MATHEMATICS MIDDLE SCHOOL

Solve the following nonlinear system algebraically. $\left \{ {{y-9=2x} \atop {5x^2+y^2=54}} \right.$

Answers

Answer 1

Answer:

Answer:

x=-1,y=7

x=-3,y=3

Step-by-step explanation:

y=2x+9

5x^2+(2x+9)^2=54

0=(3x+9)(3x+3)

Answer 2

Answer: y-9=2x
-9 -9
y=2x+9
5x2+(2x+9)^2=54

(-3, 3)
(-1, 7)

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What does 64/100 represent as a ratio and a percent

Write fifty-three
hundredths in
standard form.

Answers

Answer:

O.53 is the answer.

Step-by-step explanation:

Since standard form is more like number form, fifty three hundredths would be 0.53 in standard form.

. Marcus has 50 tokens to spend at the schoolcarnival. The Ferris wheel costs 7 tokens and
the carousel costs 5 tokens. The inequality
7x + 5y = 50 represents the possible ways
Marcus could use his tokens on the two rides.
Is the ordered pair (6, 3) a solution for the
problem situation?

Answers

Answer:

The ordered pair (6,3) can not be a solution for the problem situation.

Step-by-step explanation:

Marcus has total 50 tokens to spend at the carnival.

Now, given that the Ferris wheel costs 7 tokens and the carousel costs 5 tokens.

So, if Marcus play the Ferris wheel for x times and the carousel for y times, the total expenditure will be given by

7x + 5y = 50 ............ (1)

Now, the ordered pair (6,3) i.e. x = 6 and y = 3 does not satisfy the above relation equation (1).

So, the ordered pair (6,3) can not be a solution for the problem situation. (Answer)

Tom drank 1 1/4 quarts of water and his sister Jane drank 1.75 quarts of water. Write the amount that Jane drank using afraction. Who drank more water?
(Doesn’t have choices)

Answers

Answer:

Jane drank 1 3/4 quarts of water.

Jane drank more water than Tom

Step-by-step explanation:

Tom drank = 1 1/4 quarts of water

Jane drank = 1.75 quarts of water

We have to write the amount of water Jane drank in fraction.

There are some steps to convert decimal into fraction.

Step 1:

Value is 1.75:

Put the 1 aside and just work on 0.75

Write down the decimal value divided by 1

Like, 0.75/1

Step 2:

Now multiply both the numerator and denominator by 100.

We will multiply the numerator and denominator by 100 because 1.75 has two values after the decimal.

0.75 *100/1*100

75/100

Step 3:

Simplify the fraction.

divide the fraction by 5.

=15/20

=3/4

Now bring back the 1: and the fraction will become.

1 3/4

Jane drank 1 3/4 quarts of water.

Now who drank more water?

Jane drank more water than Tom

Reason:

Tom drank 1 1/4 = 5/4

Jane drank 1 3/4 = 7/4

Both the fractions have same denominator, so the value with the greater numerator drank more water than the other.

Therefore Jane drank more water than Tom....

Someone help I really need this answered it’s very important!!

Answers

Answer:

74 degrees

Step-by-step explanation:

180 degrees-32 degrees

=148 degrees/2

1=74 degrees

What integer represents a credit of $35 if zero represents the original balance?

Answers

Integers are the whole numbers who can take both negative as well as positive values. The integer represents a credit of $35 is +35.

Zero represents the original balance in the account.

Now, the amount of $35 is credited.

Representation:

When the amount of $35 dollar credited then it can be represented with the green color of positive 35 integer in the account.

Thus, the amount is credited should be represented as +35 dollar.

To know more about it, please refer to the link:

brainly.com/question/11082920

it should be -35 because negative interfere represent below zero

How do i solve 4/9+5/6

Answers

We must find the common denominator.

It's LCM of 9 and 6.

Multiples of 6: 0, 6, 12, 18, 24, ...

Multiples of 9: 0, 9, 18, 27, ...

LCM(6, 9) = 18

18 = 3 · 6

18 = 2 · 9

$(4)/(9)=(4\cdot2)/(9\cdot2)=(8)/(18)\n\n(5)/(6)=(5\cdot3)/(6\cdot3)=(15)/(18)\n\n(4)/(9)+(5)/(6)=(8)/(18)+(15)/(18)=(8+15)/(18)=(23)/(18)=(18+5)/(18)=1(5)/(18)$

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Other method:

$(4)/(9)+(5)/(6)=(4\cdot6)/(9\cdot6)+(5\cdot9)/(6\cdot9)=(24)/(54)+(45)/(54)=(24+45)/(54)=(69)/(54)=(54+15)/(54)\n\n=1(15)/(54)=1(15:3)/(54:3)=1(5)/(18)$