MATHEMATICS
MIDDLE SCHOOL

Answer: You would simply do 33.3/370, which results in 0.09. Converting that to a percentage you get that the sales tax is 9%.

Answer: (33.30/370)*100= % ..

MIDDLE SCHOOL

two boats leave the jetty at the same time. one of them returns to the jetty every 25 minutes and the second one returns every 30 minutes. When will the boats next be at the jetty at the same time

The answer is after 150 mins or 2 hours and 30 minutes if two boats leave the jetty at the same time.

What is LCM?It is defined as the common number of two integers, which is the lowest number that is a multiple of the two or more numbers. The full name of LCM is the least common multiple.

It is given that:

Two boats leave the jetty at the same time. one of them returns to the jetty every 25 minutes and the second one returns every 30 minutes.

Take the LCM of 25 and 30:

Using a tree diagram, the prime factors of 25 provide 52 and 30, which are 2 x 3 x 5. The result of multiplying all the factors together is 5 x 5 x 2 x 3 = 150.

Thus, the answer is after 150 mins or 2 hours and 30 minutes if two boats leave the jetty at the same time.

Learn more about the LCM here:

brainly.com/question/20739723

#SPJ6

Answer:

150 mins or 2 hrs 30 mins

Step-by-step explanation:

This is simply the LCM ( lowest common multiple)

therefore, you find all the prime factors of 25 using a tree diagram resulting in 5^2 and 30 which will be 2 x 3 x 5. Then you multiply all the factors together and you will get 5 x 5 x 2 x 3 = 150

so....

the answer is after 150 mins

or 2 hours and 30 minutes

COLLEGE

In the past, 25% of the town residents participated in the school board elections. The town officials recently undertook an extensive campaign to encourage registered voters to participate in the election process. They are interested in determining whether the promotional campaign actually increased the proportion of voters. The correct set of hypotheses is _____. a. H0: p < .25; Ha: p ≥ .25

b. H0: p ≥ .25; Ha: p < .25

c. H0: p > 25; Ha: p ≤ 25

Answer:

H0: p ≤.25 Ha: p >.25

Step-by-step explanation:

One choice is missing. Correct choices are:

a. H0: p > 25 Ha: p ≤ 25

b. H0: p ≥ .25 Ha: p .25

If the sample proportion is found significant under null hypothesis at a specified significance level, then null hypothesis can be rejected and can be concluded that there is significant evidence that the promotional campaign actually increased the proportion of voters.

HIGH SCHOOL

Is 2.34 a rational number?

Answer:

Yes 2.34 is a rational number.

Step-by-step explanation:

To find : Is 2.34 a rational number?

Solution :

A rational number is written in the form of p/q where p and q are integers and q is non-zero.

So, Writing the number in p/q form

As the number written in p/q form so the number is a rational number.

Therefore, Yes 2.34 is a rational number.

yes

A rational number is a number which can be expressed in the form

where a and b are integers

now 2. 34 = 2 = → a rational number

MIDDLE SCHOOL

2x +8y =20

-5x-20y=-50

System of Equations.

You can either substitute or eliminate a variable.

Substitue:

2x +8y =20

÷2 ÷2 ÷2

x +4y =10

x = -4y +10 (plug this into the second equation)

-5(-4y +10) -20y = -50 (distribute)

20y -50 -20y = -50

-50 = -50

0 = 0

You can either substitute or eliminate a variable.

Substitue:

2x +8y =20

÷2 ÷2 ÷2

x +4y =10

x = -4y +10 (plug this into the second equation)

-5(-4y +10) -20y = -50 (distribute)

20y -50 -20y = -50

-50 = -50

0 = 0

Ax + by =12; 2x + 8y = 60. ax + by = 12; 2x + 8y = 60

MIDDLE SCHOOL

The students at Midtown Middle school sold flowers as a fundraiser in September and October. In October, they charged $1.50 for each flower. The October price was a 20% increase of the September price. Part A What was the price of the flowers in September?

Enter your answer in the box.

$___

Part B

The seventh-grade class earned 40% of the selling price of each flower. In September, they sold 900 flowers. In October, they sold 700 flowers. Select a choice from each drop-down menu to make a true statement.

The seventh-grade class earned more money in ___ by ___

First Blank Choices: September, October

Second Blank Choices: $30, $75, $90

Part A) $1.25

Part B) September, $30

Explanation

Part A)

Let x be the amount the flowers sold for in September. Since the October selling price is a 20% increase, this is 0.20x. We add this to x, the price of September, since it is an increase:

x+0.2x

This is equal to October's selling price, 1.50:

x+0.2x = 1.50

Combine like terms:

1.20x = 1.50

Divide both sides by 1.20:

1.20x/1.20 = 1.50/1.20

x = 1.25

This means the flowers sold for $1.25 in September.

Part B)

We first find out how much money they collected from selling flowers in September. The September selling price was $1.25, and they sold 900:

1.25(900) = 1125

They earn 40% of this:

0.40(1125) = $450

They earn $450 in September.

The October selling price was $1.50, and they sold 700 flowers:

1.50(700) = 1050

They earn 40% of this:

0.40(1050) = 420

They earn $420 in October.

This means they earn more money in September, and they earned 450-420 = $30 more.

Part B) September, $30

Explanation

Part A)

Let x be the amount the flowers sold for in September. Since the October selling price is a 20% increase, this is 0.20x. We add this to x, the price of September, since it is an increase:

x+0.2x

This is equal to October's selling price, 1.50:

x+0.2x = 1.50

Combine like terms:

1.20x = 1.50

Divide both sides by 1.20:

1.20x/1.20 = 1.50/1.20

x = 1.25

This means the flowers sold for $1.25 in September.

Part B)

We first find out how much money they collected from selling flowers in September. The September selling price was $1.25, and they sold 900:

1.25(900) = 1125

They earn 40% of this:

0.40(1125) = $450

They earn $450 in September.

The October selling price was $1.50, and they sold 700 flowers:

1.50(700) = 1050

They earn 40% of this:

0.40(1050) = 420

They earn $420 in October.

This means they earn more money in September, and they earned 450-420 = $30 more.

COLLEGE

If a number is multiplied by four, it gives the same result as 2/7 of 500 for. What is the number?

Sounds as tho you meant:

4n = (2/7)(500)

1000

If that's the case, then 4n = ------------

7

1000 250

or n = ------------ = --------- (answer)

28 7

Check: does 4(250/7) equal (2/7)(500)? YES.

4n = (2/7)(500)

1000

If that's the case, then 4n = ------------

7

1000 250

or n = ------------ = --------- (answer)

28 7

Check: does 4(250/7) equal (2/7)(500)? YES.

MIDDLE SCHOOL

What is the volume of a right cylinder with a diameter of 46.25cm and a height of 18.5cm

Answer:

the annswer is 12,123

Step-by-step explanation:

MIDDLE SCHOOL

Is it true that the order when dividing three real numbers does not affect the answer

let's take a peek if that's so.

27 ÷ 3 = 9

27 ÷ 3 ÷ 9 => 9 ÷ 9 = 1

let's now change the order

9 ÷ 3 ÷ 27

9 ÷ 3 = 3, so 9 ÷ 3 ÷ 27 is 3 ÷ 27 = 0.1111111111111....

low and behold, we changed them about, and notice the different quotient.

recall, by order of operations, divisions are done from left-to-right.

MIDDLE SCHOOL

What is the missing number in the equation.. 35.4 x □ = 3.54. A. 100 B. 10 C. 1/10 D. 1/100

The correct answer is 1/10.

This equation can be solved using simple algebra.

Let's say that the missing is A, hence replacing the box with the A, giving:

35.4 x A = 3.54

We then could divide both sides of the equation- left hand side (35.4 x A) and the right hand side (3.54)- with 35.4, as we would want to get rid of this number from the left to leave us with A only. The equation then becomes:

A = (3.54/35.4)

Simply use the calculator and you'd get 1/10.

Which is C!

Let's say that the missing is A, hence replacing the box with the A, giving:

35.4 x A = 3.54

We then could divide both sides of the equation- left hand side (35.4 x A) and the right hand side (3.54)- with 35.4, as we would want to get rid of this number from the left to leave us with A only. The equation then becomes:

A = (3.54/35.4)

Simply use the calculator and you'd get 1/10.

Which is C!