MATHEMATICS HIGH SCHOOL

Melissa ran at a constant speed of 509.056 meters in 62.08 seconds. How far did Melissa run in one second?

Answers

Answer 1
Answer:

Answer:

8.2

Step-by-step explanation:

509.056/62.08

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John and 4 friends are going out for pizza for lunch. They split one pizza and 5 large drinks. The pizza cost $10.00. After using a $4.00 gift certificate, they spend a total of $13.50. Write an equation to model this situation, and find the cost of one large drink.A. 5d + $10.00 – $4.00 = $13.50; $1.50
B. 4d + $10.00 – $4.00 = $13.50; $1.88
C. 5d + $10.00 – $4.00 = $13.50; $1.70
D. 5d – $10.00 + $4.00 = $13.50; $4.88

Answers

Answer:

Option A - 5d + $10.00 – $4.00 = $13.50; $1.50

Step-by-step explanation:

Given : John and 4 friends are going out for pizza for lunch. They split one pizza and 5 large drinks. The pizza cost $10.00. After using a $4.00 gift certificate, they spend a total of $13.50.

To write : An equation to model this situation, and find the cost of one large drink.

Solution : Let d be the cost of the drink.

Number of drinks is 5.

The cost of 5 drink is 5d.

The pizza cost $10.00.

Total cost = 5d+$10

After using a $4.00 gift certificate, they spend a total of $13.50.

The equation to model the situation is 5d + 10 - 4 = 13.5

Solving the equation,

5d + 6 = 13.5

5d = 13.5 - 6

5d = 7.5

d = (7.5)/(5)

d = 1.50

The cost of 1 large drink is $1.50.

Therefore, Option A is correct.

5d + $10.00 – $4.00 = $13.50; $1.50

Answer:the answer is A

Step-by-step explanation:

For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

Answers

I'm going to give you both answer and how I found it if you ever have to do this again except in simple steps not the common core steps

Step 1: 472-4=468

Step 2: 468 divided by 9= 52

The answer would be there is fifty two students per bus.

Hopefully I helped you and showed you how to do it too.
52 students were on each bus

What is the pattern?6+4= 210
9+2= 711
8+5- 313
5+2= 37
7+6= 113
9+8= 117
10+6= 416
15+3= 1218

Answers

First you need to subtract both numbers and then, add them up. You'll receive e.g. 6-4=2 and 6+4=10, then just type them one after another, which will give you 6+4=210.

Factoring trinomials word problems.

Answers

So see if u can factor out the trinomial.
it's factorable.
(x+3)(×-2)

so divide that factors by (×-2)

(×-2)(×+3)
---------
(×-2)

the (×-2) cancel out, leaving x+3

Solve y to the power of 2 =256

Answers

Answer:

Hi,

Step-by-step explanation:

y^2=256\n\ny^2=16^2\ny^2-16^2=0\n(y-16)(y+16)=0\ny=16\ or\ y=-16\n

According to the Rational Root Theorem, which could be a factor of the polynomial f(x) = 60x4 + 86x3 – 46x2 – 43x + 8?x – 6
5x – 8
6x – 1
8x + 5

Answers

the answer is (6x-1)

Answer: The answer is (B) (8)/(5) and (C) (1)/(6).

Step-by-step explanation: The given polynomial is

f(x)=60x^4+86x^3-46x^2-43x+8.

We are to select the correct option that could be a factor of the polynomial f(x) according to the Rational Root Theorem.

The Rational Root Theorem states that:

If the polynomial  P(x)= a_nx^n+a_(n-1)x^(n-1)+\cdots+a_2x^2+a_1x+a_0 has any rational roots, then they must be of the form \pm\frac{\textup{factors of }a_0}{\textup{factors of }a_n}.

Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and factors of 8 are 1, 2, 4 and 8.

Out of the given options, only (8)/(5) and (1)/(6) can be written in the form  \pm\frac{\textup{factors of }a_0}{\textup{factors of }a_n}., because

(8)/(5)=\frac{\textup{a factor of 8}}{\textup{a factor of 60}},\n\n(1)/(6)=\frac{\textup{a factor of 8}}{\textup{a factor of 60}}.

Thus, (B) and (C) are the correct options.

 
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