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

Shawn earns $250 per week grooming animals Write an algebraic expression to represent the amount of money that Shawn earns

Answers

$250/7=x is the answer I think

Answer [tex]m=250w[/tex]

Step-by-step explanation:

To write an engebraic expression, you should first start off by defining the variables.

Money earned = m

Weeks = w

Next, you have to define the relationship.

Shawn earns $250 per week, so in 2 weeks, he will earn 500, 3 weeks, 750, and so on. I did this by mulitplying, so amount of weeks times the amount of money earned would equal the total money he earned over "w" amount of weeks.

To create the expression, you just have to put the numbers and variables together.

m (money earned over "w" weeks) = 250 (money per week) w (number of weeks).

m=250w

An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $580 and her stock in Company B was worth $5950. The stock in Company A has increased 5% since last year and the stock in Company B has increased 18%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary). plz dont do for points do to help meeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think it’s 7.8 repeating

Step-by-step explanation:

Bill can throw a football 31 yards and 1 foot. Gil can throw a football 23 yards and 2 feet. How much further can Bill throw the football?

Answers

Answer:

23 ft

Step-by-step explanation:

94 - 71 = 23 feet

If ava makes $15 in 2 hours, what is her rate of pay?

Answers

Answer:

$7.50 per hour

Step-by-step explanation:

15/2=7.5

Answer:

she makes $ 7.50 an hour

Step-by-step explanation:

mark brainliest

f(x)= 3x - 5x + 2x – 3

Answers

There is no x-intercept/zero

Lola measures the heights and arm spans of the girls on her basketball team.
She plots the data and makes a scatterplot comparing heights and arm
spans, in inches. Lola finds that the trend line that best fits her results has the
equation y = x + 2. If a girl on her team is 65 inches tall, what should Lola
expect her arm span to be?
72
70
68
Arm span (inches)
66
62
60
Troo
60 62 64 66 68 70 72
Height (inches)
O A. y = 65 - 2 = 63 inches
O B. y= 65+ 2 = 67 inches
C. y = 65 inches
D. 65 = x + 2
X = 63 inches

Answers

Answer: 65 = x + 2

x = 63 inches

Step-by-step explanation:

Answer: 67

Step-by-step explanation: a p e x

find the volume of the composite figure​

Answers

39in³ is a required volume.

Solution given:

for upper one

length[l]=8in

breadth[b] =3in

height[h]=1in

now

volume [V1]=l×b×h=8×3×1=24in³

again for lower one:

length[l]=6-1=5in

breadth[b] =3in

height[h]=1in

volume [V2]=l×b×h=5×3×1=15in³

Again

total volume =V1+V2=24in³+15in³=39in³

No links please answer quickly

Answers

as given in the diagram this is equalatral triangle where all the side and angle are same

the sum of the three angle in a triangle is always 180 degrees

as in this triangle all of the angles are the same its

[tex]5x+5x+5x= 180\\15x=180\\x= 12[/tex]

I need help with both of these if you know any of them them helppp me pls will give 20 points

Answers

Answer:

1) B. similar

2) D. (4, 2)

Step-by-step explanation:

1)

When a figure is dilated, the shapes will be similar. Reflected is another transformation so that's wrong. Same size and congruent is wrong since that would have to make the dilated size equal which can't since it's contradicting.

2)

B: (4, -2)

Reflection across the x-axis:

(x, y) → (x, -y)

(4, -2) → (x, -y)

(4, 2)

2 to the power of 12= 4,096. How many other whole numbers can you raise to a power and get 4,096?

Answers

Answer:

the numbers are 4,8,16,64 and 4096 using laws of indices

Answer:80017

Step-by-step explanation:

80017

How do I complete this chart?

Answers

Answer:

Step-by-step explanation:

You would first have to plug in for x, (which is already given). After plugging in for x, you would need to solve the equation to get y.

Once you have both x and y, you will have your (x,y)

For example: (given x value = -5)

[tex]f(x) = -|x - 5| -4\\f(-5) = -|(-5) - 5| - 4\\f(-5) = -|-10| - 4\\f(-5) = -10 - 4\\f(-5) = -14\\f(-5) = y = -14\\\\[/tex]

so:

x = -5

y = -14

( -5, -14)

I will give brainliest!! Pls help!!!

Answers

I u⁣⁣⁣ploaded t⁣⁣⁣he a⁣⁣⁣nswer t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting. H⁣⁣⁣ere's l⁣⁣⁣ink:

bit.[tex]^{}[/tex]ly/3a8Nt8n

the photo is upside down... i cannot help when it’s like this

What is the value of y in 3y + 9 = 45

Answers

Y=12, this is just a guess. Sorry if its wrong.

Is this a function? Why or why not?

Answers

Answer:

no. a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set.

PLEAESE HELP ME I WILL GIVE BRAINLYEST!!!
(01.04 MC)

What is the sign of the product (3)(−25)(7)(−24)? (10 points)

Group of answer choices

Positive, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is positive

Negative, because the products (3)(−25) and (7)(−24) are positive, and the product of two positive numbers is negative

Negative, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is negative

Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive

Answers

Answer:

Positive, because the products (3)(−25) and (7)(−24) are negative, and the product of two negative numbers is positive

Ileana buys a large circular pizza that is divided into eight equal slices. She measures along the outer edge of the crust from one piece and finds it to be 512 inches. What is the diameter of the pizza to the nearest inch? A.4 in. B.7 in. C.8 in. D.14 in.

Answers

Answer:

14 inches

Step-by-step explanation:

She measures along the outer edge of the crust from one piece and finds it to be 5.5 inches.

We need to find the diameter of the pizza. A pizza is divided into 8 equal parts.

The circumference of one part = [tex]\dfrac{2\pi r}{8}=\dfrac{\pi r}{4}[/tex]

So,

[tex]\dfrac{\pi r}{4}=5.5\\\\2r=D=14\ inch[/tex]

So, the diameter of the pizza is 14 inches.

Mrs. Fry has 5 children their ages are 5,
10, 12, 15, and 8. What is the mean
age of her children?

Answers

Answer:

The mean of the ages of the Fry children is 8.

Step-by-step explanation:

To find the mean, you add up all of the numbers given, and then divide the sum by how many numbers you are given.

5+10+12+15+8 = 40      40/5 = 8

I need help with all 8!

Answers

1) D
2)
3) B
4 ) F
5)C
6) F
7) D
8) C

I'm not sure about questions 4 and 7, but they may be correct.

I couldn't because I couldn't see the 2nd question

We are going to fence in a rectangular field that encloses 75 ft2. Determine the dimensions of the field that will require the least amount of fencing material to be used.

Answers

Answer:

For width W and length L, we have:

W = L = √(75ft^2) = 8.66ft

Step-by-step explanation:

For a rectangle of length L and width W, the area is:

A = L*W

and the perimeter is:

P = 2*L + 2*W

First, we know that the area of our rectangle is:

A = 75ft^2 = L*W

And we want to minimize the perimeter of our rectangle, then we need to minimize:

P = 2*L + 2*W

From the equation:

75ft^2 = L*W

We can isolate one of the variables, let's isolate L

L = (75ft^2)/W

We could replace this in the perimeter equation:

P(W) = 2*( (75ft^2)/W) + 2*W

P(W) = (150 ft^2)/W + 2*W

To find the minimum of the perimeter we need to look at the zero of the first derivative of P(W).

P'(W) = dP(W)/dW = -(150ft^2)/W^2 + 2

Now we need to find the value of W such that:

P'(W) = 0

0 =  -(150ft^2)/W^2 + 2

(150 ft^2)/W^2 = 2

(150ft^2) = 2*W^2

(150ft^2)/2 = W^2

75 ft^2 = W^2

√(75ft^2) = W = 8.66ft

And remember that:

L =  (75ft^2)/W

replacing with W = √(75ft^2)

L =  (75ft^2)/√(75ft^2) = √(75ft^2)

Then:

W = L = √(75ft^2) = 8.66ft

6. Samuel runs 100 yards in 16 seconds. Jake runs 150 yards in 30 seconds. Who had the greater
speed while running? Justify your answer.

Answers

Answer:

samuel runs 200 yards in 32 seconds, while jake runs 15o yards in 30 seconds. samuel has greater speed than jake

Step-by-step explanation:

Answer this question to get marked Brainliest and get 100 pts

Answers

Answer:

d

Step-by-step explanation:

Answer:

[tex]122+154i[/tex], D

Step-by-step explanation:

[tex]\mathrm{Apply\:complex\:arithmetic\:rule}:\quad \left(a+bi\right)\left(c+di\right)=\left(ac-bd\right)+\left(ad+bc\right)i[/tex]

[tex]a=14,\:b=-2,\:c=7,\:d=12[/tex]

[tex]=\left(14\cdot \:7-\left(-2\right)\cdot \:12\right)+\left(14\cdot \:12+\left(-2\right)\cdot \:7\right)i[/tex]

[tex]=122+154i[/tex]

so is not 30 so what is it? I’ll mark brainliest

Answers

Answer:

15

Step-by-step explanation:

in a triangle

base (b) = 5 cm

height (h) = 6 cm

Area of the triangle

= 1/2 * b * h

= 1/2 * 5 * 6

= 5 * 3

= 15 cm²

hope it helps :)

a local theater is showing an animated movie. They charge $5 per ticket for a child and $12 per ticket for an adult. They sell a total 342 tickets and make a total of $2550. Write and solve a system of equations that represents this situation.

Answers

Answer:

5cx12a=342t+2550

Step-by-step explanation:

C=Child

A=Adult

T=Ticket

find the value of x
(x−9/3)=2

Answers

Answer:

(x−9/3)=2    x = 5

Answer:

x = 5

Step-by-step explanation:

I hope this helps you! :D

Determine the solution to the following system of equations.

y = -2x2 + 4x + 8
y = -4x + 16

Answers

Answer: (2, 8)

Since both equations in the system are equal to y, substitute -4x + 16 for y in the quadratic equation, and then solve for x as follows.

Next, substitute x = 2 into either of the original equations to find the y-value of the solution to the system of equations.

Therefore, the solution to the given system of equations is (2,8).

The solution of the system of equations will be;

⇒ x = 2

⇒ y = 8

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

⇒ y = - 2x² + 4x + 8

⇒ y = - 4x + 16

Now,

Since, The system of equations are,

⇒ y = - 2x² + 4x + 8  ..(i)

⇒ y = - 4x + 16     ..(ii)

Substitute the value of y from (ii) in equation (i), we get;

⇒ - 4x + 16 = - 2x² + 4x + 8

⇒ - 2x² + 4x + 8 + 4x - 16 = 0

⇒ - 2x² + 8x - 8 = 0

⇒ - x² + 4x - 4 = 0

⇒ x² - 4x + 4 = 0

⇒ x = - (-4) ± √ (-4)² - 4×1×4 / 2×1

⇒ x = 4 ± √16 - 16 / 2

⇒ x = 4 / 2

⇒ x = 2

And, y = - 4x + 16

⇒ y = - 4 × 2 + 16

⇒ y = - 8 + 16

⇒ y = 8

Thus, The solution of the system of equations will be;

⇒ x = 2

⇒ y = 8

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

PLease answer ill give brainlest

Answers

Answer:

12

Step-by-step explanation:

1.5 cups a person

1.5 x 8 is 12

hello, and good morning,
help me plz with.....
what´s √1000×1000=

Answers

Answer:

[tex]\sqrt{1000\times 1000}[/tex]

[tex]=\sqrt{1000^2}[/tex]

[tex]=1000[/tex]

-------------------------

Thanks!

Have a great day!!

heyyyyyyy besties um if someone wants to help me that would be great ‼️​

Answers

Answer: constant

Step-by-step explanation:

Hope this help!

solve and graph the inequality below

Answers

Answer:

x<15

Step-by-step explanation:

11.68 - 0.48 ÷ (-1.6) =

need help I need a way to solve this problem

Answers

Step-by-step explanation:

11.68-0.48

= 11.20

11.20÷1.6

= 7.0 or 7

ahh this is the correct answer.

so if it helps don't forget to like and Mark me.

It is supposedly 7.0 or 7








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