MATHEMATICS HIGH SCHOOL

Evaluate [(30 + 6) − 32] ÷ 9 ⋅ 2.

Answers

Answer 1
Answer: Use PEMDAS:

[(30+6) -3^2] / 9* 2
= (36 -9)/ 9* 2
= 27/9* 2
= 3*2
= 6

The final answer is 6~
Answer 2
Answer:

Answer: just use PEMDAS

[(30+6) -3'2] / 9'2

= (36 -9)/ 9'2

= 27/9'2

= 3'2

= 6

Step-by-step explanation:

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What two numbers add to 9 but multiply to -42
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Write a verbal sentence to represent 5x+7=18
A line graph shows the relationship between three variables.a. Trueb. False
A yoga studio sells monthly memberships. the function f(x) = −x2 50x − 264 models the profit in dollars, where x is the number of memberships sold. determine the zeros, and explain what these values mean in the context of the problem.

The portion of a student’s ballpoint pen that contains the ink is a cylinder with a diameter of 0.400 cm and a height of 11.5 cm. If the ink lasts 7 weeks, what is the volume of ink that the student uses each week?

Answers

Volume of all of the ink is (0.2^{2})* \pi  * 11,5 = 0.46 cm^{3} . When we divide the volume by 7, we get 0.0657142857 cm^{3} of ink

PLEASE HELP! thank you so much! :)Which of the following can form a cross
section?
A a point and a triangle
B a plane and a cone
C a circle and a square
D a line and a

Answers

A I believe good luck

Answer:

A

Step-by-step explanation:

I did this before and I got it correct

1. If Ronnie paid $40 for 8 hamburgers, find the unit price of a hamburger.

Answers

Answer:

The burger is $5 each.

Step-by-step explanation:

8x = 40

x = 5

Answer:

the unit price would be $5

Step-by-step explanation:

40÷8=5

5×8=40

John threw a surprise birthday party for his friend. Food, drinks, and a DJ cost $480 for a group of 32 people. Write and solve and equation to find the cost c per person.

Answers

The required cost per person at the party is given as $15.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
John threw a surprise birthday party for his friend.
Let the cost per peroson be c,
According to the question,
32c = 480
c = 480 / 32
c = 15

Thus, the required cost per person at the party is given as $15.

Learn more about simplification here:

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First, you have to do 480/32. (divide) That gives you the cost of $15 per person.

-1,-4,-7,-10 write an equation to find the nth term of each sequence. Then find a24

Answers

Answer:

\boxed {a_(24) = - 70}

Step-by-step explanation:

According to the following pattern sequence (-1, -4, -7, -10 ), it is Arithmetic Sequence, because every negative number is subtracted by 3. So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:

a_(n) = a_(1) + (n - 1) d

a_(n): nth term in the sequence

a_(1): 1st term

n: term position

d: Common difference

-Apply to the formula:

a_(24) = -1 - 3 (24 - 1)

a_(n) = a_(24)

a_(1) = -1

n = 24

d = -3

-Solve:

a_(24) = -1 - 3 (24 - 1)

a_(24) = -1 - 3 (23)

a_(24) = -1 - 69

\boxed {a_(24) = - 70}

Therefore, the 24th term is -70.

Final answer:

The nth term of the sequence is given by the formula nth term = -1 + (n-1)(-3), resulting in a24 (the 24th term) being -70.

Explanation:

To find the nth term of any arithmetic sequence, you can use the formula: nth term = a + (n - 1)d where a is the first term and d is the common difference. In the given sequence -1, -4, -7, -10, the first term (a) is -1 and the common difference (d) is -3 (because each term is 3 less than the previous term).

So, the nth term formula for this sequence would be

nth term = -1 + (n-1)(-3)

To find the 24th term of the sequence (a24), you would substitute n with 24. So, a24 = -1 + (24-1)(-3) = -70.

Learn more about Arithmetic sequence here:

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Petra throws a ball up with an initial vertical velocity of 35 ft/s from a platform that is at ground level.How long will the ball be in the air?

Answers

The equation used to solve this problem is this:
H(t) = -16t^2 +vt + s
Where,
H(t) is the distance of the ball from the ground in feet,
t is the time in seconds,
v is the initial velocity of the ball as it is thrown up in feet/sec,
s is the distance of the ball from the ground when it was thrown in feet

Plugging in the given values,
0 = 16 t^2 + 35t + 0
This is a quadratic equation and the roots are:
0 and 2.19

ANSWER: 2.19 SECONDS

The equation used to solve this problem is this:

H(t) = -16t^2 +vt + s

Where,

H(t) is the distance of the ball from the ground in feet,

t is the time in seconds,

v is the initial velocity of the ball as it is thrown up in feet/sec,

s is the distance of the ball from the ground when it was thrown in feet

Plugging in the given values,

0 = 16 t^2 + 35t + 0

This is a quadratic equation and the roots are:

0 and 2.19

answer: 2.19 seconds
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