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3 years ago

A bicyclist rides 16 miles in 144 minutes. If she continues at this speed, how long will it take her to travel 36 miles?

2 answers:

8 0

16/144 = 36/x....16 miles to 144 minutes = 36 miles to x minutes
cross multiply
(16)(x) = (144)(36)
16x = 5184
x = 5184/16
x = 324 minutes

mario62 [17]3 years ago

6 0

16 -> 144
36 -> ?

(36x144) / 16 =324 min

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Answer:

(a) The value of $s_z$ is (z+1)(3-z).

(b) The next term in the sequence is -2.

Step-by-step explanation:

(a)

It is given that arithmetic sequence that starts with an initial index of 0.

The initial term is 3 and the common difference is -2.

$a_0=3$

$d=-2$

We need to find the value of $s_z$ .

$s_z=\sum_{n=0}^{n=z}(a+nd)$

where, a is initial term and d is common difference.

$s_z=\sum_{n=0}^{n=z}(3-2n)$

The sum of an arithmetic sequence with initial index 0 is

$s_n=\frac{n+1}{2}[2a+nd]$

where, a is initial term and d is common difference.

Substitute n=z, a=3 and d=-2 in the above formula.

$s_z=\frac{z+1}{2}[2(3)+z(-2)]$

$s_z=\frac{z+1}{2}[2(3-z)]$

$s_z=(z+1)(3-z)$

Therefore the value of $s_z$ is (z+1)(3-z).

(b)

The given arithmetic sequence is

7, 4, 1, ...

We need to find the term in the sequence.

In the given arithmetic sequence the first term is

$a=7$

The common difference of the sequence is

$d=a_2-a_1\Rightarrow 4-7=-3$

The first term is 7 and common difference is -3.

Add common difference in last given term, i.e., 1, to find the next term of the sequence.

$1+(-3)=1-3=-2$

Therefore the next term in the sequence is -2.

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4 years ago

Hey can anyone help please and thank you !

EleoNora [17]

Answer:

x = 2

Step-by-step explanation:

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3 years ago

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Archy [21]

Answer:

Option 2 50 ≤ s ≤ 100

Option 5 She could deposit $50

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Step-by-step explanation:

Let

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50%=50/100=0.50

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$s\leq 0.50*200$ -----> $s\leq \$100$

The compound inequality is

$\$50 \leq s\leq \$100$

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case 1) 25 ≤ s ≤ 50

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see the procedure

case 2) 50 ≤ s ≤ 100

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see the procedure

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The statement is false

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case 4) s ≤ 50 or s ≥ 100

The statement is false

Because is s ≤ 100 and s ≥ 50

case 5) She could deposit $50

The statement is true

Because the value of s satisfy the compound inequality $\$50 \leq s\leq \$100$

case 6) She could deposit $75

The statement is true

Because the value of s satisfy the compound inequality $\$50 \leq s\leq \$100$

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Answer:

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