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Alekssandra [29.7K]
3 years ago
6

John and Tyrone each go for a morning jog before work. John's jogging pace

Mathematics
1 answer:
hram777 [196]3 years ago
5 0

Answer:

Tyrone's rate is 1 more mile per hour than John's

Step-by-step explanation:

Given

y = 5x --- John number of jog

See attachment of Tyrone's number of jog

Required

Select the true option

From the attached graph, we have:

(x_1,y_1) = (0,0)

(x_2,y_2) = (2,12)

Calculate the slope (m); i.e. unit rate

m = \frac{y_2 - y_1}{x_2 -x_1}

m = \frac{12 - 0}{2 -0}

m = \frac{12}{2}

m = 6

For John, we have:

y = 5x

A linear equation is represented as:

y = mx+ c

Where m represents the unit rate. So, by comparison;

m = 5

m = 5 --- John unit rate

m = 6 --- Tyrone unit rate

<em>Option B is correct because Tyrone's rate is 1 more mile per hour than John's</em>

<em>i.e. 6 - 5 = 1</em>

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Layla emptied out her change jar to buy a new binder for school. She found 147 coins consisting of dimes and nickels that totale
den301095 [7]

Answer:

d + n = 147

0.10d + 0.05n = 11.65

d = 86, n = 61

Step-by-step explanation:

Let

Number of dimes = d

Number of nickels = n

Total coins = 147

Total value = $11.65

d + n = 147 (1)

0.10d + 0.05n = 11.65 (2)

From (1)

d = 147 - n

Substitute d = 147 - n into

0.10d + 0.05n = 11.65

0.10(147 - n) + 0.05n = 11.65

14.7 - 0.10n + 0.05n = 11.65

- 0.10n + 0.05n = 11.65 - 14.7

-0.05n = -3.05

n = -3.05 / -0.05

= 61

n = 61

Substitute n = 61 into

d + n = 147

d + 61 = 147

d = 147 - 61

d = 86

6 0
2 years ago
mary is eighteen years older than her son. she was three times as old as he was one year ago.How old are they now?
zimovet [89]

Answer:

<h2>The son is 10 Mary is 28</h2>

Step-by-step explanation:

I hope dis helps

4 0
3 years ago
What is the value of the expression 1/2(6x9x1)+15
Vanyuwa [196]

Answer:

the answer of the expression is 42

Step-by-step explanation:

PEMDAS parenthesis are first so we start out with 6x9x1 and the answer to that is 54, next is MULTIPLICATION so we take 1/2 times 52 which is 27 then next is ADD so we add 15 and the answer is 42

5 0
3 years ago
What is (4x + 3) + (-2x + 4)
kobusy [5.1K]

Answer:

(4x + 3) + (-2x + 4) = 2x + 7  

Step-by-step explanation:

(4x + 3) + (-2x + 4) =     you then collect like terms  

(4x + -2x) + (3 + 4)= like this, and you add what's inside perenthesis

= 2x + (3 + 4). step-by-step

= 2x + 7.  then that is how you get =2x+7

5 0
3 years ago
Read 2 more answers
You have 100 quarters in a jar. One of the quarters is double sided (heads). You pick out a random quarter and flip it 7 times,
zysi [14]

Answer:

Probability of having the double sided coin is 1 %

Probability of getting heads on the next flip is 50%

Step-by-step explanation:

Based on the information given to us in the question we have a total of 100 coins in the bag and only 1 is double heads. Therefore the probability of you picking the double sided coin is \frac{1}{100} or 1 % . This probability is not affected by the fact that the coin you chose got heads 7 times in 7 flips.

Since a coin has 2 sides and you do not know whether the coin you have is the double sided coin then you have to assume that it is a normal 2 sided coin. Therefore a normal 2 sided coin has a probability of \frac{1}{2} or 50% with every flip of getting heads.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

8 0
3 years ago
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