MATHEMATICS
HIGH SCHOOL

Answer:

if 71 paying passengers are all children, they should pay 5* 71= $355 in total.

$439 is paid so adults pay $439-$355 = $84 more than money paid by same number of children.

each adult pays $8-$5=$3 more than each child

so there are $84/$3= 28adults

and 71-28= 43 children

MIDDLE SCHOOL

The function below represents the interest Larissa earns on an investment. Identify the term that represents the amount of money originally invested. f(x) = 7,000(1 + 0.03)x

1

7,000

0.03

1.03

Option b: 7000

Explanation:

The function that Larissa earns on an investment is

The amount of money originally invested by Larissa can be found using the compound interest formula,

where

P is the amount of money invested. (Principal)

r is the rate of interest which can be expressed as decimals.

x is the number of periods.

Hence, comparing with the formula , the principal amount can be determined.

Thus, the principal amount is 7000.

Answer: The answer is 7000

Step-by-step explanation: Reason because it is original amount of money invested

F(x)=P(1+r)x

MIDDLE SCHOOL

Mega middle school had a valentine dance four fifths of the students plus 7 teachers were there if there was 495 people at the dance how many students attend the school

A total of 720 people attended the mega middle school on the valentine dance.

What is ratio?Ratio is a quantitative relation between two amounts showing the number of times one value contains or is contained within the other. Mathematically, we can express ratio as - a : b. Similar ratio in the form of fraction can be written as - a/b.

Given is Mega middle school valentine dance in which four fifths of the students plus 7 teachers took part. There were total 495 people at the dance.

The ratio of students at the valentine dance = 4 : 5. In fractional form, we can write it as - 4/5. Assume that the number of students who attend the school were [x]. Then -

4x/5 + 7 = 495

4x/5 = 488

x = (488 x 5)/4

x = 144 x 5

x = 720

Therefore, a total of 720 people attended the mega middle school on the valentine dance.

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brainly.com/question/8395523

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495-7=488

488/4=122

122*5=610

The answer is 610 students attend the school.

488/4=122

122*5=610

The answer is 610 students attend the school.

MIDDLE SCHOOL

What is a fraction that is a multiple of 4/5

What is a fraction that is a multiple of 4/5

HIGH SCHOOL

A ball is thrown upward. What is its initial vertical speed? The acceleration of gravity is 9.8 m/s^2 and maximum height is 4.3 m. Neglect air resistance.. Answer in units of m/s.

H = v o · t - g t² / 2

v = v 0 - g t

0 = v o - 9.8 t

v o = 9.8 t

4.3 = 9.8 t · t - 9.8 t² / 2

4.3 = 9.8 t² - 4.9 t²

4.3 = 4.9 t²

t² = 4.3 : 4.9

t² = 0.87755

t = √ 0.87755

t = 0.93678 s

v o = 9.8 · 0.93678

v o = 9.18 m/s

Answer:

its initial vertical speed is 9.18 m/s.

v = v 0 - g t

0 = v o - 9.8 t

v o = 9.8 t

4.3 = 9.8 t · t - 9.8 t² / 2

4.3 = 9.8 t² - 4.9 t²

4.3 = 4.9 t²

t² = 4.3 : 4.9

t² = 0.87755

t = √ 0.87755

t = 0.93678 s

v o = 9.8 · 0.93678

v o = 9.18 m/s

Answer:

its initial vertical speed is 9.18 m/s.