MATHEMATICS MIDDLE SCHOOL

Do the ratios 20:8 and 7:3 form a proportion?

Answers

Answer 1

Answer:

Answer:

No, the ratios 20:8 and 7:3 do not form a proportion.

Step-by-step explanation:

If it is 20:8 to 7:2.8 then it would form a proportion.

Hope this helps.

Answer 2

Answer: No this does not form a proportion

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Answers

Answer:

-3

Step-by-step explanation:

-1+2=1

-9+5=-4

1-4=-3

Solve, using the substitution method. y – 3x = 7
21 + 9x = 3y

A. There is no solution.

B. There are an infinite number of solutions.

C. The solution is (1, 10)

D. The solution is (28, 0)

Answers

The system of equations are solved using substitution method and there are infinite number of solutions

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

To solve the given system of equations using the substitution method, we can follow these steps:

Step 1:

Solve one of the equations for one variable in terms of the other variable.

Let's solve the first equation, y - 3x = 7, for y in terms of x:

y = 3x + 7

Step 2:

Substitute the expression for the solved variable into the other equation.

Substitute the expression for y from step 1, which is 3x + 7, into the second equation, 21 + 9x = 3y:

21 + 9x = 3(3x + 7)

Step 3:

Simplify and solve for the remaining variable.

Now we can simplify the equation and solve for x:

21 + 9x = 9x + 21

0 = 0

Hence , resulting equation is a true statement, 0 = 0, which means that the system of equations is dependent and there are an infinite number of solutions.

To learn more about equations click :

brainly.com/question/19297665

#SPJ3

The answer is B

let me show my answer

-3x+y=7;9x+21=3y

Solve -3x+y=7 for y

Add 3x to both sides

-3x+y+3x=7+3x

y=3x+7

Substitute 3x+7 for y in 9x+21 =3y

9x+21=3y

9x+21=3(3x+7)

Simplify both sides of the equation

9x+21=9x+21

Add -9x to both sides

9x+21+-9x=9x+21+-9x

21=21

Add -21 to both sides

21+-21=21+-21

0=0

Answer : B , Infinitely many solutions

I hope that's help !

Have a great day !

The population of a city is expected to increase by 7.5% next year. If p represents the current population, write an expression that represents the expected population next year?

Answers

Answer: 1.75p

Step-by-step explanation:

Let 'p' represents the current population.

The increase in the population of the city =7.5%

Therefore, the expected population next year= Current population+75% of the current population

$=p+75\%\ of\ p\ \n=p+0.75p....\text{[convert percent into decimal]}\n=p(1+0.75).........\text{[take p as common outside]}\n=p(1.75)=1.75p$

Hence, the expected population next year= 1.75p

$p+7.5\%p=p+0.075p=\boxed{1.075p}$

Express the phrase as a rate and a unit rate: 20 dollars for 4 books

Answers

20÷4=5 you have to do 5/1 is the unit rate

the answer is 5 dollars per book.

The number of chips of different colors in Gail's bag is shown below:3 blue chips
4 pink chips
8 white chips
Gail takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Gail takes out a white chip in both draws?
A. $(8)/(15)$ + $(7)/(14)$ = $(217)/(210)$
B. $(8)/(15)$ × $(7)/(14)$ = $(56)/(210)$
C. $(8)/(15)$ + $(8)/(15)$ = $(16)/(15)$
D. $(8)/(15)$ × $(8)/(15)$ = $(64)/(225)$

Answers

Answer:

$(8)/(15) * (8)/(15)=(64)/(225)$

Step-by-step explanation:

Given : 3 blue chips

4 pink chips

8 white chips

To Find: What is the probability that Gail takes out a white chip in both draws with replacement?

Solution:

Blue chips =3

Pink chips =4

White chips =8

Total chips = 3+4+8 =15

Now Probability of getting white chip on first draw = $\frac{\text{Number of white chips }}{\text{Total no. of chips}}$

= $(8)/(15)$

Now ,She replaces the chip and then takes out another chip from the bag.

So, Probability of getting white chip on second draw = $(8)/(15)$

Probability of getting white chip in both draws = $(8)/(15) * (8)/(15)=(64)/(225)$

Hence the probability that Gail takes out a white chip in both draws is $(8)/(15) * (8)/(15)=(64)/(225)$

Thus Option D is correct.

most likely the probability is D because my mom said it is d i dont know how she got it

When measuring distance 12 beads are approximately equal to 6 erasers. how many erasers are equal to 18 beads? How many beads are equal to 42 erasers?

Answers

Well, since 12 divided by 6 would equal 2. So 9 erasers would equal to 18 beads (18 ÷ 2). 21 beads equal 42 erasers.

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