MATHEMATICS MIDDLE SCHOOL

Alba needed to know about how much the sum of 19.6, 23.8, and 38.4 is. She correctly rounded each of these numbers to the nearest whole number. What three numbers did she use? *A 19, 23, 23
B 19, 24, 38
C 20, 24, 38
D 20, 24, 39

Answers

Answer 1
Answer: If the number after the decimal is 1-4 you drop it, if it's 5-9 you add one to the whole number. In 19.6, 6 is 5-9 so you add one to 19- 19.6=20. In 23.8, 8 is 5-9 so add one to 23- 23.8=24. In 38.4, 4 is 1-4 so you drop it- 38.4=38. So the answer is C. 20, 24, 38 :) hope this helps

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Find an equivalent system of equations for the following system: 3x + 3y = 0 −4x + 4y = −8 3x + 3y = 0 7x − y = 8 3x + 3y = 0 −7x − y = 8 3x + 3y = 0 −7x + 7y = 8 3x + 3y = 0 −4x + 7y = 8

Answers

Answer:

A.

3x + 3y = 0

7x − y = 8

Step-by-step explanation:

Given

3x + 3y = 0

-4x + 4y = -8

Required

Find the equivalent

To solve for the equivalent we simply solve for x and y in the given equation.

Subtract 3x from both sides in 3x + 3y = 0

3x - 3x + 3y = 0 - 3x

3y = -3x

Multiply both sides by ⅓

⅓ * 3y = -3x * ⅓

y = -x

Substitute -x for y in -4x + 4y = -8

-4x + 4(-x) = -8

-4x -4x = -8

-8x = -8

Multiply both sides by -⅛

-⅛ * -8x = -⅛ * -8

x = 1

Recall that y = -x

y = -1

So, we have that x = 1 and y = -1

We'll substitute these values in the list of options;

A.

3x + 3y = 0

7x − y = 8

7(1) - -(1) = 8

7 + 1 = 8 ----- This is equivalent

B.

3x + 3y = 0

−7x − y = 8

-7(1) - (-1) = 8

-7 + 1 = 8

-6 ≠ 8 .... This is not an equivalent expression

C.

3x + 3y = 0

−7x + 7y = 8

-7(1) + 7(-1) = 8

-7 -7 = 8

-14 ≠ 8 .... This is also not an equivalent expression

D.

3x + 3y = 0

-4x + 7y = 8

-4(1) + 7(-1) = 8

-4 -7 = 8

-11 ≠ 8 -_- This is also not an equivalent expression

Answer:

A is the correct one

Step-by-step explanation:

Jack can swim 3 laps in 7 minutes.At this rate, how many laps can Jack swim in 28 minutes?

Answers

Jack can swim 12 laps in 28 minutes. 28 minutes is 4 times greater than the time it took him to swim 3 laps. With 28 minutes he should therefore be able to swim 4 times as many laps. 3 times 4 equals 12
he can swim 3 laps in 7 minutes.
28÷7=4
4*3=12
we can conclude that in 28 minutes he can swim 12 laps.

Condense the following expression (In24 - 3In2)

Answers

remember
lna-lnb=ln(a/b)
and
xlna=ln(a^x)

so

ln24-3ln2=
ln24-ln2^3=
ln24-ln8=
ln(24/8)=
ln3

Estimate quotient using multiple 53÷3

Answers

it would be 20 because if you estimate 53 you would get 50 so 50÷3 would be clase to 2 and then add 1 zero and you will get 20 so 20 is your answer. Hope this helped. ☺

What’s the volume of this rectangular prism? base 1/5cm height 10/3cm length 4/5cm

Answers

Answer:

53/100cm^2 (0.53cm^2)

What's 9/25 as an equivalent fraction.

Answers

9/25 is equivalent to many fractions! what you can do is multiply both sides of the fraction by any number. for example:
9 x 2 = 18
_
5 x 2 = 50
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