. He wants to cut it into 6 pieces that are in equal length. How long will each cut be?

Answers

Answer:

4.25 ft per segment

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