How do you simplify 50

Trey reads 10 pages in 25 minutes. At the rate, how many pages will he read in 45 minutes?

neonofarm [45]

Answer: 18 pages

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Explanation:

Trey reads 10 pages in 25 minutes, which means we have the ratio
10 pages: 25 minutes

Divide each part of the ratio by 25
10 pages: 25 minutes
10/25 pages: 25/25 minutes
0.4 pages: 1 minute

So Trey's unit rate is 0.4 pages per minute. In one minute, Trey reads 0.4 of a page

Now multiply both sides of the last ratio by 45
0.4 pages: 1 minute
45*0.4 pages: 45*1 minute
18 pages: 45 minutes

Which is why the answer is 18 pages
It takes Trey 45 minutes to read 18 pages
Or in other words, Trey reads 18 pages in 45 minutes.

3 0

3 years ago

PLS ANSWER it CORRECTLY for 25 points<br>

olchik [2.2K]

Answer:

1. 0

2. 18 th term

3. 209

4. 670

Step-by-step explanation:

1. n^th term of an A.P = a + (n - 1)d , where n is the term

6 = a + (5 - 1)d ... (i)

5 = a + (6 - 1)d ... (ii)

a + 4d = 6 ... (i)

a + 5d = 5 ... (ii)

Subtracting (ii) - (i) we get;

0 + d = -1 , d = -1

So the common difference (d) = -1

And first term (a);

a + 4(-1) = 6

a = 6 + 4 = 10

11^th term will be;

$n_{11}$ = 10 + -1(11 - 1) = 10 - 10 = 0

2. The A.P is;

1, 4, 7, 10, 14, ....

The first term (a) = 1

The common difference (d) = 3

$n_{th}$ = a + (n - 1)d

52 = 1 + (n - 1)3

3n - 3 + 1 = 52

3n = 52 + 2 = 54

n = 54/3 = 18 th term

3. The A.P is;

4, 9, 14, ... , 254

The first term (a) = 4

The common difference (d) = 5

$n_{th}$ = a + (n - 1)d

To find what term number 254 is;

254 = 4 + (n - 1)5

5n - 5 + 4 = 254

5n = 254 + 1 = 255

n = 255/5 = 51

The 10^th term from the end of the AP is the 42^nd term.

$n_{42}$ = 4 + (42 - 1)5 = 4 + 205 = 209

4. The A.P is;

5, 8, 11, 14, ...

The first term (a) = 5

The common difference (d) = 3

Sum of n terms in an A.P is given by;

$s_{n}$ = $\frac{n}{2}$ (2a + (n - 1)d)

$s_{n}$ = $\frac{20}{2}$ (10 + 19(3) = 10(10 +57) = 670

7 0

3 years ago

A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75.5 psi and standard

Sedaia [141]

Answer:

The standard deviation reduces when sample size (n) increases

Step-by-step explanation:

From the above information given, we have that mean = 75.5

Standard deviation = 3.5

But Standard deviation = √summation (x-u)/n

This simply implies that when sample (n) is increased there would be a reduction in the standard deviate.

7 0

2 years ago

When deriving the quadratic formula by completing the square, what expression can be added to both sides of the equation to crea

____ [38]

Answer:

According to steps 2 and 4. The second-order polynomial must be added by $-c$ and $b^{2}$ to create a perfect square trinomial.

Step-by-step explanation:

Let consider a second-order polynomial of the form $a\cdot x^{2} + b\cdot x + c = 0$ , $\forall \,x \in\mathbb{R}$ . The procedure is presented below:

1) $a\cdot x^{2} + b\cdot x + c = 0$ (Given)

2) $a\cdot x^{2} + b \cdot x = -c$ (Compatibility with addition/Existence of additive inverse/Modulative property)

3) $4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x = -4\cdot a \cdot c$ (Compatibility with multiplication)

4) $4\cdot a^{2}\cdot x^{2} + 4\cdot a \cdot b \cdot x + b^{2} = b^{2}-4\cdot a \cdot c$ (Compatibility with addition/Existence of additive inverse/Modulative property)