1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
balandron [24]
3 years ago
13

Simplify the expression, then evaluate when x=5 and y=6. x(y+4)+3(2x+7y)

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
3 0

Answer:

Simplification

x(y+4)+3(2x+7y) = xy + 10x + 21y

= x(y + 10) + 21y

On evaluation when x=5 and y=6,

The expression is equal to 206

Step-by-step explanation:

Note that x and y are unknown variables.

On expansion,

x(y+4)+3(2x+7y)

= xXy + xX4 + 3X2x + 3X7y

= xy + 4x + 6x + 21y

= xy + 10x + 21y

On factorising,

xy + 10x + 21y = x(y + 10) + 21y

Evaluation when x=5 and y = 6

We substitute the given values of x and y into the simplified expression

xy + 10x + 21y

= 5X6 + 10X5 + 21X6

= 30 + 50 + 126

= 206

Therefore, on evaluation of the given expression, when x=5 and y=6, we get 206

You might be interested in
One number is times a first number. A third number is 100 more than the first number. If the sum of the three numbers
icang [17]

When a number is 3 times a first number. A third number is 100 more than the first number and the sum of the three numbers is 450, the numbers are 70, 170 and 210.

<h3>How to calculate the numbers?</h3>

Let the first number = x

Second number = 3x

Third number = x + 100

Sum = 450

The numbers will be:

x + 3x + x + 100 = 450

5x + 100 = 450

5x = 450 - 100

5x = 350

Divide

x = 350 / 5

x = 70

First number = 70

Second number = 3x = 3 × 70 = 210

Third number = x + 100 = 70 + 100 = 170

Therefore, the numbers are 70, 170 and 210.

Learn more about numbers on:

brainly.com/question/24644930

#SPJ1

One number is 3 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 450 , find the numbers.

8 0
1 year ago
True or false Exterior angles are the angles created when the sides of the triangle are shortened.
Naddika [18.5K]

Answer:

The statement is false. Exterior angles are the angles created when the sides of the triangle are extended

Step-by-step explanation:

In order to find the exterior angle of a polygon, the side of the polygon is extended to go past the vertex of the polygon to form an angle adjacent and supplementary to the the interior angle of the polygon at the vertex of the polygon where the exterior angle is formed.

The sum of the exterior angle and the adjacent interior angle is equal to 180°

The exterior angle can also be described as being formed by one side of a polygon and an extension of the adjacent side to previous side of the same polygon and it can also be referred to as a turning or an external angle.

8 0
3 years ago
a company can make 5000 crayons in 6 minutes how many crayons can be made in 3 hours. please show the steps!
Sloan [31]
6 mins goes into 60 mins ten times.
so, first do
5000 \times 10 = 50000
now 50000 crauons are being made in 1 hour but your are trying to find how many crayons are being made in 3 hours
so, you multiply
50000 \times 3 = 150000
150000 is how many crayons are made in 3 hours.
7 0
3 years ago
Whats the correct answer ?
11Alexandr11 [23.1K]

Answer:

$80, $48

Step-by-step explanation:

The original price was x.

The price is reduced by 40%. The markdown is 40% of x, or 0.4x.

The actual dollar amount of the markdown is $32.

That means that 0.4x must equal $32.

We set up an equation and solve for x, the original price.

0.4x = 32

Divide both sides by 0.4

x = 32/0.4

x = 80

The original price is $80.

The markdown is $32.

$80 - $32 = $48

The marked down price is $48.

Answer: $80, $48

3 0
3 years ago
What is the ratio of the number of days in the week that do not begin with the letter "T" to the number of days in the week that
ruslelena [56]

Answer:

  2 : 5

Step-by-step explanation:

2 days of the week begin with the letter T (Tuesday, Thursday).

5 days of the week do not begin with the letter T (Sunday, Monday, Wednesday, Friday, Saturday).

The ratio of those that do to those that do not is ...

  (begin with T) : (do not begin with T)

  2 : 5

6 0
3 years ago
Other questions:
  • PLS HELP ME WITH THIS!
    8·1 answer
  • Please help iready math
    9·2 answers
  • Please can u tell me the answer and method
    10·1 answer
  • A tourist from Britain wants to exchange her British pounds for US dollar. She has 25 British pounds. How many US dollars would
    10·1 answer
  • 7 units up equation for each translation of y=|x|
    6·1 answer
  • The volume (V) of a cylinder can be found using the formula V = (pi)r^2h, where r is the radius and h is the height. A cylinder
    11·1 answer
  • When your classmates began their hike, they
    13·2 answers
  • How does a fraction model help you
    10·1 answer
  • 5) The solution to 7X2 + 2X – 1 = 0 can be written as:
    14·2 answers
  • Hope somebody answers this!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!