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3 years ago

(2x + 5)(x2 + 5x + 1)

Mathematics

1 answer:

posledela3 years ago

7 0

Answer:

2x^3 + 15x^2 + 27x + 5

Step-by-step explanation:

2x(x^2 + 5x + 1) + 5(x^2 + 5x + 1)

2x^3 + 10x^2 + 2x + 5x^2 + 25x + 5.....then

add the values with the same variables...

2x^3 + (10x^2 + 5x^2) + (2x + 25x) + 5

; 2x^3 + 15x^2 + 27x + 5

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There are four erasers but only three pencils write the ratio of erasers to pencils

iris [78.8K]

4:3
4 to 3
4/3
I wrote all the three ways

3 0

3 years ago

Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?

grigory [225]

cost of pencil = x = 0.07

and cost of eraser = y = 0.03

Step-by-step explanation:

let cost of pencil = x

and cost of eraser = y

So, we have equations:

$4x+3y=0.37\\3x+4y=0.33$

Solving both equations to find value of x and y

Let:

$4x+3y=0.37\,\,\,eq(1)\\3x+4y=0.33\,\,\,eq(2)$

Multiply eq(1) with 4 and eq(2) with 3 and subtract

$16x+12y=1.48\\9x+12y=0.99\\-\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-\\--------\\7x=0.49\\x=0.07$

Putting value of x in equation 1:

$4x+3y=0.37\\4(0.07)+3y=0.37\\0.28+3y=0.37\\3y=0.37-0.28\\3y=0.09\\y=0.03$

So, x= 0.07 and y = 0.03

cost of pencil = x = 0.07

and cost of eraser = y = 0.03

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

4 0

3 years ago

Lena found a 5/8

DENIUS [597]

Answer:

Naomi had the correct measurement the ring weighed 0.625 carats

Step-by-step explanation:

* The diamond ring weighed 5/8 carats

- To know who is right lets change the fraction 5/8 to a decimal number

∵ 5/8 means 5 ÷ 8

- 5 is smaller than 8 so we will multiply it by 10 and

insert decimal point in the quotient (answer of division)

∴ It will be 50 ÷ 8 = 6 and remainder 2/8 ⇒ 1/4

∴ The quotient = 0.6 and remainder 1/4

- 1 is smaller than 4 so we will multiply it by 10

∴ It will be 10 ÷ 4 = 2 and remainder 2/4 ⇒ 1/2

∴ The quotient = 0.62 and remainder 1/2

- 1 is smaller than 2 so we will multiply it by 10

∴ It will be 10 ÷ 2 = 5 without remainder

∴ The quotient = 0.625

* Naomi had the correct measurement the ring weighed 0.625 carats

8 0

3 years ago

Read 2 more answers

A number increased by 5 is less than or equal to 26

blagie [28]

Answer:

Equation: x + 5 ≤ 26

Solved: x ≤ 21

3 0

3 years ago

Select the correct answer from each drop-down menu. the four vertices of an inscribed quadrilateral divide a circle in the ratio

AleksandrR [38]

The four angles of a quadrilateral are 30°, 60°, 150°, and 120° if the four vertices of an inscribed quadrilateral divide a circle in the ratio 1:2:5:4.

<h3>What is quadrilateral?</h3>

It is defined as the four-sided polygon in geometry having four edges and four corners.

We have the four vertices of an inscribed quadrilateral divide a circle in the ratio:

1:2:5:4

Let the sides of the quadrilateral be x, 2x, 5x, 4x.

We know the sum of all angles of quadrilateral = 360°

x+2x+5x+4x=360

12x = 360

First angle, x = 30°

Seconds angle, 2x = 2×30 ⇒ 60°

Third angle, 5x = 5×30 ⇒ 150°

Fourth angle, 4x = 4×30 ⇒ 120°

Thus, the four angles of a quadrilateral are 30°, 60°, 150°, and 120°

Learn more about the quadrilateral here:

brainly.com/question/6321910

3 0

2 years ago