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Ratling [72]
3 years ago
13

After each soccer practice Scott Runs 4 sprints of 10 yards each complete exclamation to find how many practices it will take fo

r Scott to have spent a total of 2 miles combined if he continues his routine
Mathematics
2 answers:
Tpy6a [65]3 years ago
5 0

Answer:

Scott will have to do 44 practices

Step-by-step explanation:

Let X be the number of yards per practice.

Let P = number of practice Scott needs to do.

Multiply 20 yards by 4 sprints

X = 20yards × 4 sprints = 80 yards

Number of yards he had to sprint per practice will be:

1 mile = 1760 yards

Converting from miles to yards

X = 1760 × 2 miles = 3520 yards

Number of practice,P Scott need to do = (3520/80)yards

Number of Practice,P = 44

Sphinxa [80]3 years ago
4 0

Answer:

Number of practice = 88

Step-by-step explanation:

Each day 4 sprints is covered and each sprint is 10yards, hence 40yards is covered each day for one practice.

2miles = 2 x 1760 = 3520 yards

Hence number of practice to cover 2miles = 3520/40 = 88 practice

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Use an induction proof to prove this statement:<br> For n≥1, 4^n+5 is divisible by 3.
Tpy6a [65]

Answer:

See below

Step-by-step explanation:

We shall prove that for all n\in\mathbb{N},3|(4^n+5). This tells us that 3 divides 4^n+5 with a remainder of zero.

If we let n=1, then we have 4^{1}+5=9, and evidently, 9|3.

Assume that 4^n+5 is divisible by 3 for n=k, k\in\mathbb{N}. Then, by this assumption, 3|(4^n+5)\Rightarrow4^k+5=3m,\: m\in\mathbb{Z}.

Now, let n=k+1. Then:

4^{k+1}+5=4^k\cdot4+5\\=4^k(3+1)+5\\=3\cdot4^k+4^k+5\\=3\cdot4^k+3m\\=3(4^k+m)

Since 3|(4^k+m), we may conclude, by the axiom of induction, that the property holds for all n\in\mathbb{N}.

3 0
2 years ago
Solve the linear equation 2.25 – 11j – 7.75 + 1.5j = 0.5j – 1.
maxonik [38]
To solve for this we will follow PEMDAS to arrive at the correct answer so we have the following:
2.25 - 11j - 7.75 + 1.5j = 0.5j - 1 \\  - 9.5j - 5.5 = 0.5j - 1 \\  - 10j = 4.5 \\ j =  \frac{4.5}{ - 10}  = - 0.45
Based on calculations the correct answer is A
7 0
3 years ago
2(x+1)=38 I would just like to check my answer for this problem. I think x equals 16. But I would like to clarify
astraxan [27]

There are two methods to do this:

1. 2(x + 1) = 38

2*x + 2*1 = 38 (Expand the bracket)

2x + 2 = 38

2x = 36 (Subtract 2 from both sides)

x = 18 (Divide each side by 2)

2. 2(x + 1) = 38

(x + 1) = 19 (Divide each side by 2)

x = 18 (Subtract 1 from each side)

4 0
3 years ago
Read 2 more answers
Select the correct answer.
Snezhnost [94]

Answer:

That would be week 2 and 4 (B). They are both at 12 students attending

8 0
2 years ago
Work out <br><br> 7/9× 5 2/5
Natalija [7]

Answer:

4 1/5

Step-by-step explanation:

1. \frac{7}{9} * 5\frac{2}{5}  = \frac{7}{9} * \frac{27}{5}

2. \frac{7}{9} * \frac{27}{5} = \frac{7}{1}   * \frac{3}{5}

3. 7 * \frac{3}{5} = \frac{21}{5}

4. \frac{21}{5} = 4\frac{1}{5}

8 0
2 years ago
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