MATHEMATICS HIGH SCHOOL

Claire and Richard are both artists who paint canvas. Claire uses the polynomial 50x^2+250 to decide how much to charge for her paintings. Richard uses the polynomial 40x^2+350 to decide how much to charge for his paintings.In each polynomial x is the height of the painting in feet. To the nearest tenth for what height will both Claire and Richard charge the same amount for a painting?

Answers

Answer 1

Answer:

Answer:

3.2 ft

Step-by-step explanation:

50x²+250=40 x²+350

50x²-40x²=350-250

10x²=100

x²=100/10=10

x=√10≈3.1623≈3.2 ft

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What is 8/32 is simplest form

Answers

$(8)/(32)=(8:2)/(32:2)=(4)/(16)=(4:2)/(16:2)=(2)/(8)=(2:2)/(8:2)=\boxed{(1)/(4)}$

8/32 is 1/4 in its simplists form as 8 is the highest number that divdes the top and bottom

About how many molecules of water are in a swimming pool that holds 200 m^3 of water ? Write your answer in scientific notation . Please , I need your help !

Answers

metric is very conveinient
1gram=1cm^3 of water
1m^3=1,000,000,000 grams

water is 18.015 grams per mole
(1,000,000 grams water)/(18.015 grams/mole) = 55509.3 moles

there are 6.02e23 molecules in 1 mole of water so
55509.3 moles * (6.0221E23) = 3.3428E27 molecules of water in 1m^3 of water
so we have200 of those
200 times 3.3428E27=6.6856E29 molecules

answer is 6.6856 times 10^29 mlecules

A necklace has and matching bracelet have two types of beads. The necklace has 12 large beads and 8 small beads and weighs 88 grams. The bracelet has 5 large beads and 2 small beads and weighs 25 grams. Write and solve a system of equations to find the weight of a large bead and weight of a small bead.

Answers

Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.

Step-by-step explanation:

Let,

Weight of one large bead = x

Weight of one small bead = y

According to given statement;

12x+8y=88 Eqn 1

5x+2y=25 Eqn 2

Multiplying Eqn 2 by 4

$4(5x+2y=25)\n20x+8y=100\ \ \ Eqn\ 3\n$

Subtracting Eqn 1 from Eqn 3

$(20x+8y)-(12x+8y)=100-88\n20x+8y-12x-8y=12\n8x=12$

Dividing both sides by 8

$(8x)/(8)=(12)/(8)\nx=1.5$

Putting x=1.5 in Eqn 1

$12(1.5)+8y=88\n18+8y=88\n8y=88-18\n8y=70$

Dividing both sides by 8

$(8y)/(8)=(70)/(8)\ny=8.75$

Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

The sum of two numbers is 83 and one of the number is x. what is the other number?

Answers

The other number is (83 - x).

$x+y=83\n \boxed{y=83-x}$

Solve 8m² + 20m = 12 for m by factoring

Please show all work

Answers

$8m^(2)+20m=12 / :2$
$4m^(2)+10m=6$
$4m^(2)+10m-6 =0$
$\Delta=b^(2)-4ac$
$\Delta=100-(4*4*-6)$
$\Delta=100+96=196$
$x1=(-b-√(\Delta))/(8)$
$x1=(-10-14)/(8)$
$x1=(-24)/(8)$
$x1=-3$
$x1=(-b+√(\Delta))/(8)$
$x2=(-10+14)/(8)$
$x2=(1)/(2)$

so you can write $8m^(2)+20m=12 / :2$ as

$8(m+3)(m-(1)/(2))=8*[m^(2)+2.5m-1.5]=0$

All the people of a neighborhood pooled together and won the lottery they won 10,000,000 and each person got a 0.02 share. How much money did each person receive?

Answers

Answer:

500000000

Step-by-step explanation:

10000000 ÷ 0.02

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