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3 years ago

10

Every week, cross country team members run more than 15 miles. Write an inequality that represents this situation. Let m represe

nt the number of miles ran each week by cross country team members.

1 answer:

mojhsa [17]3 years ago

3 0

Answer:

m > 15

Step-by-step explanation:

Let m represent the number of miles ran each week by cross country team members

therefore, every week, m > 15.

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What is the intermediate step in the form (x+a)^2=b(x+a)

Step2247 [10]

Answer:

The intermediate step are;

1) Separate the constants from the terms in x² and x

2) Divide the equation by the coefficient of x²

3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression

Step-by-step explanation:

The function given in the question is 6·x² + 48·x + 207 = 15

The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;

6·x² + 48·x + 207 = 15

We get

1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192

6·x² + 48·x = -192

2) Dividing by 6 x² + 8·x = -32

3) Add the constant that completes the square to both sides

x² + 8·x + 16 = -32 +16 = -16

x² + 8·x + 16 = -16

4) Factorize (x + 4)² = -16

5) Compare (x + 4)² = -16 which is in the form (x + a)² = b

7 0

3 years ago

For a certain horse race comma the odds in favor of a certain horse finishing in second placehorse race, the odds in favor of a

NikAS [45]

Answer:

0.33

Step-by-step explanation:

Let A denote an event. The odds of the horse finishing second is 33 to 67.

From the information, the total outcomes of event A is:

$Total \ Outcomes, A=Favorable +Unfavorable\\\\=33+67\\\\=100$

Hence, there are 100 total outcomes. The probability of the horse finishing second is calculated as:

$p=\frac{n(A_f)}{n(A_u)}\\\\\\=p=\frac{33}{100}\\\\=0.33$

Hence, the probability of finishing second is 0.33

7 0

3 years ago

Here are two offers for batteries.

trapecia [35]

OFFER A is cheaper.

Step-by-step explanation:

Given,

OFFER A

Pack of 5

£2.75

Pay for 3 packs get 1 free

And

OFFER A

Pack of 5

£2.75

Pay for 3 packs get 1 free

To find which offer is cheaper.

<u>For OFFER A</u>

For 4 Packets he needs to pay £2.75

He needs to buy 40 batteries.

He needs to buy 40÷(4×5) = 2 packets.

Total cost = £2.75 ×2 = £5.5

<u>For OFFER B</u>

For 4 Packets he needs to pay £2.52

He needs to buy 40 batteries.

He needs to buy 10 packets.

After discount he has to pay = £2.52 -(£2.52 × $\frac{1}{3}$ ) = £1.68

Total cost = £1.68×10 = £16.8

Hence,

OFFER A is cheaper.

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2 years ago

A basketball court is 150 feet from the net to net how many yards make up a basketball court

Snezhnost [94]

I believe you just multiply 150x3 and get 450

6 0

3 years ago

What is the volume of this prism?

Mandarinka [93]

Answer:

144 cm^3

Step-by-step explanation:

The formula for the volume of a rectangular prism is <em>l x w x h. </em>

Here, the length is 4, the width is 4, and the height is 4.

4 x 4 x 9 =

16 x 9 =

144 cm^3

8 0

3 years ago