Think of a real life situation that can be modeled by a proportion. Write a verbal model for the proportion and explain how it models the situation.

Answers

Answer 1

Answer: $4.00/10=x/1
for example if you want to buy apples that cost 4.00 dollars for 10 pounds you might want to know how much it costs for 1 pound.

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Marna is playing a game where you score -5 points each time you guess the correct answer. the goal is to get the lowest score. to win the game, marna must have a score of less than -80 points. how many correct answers does mama need to win the game?create an inequality for this

Answers

Answer: Marna has to answer more than 16 answers to win the game.

Step-by-step explanation:

Le 'x' be the number of correct answers.

If Marna is getting -5 points each time she guess the correct answer.

Then the total points she get after x correct answers= -5x

If to win the game, Marna must have a score of less than -80 points.

⇒ $-5x<-80$

If we multiply (-1) on both sides the inequality will reverse

$5x>80$

Divide both sides by 5, we get

$x>16$

Marna has to answer more than 16 answers to win the game.

Greates common factor of 10,40

Answers

40: 2,2,2,5
10: 2,5
2 5
2*5=10
GCF is 10

The Greatest Common Factor (GCF) of 10 and 40 is : 2 and 5. Why? because both of these numbers fit evenly into 10 and 40.

I hope this's useful/helpful ! :)

If devin has 3 times as many nickels as quarters and they have a combined value of 200 cents how many of each coin does he have

Answers

Devin has 15 nickel coins and 5 quarter coins.

Step-by-step explanation:

Total worth = 200 cents

1 nickel = 5 cents

1 quarter = 25 cents

Let,

Nickels = x

Quarters = y

According to given statement;

5x+25y=200 Eqn 1

x = 3y Eqn 2

Putting x=3y in Eqn 1

$5(3y)+25y=200\n15y+25y=200\n40y=200$

Dividing both sides by 40

$(40y)/(40)=(200)/(40)\ny=5$

Putting y=5 in Eqn 2

$x=3(5)\nx=15$

Devin has 15 nickel coins and 5 quarter coins.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

if a plane can travel 490 miles per hour with the wind and 450 miles per hour against the wind, find the speed of the plane without a wind and the speed of the wind.

Answers

s=plane's speed
w=windspeed

travels490 mh with wind
450 agains wind

s+w=490mph
s-w=450
add them toegether

s+w=490
s-w=450 +
2s+0w=940

2s=940
divide by 2
s=470
find wind speed
s+w=490
470+w=490
w=20

windspeed=20mph
planespeed=470mph

The accurate answer will be 470mi/hour

Luisa mows lawns during the summer. She charges $15 if she cuts the grass but charges $5 more if she also trims the grass. Last week she trimmed 5 more yards than she cut. If she made $415 last week, how many yards did she trim?

Answers

Well, those 5 extra yards had given her an extra $100, so the yards she cut, plus those she trimmed, had given her $315. To cut one and trim another one she takes $35. This means 9 yards were cut and 14 trimmed. (do a division, 315/35=9).

Answer:

315÷35=9

Step-by-step explanation:

5 extra yards had given her an extra $100, so the yards she cut, plus those she trimmed, had given her $315. To cut one and trim another one she takes $35. This means 9 yards were cut and 14 trimmed. (315÷35=9)

Please help with these math questions

Answers

1.
a^2+b^2=c^2
easy
a=a
b=13
c=21
a^2+13^2=21^2
a^2+169=441
minus 169 both sides
a^2=272
sqrt both sides
a=16.4924
D is answer

2. same thing
a=18
b=26
18^2+26^2=c^2
324+676=c^2
1000=c^2
sqrt both sides
31.6228=c
C is answer

3.
one way is to plug them in
remember that hypotonuse is longest side
A. 7^2+24^2=25^2, is that true?, yes it is treu
answer is A

4.
legs are 6 and 4
a=6
b=4
c=x
4^2+6^2=x^2
16+36=x^2
52=x^2
sqrt both sides
7.2111=x
7.2=x

5.c=20
a=x
b=14

x^2+14^2=20^2
x^2+196=400
minus 196 both sides
x^2=204
sqrt both sides
x=14.2829
x=14.3

1. D
2. C
3. A
4. 7.2
5. 14.3

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