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3 years ago

Can you help me, please

Mathematics

1 answer:

mars1129 [50]3 years ago

5 0

Answer:

you: 25h + 100

friend: 20h + 120

same amount of pages: 4 hours

Step-by-step explanation:

Every hour you read 25 pages. I used h to represent hour. It doesnt really matter. That starts your equation at 25h. You already read 100 pages, so we simply add 100 and thats your equation. We use the same thinking for the friend's equation.

To find how many hours it will take for them to read the same amount, we write the equations as an equality. Because we need them to be the same, see?

Work through the equation to get your h on one side and the numbers on the other. We come up with 4.

You might be interested in

(3b^3)^2 without exponents

mars1129 [50]

Answer:

When (3b³)² is simplified, it equals 3b⁶

Step-by-step explanation:

3 × 2 = 6

The exponent is 6

7 0

3 years ago

What is the solution of the system?

Kryger [21]

Greetings!

Solve the System, using Elimination:
$\left \{ {{4x+2y=18} \atop {2x+3y=15}} \right.$

Multiply Equation #2 by 2:
$\left \{ {{4x+2y=18} \atop {2(2x+3y)=2(15)}} \right.$

$\left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.$

Eliminate variable x:
$-\frac{ \left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.}{0x-4y=-12}$

$4y=-12$

Divide both sides by 4:
$\frac{4y}{4}= \frac{12}{4}$

$y=3$

Input this value into one of the Equations:
$4x+2y=18$

$4x+2(3)=18$

Simplify:
$4x+6=18$

$(4x+6)+(-6)=(18)+(-6)$

$4x=12$

Divide both sides by 4.
$\frac{4x}{4}= \frac{12}{4}$

$x=3$

The Solution to this System (The Point of Intersection):
$\boxed{(3,3)}$

I hope this helped!
-Benjamin

7 0

3 years ago

Moe puts $1500 in a bank certificate that pays an annual rate of 4.5% compounded annually. No withdrawals or deposits are made.

SpyIntel [72]

Answer:

FV= $2,041.29

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,500

Number of periods (n)= 7 years

Interest rate (i)= 4.5% = 0.045

<u>To calculate the future value, we need to use the following formula:</u>

FV= PV*(1+i)^n

FV= 1,500*(1.045^7)

FV= $2,041.29

6 0

3 years ago

The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of units. A solid right pyramid

Xelga [282]

Answer:

$6 x^2*\sqrt{3}$

Step-by-step explanation:

The base of the pyramid we need to study is a hexagon.

Let's look at the attached image of an hexagon to understand how we are going to find the area of this figure.

Notice that an hexagon is the combination of 6 exactly equal equilateral triangles in our case of size "2x" (notice that the "radius" of the hexagon is given as "2x")

Therefore the area of the hexagon is going to be 6 times the area of one of those equilateral triangles.

We know the area of a triangle is the product of its base times its height, divided by 2: $\frac{base*height}{2} = \frac{2x*height}{2}$

We notice that the triangle's height is exactly what is called the "apothem" of the hexagon (depicted in green in our figure) which measures $x\sqrt{3}$ , so replacing this value in the formula above for the area of one of the triangles: