What is the result when you combine only the constants in the following expression?
3 a minus 6 b + 3 minus 7 a + 10

"The sum of two numbers is 20" can be translated mathematically into the equation:

x + y = 20.

"... and their difference is 10" can be translated mathematically as:

x - y = 10

We can now find the two unknown numbers, x and y, because we now have a system of two equations in two unknowns, x and y. We'll use the Addition-Subtraction Method, also know as the Elimination Method, to solve this system of equations for x and y by first eliminating one of the variables, y, by adding the second equation to the first equation to get a third equation in just one unknown, x, as follows:

Adding the two equations will eliminate the variable y:

x + y = 20

x - y = 10

-----------

2x + 0 = 30

2x = 30

(2x)/2 = 30/2

(2/2)x = 15

(1)x = 15

x = 15

Now, substitute x = 15 back into one of the two original equations. Let's use the equation showing the sum of x and y as follows (Note: We could have used the other equation instead):

x + y = 20

15 + y = 20

15 - 15 + y = 20 - 15

0 + y = 5

y = 5

CHECK:

In order for x = 15 and y = 5 to be the solution to our original system of two linear equations in two unknowns, x and y, this pair of numbers must satisfy BOTH equations as follows:

x + y = 20 x - y = 10

15 + 5 = 20 15 - 5 = 10

20 = 20 10 = 10

Therefore, x = 15 and y = 5 is indeed the solution to our original system of two linear equations in two unknowns, x and y, and the product of the two numbers x = 15 and y = 5 is:

xy = 15(5)

xy = 75

Answer:

no.D) 18% is the answer of this question

Answer:

[tex]|x - y| > 10[/tex] ---- Nita wins

[tex]|x - y| < 10[/tex] --- Eric wins

Step-by-step explanation:

The complete instruction is to determine the range at which Erik or Nita wins.

To start with, let

[tex]x \to[/tex] Erik's score

[tex]y \to[/tex] Nita's score

If the difference is greater than 10, the Nita wins.

This implies that:

[tex]|x - y| > 10[/tex] ---- Nita

If less than 10, then Eric wins

This implies that:

[tex]|x - y| < 10[/tex] --- Eric wins

Now, assume that Nita chose 5.

For Nita to win, we have:

[tex]|x - y| > 10[/tex]

[tex]|x - 5| > 10[/tex]

Remove the absolute symbol

[tex]-10 > x - 5 > 10[/tex]

Split

[tex]-10 > x - 5\ or\ x - 5 > 10[/tex]

Solve for x

[tex]5 -10 > x \ or\ x > 10 + 5[/tex]

[tex]-5> x \ or\ x > 15[/tex]

Rewrite as:

[tex]x< -5 \ or\ x > 15[/tex]

x cannot be negative.

So:

[tex]x > 15[/tex]

x cannot exceed 20.

So:

[tex]15 < x \le 20[/tex]

Answer:

A. 45°

Step-by-step explanation:

I calculated it logically

Answer:

V = 4.187r³

Step-by-step explanation:

Volume of a sphere is expressed using the formula;

V = 4/3πr³

r is the radius

Substitute π = 3.14 into the formula

V = 4/3 * 3.14r³

V = 4.187r³

Hence the volume of a sphere in terms of the radius is V = 4.187r³

Answer:

35-P=25

Step-by-step explanation:

P= Number of players he cut

Answer:

46.5

Step-by-step explanation:

Using the Pythagoras' Theorem, this is the answer you would get.

I hope this helped☺

Answer:

no solution

Step-by-step explanation:

Given

2(x + 4) - 6 = 2(x - 8) + 1 ← distribute and simplify both sides

2x + 8 - 6 = 2x - 16 + 1

2x + 2 = 2x - 15 ( subtract 2 from both sides )

2x = 2x - 17 ( subtract 2x from both sides )

0 = - 17 ← not possible

This indicates the equation has no solution

Answer:

D) 580%

Step-by-step explanation:

you move the decimal to the right twice.

5.8 ---> 580%

hope this helps :)

Answer:

715000

Step-by-step explanation:

1300000 • 55%,

55% = 0.55

1300000 • 0.55 = 715000

Answer

The area is 54cm² To get the area i split the shape into two shape both having a length of 9in and a width of 3in. I calculate the area for one by using lxw=area and get 27 and times that by two to get 54.

When calculating the area for this object you get 54 and you add the ²symbol because its area is not one dimensioned it is two dimensioned or length times width not just length, so you use the ² symbol to show that.

Answer:

the answer is

b.)42cm2

Step-by-step explanation:

if u add all the figures together u will get ur answer

Answer:

Total sales made = $ 4500

Step-by-step explanation:

The complete question is

Bia earns a commission on the sales she makes each month. Within a month, Bia earns a 3%  commission on the first $3000 she has in sales. She earns a  4.5 % commission on the amount of her sales that are greater than $3000 .This month, Bia earned  in commission $157.50. How much money, in dollars, did she have in sales? Enter a number in the space provided.

Solution

3% of the total sales made is the commission on the first $3000 for Bia and on the remaining sum of money the profit made was

Thus,

3% of 3000 + 4.5% of (X -3000) = $157.50

On solving we get -

3% * 3000 + 4.5% * (X-3000) = $157.50

$90 + 4.5% * (X-3000)  = $157.50

$90 + 0.045 X - $135 = $157.50

0.045 X =  $157.50 + $135 - $90

X = 4500

Total sales made = $ 4500

Given:

The slope of the line joining points (3,2) and (0,a) is -1.

To find:

The value of a.

Solution:

If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope of a line is:

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

The slope of the line joining points (3,2) and (0,a) is -1. So,

[tex]\dfrac{a-2}{0-3}=-1[/tex]

[tex]\dfrac{a-2}{-3}=-1[/tex]

Multiply both sides by -3.

[tex]a-2=-1(-3)[/tex]

[tex]a-2=3[/tex]

[tex]a=3+2[/tex]

[tex]a=5[/tex]

Therefore, the value of a is 5.

Answer:

answer is A

Step-by-step explanation:

50+90=140

180-140=40

brainliest plz

Answer:

B and D

Step-by-step explanation:

Answer:

The 24 because it is suposed to cost 6.76 and it cost 5.90.

It would be 98 ft,

when you add all the numbers you would get 98, 21 + 7 + 6 + 21 + 15 + 28 = 98

Answer:

B. Combination; number of ways = 15

Step-by-step explanation:

Since order doesn't matter, this is a combination:

6 choose 2 = 6 nCr 2 = 6!/(6-2)!2! = 720/(24)(2) = 720/48 = 15

Therefore, there are 15 possible ways to choose 2 co-captains out of 6.

Combination; the number of ways = 15.

Option B is the correct answer.

It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

We have,

The problem involves selecting two seniors out of a group of six seniors, which is a combination problem.

The number of ways to choose two seniors out of six seniors is given by the formula:

C(6,2) = 6! / (2! * 4!) = 15

Therefore,

Combination; the number of ways = 15.

Learn more about combination here:

https://brainly.com/question/14355408

#SPJ5

9514 1404 393

Answer:

  4 bags -- the correct answer is marked

Step-by-step explanation:

The area of a parallelogram is given by the formula ...

  A = bh

where b is the base length and h is the height.

Here, the base is the sum of lengths 2.5 yd and 6.5 yd. The height is given as 6 yd. So, the area is ...

  A = (2.5 yd + 6.5 yd)(6 yd) = 54 yd²

At 15 yd² per bag, the farmer will need ...

  (54 yd²)/(15 yd²/bag) = 3 3/5 bags

Assuming the farmer can purchase only whole bags, the farmer should purchase 4 bags of soil.

Answer:

100.05 in^2

Step-by-step explanation:

Area of parallelogram: base times height

=11.5 x 8.7=100.05 in^2

Answer:

900

Step-by-step explanation:

(n-2)*180

5*180=900

Answer:

900°

Step-by-step explanation:

The polygon shown in the picture has 7 sides. The formula for finding the sum of interior angles of an n-gon is:

(n - 2)(180)

We can substitute in 7 for n to get the sum:

(7 - 2)(180)

(5)(180)

900°

Answer:

110:55

Step-by-step explanation:

first, let's simplify all our options

110:55=10:5

the first one works!

(to check if you're not sure, ratios are fractions. using the numerator to divide, you can divide the numerator by the denominator. in this case, the numerator happens to be greater. 110/55=2. 10/5=2. they both equal to 2! they are equivalent. you can use this to solve other problems!!)

24:2= 12:1

this does not work

14:6= 7:3

this does not work

the only one that works is 110:55

hope this helped <33333

Answer:

yes

Step-by-step explanation:

mark me brainlist please

Answer:

the answer is d  

Step-by-step explanation:

Answer:

12 shirts

Step-by-step explanation:

Since John has 8 pants and 2 x 4 is equal to 8. Then you must multiply the number of shirts by 4 (3 x 4) to give you the number of shirts, which is 12.

Check:

2/3 is equivalent to 8/12

Hope this helps :)

Answer:

58 students

Step-by-step explanation:

Given

[tex]Total = 85[/tex]

[tex]French = 27[/tex]

[tex]Geometry = 51[/tex]

[tex]History = 38[/tex]

[tex]None = 5[/tex]

[tex]All = 2[/tex]

Required

Students that take only 1 subjects

The attached image illustrates the question.

For French only (x), we have:

[tex]x + 7 -2+10-2+2=27[/tex]

[tex]x + 15=27[/tex]

Collect like terms

[tex]x =- 15+27[/tex]

[tex]x =12[/tex]

For Geometry only (y), we have:

[tex]y+10-2+15-2+2=51[/tex]

[tex]y+23=51[/tex]

Collect like terms

[tex]y=-23+51[/tex]

[tex]y=28[/tex]

For History only (z), we have:

[tex]z +15-2+7-2+2=38[/tex]

[tex]z +20=38[/tex]

Collect like terms

[tex]z =-20+38[/tex]

[tex]z =18[/tex]

Students with one subject is then calculated as:

[tex]1\ subject = x+y+z[/tex]

[tex]1\ subject = 12 + 28 + 18[/tex]

[tex]1\ subject = 58[/tex]

Answer:

9.4 ounces

Step-by-step explanation:

this equation can be derived from the question

$5.75 + $0.45t = 10

where t = ounces of toppings

combine like terms

$0.45t = 10 - $5.75

$0.45t = $4.25

t = 4.25 / 0.45

t = 9.4 ounces