MATHEMATICS
MIDDLE SCHOOL

Answer: 18 glasses of water because 3.6/.2 is 18

COLLEGE

Round 1,384 to the nearest thousand and round 2,332 to the nearest hundred

1,348 is 1000 and 2,332 is 2,300

1,384 rounded to the nearest thousand would be 1,000 because when you look at the hundreds place, there is a 3 and the rule is, if it’s under 5 round down but if it’s over 5 (or if it is 5) you round up.

2,332 rounded to the nearest hundred would be 2,300 because once again there was a number less than 5 before it so we rounded down.

I hope this helped! Have a wonderful day! :-)

2,332 rounded to the nearest hundred would be 2,300 because once again there was a number less than 5 before it so we rounded down.

I hope this helped! Have a wonderful day! :-)

MIDDLE SCHOOL

Which product is negative? A.

–3 • 5 • (–6) • 4

B.

–7 • (–3) • (–9) • 0

C.

–4 • (–6) • (–3) • (–5)

D.

–3 • 4 • (–2) • (–7)

Negative times a Negative = Positive

Positive times a Positive = Positive

Negative times a Positive = Negative

Positive times a Negative = Negative

Option A:

Negative * Positive * Negative * Positive

Negative * Negative * Positive

Positive * Positive

Positive

Option B:

Anything times 0 is 0, this is incorrect.

Option C:

Negative * Negative * Negative * Negative

Positive * Negative * Negative

Negative * Negative

Positive

Option D:

Negative * Positive * Negative * Negative

Negative * Negative * Negative

Positive * Negative

Negative

Therefore your answer is D.

Positive times a Positive = Positive

Negative times a Positive = Negative

Positive times a Negative = Negative

Option A:

Negative * Positive * Negative * Positive

Negative * Negative * Positive

Positive * Positive

Positive

Option B:

Anything times 0 is 0, this is incorrect.

Option C:

Negative * Negative * Negative * Negative

Positive * Negative * Negative

Negative * Negative

Positive

Option D:

Negative * Positive * Negative * Negative

Negative * Negative * Negative

Positive * Negative

Negative

Therefore your answer is D.

the answer is d-( -168)

COLLEGE

Justin has $7.50 more than Ava and Emma has $12 less than Justin together they have a total of $63 how much does each person have

In the future, please use commas and periods. It was difficult to decipher where each equation started and ended.

J = Justin

A = Ava

E = Emma

J = A + 7.50

E = J - 12

E + J + A = 63

E = A + 7.50 - 12

A + A - 4.5 + A + 7.50 = 63

3A = 60

A = $20

J = $27.50

E = $15.50

J = Justin

A = Ava

E = Emma

J = A + 7.50

E = J - 12

E + J + A = 63

E = A + 7.50 - 12

A + A - 4.5 + A + 7.50 = 63

3A = 60

A = $20

J = $27.50

E = $15.50

J is Justin, A is Ava, and E is Emma.

J=7.50 + A or A=J-7.50

J=E +12 or E=J-12

J + J-7.50 + J-12=63

3J - 19.50 =63

3J = 82.50

J= 27.5

So.. J=27.50, E=15.50, and A=20.00

Justin has $27.50, Emma has $15.50, and Ava has $20.00

J=7.50 + A or A=J-7.50

J=E +12 or E=J-12

J + J-7.50 + J-12=63

3J - 19.50 =63

3J = 82.50

J= 27.5

So.. J=27.50, E=15.50, and A=20.00

Justin has $27.50, Emma has $15.50, and Ava has $20.00

MIDDLE SCHOOL

$580 at 2% interest over 6 months

Answer:

Simple Interest over the given time interval will be $5.80

Step-by-step explanation:

Principal Amount = $580

Rate of Interest = 2%

= 0.02

Time = 6 months

= 0.5 years

Now, Simple Interest is given by the formula :

Simple Interest = Principal × Rate × Time

⇒ Simple Interest = 580 × 0.02 × 0.5

⇒ Simple Interest = $5.80

Thus, Simple Interest over the given time interval will be $5.80

Answer:

$499.8

Step-by-step explanation:

Principal=$580

Time=6 months=1/2 year

rate=2% p.a.

prt=580*2*1

---------------

2*100

=$499.80

MIDDLE SCHOOL

tyler wants to buy a new television that costs $312. He has already saved $96. He plans to save $24 per week over the next few weeks. Which shows the number of weeks Tyler will need to save to be able to buy the television?

He will need to save for 9 weeks.

312-96=$216

216 divided by 24= 9

He will need 9 weeks until he can buy the television

216 divided by 24= 9

He will need 9 weeks until he can buy the television

MIDDLE SCHOOL

My dog weighed 60 pounds and lost 25% of his weight.how much did he lose

He lost 15 pounds

i think that is the answer

i think that is the answer

He lost 2.4 pounds.

60/.25= 240

240/100= 2.4

60/.25= 240

240/100= 2.4

MIDDLE SCHOOL

19. A county government says that a safe level of chlorine in a hot tub is within 1.75 ppm of 3.25 ppm. a. Write and solve an absolute value inequality to represent this situation

b. A life guard measures the chlorine level in the pool and finds it is 1.0ppm. Should he add more chlorine? Explain.

Answer:

a. |x - 3.25| ≤ 1.75

b. Yes, he should add more chlorine

Explanation:

1. Interpreting the statement:

Within 1.75 ppm of 3.25 ppm means that the safe level of chlorine may be in the range 3.25 ppm ± 1.75 ppm.

That is, between 3.25 ppm - 1.75 ppm and 3.25 ppm + 1.75 ppm (including the extreme values).

2. Absolute value inequality:

From that, the mid point of the safe interval is 3.25 ppm.

So, you use such mid point to build the absolute value inequality to represent the situation:

- |x - 3.25| ≤ 1.75

3. A life guard measures the chlorine level in the pool and finds it is 1.0ppm. Should he add more chlorine?

Solve the inequality, removing the bars of the absolute value function in this way:

- - 1.75 ≤ x - 3.25 ≤ 1.75

Add 3.25 to all the parts:

- -1.75 + 3.25 ≤ x - 3.25 + 3.25 ≤ 1.75 + 3.25

- 1.50 ≤ x ≤ 5.00

Then, the level of chlorine should be between 1.50 ppm and 5.00 ppm (including both extremes).

Hence, you conclude that the life guard should add more chlorine because 1.0 ppm is below 1.50 ppm, which is the lower bound of the safe level.

MIDDLE SCHOOL

Alvin throws the football to a receiver who jumps up to catch the ball. The height of the ball over time can be represented by the quadratic equation -4.9t2 + 7.5t + 1.8 = 2.1 . This equation is based on the acceleration of gravity -4.9 m/s2, the velocity of his pass is 7.5 m/s and releases the football at a height of 1.8 meters, and the height where the receiver catches the ball of 2.1 meters. Put the equation in standard form and then solve by using the quadratic equation.

Answer:

The standard form of the equation is 49t² - 75t + 3 = 0

The solution of the equations are 1.49 and 0.041

Step-by-step explanation:

* Lets explain how to solve the problem

- The standard form of the quadratic equation is ax² + bx + c = 0,

where a , b , c are constant and a can not be 0

∵ The quadratic equation is -4.9t² + 7.5t + 1.8 = 2.1

- Lets make the left hand side equal to 0

∵ -4.9t² + 7.5t + 1.8 = 2.1 ⇒ subtract 2.1 from both sides

∴ -4.9t² + 7.5t - 0.3 = 0 ⇒ multiply each term by -10

∴ 49t² - 75t + 3 = 0

* The standard form of the equation is 49t² - 75t + 3 = 0

∵ ax² + bx + c = 0

∴ a = 49 , b = -75 , c = 3

- Lets use the formula to solve

the equation

∴

∴

* The solution of the equations are 1.49 and 0.041

MIDDLE SCHOOL

What's 7 hours in minutes

There are 60 hours in a minute, so there are 7*60=420 minutes in 7 hours.