How do i do this and how do i show my work ?

You can jog around the block twice and the park once in 10 min. You can jog around the block twice and the park 3 times in 22 mi

stich3 [128]

B = block p = park

2b + p = 10 min 2 runs around the block takes 10 minutes
2b + 3p = 22 min 2 runs around the block plus 3 runs around the park takes 22 minutes

To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.

2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p

2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22

10 + 3p = 22 ----------→ 2p = 12

2p = 12 -------------→ p = 6

It takes 6 minutes to jog around the park

Hope this helps!

6 0

3 years ago

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

tigry1 [53]

Answer:

$P(A) = \frac{30}{100}$

$P(B) = \frac{77}{100}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

Step-by-step explanation:

Given

See attachment for proper format of table

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

In this row:

$Yes = 22$ and $No = 8$

So, we have:

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

Solving (b): P(B)

Here, we only consider data in the Yes column.

In this column:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

So, we have:

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

This cell is: [Supplier 1][Yes]

And it is represented with; n(A n B)

So, we have:

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

8 0

3 years ago

Please please please please please answer A through D

muminat

Answer:

A: Yes, As more gallons are used the longer the shower is

B: 5 minutes, 20 minutes

C: (30,10), someone who uses 30 gallons of water will be in the shower for 10 minutes

D: I'm going to assume that your teacher wants you to find the slope in which I will use the slope formula and the points (0,0) and (30,10)

(10-0)/(30-0)=1/3=.33333 which means that for every gallon of water used you will be in the shower for .33333 minutes longer

Step-by-step explanation:

A: Yes, As more gallons are used the longer the shower is

B: 5 minutes, 20 minutes

C: (30,10), someone who uses 30 gallons of water will be in the shower for 10 minutes

D: I'm going to assume that your teacher wants you to find the slope in which I will use the slope formula and the points (0,0) and (30,10)

(10-0)/(30-0)=1/3=.33333 which means that for every gallon of water used you will be in the shower for .33333 minutes longer

7 0

3 years ago

What is the next term in the following series 1,1,2,3,5,8,_

Bezzdna [24]

This is the famous Fibonacci frequence. it's by adding the 2 terms in front. like 2 + 3, so the next term is 5. and 5+ 8, the next term is 13.

4 0

3 years ago

Line plotsssssssssssss

dexar [7]

Answer:

C

Step-by-step explanation:

it says that you have 5 then the .25 says per Mile the word "per" equals to multiply so you put c=5+.25m

7 0

3 years ago

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